suggest
vt.
1. 建议,提议[+v-ing][+(that)][+wh-]
I suggest our going to the park on Sunday.
我建议我们星期天去公园。
The dentist suggested that she (should) come another day.
牙医建议她改天再来。
2. 暗示;启发[+(that)]
Her expressionsuggested pleasure.
她面露喜。
3. 使人想起,使人联想到[(+to)]
That cloud suggests a boat to me.
那朵云使我联想到船。

advise
vt.
1. 劝告,忠告[O][O2][O5][O6]
We advised her that she (should) wait.
我们劝她等。
We advised him against acting in haste.
我们劝他不要匆忙行事。
2. 当...的顾问[W][(+on)]
3. 通知,告知[(+of)][O5][O6]
Please advise us of any change in your plan.
你们的计划倘有变更,请告诉我们。
4. 建议采取

proper和建议没什么大关系啊...
应该是 propose
1. 提议,建议,提出[+v-ing][+(that)]
It was proposed we go to the station to meet our guests.
有人建议我们去车站接客人。
He proposed building a bridge across this river.
他建议在这条河上造一座桥。
He proposed a get-together this weekend.
他建议本周末聚会。
2. 提(名),推荐
I proposed Mr. Hunter for the job.
我提议亨特先生来干这工作。
3. 计划,打算[+to-v]
They propose to begin tonight.
他们打算今晚开始。
4. 求(婚)
5. 提议祝(酒),提议为...干杯
He proposed a toastto both the bride and bridegroom.
他提议为新娘和新郎干杯。
vi.
1. suggest的名词提出建议
2. 求婚[(+to)]
Have you proposed to Ann?
你向安妮求婚了吗?

order
vt.
1. 命令;指挥[O2][+(that)]
The mayor ordered that free food be distributed.
市长命令发放免费食品。
The judge ordered the prisoner (to be) transferred to the county jail.
法官命令将这囚犯转押县监狱。
He ordered her to go.
他命令她走。
2. 定购;叫(菜或饮料)[O1][(+for)]
Please order me a copy.
请给我定购一本。
3. 整理;安排;布置
4. (医生)嘱咐;处(方)
vi.
1. 下命令,指挥
2. 定购;点菜

command
vt.
1. 命令[O2][+that]
I command that he go at once.
我命令他立即就去。
I command you to start at once.
我命令你立即动身。
2. 指挥,统率;控制
He was told to command his temper.
有人叫他控制脾气。
3. 博得,赢得
Honesty commands respect.
诚实博得尊敬。
4. 俯瞰,俯临
The hill commands the sea.
这座山俯临大海。
5. 拥有,掌握
vi.
1. 指挥;控制;命令
n.
1. 命令[C]
Who issued the command to fire?
谁下令开的?
2. 控制,控制权;指挥,指挥权[U]
He has a hundred men under his command.
他指挥一百个人。

request
n.
1. 要求,请求[C][U][(+for)][+to-v][+that]
Mr. Paine made a request that I should help him.
佩恩先生要求我帮助他。
It is my last request. I shall never ask you anything again.
这是我最后的请求。我再也不会向你提任何要求。
2. 请求的事;(电台等的)点播曲[C]
All my requests were granted.
我所请求的事情全都答应了。
3. 需要,需求[U]
vt.
1. 要求,请求;请求给予[(+from/of)][+to-v][O2][+that]
I requested him to come before ten.
我要求他十点以前来。
They requested financial support.
他们要求资助。
Visitors are requested not to touch the exhibits.
参观者被要求不要触摸展示品。

require
vt.[W]
1. 需要[+v-ing][+that]
The roof requires repairing.
屋顶需要修理了。
This project will require less money.
这项工程所需的投资较少。
2. 【书】要求,命令[(+of)][O2][+that]
The director required that we should work all night.
主任要求我们通宵工作。

demand
n.
1. 要求,请求[C][(+for)]
They rejected the uniondemand.
他们拒绝了工会的要求。
2. 需要,需求[S][U][(+for)]
The supply of vegetables falls short of demand this year.
今年蔬菜供不应求。
vt.
1. 要求,请求[+to-v][+that][(+of)]
The boss demanded that Mary (should) finish it within a week.
老板要求玛丽在一周内完成它。
They demanded the right to vote.
他们要求选举权。
She demanded to see the headmaster.
她请求见校长。
2. 需要

insist

vt.
1. 坚持;坚决认为[+(that)]
She insisted that he was wrong.
她坚持认为他错了。
2. 坚决主张;坚决要求[+(that)]
He insisted that we (should) accept these gifts.
他一定要我们收下这些礼物。
Jane insisted that he be present.
珍坚持要他出席。
vi.
1. 坚持,坚决认为;强调[(+on/upon)]
2. 坚决主张;一定要[(+on/upon)]
He insisted on/upon my going with him.
他坚持要我跟他一起去。
I insist on seeing it.
我一定要见到它。
主要两点：
1.表建议、要求、和命令的动词连接宾语从句，或它们的名词所连接的名词性从句要用虚拟语气：（should） +动词原形
注：例句就看楼上的吧
2.suggest暗示
  order 预订
  insist坚持说、坚持认为
  以上意义时不使用虚拟语气
他们本身并不需要详细区别是啊
以下要注意：
1.suggest sb to do 
  suggest to do 
  这两种说法是错误的，
当可以说suggest to sb,suggest (one's)doing
2.demand 用做动词时是及物动词，用做名词时后要加for
3.require doing=require to be done
主动表被动。