Finite Group Databasebeta

← #34113740

Subgroups — #34113740

Order 20096.

1242 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23758006C211yesmaximal, characteristic, complemented
2#23757982C211yesmaximal, characteristic, complemented
3#23757978C211yesmaximal, characteristic, complemented
4#23757973C211yesmaximal, characteristic, complemented
5#23757972C212yesmaximal, complemented
6#23757971C211yesmaximal, characteristic, complemented
7#23757952C212yesmaximal, complemented
8#23757949C212yesmaximal, complemented
9#23757918C211yesmaximal, characteristic, complemented
10#23757917C211yesmaximal, characteristic, complemented
11#23757913C212yesmaximal, complemented
12D4×C22⋊D157C211yesmaximal, characteristic, complemented
13#23757820C211yesmaximal, characteristic, complemented
14#23757807C211yesmaximal, characteristic, complemented
15#23757805C211yesmaximal, characteristic, complemented
16#23757803C212yesmaximal, complemented
17#23757784C212yesmaximal, complemented
18#23757782C212yesmaximal, complemented
19C4×#14578954C211yesmaximal, characteristic, complemented
20C4×#14578953C211yesmaximal, characteristic, complemented
21C2×C4×C22⋊D157C212yesmaximal, complemented
22C4×D4×D157C211yesmaximal, characteristic, complemented
23C2×C4×D4×C157C211yesmaximal, characteristic, complemented
24C2×#14578954C2211yescharacteristic
25C2×#14578954C2212yescomplemented
26C2×#14578953C2211yescharacteristic
27C22×C22⋊D157C2212yes—
28C2×D4×D157C2211yescharacteristic
29C22×C4×D157C2212yescomplemented
30#19097770C2211yescharacteristic, complemented
31#19097767C2211yescharacteristic
32#19097766C2212yescomplemented
33#19097765C2212yescomplemented
34#19097764C2212yescomplemented
35#19097764C2212yescomplemented
36#19097763C2211yescharacteristic, complemented
37#19097762C2211yescharacteristic, complemented
38#19097761C2212yescomplemented
39#19097759C2211yescharacteristic, complemented
40#19097758C2211yescharacteristic, complemented
41#19097757C2212yescomplemented
42#19097757C2212yescomplemented
43#19097756C2212yescomplemented
44#19097755C2212yescomplemented
45#19097754C2212yescomplemented
46#19097754C2212yescomplemented
47#19097754C2212yescomplemented
48#19097753C2212yescomplemented
49#19097753C2212yescomplemented
50#19097752C2212yescomplemented
51#19097751C2211yescharacteristic, complemented
52#19097750C2211yescharacteristic, complemented
53#19097750C2212yescomplemented
54#19097750C2212yescomplemented
55#19097749C2212yescomplemented
56#19097748C2212yescomplemented
57#19097748C2212yescomplemented
58#19097746C2211yescharacteristic, complemented
59#19097745C2211yescharacteristic
60#19097745C2212yescomplemented
61#19097745C2212yescomplemented
62#19097744C2212yescomplemented
63#19097744C2212yescomplemented
64#19097743C2212yes—
65#19097743C2212yescomplemented
66#19097742C2211yescharacteristic
67#19097742C2211yescharacteristic, complemented
68#19097741C2212yescomplemented
69#19097740C2212yes—
70#19097740C2212yescomplemented
71#19097739C2212yes—
72C4×Dic314C2211yescharacteristic, complemented
73C4×Dic314C2211yescharacteristic, complemented
74C4×Dic314C2211yescharacteristic, complemented
75#19097736C2211yescharacteristic, complemented
76C4×D628C2211yescharacteristic, complemented
77C4×D628C2211yescharacteristic, complemented
78C4×D628C2211yescharacteristic, complemented
79D4×Dic157C2211yescharacteristic
80D4×Dic157C2211yescharacteristic
81#19097733C2211yescharacteristic, complemented
82C4×C22⋊D157C2211yescharacteristic
83C4×C22⋊D157C2212yes—
84C4×C22⋊D157C2211yescharacteristic
85C4×C22⋊D157C2211yescharacteristic, complemented
86C4×C22⋊D157C2212yescomplemented
87C4×C22⋊D157C2212yescomplemented
88C4×C22⋊D157C2212yescomplemented
89C4×C22⋊D157C2212yescomplemented
90C4×C22⋊D157C2212yescomplemented
91C4×C22⋊D157C2212yescomplemented
92C4×C22⋊D157C2212yescomplemented
93C4×C22⋊D157C2212yescomplemented
94C4×C22⋊D157C2211yescharacteristic, complemented
95#19097731C2212yescomplemented
96#19097731C2212yescomplemented
97#19097730C2211yescharacteristic, complemented
98#19097730C2212yescomplemented
99#19097729C2211yescharacteristic, complemented
100#19097728C2211yescharacteristic, complemented
101#19097728C2211yescharacteristic, complemented
102#19097728C2212yescomplemented
103#19097727C2212yescomplemented
104C2×#14578933C2212yescomplemented
105C4⋊C4×D157C2211yescharacteristic, complemented
106C2×C22⋊Dic157C2212yescomplemented
107C2×#14578931C2212yescomplemented
108C22⋊C4×D157C2212yescomplemented
109C2×C4×Dic157C2212yescomplemented
110C42×D157C2211yescharacteristic, complemented
111C42×D157C2211yescharacteristic, complemented
112C22×D4×C157C2211yescharacteristic
113C23×C4×C157C2212yescomplemented
114C4×D4×C157C2211yescharacteristic
115C4×D4×C157C2211yescharacteristic
116C4×D4×C157C2212yescomplemented
117C4×D4×C157C2211yescharacteristic, complemented
118C4×D4×C157C2212yescomplemented
119C4×D4×C157C2211yescharacteristic, complemented
120C2×C4⋊C4×C157C2211yescharacteristic, complemented
121C2×C22⋊C4×C157C2212yescomplemented
122C2×C42×C157C2211yescharacteristic, complemented
123C23×D157C2312yes—
124#14578954—24no—
125#14578954—44no—
126#14578953—24no—
127C2×Dic314C2311yescharacteristic
128C2×Dic314C2311yescharacteristic
129C2×Dic314C2312yes—
130C2×D628C2311yescharacteristic
131C2×D628C2311yescharacteristic
132C2×D628C2312yes—
133C2×C22⋊D157—28no—
134C2×C22⋊D157C2312yes—
135C2×C22⋊D157C2312yes—
136C2×C22⋊D157C2312yes—
137C2×C22⋊D157C2312yes—
138C2×C22⋊D157C2311yescharacteristic
139C2×C22⋊D157C2312yes—
140C2×C22⋊D157C2312yes—
141C2×C22⋊D157C2312yes—
142C2×C22⋊D157C2311yescharacteristic
143D4×D157—24no—
144C22×Dic157C2312yes—
145C22×Dic157C2312yes—
146C22×Dic157C2312yes—
147C2×C4×D157—44no—
148C2×C4×D157C2311yescharacteristic
149C2×C4×D157C2311yescharacteristic
150C2×C4×D157C2311yescharacteristic
151C2×C4×D157C2311yescharacteristic
152C2×C4×D157C2311yescharacteristic
153C2×C4×D157C2311yescharacteristic
154C2×C4×D157C2312yes—
155C2×C4×D157C2312yes—
156C2×C4×D157C2312yes—
157C4⋊Dic157C2311yescharacteristic
158C4⋊Dic157C2311yescharacteristic
159C4⋊Dic157C2311yescharacteristic
160C4⋊Dic157C2311yescharacteristic
161C4⋊Dic157C2312yes—
162C4⋊Dic157C2312yes—
163#14578933C2312yes—
164#14578933C2311yescharacteristic
165#14578933C2312yes—
166#14578933C2312yes—
167#14578933C2312yes—
168#14578933C2312yes—
169#14578933C2312yes—
170#14578933C2311yescharacteristic
171#14578933C2311yescharacteristic
172#14578933C2311yescharacteristic
173#14578933C2312yes—
174#14578933C2312yes—
175C22⋊Dic157C2312yes—
176C22⋊Dic157C2311yescharacteristic
177C22⋊Dic157C2312yes—
178C22⋊Dic157C2312yes—
179C22⋊Dic157C2312yes—
180C22⋊Dic157C2312yes—
181C22⋊Dic157C2311yescharacteristic
182C22⋊Dic157C2312yes—
183C22⋊Dic157C2312yes—
184#14578931C2312yes—
185#14578931C2312yes—
186#14578931C2311yescharacteristic
187#14578931C2312yes—
188#14578931C2312yes—
189#14578931C2312yes—
190#14578931C2311yescharacteristic
191#14578931C2311yescharacteristic
192#14578931C2311yescharacteristic
193#14578931C2312yes—
194#14578931C2312yes—
195#14578931C2312yes—
196C4×Dic157C2311yescharacteristic
197C4×Dic157C2311yescharacteristic
198C4×Dic157C2311yescharacteristic
199C4×Dic157C2311yescharacteristic
200C4×Dic157C2311yescharacteristic
201C4×Dic157C2311yescharacteristic
202C4×Dic157C2312yes—
203C4×Dic157C2312yes—
204C4×Dic157C2312yes—
205C24×C157C2312yes—
206C2×D4×C157—24no—
207C2×D4×C157C2312yes—
208C2×D4×C157C2311yescharacteristic
209C2×D4×C157C2311yescharacteristic
210C22×C4×C157—44no—
211C22×C4×C157C2311yescharacteristic
212C22×C4×C157C2311yescharacteristic
213C22×C4×C157C2311yescharacteristic
214C22×C4×C157C2312yes—
215C22×C4×C157C2312yes—
216C22×C4×C157C2312yes—
217C22×C4×C157C2312yes—
218C22×C4×C157C2312yes—
219C4⋊C4×C157C2311yescharacteristic
220C4⋊C4×C157C2311yescharacteristic
221C4⋊C4×C157C2312yes—
222C22⋊C4×C157C2312yes—
223C22⋊C4×C157C2312yes—
224C22⋊C4×C157C2312yes—
225C22⋊C4×C157C2312yes—
226C42×C157C2311yescharacteristic
227C42×C157C2311yescharacteristic
228C42×C157C2311yescharacteristic
229C42×C157C2311yescharacteristic
230C22×D157—24no—
231C22×D157—24no—
232C22×D157—42no—
233C22×D157C2411yescharacteristic
234C22×D157C2412yes—
235C22×D157C2411yescharacteristic
236Dic314—22no—
237Dic314—22no—
238Dic314—42no—
239D628—22no—
240D628—22no—
241D628—42no—
242C22⋊D157—24no—
243C22⋊D157—24no—
244C22⋊D157—24no—
245C22⋊D157—22no—
246C22⋊D157—24no—
247C22⋊D157—24no—
248C22⋊D157—42no—
249C22⋊D157—42no—
250C22⋊D157#4114yescomplemented
251C2×Dic157—24no—
252C2×Dic157—24no—
253C2×Dic157—42no—
254C2×Dic157C2411yescharacteristic
255C2×Dic157C2412yes—
256C2×Dic157C2411yescharacteristic
257C2×Dic157C2411yescharacteristic
258C2×Dic157C2411yescharacteristic
259C2×Dic157C2411yescharacteristic
260C2×Dic157C2412yes—
261C2×Dic157C2412yes—
262C2×Dic157C2411yescharacteristic
263C4×D157—22no—
264C4×D157—22no—
265C4×D157—22no—
266C4×D157—22no—
267C4×D157—24no—
268C4×D157—22no—
269C4×D157—22no—
270C4×D157—42no—
271C4×D157—42no—
272C23×C157—24no—
273C23×C157—24no—
274C23×C157—42no—
275C23×C157C2412yes—
276C23×C157C2412yes—
277C23×C157C2411yescharacteristic
278D4×C157—24no—
279D4×C157—22no—
280D4×C157#4114yescomplemented
281C2×C4×C157—22no—
282C2×C4×C157—22no—
283C2×C4×C157—24no—
284C2×C4×C157—24no—
285C2×C4×C157—22no—
286C2×C4×C157—42no—
287C2×C4×C157—42no—
288C2×C4×C157—42no—
289C2×C4×C157C2411yescharacteristic
290C2×C4×C157C2412yes—
291C2×C4×C157C2411yescharacteristic
292C2×C4×C157C2412yes—
293C2×C4×C157C2411yescharacteristic
294C2×C4×C157C2411yescharacteristic
295C2×C4×C157C2411yescharacteristic
296C2×C4×C157C2411yescharacteristic
297C22×C157—21no—
298C22×C157—22no—
299C22×C157—21no—
300C22×C157—22no—
301C22×C157—22no—
302C22×C157—22no—
303C22×C157—22no—
304C22×C157—48no—
305C22×C157C2×#4112yes—
306C22×C157C2×#4114yes—
307C22×C157C2511yescharacteristic
308C2×D157—21no—
309C2×D157—21no—
310C2×D157—21no—
311C2×D157—21no—
312C2×D157—22no—
313C2×D157—22no—
314C2×D157—22no—
315C2×D157—21no—
316C2×D157—48no—
317C2×D157C2×#4112yes—
318C4×C157—21no—
319C4×C157—21no—
320C4×C157—21no—
321C4×C157—21no—
322C4×C157—22no—
323C4×C157—22no—
324C4×C157C2×#4112yes—
325C4×C157H(5,𝔽2)12yes—
326Dic157—21no—
327Dic157—21no—
328Dic157—21no—
329Dic157—22no—
330Dic157—22no—
331Dic157—21no—
332Dic157—22no—
333Dic157—21no—
334Dic157C2×#4112yes—
335C2×C157—24no—
336C2×C157—22no—
337C2×C157—42no—
338C2×C157C22×#4111yescharacteristic
339C2×C157C22×#4111yescharacteristic
340C2×C157C2×H(5,𝔽2)11yescharacteristic
341D157—22no—
342D157—41no—
343D157—42no—
344C157#348111yescharacteristic, complemented, Sylow
345#3481—1571nomaximal, Sylow
346#559—1571no—
347#554—1571no—
348#554—1571no—
349#553—1572no—
350#553—1571no—
351#553—1571no—
352#551—1572no—
353#551—1572no—
354#546—1571no—
355#546—1571no—
356#546—1572no—
357D42—1571no—
358#532—1571no—
359#529—1572no—
360#529—1571no—
361#529—1571no—
362#525—1572no—
363#525—1572no—
364C4×#41—1571no—
365C4×#41—1571no—
366C2×C4×D4—1572no—
367C2×C4×D4—1571no—
368C2×C4×D4D15711yescharacteristic, complemented
369C2×#41—1571no—
370C2×#41—1571no—
371C2×#41—1572no—
372C22×D4—1572no—
373C22×D4—1571no—
374C22×D4C2×D15711yescharacteristic
375C23×C4—1572no—
376C23×C4C2×D15712yescomplemented
377C4⋊Q8—1571no—
378#127—1571no—
379#126—1572no—
380#126—1572no—
381#126—1572no—
382#126—1572no—
383#125—1572no—
384#125—1571no—
385#125—1571no—
386#124—1571no—
387#124—1572no—
388#124—1572no—
389#124—1571no—
390#123—1572no—
391#123—1572no—
392#123—1572no—
393#123—1572no—
394#123—1572no—
395#123—1572no—
396#123—1572no—
397#123—1572no—
398C22⋊Q8—1572no—
399C22⋊Q8—1572no—
400C22⋊Q8—1571no—
401C22⋊Q8—1572no—
402C22⋊Q8—1571no—
403C22⋊Q8—1572no—
404C22⋊Q8—1572no—
405#121—1572no—
406#121—1571no—
407#121—1572no—
408#121—1571no—
409#121—1572no—
410#121—1572no—
411#121—1571no—
412#121—1571no—
413#121—1572no—
414#121—1572no—
415#120—1572no—
416#120—1572no—
417#120—1572no—
418#120—1572no—
419C4×Q8—1571no—
420C4×Q8—1571no—
421C4×Q8—1571no—
422C4×Q8—1571no—
423C4×D4—1571no—
424C4×D4—1571no—
425C4×D4—1571no—
426C4×D4—1572no—
427C4×D4—1572no—
428C4×D4—1572no—
429C4×D4—1572no—
430C4×D4—1572no—
431C4×D4—1572no—
432C4×D4—1572no—
433C4×D4—1572no—
434C4×D4—1572no—
435C4×D4—1571no—
436C4×D4—1571no—
437C4×D4—1571no—
438C4×D4—1571no—
439C4×D4—1572no—
440C4×D4—1572no—
441C4×D4—1571no—
442C4×D4—1571no—
443C4×D4—1571no—
444C4×D4C2×D15711yescharacteristic
445C4×D4C2×D15711yescharacteristic
446C4×D4C2×D15712yescomplemented
447C4×D4C2×D15711yescharacteristic, complemented
448C4×D4C2×D15712yescomplemented
449C4×D4C2×D15711yescharacteristic, complemented
450#117—1571no—
451#117—1572no—
452#117—1571no—
453#117—1572no—
454#117—1571no—
455#117—1571no—
456#117—1572no—
457C2×C4⋊C4—1572no—
458C2×C4⋊C4—1571no—
459C2×C4⋊C4C2×D15711yescharacteristic, complemented
460C2×C22⋊C4—1572no—
461C2×C22⋊C4—1572no—
462C2×C22⋊C4—1572no—
463C2×C22⋊C4C2×D15712yescomplemented
464C2×C42—1572no—
465C2×C42—1571no—
466C2×C42—1571no—
467C2×C42C2×D15711yescharacteristic, complemented
468C24—1572no—
469C24C22×D15712yes—
470#41—3144no—
471#41—3144no—
472#41—6284no—
473C2×Q8—1571no—
474C2×Q8—1571no—
475C2×Q8—1572no—
476C2×D4—24no—
477C2×D4—3148no—
478C2×D4—3144no—
479C2×D4—1571no—
480C2×D4—1572no—
481C2×D4—1572no—
482C2×D4—1572no—
483C2×D4—1572no—
484C2×D4—1572no—
485C2×D4—1572no—
486C2×D4—1572no—
487C2×D4—1571no—
488C2×D4—1571no—
489C2×D4—1571no—
490C2×D4—1572no—
491C2×D4C22×D15712yes—
492C2×D4C22×D15711yescharacteristic
493C2×D4C22×D15711yescharacteristic
494C22×C4—44no—
495C22×C4—6284no—
496C22×C4—1572no—
497C22×C4—1572no—
498C22×C4—1571no—
499C22×C4—1571no—
500C22×C4—1571no—
501C22×C4—1571no—
502C22×C4—1571no—
503C22×C4—1571no—
504C22×C4—1572no—
505C22×C4—1572no—
506C22×C4—1572no—
507C22×C4—1572no—
508C22×C4C22×D15711yescharacteristic
509C22×C4C22×D15711yescharacteristic
510C22×C4C22×D15712yes—
511C22×C4C22×D15711yescharacteristic
512C22×C4C22×D15712yes—
513C22×C4C22×D15712yes—
514C22×C4C22×D15712yes—
515C22×C4C22×D15712yes—
516C4⋊C4—1571no—
517C4⋊C4—1572no—
518C4⋊C4—1571no—
519C4⋊C4—1572no—
520C4⋊C4—1572no—
521C4⋊C4—1572no—
522C4⋊C4—1571no—
523C4⋊C4—1571no—
524C4⋊C4—1572no—
525C4⋊C4—1571no—
526C4⋊C4—1571no—
527C4⋊C4—1571no—
528C4⋊C4—1572no—
529C4⋊C4—1571no—
530C4⋊C4—1572no—
531C4⋊C4—1572no—
532C4⋊C4—1572no—
533C4⋊C4—1572no—
534C4⋊C4C22×D15711yescharacteristic
535C4⋊C4C22×D15711yescharacteristic
536C4⋊C4C22×D15712yes—
537C22⋊C4—1571no—
538C22⋊C4—1572no—
539C22⋊C4—1572no—
540C22⋊C4—1572no—
541C22⋊C4—1572no—
542C22⋊C4—1571no—
543C22⋊C4—1572no—
544C22⋊C4—1572no—
545C22⋊C4—1572no—
546C22⋊C4—1571no—
547C22⋊C4—1572no—
548C22⋊C4—1572no—
549C22⋊C4—1572no—
550C22⋊C4—1572no—
551C22⋊C4—1572no—
552C22⋊C4—1571no—
553C22⋊C4—1572no—
554C22⋊C4—1571no—
555C22⋊C4—1571no—
556C22⋊C4—1572no—
557C22⋊C4—1572no—
558C22⋊C4C22×D15712yes—
559C22⋊C4C22×D15712yes—
560C22⋊C4C22×D15712yes—
561C22⋊C4C22×D15712yes—
562C42—1571no—
563C42—1572no—
564C42—1571no—
565C42—1571no—
566C42—1572no—
567C42—1571no—
568C42—1571no—
569C42—1572no—
570C42—1571no—
571C42C22×D15711yescharacteristic
572C42C22×D15711yescharacteristic
573C42C22×D15711yescharacteristic
574C42C22×D15711yescharacteristic
575C23—24no—
576C23—24no—
577C23—42no—
578C23—3144no—
579C23—3144no—
580C23—6282no—
581C23—1572no—
582C23—1571no—
583C23—1571no—
584C23C23×D15712yes—
585C23C23×D15711yescharacteristic
586C23C23×D15712yes—
587Q8—3142no—
588Q8—3142no—
589Q8—6282no—
590D4—24no—
591D4—22no—
592D4—3142no—
593D4—3144no—
594D4—3144no—
595D4—3142no—
596D4—3144no—
597D4—3144no—
598D4—3144no—
599D4—3142no—
600D4—6282no—
601D4—6282no—
602D4—6282no—
603D4—1574no—
604D4#1457895414yescomplemented
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—3142no—
614C2×C4—3142no—
615C2×C4—3144no—
616C2×C4—3144no—
617C2×C4—3142no—
618C2×C4—3142no—
619C2×C4—3142no—
620C2×C4—3144no—
621C2×C4—3142no—
622C2×C4—6282no—
623C2×C4—6282no—
624C2×C4—6282no—
625C2×C4—1571no—
626C2×C4—1571no—
627C2×C4—1572no—
628C2×C4—1572no—
629C2×C4—1571no—
630C2×C4—1571no—
631C2×C4—1571no—
632C2×C4—1572no—
633C2×C4—1571no—
634C2×C4C23×D15711yescharacteristic
635C2×C4C23×D15712yes—
636C2×C4C23×D15711yescharacteristic
637C2×C4C23×D15711yescharacteristic
638C2×C4C23×D15711yescharacteristic
639C2×C4C23×D15712yes—
640C2×C4C23×D15711yescharacteristic
641C2×C4C23×D15711yescharacteristic
642C22—22no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—48no—
650C22—3141no—
651C22—3141no—
652C22—3141no—
653C22—3142no—
654C22—3141no—
655C22—3142no—
656C22—3142no—
657C22—3141no—
658C22—6288no—
659C22—1572no—
660C22#41×D15712yes—
661C22C2×#1457895414yes—
662C22C24×D15711yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—3142no—
670C4—3141no—
671C4—3141no—
672C4—3141no—
673C4—3142no—
674C4—3141no—
675C4—3142no—
676C4—3141no—
677C4—1572no—
678C4C2×#1457895412yes—
679C4#1909781612yes—
680C2—22no—
681C2—24no—
682C2—42no—
683C2—3142no—
684C2—6282no—
685C2—6281no—
686C2C2×#41×D15711yescharacteristic
687C2C22×#1457895411yescharacteristic
688C2C2×#1909781611yescharacteristic
subgroupG/H
centerC2×C4C23×D157
commutator, socle, cosocleC22×C157C25
FrattiniC22C24×D157
FittingC2×C4×D4×C157C2
hypercenterC2×C4×D4D157
hypocenterC157#3481
LCSG ▷ C22×C157 ▷ C157
UCSC1 ◁ C2×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. #23758006C2semidirect
2. #23757982C2semidirect
3. #23757978C2semidirect
4. #23757973C2semidirect
5. #23757972C2semidirect
6. #23757971C2semidirect
7. #23757952C2semidirect
8. #23757949C2semidirect
9. #23757918C2semidirect
10. #23757917C2semidirect
11. #23757913C2semidirect
12. D4×C22⋊D157C2semidirect
13. #23757820C2semidirect
14. #23757807C2semidirect
15. #23757805C2semidirect
16. #23757803C2semidirect
17. #23757784C2semidirect
18. #23757782C2semidirect
19. C4×#14578954C2semidirect
20. C4×#14578953C2semidirect
21. C2×C4×C22⋊D157C2semidirect
22. C4×D4×D157C2semidirect
23. C2×C4×D4×C157C2semidirect
25. C2×#14578954C22semidirect
29. C22×C4×D157C22semidirect
30. #19097770C22semidirect
32. #19097766C22semidirect
33. #19097765C22semidirect
34. #19097764C22semidirect
35. #19097764C22semidirect
36. #19097763C22semidirect
37. #19097762C22semidirect
38. #19097761C22semidirect
39. #19097759C22semidirect
40. #19097758C22semidirect
41. #19097757C22semidirect
42. #19097757C22semidirect
43. #19097756C22semidirect
44. #19097755C22semidirect
45. #19097754C22semidirect
46. #19097754C22semidirect
47. #19097754C22semidirect
48. #19097753C22semidirect
49. #19097753C22semidirect
50. #19097752C22semidirect
51. #19097751C22semidirect
52. #19097750C22semidirect
53. #19097750C22semidirect
54. #19097750C22semidirect
55. #19097749C22semidirect
56. #19097748C22semidirect
57. #19097748C22semidirect
58. #19097746C22semidirect
60. #19097745C22semidirect
61. #19097745C22semidirect
62. #19097744C22semidirect
63. #19097744C22semidirect
65. #19097743C22semidirect
67. #19097742C22semidirect
68. #19097741C22semidirect
70. #19097740C22semidirect
72. C4×Dic314C22semidirect
73. C4×Dic314C22semidirect
74. C4×Dic314C22semidirect
75. #19097736C22semidirect
76. C4×D628C22semidirect
77. C4×D628C22semidirect
78. C4×D628C22semidirect
81. #19097733C22semidirect
85. C4×C22⋊D157C22semidirect
86. C4×C22⋊D157C22semidirect
87. C4×C22⋊D157C22semidirect
88. C4×C22⋊D157C22semidirect
89. C4×C22⋊D157C22semidirect
90. C4×C22⋊D157C22semidirect
91. C4×C22⋊D157C22semidirect
92. C4×C22⋊D157C22semidirect
93. C4×C22⋊D157C22semidirect
94. C4×C22⋊D157C22semidirect
95. #19097731C22semidirect
96. #19097731C22semidirect
97. #19097730C22semidirect
98. #19097730C22semidirect
99. #19097729C22semidirect
100. #19097728C22semidirect
101. #19097728C22semidirect
102. #19097728C22semidirect
103. #19097727C22semidirect
104. C2×#14578933C22semidirect
105. C4⋊C4×D157C22semidirect
106. C2×C22⋊Dic157C22semidirect
107. C2×#14578931C22semidirect
108. C22⋊C4×D157C22semidirect
109. C2×C4×Dic157C22semidirect
110. C42×D157C22semidirect
111. C42×D157C22semidirect
113. C23×C4×C157C22semidirect
116. C4×D4×C157C22semidirect
117. C4×D4×C157C22semidirect
118. C4×D4×C157C22semidirect
119. C4×D4×C157C22semidirect
120. C2×C4⋊C4×C157C22semidirect
121. C2×C22⋊C4×C157C22semidirect
122. C2×C42×C157C22semidirect
250. C22⋊D157#41semidirect
280. D4×C157#41semidirect
344. C157#3481semidirect
368. C2×C4×D4D157semidirect
376. C23×C4C2×D157semidirect
446. C4×D4C2×D157semidirect
447. C4×D4C2×D157semidirect
448. C4×D4C2×D157semidirect
449. C4×D4C2×D157semidirect
459. C2×C4⋊C4C2×D157semidirect
463. C2×C22⋊C4C2×D157semidirect
467. C2×C42C2×D157semidirect
604. D4#14578954semidirect

Maximal subgroups

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

subgroupindex
#237580062
#237579822
#237579782
#237579732
#237579722
#237579712
#237579522
#237579492
#237579182
#237579172
#237579132
D4×C22⋊D1572
#237578202
#237578072
#237578052
#237578032
#237577842
#237577822
C4×#145789542
C4×#145789532
C2×C4×C22⋊D1572
C4×D4×D1572
C2×C4×D4×C1572
#3481157