Finite Group Databasebeta

← C22×C4×#92314 #72268930

Subgroups — C22×C4×#92314 #72268930

Order 7776.

5752 conjugacy classes of subgroups.

The subgroup lattice has 474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#11757618C211yesmaximal, characteristic, complemented
2C22×C4×#6900C211yesmaximal, characteristic, complemented
3C22×C4×C3⋊AGL(1,ℤ/9)—32nomaximal
4C22×C4×C3⋊AGL(1,ℤ/9)—32nomaximal
5C22×C4×C9⋊D9C311yesmaximal, characteristic, complemented
6C23×#92314C211yesmaximal, characteristic
7C2×C4×#92314C2112yesmaximal, direct product factor
8C23×#6900C2211yescharacteristic
9C22×#92314C418yesdirect product factor
10C22×#92314C2216yes—
11C2×C4×#6900C2216yescomplemented
12C2×#11757618C2216yescomplemented
13C4×#92314C22116yesdirect product factor
14C23×C3⋊AGL(1,ℤ/9)—32no—
15C23×C3⋊AGL(1,ℤ/9)—32no—
16C22×C3×C4×3−1+2D312yes—
17C22×C3×C4×3−1+2D312yes—
18C22×C3⋊(3−1+2⋊C4)—32no—
19C22×C3⋊(3−1+2⋊C4)—32no—
20C2×C4×C3⋊AGL(1,ℤ/9)—324no—
21C2×C4×C3⋊AGL(1,ℤ/9)—324no—
22C23×C9⋊D9C2×C311yescharacteristic
23C22×C4×C9⋊C9—22no—
24C22×C4×C9⋊C9—22no—
25C22×C4×C92C2×C311yescharacteristic, complemented
26C22×C9⋊Dic9C2×C311yescharacteristic, complemented
27C2×C4×C9⋊D9C2×C3112yescomplemented
28C22×#6900C2×C414yescomplemented
29C22×#6900C2313yes—
30C2×#92314C2×C4124yesdirect product factor
31C2×#92314C2314yes—
32C4×#6900C2314yescomplemented
33#11757618C2314yescomplemented
34C22×C3×C4×C3⋊D3—91no—
35C22×C4×C3⋊D9—32no—
36C22×C4×C3⋊D9—32no—
37C22×C4×AGL(1,ℤ/9)—92no—
38C22×C4×AGL(1,ℤ/9)—94no—
39C22×C4×AGL(1,ℤ/9)—96no—
40C23×C3×3−1+2C2×D312yes—
41C23×C3×3−1+2C2×D312yes—
42C22×C3⋊AGL(1,ℤ/9)—316no—
43C22×C3⋊AGL(1,ℤ/9)—316no—
44C22×C3⋊AGL(1,ℤ/9)—312no—
45C22×C3⋊AGL(1,ℤ/9)—312no—
46C2×C3×C4×3−1+2C2×D3112yes—
47C2×C3×C4×3−1+2C2×D3112yes—
48C2×C3⋊(3−1+2⋊C4)—312no—
49C2×C3⋊(3−1+2⋊C4)—312no—
50C4×C3⋊AGL(1,ℤ/9)—332no—
51C4×C3⋊AGL(1,ℤ/9)—332no—
52C23×C9⋊C9—22no—
53C23×C9⋊C9—22no—
54C23×C92C22×C311yescharacteristic
55C22×C9⋊D9C3×C418yescomplemented
56C22×C9⋊D9C22×C316yes—
57C2×C4×C9⋊C9—212no—
58C2×C4×C9⋊C9—212no—
59C2×C4×C92C22×C316yescomplemented
60C2×C9⋊Dic9C22×C316yescomplemented
61C4×C9⋊D9C22×C3116yescomplemented
62C2×#6900C22×C416yescomplemented
63C2×#6900C2411yescharacteristic
64#92314C22×C418yesdirect product factor
65C23×C3×C3⋊D3—91no—
66C22×C33×C4C3⋊D311yescharacteristic
67C22×C3×C3⋊Dic3—91no—
68C2×C3×C4×C3⋊D3—912no—
69C23×C3⋊D9—32no—
70C23×C3⋊D9—32no—
71C23×AGL(1,ℤ/9)—92no—
72C23×AGL(1,ℤ/9)—94no—
73C23×AGL(1,ℤ/9)—96no—
74C22×C4×3−1+2—32no—
75C22×C4×3−1+2—64no—
76C22×C4×3−1+2—66no—
77C22×C3×C4×C9—22no—
78C22×C3×C4×C9—22no—
79C22×C3×C4×C9C3×D312yes—
80C22×C3×C4×C9C3×D312yes—
81C22×C3⋊Dic9—32no—
82C22×C3⋊Dic9—32no—
83C2×C4×C3⋊D9—324no—
84C2×C4×C3⋊D9—324no—
85C22×3−1+2⋊C4—92no—
86C22×3−1+2⋊C4—94no—
87C22×3−1+2⋊C4—96no—
88C2×C4×AGL(1,ℤ/9)—924no—
89C2×C4×AGL(1,ℤ/9)—948no—
90C2×C4×AGL(1,ℤ/9)—972no—
91C22×C3×3−1+2C4×D318yes—
92C22×C3×3−1+2C4×D318yes—
93C22×C3×3−1+2C22×D316yes—
94C22×C3×3−1+2C22×D316yes—
95C2×C3⋊AGL(1,ℤ/9)—348no—
96C2×C3⋊AGL(1,ℤ/9)—348no—
97C2×C3⋊AGL(1,ℤ/9)—38no—
98C2×C3⋊AGL(1,ℤ/9)—38no—
99C3×C4×3−1+2C22×D318yes—
100C3×C4×3−1+2C22×D318yes—
101C3⋊(3−1+2⋊C4)—38no—
102C3⋊(3−1+2⋊C4)—38no—
103C22×C9⋊C9—28no—
104C22×C9⋊C9—28no—
105C22×C9⋊C9—26no—
106C22×C9⋊C9—26no—
107C22×C92C2×C3×C414yescomplemented
108C22×C92C23×C313yes—
109C2×C9⋊D9C2×C3×C4124yescomplemented
110C2×C9⋊D9C23×C314yes—
111C4×C9⋊C9—28no—
112C4×C9⋊C9—28no—
113C4×C92C23×C314yescomplemented
114C9⋊Dic9C23×C314yescomplemented
115C22×C4×C3⋊D3—91no—
116C22×C3×C4×D3—272no—
117C22×C3×C4×D3—272no—
118C22×C4×D9—92no—
119C22×C4×D9—94no—
120C22×C4×D9—96no—
121#6900C23×C411yescharacteristic, complemented, Sylow
122C23×C33C2×C3⋊D311yescharacteristic
123C22×C3×C3⋊D3—98no—
124C22×C3×C3⋊D3—96no—
125C2×C33×C4C2×C3⋊D316yes—
126C2×C3×C3⋊Dic3—96no—
127C3×C4×C3⋊D3—916no—
128C23×3−1+2—32no—
129C23×3−1+2—64no—
130C23×3−1+2—66no—
131C23×C3×C9—22no—
132C23×C3×C9—22no—
133C23×C3×C9C2×C3×D312yes—
134C23×C3×C9C2×C3×D312yes—
135C22×C3⋊D9—316no—
136C22×C3⋊D9—316no—
137C22×C3⋊D9—312no—
138C22×C3⋊D9—312no—
139C22×AGL(1,ℤ/9)—912no—
140C22×AGL(1,ℤ/9)—916no—
141C22×AGL(1,ℤ/9)—924no—
142C22×AGL(1,ℤ/9)—936no—
143C22×AGL(1,ℤ/9)—932no—
144C22×AGL(1,ℤ/9)—948no—
145C2×C4×3−1+2—312no—
146C2×C4×3−1+2—624no—
147C2×C4×3−1+2—636no—
148C2×C3×C4×C9—212no—
149C2×C3×C4×C9—212no—
150C2×C3×C4×C9C2×C3×D3112yes—
151C2×C3×C4×C9C2×C3×D3112yes—
152C2×C3⋊Dic9—312no—
153C2×C3⋊Dic9—312no—
154C4×C3⋊D9—332no—
155C4×C3⋊D9—332no—
156C2×3−1+2⋊C4—912no—
157C2×3−1+2⋊C4—924no—
158C2×3−1+2⋊C4—936no—
159C4×AGL(1,ℤ/9)—932no—
160C4×AGL(1,ℤ/9)—964no—
161C4×AGL(1,ℤ/9)—996no—
162C2×C3×3−1+2C2×C4×D3112yes—
163C2×C3×3−1+2C2×C4×D3112yes—
164C2×C3×3−1+2C23×D312yes—
165C2×C3×3−1+2C23×D312yes—
166C3⋊AGL(1,ℤ/9)—316no—
167C3⋊AGL(1,ℤ/9)—316no—
168C2×C9⋊C9—22no—
169C2×C9⋊C9—22no—
170C2×C9⋊C9—212no—
171C2×C9⋊C9—212no—
172C2×C92C22×C3×C416yescomplemented
173C2×C92C24×C311yescharacteristic
174C9⋊D9C22×C3×C418yescomplemented
175C23×C3⋊D3—91no—
176C23×C3×D3—272no—
177C23×C3×D3—272no—
178C22×C32×C4—62no—
179C22×C32×C4—62no—
180C22×C32×C4C3×C3⋊D311yescharacteristic
181C22×C3⋊Dic3—91no—
182C2×C4×C3⋊D3—912no—
183C22×C3×Dic3—272no—
184C22×C3×Dic3—272no—
185C2×C3×C4×D3—2724no—
186C2×C3×C4×D3—2724no—
187C23×D9—92no—
188C23×D9—94no—
189C23×D9—96no—
190C22×C4×C9—62no—
191C22×C4×C9—62no—
192C22×C4×C9AGL(1,ℤ/9)12yescomplemented
193C22×C4×C9AGL(1,ℤ/9)14yescomplemented
194C22×C4×C9AGL(1,ℤ/9)16yescomplemented
195C22×Dic9—92no—
196C22×Dic9—94no—
197C22×Dic9—96no—
198C2×C4×D9—924no—
199C2×C4×D9—948no—
200C2×C4×D9—972no—
201C22×C33C4×C3⋊D314yes—
202C22×C33C22×C3⋊D313yes—
203C2×C3×C3⋊D3—94no—
204C2×C3×C3⋊D3—924no—
205C33×C4C22×C3⋊D314yes—
206C3×C3⋊Dic3—94no—
207C22×3−1+2—38no—
208C22×3−1+2—36no—
209C22×3−1+2—616no—
210C22×3−1+2—624no—
211C22×3−1+2—612no—
212C22×3−1+2—618no—
213C22×C3×C9—28no—
214C22×C3×C9—28no—
215C22×C3×C9—26no—
216C22×C3×C9—26no—
217C22×C3×C9C3×C4×D318yes—
218C22×C3×C9C3×C4×D318yes—
219C22×C3×C9C22×C3×D316yes—
220C22×C3×C9C22×C3×D316yes—
221C2×C3⋊D9—38no—
222C2×C3⋊D9—38no—
223C2×C3⋊D9—348no—
224C2×C3⋊D9—348no—
225C2×AGL(1,ℤ/9)—98no—
226C2×AGL(1,ℤ/9)—948no—
227C2×AGL(1,ℤ/9)—916no—
228C2×AGL(1,ℤ/9)—924no—
229C2×AGL(1,ℤ/9)—996no—
230C2×AGL(1,ℤ/9)—9144no—
231C4×3−1+2—38no—
232C4×3−1+2—616no—
233C4×3−1+2—624no—
234C3×C4×C9—28no—
235C3×C4×C9—28no—
236C3×C4×C9C22×C3×D318yes—
237C3×C4×C9C22×C3×D318yes—
238C3⋊Dic9—38no—
239C3⋊Dic9—38no—
2403−1+2⋊C4—98no—
2413−1+2⋊C4—916no—
2423−1+2⋊C4—924no—
243C23×C3×C4—811no—
244C22×C4×D3—272no—
245C22×C4×D3—272no—
246C3×3−1+2C22×C4×D312yes—
247C3×3−1+2C22×C4×D312yes—
248C9⋊C9—22no—
249C9⋊C9—22no—
250C92C23×C3×C411yescharacteristic, complemented
251C23×C32—62no—
252C23×C32—62no—
253C23×C32C2×C3×C3⋊D311yescharacteristic
254C22×C3⋊D3—98no—
255C22×C3⋊D3—96no—
256C22×C3×D3—2716no—
257C22×C3×D3—2716no—
258C22×C3×D3—2712no—
259C22×C3×D3—2712no—
260C2×C32×C4—612no—
261C2×C32×C4—612no—
262C2×C32×C4C2×C3×C3⋊D316yes—
263C2×C3⋊Dic3—96no—
264C4×C3⋊D3—916no—
265C2×C3×Dic3—2712no—
266C2×C3×Dic3—2712no—
267C3×C4×D3—2732no—
268C3×C4×D3—2732no—
269C23×C9—62no—
270C23×C9—62no—
271C23×C9C2×AGL(1,ℤ/9)12yes—
272C23×C9C2×AGL(1,ℤ/9)14yes—
273C23×C9C2×AGL(1,ℤ/9)16yes—
274C22×D9—916no—
275C22×D9—932no—
276C22×D9—948no—
277C22×D9—912no—
278C22×D9—924no—
279C22×D9—936no—
280C2×C4×C9—612no—
281C2×C4×C9—612no—
282C2×C4×C9C2×AGL(1,ℤ/9)112yescomplemented
283C2×C4×C9C2×AGL(1,ℤ/9)124yescomplemented
284C2×C4×C9C2×AGL(1,ℤ/9)136yescomplemented
285C2×Dic9—912no—
286C2×Dic9—924no—
287C2×Dic9—936no—
288C4×D9—932no—
289C4×D9—964no—
290C4×D9—996no—
291C2×C33C2×C4×C3⋊D316yes—
292C2×C33C23×C3⋊D311yescharacteristic
293C3×C3⋊D3—98no—
294C2×3−1+2—32no—
295C2×3−1+2—312no—
296C2×3−1+2—64no—
297C2×3−1+2—66no—
298C2×3−1+2—624no—
299C2×3−1+2—636no—
300C2×C3×C9—22no—
301C2×C3×C9—22no—
302C2×C3×C9—212no—
303C2×C3×C9—212no—
304C2×C3×C9C2×C3×C4×D3112yes—
305C2×C3×C9C2×C3×C4×D3112yes—
306C2×C3×C9C23×C3×D312yes—
307C2×C3×C9C23×C3×D312yes—
308C3⋊D9—316no—
309C3⋊D9—316no—
310AGL(1,ℤ/9)—916no—
311AGL(1,ℤ/9)—932no—
312AGL(1,ℤ/9)—948no—
313C24×C3—811no—
314C23×D3—272no—
315C23×D3—272no—
316C22×C3×C4—181no—
317C22×C3×C4—8112no—
318C22×C3×C4—811no—
319C22×C3×C4C3⋊AGL(1,ℤ/9)12yes—
320C22×C3×C4C3⋊AGL(1,ℤ/9)12yes—
321C22×Dic3—272no—
322C22×Dic3—272no—
323C2×C4×D3—2724no—
324C2×C4×D3—2724no—
325C22×C32—68no—
326C22×C32—68no—
327C22×C32—66no—
328C22×C32—66no—
329C22×C32C3×C4×C3⋊D314yes—
330C22×C32C22×C3×C3⋊D313yes—
331C2×C3⋊D3—94no—
332C2×C3⋊D3—924no—
333C2×C3×D3—278no—
334C2×C3×D3—278no—
335C2×C3×D3—2748no—
336C2×C3×D3—2748no—
337C32×C4—68no—
338C32×C4—68no—
339C32×C4C22×C3×C3⋊D314yes—
340C3⋊Dic3—94no—
341C3×Dic3—278no—
342C3×Dic3—278no—
343C22×C9—68no—
344C22×C9—68no—
345C22×C9—66no—
346C22×C9—66no—
347C22×C9C4×AGL(1,ℤ/9)18yescomplemented
348C22×C9C4×AGL(1,ℤ/9)116yescomplemented
349C22×C9C4×AGL(1,ℤ/9)124yescomplemented
350C22×C9C22×AGL(1,ℤ/9)16yes—
351C22×C9C22×AGL(1,ℤ/9)112yes—
352C22×C9C22×AGL(1,ℤ/9)118yes—
353C2×D9—98no—
354C2×D9—916no—
355C2×D9—924no—
356C2×D9—948no—
357C2×D9—996no—
358C2×D9—9144no—
359C4×C9—68no—
360C4×C9—68no—
361C4×C9C22×AGL(1,ℤ/9)18yescomplemented
362C4×C9C22×AGL(1,ℤ/9)116yescomplemented
363C4×C9C22×AGL(1,ℤ/9)124yescomplemented
364Dic9—98no—
365Dic9—916no—
366Dic9—924no—
367C23×C4—811noSylow
368C33C22×C4×C3⋊D311yescharacteristic
3693−1+2—32no—
3703−1+2—64no—
3713−1+2—66no—
372C3×C9—22no—
373C3×C9—22no—
374C3×C9C22×C3×C4×D312yes—
375C3×C9C22×C3×C4×D312yes—
376C23×C3—181no—
377C23×C3—816no—
378C23×C3—818no—
379C23×C3C2×C3⋊AGL(1,ℤ/9)12yes—
380C23×C3C2×C3⋊AGL(1,ℤ/9)12yes—
381C22×D3—2716no—
382C22×D3—2716no—
383C22×D3—2712no—
384C22×D3—2712no—
385C2×C3×C4—186no—
386C2×C3×C4—8116no—
387C2×C3×C4—816no—
388C2×C3×C4C2×C3⋊AGL(1,ℤ/9)112yes—
389C2×C3×C4C2×C3⋊AGL(1,ℤ/9)112yes—
390C2×Dic3—2712no—
391C2×Dic3—2712no—
392C4×D3—2732no—
393C4×D3—2732no—
394C2×C32—62no—
395C2×C32—62no—
396C2×C32—612no—
397C2×C32—612no—
398C2×C32C2×C3×C4×C3⋊D316yes—
399C2×C32C23×C3×C3⋊D311yescharacteristic
400C3⋊D3—98no—
401C3×D3—2716no—
402C3×D3—2716no—
403C2×C9—62no—
404C2×C9—62no—
405C2×C9—612no—
406C2×C9—612no—
407C2×C9C2×C4×AGL(1,ℤ/9)112yescomplemented
408C2×C9C2×C4×AGL(1,ℤ/9)124yescomplemented
409C2×C9C2×C4×AGL(1,ℤ/9)136yescomplemented
410C2×C9C23×AGL(1,ℤ/9)12yes—
411C2×C9C23×AGL(1,ℤ/9)14yes—
412C2×C9C23×AGL(1,ℤ/9)16yes—
413D9—916no—
414D9—932no—
415D9—948no—
416C24—811no—
417C22×C4—811no—
418C22×C4—8112no—
419C22×C4#9231411yescharacteristic, direct product factor
420C22×C3—184no—
421C22×C3—183no—
422C22×C3—814no—
423C22×C3—8124no—
424C22×C3C4×C3⋊AGL(1,ℤ/9)18yes—
425C22×C3C4×C3⋊AGL(1,ℤ/9)18yes—
426C22×C3C22×C3⋊AGL(1,ℤ/9)16yes—
427C22×C3C22×C3⋊AGL(1,ℤ/9)16yes—
428C2×D3—278no—
429C2×D3—278no—
430C2×D3—2748no—
431C2×D3—2748no—
432C3×C4—184no—
433C3×C4—814no—
434C3×C4C22×C3⋊AGL(1,ℤ/9)18yes—
435C3×C4C22×C3⋊AGL(1,ℤ/9)18yes—
436Dic3—278no—
437Dic3—278no—
438C32—62no—
439C32—62no—
440C32C22×C3×C4×C3⋊D311yescharacteristic
441C9—62no—
442C9—62no—
443C9C22×C4×AGL(1,ℤ/9)12yescomplemented
444C9C22×C4×AGL(1,ℤ/9)14yescomplemented
445C9C22×C4×AGL(1,ℤ/9)16yescomplemented
446C23—818no—
447C23—816no—
448C23C2×#9231411yescharacteristic
449C2×C4—816no—
450C2×C4—8116no—
451C2×C4C2×#9231416yesdirect product factor
452C2×C3—186no—
453C2×C3—181no—
454C2×C3—818no—
455C2×C3C2×C4×C3⋊AGL(1,ℤ/9)112yes—
456C2×C3C2×C4×C3⋊AGL(1,ℤ/9)112yes—
457C2×C3C23×C3⋊AGL(1,ℤ/9)12yes—
458C2×C3C23×C3⋊AGL(1,ℤ/9)12yes—
459D3—2716no—
460D3—2716no—
461C22—8124no—
462C22—814no—
463C22C4×#9231414yesdirect product factor
464C22C22×#9231413yes—
465C4—814no—
466C4C22×#9231414yesdirect product factor
467C3—181no—
468C3C22×C4×C3⋊AGL(1,ℤ/9)12yes—
469C3C22×C4×C3⋊AGL(1,ℤ/9)12yes—
470C2—818no—
471C2C2×C4×#9231416yesdirect product factor
472C2C23×#9231411yescharacteristic
subgroupG/H
center, hypercenterC22×C4#92314
commutator, hypocenterC92C23×C3×C4
FrattiniC2×C32C23×C3×C3⋊D3
FittingC22×C4×#6900C2
socleC23×C32C2×C3×C3⋊D3
prime radicalC23×#92314C2
cosocleC2×C92C24×C3
LCSG ▷ C92
UCSC1 ◁ C22×C4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#11757618C2semidirect
2. C22×C4×#6900C2semidirect
5. C22×C4×C9⋊D9C3semidirect
7. C2×C4×#92314C2direct (N × H)
9. C22×#92314C4direct (N × H)
11. C2×C4×#6900C22semidirect
12. C2×#11757618C22semidirect
13. C4×#92314C22direct (N × H)
25. C22×C4×C92C2×C3semidirect
26. C22×C9⋊Dic9C2×C3semidirect
27. C2×C4×C9⋊D9C2×C3semidirect
28. C22×#6900C2×C4semidirect
30. C2×#92314C2×C4direct (N × H)
32. C4×#6900C23semidirect
33. #11757618C23semidirect
55. C22×C9⋊D9C3×C4semidirect
59. C2×C4×C92C22×C3semidirect
60. C2×C9⋊Dic9C22×C3semidirect
61. C4×C9⋊D9C22×C3semidirect
62. C2×#6900C22×C4semidirect
64. #92314C22×C4direct (N × H)
107. C22×C92C2×C3×C4semidirect
109. C2×C9⋊D9C2×C3×C4semidirect
113. C4×C92C23×C3semidirect
114. C9⋊Dic9C23×C3semidirect
121. #6900C23×C4semidirect
172. C2×C92C22×C3×C4semidirect
174. C9⋊D9C22×C3×C4semidirect
192. C22×C4×C9AGL(1,ℤ/9)semidirect
193. C22×C4×C9AGL(1,ℤ/9)semidirect
194. C22×C4×C9AGL(1,ℤ/9)semidirect
250. C92C23×C3×C4semidirect
282. C2×C4×C9C2×AGL(1,ℤ/9)semidirect
283. C2×C4×C9C2×AGL(1,ℤ/9)semidirect
284. C2×C4×C9C2×AGL(1,ℤ/9)semidirect
347. C22×C9C4×AGL(1,ℤ/9)semidirect
348. C22×C9C4×AGL(1,ℤ/9)semidirect
349. C22×C9C4×AGL(1,ℤ/9)semidirect
361. C4×C9C22×AGL(1,ℤ/9)semidirect
362. C4×C9C22×AGL(1,ℤ/9)semidirect
363. C4×C9C22×AGL(1,ℤ/9)semidirect
407. C2×C9C2×C4×AGL(1,ℤ/9)semidirect
408. C2×C9C2×C4×AGL(1,ℤ/9)semidirect
409. C2×C9C2×C4×AGL(1,ℤ/9)semidirect
419. C22×C4#92314direct (N × H)
443. C9C22×C4×AGL(1,ℤ/9)semidirect
444. C9C22×C4×AGL(1,ℤ/9)semidirect
445. C9C22×C4×AGL(1,ℤ/9)semidirect
451. C2×C4C2×#92314direct (N × H)
463. C22C4×#92314direct (N × H)
466. C4C22×#92314direct (N × H)
471. C2C2×C4×#92314direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#117576182
C22×C4×#69002
C22×C4×C3⋊AGL(1,ℤ/9)3
C22×C4×C9⋊D93
C23×#923142
C2×C4×#923142