Finite Group Databasebeta

← #36367167

Subgroups — #36367167

Order 22144.

1242 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26012224C211yesmaximal, characteristic, complemented
2#26012200C211yesmaximal, characteristic, complemented
3#26012196C211yesmaximal, characteristic, complemented
4#26012191C211yesmaximal, characteristic, complemented
5#26012190C212yesmaximal, complemented
6#26012189C211yesmaximal, characteristic, complemented
7#26012170C212yesmaximal, complemented
8#26012167C212yesmaximal, complemented
9#26012136C211yesmaximal, characteristic, complemented
10#26012135C211yesmaximal, characteristic, complemented
11#26012131C212yesmaximal, complemented
12D4×C22⋊D173C211yesmaximal, characteristic, complemented
13#26012038C211yesmaximal, characteristic, complemented
14#26012025C211yesmaximal, characteristic, complemented
15#26012023C211yesmaximal, characteristic, complemented
16#26012021C212yesmaximal, complemented
17#26012002C212yesmaximal, complemented
18#26012000C212yesmaximal, complemented
19C4×#14583826C211yesmaximal, characteristic, complemented
20C4×#14583825C211yesmaximal, characteristic, complemented
21C2×C4×C22⋊D173C212yesmaximal, complemented
22C4×D4×D173C211yesmaximal, characteristic, complemented
23C2×C4×D4×C173C211yesmaximal, characteristic, complemented
24C2×#14583826C2211yescharacteristic
25C2×#14583826C2212yescomplemented
26C2×#14583825C2211yescharacteristic
27C22×C22⋊D173C2212yes—
28C2×D4×D173C2211yescharacteristic
29C22×C4×D173C2212yescomplemented
30#19149678C2211yescharacteristic, complemented
31#19149675C2211yescharacteristic
32#19149674C2212yescomplemented
33#19149673C2212yescomplemented
34#19149672C2212yescomplemented
35#19149672C2212yescomplemented
36#19149671C2211yescharacteristic, complemented
37#19149670C2211yescharacteristic, complemented
38#19149669C2212yescomplemented
39#19149667C2211yescharacteristic, complemented
40#19149666C2211yescharacteristic, complemented
41#19149665C2212yescomplemented
42#19149665C2212yescomplemented
43#19149664C2212yescomplemented
44#19149663C2212yescomplemented
45#19149662C2212yescomplemented
46#19149662C2212yescomplemented
47#19149662C2212yescomplemented
48#19149661C2212yescomplemented
49#19149661C2212yescomplemented
50#19149660C2212yescomplemented
51#19149659C2211yescharacteristic, complemented
52#19149658C2212yescomplemented
53#19149658C2212yescomplemented
54#19149658C2211yescharacteristic, complemented
55#19149657C2212yescomplemented
56#19149656C2212yescomplemented
57#19149656C2212yescomplemented
58#19149654C2211yescharacteristic, complemented
59#19149653C2211yescharacteristic
60#19149653C2212yescomplemented
61#19149653C2212yescomplemented
62#19149652C2212yescomplemented
63#19149652C2212yescomplemented
64#19149651C2212yes—
65#19149651C2212yescomplemented
66#19149650C2211yescharacteristic
67#19149650C2211yescharacteristic, complemented
68#19149649C2212yescomplemented
69#19149648C2212yes—
70#19149648C2212yescomplemented
71#19149647C2212yes—
72C4×Dic346C2211yescharacteristic, complemented
73C4×Dic346C2211yescharacteristic, complemented
74C4×Dic346C2211yescharacteristic, complemented
75#19149644C2211yescharacteristic, complemented
76C4×D692C2211yescharacteristic, complemented
77C4×D692C2211yescharacteristic, complemented
78C4×D692C2211yescharacteristic, complemented
79D4×Dic173C2211yescharacteristic
80D4×Dic173C2211yescharacteristic
81#19149641C2211yescharacteristic, complemented
82C4×C22⋊D173C2212yes—
83C4×C22⋊D173C2211yescharacteristic
84C4×C22⋊D173C2211yescharacteristic
85C4×C22⋊D173C2212yescomplemented
86C4×C22⋊D173C2212yescomplemented
87C4×C22⋊D173C2211yescharacteristic, complemented
88C4×C22⋊D173C2212yescomplemented
89C4×C22⋊D173C2212yescomplemented
90C4×C22⋊D173C2212yescomplemented
91C4×C22⋊D173C2212yescomplemented
92C4×C22⋊D173C2212yescomplemented
93C4×C22⋊D173C2212yescomplemented
94C4×C22⋊D173C2211yescharacteristic, complemented
95#19149639C2212yescomplemented
96#19149639C2212yescomplemented
97#19149638C2211yescharacteristic, complemented
98#19149638C2212yescomplemented
99#19149637C2211yescharacteristic, complemented
100#19149636C2211yescharacteristic, complemented
101#19149636C2211yescharacteristic, complemented
102#19149636C2212yescomplemented
103#19149635C2212yescomplemented
104C2×#14583805C2212yescomplemented
105C4⋊C4×D173C2211yescharacteristic, complemented
106C2×C22⋊Dic173C2212yescomplemented
107C2×#14583803C2212yescomplemented
108C22⋊C4×D173C2212yescomplemented
109C2×C4×Dic173C2212yescomplemented
110C42×D173C2211yescharacteristic, complemented
111C42×D173C2211yescharacteristic, complemented
112C22×D4×C173C2211yescharacteristic
113C23×C4×C173C2212yescomplemented
114C4×D4×C173C2211yescharacteristic
115C4×D4×C173C2211yescharacteristic
116C4×D4×C173C2212yescomplemented
117C4×D4×C173C2211yescharacteristic, complemented
118C4×D4×C173C2212yescomplemented
119C4×D4×C173C2211yescharacteristic, complemented
120C2×C4⋊C4×C173C2211yescharacteristic, complemented
121C2×C22⋊C4×C173C2212yescomplemented
122C2×C42×C173C2211yescharacteristic, complemented
123C23×D173C2312yes—
124#14583826—24no—
125#14583826—44no—
126#14583825—24no—
127C2×Dic346C2311yescharacteristic
128C2×Dic346C2311yescharacteristic
129C2×Dic346C2312yes—
130C2×D692C2311yescharacteristic
131C2×D692C2311yescharacteristic
132C2×D692C2312yes—
133C2×C22⋊D173—28no—
134C2×C22⋊D173C2312yes—
135C2×C22⋊D173C2312yes—
136C2×C22⋊D173C2312yes—
137C2×C22⋊D173C2312yes—
138C2×C22⋊D173C2311yescharacteristic
139C2×C22⋊D173C2312yes—
140C2×C22⋊D173C2312yes—
141C2×C22⋊D173C2312yes—
142C2×C22⋊D173C2311yescharacteristic
143D4×D173—24no—
144C22×Dic173C2312yes—
145C22×Dic173C2312yes—
146C22×Dic173C2312yes—
147C2×C4×D173—44no—
148C2×C4×D173C2311yescharacteristic
149C2×C4×D173C2311yescharacteristic
150C2×C4×D173C2311yescharacteristic
151C2×C4×D173C2311yescharacteristic
152C2×C4×D173C2311yescharacteristic
153C2×C4×D173C2311yescharacteristic
154C2×C4×D173C2312yes—
155C2×C4×D173C2312yes—
156C2×C4×D173C2312yes—
157C4⋊Dic173C2311yescharacteristic
158C4⋊Dic173C2311yescharacteristic
159C4⋊Dic173C2311yescharacteristic
160C4⋊Dic173C2311yescharacteristic
161C4⋊Dic173C2312yes—
162C4⋊Dic173C2312yes—
163#14583805C2312yes—
164#14583805C2311yescharacteristic
165#14583805C2312yes—
166#14583805C2312yes—
167#14583805C2312yes—
168#14583805C2312yes—
169#14583805C2312yes—
170#14583805C2311yescharacteristic
171#14583805C2311yescharacteristic
172#14583805C2311yescharacteristic
173#14583805C2312yes—
174#14583805C2312yes—
175C22⋊Dic173C2312yes—
176C22⋊Dic173C2311yescharacteristic
177C22⋊Dic173C2312yes—
178C22⋊Dic173C2312yes—
179C22⋊Dic173C2312yes—
180C22⋊Dic173C2312yes—
181C22⋊Dic173C2311yescharacteristic
182C22⋊Dic173C2312yes—
183C22⋊Dic173C2312yes—
184#14583803C2312yes—
185#14583803C2312yes—
186#14583803C2311yescharacteristic
187#14583803C2312yes—
188#14583803C2312yes—
189#14583803C2312yes—
190#14583803C2311yescharacteristic
191#14583803C2311yescharacteristic
192#14583803C2311yescharacteristic
193#14583803C2312yes—
194#14583803C2312yes—
195#14583803C2312yes—
196C4×Dic173C2311yescharacteristic
197C4×Dic173C2311yescharacteristic
198C4×Dic173C2311yescharacteristic
199C4×Dic173C2311yescharacteristic
200C4×Dic173C2311yescharacteristic
201C4×Dic173C2311yescharacteristic
202C4×Dic173C2312yes—
203C4×Dic173C2312yes—
204C4×Dic173C2312yes—
205C24×C173C2312yes—
206C2×D4×C173—24no—
207C2×D4×C173C2312yes—
208C2×D4×C173C2311yescharacteristic
209C2×D4×C173C2311yescharacteristic
210C22×C4×C173—44no—
211C22×C4×C173C2311yescharacteristic
212C22×C4×C173C2312yes—
213C22×C4×C173C2312yes—
214C22×C4×C173C2311yescharacteristic
215C22×C4×C173C2311yescharacteristic
216C22×C4×C173C2312yes—
217C22×C4×C173C2312yes—
218C22×C4×C173C2312yes—
219C4⋊C4×C173C2311yescharacteristic
220C4⋊C4×C173C2311yescharacteristic
221C4⋊C4×C173C2312yes—
222C22⋊C4×C173C2312yes—
223C22⋊C4×C173C2312yes—
224C22⋊C4×C173C2312yes—
225C22⋊C4×C173C2312yes—
226C42×C173C2311yescharacteristic
227C42×C173C2311yescharacteristic
228C42×C173C2311yescharacteristic
229C42×C173C2311yescharacteristic
230C22×D173—24no—
231C22×D173—24no—
232C22×D173—42no—
233C22×D173C2411yescharacteristic
234C22×D173C2412yes—
235C22×D173C2411yescharacteristic
236Dic346—22no—
237Dic346—22no—
238Dic346—42no—
239D692—22no—
240D692—22no—
241D692—42no—
242C22⋊D173—24no—
243C22⋊D173—24no—
244C22⋊D173—24no—
245C22⋊D173—22no—
246C22⋊D173—24no—
247C22⋊D173—24no—
248C22⋊D173—42no—
249C22⋊D173—42no—
250C22⋊D173#4114yescomplemented
251C2×Dic173—24no—
252C2×Dic173—24no—
253C2×Dic173—42no—
254C2×Dic173C2411yescharacteristic
255C2×Dic173C2412yes—
256C2×Dic173C2411yescharacteristic
257C2×Dic173C2411yescharacteristic
258C2×Dic173C2411yescharacteristic
259C2×Dic173C2411yescharacteristic
260C2×Dic173C2412yes—
261C2×Dic173C2412yes—
262C2×Dic173C2411yescharacteristic
263C4×D173—22no—
264C4×D173—22no—
265C4×D173—22no—
266C4×D173—22no—
267C4×D173—24no—
268C4×D173—22no—
269C4×D173—22no—
270C4×D173—42no—
271C4×D173—42no—
272C23×C173—24no—
273C23×C173—24no—
274C23×C173—42no—
275C23×C173C2412yes—
276C23×C173C2412yes—
277C23×C173C2411yescharacteristic
278D4×C173—24no—
279D4×C173—22no—
280D4×C173#4114yescomplemented
281C2×C4×C173—22no—
282C2×C4×C173—22no—
283C2×C4×C173—24no—
284C2×C4×C173—24no—
285C2×C4×C173—22no—
286C2×C4×C173—42no—
287C2×C4×C173—42no—
288C2×C4×C173—42no—
289C2×C4×C173C2411yescharacteristic
290C2×C4×C173C2412yes—
291C2×C4×C173C2411yescharacteristic
292C2×C4×C173C2412yes—
293C2×C4×C173C2411yescharacteristic
294C2×C4×C173C2411yescharacteristic
295C2×C4×C173C2411yescharacteristic
296C2×C4×C173C2411yescharacteristic
297C22×C173—21no—
298C22×C173—22no—
299C22×C173—21no—
300C22×C173—22no—
301C22×C173—22no—
302C22×C173—22no—
303C22×C173—22no—
304C22×C173—48no—
305C22×C173C2×#4112yes—
306C22×C173C2×#4114yes—
307C22×C173C2511yescharacteristic
308C2×D173—21no—
309C2×D173—21no—
310C2×D173—21no—
311C2×D173—21no—
312C2×D173—22no—
313C2×D173—22no—
314C2×D173—22no—
315C2×D173—21no—
316C2×D173—48no—
317C2×D173C2×#4112yes—
318C4×C173—21no—
319C4×C173—21no—
320C4×C173—21no—
321C4×C173—21no—
322C4×C173—22no—
323C4×C173—22no—
324C4×C173C2×#4112yes—
325C4×C173H(5,𝔽2)12yes—
326Dic173—21no—
327Dic173—21no—
328Dic173—21no—
329Dic173—22no—
330Dic173—22no—
331Dic173—21no—
332Dic173—22no—
333Dic173—21no—
334Dic173C2×#4112yes—
335C2×C173—24no—
336C2×C173—22no—
337C2×C173—42no—
338C2×C173C22×#4111yescharacteristic
339C2×C173C22×#4111yescharacteristic
340C2×C173C2×H(5,𝔽2)11yescharacteristic
341D173—22no—
342D173—41no—
343D173—42no—
344C173#348111yescharacteristic, complemented, Sylow
345#3481—1731nomaximal, Sylow
346#559—1731no—
347#554—1731no—
348#554—1731no—
349#553—1732no—
350#553—1731no—
351#553—1731no—
352#551—1732no—
353#551—1732no—
354#546—1731no—
355#546—1731no—
356#546—1732no—
357D42—1731no—
358#532—1731no—
359#529—1732no—
360#529—1731no—
361#529—1731no—
362#525—1732no—
363#525—1732no—
364C4×#41—1731no—
365C4×#41—1731no—
366C2×C4×D4—1732no—
367C2×C4×D4—1731no—
368C2×C4×D4D17311yescharacteristic, complemented
369C2×#41—1731no—
370C2×#41—1731no—
371C2×#41—1732no—
372C22×D4—1732no—
373C22×D4—1731no—
374C22×D4C2×D17311yescharacteristic
375C23×C4—1732no—
376C23×C4C2×D17312yescomplemented
377C4⋊Q8—1731no—
378#127—1731no—
379#126—1732no—
380#126—1732no—
381#126—1732no—
382#126—1732no—
383#125—1732no—
384#125—1731no—
385#125—1731no—
386#124—1731no—
387#124—1732no—
388#124—1732no—
389#124—1731no—
390#123—1732no—
391#123—1732no—
392#123—1732no—
393#123—1732no—
394#123—1732no—
395#123—1732no—
396#123—1732no—
397#123—1732no—
398C22⋊Q8—1732no—
399C22⋊Q8—1732no—
400C22⋊Q8—1731no—
401C22⋊Q8—1732no—
402C22⋊Q8—1731no—
403C22⋊Q8—1732no—
404C22⋊Q8—1732no—
405#121—1732no—
406#121—1731no—
407#121—1732no—
408#121—1731no—
409#121—1732no—
410#121—1732no—
411#121—1731no—
412#121—1731no—
413#121—1732no—
414#121—1732no—
415#120—1732no—
416#120—1732no—
417#120—1732no—
418#120—1732no—
419C4×Q8—1731no—
420C4×Q8—1731no—
421C4×Q8—1731no—
422C4×Q8—1731no—
423C4×D4—1731no—
424C4×D4—1731no—
425C4×D4—1731no—
426C4×D4—1732no—
427C4×D4—1732no—
428C4×D4—1732no—
429C4×D4—1732no—
430C4×D4—1732no—
431C4×D4—1732no—
432C4×D4—1732no—
433C4×D4—1732no—
434C4×D4—1732no—
435C4×D4—1731no—
436C4×D4—1731no—
437C4×D4—1731no—
438C4×D4—1731no—
439C4×D4—1732no—
440C4×D4—1732no—
441C4×D4—1731no—
442C4×D4—1731no—
443C4×D4—1731no—
444C4×D4C2×D17311yescharacteristic
445C4×D4C2×D17311yescharacteristic
446C4×D4C2×D17312yescomplemented
447C4×D4C2×D17311yescharacteristic, complemented
448C4×D4C2×D17312yescomplemented
449C4×D4C2×D17311yescharacteristic, complemented
450#117—1731no—
451#117—1732no—
452#117—1731no—
453#117—1732no—
454#117—1731no—
455#117—1731no—
456#117—1732no—
457C2×C4⋊C4—1732no—
458C2×C4⋊C4—1731no—
459C2×C4⋊C4C2×D17311yescharacteristic, complemented
460C2×C22⋊C4—1732no—
461C2×C22⋊C4—1732no—
462C2×C22⋊C4—1732no—
463C2×C22⋊C4C2×D17312yescomplemented
464C2×C42—1732no—
465C2×C42—1731no—
466C2×C42—1731no—
467C2×C42C2×D17311yescharacteristic, complemented
468C24—1732no—
469C24C22×D17312yes—
470#41—3464no—
471#41—3464no—
472#41—6924no—
473C2×Q8—1731no—
474C2×Q8—1731no—
475C2×Q8—1732no—
476C2×D4—24no—
477C2×D4—3468no—
478C2×D4—3464no—
479C2×D4—1731no—
480C2×D4—1732no—
481C2×D4—1732no—
482C2×D4—1732no—
483C2×D4—1732no—
484C2×D4—1732no—
485C2×D4—1731no—
486C2×D4—1732no—
487C2×D4—1732no—
488C2×D4—1731no—
489C2×D4—1731no—
490C2×D4—1732no—
491C2×D4C22×D17312yes—
492C2×D4C22×D17311yescharacteristic
493C2×D4C22×D17311yescharacteristic
494C22×C4—44no—
495C22×C4—1732no—
496C22×C4—1732no—
497C22×C4—1731no—
498C22×C4—1731no—
499C22×C4—1731no—
500C22×C4—1731no—
501C22×C4—1731no—
502C22×C4—1731no—
503C22×C4—1732no—
504C22×C4—1732no—
505C22×C4—1732no—
506C22×C4—1732no—
507C22×C4—6924no—
508C22×C4C22×D17311yescharacteristic
509C22×C4C22×D17311yescharacteristic
510C22×C4C22×D17312yes—
511C22×C4C22×D17311yescharacteristic
512C22×C4C22×D17312yes—
513C22×C4C22×D17312yes—
514C22×C4C22×D17312yes—
515C22×C4C22×D17312yes—
516C4⋊C4—1731no—
517C4⋊C4—1732no—
518C4⋊C4—1731no—
519C4⋊C4—1732no—
520C4⋊C4—1732no—
521C4⋊C4—1732no—
522C4⋊C4—1731no—
523C4⋊C4—1731no—
524C4⋊C4—1732no—
525C4⋊C4—1731no—
526C4⋊C4—1731no—
527C4⋊C4—1731no—
528C4⋊C4—1732no—
529C4⋊C4—1731no—
530C4⋊C4—1732no—
531C4⋊C4—1732no—
532C4⋊C4—1732no—
533C4⋊C4—1732no—
534C4⋊C4C22×D17311yescharacteristic
535C4⋊C4C22×D17311yescharacteristic
536C4⋊C4C22×D17312yes—
537C22⋊C4—1731no—
538C22⋊C4—1732no—
539C22⋊C4—1732no—
540C22⋊C4—1732no—
541C22⋊C4—1732no—
542C22⋊C4—1731no—
543C22⋊C4—1732no—
544C22⋊C4—1732no—
545C22⋊C4—1732no—
546C22⋊C4—1731no—
547C22⋊C4—1732no—
548C22⋊C4—1732no—
549C22⋊C4—1732no—
550C22⋊C4—1732no—
551C22⋊C4—1732no—
552C22⋊C4—1731no—
553C22⋊C4—1732no—
554C22⋊C4—1731no—
555C22⋊C4—1731no—
556C22⋊C4—1732no—
557C22⋊C4—1732no—
558C22⋊C4C22×D17312yes—
559C22⋊C4C22×D17312yes—
560C22⋊C4C22×D17312yes—
561C22⋊C4C22×D17312yes—
562C42—1731no—
563C42—1732no—
564C42—1731no—
565C42—1731no—
566C42—1732no—
567C42—1731no—
568C42—1731no—
569C42—1732no—
570C42—1731no—
571C42C22×D17311yescharacteristic
572C42C22×D17311yescharacteristic
573C42C22×D17311yescharacteristic
574C42C22×D17311yescharacteristic
575C23—24no—
576C23—24no—
577C23—42no—
578C23—3464no—
579C23—3464no—
580C23—1732no—
581C23—1731no—
582C23—1731no—
583C23—6922no—
584C23C23×D17312yes—
585C23C23×D17311yescharacteristic
586C23C23×D17312yes—
587Q8—3462no—
588Q8—3462no—
589Q8—6922no—
590D4—24no—
591D4—22no—
592D4—3462no—
593D4—3464no—
594D4—3464no—
595D4—3462no—
596D4—3464no—
597D4—3464no—
598D4—3464no—
599D4—3462no—
600D4—1734no—
601D4—6922no—
602D4—6922no—
603D4—6922no—
604D4#1458382614yescomplemented
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—3462no—
614C2×C4—3462no—
615C2×C4—3464no—
616C2×C4—3464no—
617C2×C4—3462no—
618C2×C4—3462no—
619C2×C4—3462no—
620C2×C4—3464no—
621C2×C4—3462no—
622C2×C4—1731no—
623C2×C4—1731no—
624C2×C4—1732no—
625C2×C4—1732no—
626C2×C4—1731no—
627C2×C4—1731no—
628C2×C4—1731no—
629C2×C4—1732no—
630C2×C4—1731no—
631C2×C4—6922no—
632C2×C4—6922no—
633C2×C4—6922no—
634C2×C4C23×D17311yescharacteristic
635C2×C4C23×D17312yes—
636C2×C4C23×D17311yescharacteristic
637C2×C4C23×D17311yescharacteristic
638C2×C4C23×D17311yescharacteristic
639C2×C4C23×D17312yes—
640C2×C4C23×D17311yescharacteristic
641C2×C4C23×D17311yescharacteristic
642C22—22no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—48no—
650C22—3461no—
651C22—3461no—
652C22—3461no—
653C22—3462no—
654C22—3461no—
655C22—3462no—
656C22—3462no—
657C22—3461no—
658C22—1732no—
659C22—6928no—
660C22#41×D17312yes—
661C22C2×#1458382614yes—
662C22C24×D17311yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—3462no—
670C4—3461no—
671C4—3461no—
672C4—3461no—
673C4—3462no—
674C4—3461no—
675C4—3462no—
676C4—3461no—
677C4—1732no—
678C4C2×#1458382612yes—
679C4#1914972412yes—
680C2—22no—
681C2—24no—
682C2—42no—
683C2—3462no—
684C2—6921no—
685C2—6922no—
686C2C2×#41×D17311yescharacteristic
687C2C22×#1458382611yescharacteristic
688C2C2×#1914972411yescharacteristic
subgroupG/H
centerC2×C4C23×D173
commutator, socle, cosocleC22×C173C25
FrattiniC22C24×D173
FittingC2×C4×D4×C173C2
hypercenterC2×C4×D4D173
hypocenterC173#3481
LCSG ▷ C22×C173 ▷ C173
UCSC1 ◁ C2×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. #26012224C2semidirect
2. #26012200C2semidirect
3. #26012196C2semidirect
4. #26012191C2semidirect
5. #26012190C2semidirect
6. #26012189C2semidirect
7. #26012170C2semidirect
8. #26012167C2semidirect
9. #26012136C2semidirect
10. #26012135C2semidirect
11. #26012131C2semidirect
12. D4×C22⋊D173C2semidirect
13. #26012038C2semidirect
14. #26012025C2semidirect
15. #26012023C2semidirect
16. #26012021C2semidirect
17. #26012002C2semidirect
18. #26012000C2semidirect
19. C4×#14583826C2semidirect
20. C4×#14583825C2semidirect
21. C2×C4×C22⋊D173C2semidirect
22. C4×D4×D173C2semidirect
23. C2×C4×D4×C173C2semidirect
25. C2×#14583826C22semidirect
29. C22×C4×D173C22semidirect
30. #19149678C22semidirect
32. #19149674C22semidirect
33. #19149673C22semidirect
34. #19149672C22semidirect
35. #19149672C22semidirect
36. #19149671C22semidirect
37. #19149670C22semidirect
38. #19149669C22semidirect
39. #19149667C22semidirect
40. #19149666C22semidirect
41. #19149665C22semidirect
42. #19149665C22semidirect
43. #19149664C22semidirect
44. #19149663C22semidirect
45. #19149662C22semidirect
46. #19149662C22semidirect
47. #19149662C22semidirect
48. #19149661C22semidirect
49. #19149661C22semidirect
50. #19149660C22semidirect
51. #19149659C22semidirect
52. #19149658C22semidirect
53. #19149658C22semidirect
54. #19149658C22semidirect
55. #19149657C22semidirect
56. #19149656C22semidirect
57. #19149656C22semidirect
58. #19149654C22semidirect
60. #19149653C22semidirect
61. #19149653C22semidirect
62. #19149652C22semidirect
63. #19149652C22semidirect
65. #19149651C22semidirect
67. #19149650C22semidirect
68. #19149649C22semidirect
70. #19149648C22semidirect
72. C4×Dic346C22semidirect
73. C4×Dic346C22semidirect
74. C4×Dic346C22semidirect
75. #19149644C22semidirect
76. C4×D692C22semidirect
77. C4×D692C22semidirect
78. C4×D692C22semidirect
81. #19149641C22semidirect
85. C4×C22⋊D173C22semidirect
86. C4×C22⋊D173C22semidirect
87. C4×C22⋊D173C22semidirect
88. C4×C22⋊D173C22semidirect
89. C4×C22⋊D173C22semidirect
90. C4×C22⋊D173C22semidirect
91. C4×C22⋊D173C22semidirect
92. C4×C22⋊D173C22semidirect
93. C4×C22⋊D173C22semidirect
94. C4×C22⋊D173C22semidirect
95. #19149639C22semidirect
96. #19149639C22semidirect
97. #19149638C22semidirect
98. #19149638C22semidirect
99. #19149637C22semidirect
100. #19149636C22semidirect
101. #19149636C22semidirect
102. #19149636C22semidirect
103. #19149635C22semidirect
104. C2×#14583805C22semidirect
105. C4⋊C4×D173C22semidirect
106. C2×C22⋊Dic173C22semidirect
107. C2×#14583803C22semidirect
108. C22⋊C4×D173C22semidirect
109. C2×C4×Dic173C22semidirect
110. C42×D173C22semidirect
111. C42×D173C22semidirect
113. C23×C4×C173C22semidirect
116. C4×D4×C173C22semidirect
117. C4×D4×C173C22semidirect
118. C4×D4×C173C22semidirect
119. C4×D4×C173C22semidirect
120. C2×C4⋊C4×C173C22semidirect
121. C2×C22⋊C4×C173C22semidirect
122. C2×C42×C173C22semidirect
250. C22⋊D173#41semidirect
280. D4×C173#41semidirect
344. C173#3481semidirect
368. C2×C4×D4D173semidirect
376. C23×C4C2×D173semidirect
446. C4×D4C2×D173semidirect
447. C4×D4C2×D173semidirect
448. C4×D4C2×D173semidirect
449. C4×D4C2×D173semidirect
459. C2×C4⋊C4C2×D173semidirect
463. C2×C22⋊C4C2×D173semidirect
467. C2×C42C2×D173semidirect
604. D4#14583826semidirect

Maximal subgroups

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

subgroupindex
#260122242
#260122002
#260121962
#260121912
#260121902
#260121892
#260121702
#260121672
#260121362
#260121352
#260121312
D4×C22⋊D1732
#260120382
#260120252
#260120232
#260120212
#260120022
#260120002
C4×#145838262
C4×#145838252
C2×C4×C22⋊D1732
C4×D4×D1732
C2×C4×D4×C1732
#3481173