Finite Group Databasebeta

← #37548023

Subgroups — #37548023

Order 23168.

1160 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26042026C212yesmaximal, complemented
2#26042017C212yesmaximal, complemented
3#26041994C211yesmaximal, characteristic, complemented
4#26041981C211yesmaximal, characteristic, complemented
5#26041971C211yesmaximal, characteristic, complemented
6#26041955C212yesmaximal, complemented
7#26041948C211yesmaximal, characteristic, complemented
8#26041933C211yesmaximal, characteristic, complemented
9#26041922C211yesmaximal, characteristic, complemented
10#26041916C212yesmaximal, complemented
11D4×C22⋊D181C211yesmaximal, characteristic, complemented
12#26041898C211yesmaximal, characteristic, complemented
13#26041882C212yesmaximal, complemented
14#26041880C211yesmaximal, characteristic, complemented
15#26041865C212yesmaximal, complemented
16#26041857C211yesmaximal, characteristic, complemented
17#26041845C211yesmaximal, characteristic, complemented
18#26041844C212yesmaximal, complemented
19#26041841C212yesmaximal, complemented
20#26041792C211yesmaximal, characteristic, complemented
21#26041788C211yesmaximal, characteristic, complemented
22C2×#19153787C211yesmaximal, characteristic, complemented
23#546×C181C211yesmaximal, characteristic, complemented
24C2×#15668450C2211yescharacteristic, complemented
25C2×#15668449C2211yescharacteristic, complemented
26C2×#15668448C2212yescomplemented
27C22×C22⋊D181C2212yes—
28C22×C22⋊D181C2212yescomplemented
29C2×D4×D181C2211yescharacteristic, complemented
30C22×C4×D181C2211yescharacteristic, complemented
31#19153816C2211yescharacteristic, complemented
32#19153812C2211yescharacteristic, complemented
33#19153812C2212yescomplemented
34#19153812C2212yescomplemented
35#19153811C2212yescomplemented
36#19153809C2212yescomplemented
37#19153809C2212yescomplemented
38#19153807C2211yescharacteristic, complemented
39#19153807C2212yescomplemented
40#19153802C2212yescomplemented
41#19153802C2212yescomplemented
42#19153802C2212yescomplemented
43#19153802C2212yescomplemented
44#19153801C2211yescharacteristic, complemented
45#19153801C2212yescomplemented
46#19153800C2212yes—
47#19153800C2212yescomplemented
48#19153800C2212yescomplemented
49#19153800C2212yescomplemented
50#19153800C2212yescomplemented
51#19153799C2212yescomplemented
52#19153798C2212yescomplemented
53#19153798C2211yescharacteristic, complemented
54#19153798C2212yescomplemented
55#19153796C2212yescomplemented
56#19153795C2212yescomplemented
57#19153794C2211yescharacteristic, complemented
58#19153793C2212yescomplemented
59#19153793C2211yescharacteristic, complemented
60#19153792C2211yescharacteristic, complemented
61#19153792C2211yescharacteristic, complemented
62#19153791C2211yescharacteristic, complemented
63#19153790C2211yescharacteristic
64#19153790C2212yescomplemented
65#19153790C2212yescomplemented
66#19153790C2211yescharacteristic, complemented
67#19153790C2212yescomplemented
68#19153790C2212yescomplemented
69#19153789C2212yescomplemented
70#19153789C2212yescomplemented
71#19153789C2211yescharacteristic, complemented
72#19153788C2211yescharacteristic
73#19153788C2212yescomplemented
74#19153788C2212yescomplemented
75#19153788C2212yescomplemented
76#19153788C2212yescomplemented
77#19153787C2211yescharacteristic
78#19153787C2211yescharacteristic
79#19153787C2211yescharacteristic, complemented
80#19153787C2211yescharacteristic, complemented
81#19153787C2212yescomplemented
82#19153787C2212yescomplemented
83#19153787C2211yescharacteristic, complemented
84#19153787C2212yescomplemented
85#19153786C2211yescharacteristic
86#19153786C2212yescomplemented
87#19153786C2212yescomplemented
88#19153786C2212yescomplemented
89#19153785C2212yes—
90#19153784C2212yescomplemented
91#19153784C2212yescomplemented
92#19153784C2211yescharacteristic, complemented
93Q8×Dic181C2211yescharacteristic, complemented
94C4×D724C2211yescharacteristic, complemented
95C4×D724C2211yescharacteristic, complemented
96D4×Dic181C2212yescomplemented
97D4×Dic181C2211yescharacteristic, complemented
98#19153778C2212yescomplemented
99C4×C22⋊D181C2211yescharacteristic
100C4×C22⋊D181C2212yescomplemented
101C4×C22⋊D181C2211yescharacteristic, complemented
102#19153776C2212yescomplemented
103#19153775C2212yescomplemented
104#19153774C2211yescharacteristic, complemented
105#19153774C2211yescharacteristic, complemented
106#19153773C2211yescharacteristic, complemented
107#19153772C2212yescomplemented
108C2×C4⋊Dic181C2211yescharacteristic, complemented
109C2×C4⋊Dic181C2211yescharacteristic, complemented
110C2×C22⋊Dic181C2212yescomplemented
111C22⋊C4×D181C2212yescomplemented
112C2×#41×C181C2211yescharacteristic, complemented
113C22×D4×C181C2211yescharacteristic
114#124×C181C2211yescharacteristic, complemented
115#123×C181C2212yescomplemented
116C22⋊Q8×C181C2211yescharacteristic, complemented
117#121×C181C2212yescomplemented
118#121×C181C2211yescharacteristic, complemented
119#120×C181C2212yescomplemented
120C4×D4×C181C2211yescharacteristic, complemented
121C4×D4×C181C2211yescharacteristic, complemented
122C2×C22⋊C4×C181C2212yescomplemented
123C23×D181C2311yescharacteristic
124C23×D181C2312yes—
125#15668450—42no—
126#15668449—42no—
127#15668448—44no—
128C2×Dic362C2311yescharacteristic
129C2×Dic362C2312yes—
130C2×D724C2311yescharacteristic
131C2×D724C2312yes—
132C2×D724C2311yescharacteristic
133C2×D724C2311yescharacteristic
134C2×D724C2312yes—
135C2×C22⋊D181—44no—
136C2×C22⋊D181—44no—
137C2×C22⋊D181C2312yes—
138C2×C22⋊D181C2311yescharacteristic
139C2×C22⋊D181C2312yes—
140C2×C22⋊D181C2311yescharacteristic
141C2×C22⋊D181C2311yescharacteristic
142C2×C22⋊D181C2312yes—
143C2×C22⋊D181C2312yes—
144C2×C22⋊D181C2311yescharacteristic
145C2×C22⋊D181C2312yes—
146C2×C22⋊D181C2312yes—
147C2×C22⋊D181C2312yes—
148C2×C22⋊D181C2312yes—
149C2×C22⋊D181C2312yes—
150C2×C22⋊D181C2312yes—
151D4×D181—42no—
152C22×Dic181C2312yes—
153C22×Dic181C2311yescharacteristic
154C22×Dic181C2312yes—
155C22×Dic181C2312yes—
156C2×C4×D181—42no—
157C2×C4×D181C2311yescharacteristic
158C2×C4×D181C2311yescharacteristic
159C2×C4×D181C2311yescharacteristic
160C2×C4×D181C2312yes—
161C2×C4×D181C2312yes—
162C2×C4×D181C2311yescharacteristic
163C2×C4×D181C2311yescharacteristic
164C4⋊Dic181C2311yescharacteristic
165C4⋊Dic181C2311yescharacteristic
166C4⋊Dic181C2311yescharacteristic
167C4⋊Dic181C2312yes—
168C4⋊Dic181C2312yes—
169C4⋊Dic181C2311yescharacteristic
170C4⋊Dic181C2312yes—
171C4⋊Dic181C2312yes—
172C4⋊Dic181C2312yes—
173#15668428C2312yes—
174#15668428C2312yes—
175#15668428C2311yescharacteristic
176#15668428C2311yescharacteristic
177#15668428C2312yes—
178#15668428C2311yescharacteristic
179#15668428C2311yescharacteristic
180C22⋊Dic181C2312yes—
181C22⋊Dic181C2312yes—
182C22⋊Dic181C2312yes—
183C22⋊Dic181C2312yes—
184C22⋊Dic181C2311yescharacteristic
185C22⋊Dic181C2312yes—
186C22⋊Dic181C2311yescharacteristic
187C22⋊Dic181C2312yes—
188#15668426C2311yescharacteristic
189#15668426C2312yes—
190#15668426C2311yescharacteristic
191#15668426C2311yescharacteristic
192#15668426C2312yes—
193#15668426C2312yes—
194#15668426C2312yes—
195#15668426C2311yescharacteristic
196#15668426C2311yescharacteristic
197#15668426C2312yes—
198#15668426C2312yes—
199#15668426C2312yes—
200#15668426C2311yescharacteristic
201#15668426C2312yes—
202C4×Dic181C2312yes—
203C4×Dic181C2312yes—
204C4×Dic181C2311yescharacteristic
205C4×Dic181C2312yes—
206C24×C181C2312yes—
207#41×C181—42no—
208C2×Q8×C181C2311yescharacteristic
209C2×D4×C181—42no—
210C2×D4×C181C2311yescharacteristic
211C2×D4×C181C2311yescharacteristic
212C2×D4×C181C2311yescharacteristic
213C2×D4×C181C2312yes—
214C2×D4×C181C2312yes—
215C2×D4×C181C2312yes—
216C22×C4×C181C2311yescharacteristic
217C22×C4×C181C2311yescharacteristic
218C22×C4×C181C2312yes—
219C22×C4×C181C2312yes—
220C4⋊C4×C181C2311yescharacteristic
221C4⋊C4×C181C2311yescharacteristic
222C4⋊C4×C181C2312yes—
223C22⋊C4×C181C2311yescharacteristic
224C22⋊C4×C181C2312yes—
225C22⋊C4×C181C2312yes—
226C22⋊C4×C181C2312yes—
227C22⋊C4×C181C2312yes—
228C22⋊C4×C181C2311yescharacteristic
229C22⋊C4×C181C2312yes—
230C42×C181C2311yescharacteristic
231C22×D181—22no—
232C22×D181—41no—
233C22×D181—41no—
234C22×D181—42no—
235C22×D181—42no—
236C22×D181—42no—
237C22×D181C2411yescharacteristic
238C22×D181C2411yescharacteristic
239C22×D181C2411yescharacteristic
240C22×D181C2412yes—
241Dic362—42no—
242Dic362—41no—
243D724—22no—
244D724—41no—
245D724—42no—
246D724—41no—
247D724—42no—
248C22⋊D181—22no—
249C22⋊D181—24no—
250C22⋊D181—42no—
251C22⋊D181—42no—
252C22⋊D181—42no—
253C22⋊D181—42no—
254C22⋊D181—42no—
255C22⋊D181—42no—
256C22⋊D181—42no—
257C22⋊D181—42no—
258C22⋊D181—41no—
259C22⋊D181—42no—
260C22⋊D181—41no—
261C22⋊D181—41no—
262C2×Dic181—24no—
263C2×Dic181—41no—
264C2×Dic181—42no—
265C2×Dic181—42no—
266C2×Dic181C2411yescharacteristic
267C2×Dic181C2412yes—
268C2×Dic181C2411yescharacteristic
269C2×Dic181C2411yescharacteristic
270C2×Dic181C2412yes—
271C2×Dic181C2411yescharacteristic
272C2×Dic181C2411yescharacteristic
273C2×Dic181C2412yes—
274C4×D181—22no—
275C4×D181—22no—
276C4×D181—22no—
277C4×D181—41no—
278C4×D181—41no—
279C4×D181—42no—
280C4×D181—42no—
281C23×C181—24no—
282C23×C181—42no—
283C23×C181—42no—
284C23×C181C2412yes—
285C23×C181C2412yes—
286C23×C181C2411yescharacteristic
287C23×C181C2411yescharacteristic
288Q8×C181—22no—
289D4×C181—22no—
290D4×C181—22no—
291D4×C181—22no—
292D4×C181—42no—
293D4×C181—42no—
294D4×C181—42no—
295C2×C4×C181—22no—
296C2×C4×C181—22no—
297C2×C4×C181—42no—
298C2×C4×C181—42no—
299C2×C4×C181C2411yescharacteristic
300C2×C4×C181C2411yescharacteristic
301C2×C4×C181C2412yes—
302C2×C4×C181C2411yescharacteristic
303C2×C4×C181C2412yes—
304C2×C4×C181C2411yescharacteristic
305C2×C4×C181C2411yescharacteristic
306C22×C181—21no—
307C22×C181—21no—
308C22×C181—21no—
309C22×C181—22no—
310C22×C181—22no—
311C22×C181—21no—
312C22×C181—22no—
313C22×C181—22no—
314C22×C181—22no—
315C22×C181—21no—
316C22×C181—22no—
317C22×C181—84no—
318C22×C181H(5,𝔽2)12yes—
319C22×C181C2511yescharacteristic
320C2×D181—21no—
321C2×D181—21no—
322C2×D181—21no—
323C2×D181—22no—
324C2×D181—22no—
325C2×D181—21no—
326C2×D181—21no—
327C2×D181—21no—
328C2×D181—21no—
329C2×D181—22no—
330C2×D181—21no—
331C2×D181—21no—
332C2×D181—44no—
333C2×D181—84no—
334C4×C181—21no—
335C4×C181—21no—
336C4×C181—22no—
337C4×C181—21no—
338C4×C181—21no—
339C4×C181—22no—
340C4×C181H(5,𝔽2)12yes—
341Dic181—21no—
342Dic181—21no—
343Dic181—21no—
344Dic181—22no—
345Dic181—22no—
346Dic181—21no—
347Dic181—22no—
348Dic181—21no—
349C2×C181—22no—
350C2×C181—42no—
351C2×C181—41no—
352C2×C181—42no—
353C2×C181C2×H(5,𝔽2)11yescharacteristic
354C2×C181C2×H(5,𝔽2)11yescharacteristic
355C2×C181#58511yescharacteristic
356D181—41no—
357D181—41no—
358D181—42no—
359D181—41no—
360C181#354211yescharacteristic, complemented, Sylow
361#3542—1811nomaximal, Sylow
362#562—1812no—
363#560—1812no—
364#555—1811no—
365#553—1811no—
366#552—1811no—
367#551—1812no—
368#550—1811no—
369#547—1811no—
370#546—1811no—
371#546—1812no—
372#546D18111yescharacteristic, complemented
373D42—1811no—
374#542—1811no—
375#540—1812no—
376#540—1811no—
377#538—1812no—
378#537—1811no—
379#535—1811no—
380#535—1812no—
381#534—1812no—
382#525—1811no—
383#525—1811no—
384C2×#121—1811no—
385C2×#41—1811no—
386C2×#41—1812no—
387C2×#41—1811no—
388C2×#41C2×D18111yescharacteristic, complemented
389C22×D4—1812no—
390C22×D4—1812no—
391C22×D4—1811no—
392C22×D4C2×D18111yescharacteristic
393C23×C4—1811no—
394C4⋊Q8—1811no—
395#127—1812no—
396#127—1812no—
397#127—1811no—
398#126—1812no—
399#126—1812no—
400#126—1812no—
401#125—1811no—
402#125—1812no—
403#124—1812no—
404#124—1812no—
405#124—1812no—
406#124—1812no—
407#124C2×D18111yescharacteristic, complemented
408#123—1812no—
409#123—1811no—
410#123—1812no—
411#123—1811no—
412#123—1812no—
413#123—1812no—
414#123—1812no—
415#123—1812no—
416#123—1812no—
417#123—1812no—
418#123—1812no—
419#123C2×D18112yescomplemented
420C22⋊Q8—1811no—
421C22⋊Q8—1811no—
422C22⋊Q8—1812no—
423C22⋊Q8—1811no—
424C22⋊Q8—1812no—
425C22⋊Q8—1811no—
426C22⋊Q8—1812no—
427C22⋊Q8C2×D18111yescharacteristic, complemented
428#121—1811no—
429#121—1811no—
430#121—1812no—
431#121—1811no—
432#121—1811no—
433#121—1812no—
434#121—1811no—
435#121—1812no—
436#121—1812no—
437#121—1811no—
438#121—1812no—
439#121—1812no—
440#121—1812no—
441#121—1811no—
442#121—1812no—
443#121—1812no—
444#121—1812no—
445#121—1812no—
446#121—1811no—
447#121—1811no—
448#121—1811no—
449#121—1812no—
450#121—1812no—
451#121C2×D18111yescharacteristic, complemented
452#121C2×D18112yescomplemented
453#120—1812no—
454#120—1811no—
455#120—1812no—
456#120—1812no—
457#120—1811no—
458#120—1812no—
459#120—1812no—
460#120—1812no—
461#120C2×D18112yescomplemented
462C4×Q8—1811no—
463C4×D4—1812no—
464C4×D4—1811no—
465C4×D4—1811no—
466C4×D4—1811no—
467C4×D4—1812no—
468C4×D4—1812no—
469C4×D4—1812no—
470C4×D4—1811no—
471C4×D4—1811no—
472C4×D4C2×D18111yescharacteristic, complemented
473C4×D4C2×D18111yescharacteristic, complemented
474#117—1812no—
475#117—1811no—
476#117—1811no—
477#117—1812no—
478#117—1811no—
479C2×C4⋊C4—1811no—
480C2×C4⋊C4—1811no—
481C2×C22⋊C4—1812no—
482C2×C22⋊C4—1812no—
483C2×C22⋊C4C2×D18112yescomplemented
484C24—1811no—
485C24—1812no—
486C24C22×D18112yes—
487#41—42no—
488#41—7242no—
489#41—7244no—
490#41—7242no—
491C2×Q8—1811no—
492C2×Q8—1812no—
493C2×Q8C22×D18111yescharacteristic
494C2×D4—42no—
495C2×D4—1812no—
496C2×D4—1811no—
497C2×D4—1812no—
498C2×D4—1811no—
499C2×D4—1811no—
500C2×D4—1812no—
501C2×D4—1812no—
502C2×D4—1812no—
503C2×D4—1812no—
504C2×D4—1811no—
505C2×D4—1812no—
506C2×D4—1812no—
507C2×D4—1812no—
508C2×D4—1812no—
509C2×D4—1811no—
510C2×D4—1811no—
511C2×D4—1812no—
512C2×D4—1811no—
513C2×D4—1812no—
514C2×D4—7242no—
515C2×D4—7244no—
516C2×D4—7244no—
517C2×D4C22×D18111yescharacteristic
518C2×D4C22×D18111yescharacteristic
519C2×D4C22×D18111yescharacteristic
520C2×D4C22×D18112yes—
521C2×D4C22×D18112yes—
522C2×D4C22×D18112yes—
523C22×C4—1812no—
524C22×C4—1811no—
525C22×C4—1811no—
526C22×C4—1811no—
527C22×C4—1811no—
528C22×C4—1812no—
529C22×C4—1812no—
530C22×C4—1812no—
531C22×C4—1812no—
532C22×C4—1811no—
533C22×C4—1811no—
534C22×C4—7242no—
535C22×C4C22×D18111yescharacteristic
536C22×C4C22×D18111yescharacteristic
537C22×C4C22×D18112yes—
538C22×C4C22×D18112yes—
539C4⋊C4—1811no—
540C4⋊C4—1811no—
541C4⋊C4—1811no—
542C4⋊C4—1812no—
543C4⋊C4—1812no—
544C4⋊C4—1811no—
545C4⋊C4—1812no—
546C4⋊C4—1812no—
547C4⋊C4—1811no—
548C4⋊C4—1811no—
549C4⋊C4—1812no—
550C4⋊C4—1811no—
551C4⋊C4—1811no—
552C4⋊C4—1812no—
553C4⋊C4—1812no—
554C4⋊C4—1812no—
555C4⋊C4C22×D18111yescharacteristic
556C4⋊C4C22×D18112yes—
557C4⋊C4C22×D18111yescharacteristic
558C22⋊C4—1812no—
559C22⋊C4—1812no—
560C22⋊C4—1812no—
561C22⋊C4—1812no—
562C22⋊C4—1811no—
563C22⋊C4—1812no—
564C22⋊C4—1811no—
565C22⋊C4—1812no—
566C22⋊C4—1811no—
567C22⋊C4—1812no—
568C22⋊C4—1812no—
569C22⋊C4—1811no—
570C22⋊C4—1812no—
571C22⋊C4—1811no—
572C22⋊C4—1811no—
573C22⋊C4—1812no—
574C22⋊C4—1811no—
575C22⋊C4—1812no—
576C22⋊C4—1812no—
577C22⋊C4—1811no—
578C22⋊C4—1812no—
579C22⋊C4—1812no—
580C22⋊C4C22×D18112yes—
581C22⋊C4C22×D18111yescharacteristic
582C22⋊C4C22×D18112yes—
583C22⋊C4C22×D18112yes—
584C22⋊C4C22×D18112yes—
585C22⋊C4C22×D18112yes—
586C22⋊C4C22×D18111yescharacteristic
587C42—1812no—
588C42—1812no—
589C42—1811no—
590C42—1812no—
591C42C22×D18111yescharacteristic
592C23—24no—
593C23—42no—
594C23—42no—
595C23—3622no—
596C23—1811no—
597C23—1811no—
598C23—1811no—
599C23—1812no—
600C23—7242no—
601C23—7242no—
602C23—7242no—
603C23—7241no—
604C23—7241no—
605C23C23×D18112yes—
606C23C23×D18112yes—
607C23C23×D18111yescharacteristic
608C23C23×D18111yescharacteristic
609Q8—22no—
610Q8—7241no—
611Q8—7242no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—3622no—
619D4—3624no—
620D4—3622no—
621D4—7241no—
622D4—7242no—
623D4—7241no—
624D4—7242no—
625D4—7242no—
626D4—7242no—
627D4—7242no—
628D4—7242no—
629D4—7242no—
630D4—7242no—
631D4—7242no—
632D4—7241no—
633D4—7241no—
634D4—7242no—
635D4—7242no—
636D4—7241no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—3624no—
642C2×C4—3622no—
643C2×C4—3622no—
644C2×C4—3622no—
645C2×C4—1811no—
646C2×C4—1811no—
647C2×C4—1811no—
648C2×C4—1812no—
649C2×C4—1812no—
650C2×C4—1811no—
651C2×C4—1811no—
652C2×C4—1812no—
653C2×C4—7241no—
654C2×C4—7241no—
655C2×C4—7242no—
656C2×C4—7242no—
657C2×C4—7241no—
658C2×C4—7242no—
659C2×C4—7242no—
660C2×C4C23×D18112yes—
661C2×C4C23×D18112yes—
662C2×C4C23×D18111yescharacteristic
663C2×C4C23×D18111yescharacteristic
664C2×C4C23×D18111yescharacteristic
665C2×C4C23×D18111yescharacteristic
666C2×C4C23×D18111yescharacteristic
667C22—21no—
668C22—21no—
669C22—22no—
670C22—21no—
671C22—22no—
672C22—21no—
673C22—22no—
674C22—22no—
675C22—21no—
676C22—22no—
677C22—22no—
678C22—84no—
679C22—3622no—
680C22—3621no—
681C22—3621no—
682C22—3621no—
683C22—3621no—
684C22—3621no—
685C22—3621no—
686C22—3622no—
687C22—3622no—
688C22—3621no—
689C22—3621no—
690C22—3621no—
691C22—14484no—
692C22—7244no—
693C22#1915386212yes—
694C22C24×D18111yescharacteristic
695C4—21no—
696C4—22no—
697C4—21no—
698C4—21no—
699C4—22no—
700C4—21no—
701C4—3621no—
702C4—3621no—
703C4—3621no—
704C4—3621no—
705C4—3622no—
706C4—3622no—
707C4—3621no—
708C4—3622no—
709C4#1915386112yes—
710C2—22no—
711C2—42no—
712C2—42no—
713C2—41no—
714C2—7241no—
715C2—7242no—
716C2—7241no—
717C2—7241no—
718C2C2×#1915386111yescharacteristic
719C2C2×#1915386211yescharacteristic
720C2#2604211411yescharacteristic
subgroupG/H
center, FrattiniC22C24×D181
commutator, socle, cosocleC22×C181C25
Fitting#546×C181C2
hypercenter#546D181
hypocenterC181#3542
LCSG ▷ C22×C181 ▷ C181
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
1. #26042026C2semidirect
2. #26042017C2semidirect
3. #26041994C2semidirect
4. #26041981C2semidirect
5. #26041971C2semidirect
6. #26041955C2semidirect
7. #26041948C2semidirect
8. #26041933C2semidirect
9. #26041922C2semidirect
10. #26041916C2semidirect
11. D4×C22⋊D181C2semidirect
12. #26041898C2semidirect
13. #26041882C2semidirect
14. #26041880C2semidirect
15. #26041865C2semidirect
16. #26041857C2semidirect
17. #26041845C2semidirect
18. #26041844C2semidirect
19. #26041841C2semidirect
20. #26041792C2semidirect
21. #26041788C2semidirect
22. C2×#19153787C2semidirect
23. #546×C181C2semidirect
24. C2×#15668450C22semidirect
25. C2×#15668449C22semidirect
26. C2×#15668448C22semidirect
28. C22×C22⋊D181C22semidirect
29. C2×D4×D181C22semidirect
30. C22×C4×D181C22semidirect
31. #19153816C22semidirect
32. #19153812C22semidirect
33. #19153812C22semidirect
34. #19153812C22semidirect
35. #19153811C22semidirect
36. #19153809C22semidirect
37. #19153809C22semidirect
38. #19153807C22semidirect
39. #19153807C22semidirect
40. #19153802C22semidirect
41. #19153802C22semidirect
42. #19153802C22semidirect
43. #19153802C22semidirect
44. #19153801C22semidirect
45. #19153801C22semidirect
47. #19153800C22semidirect
48. #19153800C22semidirect
49. #19153800C22semidirect
50. #19153800C22semidirect
51. #19153799C22semidirect
52. #19153798C22semidirect
53. #19153798C22semidirect
54. #19153798C22semidirect
55. #19153796C22semidirect
56. #19153795C22semidirect
57. #19153794C22semidirect
58. #19153793C22semidirect
59. #19153793C22semidirect
60. #19153792C22semidirect
61. #19153792C22semidirect
62. #19153791C22semidirect
64. #19153790C22semidirect
65. #19153790C22semidirect
66. #19153790C22semidirect
67. #19153790C22semidirect
68. #19153790C22semidirect
69. #19153789C22semidirect
70. #19153789C22semidirect
71. #19153789C22semidirect
73. #19153788C22semidirect
74. #19153788C22semidirect
75. #19153788C22semidirect
76. #19153788C22semidirect
79. #19153787C22semidirect
80. #19153787C22semidirect
81. #19153787C22semidirect
82. #19153787C22semidirect
83. #19153787C22semidirect
84. #19153787C22semidirect
86. #19153786C22semidirect
87. #19153786C22semidirect
88. #19153786C22semidirect
90. #19153784C22semidirect
91. #19153784C22semidirect
92. #19153784C22semidirect
93. Q8×Dic181C22semidirect
94. C4×D724C22semidirect
95. C4×D724C22semidirect
96. D4×Dic181C22semidirect
97. D4×Dic181C22semidirect
98. #19153778C22semidirect
100. C4×C22⋊D181C22semidirect
101. C4×C22⋊D181C22semidirect
102. #19153776C22semidirect
103. #19153775C22semidirect
104. #19153774C22semidirect
105. #19153774C22semidirect
106. #19153773C22semidirect
107. #19153772C22semidirect
108. C2×C4⋊Dic181C22semidirect
109. C2×C4⋊Dic181C22semidirect
110. C2×C22⋊Dic181C22semidirect
111. C22⋊C4×D181C22semidirect
112. C2×#41×C181C22semidirect
114. #124×C181C22semidirect
115. #123×C181C22semidirect
116. C22⋊Q8×C181C22semidirect
117. #121×C181C22semidirect
118. #121×C181C22semidirect
119. #120×C181C22semidirect
120. C4×D4×C181C22semidirect
121. C4×D4×C181C22semidirect
122. C2×C22⋊C4×C181C22semidirect
360. C181#3542semidirect
372. #546D181semidirect
388. C2×#41C2×D181semidirect
407. #124C2×D181semidirect
419. #123C2×D181semidirect
427. C22⋊Q8C2×D181semidirect
451. #121C2×D181semidirect
452. #121C2×D181semidirect
461. #120C2×D181semidirect
472. C4×D4C2×D181semidirect
473. C4×D4C2×D181semidirect
483. C2×C22⋊C4C2×D181semidirect

Maximal subgroups

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

subgroupindex
#260420262
#260420172
#260419942
#260419812
#260419712
#260419552
#260419482
#260419332
#260419222
#260419162
D4×C22⋊D1812
#260418982
#260418822
#260418802
#260418652
#260418572
#260418452
#260418442
#260418412
#260417922
#260417882
C2×#191537872
#546×C1812
#3542181