Finite Group Databasebeta

← #37547743

Subgroups — #37547743

Order 23168.

1252 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26041992C211yesmaximal, characteristic, complemented
2#26041988C211yesmaximal, characteristic, complemented
3#26041979C211yesmaximal, characteristic, complemented
4#26041978C212yesmaximal, complemented
5#26041973C211yesmaximal, characteristic, complemented
6#26041950C211yesmaximal, characteristic, complemented
7#26041925C212yesmaximal, complemented
8#26041919C212yesmaximal, complemented
9#26041919C212yesmaximal, complemented
10D4×D724C211yesmaximal, characteristic, complemented
11D4×C22⋊D181C211yesmaximal, characteristic, complemented
12D4×C22⋊D181C211yesmaximal, characteristic, complemented
13#26041884C211yesmaximal, characteristic, complemented
14#26041880C211yesmaximal, characteristic, complemented
15#26041867C212yesmaximal, complemented
16#26041862C212yesmaximal, complemented
17#26041826C211yesmaximal, characteristic, complemented
18#26041807C211yesmaximal, characteristic, complemented
19#26041788C212yesmaximal, complemented
20C2×#19153789C212yesmaximal, complemented
21#26041751C211yesmaximal, characteristic, complemented
22C4×D4×D181C211yesmaximal, characteristic, complemented
23#518×C181C211yesmaximal, characteristic, complemented
24C2×#15668449C2212yescomplemented
25C2×#15668449C2212yescomplemented
26C22×D724C2212yescomplemented
27C22×C22⋊D181C2212yescomplemented
28C22×C22⋊D181C2212yescomplemented
29C2×D4×D181C2211yescharacteristic
30C2×D4×D181C2211yescharacteristic
31C22×C4×D181C2212yescomplemented
32#19153815C2211yescharacteristic, complemented
33#19153813C2211yescharacteristic, complemented
34#19153812C2211yescharacteristic, complemented
35#19153812C2211yescharacteristic, complemented
36#19153811C2211yescharacteristic, complemented
37#19153810C2212yescomplemented
38#19153809C2211yescharacteristic, complemented
39#19153809C2212yescomplemented
40#19153808C2211yescharacteristic, complemented
41#19153807C2211yescharacteristic, complemented
42#19153806C2211yescharacteristic, complemented
43#19153804C2212yescomplemented
44#19153802C2212yescomplemented
45#19153802C2212yescomplemented
46#19153802C2211yescharacteristic, complemented
47#19153801C2212yescomplemented
48#19153801C2212yescomplemented
49#19153801C2211yescharacteristic, complemented
50#19153799C2212yescomplemented
51#19153799C2212yescomplemented
52#19153798C2212yescomplemented
53#19153798C2212yescomplemented
54#19153798C2211yescharacteristic, complemented
55#19153795C2212yescomplemented
56#19153794C2211yescharacteristic, complemented
57#19153793C2212yescomplemented
58#19153793C2212yescomplemented
59#19153791C2211yescharacteristic, complemented
60#19153791C2211yescharacteristic, complemented
61#19153790C2212yescomplemented
62#19153790C2212yescomplemented
63#19153790C2212yescomplemented
64#19153790C2211yescharacteristic, complemented
65#19153790C2211yescharacteristic, complemented
66#19153789C2211yescharacteristic
67#19153789C2212yescomplemented
68#19153789C2212yescomplemented
69#19153789C2212yescomplemented
70#19153789C2212yescomplemented
71#19153789C2212yescomplemented
72#19153789C2212yescomplemented
73#19153789C2212yescomplemented
74#19153789C2212yescomplemented
75#19153789C2212yescomplemented
76#19153788C2212yescomplemented
77#19153788C2212yescomplemented
78#19153787C2211yescharacteristic, complemented
79#19153787C2211yescharacteristic, complemented
80#19153786C2212yescomplemented
81#19153786C2212yescomplemented
82#19153785C2212yescomplemented
83#19153785C2212yescomplemented
84#19153784C2212yescomplemented
85#19153784C2212yescomplemented
86C4×Dic362C2211yescharacteristic, complemented
87C4×D724C2211yescharacteristic, complemented
88C4×D724C2211yescharacteristic, complemented
89C4×D724C2211yescharacteristic, complemented
90C4×D724C2212yescomplemented
91D4×Dic181C2211yescharacteristic
92D4×Dic181C2211yescharacteristic
93#19153778C2211yescharacteristic, complemented
94#19153778C2211yescharacteristic, complemented
95C4×C22⋊D181C2212yescomplemented
96C4×C22⋊D181C2212yescomplemented
97C4×C22⋊D181C2211yescharacteristic, complemented
98C4×C22⋊D181C2211yescharacteristic, complemented
99C4×C22⋊D181C2212yescomplemented
100C4×C22⋊D181C2212yescomplemented
101#19153776C2212yescomplemented
102#19153776C2212yescomplemented
103#19153774C2211yescharacteristic, complemented
104#19153773C2211yescharacteristic, complemented
105#19153773C2212yescomplemented
106C2×#15668428C2212yescomplemented
107C4⋊C4×D181C2211yescharacteristic, complemented
108C2×#15668426C2212yescomplemented
109C22⋊C4×D181C2212yescomplemented
110C22⋊C4×D181C2212yescomplemented
111C42×D181C2211yescharacteristic, complemented
112C22×D4×C181C2211yescharacteristic
113C4×D4×C181C2211yescharacteristic
114C4×D4×C181C2211yescharacteristic
115C4×D4×C181C2212yescomplemented
116C4×D4×C181C2211yescharacteristic, complemented
117C4×D4×C181C2212yescomplemented
118C4×D4×C181C2211yescharacteristic, complemented
119#117×C181C2211yescharacteristic, complemented
120#117×C181C2211yescharacteristic, complemented
121C2×C22⋊C4×C181C2212yescomplemented
122C2×C22⋊C4×C181C2212yescomplemented
123C23×D181C2312yes—
124C23×D181C2312yes—
125#15668449—44no—
126#15668449—44no—
127C2×Dic362C2311yescharacteristic
128C2×Dic362C2312yes—
129C2×D724—44no—
130C2×D724C2311yescharacteristic
131C2×D724C2311yescharacteristic
132C2×D724C2312yes—
133C2×D724C2311yescharacteristic
134C2×D724C2312yes—
135C2×D724C2312yes—
136C2×D724C2312yes—
137C2×C22⋊D181—44no—
138C2×C22⋊D181—44no—
139C2×C22⋊D181C2312yes—
140C2×C22⋊D181C2312yes—
141C2×C22⋊D181C2312yes—
142C2×C22⋊D181C2312yes—
143C2×C22⋊D181C2311yescharacteristic
144C2×C22⋊D181C2311yescharacteristic
145C2×C22⋊D181C2312yes—
146C2×C22⋊D181C2312yes—
147C2×C22⋊D181C2312yes—
148C2×C22⋊D181C2312yes—
149C2×C22⋊D181C2312yes—
150C2×C22⋊D181C2312yes—
151D4×D181—24no—
152D4×D181—24no—
153C22×Dic181C2312yes—
154C22×Dic181C2312yes—
155C2×C4×D181—44no—
156C2×C4×D181C2311yescharacteristic
157C2×C4×D181C2311yescharacteristic
158C2×C4×D181C2311yescharacteristic
159C2×C4×D181C2311yescharacteristic
160C2×C4×D181C2312yes—
161C2×C4×D181C2312yes—
162C2×C4×D181C2312yes—
163C2×C4×D181C2312yes—
164C2×C4×D181C2312yes—
165C4⋊Dic181C2311yescharacteristic
166C4⋊Dic181C2311yescharacteristic
167C4⋊Dic181C2311yescharacteristic
168C4⋊Dic181C2312yes—
169C4⋊Dic181C2311yescharacteristic
170#15668428C2312yes—
171#15668428C2311yescharacteristic
172#15668428C2312yes—
173#15668428C2312yes—
174#15668428C2312yes—
175#15668428C2311yescharacteristic
176#15668428C2311yescharacteristic
177#15668428C2311yescharacteristic
178#15668428C2311yescharacteristic
179#15668428C2312yes—
180#15668428C2311yescharacteristic
181C22⋊Dic181C2312yes—
182C22⋊Dic181C2312yes—
183C22⋊Dic181C2311yescharacteristic
184C22⋊Dic181C2311yescharacteristic
185C22⋊Dic181C2312yes—
186C22⋊Dic181C2312yes—
187#15668426C2311yescharacteristic
188#15668426C2312yes—
189#15668426C2312yes—
190#15668426C2312yes—
191#15668426C2311yescharacteristic
192#15668426C2312yes—
193#15668426C2312yes—
194#15668426C2312yes—
195#15668426C2312yes—
196#15668426C2311yescharacteristic
197#15668426C2311yescharacteristic
198#15668426C2311yescharacteristic
199#15668426C2312yes—
200#15668426C2312yes—
201#15668426C2311yescharacteristic
202C4×Dic181C2311yescharacteristic
203C4×Dic181C2311yescharacteristic
204C4×Dic181C2311yescharacteristic
205C4×Dic181C2312yes—
206C4×Dic181C2311yescharacteristic
207C24×C181C2312yes—
208C2×D4×C181—24no—
209C2×D4×C181C2312yes—
210C2×D4×C181C2311yescharacteristic
211C2×D4×C181C2311yescharacteristic
212C22×C4×C181C2311yescharacteristic
213C22×C4×C181C2312yes—
214C22×C4×C181C2312yes—
215C22×C4×C181C2312yes—
216C22×C4×C181C2312yes—
217C4⋊C4×C181C2311yescharacteristic
218C4⋊C4×C181C2311yescharacteristic
219C4⋊C4×C181C2311yescharacteristic
220C4⋊C4×C181C2311yescharacteristic
221C22⋊C4×C181C2311yescharacteristic
222C22⋊C4×C181C2312yes—
223C22⋊C4×C181C2311yescharacteristic
224C22⋊C4×C181C2312yes—
225C22⋊C4×C181C2312yes—
226C22⋊C4×C181C2312yes—
227C22⋊C4×C181C2312yes—
228C42×C181C2311yescharacteristic
229C42×C181C2311yescharacteristic
230C42×C181C2312yes—
231C22×D181—24no—
232C22×D181—24no—
233C22×D181—24no—
234C22×D181—42no—
235C22×D181—42no—
236C22×D181—42no—
237C22×D181C2411yescharacteristic
238C22×D181C2412yes—
239C22×D181C2412yes—
240C22×D181C2411yescharacteristic
241Dic362—22no—
242Dic362—42no—
243D724—22no—
244D724—24no—
245D724—22no—
246D724—22no—
247D724—42no—
248D724—42no—
249D724—42no—
250C22⋊D181—24no—
251C22⋊D181—24no—
252C22⋊D181—22no—
253C22⋊D181—24no—
254C22⋊D181—22no—
255C22⋊D181—24no—
256C22⋊D181—42no—
257C22⋊D181—42no—
258C22⋊D181—42no—
259C22⋊D181—42no—
260C22⋊D181—42no—
261C22⋊D181—42no—
262C2×Dic181—24no—
263C2×Dic181—42no—
264C2×Dic181C2411yescharacteristic
265C2×Dic181C2411yescharacteristic
266C2×Dic181C2411yescharacteristic
267C2×Dic181C2412yes—
268C2×Dic181C2411yescharacteristic
269C2×Dic181C2411yescharacteristic
270C2×Dic181C2412yes—
271C2×Dic181C2411yescharacteristic
272C4×D181—22no—
273C4×D181—22no—
274C4×D181—22no—
275C4×D181—22no—
276C4×D181—24no—
277C4×D181—42no—
278C4×D181—42no—
279C4×D181—42no—
280C4×D181—42no—
281C23×C181—24no—
282C23×C181—42no—
283C23×C181—42no—
284C23×C181C2411yescharacteristic
285C23×C181C2412yes—
286C23×C181C2412yes—
287D4×C181—24no—
288D4×C181—22no—
289D4×C181#4114yescomplemented
290C2×C4×C181—22no—
291C2×C4×C181—42no—
292C2×C4×C181—42no—
293C2×C4×C181—42no—
294C2×C4×C181—42no—
295C2×C4×C181C2411yescharacteristic
296C2×C4×C181C2411yescharacteristic
297C2×C4×C181C2411yescharacteristic
298C2×C4×C181C2412yes—
299C2×C4×C181C2412yes—
300C2×C4×C181C2411yescharacteristic
301C2×C4×C181C2411yescharacteristic
302C2×C4×C181C2411yescharacteristic
303C22×C181—22no—
304C22×C181—22no—
305C22×C181—21no—
306C22×C181—22no—
307C22×C181—22no—
308C22×C181—22no—
309C22×C181—21no—
310C22×C181—21no—
311C22×C181—84no—
312C22×C181C2×#4114yes—
313C22×C181C2511yescharacteristic
314C2×D181—21no—
315C2×D181—21no—
316C2×D181—21no—
317C2×D181—22no—
318C2×D181—22no—
319C2×D181—22no—
320C2×D181—22no—
321C2×D181—22no—
322C2×D181—21no—
323C2×D181—22no—
324C2×D181—21no—
325C2×D181—48no—
326C2×D181—84no—
327C2×D181H(5,𝔽2)12yes—
328C4×C181—21no—
329C4×C181—21no—
330C4×C181—21no—
331C4×C181—22no—
332C4×C181—21no—
333C4×C181—22no—
334C4×C181—21no—
335C4×C181C2×#4112yes—
336Dic181—21no—
337Dic181—21no—
338Dic181—21no—
339Dic181—22no—
340Dic181—21no—
341Dic181—22no—
342Dic181—21no—
343Dic181H(5,𝔽2)12yes—
344C2×C181—24no—
345C2×C181—42no—
346C2×C181—41no—
347C2×C181C22×#4111yescharacteristic
348C2×C181C2×H(5,𝔽2)11yescharacteristic
349C2×C181C2×H(5,𝔽2)11yescharacteristic
350D181—22no—
351D181—42no—
352D181—42no—
353D181—41no—
354C181#351911yescharacteristic, complemented, Sylow
355#3519—1811nomaximal, Sylow
356#555—1811no—
357#554—1811no—
358#553—1812no—
359#553—1811no—
360#553—1811no—
361#550—1811no—
362#546—1812no—
363#546—1812no—
364#546—1812no—
365D42—1811no—
366D42—1811no—
367D42—1811no—
368#540—1811no—
369#540—1811no—
370#538—1812no—
371#538—1812no—
372#532—1811no—
373#529—1811no—
374#525—1812no—
375C2×#121—1812no—
376#518—1811no—
377#518D18111yescharacteristic, complemented
378C2×C4×D4—1811no—
379C2×#41—1812no—
380C2×#41—1812no—
381C22×D4—1811no—
382C22×D4—1811no—
383C22×D4—1812no—
384C22×D4—1812no—
385C22×D4—1812no—
386C22×D4C2×D18111yescharacteristic
387C23×C4—1812no—
388C4⋊Q8—1811no—
389#127—1811no—
390#127—1811no—
391#127—1811no—
392#126—1811no—
393#126—1811no—
394#126—1812no—
395#126—1812no—
396#125—1811no—
397#125—1811no—
398#125—1811no—
399#124—1811no—
400#124—1812no—
401#124—1812no—
402#124—1812no—
403#123—1812no—
404#123—1812no—
405#123—1812no—
406#123—1811no—
407#123—1812no—
408#123—1812no—
409#123—1811no—
410#123—1812no—
411C22⋊Q8—1812no—
412C22⋊Q8—1811no—
413C22⋊Q8—1812no—
414C22⋊Q8—1812no—
415#121—1812no—
416#121—1811no—
417#121—1812no—
418#121—1811no—
419#121—1812no—
420#121—1812no—
421#121—1811no—
422#121—1811no—
423#121—1812no—
424#121—1811no—
425#121—1811no—
426#121—1811no—
427#121—1812no—
428#121—1812no—
429#121—1812no—
430#121—1812no—
431#121—1812no—
432#121—1812no—
433#121—1812no—
434#121—1812no—
435#121—1812no—
436#120—1812no—
437#120—1812no—
438#120—1812no—
439#120—1812no—
440#120—1812no—
441#120—1812no—
442C4×Q8—1811no—
443C4×D4—1811no—
444C4×D4—1811no—
445C4×D4—1812no—
446C4×D4—1812no—
447C4×D4—1812no—
448C4×D4—1811no—
449C4×D4—1811no—
450C4×D4—1812no—
451C4×D4—1811no—
452C4×D4—1811no—
453C4×D4—1812no—
454C4×D4—1812no—
455C4×D4—1811no—
456C4×D4—1811no—
457C4×D4—1812no—
458C4×D4—1811no—
459C4×D4C2×D18111yescharacteristic
460C4×D4C2×D18111yescharacteristic
461C4×D4C2×D18112yescomplemented
462C4×D4C2×D18111yescharacteristic, complemented
463C4×D4C2×D18112yescomplemented
464C4×D4C2×D18111yescharacteristic, complemented
465#117—1811no—
466#117—1811no—
467#117—1812no—
468#117C2×D18111yescharacteristic, complemented
469#117C2×D18111yescharacteristic, complemented
470C2×C4⋊C4—1812no—
471C2×C4⋊C4—1811no—
472C2×C22⋊C4—1812no—
473C2×C22⋊C4—1812no—
474C2×C22⋊C4—1812no—
475C2×C22⋊C4C2×D18112yescomplemented
476C2×C22⋊C4C2×D18112yescomplemented
477C2×C42—1811no—
478C24—1812no—
479C24—1812no—
480C24C22×D18112yes—
481#41—7244no—
482#41—7244no—
483C2×Q8—1811no—
484C2×Q8—1812no—
485C2×D4—24no—
486C2×D4—3624no—
487C2×D4—3624no—
488C2×D4—1812no—
489C2×D4—1812no—
490C2×D4—1812no—
491C2×D4—1811no—
492C2×D4—1811no—
493C2×D4—1812no—
494C2×D4—1812no—
495C2×D4—1812no—
496C2×D4—1812no—
497C2×D4—1812no—
498C2×D4—1812no—
499C2×D4—1812no—
500C2×D4—1811no—
501C2×D4—1811no—
502C2×D4—1812no—
503C2×D4—1811no—
504C2×D4—1812no—
505C2×D4—1812no—
506C2×D4—1812no—
507C2×D4—7244no—
508C2×D4—7244no—
509C2×D4—7244no—
510C2×D4C22×D18112yes—
511C2×D4C22×D18111yescharacteristic
512C2×D4C22×D18111yescharacteristic
513C22×C4—1812no—
514C22×C4—1811no—
515C22×C4—1811no—
516C22×C4—1811no—
517C22×C4—1811no—
518C22×C4—1812no—
519C22×C4—1812no—
520C22×C4—1812no—
521C22×C4—1812no—
522C22×C4—1812no—
523C22×C4—1812no—
524C22×C4—7244no—
525C22×C4C22×D18111yescharacteristic
526C22×C4C22×D18112yes—
527C22×C4C22×D18112yes—
528C22×C4C22×D18112yes—
529C22×C4C22×D18112yes—
530C4⋊C4—1811no—
531C4⋊C4—1812no—
532C4⋊C4—1811no—
533C4⋊C4—1812no—
534C4⋊C4—1812no—
535C4⋊C4—1812no—
536C4⋊C4—1811no—
537C4⋊C4—1811no—
538C4⋊C4—1811no—
539C4⋊C4—1811no—
540C4⋊C4—1811no—
541C4⋊C4—1811no—
542C4⋊C4—1812no—
543C4⋊C4—1812no—
544C4⋊C4—1811no—
545C4⋊C4—1811no—
546C4⋊C4C22×D18111yescharacteristic
547C4⋊C4C22×D18111yescharacteristic
548C4⋊C4C22×D18111yescharacteristic
549C4⋊C4C22×D18111yescharacteristic
550C22⋊C4—1812no—
551C22⋊C4—1812no—
552C22⋊C4—1811no—
553C22⋊C4—1811no—
554C22⋊C4—1812no—
555C22⋊C4—1812no—
556C22⋊C4—1811no—
557C22⋊C4—1812no—
558C22⋊C4—1811no—
559C22⋊C4—1812no—
560C22⋊C4—1812no—
561C22⋊C4—1812no—
562C22⋊C4—1812no—
563C22⋊C4—1812no—
564C22⋊C4—1812no—
565C22⋊C4—1811no—
566C22⋊C4—1811no—
567C22⋊C4—1811no—
568C22⋊C4—1811no—
569C22⋊C4—1812no—
570C22⋊C4—1812no—
571C22⋊C4C22×D18112yes—
572C22⋊C4C22×D18111yescharacteristic
573C22⋊C4C22×D18112yes—
574C22⋊C4C22×D18111yescharacteristic
575C22⋊C4C22×D18112yes—
576C22⋊C4C22×D18112yes—
577C22⋊C4C22×D18112yes—
578C42—1811no—
579C42—1811no—
580C42—1811no—
581C42—1812no—
582C42—1811no—
583C42C22×D18111yescharacteristic
584C42C22×D18112yes—
585C42C22×D18111yescharacteristic
586C23—24no—
587C23—42no—
588C23—42no—
589C23—3624no—
590C23—3624no—
591C23—3624no—
592C23—1811no—
593C23—1812no—
594C23—1812no—
595C23—1811no—
596C23—7242no—
597C23—7242no—
598C23—7242no—
599C23C23×D18111yescharacteristic
600C23C23×D18112yes—
601C23C23×D18112yes—
602Q8—3622no—
603Q8—7242no—
604D4—24no—
605D4—22no—
606D4—3622no—
607D4—3624no—
608D4—3622no—
609D4—3624no—
610D4—3624no—
611D4—3624no—
612D4—3622no—
613D4—3624no—
614D4—3622no—
615D4—3622no—
616D4—7242no—
617D4—7242no—
618D4—7242no—
619D4—7242no—
620D4—7242no—
621D4—7242no—
622D4—7242no—
623D4—7242no—
624D4—7242no—
625D4#1566844914yescomplemented
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—3622no—
632C2×C4—3622no—
633C2×C4—3624no—
634C2×C4—3624no—
635C2×C4—3622no—
636C2×C4—3622no—
637C2×C4—1811no—
638C2×C4—1811no—
639C2×C4—1811no—
640C2×C4—1812no—
641C2×C4—1811no—
642C2×C4—1811no—
643C2×C4—1812no—
644C2×C4—1811no—
645C2×C4—7242no—
646C2×C4—7242no—
647C2×C4—7242no—
648C2×C4—7242no—
649C2×C4—7242no—
650C2×C4C23×D18111yescharacteristic
651C2×C4C23×D18111yescharacteristic
652C2×C4C23×D18112yes—
653C2×C4C23×D18111yescharacteristic
654C2×C4C23×D18112yes—
655C2×C4C23×D18111yescharacteristic
656C2×C4C23×D18111yescharacteristic
657C2×C4C23×D18111yescharacteristic
658C22—22no—
659C22—22no—
660C22—21no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—21no—
665C22—21no—
666C22—84no—
667C22—3621no—
668C22—3621no—
669C22—3621no—
670C22—3622no—
671C22—3622no—
672C22—3622no—
673C22—3622no—
674C22—3622no—
675C22—3621no—
676C22—3621no—
677C22—3622no—
678C22—14484no—
679C22—1812no—
680C22—7248no—
681C22C2×#1566844914yes—
682C22C24×D18111yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—22no—
687C4—21no—
688C4—22no—
689C4—21no—
690C4—3621no—
691C4—3621no—
692C4—3622no—
693C4—3621no—
694C4—3621no—
695C4—3622no—
696C4—3621no—
697C4—1812no—
698C4C2×#1566844912yes—
699C2—24no—
700C2—41no—
701C2—42no—
702C2—3622no—
703C2—7241no—
704C2—7242no—
705C2—7242no—
706C2C22×#1566844911yescharacteristic
707C2H(5,𝔽2)×D18111yescharacteristic
708C2H(5,𝔽2)×D18111yescharacteristic
subgroupG/H
center, FrattiniC22C24×D181
commutator, socle, cosocleC22×C181C25
Fitting#518×C181C2
hypercenter#518D181
hypocenterC181#3519
LCSG ▷ C22×C181 ▷ C181
UCSC1 ◁ C22 ◁ #518

Complements

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

NH ≅ G/Ntype
1. #26041992C2semidirect
2. #26041988C2semidirect
3. #26041979C2semidirect
4. #26041978C2semidirect
5. #26041973C2semidirect
6. #26041950C2semidirect
7. #26041925C2semidirect
8. #26041919C2semidirect
9. #26041919C2semidirect
10. D4×D724C2semidirect
11. D4×C22⋊D181C2semidirect
12. D4×C22⋊D181C2semidirect
13. #26041884C2semidirect
14. #26041880C2semidirect
15. #26041867C2semidirect
16. #26041862C2semidirect
17. #26041826C2semidirect
18. #26041807C2semidirect
19. #26041788C2semidirect
20. C2×#19153789C2semidirect
21. #26041751C2semidirect
22. C4×D4×D181C2semidirect
23. #518×C181C2semidirect
24. C2×#15668449C22semidirect
25. C2×#15668449C22semidirect
26. C22×D724C22semidirect
27. C22×C22⋊D181C22semidirect
28. C22×C22⋊D181C22semidirect
31. C22×C4×D181C22semidirect
32. #19153815C22semidirect
33. #19153813C22semidirect
34. #19153812C22semidirect
35. #19153812C22semidirect
36. #19153811C22semidirect
37. #19153810C22semidirect
38. #19153809C22semidirect
39. #19153809C22semidirect
40. #19153808C22semidirect
41. #19153807C22semidirect
42. #19153806C22semidirect
43. #19153804C22semidirect
44. #19153802C22semidirect
45. #19153802C22semidirect
46. #19153802C22semidirect
47. #19153801C22semidirect
48. #19153801C22semidirect
49. #19153801C22semidirect
50. #19153799C22semidirect
51. #19153799C22semidirect
52. #19153798C22semidirect
53. #19153798C22semidirect
54. #19153798C22semidirect
55. #19153795C22semidirect
56. #19153794C22semidirect
57. #19153793C22semidirect
58. #19153793C22semidirect
59. #19153791C22semidirect
60. #19153791C22semidirect
61. #19153790C22semidirect
62. #19153790C22semidirect
63. #19153790C22semidirect
64. #19153790C22semidirect
65. #19153790C22semidirect
67. #19153789C22semidirect
68. #19153789C22semidirect
69. #19153789C22semidirect
70. #19153789C22semidirect
71. #19153789C22semidirect
72. #19153789C22semidirect
73. #19153789C22semidirect
74. #19153789C22semidirect
75. #19153789C22semidirect
76. #19153788C22semidirect
77. #19153788C22semidirect
78. #19153787C22semidirect
79. #19153787C22semidirect
80. #19153786C22semidirect
81. #19153786C22semidirect
82. #19153785C22semidirect
83. #19153785C22semidirect
84. #19153784C22semidirect
85. #19153784C22semidirect
86. C4×Dic362C22semidirect
87. C4×D724C22semidirect
88. C4×D724C22semidirect
89. C4×D724C22semidirect
90. C4×D724C22semidirect
93. #19153778C22semidirect
94. #19153778C22semidirect
95. C4×C22⋊D181C22semidirect
96. C4×C22⋊D181C22semidirect
97. C4×C22⋊D181C22semidirect
98. C4×C22⋊D181C22semidirect
99. C4×C22⋊D181C22semidirect
100. C4×C22⋊D181C22semidirect
101. #19153776C22semidirect
102. #19153776C22semidirect
103. #19153774C22semidirect
104. #19153773C22semidirect
105. #19153773C22semidirect
106. C2×#15668428C22semidirect
107. C4⋊C4×D181C22semidirect
108. C2×#15668426C22semidirect
109. C22⋊C4×D181C22semidirect
110. C22⋊C4×D181C22semidirect
111. C42×D181C22semidirect
115. C4×D4×C181C22semidirect
116. C4×D4×C181C22semidirect
117. C4×D4×C181C22semidirect
118. C4×D4×C181C22semidirect
119. #117×C181C22semidirect
120. #117×C181C22semidirect
121. C2×C22⋊C4×C181C22semidirect
122. C2×C22⋊C4×C181C22semidirect
289. D4×C181#41semidirect
354. C181#3519semidirect
377. #518D181semidirect
461. C4×D4C2×D181semidirect
462. C4×D4C2×D181semidirect
463. C4×D4C2×D181semidirect
464. C4×D4C2×D181semidirect
468. #117C2×D181semidirect
469. #117C2×D181semidirect
475. C2×C22⋊C4C2×D181semidirect
476. C2×C22⋊C4C2×D181semidirect
625. D4#15668449semidirect

Maximal subgroups

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

subgroupindex
#260419922
#260419882
#260419792
#260419782
#260419732
#260419502
#260419252
#260419192
D4×D7242
D4×C22⋊D1812
#260418842
#260418802
#260418672
#260418622
#260418262
#260418072
#260417882
C2×#191537892
#260417512
C4×D4×D1812
#518×C1812
#3519181