Finite Group Databasebeta

← #27185154

Subgroups — #27185154

Order 12928.

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#20265890C211yesmaximal, characteristic, complemented
2#20265886C211yesmaximal, characteristic, complemented
3#20265877C211yesmaximal, characteristic, complemented
4#20265876C212yesmaximal, complemented
5#20265871C211yesmaximal, characteristic, complemented
6#20265848C211yesmaximal, characteristic, complemented
7#20265823C212yesmaximal, complemented
8#20265817C212yesmaximal, complemented
9#20265817C212yesmaximal, complemented
10D4×D404C211yesmaximal, characteristic, complemented
11D4×C22⋊D101C211yesmaximal, characteristic, complemented
12D4×C22⋊D101C211yesmaximal, characteristic, complemented
13#20265782C211yesmaximal, characteristic, complemented
14#20265778C211yesmaximal, characteristic, complemented
15#20265765C212yesmaximal, complemented
16#20265760C212yesmaximal, complemented
17#20265724C211yesmaximal, characteristic, complemented
18#20265705C211yesmaximal, characteristic, complemented
19#20265686C212yesmaximal, complemented
20C2×#15692228C212yesmaximal, complemented
21#20265649C211yesmaximal, characteristic, complemented
22C4×D4×D101C211yesmaximal, characteristic, complemented
23#518×C101C211yesmaximal, characteristic, complemented
24C2×#13108074C2212yescomplemented
25C2×#13108074C2212yescomplemented
26C22×D404C2212yescomplemented
27C22×C22⋊D101C2212yescomplemented
28C22×C22⋊D101C2212yescomplemented
29C2×D4×D101C2211yescharacteristic
30C2×D4×D101C2211yescharacteristic
31C22×C4×D101C2212yescomplemented
32#15692254C2211yescharacteristic, complemented
33#15692252C2211yescharacteristic, complemented
34#15692251C2211yescharacteristic, complemented
35#15692251C2211yescharacteristic, complemented
36#15692250C2211yescharacteristic, complemented
37#15692249C2212yescomplemented
38#15692248C2211yescharacteristic, complemented
39#15692248C2212yescomplemented
40#15692247C2211yescharacteristic, complemented
41#15692246C2211yescharacteristic, complemented
42#15692245C2211yescharacteristic, complemented
43#15692243C2212yescomplemented
44#15692241C2212yescomplemented
45#15692241C2212yescomplemented
46#15692241C2211yescharacteristic, complemented
47#15692240C2212yescomplemented
48#15692240C2212yescomplemented
49#15692240C2211yescharacteristic, complemented
50#15692238C2212yescomplemented
51#15692238C2212yescomplemented
52#15692237C2212yescomplemented
53#15692237C2212yescomplemented
54#15692237C2211yescharacteristic, complemented
55#15692234C2212yescomplemented
56#15692233C2211yescharacteristic, complemented
57#15692232C2212yescomplemented
58#15692232C2212yescomplemented
59#15692230C2211yescharacteristic, complemented
60#15692230C2211yescharacteristic, complemented
61#15692229C2212yescomplemented
62#15692229C2212yescomplemented
63#15692229C2212yescomplemented
64#15692229C2211yescharacteristic, complemented
65#15692229C2211yescharacteristic, complemented
66#15692228C2211yescharacteristic
67#15692228C2212yescomplemented
68#15692228C2212yescomplemented
69#15692228C2212yescomplemented
70#15692228C2212yescomplemented
71#15692228C2212yescomplemented
72#15692228C2212yescomplemented
73#15692228C2212yescomplemented
74#15692228C2212yescomplemented
75#15692228C2212yescomplemented
76#15692227C2212yescomplemented
77#15692227C2212yescomplemented
78#15692226C2211yescharacteristic, complemented
79#15692226C2211yescharacteristic, complemented
80#15692225C2212yescomplemented
81#15692225C2212yescomplemented
82#15692224C2212yescomplemented
83#15692224C2212yescomplemented
84#15692223C2212yescomplemented
85#15692223C2212yescomplemented
86C4×Dic202C2211yescharacteristic, complemented
87C4×D404C2211yescharacteristic, complemented
88C4×D404C2211yescharacteristic, complemented
89C4×D404C2211yescharacteristic, complemented
90C4×D404C2212yescomplemented
91D4×Dic101C2211yescharacteristic
92D4×Dic101C2211yescharacteristic
93#15692217C2211yescharacteristic, complemented
94#15692217C2211yescharacteristic, complemented
95C4×C22⋊D101C2212yescomplemented
96C4×C22⋊D101C2212yescomplemented
97C4×C22⋊D101C2211yescharacteristic, complemented
98C4×C22⋊D101C2211yescharacteristic, complemented
99C4×C22⋊D101C2212yescomplemented
100C4×C22⋊D101C2212yescomplemented
101#15692215C2212yescomplemented
102#15692215C2212yescomplemented
103#15692213C2211yescharacteristic, complemented
104#15692212C2211yescharacteristic, complemented
105#15692212C2212yescomplemented
106C2×#13108053C2212yescomplemented
107C4⋊C4×D101C2211yescharacteristic, complemented
108C2×#13108051C2212yescomplemented
109C22⋊C4×D101C2212yescomplemented
110C22⋊C4×D101C2212yescomplemented
111C42×D101C2211yescharacteristic, complemented
112C22×D4×C101C2211yescharacteristic
113C4×D4×C101C2211yescharacteristic
114C4×D4×C101C2211yescharacteristic
115C4×D4×C101C2212yescomplemented
116C4×D4×C101C2211yescharacteristic, complemented
117C4×D4×C101C2212yescomplemented
118C4×D4×C101C2211yescharacteristic, complemented
119#117×C101C2211yescharacteristic, complemented
120#117×C101C2211yescharacteristic, complemented
121C2×C22⋊C4×C101C2212yescomplemented
122C2×C22⋊C4×C101C2212yescomplemented
123C23×D101C2312yes—
124C23×D101C2312yes—
125#13108074—44no—
126#13108074—44no—
127C2×Dic202C2311yescharacteristic
128C2×Dic202C2312yes—
129C2×D404—44no—
130C2×D404C2311yescharacteristic
131C2×D404C2311yescharacteristic
132C2×D404C2311yescharacteristic
133C2×D404C2312yes—
134C2×D404C2312yes—
135C2×D404C2312yes—
136C2×D404C2312yes—
137C2×C22⋊D101—44no—
138C2×C22⋊D101—44no—
139C2×C22⋊D101C2312yes—
140C2×C22⋊D101C2312yes—
141C2×C22⋊D101C2311yescharacteristic
142C2×C22⋊D101C2311yescharacteristic
143C2×C22⋊D101C2312yes—
144C2×C22⋊D101C2312yes—
145C2×C22⋊D101C2312yes—
146C2×C22⋊D101C2312yes—
147C2×C22⋊D101C2312yes—
148C2×C22⋊D101C2312yes—
149C2×C22⋊D101C2312yes—
150C2×C22⋊D101C2312yes—
151D4×D101—24no—
152D4×D101—24no—
153C22×Dic101C2312yes—
154C22×Dic101C2312yes—
155C2×C4×D101—44no—
156C2×C4×D101C2311yescharacteristic
157C2×C4×D101C2312yes—
158C2×C4×D101C2311yescharacteristic
159C2×C4×D101C2311yescharacteristic
160C2×C4×D101C2311yescharacteristic
161C2×C4×D101C2312yes—
162C2×C4×D101C2312yes—
163C2×C4×D101C2312yes—
164C2×C4×D101C2312yes—
165C4⋊Dic101C2311yescharacteristic
166C4⋊Dic101C2311yescharacteristic
167C4⋊Dic101C2311yescharacteristic
168C4⋊Dic101C2312yes—
169C4⋊Dic101C2311yescharacteristic
170#13108053C2312yes—
171#13108053C2311yescharacteristic
172#13108053C2312yes—
173#13108053C2312yes—
174#13108053C2312yes—
175#13108053C2311yescharacteristic
176#13108053C2311yescharacteristic
177#13108053C2311yescharacteristic
178#13108053C2311yescharacteristic
179#13108053C2312yes—
180#13108053C2311yescharacteristic
181C22⋊Dic101C2312yes—
182C22⋊Dic101C2312yes—
183C22⋊Dic101C2311yescharacteristic
184C22⋊Dic101C2311yescharacteristic
185C22⋊Dic101C2312yes—
186C22⋊Dic101C2312yes—
187#13108051C2311yescharacteristic
188#13108051C2312yes—
189#13108051C2312yes—
190#13108051C2312yes—
191#13108051C2311yescharacteristic
192#13108051C2312yes—
193#13108051C2312yes—
194#13108051C2312yes—
195#13108051C2312yes—
196#13108051C2311yescharacteristic
197#13108051C2311yescharacteristic
198#13108051C2311yescharacteristic
199#13108051C2312yes—
200#13108051C2312yes—
201#13108051C2311yescharacteristic
202C4×Dic101C2311yescharacteristic
203C4×Dic101C2311yescharacteristic
204C4×Dic101C2311yescharacteristic
205C4×Dic101C2312yes—
206C4×Dic101C2311yescharacteristic
207C24×C101C2312yes—
208C2×D4×C101—24no—
209C2×D4×C101C2312yes—
210C2×D4×C101C2311yescharacteristic
211C2×D4×C101C2311yescharacteristic
212C22×C4×C101C2311yescharacteristic
213C22×C4×C101C2312yes—
214C22×C4×C101C2312yes—
215C22×C4×C101C2312yes—
216C22×C4×C101C2312yes—
217C4⋊C4×C101C2311yescharacteristic
218C4⋊C4×C101C2311yescharacteristic
219C4⋊C4×C101C2311yescharacteristic
220C4⋊C4×C101C2311yescharacteristic
221C22⋊C4×C101C2311yescharacteristic
222C22⋊C4×C101C2312yes—
223C22⋊C4×C101C2311yescharacteristic
224C22⋊C4×C101C2312yes—
225C22⋊C4×C101C2312yes—
226C22⋊C4×C101C2312yes—
227C22⋊C4×C101C2312yes—
228C42×C101C2311yescharacteristic
229C42×C101C2311yescharacteristic
230C42×C101C2312yes—
231C23×C101—24no—
232C23×C101—42no—
233C23×C101—42no—
234C23×C101C2411yescharacteristic
235C23×C101C2412yes—
236C23×C101C2412yes—
237C22×D101—24no—
238C22×D101—24no—
239C22×D101—24no—
240C22×D101—42no—
241C22×D101—42no—
242C22×D101—42no—
243C22×D101C2411yescharacteristic
244C22×D101C2412yes—
245C22×D101C2412yes—
246C22×D101C2411yescharacteristic
247D4×C101—24no—
248D4×C101—22no—
249D4×C101#4114yescomplemented
250C2×C4×C101—22no—
251C2×C4×C101—42no—
252C2×C4×C101—42no—
253C2×C4×C101—42no—
254C2×C4×C101—42no—
255C2×C4×C101C2411yescharacteristic
256C2×C4×C101C2411yescharacteristic
257C2×C4×C101C2411yescharacteristic
258C2×C4×C101C2412yes—
259C2×C4×C101C2411yescharacteristic
260C2×C4×C101C2412yes—
261C2×C4×C101C2411yescharacteristic
262C2×C4×C101C2411yescharacteristic
263C22⋊D101—24no—
264C22⋊D101—24no—
265C22⋊D101—22no—
266C22⋊D101—24no—
267C22⋊D101—22no—
268C22⋊D101—24no—
269C22⋊D101—42no—
270C22⋊D101—42no—
271C22⋊D101—42no—
272C22⋊D101—42no—
273C22⋊D101—42no—
274C22⋊D101—42no—
275C2×Dic101—24no—
276C2×Dic101—42no—
277C2×Dic101C2411yescharacteristic
278C2×Dic101C2411yescharacteristic
279C2×Dic101C2411yescharacteristic
280C2×Dic101C2412yes—
281C2×Dic101C2411yescharacteristic
282C2×Dic101C2411yescharacteristic
283C2×Dic101C2412yes—
284C2×Dic101C2411yescharacteristic
285D404—22no—
286D404—24no—
287D404—22no—
288D404—22no—
289D404—42no—
290D404—42no—
291D404—42no—
292C4×D101—22no—
293C4×D101—22no—
294C4×D101—22no—
295C4×D101—22no—
296C4×D101—24no—
297C4×D101—42no—
298C4×D101—42no—
299C4×D101—42no—
300C4×D101—42no—
301Dic202—22no—
302Dic202—42no—
303C22×C101—22no—
304C22×C101—22no—
305C22×C101—21no—
306C22×C101—22no—
307C22×C101—22no—
308C22×C101—22no—
309C22×C101—21no—
310C22×C101—21no—
311C22×C101—84no—
312C22×C101C2×#4114yes—
313C22×C101C2511yescharacteristic
314C2×D101—21no—
315C2×D101—21no—
316C2×D101—21no—
317C2×D101—22no—
318C2×D101—22no—
319C2×D101—22no—
320C2×D101—22no—
321C2×D101—22no—
322C2×D101—21no—
323C2×D101—22no—
324C2×D101—21no—
325C2×D101—48no—
326C2×D101—84no—
327C2×D101H(5,𝔽2)12yes—
328C4×C101—21no—
329C4×C101—21no—
330C4×C101—22no—
331C4×C101—21no—
332C4×C101—21no—
333C4×C101—22no—
334C4×C101—21no—
335C4×C101C2×#4112yes—
336Dic101—21no—
337Dic101—21no—
338Dic101—21no—
339Dic101—21no—
340Dic101—22no—
341Dic101—22no—
342Dic101—21no—
343Dic101H(5,𝔽2)12yes—
344C2×C101—24no—
345C2×C101—42no—
346C2×C101—41no—
347C2×C101C22×#4111yescharacteristic
348C2×C101C2×H(5,𝔽2)11yescharacteristic
349C2×C101C2×H(5,𝔽2)11yescharacteristic
350D101—22no—
351D101—42no—
352D101—42no—
353D101—41no—
354#3519—1011nomaximal, Sylow
355C101#351911yescharacteristic, complemented, Sylow
356#555—1011no—
357#554—1011no—
358#553—1012no—
359#553—1011no—
360#553—1011no—
361#550—1011no—
362#546—1012no—
363#546—1012no—
364#546—1012no—
365D42—1011no—
366D42—1011no—
367D42—1011no—
368#540—1011no—
369#540—1011no—
370#538—1012no—
371#538—1012no—
372#532—1011no—
373#529—1011no—
374#525—1012no—
375C2×#121—1012no—
376#518—1011no—
377#518D10111yescharacteristic, complemented
378C2×C4×D4—1011no—
379C2×#41—1012no—
380C2×#41—1012no—
381C22×D4—1012no—
382C22×D4—1012no—
383C22×D4—1011no—
384C22×D4—1011no—
385C22×D4—1012no—
386C22×D4C2×D10111yescharacteristic
387C23×C4—1012no—
388C4⋊Q8—1011no—
389#127—1011no—
390#127—1011no—
391#127—1011no—
392#126—1011no—
393#126—1011no—
394#126—1012no—
395#126—1012no—
396#125—1011no—
397#125—1011no—
398#125—1011no—
399#124—1011no—
400#124—1012no—
401#124—1012no—
402#124—1012no—
403#123—1012no—
404#123—1012no—
405#123—1012no—
406#123—1011no—
407#123—1012no—
408#123—1012no—
409#123—1011no—
410#123—1012no—
411C22⋊Q8—1012no—
412C22⋊Q8—1011no—
413C22⋊Q8—1012no—
414C22⋊Q8—1012no—
415#121—1012no—
416#121—1011no—
417#121—1012no—
418#121—1011no—
419#121—1012no—
420#121—1012no—
421#121—1011no—
422#121—1011no—
423#121—1012no—
424#121—1011no—
425#121—1011no—
426#121—1011no—
427#121—1012no—
428#121—1012no—
429#121—1012no—
430#121—1012no—
431#121—1012no—
432#121—1012no—
433#121—1012no—
434#121—1012no—
435#121—1012no—
436#120—1012no—
437#120—1012no—
438#120—1012no—
439#120—1012no—
440#120—1012no—
441#120—1012no—
442C4×Q8—1011no—
443C4×D4—1011no—
444C4×D4—1011no—
445C4×D4—1012no—
446C4×D4—1012no—
447C4×D4—1012no—
448C4×D4—1011no—
449C4×D4—1011no—
450C4×D4—1012no—
451C4×D4—1011no—
452C4×D4—1011no—
453C4×D4—1012no—
454C4×D4—1012no—
455C4×D4—1011no—
456C4×D4—1011no—
457C4×D4—1012no—
458C4×D4—1011no—
459C4×D4C2×D10111yescharacteristic
460C4×D4C2×D10111yescharacteristic
461C4×D4C2×D10112yescomplemented
462C4×D4C2×D10111yescharacteristic, complemented
463C4×D4C2×D10112yescomplemented
464C4×D4C2×D10111yescharacteristic, complemented
465#117—1011no—
466#117—1011no—
467#117—1012no—
468#117C2×D10111yescharacteristic, complemented
469#117C2×D10111yescharacteristic, complemented
470C2×C4⋊C4—1012no—
471C2×C4⋊C4—1011no—
472C2×C22⋊C4—1012no—
473C2×C22⋊C4—1012no—
474C2×C22⋊C4—1012no—
475C2×C22⋊C4C2×D10112yescomplemented
476C2×C22⋊C4C2×D10112yescomplemented
477C2×C42—1011no—
478C24—1012no—
479C24—1012no—
480C24C22×D10112yes—
481#41—4044no—
482#41—4044no—
483C2×Q8—1012no—
484C2×Q8—1011no—
485C2×D4—24no—
486C2×D4—1012no—
487C2×D4—1012no—
488C2×D4—1012no—
489C2×D4—1012no—
490C2×D4—1012no—
491C2×D4—1012no—
492C2×D4—1012no—
493C2×D4—1012no—
494C2×D4—1012no—
495C2×D4—1011no—
496C2×D4—1011no—
497C2×D4—1012no—
498C2×D4—1012no—
499C2×D4—1012no—
500C2×D4—1012no—
501C2×D4—1011no—
502C2×D4—1011no—
503C2×D4—1012no—
504C2×D4—1011no—
505C2×D4—4044no—
506C2×D4—4044no—
507C2×D4—4044no—
508C2×D4—2024no—
509C2×D4—2024no—
510C2×D4C22×D10112yes—
511C2×D4C22×D10111yescharacteristic
512C2×D4C22×D10111yescharacteristic
513C22×C4—1012no—
514C22×C4—1012no—
515C22×C4—1012no—
516C22×C4—1012no—
517C22×C4—1012no—
518C22×C4—1012no—
519C22×C4—1011no—
520C22×C4—1011no—
521C22×C4—1011no—
522C22×C4—1011no—
523C22×C4—1012no—
524C22×C4—4044no—
525C22×C4C22×D10111yescharacteristic
526C22×C4C22×D10112yes—
527C22×C4C22×D10112yes—
528C22×C4C22×D10112yes—
529C22×C4C22×D10112yes—
530C4⋊C4—1011no—
531C4⋊C4—1012no—
532C4⋊C4—1012no—
533C4⋊C4—1012no—
534C4⋊C4—1012no—
535C4⋊C4—1011no—
536C4⋊C4—1011no—
537C4⋊C4—1011no—
538C4⋊C4—1011no—
539C4⋊C4—1012no—
540C4⋊C4—1011no—
541C4⋊C4—1011no—
542C4⋊C4—1011no—
543C4⋊C4—1011no—
544C4⋊C4—1012no—
545C4⋊C4—1011no—
546C4⋊C4C22×D10111yescharacteristic
547C4⋊C4C22×D10111yescharacteristic
548C4⋊C4C22×D10111yescharacteristic
549C4⋊C4C22×D10111yescharacteristic
550C22⋊C4—1012no—
551C22⋊C4—1012no—
552C22⋊C4—1011no—
553C22⋊C4—1011no—
554C22⋊C4—1012no—
555C22⋊C4—1012no—
556C22⋊C4—1011no—
557C22⋊C4—1011no—
558C22⋊C4—1012no—
559C22⋊C4—1012no—
560C22⋊C4—1012no—
561C22⋊C4—1012no—
562C22⋊C4—1012no—
563C22⋊C4—1012no—
564C22⋊C4—1012no—
565C22⋊C4—1011no—
566C22⋊C4—1011no—
567C22⋊C4—1011no—
568C22⋊C4—1011no—
569C22⋊C4—1012no—
570C22⋊C4—1012no—
571C22⋊C4C22×D10112yes—
572C22⋊C4C22×D10111yescharacteristic
573C22⋊C4C22×D10112yes—
574C22⋊C4C22×D10111yescharacteristic
575C22⋊C4C22×D10112yes—
576C22⋊C4C22×D10112yes—
577C22⋊C4C22×D10112yes—
578C42—1011no—
579C42—1011no—
580C42—1011no—
581C42—1012no—
582C42—1011no—
583C42C22×D10111yescharacteristic
584C42C22×D10112yes—
585C42C22×D10111yescharacteristic
586C23—24no—
587C23—42no—
588C23—42no—
589C23—1011no—
590C23—1011no—
591C23—1012no—
592C23—1012no—
593C23—4042no—
594C23—4042no—
595C23—4042no—
596C23—2024no—
597C23—2024no—
598C23—2024no—
599C23C23×D10111yescharacteristic
600C23C23×D10112yes—
601C23C23×D10112yes—
602Q8—4042no—
603Q8—2022no—
604D4—24no—
605D4—22no—
606D4—4042no—
607D4—4042no—
608D4—4042no—
609D4—4042no—
610D4—4042no—
611D4—4042no—
612D4—4042no—
613D4—4042no—
614D4—4042no—
615D4—2022no—
616D4—2024no—
617D4—2022no—
618D4—2024no—
619D4—2022no—
620D4—2024no—
621D4—2024no—
622D4—2024no—
623D4—2022no—
624D4—2022no—
625D4#1310807414yescomplemented
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—1011no—
632C2×C4—1011no—
633C2×C4—1011no—
634C2×C4—1011no—
635C2×C4—1011no—
636C2×C4—1012no—
637C2×C4—1011no—
638C2×C4—1012no—
639C2×C4—4042no—
640C2×C4—4042no—
641C2×C4—4042no—
642C2×C4—4042no—
643C2×C4—4042no—
644C2×C4—2022no—
645C2×C4—2024no—
646C2×C4—2022no—
647C2×C4—2024no—
648C2×C4—2022no—
649C2×C4—2022no—
650C2×C4C23×D10111yescharacteristic
651C2×C4C23×D10111yescharacteristic
652C2×C4C23×D10112yes—
653C2×C4C23×D10111yescharacteristic
654C2×C4C23×D10111yescharacteristic
655C2×C4C23×D10112yes—
656C2×C4C23×D10111yescharacteristic
657C2×C4C23×D10111yescharacteristic
658C22—22no—
659C22—22no—
660C22—21no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—21no—
665C22—21no—
666C22—84no—
667C22—8084no—
668C22—1012no—
669C22—4048no—
670C22—2021no—
671C22—2022no—
672C22—2022no—
673C22—2022no—
674C22—2022no—
675C22—2022no—
676C22—2022no—
677C22—2021no—
678C22—2021no—
679C22—2021no—
680C22—2021no—
681C22C2×#1310807414yes—
682C22C24×D10111yescharacteristic
683C4—21no—
684C4—21no—
685C4—22no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—22no—
690C4—1012no—
691C4—2021no—
692C4—2021no—
693C4—2022no—
694C4—2021no—
695C4—2021no—
696C4—2022no—
697C4—2021no—
698C4C2×#1310807412yes—
699C2—24no—
700C2—41no—
701C2—42no—
702C2—4041no—
703C2—4042no—
704C2—4042no—
705C2—2022no—
706C2C22×#1310807411yescharacteristic
707C2H(5,𝔽2)×D10111yescharacteristic
708C2H(5,𝔽2)×D10111yescharacteristic
subgroupG/H
center, FrattiniC22C24×D101
commutator, socle, cosocleC22×C101C25
Fitting#518×C101C2
hypercenter#518D101
hypocenterC101#3519
LCSG ▷ C22×C101 ▷ C101
UCSC1 ◁ C22 ◁ #518

Complements

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

NH ≅ G/Ntype
1. #20265890C2semidirect
2. #20265886C2semidirect
3. #20265877C2semidirect
4. #20265876C2semidirect
5. #20265871C2semidirect
6. #20265848C2semidirect
7. #20265823C2semidirect
8. #20265817C2semidirect
9. #20265817C2semidirect
10. D4×D404C2semidirect
11. D4×C22⋊D101C2semidirect
12. D4×C22⋊D101C2semidirect
13. #20265782C2semidirect
14. #20265778C2semidirect
15. #20265765C2semidirect
16. #20265760C2semidirect
17. #20265724C2semidirect
18. #20265705C2semidirect
19. #20265686C2semidirect
20. C2×#15692228C2semidirect
21. #20265649C2semidirect
22. C4×D4×D101C2semidirect
23. #518×C101C2semidirect
24. C2×#13108074C22semidirect
25. C2×#13108074C22semidirect
26. C22×D404C22semidirect
27. C22×C22⋊D101C22semidirect
28. C22×C22⋊D101C22semidirect
31. C22×C4×D101C22semidirect
32. #15692254C22semidirect
33. #15692252C22semidirect
34. #15692251C22semidirect
35. #15692251C22semidirect
36. #15692250C22semidirect
37. #15692249C22semidirect
38. #15692248C22semidirect
39. #15692248C22semidirect
40. #15692247C22semidirect
41. #15692246C22semidirect
42. #15692245C22semidirect
43. #15692243C22semidirect
44. #15692241C22semidirect
45. #15692241C22semidirect
46. #15692241C22semidirect
47. #15692240C22semidirect
48. #15692240C22semidirect
49. #15692240C22semidirect
50. #15692238C22semidirect
51. #15692238C22semidirect
52. #15692237C22semidirect
53. #15692237C22semidirect
54. #15692237C22semidirect
55. #15692234C22semidirect
56. #15692233C22semidirect
57. #15692232C22semidirect
58. #15692232C22semidirect
59. #15692230C22semidirect
60. #15692230C22semidirect
61. #15692229C22semidirect
62. #15692229C22semidirect
63. #15692229C22semidirect
64. #15692229C22semidirect
65. #15692229C22semidirect
67. #15692228C22semidirect
68. #15692228C22semidirect
69. #15692228C22semidirect
70. #15692228C22semidirect
71. #15692228C22semidirect
72. #15692228C22semidirect
73. #15692228C22semidirect
74. #15692228C22semidirect
75. #15692228C22semidirect
76. #15692227C22semidirect
77. #15692227C22semidirect
78. #15692226C22semidirect
79. #15692226C22semidirect
80. #15692225C22semidirect
81. #15692225C22semidirect
82. #15692224C22semidirect
83. #15692224C22semidirect
84. #15692223C22semidirect
85. #15692223C22semidirect
86. C4×Dic202C22semidirect
87. C4×D404C22semidirect
88. C4×D404C22semidirect
89. C4×D404C22semidirect
90. C4×D404C22semidirect
93. #15692217C22semidirect
94. #15692217C22semidirect
95. C4×C22⋊D101C22semidirect
96. C4×C22⋊D101C22semidirect
97. C4×C22⋊D101C22semidirect
98. C4×C22⋊D101C22semidirect
99. C4×C22⋊D101C22semidirect
100. C4×C22⋊D101C22semidirect
101. #15692215C22semidirect
102. #15692215C22semidirect
103. #15692213C22semidirect
104. #15692212C22semidirect
105. #15692212C22semidirect
106. C2×#13108053C22semidirect
107. C4⋊C4×D101C22semidirect
108. C2×#13108051C22semidirect
109. C22⋊C4×D101C22semidirect
110. C22⋊C4×D101C22semidirect
111. C42×D101C22semidirect
115. C4×D4×C101C22semidirect
116. C4×D4×C101C22semidirect
117. C4×D4×C101C22semidirect
118. C4×D4×C101C22semidirect
119. #117×C101C22semidirect
120. #117×C101C22semidirect
121. C2×C22⋊C4×C101C22semidirect
122. C2×C22⋊C4×C101C22semidirect
249. D4×C101#41semidirect
355. C101#3519semidirect
377. #518D101semidirect
461. C4×D4C2×D101semidirect
462. C4×D4C2×D101semidirect
463. C4×D4C2×D101semidirect
464. C4×D4C2×D101semidirect
468. #117C2×D101semidirect
469. #117C2×D101semidirect
475. C2×C22⋊C4C2×D101semidirect
476. C2×C22⋊C4C2×D101semidirect
625. D4#13108074semidirect

Maximal subgroups

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

subgroupindex
#202658902
#202658862
#202658772
#202658762
#202658712
#202658482
#202658232
#202658172
D4×D4042
D4×C22⋊D1012
#202657822
#202657782
#202657652
#202657602
#202657242
#202657052
#202656862
C2×#156922282
#202656492
C4×D4×D1012
#518×C1012
#3519101