Finite Group Databasebeta

← #37547549

Subgroups — #37547549

Order 23168.

1152 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26041979C212yesmaximal, complemented
2#26041976C211yesmaximal, characteristic, complemented
3#26041974C212yesmaximal, complemented
4#26041973C211yesmaximal, characteristic, complemented
5#26041968C211yesmaximal, characteristic, complemented
6#26041963C211yesmaximal, characteristic, complemented
7#26041958C212yesmaximal, complemented
8#26041957C212yesmaximal, complemented
9#26041939C211yesmaximal, characteristic, complemented
10#26041936C211yesmaximal, characteristic, complemented
11#26041926C211yesmaximal, characteristic, complemented
12#26041917C211yesmaximal, characteristic, complemented
13#26041871C212yesmaximal, complemented
14#26041864C212yesmaximal, complemented
15#26041839C212yesmaximal, complemented
16#26041815C211yesmaximal, characteristic, complemented
17#26041810C211yesmaximal, characteristic, complemented
18#26041790C211yesmaximal, characteristic, complemented
19C22⋊Q8×D181C211yesmaximal, characteristic, complemented
20#121×D181C211yesmaximal, characteristic, complemented
21#26041751C212yesmaximal, complemented
22C2×C4×C22⋊D181C211yesmaximal, characteristic, complemented
23#525×C181C211yesmaximal, characteristic, complemented
24C2×#15668449C2211yescharacteristic, complemented
25C2×Q8×D181C2211yescharacteristic, complemented
26C22×C22⋊D181C2211yescharacteristic
27C2×D4×D181C2212yes—
28C2×D4×D181C2211yescharacteristic, complemented
29C22×C4×D181C2211yescharacteristic
30#19153811C2212yescomplemented
31#19153810C2212yescomplemented
32#19153809C2212yescomplemented
33#19153809C2212yescomplemented
34#19153809C2212yescomplemented
35#19153809C2212yescomplemented
36#19153808C2212yescomplemented
37#19153807C2211yescharacteristic, complemented
38#19153807C2211yescharacteristic, complemented
39#19153806C2212yescomplemented
40#19153805C2211yescharacteristic, complemented
41#19153803C2212yescomplemented
42#19153803C2211yescharacteristic, complemented
43#19153802C2212yescomplemented
44#19153800C2212yescomplemented
45#19153799C2212yescomplemented
46#19153799C2212yescomplemented
47#19153798C2212yes—
48#19153798C2212yes—
49#19153798C2212yescomplemented
50#19153798C2212yescomplemented
51#19153797C2212yescomplemented
52#19153797C2212yescomplemented
53#19153796C2211yescharacteristic, complemented
54#19153795C2212yescomplemented
55#19153795C2211yescharacteristic, complemented
56#19153795C2211yescharacteristic, complemented
57#19153794C2212yescomplemented
58#19153794C2212yescomplemented
59#19153793C2212yescomplemented
60#19153792C2211yescharacteristic, complemented
61#19153791C2211yescharacteristic, complemented
62#19153790C2211yescharacteristic
63#19153790C2211yescharacteristic, complemented
64#19153789C2212yescomplemented
65#19153789C2212yescomplemented
66#19153789C2212yescomplemented
67#19153788C2212yes—
68#19153788C2212yescomplemented
69#19153787C2212yescomplemented
70#19153787C2212yescomplemented
71#19153787C2211yescharacteristic, complemented
72#19153787C2212yescomplemented
73#19153785C2212yescomplemented
74#19153784C2212yes—
75#19153784C2212yes—
76Q8×Dic181C2211yescharacteristic, complemented
77#19153781C2211yescharacteristic, complemented
78C4×D724C2212yescomplemented
79D4×Dic181C2212yescomplemented
80D4×Dic181C2211yescharacteristic, complemented
81#19153778C2211yescharacteristic, complemented
82#19153778C2212yescomplemented
83C4×C22⋊D181C2211yescharacteristic
84C4×C22⋊D181C2211yescharacteristic
85C4×C22⋊D181C2211yescharacteristic
86C4×C22⋊D181C2211yescharacteristic
87C4×C22⋊D181C2212yescomplemented
88C4×C22⋊D181C2211yescharacteristic, complemented
89C4×C22⋊D181C2212yescomplemented
90C4×C22⋊D181C2211yescharacteristic, complemented
91C4×C22⋊D181C2212yescomplemented
92C4×C22⋊D181C2211yescharacteristic, complemented
93C4×C22⋊D181C2211yescharacteristic, complemented
94#19153776C2212yescomplemented
95#19153776C2212yescomplemented
96#19153775C2211yescharacteristic, complemented
97#19153774C2212yescomplemented
98#19153774C2212yescomplemented
99#19153773C2212yescomplemented
100#19153772C2212yescomplemented
101C2×#15668428C2211yescharacteristic, complemented
102C4⋊C4×D181C2211yescharacteristic, complemented
103C4⋊C4×D181C2211yescharacteristic, complemented
104C4⋊C4×D181C2212yescomplemented
105C2×C22⋊Dic181C2211yescharacteristic, complemented
106C2×#15668426C2211yescharacteristic
107C2×#15668426C2212yescomplemented
108C22⋊C4×D181C2212yes—
109C22⋊C4×D181C2212yescomplemented
110C22⋊C4×D181C2212yescomplemented
111C2×C4×Dic181C2211yescharacteristic, complemented
112C2×#41×C181C2211yescharacteristic, complemented
113C23×C4×C181C2211yescharacteristic, complemented
114#123×C181C2212yescomplemented
115C22⋊Q8×C181C2211yescharacteristic, complemented
116C22⋊Q8×C181C2211yescharacteristic, complemented
117#121×C181C2211yescharacteristic
118#121×C181C2211yescharacteristic, complemented
119#120×C181C2212yescomplemented
120C4×D4×C181C2212yescomplemented
121C4×D4×C181C2212yescomplemented
122#117×C181C2211yescharacteristic, complemented
123C23×D181C2312yes—
124C23×D181C2311yescharacteristic
125#15668449—42no—
126C2×Dic362C2311yescharacteristic
127C2×Dic362C2312yes—
128Q8×D181—42no—
129C2×D724C2312yes—
130C2×D724C2311yescharacteristic
131C2×C22⋊D181—24no—
132C2×C22⋊D181C2312yes—
133C2×C22⋊D181C2312yes—
134C2×C22⋊D181C2311yescharacteristic
135C2×C22⋊D181C2311yescharacteristic
136C2×C22⋊D181C2311yescharacteristic
137C2×C22⋊D181C2311yescharacteristic
138C2×C22⋊D181C2312yes—
139C2×C22⋊D181C2312yes—
140C2×C22⋊D181C2312yes—
141D4×D181—28no—
142D4×D181—42no—
143C22×Dic181C2311yescharacteristic
144C22×Dic181C2311yescharacteristic
145C22×Dic181C2312yes—
146C22×Dic181C2311yescharacteristic
147C2×C4×D181—42no—
148C2×C4×D181C2312yes—
149C2×C4×D181C2311yescharacteristic
150C2×C4×D181C2311yescharacteristic
151C2×C4×D181C2312yes—
152C2×C4×D181C2312yes—
153C2×C4×D181C2311yescharacteristic
154C2×C4×D181C2312yes—
155C2×C4×D181C2312yes—
156C2×C4×D181C2311yescharacteristic
157C4⋊Dic181C2311yescharacteristic
158C4⋊Dic181C2311yescharacteristic
159C4⋊Dic181C2312yes—
160C4⋊Dic181C2312yes—
161C4⋊Dic181C2312yes—
162C4⋊Dic181C2312yes—
163#15668428C2312yes—
164#15668428C2312yes—
165#15668428C2312yes—
166#15668428C2312yes—
167#15668428C2311yescharacteristic
168#15668428C2311yescharacteristic
169#15668428C2311yescharacteristic
170#15668428C2311yescharacteristic
171#15668428C2312yes—
172#15668428C2312yes—
173#15668428C2312yes—
174#15668428C2312yes—
175C22⋊Dic181C2312yes—
176C22⋊Dic181C2312yes—
177C22⋊Dic181C2312yes—
178C22⋊Dic181C2311yescharacteristic
179C22⋊Dic181C2311yescharacteristic
180C22⋊Dic181C2311yescharacteristic
181C22⋊Dic181C2311yescharacteristic
182C22⋊Dic181C2312yes—
183C22⋊Dic181C2312yes—
184C22⋊Dic181C2312yes—
185C22⋊Dic181C2312yes—
186#15668426C2312yes—
187#15668426C2312yes—
188#15668426C2311yescharacteristic
189#15668426C2312yes—
190#15668426C2312yes—
191#15668426C2311yescharacteristic
192#15668426C2311yescharacteristic
193#15668426C2311yescharacteristic
194#15668426C2312yes—
195#15668426C2312yes—
196#15668426C2312yes—
197#15668426C2312yes—
198C4×Dic181C2311yescharacteristic
199C4×Dic181C2311yescharacteristic
200C4×Dic181C2311yescharacteristic
201C4×Dic181C2311yescharacteristic
202C4×Dic181C2312yes—
203C4×Dic181C2312yes—
204C4×Dic181C2312yes—
205C24×C181C2311yescharacteristic
206#41×C181—42no—
207C2×Q8×C181C2311yescharacteristic
208C2×D4×C181C2312yes—
209C2×D4×C181C2311yescharacteristic
210C2×D4×C181C2312yes—
211C2×D4×C181C2312yes—
212C22×C4×C181—42no—
213C22×C4×C181C2311yescharacteristic
214C22×C4×C181C2311yescharacteristic
215C22×C4×C181C2311yescharacteristic
216C22×C4×C181C2311yescharacteristic
217C22×C4×C181C2311yescharacteristic
218C22×C4×C181C2312yes—
219C22×C4×C181C2311yescharacteristic
220C4⋊C4×C181C2311yescharacteristic
221C4⋊C4×C181C2311yescharacteristic
222C4⋊C4×C181C2312yes—
223C4⋊C4×C181C2312yes—
224C22⋊C4×C181C2312yes—
225C22⋊C4×C181C2312yes—
226C22⋊C4×C181C2312yes—
227C22⋊C4×C181C2312yes—
228C22⋊C4×C181C2312yes—
229C42×C181C2312yes—
230C22×D181—24no—
231C22×D181—41no—
232C22×D181—41no—
233C22×D181—42no—
234C22×D181—42no—
235C22×D181#4114yescomplemented
236C22×D181C2412yes—
237C22×D181C2411yescharacteristic
238C22×D181C2411yescharacteristic
239Dic362—22no—
240Dic362—42no—
241D724—24no—
242D724—22no—
243C22⋊D181—24no—
244C22⋊D181—24no—
245C22⋊D181—22no—
246C22⋊D181—22no—
247C22⋊D181—22no—
248C22⋊D181—22no—
249C22⋊D181—42no—
250C22⋊D181—42no—
251C22⋊D181—42no—
252C2×Dic181—22no—
253C2×Dic181—41no—
254C2×Dic181—41no—
255C2×Dic181—42no—
256C2×Dic181C2411yescharacteristic
257C2×Dic181C2411yescharacteristic
258C2×Dic181C2411yescharacteristic
259C2×Dic181C2411yescharacteristic
260C2×Dic181C2412yes—
261C2×Dic181C2412yes—
262C2×Dic181C2412yes—
263C2×Dic181C2411yescharacteristic
264C2×Dic181C2411yescharacteristic
265C4×D181—24no—
266C4×D181—22no—
267C4×D181—22no—
268C4×D181—41no—
269C4×D181—41no—
270C4×D181—42no—
271C4×D181—42no—
272C4×D181—42no—
273C4×D181—42no—
274C23×C181—22no—
275C23×C181—41no—
276C23×C181—41no—
277C23×C181C2411yescharacteristic
278C23×C181C2411yescharacteristic
279C23×C181C2412yes—
280C23×C181C2411yescharacteristic
281Q8×C181—22no—
282D4×C181—24no—
283D4×C181—22no—
284D4×C181—42no—
285D4×C181—42no—
286C2×C4×C181—22no—
287C2×C4×C181—22no—
288C2×C4×C181—22no—
289C2×C4×C181—41no—
290C2×C4×C181—41no—
291C2×C4×C181—41no—
292C2×C4×C181—42no—
293C2×C4×C181C2411yescharacteristic
294C2×C4×C181C2412yes—
295C2×C4×C181C2412yes—
296C2×C4×C181C2411yescharacteristic
297C2×C4×C181C2411yescharacteristic
298C2×C4×C181C2412yes—
299C2×C4×C181C2411yescharacteristic
300C22×C181—21no—
301C22×C181—21no—
302C22×C181—22no—
303C22×C181—21no—
304C22×C181—21no—
305C22×C181—21no—
306C22×C181—21no—
307C22×C181—22no—
308C22×C181—21no—
309C22×C181—22no—
310C22×C181—21no—
311C22×C181—44no—
312C22×C181C2×#4112yes—
313C22×C181C2511yescharacteristic
314C2×D181—21no—
315C2×D181—21no—
316C2×D181—21no—
317C2×D181—21no—
318C2×D181—22no—
319C2×D181—22no—
320C2×D181—22no—
321C2×D181—44no—
322C2×D181—84no—
323C2×D181C2×#4112yes—
324C2×D181C2×#4112yes—
325C4×C181—22no—
326C4×C181—21no—
327C4×C181—21no—
328C4×C181—21no—
329C4×C181—22no—
330C4×C181—22no—
331C4×C181H(5,𝔽2)12yes—
332Dic181—22no—
333Dic181—21no—
334Dic181—21no—
335Dic181—21no—
336Dic181—21no—
337Dic181—22no—
338Dic181—21no—
339Dic181—22no—
340Dic181—21no—
341C2×C181—22no—
342C2×C181—42no—
343C2×C181—41no—
344C2×C181—41no—
345C2×C181C22×#4111yescharacteristic
346C2×C181C2×H(5,𝔽2)11yescharacteristic
347C2×C181#58511yescharacteristic
348D181—22no—
349D181—22no—
350D181—42no—
351C181#350511yescharacteristic, complemented, Sylow
352#3505—1811nomaximal, Sylow
353#553—1812no—
354#553—1811no—
355#553—1812no—
356#553—1811no—
357#552—1811no—
358#552—1811no—
359#551—1812no—
360#551—1812no—
361#548—1811no—
362#548—1811no—
363#546—1811no—
364#546—1811no—
365#539—1812no—
366#538—1812no—
367#534—1812no—
368#529—1811no—
369#529—1811no—
370#525—1811no—
371#525D18111yescharacteristic, complemented
372C2×C22⋊Q8—1811no—
373C2×#121—1811no—
374#518—1812no—
375C2×C4×D4—1811no—
376C2×#41—1811no—
377C2×#41C2×D18111yescharacteristic, complemented
378C22×Q8—1811no—
379C22×D4—1811no—
380C22×D4—1812no—
381C22×D4—1811no—
382C23×C4—1811no—
383C23×C4C2×D18111yescharacteristic, complemented
384#126—1812no—
385#126—1812no—
386#126—1812no—
387#126—1812no—
388#126—1812no—
389#126—1812no—
390#125—1811no—
391#125—1811no—
392#125—1812no—
393#125—1812no—
394#124—1811no—
395#124—1811no—
396#124—1812no—
397#124—1812no—
398#123—1812no—
399#123—1812no—
400#123—1812no—
401#123—1812no—
402#123—1812no—
403#123—1812no—
404#123—1812no—
405#123—1812no—
406#123—1812no—
407#123C2×D18112yescomplemented
408C22⋊Q8—1811no—
409C22⋊Q8—1811no—
410C22⋊Q8—1811no—
411C22⋊Q8—1812no—
412C22⋊Q8—1811no—
413C22⋊Q8—1812no—
414C22⋊Q8—1812no—
415C22⋊Q8—1812no—
416C22⋊Q8C2×D18111yescharacteristic, complemented
417C22⋊Q8C2×D18111yescharacteristic, complemented
418#121—1812no—
419#121—1811no—
420#121—1812no—
421#121—1812no—
422#121—1812no—
423#121—1812no—
424#121—1811no—
425#121—1811no—
426#121—1811no—
427#121—1812no—
428#121—1812no—
429#121—1812no—
430#121C2×D18111yescharacteristic
431#121C2×D18111yescharacteristic, complemented
432#120—1812no—
433#120—1812no—
434#120—1812no—
435#120C2×D18112yescomplemented
436C4×Q8—1811no—
437C4×Q8—1811no—
438C4×D4—1812no—
439C4×D4—1811no—
440C4×D4—1811no—
441C4×D4—1811no—
442C4×D4—1811no—
443C4×D4—1811no—
444C4×D4—1811no—
445C4×D4—1811no—
446C4×D4—1811no—
447C4×D4—1811no—
448C4×D4—1812no—
449C4×D4—1812no—
450C4×D4—1812no—
451C4×D4—1812no—
452C4×D4—1811no—
453C4×D4—1812no—
454C4×D4—1812no—
455C4×D4—1812no—
456C4×D4C2×D18112yescomplemented
457C4×D4C2×D18112yescomplemented
458#117—1811no—
459#117—1812no—
460#117—1812no—
461#117—1812no—
462#117—1812no—
463#117C2×D18111yescharacteristic, complemented
464C2×C4⋊C4—1811no—
465C2×C4⋊C4—1811no—
466C2×C4⋊C4—1811no—
467C2×C4⋊C4—1812no—
468C2×C22⋊C4—1811no—
469C2×C22⋊C4—1811no—
470C2×C22⋊C4—1812no—
471C2×C22⋊C4—1812no—
472C2×C22⋊C4—1812no—
473C2×C22⋊C4—1812no—
474C2×C42—1811no—
475C24—1812no—
476C24—1811no—
477C24C22×D18111yescharacteristic
478#41—42no—
479#41—7242no—
480C2×Q8—1811no—
481C2×Q8—1812no—
482C2×Q8—7242no—
483C2×Q8C22×D18111yescharacteristic
484C2×D4—3628no—
485C2×D4—3624no—
486C2×D4—1811no—
487C2×D4—1811no—
488C2×D4—1812no—
489C2×D4—1812no—
490C2×D4—1811no—
491C2×D4—1811no—
492C2×D4—1812no—
493C2×D4—1812no—
494C2×D4—1812no—
495C2×D4—1812no—
496C2×D4—1811no—
497C2×D4—7242no—
498C2×D4C22×D18112yes—
499C2×D4C22×D18111yescharacteristic
500C2×D4C22×D18112yes—
501C2×D4C22×D18112yes—
502C22×C4—42no—
503C22×C4—1811no—
504C22×C4—1812no—
505C22×C4—1811no—
506C22×C4—1811no—
507C22×C4—1811no—
508C22×C4—1811no—
509C22×C4—1812no—
510C22×C4—1811no—
511C22×C4—1812no—
512C22×C4—1812no—
513C22×C4—1812no—
514C22×C4—1812no—
515C22×C4—1811no—
516C22×C4—7242no—
517C22×C4C22×D18111yescharacteristic
518C22×C4C22×D18111yescharacteristic
519C22×C4C22×D18111yescharacteristic
520C22×C4C22×D18111yescharacteristic
521C22×C4C22×D18112yes—
522C22×C4C22×D18111yescharacteristic
523C22×C4C22×D18111yescharacteristic
524C4⋊C4—1811no—
525C4⋊C4—1812no—
526C4⋊C4—1811no—
527C4⋊C4—1811no—
528C4⋊C4—1811no—
529C4⋊C4—1811no—
530C4⋊C4—1811no—
531C4⋊C4—1812no—
532C4⋊C4—1812no—
533C4⋊C4—1812no—
534C4⋊C4—1812no—
535C4⋊C4—1812no—
536C4⋊C4—1812no—
537C4⋊C4—1812no—
538C4⋊C4—1812no—
539C4⋊C4—1812no—
540C4⋊C4—1812no—
541C4⋊C4—1812no—
542C4⋊C4C22×D18112yes—
543C4⋊C4C22×D18111yescharacteristic
544C4⋊C4C22×D18111yescharacteristic
545C4⋊C4C22×D18112yes—
546C22⋊C4—1812no—
547C22⋊C4—1811no—
548C22⋊C4—1811no—
549C22⋊C4—1812no—
550C22⋊C4—1811no—
551C22⋊C4—1811no—
552C22⋊C4—1812no—
553C22⋊C4—1812no—
554C22⋊C4—1812no—
555C22⋊C4—1812no—
556C22⋊C4—1812no—
557C22⋊C4—1811no—
558C22⋊C4—1811no—
559C22⋊C4—1812no—
560C22⋊C4—1812no—
561C22⋊C4—1812no—
562C22⋊C4—1811no—
563C22⋊C4—1811no—
564C22⋊C4—1812no—
565C22⋊C4—1812no—
566C22⋊C4—1812no—
567C22⋊C4—1812no—
568C22⋊C4—1812no—
569C22⋊C4C22×D18112yes—
570C22⋊C4C22×D18112yes—
571C22⋊C4C22×D18112yes—
572C22⋊C4C22×D18112yes—
573C22⋊C4C22×D18112yes—
574C42—1811no—
575C42—1811no—
576C42—1811no—
577C42—1811no—
578C42—1812no—
579C42—1812no—
580C42—1812no—
581C42C22×D18112yes—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—3624no—
586C23—1812no—
587C23—1811no—
588C23—1811no—
589C23—1814no—
590C23—7242no—
591C23—7242no—
592C23—7241no—
593C23—7241no—
594C23C23×D18112yes—
595C23C23×D18111yescharacteristic
596C23C23×D18111yescharacteristic
597C23C23×D18111yescharacteristic
598Q8—22no—
599Q8—3622no—
600Q8—7242no—
601D4—24no—
602D4—22no—
603D4—42no—
604D4—42no—
605D4—3624no—
606D4—3624no—
607D4—3622no—
608D4—3622no—
609D4—3622no—
610D4—3622no—
611D4—3624no—
612D4—3622no—
613D4—7242no—
614D4—7242no—
615D4—7242no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—3624no—
624C2×C4—3622no—
625C2×C4—3622no—
626C2×C4—3622no—
627C2×C4—1811no—
628C2×C4—1811no—
629C2×C4—1811no—
630C2×C4—1811no—
631C2×C4—1812no—
632C2×C4—1812no—
633C2×C4—1812no—
634C2×C4—1811no—
635C2×C4—1811no—
636C2×C4—7241no—
637C2×C4—7241no—
638C2×C4—7242no—
639C2×C4—7242no—
640C2×C4—7242no—
641C2×C4—7242no—
642C2×C4—7241no—
643C2×C4—7241no—
644C2×C4—7242no—
645C2×C4C23×D18111yescharacteristic
646C2×C4C23×D18111yescharacteristic
647C2×C4C23×D18112yes—
648C2×C4C23×D18112yes—
649C2×C4C23×D18111yescharacteristic
650C2×C4C23×D18112yes—
651C2×C4C23×D18111yescharacteristic
652C22—21no—
653C22—21no—
654C22—22no—
655C22—21no—
656C22—21no—
657C22—22no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—44no—
664C22—3621no—
665C22—3621no—
666C22—3621no—
667C22—3621no—
668C22—3622no—
669C22—3622no—
670C22—3622no—
671C22—14484no—
672C22—1812no—
673C22—1812no—
674C22—7244no—
675C22#41×D18112yes—
676C22C24×D18111yescharacteristic
677C4—22no—
678C4—22no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—22no—
683C4—3621no—
684C4—3621no—
685C4—3622no—
686C4—3622no—
687C4—3621no—
688C4—3621no—
689C4—3621no—
690C4—3621no—
691C4—3622no—
692C4#1915386112yes—
693C2—22no—
694C2—41no—
695C2—41no—
696C2—42no—
697C2—3622no—
698C2—3622no—
699C2—7242no—
700C2C2×#41×D18111yescharacteristic
701C2C2×#1915386111yescharacteristic
702C2#2604211511yescharacteristic
subgroupG/H
center, FrattiniC22C24×D181
commutator, socle, cosocleC22×C181C25
Fitting#525×C181C2
hypercenter#525D181
hypocenterC181#3505
LCSG ▷ C22×C181 ▷ C181
UCSC1 ◁ C22 ◁ #525

Complements

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

NH ≅ G/Ntype
1. #26041979C2semidirect
2. #26041976C2semidirect
3. #26041974C2semidirect
4. #26041973C2semidirect
5. #26041968C2semidirect
6. #26041963C2semidirect
7. #26041958C2semidirect
8. #26041957C2semidirect
9. #26041939C2semidirect
10. #26041936C2semidirect
11. #26041926C2semidirect
12. #26041917C2semidirect
13. #26041871C2semidirect
14. #26041864C2semidirect
15. #26041839C2semidirect
16. #26041815C2semidirect
17. #26041810C2semidirect
18. #26041790C2semidirect
19. C22⋊Q8×D181C2semidirect
20. #121×D181C2semidirect
21. #26041751C2semidirect
22. C2×C4×C22⋊D181C2semidirect
23. #525×C181C2semidirect
24. C2×#15668449C22semidirect
25. C2×Q8×D181C22semidirect
28. C2×D4×D181C22semidirect
30. #19153811C22semidirect
31. #19153810C22semidirect
32. #19153809C22semidirect
33. #19153809C22semidirect
34. #19153809C22semidirect
35. #19153809C22semidirect
36. #19153808C22semidirect
37. #19153807C22semidirect
38. #19153807C22semidirect
39. #19153806C22semidirect
40. #19153805C22semidirect
41. #19153803C22semidirect
42. #19153803C22semidirect
43. #19153802C22semidirect
44. #19153800C22semidirect
45. #19153799C22semidirect
46. #19153799C22semidirect
49. #19153798C22semidirect
50. #19153798C22semidirect
51. #19153797C22semidirect
52. #19153797C22semidirect
53. #19153796C22semidirect
54. #19153795C22semidirect
55. #19153795C22semidirect
56. #19153795C22semidirect
57. #19153794C22semidirect
58. #19153794C22semidirect
59. #19153793C22semidirect
60. #19153792C22semidirect
61. #19153791C22semidirect
63. #19153790C22semidirect
64. #19153789C22semidirect
65. #19153789C22semidirect
66. #19153789C22semidirect
68. #19153788C22semidirect
69. #19153787C22semidirect
70. #19153787C22semidirect
71. #19153787C22semidirect
72. #19153787C22semidirect
73. #19153785C22semidirect
76. Q8×Dic181C22semidirect
77. #19153781C22semidirect
78. C4×D724C22semidirect
79. D4×Dic181C22semidirect
80. D4×Dic181C22semidirect
81. #19153778C22semidirect
82. #19153778C22semidirect
87. C4×C22⋊D181C22semidirect
88. C4×C22⋊D181C22semidirect
89. C4×C22⋊D181C22semidirect
90. C4×C22⋊D181C22semidirect
91. C4×C22⋊D181C22semidirect
92. C4×C22⋊D181C22semidirect
93. C4×C22⋊D181C22semidirect
94. #19153776C22semidirect
95. #19153776C22semidirect
96. #19153775C22semidirect
97. #19153774C22semidirect
98. #19153774C22semidirect
99. #19153773C22semidirect
100. #19153772C22semidirect
101. C2×#15668428C22semidirect
102. C4⋊C4×D181C22semidirect
103. C4⋊C4×D181C22semidirect
104. C4⋊C4×D181C22semidirect
105. C2×C22⋊Dic181C22semidirect
107. C2×#15668426C22semidirect
109. C22⋊C4×D181C22semidirect
110. C22⋊C4×D181C22semidirect
111. C2×C4×Dic181C22semidirect
112. C2×#41×C181C22semidirect
113. C23×C4×C181C22semidirect
114. #123×C181C22semidirect
115. C22⋊Q8×C181C22semidirect
116. C22⋊Q8×C181C22semidirect
118. #121×C181C22semidirect
119. #120×C181C22semidirect
120. C4×D4×C181C22semidirect
121. C4×D4×C181C22semidirect
122. #117×C181C22semidirect
235. C22×D181#41semidirect
351. C181#3505semidirect
371. #525D181semidirect
377. C2×#41C2×D181semidirect
383. C23×C4C2×D181semidirect
407. #123C2×D181semidirect
416. C22⋊Q8C2×D181semidirect
417. C22⋊Q8C2×D181semidirect
431. #121C2×D181semidirect
435. #120C2×D181semidirect
456. C4×D4C2×D181semidirect
457. C4×D4C2×D181semidirect
463. #117C2×D181semidirect

Maximal subgroups

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

subgroupindex
#260419792
#260419762
#260419742
#260419732
#260419682
#260419632
#260419582
#260419572
#260419392
#260419362
#260419262
#260419172
#260418712
#260418642
#260418392
#260418152
#260418102
#260417902
C22⋊Q8×D1812
#121×D1812
#260417512
C2×C4×C22⋊D1812
#525×C1812
#3505181