Finite Group Databasebeta

← #34114166

Subgroups — #34114166

Order 20096.

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#23757987C211yesmaximal, characteristic, complemented
2#23757979C211yesmaximal, characteristic, complemented
3#23757976C211yesmaximal, characteristic, complemented
4#23757970C211yesmaximal, characteristic, complemented
5#23757968C212yesmaximal, complemented
6#23757943C211yesmaximal, characteristic, complemented
7#23757920C212yesmaximal, complemented
8#23757915C212yesmaximal, complemented
9#23757912C212yesmaximal, complemented
10#23757908C211yesmaximal, characteristic, complemented
11#23757907C211yesmaximal, characteristic, complemented
12#23757907C211yesmaximal, characteristic, complemented
13#23757874C211yesmaximal, characteristic, complemented
14#23757859C212yesmaximal, complemented
15#23757855C212yesmaximal, complemented
16#23757820C211yesmaximal, characteristic, complemented
17#23757801C211yesmaximal, characteristic, complemented
18#23757781C212yesmaximal, complemented
19#121×D157C212yesmaximal, complemented
20#23757747C211yesmaximal, characteristic, complemented
21#23757745C211yesmaximal, characteristic, complemented
22C4×D4×D157C211yesmaximal, characteristic, complemented
23#540×C157C211yesmaximal, characteristic, complemented
24C2×#14578954C2212yescomplemented
25C2×#14578953C2212yescomplemented
26C22×D628C2211yescharacteristic
27C2×D4×D157C2211yescharacteristic
28C2×D4×D157C2211yescharacteristic
29C2×D4×D157C2212yescomplemented
30C2×D4×D157C2212yescomplemented
31C2×D4×D157C2212yescomplemented
32C22×C4×D157C2212yescomplemented
33#19097770C2211yescharacteristic, complemented
34#19097767C2211yescharacteristic, complemented
35#19097767C2211yescharacteristic, complemented
36#19097766C2212yescomplemented
37#19097766C2211yescharacteristic, complemented
38#19097764C2211yescharacteristic, complemented
39#19097764C2212yescomplemented
40#19097762C2211yescharacteristic, complemented
41#19097761C2211yescharacteristic, complemented
42#19097758C2212yescomplemented
43#19097757C2212yescomplemented
44#19097757C2212yescomplemented
45#19097757C2211yescharacteristic, complemented
46#19097756C2212yescomplemented
47#19097756C2211yescharacteristic, complemented
48#19097754C2212yescomplemented
49#19097753C2212yescomplemented
50#19097753C2211yescharacteristic, complemented
51#19097752C2212yescomplemented
52#19097751C2212yescomplemented
53#19097749C2212yescomplemented
54#19097749C2212yescomplemented
55#19097749C2211yescharacteristic, complemented
56#19097746C2211yescharacteristic, complemented
57#19097746C2211yescharacteristic, complemented
58#19097746C2212yescomplemented
59#19097745C2212yescomplemented
60#19097744C2211yescharacteristic
61#19097744C2212yescomplemented
62#19097744C2212yescomplemented
63#19097744C2212yescomplemented
64#19097744C2212yescomplemented
65#19097743C2212yescomplemented
66#19097743C2212yescomplemented
67#19097743C2212yescomplemented
68#19097742C2212yescomplemented
69#19097742C2212yescomplemented
70#19097742C2211yescharacteristic, complemented
71#19097742C2211yescharacteristic, complemented
72#19097742C2212yescomplemented
73#19097741C2212yescomplemented
74#19097741C2212yescomplemented
75#19097739C2212yescomplemented
76#19097739C2212yescomplemented
77#19097739C2212yescomplemented
78#19097739C2212yescomplemented
79C4×Dic314C2211yescharacteristic, complemented
80C4×D628C2211yescharacteristic
81C4×D628C2211yescharacteristic
82C4×D628C2211yescharacteristic, complemented
83C4×D628C2211yescharacteristic, complemented
84C4×D628C2211yescharacteristic, complemented
85D4×Dic157C2211yescharacteristic, complemented
86D4×Dic157C2211yescharacteristic, complemented
87#19097733C2211yescharacteristic
88#19097733C2211yescharacteristic
89#19097733C2212yescomplemented
90#19097733C2212yescomplemented
91#19097733C2212yescomplemented
92C4×C22⋊D157C2212yescomplemented
93C4×C22⋊D157C2211yescharacteristic, complemented
94C4×C22⋊D157C2211yescharacteristic, complemented
95C4×C22⋊D157C2212yescomplemented
96C4×C22⋊D157C2212yescomplemented
97#19097731C2212yescomplemented
98#19097731C2212yescomplemented
99#19097731C2212yescomplemented
100#19097730C2211yescharacteristic, complemented
101#19097729C2211yescharacteristic, complemented
102#19097728C2211yescharacteristic, complemented
103#19097727C2212yescomplemented
104C4⋊C4×D157C2212yescomplemented
105C4⋊C4×D157C2211yescharacteristic, complemented
106C2×#14578931C2212yescomplemented
107C22⋊C4×D157C2212yescomplemented
108C22⋊C4×D157C2212yescomplemented
109C22⋊C4×D157C2212yescomplemented
110C22⋊C4×D157C2212yescomplemented
111C42×D157C2211yescharacteristic, complemented
112#127×C157C2211yescharacteristic, complemented
113#125×C157C2211yescharacteristic, complemented
114#123×C157C2212yescomplemented
115#123×C157C2212yescomplemented
116#121×C157C2212yescomplemented
117#121×C157C2211yescharacteristic, complemented
118#121×C157C2211yescharacteristic, complemented
119#121×C157C2212yescomplemented
120C4×D4×C157C2211yescharacteristic, complemented
121C4×D4×C157C2211yescharacteristic, complemented
122#117×C157C2211yescharacteristic, complemented
123C23×D157C2312yes—
124C23×D157C2312yes—
125C23×D157C2312yes—
126#14578954—44no—
127#14578953—44no—
128C2×Dic314C2311yescharacteristic
129C2×Dic314C2312yes—
130C2×D628—24no—
131C2×D628C2312yes—
132C2×D628C2312yes—
133C2×D628C2311yescharacteristic
134C2×D628C2311yescharacteristic
135C2×D628C2312yes—
136C2×D628C2311yescharacteristic
137C2×C22⋊D157C2312yes—
138C2×C22⋊D157C2312yes—
139C2×C22⋊D157C2312yes—
140C2×C22⋊D157C2311yescharacteristic
141C2×C22⋊D157C2311yescharacteristic
142C2×C22⋊D157C2312yes—
143C2×C22⋊D157C2312yes—
144C2×C22⋊D157C2312yes—
145C2×C22⋊D157C2312yes—
146C2×C22⋊D157C2312yes—
147D4×D157—24no—
148D4×D157—24no—
149D4×D157—44no—
150D4×D157—44no—
151D4×D157—44no—
152C22×Dic157C2312yes—
153C22×Dic157C2312yes—
154C2×C4×D157—44no—
155C2×C4×D157C2311yescharacteristic
156C2×C4×D157C2311yescharacteristic
157C2×C4×D157C2311yescharacteristic
158C2×C4×D157C2312yes—
159C2×C4×D157C2311yescharacteristic
160C2×C4×D157C2312yes—
161C2×C4×D157C2312yes—
162C2×C4×D157C2312yes—
163C2×C4×D157C2312yes—
164C2×C4×D157C2312yes—
165C2×C4×D157C2312yes—
166C4⋊Dic157C2311yescharacteristic
167C4⋊Dic157C2312yes—
168C4⋊Dic157C2311yescharacteristic
169C4⋊Dic157C2311yescharacteristic
170C4⋊Dic157C2311yescharacteristic
171#14578933C2311yescharacteristic
172#14578933C2312yes—
173#14578933C2312yes—
174#14578933C2311yescharacteristic
175#14578933C2311yescharacteristic
176#14578933C2311yescharacteristic
177#14578933C2312yes—
178#14578933C2311yescharacteristic
179#14578933C2311yescharacteristic
180C22⋊Dic157C2312yes—
181C22⋊Dic157C2312yes—
182C22⋊Dic157C2312yes—
183C22⋊Dic157C2312yes—
184C22⋊Dic157C2311yescharacteristic
185C22⋊Dic157C2311yescharacteristic
186C22⋊Dic157C2312yes—
187#14578931C2312yes—
188#14578931C2311yescharacteristic
189#14578931C2312yes—
190#14578931C2312yes—
191#14578931C2312yes—
192#14578931C2312yes—
193#14578931C2312yes—
194#14578931C2311yescharacteristic
195#14578931C2312yes—
196#14578931C2311yescharacteristic
197#14578931C2312yes—
198#14578931C2311yescharacteristic
199#14578931C2311yescharacteristic
200#14578931C2312yes—
201#14578931C2311yescharacteristic
202C4×Dic157C2311yescharacteristic
203C4×Dic157C2311yescharacteristic
204C4×Dic157C2311yescharacteristic
205C4×Dic157C2312yes—
206C4×Dic157C2312yes—
207C4×Dic157C2311yescharacteristic
208C2×D4×C157C2311yescharacteristic
209C2×D4×C157C2311yescharacteristic
210C2×D4×C157C2312yes—
211C2×D4×C157C2312yes—
212C2×D4×C157C2312yes—
213C2×D4×C157C2312yes—
214C22×C4×C157C2311yescharacteristic
215C22×C4×C157C2312yes—
216C22×C4×C157C2312yes—
217C4⋊C4×C157C2311yescharacteristic
218C4⋊C4×C157C2311yescharacteristic
219C4⋊C4×C157C2311yescharacteristic
220C4⋊C4×C157C2311yescharacteristic
221C4⋊C4×C157C2312yes—
222C4⋊C4×C157C2312yes—
223C22⋊C4×C157C2311yescharacteristic
224C22⋊C4×C157C2311yescharacteristic
225C22⋊C4×C157C2312yes—
226C22⋊C4×C157C2312yes—
227C22⋊C4×C157C2312yes—
228C22⋊C4×C157C2312yes—
229C42×C157C2311yescharacteristic
230C42×C157C2311yescharacteristic
231C22×D157—24no—
232C22×D157—24no—
233C22×D157—24no—
234C22×D157—24no—
235C22×D157—42no—
236C22×D157—42no—
237C22×D157—42no—
238C22×D157—42no—
239C22×D157—42no—
240C22×D157C2412yes—
241C22×D157C2411yescharacteristic
242C22×D157C2412yes—
243C22×D157C2411yescharacteristic
244Dic314—22no—
245Dic314—42no—
246D628—24no—
247D628—22no—
248D628—24no—
249D628—22no—
250D628—42no—
251D628#4114yescomplemented
252C22⋊D157—24no—
253C22⋊D157—24no—
254C22⋊D157—22no—
255C22⋊D157—24no—
256C22⋊D157—22no—
257C22⋊D157—24no—
258C22⋊D157—42no—
259C22⋊D157—42no—
260C22⋊D157—42no—
261C22⋊D157—42no—
262C2×Dic157—24no—
263C2×Dic157—42no—
264C2×Dic157C2412yes—
265C2×Dic157C2411yescharacteristic
266C2×Dic157C2412yes—
267C2×Dic157C2411yescharacteristic
268C2×Dic157C2411yescharacteristic
269C2×Dic157C2411yescharacteristic
270C2×Dic157C2411yescharacteristic
271C2×Dic157C2411yescharacteristic
272C4×D157—22no—
273C4×D157—22no—
274C4×D157—22no—
275C4×D157—22no—
276C4×D157—24no—
277C4×D157—42no—
278C4×D157—42no—
279C4×D157—42no—
280C4×D157—42no—
281C4×D157—42no—
282C4×D157—42no—
283C23×C157C2412yes—
284C23×C157C2412yes—
285C23×C157C2411yescharacteristic
286D4×C157—22no—
287D4×C157—22no—
288D4×C157—42no—
289D4×C157—42no—
290D4×C157—42no—
291D4×C157—42no—
292C2×C4×C157—22no—
293C2×C4×C157—42no—
294C2×C4×C157—42no—
295C2×C4×C157C2411yescharacteristic
296C2×C4×C157C2411yescharacteristic
297C2×C4×C157C2411yescharacteristic
298C2×C4×C157C2412yes—
299C2×C4×C157C2411yescharacteristic
300C2×C4×C157C2412yes—
301C2×C4×C157C2411yescharacteristic
302C2×C4×C157C2411yescharacteristic
303C22×C157—21no—
304C22×C157—22no—
305C22×C157—22no—
306C22×C157—22no—
307C22×C157—22no—
308C22×C157—22no—
309C22×C157—21no—
310C22×C157—21no—
311C22×C157—22no—
312C22×C157C2511yescharacteristic
313C2×D157—21no—
314C2×D157—21no—
315C2×D157—22no—
316C2×D157—22no—
317C2×D157—21no—
318C2×D157—22no—
319C2×D157—22no—
320C2×D157—22no—
321C2×D157—21no—
322C2×D157—21no—
323C2×D157—48no—
324C2×D157—84no—
325C2×D157—84no—
326C2×D157C2×#4114yes—
327C2×D157H(5,𝔽2)12yes—
328C4×C157—21no—
329C4×C157—21no—
330C4×C157—21no—
331C4×C157—22no—
332C4×C157—22no—
333C4×C157—21no—
334C4×C157—21no—
335C4×C157C2×#4112yes—
336Dic157—21no—
337Dic157—21no—
338Dic157—21no—
339Dic157—22no—
340Dic157—21no—
341Dic157—22no—
342Dic157—21no—
343Dic157H(5,𝔽2)12yes—
344C2×C157—42no—
345C2×C157—41no—
346C2×C157—42no—
347C2×C157C22×#4111yescharacteristic
348C2×C157C2×H(5,𝔽2)11yescharacteristic
349C2×C157C2×H(5,𝔽2)11yescharacteristic
350D157—22no—
351D157—24no—
352D157—42no—
353D157—41no—
354C157#351911yescharacteristic, complemented, Sylow
355#3519—1571nomaximal, Sylow
356#555—1571no—
357#554—1571no—
358#553—1571no—
359#553—1572no—
360#553—1571no—
361#550—1571no—
362#546—1572no—
363#546—1572no—
364#546—1572no—
365D42—1571no—
366D42—1571no—
367D42—1571no—
368#540—1571no—
369#540D15711yescharacteristic, complemented
370#538—1572no—
371#538—1572no—
372#532—1571no—
373#529—1571no—
374#525—1572no—
375C2×#121—1572no—
376#518—1571no—
377#518—1571no—
378C2×C4×D4—1571no—
379C2×#41—1572no—
380C2×#41—1572no—
381C22×D4—1571no—
382C22×D4—1571no—
383C22×D4—1572no—
384C22×D4—1572no—
385C22×D4—1572no—
386C22×D4—1571no—
387C23×C4—1572no—
388C4⋊Q8—1571no—
389#127—1571no—
390#127—1571no—
391#127C2×D15711yescharacteristic, complemented
392#126—1571no—
393#126—1572no—
394#126—1571no—
395#126—1572no—
396#125—1571no—
397#125—1571no—
398#125C2×D15711yescharacteristic, complemented
399#124—1572no—
400#124—1571no—
401#124—1572no—
402#124—1572no—
403#123—1572no—
404#123—1572no—
405#123—1571no—
406#123—1572no—
407#123—1571no—
408#123—1572no—
409#123C2×D15712yescomplemented
410#123C2×D15712yescomplemented
411C22⋊Q8—1571no—
412C22⋊Q8—1572no—
413C22⋊Q8—1572no—
414C22⋊Q8—1572no—
415#121—1572no—
416#121—1572no—
417#121—1572no—
418#121—1571no—
419#121—1572no—
420#121—1572no—
421#121—1572no—
422#121—1571no—
423#121—1572no—
424#121—1572no—
425#121—1571no—
426#121—1571no—
427#121—1571no—
428#121—1572no—
429#121—1572no—
430#121—1572no—
431#121—1572no—
432#121C2×D15712yescomplemented
433#121C2×D15711yescharacteristic, complemented
434#121C2×D15711yescharacteristic, complemented
435#121C2×D15712yescomplemented
436#120—1572no—
437#120—1572no—
438#120—1572no—
439#120—1572no—
440#120—1572no—
441#120—1572no—
442C4×Q8—1571no—
443C4×D4—1571no—
444C4×D4—1571no—
445C4×D4—1572no—
446C4×D4—1572no—
447C4×D4—1571no—
448C4×D4—1571no—
449C4×D4—1572no—
450C4×D4—1571no—
451C4×D4—1572no—
452C4×D4—1571no—
453C4×D4—1572no—
454C4×D4—1572no—
455C4×D4—1572no—
456C4×D4—1572no—
457C4×D4—1572no—
458C4×D4—1571no—
459C4×D4—1571no—
460C4×D4—1571no—
461C4×D4—1571no—
462C4×D4—1571no—
463C4×D4C2×D15711yescharacteristic, complemented
464C4×D4C2×D15711yescharacteristic, complemented
465#117—1571no—
466#117—1571no—
467#117—1572no—
468#117—1571no—
469#117C2×D15711yescharacteristic, complemented
470C2×C4⋊C4—1571no—
471C2×C4⋊C4—1572no—
472C2×C22⋊C4—1572no—
473C2×C22⋊C4—1572no—
474C2×C22⋊C4—1572no—
475C2×C22⋊C4—1572no—
476C2×C22⋊C4—1572no—
477C2×C42—1571no—
478C24—1572no—
479C24—1572no—
480C24—1572no—
481#41—6284no—
482#41—6284no—
483C2×Q8—1571no—
484C2×Q8—1572no—
485C2×D4—3144no—
486C2×D4—3144no—
487C2×D4—3144no—
488C2×D4—6284no—
489C2×D4—6284no—
490C2×D4—6284no—
491C2×D4—1572no—
492C2×D4—1572no—
493C2×D4—1572no—
494C2×D4—1571no—
495C2×D4—1571no—
496C2×D4—1572no—
497C2×D4—1572no—
498C2×D4—1572no—
499C2×D4—1572no—
500C2×D4—1572no—
501C2×D4—1572no—
502C2×D4—1571no—
503C2×D4—1572no—
504C2×D4—1571no—
505C2×D4—1572no—
506C2×D4—1571no—
507C2×D4C22×D15711yescharacteristic
508C2×D4C22×D15711yescharacteristic
509C2×D4C22×D15712yes—
510C2×D4C22×D15712yes—
511C2×D4C22×D15712yes—
512C2×D4C22×D15712yes—
513C22×C4—6284no—
514C22×C4—1572no—
515C22×C4—1571no—
516C22×C4—1571no—
517C22×C4—1571no—
518C22×C4—1572no—
519C22×C4—1571no—
520C22×C4—1572no—
521C22×C4—1572no—
522C22×C4—1572no—
523C22×C4—1572no—
524C22×C4—1572no—
525C22×C4—1572no—
526C22×C4—1572no—
527C22×C4C22×D15711yescharacteristic
528C22×C4C22×D15712yes—
529C22×C4C22×D15712yes—
530C4⋊C4—1571no—
531C4⋊C4—1571no—
532C4⋊C4—1572no—
533C4⋊C4—1572no—
534C4⋊C4—1572no—
535C4⋊C4—1571no—
536C4⋊C4—1571no—
537C4⋊C4—1571no—
538C4⋊C4—1571no—
539C4⋊C4—1571no—
540C4⋊C4—1571no—
541C4⋊C4—1572no—
542C4⋊C4—1571no—
543C4⋊C4—1571no—
544C4⋊C4C22×D15711yescharacteristic
545C4⋊C4C22×D15712yes—
546C4⋊C4C22×D15711yescharacteristic
547C4⋊C4C22×D15711yescharacteristic
548C4⋊C4C22×D15711yescharacteristic
549C4⋊C4C22×D15712yes—
550C22⋊C4—1572no—
551C22⋊C4—1572no—
552C22⋊C4—1572no—
553C22⋊C4—1572no—
554C22⋊C4—1571no—
555C22⋊C4—1571no—
556C22⋊C4—1572no—
557C22⋊C4—1572no—
558C22⋊C4—1571no—
559C22⋊C4—1572no—
560C22⋊C4—1571no—
561C22⋊C4—1572no—
562C22⋊C4—1572no—
563C22⋊C4—1572no—
564C22⋊C4—1572no—
565C22⋊C4—1572no—
566C22⋊C4—1571no—
567C22⋊C4—1571no—
568C22⋊C4—1571no—
569C22⋊C4—1571no—
570C22⋊C4—1572no—
571C22⋊C4—1572no—
572C22⋊C4C22×D15711yescharacteristic
573C22⋊C4C22×D15711yescharacteristic
574C22⋊C4C22×D15712yes—
575C22⋊C4C22×D15712yes—
576C22⋊C4C22×D15712yes—
577C22⋊C4C22×D15712yes—
578C42—1571no—
579C42—1571no—
580C42—1571no—
581C42—1572no—
582C42—1572no—
583C42—1571no—
584C42C22×D15711yescharacteristic
585C42C22×D15711yescharacteristic
586C23—3144no—
587C23—3144no—
588C23—3144no—
589C23—3144no—
590C23—6282no—
591C23—6282no—
592C23—6282no—
593C23—6282no—
594C23—6282no—
595C23—1571no—
596C23—1572no—
597C23—1572no—
598C23—1571no—
599C23C23×D15711yescharacteristic
600C23C23×D15712yes—
601C23C23×D15712yes—
602Q8—3142no—
603Q8—6282no—
604D4—22no—
605D4—22no—
606D4—42no—
607D4—42no—
608D4—42no—
609D4—42no—
610D4—3144no—
611D4—3142no—
612D4—3144no—
613D4—3144no—
614D4—3144no—
615D4—3142no—
616D4—3144no—
617D4—3142no—
618D4—3144no—
619D4—3142no—
620D4—6282no—
621D4—6282no—
622D4—6282no—
623D4—6282no—
624D4—6282no—
625D4—1574no—
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—3142no—
630C2×C4—3142no—
631C2×C4—3144no—
632C2×C4—3144no—
633C2×C4—3142no—
634C2×C4—3142no—
635C2×C4—6282no—
636C2×C4—6282no—
637C2×C4—6282no—
638C2×C4—6282no—
639C2×C4—6282no—
640C2×C4—6282no—
641C2×C4—6282no—
642C2×C4—1571no—
643C2×C4—1571no—
644C2×C4—1572no—
645C2×C4—1571no—
646C2×C4—1572no—
647C2×C4—1571no—
648C2×C4—1571no—
649C2×C4—1571no—
650C2×C4C23×D15711yescharacteristic
651C2×C4C23×D15711yescharacteristic
652C2×C4C23×D15711yescharacteristic
653C2×C4C23×D15712yes—
654C2×C4C23×D15711yescharacteristic
655C2×C4C23×D15711yescharacteristic
656C2×C4C23×D15712yes—
657C2×C4C23×D15711yescharacteristic
658C22—21no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—21no—
665C22—21no—
666C22—22no—
667C22—3141no—
668C22—3141no—
669C22—3142no—
670C22—3142no—
671C22—3141no—
672C22—3142no—
673C22—3142no—
674C22—3142no—
675C22—3141no—
676C22—3141no—
677C22—6288no—
678C22—1574no—
679C22—1572no—
680C22—12564no—
681C22—12564no—
682C22C24×D15711yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—22no—
687C4—22no—
688C4—21no—
689C4—21no—
690C4—3141no—
691C4—3141no—
692C4—3142no—
693C4—3141no—
694C4—3141no—
695C4—3142no—
696C4—3141no—
697C4—1572no—
698C4#41×D15712yes—
699C2—42no—
700C2—41no—
701C2—42no—
702C2—3142no—
703C2—3144no—
704C2—6281no—
705C2—6282no—
706C2C2×#41×D15711yescharacteristic
707C2H(5,𝔽2)×D15711yescharacteristic
708C2H(5,𝔽2)×D15711yescharacteristic
subgroupG/H
center, FrattiniC22C24×D157
commutator, socle, cosocleC22×C157C25
Fitting#540×C157C2
hypercenter#540D157
hypocenterC157#3519
LCSG ▷ C22×C157 ▷ C157
UCSC1 ◁ C22 ◁ #540

Complements

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

NH ≅ G/Ntype
1. #23757987C2semidirect
2. #23757979C2semidirect
3. #23757976C2semidirect
4. #23757970C2semidirect
5. #23757968C2semidirect
6. #23757943C2semidirect
7. #23757920C2semidirect
8. #23757915C2semidirect
9. #23757912C2semidirect
10. #23757908C2semidirect
11. #23757907C2semidirect
12. #23757907C2semidirect
13. #23757874C2semidirect
14. #23757859C2semidirect
15. #23757855C2semidirect
16. #23757820C2semidirect
17. #23757801C2semidirect
18. #23757781C2semidirect
19. #121×D157C2semidirect
20. #23757747C2semidirect
21. #23757745C2semidirect
22. C4×D4×D157C2semidirect
23. #540×C157C2semidirect
24. C2×#14578954C22semidirect
25. C2×#14578953C22semidirect
29. C2×D4×D157C22semidirect
30. C2×D4×D157C22semidirect
31. C2×D4×D157C22semidirect
32. C22×C4×D157C22semidirect
33. #19097770C22semidirect
34. #19097767C22semidirect
35. #19097767C22semidirect
36. #19097766C22semidirect
37. #19097766C22semidirect
38. #19097764C22semidirect
39. #19097764C22semidirect
40. #19097762C22semidirect
41. #19097761C22semidirect
42. #19097758C22semidirect
43. #19097757C22semidirect
44. #19097757C22semidirect
45. #19097757C22semidirect
46. #19097756C22semidirect
47. #19097756C22semidirect
48. #19097754C22semidirect
49. #19097753C22semidirect
50. #19097753C22semidirect
51. #19097752C22semidirect
52. #19097751C22semidirect
53. #19097749C22semidirect
54. #19097749C22semidirect
55. #19097749C22semidirect
56. #19097746C22semidirect
57. #19097746C22semidirect
58. #19097746C22semidirect
59. #19097745C22semidirect
61. #19097744C22semidirect
62. #19097744C22semidirect
63. #19097744C22semidirect
64. #19097744C22semidirect
65. #19097743C22semidirect
66. #19097743C22semidirect
67. #19097743C22semidirect
68. #19097742C22semidirect
69. #19097742C22semidirect
70. #19097742C22semidirect
71. #19097742C22semidirect
72. #19097742C22semidirect
73. #19097741C22semidirect
74. #19097741C22semidirect
75. #19097739C22semidirect
76. #19097739C22semidirect
77. #19097739C22semidirect
78. #19097739C22semidirect
79. C4×Dic314C22semidirect
82. C4×D628C22semidirect
83. C4×D628C22semidirect
84. C4×D628C22semidirect
85. D4×Dic157C22semidirect
86. D4×Dic157C22semidirect
89. #19097733C22semidirect
90. #19097733C22semidirect
91. #19097733C22semidirect
92. C4×C22⋊D157C22semidirect
93. C4×C22⋊D157C22semidirect
94. C4×C22⋊D157C22semidirect
95. C4×C22⋊D157C22semidirect
96. C4×C22⋊D157C22semidirect
97. #19097731C22semidirect
98. #19097731C22semidirect
99. #19097731C22semidirect
100. #19097730C22semidirect
101. #19097729C22semidirect
102. #19097728C22semidirect
103. #19097727C22semidirect
104. C4⋊C4×D157C22semidirect
105. C4⋊C4×D157C22semidirect
106. C2×#14578931C22semidirect
107. C22⋊C4×D157C22semidirect
108. C22⋊C4×D157C22semidirect
109. C22⋊C4×D157C22semidirect
110. C22⋊C4×D157C22semidirect
111. C42×D157C22semidirect
112. #127×C157C22semidirect
113. #125×C157C22semidirect
114. #123×C157C22semidirect
115. #123×C157C22semidirect
116. #121×C157C22semidirect
117. #121×C157C22semidirect
118. #121×C157C22semidirect
119. #121×C157C22semidirect
120. C4×D4×C157C22semidirect
121. C4×D4×C157C22semidirect
122. #117×C157C22semidirect
251. D628#41semidirect
354. C157#3519semidirect
369. #540D157semidirect
391. #127C2×D157semidirect
398. #125C2×D157semidirect
409. #123C2×D157semidirect
410. #123C2×D157semidirect
432. #121C2×D157semidirect
433. #121C2×D157semidirect
434. #121C2×D157semidirect
435. #121C2×D157semidirect
463. C4×D4C2×D157semidirect
464. C4×D4C2×D157semidirect
469. #117C2×D157semidirect

Maximal subgroups

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

subgroupindex
#237579872
#237579792
#237579762
#237579702
#237579682
#237579432
#237579202
#237579152
#237579122
#237579082
#237579072
#237578742
#237578592
#237578552
#237578202
#237578012
#237577812
#121×D1572
#237577472
#237577452
C4×D4×D1572
#540×C1572
#3519157