Finite Group Databasebeta

← #37548041

Subgroups — #37548041

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#26042024C212yesmaximal, complemented
2#26042017C212yesmaximal, complemented
3#26041993C211yesmaximal, characteristic, complemented
4#26041976C211yesmaximal, characteristic, complemented
5#26041964C211yesmaximal, characteristic, complemented
6#26041955C212yesmaximal, complemented
7#26041947C211yesmaximal, characteristic, complemented
8#26041930C211yesmaximal, characteristic, complemented
9#26041926C211yesmaximal, characteristic, complemented
10#26041923C211yesmaximal, characteristic, complemented
11#26041919C212yesmaximal, complemented
12D4×C22⋊D181C211yesmaximal, characteristic, complemented
13#26041896C211yesmaximal, characteristic, complemented
14#26041882C211yesmaximal, characteristic, complemented
15#26041879C212yesmaximal, complemented
16#26041861C212yesmaximal, complemented
17#26041858C211yesmaximal, characteristic, complemented
18#26041846C212yesmaximal, complemented
19#26041845C211yesmaximal, characteristic, complemented
20#26041838C212yesmaximal, complemented
21#26041790C211yesmaximal, characteristic, complemented
22#26041790C211yesmaximal, characteristic, complemented
23C2×#121×C181C211yesmaximal, characteristic, complemented
24C2×#15668449C2211yescharacteristic, complemented
25C2×#15668449C2212yescomplemented
26C2×#15668449C2211yescharacteristic, complemented
27C2×#15668448C2211yescharacteristic, complemented
28C22×C22⋊D181C2212yes—
29C2×D4×D181C2211yescharacteristic, complemented
30#19153815C2211yescharacteristic, complemented
31#19153812C2212yescomplemented
32#19153812C2211yescharacteristic, complemented
33#19153812C2212yescomplemented
34#19153811C2212yescomplemented
35#19153809C2212yescomplemented
36#19153809C2212yescomplemented
37#19153807C2211yescharacteristic, complemented
38#19153806C2212yescomplemented
39#19153803C2212yescomplemented
40#19153803C2211yescharacteristic, complemented
41#19153803C2212yescomplemented
42#19153802C2212yescomplemented
43#19153802C2212yescomplemented
44#19153801C2212yescomplemented
45#19153800C2212yescomplemented
46#19153799C2212yes—
47#19153799C2211yescharacteristic, complemented
48#19153799C2211yescharacteristic, complemented
49#19153799C2212yescomplemented
50#19153799C2212yescomplemented
51#19153798C2212yescomplemented
52#19153798C2212yescomplemented
53#19153797C2212yescomplemented
54#19153797C2212yescomplemented
55#19153797C2212yescomplemented
56#19153796C2211yescharacteristic, complemented
57#19153795C2211yescharacteristic, complemented
58#19153795C2211yescharacteristic, complemented
59#19153795C2211yescharacteristic, complemented
60#19153795C2211yescharacteristic, complemented
61#19153794C2212yescomplemented
62#19153793C2212yescomplemented
63#19153793C2212yescomplemented
64#19153791C2211yescharacteristic, complemented
65#19153790C2211yescharacteristic
66#19153790C2211yescharacteristic
67#19153790C2211yescharacteristic, complemented
68#19153790C2211yescharacteristic, complemented
69#19153789C2212yescomplemented
70#19153789C2212yescomplemented
71#19153788C2212yescomplemented
72#19153788C2212yescomplemented
73#19153788C2212yescomplemented
74#19153788C2212yescomplemented
75#19153788C2212yescomplemented
76#19153788C2212yescomplemented
77#19153787C2212yescomplemented
78#19153787C2211yescharacteristic, complemented
79#19153787C2212yescomplemented
80#19153787C2211yescharacteristic, complemented
81#19153787C2212yescomplemented
82#19153787C2212yescomplemented
83#19153786C2212yescomplemented
84#19153785C2212yes—
85#19153785C2211yescharacteristic
86#19153785C2212yescomplemented
87#19153785C2212yescomplemented
88#19153785C2211yescharacteristic, complemented
89#19153784C2212yescomplemented
90#19153784C2212yescomplemented
91#19153784C2212yescomplemented
92#19153781C2211yescharacteristic, complemented
93D4×Dic181C2211yescharacteristic, complemented
94D4×Dic181C2211yescharacteristic, complemented
95#19153778C2211yescharacteristic, complemented
96C4×C22⋊D181C2211yescharacteristic
97C4×C22⋊D181C2212yescomplemented
98C4×C22⋊D181C2212yescomplemented
99C4×C22⋊D181C2211yescharacteristic, complemented
100C4×C22⋊D181C2211yescharacteristic, complemented
101C4×C22⋊D181C2211yescharacteristic, complemented
102#19153776C2212yescomplemented
103#19153776C2212yescomplemented
104#19153775C2211yescharacteristic, complemented
105#19153775C2212yescomplemented
106#19153775C2211yescharacteristic, complemented
107#19153774C2211yescharacteristic, complemented
108#19153772C2212yescomplemented
109C4⋊C4×D181C2211yescharacteristic, complemented
110C2×C22⋊Dic181C2212yescomplemented
111C22⋊C4×D181C2212yescomplemented
112C22×D4×C181C2211yescharacteristic
113C22×D4×C181C2212yescomplemented
114C23×C4×C181C2211yescharacteristic, complemented
115#121×C181C2211yescharacteristic
116#121×C181C2211yescharacteristic
117#121×C181C2211yescharacteristic, complemented
118#121×C181C2212yescomplemented
119#121×C181C2211yescharacteristic, complemented
120#121×C181C2212yescomplemented
121C2×C4⋊C4×C181C2211yescharacteristic, complemented
122C2×C22⋊C4×C181C2212yescomplemented
123C23×D181C2312yes—
124#15668449—42no—
125#15668449—44no—
126#15668449—42no—
127#15668448—42no—
128C2×Dic362C2311yescharacteristic
129C2×Dic362C2311yescharacteristic
130C2×Dic362C2312yes—
131C2×D724C2311yescharacteristic
132C2×D724C2311yescharacteristic
133C2×D724C2312yes—
134C2×C22⋊D181—44no—
135C2×C22⋊D181C2311yescharacteristic
136C2×C22⋊D181C2312yes—
137C2×C22⋊D181C2311yescharacteristic
138C2×C22⋊D181C2312yes—
139C2×C22⋊D181C2312yes—
140C2×C22⋊D181C2311yescharacteristic
141C2×C22⋊D181C2312yes—
142C2×C22⋊D181C2311yescharacteristic
143C2×C22⋊D181C2311yescharacteristic
144C2×C22⋊D181C2312yes—
145C2×C22⋊D181C2312yes—
146C2×C22⋊D181C2312yes—
147C2×C22⋊D181C2311yescharacteristic
148C2×C22⋊D181C2312yes—
149C2×C22⋊D181C2312yes—
150D4×D181—42no—
151C22×Dic181C2312yes—
152C22×Dic181C2312yes—
153C22×Dic181C2312yes—
154C2×C4×D181C2311yescharacteristic
155C2×C4×D181C2311yescharacteristic
156C2×C4×D181C2312yes—
157C2×C4×D181C2312yes—
158C2×C4×D181C2312yes—
159C4⋊Dic181C2311yescharacteristic
160C4⋊Dic181C2311yescharacteristic
161C4⋊Dic181C2312yes—
162C4⋊Dic181C2312yes—
163C4⋊Dic181C2311yescharacteristic
164C4⋊Dic181C2311yescharacteristic
165#15668428C2312yes—
166#15668428C2311yescharacteristic
167#15668428C2312yes—
168#15668428C2311yescharacteristic
169#15668428C2312yes—
170#15668428C2311yescharacteristic
171#15668428C2312yes—
172#15668428C2312yes—
173#15668428C2311yescharacteristic
174#15668428C2312yes—
175C22⋊Dic181C2312yes—
176C22⋊Dic181C2311yescharacteristic
177C22⋊Dic181C2312yes—
178C22⋊Dic181C2312yes—
179C22⋊Dic181C2312yes—
180C22⋊Dic181C2312yes—
181C22⋊Dic181C2311yescharacteristic
182C22⋊Dic181C2311yescharacteristic
183C22⋊Dic181C2311yescharacteristic
184C22⋊Dic181C2312yes—
185C22⋊Dic181C2311yescharacteristic
186C22⋊Dic181C2311yescharacteristic
187C22⋊Dic181C2312yes—
188C22⋊Dic181C2312yes—
189C22⋊Dic181C2312yes—
190#15668426C2311yescharacteristic
191#15668426C2312yes—
192#15668426C2312yes—
193#15668426C2311yescharacteristic
194#15668426C2312yes—
195#15668426C2311yescharacteristic
196#15668426C2312yes—
197#15668426C2312yes—
198#15668426C2311yescharacteristic
199#15668426C2312yes—
200C4×Dic181C2312yes—
201C4×Dic181C2312yes—
202C4×Dic181C2312yes—
203C4×Dic181C2311yescharacteristic
204C4×Dic181C2311yescharacteristic
205C24×C181C2312yes—
206C24×C181C2311yescharacteristic
207C2×D4×C181—42no—
208C2×D4×C181—44no—
209C2×D4×C181C2311yescharacteristic
210C2×D4×C181C2311yescharacteristic
211C2×D4×C181C2312yes—
212C2×D4×C181C2312yes—
213C2×D4×C181C2312yes—
214C2×D4×C181C2312yes—
215C2×D4×C181C2312yes—
216C22×C4×C181—42no—
217C22×C4×C181C2312yes—
218C22×C4×C181C2311yescharacteristic
219C22×C4×C181C2311yescharacteristic
220C22×C4×C181C2311yescharacteristic
221C22×C4×C181C2311yescharacteristic
222C22×C4×C181C2311yescharacteristic
223C22×C4×C181C2311yescharacteristic
224C4⋊C4×C181C2311yescharacteristic
225C4⋊C4×C181C2311yescharacteristic
226C4⋊C4×C181C2312yes—
227C22⋊C4×C181C2312yes—
228C22⋊C4×C181C2312yes—
229C22⋊C4×C181C2312yes—
230C22⋊C4×C181C2312yes—
231C22×D181—42no—
232C22×D181—42no—
233C22×D181—42no—
234C22×D181C2411yescharacteristic
235C22×D181C2412yes—
236C22×D181C2411yescharacteristic
237Dic362—22no—
238Dic362—41no—
239Dic362—42no—
240D724—22no—
241D724—41no—
242D724—42no—
243C22⋊D181—22no—
244C22⋊D181—24no—
245C22⋊D181—22no—
246C22⋊D181—42no—
247C22⋊D181—42no—
248C22⋊D181—42no—
249C22⋊D181—41no—
250C22⋊D181—42no—
251C22⋊D181—42no—
252C22⋊D181—41no—
253C22⋊D181—42no—
254C22⋊D181—42no—
255C22⋊D181—41no—
256C22⋊D181—41no—
257C22⋊D181—42no—
258C2×Dic181—42no—
259C2×Dic181—42no—
260C2×Dic181—42no—
261C2×Dic181C2411yescharacteristic
262C2×Dic181C2412yes—
263C2×Dic181C2411yescharacteristic
264C2×Dic181C2411yescharacteristic
265C2×Dic181C2411yescharacteristic
266C2×Dic181C2412yes—
267C2×Dic181C2412yes—
268C2×Dic181C2411yescharacteristic
269C2×Dic181C2411yescharacteristic
270C4×D181—22no—
271C4×D181—22no—
272C4×D181—42no—
273C4×D181—42no—
274C4×D181—42no—
275C23×C181—22no—
276C23×C181—24no—
277C23×C181—41no—
278C23×C181—41no—
279C23×C181—42no—
280C23×C181—42no—
281C23×C181C2412yes—
282C23×C181C2412yes—
283C23×C181C2411yescharacteristic
284C23×C181C2411yescharacteristic
285C23×C181C2411yescharacteristic
286D4×C181—22no—
287D4×C181—22no—
288D4×C181—42no—
289D4×C181—42no—
290D4×C181—42no—
291D4×C181—42no—
292D4×C181—42no—
293C2×C4×C181—24no—
294C2×C4×C181—22no—
295C2×C4×C181—22no—
296C2×C4×C181—22no—
297C2×C4×C181—41no—
298C2×C4×C181—41no—
299C2×C4×C181—41no—
300C2×C4×C181C2411yescharacteristic
301C2×C4×C181C2411yescharacteristic
302C2×C4×C181C2412yes—
303C2×C4×C181C2412yes—
304C2×C4×C181C2411yescharacteristic
305C2×C4×C181C2411yescharacteristic
306C22×C181—21no—
307C22×C181—21no—
308C22×C181—21no—
309C22×C181—21no—
310C22×C181—22no—
311C22×C181—22no—
312C22×C181—21no—
313C22×C181—21no—
314C22×C181—22no—
315C22×C181—22no—
316C22×C181—22no—
317C22×C181—21no—
318C22×C181—21no—
319C22×C181—22no—
320C22×C181—44no—
321C22×C181—84no—
322C22×C181H(5,𝔽2)12yes—
323C22×C181C2511yescharacteristic
324C2×D181—21no—
325C2×D181—21no—
326C2×D181—21no—
327C2×D181—22no—
328C2×D181—22no—
329C2×D181—21no—
330C2×D181—21no—
331C2×D181—22no—
332C2×D181—21no—
333C2×D181—84no—
334C4×C181—21no—
335C4×C181—21no—
336C4×C181—21no—
337C4×C181—22no—
338C4×C181—22no—
339C4×C181H(5,𝔽2)12yes—
340Dic181—21no—
341Dic181—21no—
342Dic181—21no—
343Dic181—22no—
344Dic181—22no—
345Dic181—21no—
346Dic181—21no—
347Dic181—22no—
348Dic181—21no—
349C2×C181—22no—
350C2×C181—42no—
351C2×C181—41no—
352C2×C181—41no—
353C2×C181—42no—
354C2×C181C2×H(5,𝔽2)11yescharacteristic
355C2×C181C2×H(5,𝔽2)11yescharacteristic
356C2×C181#58511yescharacteristic
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—1811no—
372#546—1812no—
373D42—1811no—
374#542—1811no—
375#540—1812no—
376#540—1811no—
377#538—1812no—
378#537—1811no—
379#535—1812no—
380#535—1811no—
381#534—1812no—
382#525—1811no—
383#525—1811no—
384C2×#121D18111yescharacteristic, complemented
385C2×#41—1811no—
386C2×#41—1811no—
387C2×#41—1811no—
388C2×#41—1812no—
389C22×D4—1812no—
390C22×D4—1811no—
391C22×D4C2×D18111yescharacteristic
392C22×D4C2×D18112yescomplemented
393C23×C4C2×D18111yescharacteristic, complemented
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—1811no—
406#124—1812no—
407#124—1812no—
408#123—1812no—
409#123—1812no—
410#123—1812no—
411#123—1811no—
412#123—1811no—
413#123—1812no—
414#123—1812no—
415#123—1812no—
416#123—1812no—
417#123—1812no—
418#123—1812no—
419#123—1812no—
420C22⋊Q8—1811no—
421C22⋊Q8—1811no—
422C22⋊Q8—1811no—
423C22⋊Q8—1811no—
424C22⋊Q8—1811no—
425C22⋊Q8—1812no—
426C22⋊Q8—1812no—
427C22⋊Q8—1812no—
428#121—1812no—
429#121—1812no—
430#121—1812no—
431#121—1812no—
432#121—1812no—
433#121—1812no—
434#121—1811no—
435#121—1812no—
436#121—1812no—
437#121—1811no—
438#121—1812no—
439#121—1812no—
440#121—1811no—
441#121—1811no—
442#121—1811no—
443#121—1811no—
444#121—1811no—
445#121—1812no—
446#121—1812no—
447#121C2×D18111yescharacteristic
448#121C2×D18111yescharacteristic
449#121C2×D18111yescharacteristic, complemented
450#121C2×D18112yescomplemented
451#121C2×D18111yescharacteristic, complemented
452#121C2×D18112yescomplemented
453#120—1811no—
454#120—1812no—
455#120—1811no—
456#120—1812no—
457#120—1812no—
458#120—1812no—
459#120—1812no—
460#120—1812no—
461#120—1812no—
462C4×Q8—1811no—
463C4×D4—1811no—
464C4×D4—1811no—
465C4×D4—1812no—
466C4×D4—1811no—
467C4×D4—1811no—
468C4×D4—1812no—
469C4×D4—1811no—
470C4×D4—1811no—
471C4×D4—1811no—
472C4×D4—1812no—
473C4×D4—1812no—
474#117—1811no—
475#117—1811no—
476#117—1812no—
477#117—1811no—
478#117—1812no—
479C2×C4⋊C4—1811no—
480C2×C4⋊C4C2×D18111yescharacteristic, complemented
481C2×C22⋊C4—1812no—
482C2×C22⋊C4—1812no—
483C2×C22⋊C4C2×D18112yescomplemented
484C24—1812no—
485C24C22×D18112yes—
486C24C22×D18111yescharacteristic
487#41—7242no—
488#41—7244no—
489#41—7242no—
490#41—7242no—
491C2×Q8—1811no—
492C2×Q8—1811no—
493C2×Q8—1812no—
494C2×D4—42no—
495C2×D4—44no—
496C2×D4—1811no—
497C2×D4—1812no—
498C2×D4—1811no—
499C2×D4—1811no—
500C2×D4—1812no—
501C2×D4—1812no—
502C2×D4—1812no—
503C2×D4—1811no—
504C2×D4—1811no—
505C2×D4—1812no—
506C2×D4—1812no—
507C2×D4—1812no—
508C2×D4—1812no—
509C2×D4—1811no—
510C2×D4—1812no—
511C2×D4—1811no—
512C2×D4—1811no—
513C2×D4—1812no—
514C2×D4—7242no—
515C2×D4—7244no—
516C2×D4C22×D18111yescharacteristic
517C2×D4C22×D18111yescharacteristic
518C2×D4C22×D18112yes—
519C2×D4C22×D18112yes—
520C2×D4C22×D18112yes—
521C2×D4C22×D18112yes—
522C2×D4C22×D18112yes—
523C22×C4—42no—
524C22×C4—1811no—
525C22×C4—1811no—
526C22×C4—1812no—
527C22×C4—1812no—
528C22×C4—1812no—
529C22×C4—1812no—
530C22×C4—1812no—
531C22×C4—1812no—
532C22×C4C22×D18112yes—
533C22×C4C22×D18111yescharacteristic
534C22×C4C22×D18111yescharacteristic
535C22×C4C22×D18111yescharacteristic
536C22×C4C22×D18111yescharacteristic
537C22×C4C22×D18111yescharacteristic
538C22×C4C22×D18111yescharacteristic
539C4⋊C4—1811no—
540C4⋊C4—1812no—
541C4⋊C4—1811no—
542C4⋊C4—1811no—
543C4⋊C4—1812no—
544C4⋊C4—1812no—
545C4⋊C4—1811no—
546C4⋊C4—1811no—
547C4⋊C4—1812no—
548C4⋊C4—1811no—
549C4⋊C4—1811no—
550C4⋊C4—1812no—
551C4⋊C4—1812no—
552C4⋊C4—1812no—
553C4⋊C4—1811no—
554C4⋊C4—1812no—
555C4⋊C4C22×D18111yescharacteristic
556C4⋊C4C22×D18111yescharacteristic
557C4⋊C4C22×D18112yes—
558C22⋊C4—1811no—
559C22⋊C4—1812no—
560C22⋊C4—1812no—
561C22⋊C4—1812no—
562C22⋊C4—1812no—
563C22⋊C4—1811no—
564C22⋊C4—1812no—
565C22⋊C4—1811no—
566C22⋊C4—1812no—
567C22⋊C4—1811no—
568C22⋊C4—1812no—
569C22⋊C4—1811no—
570C22⋊C4—1812no—
571C22⋊C4—1811no—
572C22⋊C4—1812no—
573C22⋊C4—1811no—
574C22⋊C4—1812no—
575C22⋊C4—1812no—
576C22⋊C4—1811no—
577C22⋊C4—1811no—
578C22⋊C4—1812no—
579C22⋊C4—1812no—
580C22⋊C4—1812no—
581C22⋊C4—1812no—
582C22⋊C4—1811no—
583C22⋊C4C22×D18112yes—
584C22⋊C4C22×D18112yes—
585C22⋊C4C22×D18112yes—
586C22⋊C4C22×D18112yes—
587C42—1812no—
588C42—1812no—
589C42—1811no—
590C42—1811no—
591C42—1812no—
592C23—22no—
593C23—24no—
594C23—41no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—1811no—
599C23—1812no—
600C23—1811no—
601C23—7242no—
602C23—7242no—
603C23—7242no—
604C23C23×D18112yes—
605C23C23×D18111yescharacteristic
606C23C23×D18111yescharacteristic
607C23C23×D18112yes—
608C23C23×D18111yescharacteristic
609Q8—3622no—
610Q8—7241no—
611Q8—7242no—
612D4—22no—
613D4—22no—
614D4—42no—
615D4—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—3622no—
620D4—3624no—
621D4—3622no—
622D4—3622no—
623D4—7241no—
624D4—7242no—
625D4—7242no—
626D4—7242no—
627D4—7242no—
628D4—7241no—
629D4—7241no—
630D4—7242no—
631D4—7242no—
632D4—7241no—
633D4—7242no—
634D4—7242no—
635D4—7242no—
636D4—7241no—
637C2×C4—24no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—3622no—
645C2×C4—3622no—
646C2×C4—1811no—
647C2×C4—1812no—
648C2×C4—1811no—
649C2×C4—1811no—
650C2×C4—1811no—
651C2×C4—1812no—
652C2×C4—1812no—
653C2×C4—1811no—
654C2×C4—1811no—
655C2×C4—7242no—
656C2×C4—7242no—
657C2×C4—7242no—
658C2×C4—7242no—
659C2×C4—7242no—
660C2×C4—7242no—
661C2×C4C23×D18111yescharacteristic
662C2×C4C23×D18112yes—
663C2×C4C23×D18111yescharacteristic
664C2×C4C23×D18111yescharacteristic
665C2×C4C23×D18112yes—
666C2×C4C23×D18111yescharacteristic
667C22—21no—
668C22—21no—
669C22—22no—
670C22—21no—
671C22—21no—
672C22—22no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—21no—
679C22—21no—
680C22—22no—
681C22—44no—
682C22—84no—
683C22—3621no—
684C22—3622no—
685C22—3621no—
686C22—3621no—
687C22—3621no—
688C22—3621no—
689C22—3622no—
690C22—3622no—
691C22—3621no—
692C22—14484no—
693C22#1915386112yes—
694C22C24×D18111yescharacteristic
695C4—21no—
696C4—21no—
697C4—21no—
698C4—22no—
699C4—22no—
700C4—3621no—
701C4—3622no—
702C4—3621no—
703C4—3621no—
704C4—3621no—
705C4—3621no—
706C4—3622no—
707C4—3621no—
708C4—3622no—
709C4#1915386112yes—
710C2—22no—
711C2—41no—
712C2—41no—
713C2—42no—
714C2—42no—
715C2—7241no—
716C2—7242no—
717C2—7241no—
718C2C2×#1915386111yescharacteristic
719C2C2×#1915386111yescharacteristic
720C2#2604211511yescharacteristic
subgroupG/H
center, FrattiniC22C24×D181
commutator, socle, cosocleC22×C181C25
FittingC2×#121×C181C2
hypercenterC2×#121D181
hypocenterC181#3542
LCSG ▷ C22×C181 ▷ C181
UCSC1 ◁ C22 ◁ C2×#121

Complements

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

NH ≅ G/Ntype
1. #26042024C2semidirect
2. #26042017C2semidirect
3. #26041993C2semidirect
4. #26041976C2semidirect
5. #26041964C2semidirect
6. #26041955C2semidirect
7. #26041947C2semidirect
8. #26041930C2semidirect
9. #26041926C2semidirect
10. #26041923C2semidirect
11. #26041919C2semidirect
12. D4×C22⋊D181C2semidirect
13. #26041896C2semidirect
14. #26041882C2semidirect
15. #26041879C2semidirect
16. #26041861C2semidirect
17. #26041858C2semidirect
18. #26041846C2semidirect
19. #26041845C2semidirect
20. #26041838C2semidirect
21. #26041790C2semidirect
22. #26041790C2semidirect
23. C2×#121×C181C2semidirect
24. C2×#15668449C22semidirect
25. C2×#15668449C22semidirect
26. C2×#15668449C22semidirect
27. C2×#15668448C22semidirect
29. C2×D4×D181C22semidirect
30. #19153815C22semidirect
31. #19153812C22semidirect
32. #19153812C22semidirect
33. #19153812C22semidirect
34. #19153811C22semidirect
35. #19153809C22semidirect
36. #19153809C22semidirect
37. #19153807C22semidirect
38. #19153806C22semidirect
39. #19153803C22semidirect
40. #19153803C22semidirect
41. #19153803C22semidirect
42. #19153802C22semidirect
43. #19153802C22semidirect
44. #19153801C22semidirect
45. #19153800C22semidirect
47. #19153799C22semidirect
48. #19153799C22semidirect
49. #19153799C22semidirect
50. #19153799C22semidirect
51. #19153798C22semidirect
52. #19153798C22semidirect
53. #19153797C22semidirect
54. #19153797C22semidirect
55. #19153797C22semidirect
56. #19153796C22semidirect
57. #19153795C22semidirect
58. #19153795C22semidirect
59. #19153795C22semidirect
60. #19153795C22semidirect
61. #19153794C22semidirect
62. #19153793C22semidirect
63. #19153793C22semidirect
64. #19153791C22semidirect
67. #19153790C22semidirect
68. #19153790C22semidirect
69. #19153789C22semidirect
70. #19153789C22semidirect
71. #19153788C22semidirect
72. #19153788C22semidirect
73. #19153788C22semidirect
74. #19153788C22semidirect
75. #19153788C22semidirect
76. #19153788C22semidirect
77. #19153787C22semidirect
78. #19153787C22semidirect
79. #19153787C22semidirect
80. #19153787C22semidirect
81. #19153787C22semidirect
82. #19153787C22semidirect
83. #19153786C22semidirect
86. #19153785C22semidirect
87. #19153785C22semidirect
88. #19153785C22semidirect
89. #19153784C22semidirect
90. #19153784C22semidirect
91. #19153784C22semidirect
92. #19153781C22semidirect
93. D4×Dic181C22semidirect
94. D4×Dic181C22semidirect
95. #19153778C22semidirect
97. C4×C22⋊D181C22semidirect
98. C4×C22⋊D181C22semidirect
99. C4×C22⋊D181C22semidirect
100. C4×C22⋊D181C22semidirect
101. C4×C22⋊D181C22semidirect
102. #19153776C22semidirect
103. #19153776C22semidirect
104. #19153775C22semidirect
105. #19153775C22semidirect
106. #19153775C22semidirect
107. #19153774C22semidirect
108. #19153772C22semidirect
109. C4⋊C4×D181C22semidirect
110. C2×C22⋊Dic181C22semidirect
111. C22⋊C4×D181C22semidirect
113. C22×D4×C181C22semidirect
114. C23×C4×C181C22semidirect
117. #121×C181C22semidirect
118. #121×C181C22semidirect
119. #121×C181C22semidirect
120. #121×C181C22semidirect
121. C2×C4⋊C4×C181C22semidirect
122. C2×C22⋊C4×C181C22semidirect
360. C181#3542semidirect
384. C2×#121D181semidirect
392. C22×D4C2×D181semidirect
393. C23×C4C2×D181semidirect
449. #121C2×D181semidirect
450. #121C2×D181semidirect
451. #121C2×D181semidirect
452. #121C2×D181semidirect
480. C2×C4⋊C4C2×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
#260420242
#260420172
#260419932
#260419762
#260419642
#260419552
#260419472
#260419302
#260419262
#260419232
#260419192
D4×C22⋊D1812
#260418962
#260418822
#260418792
#260418612
#260418582
#260418462
#260418452
#260418382
#260417902
C2×#121×C1812
#3542181