Finite Group Databasebeta

← #28404604

Subgroups — #28404604

Order 14464.

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#20299312C211yesmaximal, characteristic, complemented
2#20299304C211yesmaximal, characteristic, complemented
3#20299301C211yesmaximal, characteristic, complemented
4#20299295C211yesmaximal, characteristic, complemented
5#20299293C212yesmaximal, complemented
6#20299268C211yesmaximal, characteristic, complemented
7#20299245C212yesmaximal, complemented
8#20299240C212yesmaximal, complemented
9#20299237C212yesmaximal, complemented
10#20299233C211yesmaximal, characteristic, complemented
11#20299232C211yesmaximal, characteristic, complemented
12#20299232C211yesmaximal, characteristic, complemented
13#20299199C211yesmaximal, characteristic, complemented
14#20299184C212yesmaximal, complemented
15#20299180C212yesmaximal, complemented
16#20299145C211yesmaximal, characteristic, complemented
17#20299126C211yesmaximal, characteristic, complemented
18#20299106C212yesmaximal, complemented
19#121×D113C212yesmaximal, complemented
20#20299072C211yesmaximal, characteristic, complemented
21#20299070C211yesmaximal, characteristic, complemented
22C4×D4×D113C211yesmaximal, characteristic, complemented
23#540×C113C211yesmaximal, characteristic, complemented
24C2×#14268647C2212yescomplemented
25C2×#14268646C2212yescomplemented
26C22×D452C2211yescharacteristic
27C2×D4×D113C2211yescharacteristic
28C2×D4×D113C2211yescharacteristic
29C2×D4×D113C2212yescomplemented
30C2×D4×D113C2212yescomplemented
31C2×D4×D113C2212yescomplemented
32C22×C4×D113C2212yescomplemented
33#16813621C2211yescharacteristic, complemented
34#16813618C2211yescharacteristic, complemented
35#16813618C2211yescharacteristic, complemented
36#16813617C2212yescomplemented
37#16813617C2211yescharacteristic, complemented
38#16813615C2212yescomplemented
39#16813615C2211yescharacteristic, complemented
40#16813613C2211yescharacteristic, complemented
41#16813612C2211yescharacteristic, complemented
42#16813609C2212yescomplemented
43#16813608C2212yescomplemented
44#16813608C2211yescharacteristic, complemented
45#16813608C2212yescomplemented
46#16813607C2212yescomplemented
47#16813607C2211yescharacteristic, complemented
48#16813605C2212yescomplemented
49#16813604C2212yescomplemented
50#16813604C2211yescharacteristic, complemented
51#16813603C2212yescomplemented
52#16813602C2212yescomplemented
53#16813600C2212yescomplemented
54#16813600C2212yescomplemented
55#16813600C2211yescharacteristic, complemented
56#16813597C2212yescomplemented
57#16813597C2211yescharacteristic, complemented
58#16813597C2211yescharacteristic, complemented
59#16813596C2212yescomplemented
60#16813595C2211yescharacteristic
61#16813595C2212yescomplemented
62#16813595C2212yescomplemented
63#16813595C2212yescomplemented
64#16813595C2212yescomplemented
65#16813594C2212yescomplemented
66#16813594C2212yescomplemented
67#16813594C2212yescomplemented
68#16813593C2212yescomplemented
69#16813593C2212yescomplemented
70#16813593C2212yescomplemented
71#16813593C2211yescharacteristic, complemented
72#16813593C2211yescharacteristic, complemented
73#16813592C2212yescomplemented
74#16813592C2212yescomplemented
75#16813590C2212yescomplemented
76#16813590C2212yescomplemented
77#16813590C2212yescomplemented
78#16813590C2212yescomplemented
79C4×Dic226C2211yescharacteristic, complemented
80C4×D452C2211yescharacteristic
81C4×D452C2211yescharacteristic
82C4×D452C2211yescharacteristic, complemented
83C4×D452C2211yescharacteristic, complemented
84C4×D452C2211yescharacteristic, complemented
85D4×Dic113C2211yescharacteristic, complemented
86D4×Dic113C2211yescharacteristic, complemented
87#16813584C2211yescharacteristic
88#16813584C2211yescharacteristic
89#16813584C2212yescomplemented
90#16813584C2212yescomplemented
91#16813584C2212yescomplemented
92C4×C22⋊D113C2212yescomplemented
93C4×C22⋊D113C2212yescomplemented
94C4×C22⋊D113C2211yescharacteristic, complemented
95C4×C22⋊D113C2212yescomplemented
96C4×C22⋊D113C2211yescharacteristic, complemented
97#16813582C2212yescomplemented
98#16813582C2212yescomplemented
99#16813582C2212yescomplemented
100#16813581C2211yescharacteristic, complemented
101#16813580C2211yescharacteristic, complemented
102#16813579C2211yescharacteristic, complemented
103#16813578C2212yescomplemented
104C4⋊C4×D113C2212yescomplemented
105C4⋊C4×D113C2211yescharacteristic, complemented
106C2×#14268624C2212yescomplemented
107C22⋊C4×D113C2212yescomplemented
108C22⋊C4×D113C2212yescomplemented
109C22⋊C4×D113C2212yescomplemented
110C22⋊C4×D113C2212yescomplemented
111C42×D113C2211yescharacteristic, complemented
112#127×C113C2211yescharacteristic, complemented
113#125×C113C2211yescharacteristic, complemented
114#123×C113C2212yescomplemented
115#123×C113C2212yescomplemented
116#121×C113C2211yescharacteristic, complemented
117#121×C113C2211yescharacteristic, complemented
118#121×C113C2212yescomplemented
119#121×C113C2212yescomplemented
120C4×D4×C113C2211yescharacteristic, complemented
121C4×D4×C113C2211yescharacteristic, complemented
122#117×C113C2211yescharacteristic, complemented
123C23×D113C2312yes—
124C23×D113C2312yes—
125C23×D113C2312yes—
126#14268647—44no—
127#14268646—44no—
128C2×Dic226C2311yescharacteristic
129C2×Dic226C2312yes—
130C2×D452—24no—
131C2×D452C2312yes—
132C2×D452C2312yes—
133C2×D452C2311yescharacteristic
134C2×D452C2311yescharacteristic
135C2×D452C2312yes—
136C2×D452C2311yescharacteristic
137C2×C22⋊D113C2312yes—
138C2×C22⋊D113C2312yes—
139C2×C22⋊D113C2312yes—
140C2×C22⋊D113C2311yescharacteristic
141C2×C22⋊D113C2311yescharacteristic
142C2×C22⋊D113C2312yes—
143C2×C22⋊D113C2312yes—
144C2×C22⋊D113C2312yes—
145C2×C22⋊D113C2312yes—
146C2×C22⋊D113C2312yes—
147D4×D113—24no—
148D4×D113—24no—
149D4×D113—44no—
150D4×D113—44no—
151D4×D113—44no—
152C22×Dic113C2312yes—
153C22×Dic113C2312yes—
154C2×C4×D113—44no—
155C2×C4×D113C2311yescharacteristic
156C2×C4×D113C2311yescharacteristic
157C2×C4×D113C2311yescharacteristic
158C2×C4×D113C2312yes—
159C2×C4×D113C2311yescharacteristic
160C2×C4×D113C2312yes—
161C2×C4×D113C2312yes—
162C2×C4×D113C2312yes—
163C2×C4×D113C2312yes—
164C2×C4×D113C2312yes—
165C2×C4×D113C2312yes—
166C4⋊Dic113C2311yescharacteristic
167C4⋊Dic113C2312yes—
168C4⋊Dic113C2311yescharacteristic
169C4⋊Dic113C2311yescharacteristic
170C4⋊Dic113C2311yescharacteristic
171#14268626C2311yescharacteristic
172#14268626C2312yes—
173#14268626C2312yes—
174#14268626C2311yescharacteristic
175#14268626C2311yescharacteristic
176#14268626C2311yescharacteristic
177#14268626C2312yes—
178#14268626C2311yescharacteristic
179#14268626C2311yescharacteristic
180C22⋊Dic113C2312yes—
181C22⋊Dic113C2312yes—
182C22⋊Dic113C2312yes—
183C22⋊Dic113C2312yes—
184C22⋊Dic113C2311yescharacteristic
185C22⋊Dic113C2311yescharacteristic
186C22⋊Dic113C2312yes—
187#14268624C2312yes—
188#14268624C2311yescharacteristic
189#14268624C2312yes—
190#14268624C2312yes—
191#14268624C2312yes—
192#14268624C2312yes—
193#14268624C2312yes—
194#14268624C2311yescharacteristic
195#14268624C2312yes—
196#14268624C2311yescharacteristic
197#14268624C2312yes—
198#14268624C2311yescharacteristic
199#14268624C2311yescharacteristic
200#14268624C2312yes—
201#14268624C2311yescharacteristic
202C4×Dic113C2311yescharacteristic
203C4×Dic113C2311yescharacteristic
204C4×Dic113C2311yescharacteristic
205C4×Dic113C2312yes—
206C4×Dic113C2312yes—
207C4×Dic113C2311yescharacteristic
208C2×D4×C113C2311yescharacteristic
209C2×D4×C113C2311yescharacteristic
210C2×D4×C113C2312yes—
211C2×D4×C113C2312yes—
212C2×D4×C113C2312yes—
213C2×D4×C113C2312yes—
214C22×C4×C113C2311yescharacteristic
215C22×C4×C113C2312yes—
216C22×C4×C113C2312yes—
217C4⋊C4×C113C2311yescharacteristic
218C4⋊C4×C113C2312yes—
219C4⋊C4×C113C2311yescharacteristic
220C4⋊C4×C113C2311yescharacteristic
221C4⋊C4×C113C2311yescharacteristic
222C4⋊C4×C113C2312yes—
223C22⋊C4×C113C2311yescharacteristic
224C22⋊C4×C113C2311yescharacteristic
225C22⋊C4×C113C2312yes—
226C22⋊C4×C113C2312yes—
227C22⋊C4×C113C2312yes—
228C22⋊C4×C113C2312yes—
229C42×C113C2311yescharacteristic
230C42×C113C2311yescharacteristic
231C23×C113C2411yescharacteristic
232C23×C113C2412yes—
233C23×C113C2412yes—
234C22×D113—24no—
235C22×D113—24no—
236C22×D113—24no—
237C22×D113—24no—
238C22×D113—42no—
239C22×D113—42no—
240C22×D113—42no—
241C22×D113—42no—
242C22×D113—42no—
243C22×D113C2411yescharacteristic
244C22×D113C2412yes—
245C22×D113C2412yes—
246C22×D113C2411yescharacteristic
247D4×C113—22no—
248D4×C113—22no—
249D4×C113—42no—
250D4×C113—42no—
251D4×C113—42no—
252D4×C113—42no—
253C2×C4×C113—22no—
254C2×C4×C113—42no—
255C2×C4×C113—42no—
256C2×C4×C113C2411yescharacteristic
257C2×C4×C113C2411yescharacteristic
258C2×C4×C113C2411yescharacteristic
259C2×C4×C113C2411yescharacteristic
260C2×C4×C113C2411yescharacteristic
261C2×C4×C113C2412yes—
262C2×C4×C113C2412yes—
263C2×C4×C113C2411yescharacteristic
264C22⋊D113—24no—
265C22⋊D113—24no—
266C22⋊D113—22no—
267C22⋊D113—24no—
268C22⋊D113—22no—
269C22⋊D113—24no—
270C22⋊D113—42no—
271C22⋊D113—42no—
272C22⋊D113—42no—
273C22⋊D113—42no—
274C2×Dic113—24no—
275C2×Dic113—42no—
276C2×Dic113C2411yescharacteristic
277C2×Dic113C2411yescharacteristic
278C2×Dic113C2412yes—
279C2×Dic113C2411yescharacteristic
280C2×Dic113C2411yescharacteristic
281C2×Dic113C2412yes—
282C2×Dic113C2411yescharacteristic
283C2×Dic113C2411yescharacteristic
284D452—24no—
285D452—22no—
286D452—24no—
287D452—22no—
288D452—42no—
289D452#4114yescomplemented
290C4×D113—22no—
291C4×D113—22no—
292C4×D113—22no—
293C4×D113—22no—
294C4×D113—24no—
295C4×D113—42no—
296C4×D113—42no—
297C4×D113—42no—
298C4×D113—42no—
299C4×D113—42no—
300C4×D113—42no—
301Dic226—22no—
302Dic226—42no—
303C22×C113—22no—
304C22×C113—22no—
305C22×C113—21no—
306C22×C113—22no—
307C22×C113—22no—
308C22×C113—22no—
309C22×C113—21no—
310C22×C113—21no—
311C22×C113—22no—
312C22×C113C2511yescharacteristic
313C2×D113—21no—
314C2×D113—21no—
315C2×D113—22no—
316C2×D113—22no—
317C2×D113—21no—
318C2×D113—22no—
319C2×D113—22no—
320C2×D113—22no—
321C2×D113—21no—
322C2×D113—21no—
323C2×D113—48no—
324C2×D113—84no—
325C2×D113—84no—
326C2×D113C2×#4114yes—
327C2×D113H(5,𝔽2)12yes—
328C4×C113—21no—
329C4×C113—21no—
330C4×C113—22no—
331C4×C113—21no—
332C4×C113—21no—
333C4×C113—22no—
334C4×C113—21no—
335C4×C113C2×#4112yes—
336Dic113—21no—
337Dic113—21no—
338Dic113—21no—
339Dic113—21no—
340Dic113—22no—
341Dic113—22no—
342Dic113—21no—
343Dic113H(5,𝔽2)12yes—
344C2×C113—42no—
345C2×C113—41no—
346C2×C113—42no—
347C2×C113C22×#4111yescharacteristic
348C2×C113C2×H(5,𝔽2)11yescharacteristic
349C2×C113C2×H(5,𝔽2)11yescharacteristic
350D113—22no—
351D113—24no—
352D113—42no—
353D113—41no—
354#3519—1131nomaximal, Sylow
355C113#351911yescharacteristic, complemented, Sylow
356#555—1131no—
357#554—1131no—
358#553—1131no—
359#553—1132no—
360#553—1131no—
361#550—1131no—
362#546—1132no—
363#546—1132no—
364#546—1132no—
365D42—1131no—
366D42—1131no—
367D42—1131no—
368#540—1131no—
369#540D11311yescharacteristic, complemented
370#538—1132no—
371#538—1132no—
372#532—1131no—
373#529—1131no—
374#525—1132no—
375C2×#121—1132no—
376#518—1131no—
377#518—1131no—
378C2×C4×D4—1131no—
379C2×#41—1132no—
380C2×#41—1132no—
381C22×D4—1132no—
382C22×D4—1132no—
383C22×D4—1132no—
384C22×D4—1131no—
385C22×D4—1131no—
386C22×D4—1131no—
387C23×C4—1132no—
388C4⋊Q8—1131no—
389#127—1131no—
390#127—1131no—
391#127C2×D11311yescharacteristic, complemented
392#126—1131no—
393#126—1132no—
394#126—1131no—
395#126—1132no—
396#125—1131no—
397#125—1131no—
398#125C2×D11311yescharacteristic, complemented
399#124—1132no—
400#124—1131no—
401#124—1132no—
402#124—1132no—
403#123—1132no—
404#123—1132no—
405#123—1131no—
406#123—1132no—
407#123—1131no—
408#123—1132no—
409#123C2×D11312yescomplemented
410#123C2×D11312yescomplemented
411C22⋊Q8—1131no—
412C22⋊Q8—1132no—
413C22⋊Q8—1132no—
414C22⋊Q8—1132no—
415#121—1132no—
416#121—1132no—
417#121—1132no—
418#121—1131no—
419#121—1132no—
420#121—1132no—
421#121—1131no—
422#121—1132no—
423#121—1132no—
424#121—1132no—
425#121—1131no—
426#121—1131no—
427#121—1131no—
428#121—1132no—
429#121—1132no—
430#121—1132no—
431#121—1132no—
432#121C2×D11312yescomplemented
433#121C2×D11311yescharacteristic, complemented
434#121C2×D11311yescharacteristic, complemented
435#121C2×D11312yescomplemented
436#120—1132no—
437#120—1132no—
438#120—1132no—
439#120—1132no—
440#120—1132no—
441#120—1132no—
442C4×Q8—1131no—
443C4×D4—1131no—
444C4×D4—1131no—
445C4×D4—1132no—
446C4×D4—1132no—
447C4×D4—1131no—
448C4×D4—1131no—
449C4×D4—1132no—
450C4×D4—1131no—
451C4×D4—1132no—
452C4×D4—1131no—
453C4×D4—1132no—
454C4×D4—1132no—
455C4×D4—1132no—
456C4×D4—1132no—
457C4×D4—1132no—
458C4×D4—1131no—
459C4×D4—1131no—
460C4×D4—1131no—
461C4×D4—1131no—
462C4×D4—1131no—
463C4×D4C2×D11311yescharacteristic, complemented
464C4×D4C2×D11311yescharacteristic, complemented
465#117—1131no—
466#117—1131no—
467#117—1132no—
468#117—1131no—
469#117C2×D11311yescharacteristic, complemented
470C2×C4⋊C4—1131no—
471C2×C4⋊C4—1132no—
472C2×C22⋊C4—1132no—
473C2×C22⋊C4—1132no—
474C2×C22⋊C4—1132no—
475C2×C22⋊C4—1132no—
476C2×C22⋊C4—1132no—
477C2×C42—1131no—
478C24—1132no—
479C24—1132no—
480C24—1132no—
481#41—4524no—
482#41—4524no—
483C2×Q8—1132no—
484C2×Q8—1131no—
485C2×D4—1132no—
486C2×D4—1132no—
487C2×D4—1132no—
488C2×D4—1132no—
489C2×D4—1132no—
490C2×D4—1132no—
491C2×D4—1132no—
492C2×D4—1131no—
493C2×D4—1131no—
494C2×D4—1132no—
495C2×D4—1131no—
496C2×D4—1132no—
497C2×D4—1132no—
498C2×D4—1131no—
499C2×D4—1132no—
500C2×D4—1131no—
501C2×D4—4524no—
502C2×D4—4524no—
503C2×D4—4524no—
504C2×D4—2264no—
505C2×D4—2264no—
506C2×D4—2264no—
507C2×D4C22×D11311yescharacteristic
508C2×D4C22×D11311yescharacteristic
509C2×D4C22×D11312yes—
510C2×D4C22×D11312yes—
511C2×D4C22×D11312yes—
512C2×D4C22×D11312yes—
513C22×C4—1132no—
514C22×C4—1132no—
515C22×C4—1132no—
516C22×C4—1132no—
517C22×C4—1132no—
518C22×C4—1132no—
519C22×C4—1132no—
520C22×C4—1132no—
521C22×C4—1131no—
522C22×C4—1131no—
523C22×C4—1131no—
524C22×C4—1132no—
525C22×C4—1131no—
526C22×C4—4524no—
527C22×C4C22×D11311yescharacteristic
528C22×C4C22×D11312yes—
529C22×C4C22×D11312yes—
530C4⋊C4—1131no—
531C4⋊C4—1131no—
532C4⋊C4—1132no—
533C4⋊C4—1132no—
534C4⋊C4—1132no—
535C4⋊C4—1131no—
536C4⋊C4—1131no—
537C4⋊C4—1131no—
538C4⋊C4—1131no—
539C4⋊C4—1131no—
540C4⋊C4—1131no—
541C4⋊C4—1132no—
542C4⋊C4—1131no—
543C4⋊C4—1131no—
544C4⋊C4C22×D11311yescharacteristic
545C4⋊C4C22×D11312yes—
546C4⋊C4C22×D11311yescharacteristic
547C4⋊C4C22×D11311yescharacteristic
548C4⋊C4C22×D11311yescharacteristic
549C4⋊C4C22×D11312yes—
550C22⋊C4—1132no—
551C22⋊C4—1132no—
552C22⋊C4—1132no—
553C22⋊C4—1132no—
554C22⋊C4—1131no—
555C22⋊C4—1131no—
556C22⋊C4—1132no—
557C22⋊C4—1132no—
558C22⋊C4—1131no—
559C22⋊C4—1132no—
560C22⋊C4—1131no—
561C22⋊C4—1132no—
562C22⋊C4—1132no—
563C22⋊C4—1132no—
564C22⋊C4—1132no—
565C22⋊C4—1132no—
566C22⋊C4—1131no—
567C22⋊C4—1131no—
568C22⋊C4—1131no—
569C22⋊C4—1131no—
570C22⋊C4—1132no—
571C22⋊C4—1132no—
572C22⋊C4C22×D11311yescharacteristic
573C22⋊C4C22×D11311yescharacteristic
574C22⋊C4C22×D11312yes—
575C22⋊C4C22×D11312yes—
576C22⋊C4C22×D11312yes—
577C22⋊C4C22×D11312yes—
578C42—1131no—
579C42—1131no—
580C42—1131no—
581C42—1132no—
582C42—1132no—
583C42—1131no—
584C42C22×D11311yescharacteristic
585C42C22×D11311yescharacteristic
586C23—1132no—
587C23—1131no—
588C23—1131no—
589C23—1132no—
590C23—4522no—
591C23—4522no—
592C23—4522no—
593C23—4522no—
594C23—4522no—
595C23—2264no—
596C23—2264no—
597C23—2264no—
598C23—2264no—
599C23C23×D11311yescharacteristic
600C23C23×D11312yes—
601C23C23×D11312yes—
602Q8—4522no—
603Q8—2262no—
604D4—22no—
605D4—22no—
606D4—42no—
607D4—42no—
608D4—42no—
609D4—42no—
610D4—1134no—
611D4—4522no—
612D4—4522no—
613D4—4522no—
614D4—4522no—
615D4—4522no—
616D4—2262no—
617D4—2264no—
618D4—2264no—
619D4—2262no—
620D4—2264no—
621D4—2262no—
622D4—2264no—
623D4—2264no—
624D4—2264no—
625D4—2262no—
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—1131no—
630C2×C4—1131no—
631C2×C4—1131no—
632C2×C4—1132no—
633C2×C4—1131no—
634C2×C4—1131no—
635C2×C4—1132no—
636C2×C4—1131no—
637C2×C4—4522no—
638C2×C4—4522no—
639C2×C4—4522no—
640C2×C4—4522no—
641C2×C4—4522no—
642C2×C4—4522no—
643C2×C4—4522no—
644C2×C4—2262no—
645C2×C4—2264no—
646C2×C4—2262no—
647C2×C4—2264no—
648C2×C4—2262no—
649C2×C4—2262no—
650C2×C4C23×D11311yescharacteristic
651C2×C4C23×D11311yescharacteristic
652C2×C4C23×D11311yescharacteristic
653C2×C4C23×D11312yes—
654C2×C4C23×D11311yescharacteristic
655C2×C4C23×D11311yescharacteristic
656C2×C4C23×D11312yes—
657C2×C4C23×D11311yescharacteristic
658C22—21no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—21no—
666C22—21no—
667C22—1134no—
668C22—1132no—
669C22—9044no—
670C22—9044no—
671C22—4528no—
672C22—2261no—
673C22—2262no—
674C22—2262no—
675C22—2262no—
676C22—2261no—
677C22—2261no—
678C22—2261no—
679C22—2261no—
680C22—2262no—
681C22—2262no—
682C22C24×D11311yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—22no—
687C4—22no—
688C4—21no—
689C4—21no—
690C4—1132no—
691C4—2261no—
692C4—2261no—
693C4—2262no—
694C4—2261no—
695C4—2261no—
696C4—2262no—
697C4—2261no—
698C4#41×D11312yes—
699C2—41no—
700C2—42no—
701C2—42no—
702C2—4521no—
703C2—4522no—
704C2—2264no—
705C2—2262no—
706C2C2×#41×D11311yescharacteristic
707C2H(5,𝔽2)×D11311yescharacteristic
708C2H(5,𝔽2)×D11311yescharacteristic
subgroupG/H
center, FrattiniC22C24×D113
commutator, socle, cosocleC22×C113C25
Fitting#540×C113C2
hypercenter#540D113
hypocenterC113#3519
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C22 ◁ #540

Complements

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

NH ≅ G/Ntype
1. #20299312C2semidirect
2. #20299304C2semidirect
3. #20299301C2semidirect
4. #20299295C2semidirect
5. #20299293C2semidirect
6. #20299268C2semidirect
7. #20299245C2semidirect
8. #20299240C2semidirect
9. #20299237C2semidirect
10. #20299233C2semidirect
11. #20299232C2semidirect
12. #20299232C2semidirect
13. #20299199C2semidirect
14. #20299184C2semidirect
15. #20299180C2semidirect
16. #20299145C2semidirect
17. #20299126C2semidirect
18. #20299106C2semidirect
19. #121×D113C2semidirect
20. #20299072C2semidirect
21. #20299070C2semidirect
22. C4×D4×D113C2semidirect
23. #540×C113C2semidirect
24. C2×#14268647C22semidirect
25. C2×#14268646C22semidirect
29. C2×D4×D113C22semidirect
30. C2×D4×D113C22semidirect
31. C2×D4×D113C22semidirect
32. C22×C4×D113C22semidirect
33. #16813621C22semidirect
34. #16813618C22semidirect
35. #16813618C22semidirect
36. #16813617C22semidirect
37. #16813617C22semidirect
38. #16813615C22semidirect
39. #16813615C22semidirect
40. #16813613C22semidirect
41. #16813612C22semidirect
42. #16813609C22semidirect
43. #16813608C22semidirect
44. #16813608C22semidirect
45. #16813608C22semidirect
46. #16813607C22semidirect
47. #16813607C22semidirect
48. #16813605C22semidirect
49. #16813604C22semidirect
50. #16813604C22semidirect
51. #16813603C22semidirect
52. #16813602C22semidirect
53. #16813600C22semidirect
54. #16813600C22semidirect
55. #16813600C22semidirect
56. #16813597C22semidirect
57. #16813597C22semidirect
58. #16813597C22semidirect
59. #16813596C22semidirect
61. #16813595C22semidirect
62. #16813595C22semidirect
63. #16813595C22semidirect
64. #16813595C22semidirect
65. #16813594C22semidirect
66. #16813594C22semidirect
67. #16813594C22semidirect
68. #16813593C22semidirect
69. #16813593C22semidirect
70. #16813593C22semidirect
71. #16813593C22semidirect
72. #16813593C22semidirect
73. #16813592C22semidirect
74. #16813592C22semidirect
75. #16813590C22semidirect
76. #16813590C22semidirect
77. #16813590C22semidirect
78. #16813590C22semidirect
79. C4×Dic226C22semidirect
82. C4×D452C22semidirect
83. C4×D452C22semidirect
84. C4×D452C22semidirect
85. D4×Dic113C22semidirect
86. D4×Dic113C22semidirect
89. #16813584C22semidirect
90. #16813584C22semidirect
91. #16813584C22semidirect
92. C4×C22⋊D113C22semidirect
93. C4×C22⋊D113C22semidirect
94. C4×C22⋊D113C22semidirect
95. C4×C22⋊D113C22semidirect
96. C4×C22⋊D113C22semidirect
97. #16813582C22semidirect
98. #16813582C22semidirect
99. #16813582C22semidirect
100. #16813581C22semidirect
101. #16813580C22semidirect
102. #16813579C22semidirect
103. #16813578C22semidirect
104. C4⋊C4×D113C22semidirect
105. C4⋊C4×D113C22semidirect
106. C2×#14268624C22semidirect
107. C22⋊C4×D113C22semidirect
108. C22⋊C4×D113C22semidirect
109. C22⋊C4×D113C22semidirect
110. C22⋊C4×D113C22semidirect
111. C42×D113C22semidirect
112. #127×C113C22semidirect
113. #125×C113C22semidirect
114. #123×C113C22semidirect
115. #123×C113C22semidirect
116. #121×C113C22semidirect
117. #121×C113C22semidirect
118. #121×C113C22semidirect
119. #121×C113C22semidirect
120. C4×D4×C113C22semidirect
121. C4×D4×C113C22semidirect
122. #117×C113C22semidirect
289. D452#41semidirect
355. C113#3519semidirect
369. #540D113semidirect
391. #127C2×D113semidirect
398. #125C2×D113semidirect
409. #123C2×D113semidirect
410. #123C2×D113semidirect
432. #121C2×D113semidirect
433. #121C2×D113semidirect
434. #121C2×D113semidirect
435. #121C2×D113semidirect
463. C4×D4C2×D113semidirect
464. C4×D4C2×D113semidirect
469. #117C2×D113semidirect

Maximal subgroups

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

subgroupindex
#202993122
#202993042
#202993012
#202992952
#202992932
#202992682
#202992452
#202992402
#202992372
#202992332
#202992322
#202991992
#202991842
#202991802
#202991452
#202991262
#202991062
#121×D1132
#202990722
#202990702
C4×D4×D1132
#540×C1132
#3519113