Finite Group Databasebeta

← #46824913

Subgroups — #46824913

Order 34432.

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#31771318C211yesmaximal, characteristic, complemented
2#31771311C211yesmaximal, characteristic, complemented
3#31771306C212yesmaximal, complemented
4#31771303C211yesmaximal, characteristic, complemented
5#31771276C211yesmaximal, characteristic, complemented
6#31771250C212yesmaximal, complemented
7#31771247C212yesmaximal, complemented
8#31771244C212yesmaximal, complemented
9D4×D1076C211yesmaximal, characteristic, complemented
10#31771239C211yesmaximal, characteristic, complemented
11#31771239C211yesmaximal, characteristic, complemented
12#31771211C211yesmaximal, characteristic, complemented
13#31771208C211yesmaximal, characteristic, complemented
14#31771194C212yesmaximal, complemented
15#31771191C212yesmaximal, complemented
16#31771150C211yesmaximal, characteristic, complemented
17#31771135C211yesmaximal, characteristic, complemented
18#31771114C212yesmaximal, complemented
19#121×D269C212yesmaximal, complemented
20#31771079C211yesmaximal, characteristic, complemented
21#31771077C211yesmaximal, characteristic, complemented
22C2×#22575415C211yesmaximal, characteristic, complemented
23#553×C269C211yesmaximal, characteristic, complemented
24C2×#16864402C2212yescomplemented
25C2×#16864401C2212yescomplemented
26C22×D1076C2211yescharacteristic
27C22×D1076C2211yescharacteristic
28C2×D4×D269C2211yescharacteristic
29C2×D4×D269C2212yescomplemented
30C2×D4×D269C2212yescomplemented
31C2×D4×D269C2212yescomplemented
32C22×C4×D269C2212yescomplemented
33#22575452C2211yescharacteristic, complemented
34#22575450C2211yescharacteristic, complemented
35#22575449C2211yescharacteristic, complemented
36#22575449C2211yescharacteristic, complemented
37#22575448C2212yescomplemented
38#22575448C2211yescharacteristic, complemented
39#22575446C2211yescharacteristic, complemented
40#22575444C2211yescharacteristic, complemented
41#22575443C2211yescharacteristic, complemented
42#22575441C2212yescomplemented
43#22575439C2212yescomplemented
44#22575439C2212yescomplemented
45#22575439C2211yescharacteristic, complemented
46#22575438C2212yescomplemented
47#22575438C2212yescomplemented
48#22575438C2212yescomplemented
49#22575437C2212yescomplemented
50#22575437C2211yescharacteristic, complemented
51#22575435C2212yescomplemented
52#22575434C2211yescharacteristic, complemented
53#22575433C2212yescomplemented
54#22575431C2212yescomplemented
55#22575431C2212yescomplemented
56#22575430C2211yescharacteristic, complemented
57#22575428C2212yescomplemented
58#22575428C2212yescomplemented
59#22575428C2211yescharacteristic, complemented
60#22575428C2211yescharacteristic, complemented
61#22575428C2212yescomplemented
62#22575427C2211yescharacteristic, complemented
63#22575427C2212yescomplemented
64#22575427C2211yescharacteristic, complemented
65#22575427C2212yescomplemented
66#22575426C2212yescomplemented
67#22575426C2212yescomplemented
68#22575426C2212yescomplemented
69#22575426C2212yescomplemented
70#22575426C2212yescomplemented
71#22575425C2211yescharacteristic
72#22575425C2212yescomplemented
73#22575425C2212yescomplemented
74#22575424C2212yescomplemented
75#22575423C2212yescomplemented
76#22575423C2212yescomplemented
77#22575423C2212yescomplemented
78#22575423C2212yescomplemented
79#22575421C2212yescomplemented
80#22575421C2212yescomplemented
81C4×Dic538C2211yescharacteristic, complemented
82C4×D1076C2211yescharacteristic
83C4×D1076C2212yescomplemented
84C4×D1076C2212yescomplemented
85D4×Dic269C2211yescharacteristic, complemented
86#22575415C2211yescharacteristic
87#22575415C2211yescharacteristic
88#22575415C2211yescharacteristic
89#22575415C2211yescharacteristic, complemented
90#22575415C2212yescomplemented
91#22575415C2211yescharacteristic, complemented
92#22575415C2212yescomplemented
93#22575415C2211yescharacteristic, complemented
94#22575415C2211yescharacteristic, complemented
95C4×C22⋊D269C2212yescomplemented
96C4×C22⋊D269C2211yescharacteristic, complemented
97C4×C22⋊D269C2211yescharacteristic, complemented
98C4×C22⋊D269C2212yescomplemented
99#22575413C2212yescomplemented
100#22575413C2212yescomplemented
101#22575412C2211yescharacteristic, complemented
102#22575411C2211yescharacteristic, complemented
103#22575410C2211yescharacteristic, complemented
104#22575410C2212yescomplemented
105C4⋊C4×D269C2212yescomplemented
106C2×#16864379C2212yescomplemented
107C2×#16864379C2212yescomplemented
108C22⋊C4×D269C2212yescomplemented
109C22⋊C4×D269C2212yescomplemented
110C22⋊C4×D269C2212yescomplemented
111C2×C4×Dic269C2211yescharacteristic, complemented
112#126×C269C2212yescomplemented
113#125×C269C2211yescharacteristic, complemented
114#123×C269C2212yescomplemented
115#121×C269C2211yescharacteristic, complemented
116#121×C269C2211yescharacteristic, complemented
117#121×C269C2212yescomplemented
118C4×D4×C269C2211yescharacteristic, complemented
119C4×D4×C269C2212yescomplemented
120C4×D4×C269C2211yescharacteristic, complemented
121#117×C269C2211yescharacteristic, complemented
122C2×C4⋊C4×C269C2211yescharacteristic, complemented
123C23×D269C2312yes—
124C23×D269C2312yes—
125C23×D269C2312yes—
126#16864402—44no—
127#16864401—44no—
128C2×Dic538C2311yescharacteristic
129C2×Dic538C2312yes—
130C2×D1076—24no—
131C2×D1076—24no—
132C2×D1076C2312yes—
133C2×D1076C2311yescharacteristic
134C2×D1076C2311yescharacteristic
135C2×D1076C2312yes—
136C2×D1076C2312yes—
137C2×D1076C2312yes—
138C2×D1076C2312yes—
139C2×D1076C2312yes—
140C2×D1076C2311yescharacteristic
141C2×C22⋊D269C2312yes—
142C2×C22⋊D269C2312yes—
143C2×C22⋊D269C2312yes—
144C2×C22⋊D269C2311yescharacteristic
145C2×C22⋊D269C2311yescharacteristic
146C2×C22⋊D269C2312yes—
147C2×C22⋊D269C2312yes—
148C2×C22⋊D269C2312yes—
149C2×C22⋊D269C2312yes—
150D4×D269—24no—
151D4×D269—44no—
152D4×D269—44no—
153D4×D269—44no—
154C22×Dic269C2311yescharacteristic
155C22×Dic269C2311yescharacteristic
156C22×Dic269C2312yes—
157C2×C4×D269—44no—
158C2×C4×D269C2312yes—
159C2×C4×D269C2311yescharacteristic
160C2×C4×D269C2312yes—
161C2×C4×D269C2312yes—
162C2×C4×D269C2312yes—
163C2×C4×D269C2312yes—
164C2×C4×D269C2312yes—
165C2×C4×D269C2312yes—
166C2×C4×D269C2312yes—
167C4⋊Dic269C2312yes—
168C4⋊Dic269C2311yescharacteristic
169C4⋊Dic269C2311yescharacteristic
170C4⋊Dic269C2311yescharacteristic
171C4⋊Dic269C2311yescharacteristic
172#16864381C2311yescharacteristic
173#16864381C2312yes—
174#16864381C2311yescharacteristic
175#16864381C2311yescharacteristic
176#16864381C2311yescharacteristic
177#16864381C2312yes—
178#16864381C2311yescharacteristic
179#16864381C2311yescharacteristic
180C22⋊Dic269C2311yescharacteristic
181C22⋊Dic269C2311yescharacteristic
182C22⋊Dic269C2312yes—
183C22⋊Dic269C2311yescharacteristic
184C22⋊Dic269C2311yescharacteristic
185#16864379C2311yescharacteristic
186#16864379C2312yes—
187#16864379C2312yes—
188#16864379C2312yes—
189#16864379C2312yes—
190#16864379C2312yes—
191#16864379C2311yescharacteristic
192#16864379C2312yes—
193#16864379C2312yes—
194#16864379C2312yes—
195#16864379C2312yes—
196#16864379C2312yes—
197#16864379C2312yes—
198#16864379C2312yes—
199#16864379C2312yes—
200#16864379C2311yescharacteristic
201#16864379C2311yescharacteristic
202C4×Dic269C2311yescharacteristic
203C4×Dic269C2311yescharacteristic
204C4×Dic269C2311yescharacteristic
205C4×Dic269C2311yescharacteristic
206C4×Dic269C2312yes—
207C4×Dic269C2311yescharacteristic
208C2×D4×C269C2311yescharacteristic
209C2×D4×C269C2312yes—
210C2×D4×C269C2311yescharacteristic
211C2×D4×C269C2312yes—
212C22×C4×C269C2311yescharacteristic
213C22×C4×C269C2311yescharacteristic
214C22×C4×C269C2312yes—
215C22×C4×C269C2312yes—
216C4⋊C4×C269C2312yes—
217C4⋊C4×C269C2311yescharacteristic
218C4⋊C4×C269C2311yescharacteristic
219C4⋊C4×C269C2311yescharacteristic
220C4⋊C4×C269C2312yes—
221C4⋊C4×C269C2311yescharacteristic
222C4⋊C4×C269C2312yes—
223C22⋊C4×C269C2312yes—
224C22⋊C4×C269C2312yes—
225C22⋊C4×C269C2312yes—
226C22⋊C4×C269C2311yescharacteristic
227C22⋊C4×C269C2311yescharacteristic
228C22⋊C4×C269C2312yes—
229C42×C269C2311yescharacteristic
230C42×C269C2312yes—
231C22×D269—24no—
232C22×D269—24no—
233C22×D269—24no—
234C22×D269—24no—
235C22×D269—42no—
236C22×D269—42no—
237C22×D269—42no—
238C22×D269—42no—
239C22×D269—42no—
240C22×D269C2411yescharacteristic
241C22×D269C2412yes—
242C22×D269C2412yes—
243C22×D269C2412yes—
244Dic538—22no—
245Dic538—42no—
246D1076—24no—
247D1076—24no—
248D1076—22no—
249D1076—22no—
250D1076—42no—
251D1076—42no—
252D1076—42no—
253D1076—42no—
254D1076#4114yescomplemented
255C22⋊D269—22no—
256C22⋊D269—24no—
257C22⋊D269—24no—
258C22⋊D269—22no—
259C22⋊D269—24no—
260C22⋊D269—42no—
261C22⋊D269—42no—
262C22⋊D269—42no—
263C22⋊D269—42no—
264C2×Dic269—22no—
265C2×Dic269—22no—
266C2×Dic269—42no—
267C2×Dic269C2411yescharacteristic
268C2×Dic269C2411yescharacteristic
269C2×Dic269C2411yescharacteristic
270C2×Dic269C2411yescharacteristic
271C2×Dic269C2412yes—
272C2×Dic269C2411yescharacteristic
273C2×Dic269C2411yescharacteristic
274C2×Dic269C2411yescharacteristic
275C4×D269—22no—
276C4×D269—24no—
277C4×D269—24no—
278C4×D269—42no—
279C4×D269—42no—
280C4×D269—42no—
281C4×D269—42no—
282C4×D269—42no—
283C4×D269—42no—
284C23×C269C2411yescharacteristic
285C23×C269C2412yes—
286C23×C269C2411yescharacteristic
287D4×C269—22no—
288D4×C269—24no—
289D4×C269—22no—
290D4×C269—42no—
291C2×C4×C269—22no—
292C2×C4×C269—22no—
293C2×C4×C269—42no—
294C2×C4×C269—42no—
295C2×C4×C269C2411yescharacteristic
296C2×C4×C269C2412yes—
297C2×C4×C269C2411yescharacteristic
298C2×C4×C269C2412yes—
299C2×C4×C269C2411yescharacteristic
300C2×C4×C269C2411yescharacteristic
301C2×C4×C269C2412yes—
302C2×C4×C269C2411yescharacteristic
303C22×C269—21no—
304C22×C269—21no—
305C22×C269—21no—
306C22×C269—22no—
307C22×C269—22no—
308C22×C269—22no—
309C22×C269—21no—
310C22×C269—21no—
311C22×C269H(5,𝔽2)12yes—
312C22×C269C2511yescharacteristic
313C2×D269—22no—
314C2×D269—22no—
315C2×D269—21no—
316C2×D269—22no—
317C2×D269—22no—
318C2×D269—22no—
319C2×D269—22no—
320C2×D269—22no—
321C2×D269—21no—
322C2×D269—21no—
323C2×D269—22no—
324C2×D269—48no—
325C2×D269—84no—
326C2×D269—84no—
327C2×D269C2×#4114yes—
328C4×C269—21no—
329C4×C269—21no—
330C4×C269—22no—
331C4×C269—21no—
332C4×C269—22no—
333C4×C269—21no—
334C4×C269—22no—
335C4×C269C2×#4112yes—
336Dic269—21no—
337Dic269—21no—
338Dic269—21no—
339Dic269—21no—
340Dic269—21no—
341Dic269—22no—
342Dic269—21no—
343Dic269H(5,𝔽2)12yes—
344C2×C269—22no—
345C2×C269—41no—
346C2×C269—42no—
347C2×C269C22×#4111yescharacteristic
348C2×C269C2×H(5,𝔽2)11yescharacteristic
349C2×C269C2×H(5,𝔽2)11yescharacteristic
350D269—24no—
351D269—42no—
352D269—42no—
353D269—41no—
354C269#351911yescharacteristic, complemented, Sylow
355#3519—2691nomaximal, Sylow
356#555—2691no—
357#554—2691no—
358#553—2692no—
359#553—2691no—
360#553D26911yescharacteristic, complemented
361#550—2691no—
362#546—2692no—
363#546—2692no—
364#546—2692no—
365D42—2691no—
366D42—2691no—
367D42—2691no—
368#540—2691no—
369#540—2691no—
370#538—2692no—
371#538—2692no—
372#532—2691no—
373#529—2691no—
374#525—2692no—
375C2×#121—2692no—
376#518—2691no—
377#518—2691no—
378C2×C4×D4—2691no—
379C2×#41—2692no—
380C2×#41—2692no—
381C22×D4—2691no—
382C22×D4—2692no—
383C22×D4—2692no—
384C22×D4—2692no—
385C22×D4—2691no—
386C22×D4—2691no—
387C23×C4—2692no—
388C4⋊Q8—2691no—
389#127—2691no—
390#127—2691no—
391#127—2691no—
392#126—2691no—
393#126—2692no—
394#126—2691no—
395#126C2×D26912yescomplemented
396#125—2691no—
397#125—2691no—
398#125C2×D26911yescharacteristic, complemented
399#124—2691no—
400#124—2692no—
401#124—2692no—
402#124—2692no—
403#123—2691no—
404#123—2692no—
405#123—2692no—
406#123—2692no—
407#123—2692no—
408#123—2691no—
409#123—2692no—
410#123C2×D26912yescomplemented
411C22⋊Q8—2692no—
412C22⋊Q8—2692no—
413C22⋊Q8—2692no—
414C22⋊Q8—2691no—
415#121—2691no—
416#121—2692no—
417#121—2692no—
418#121—2692no—
419#121—2692no—
420#121—2691no—
421#121—2692no—
422#121—2691no—
423#121—2692no—
424#121—2692no—
425#121—2691no—
426#121—2691no—
427#121—2692no—
428#121—2692no—
429#121—2692no—
430#121—2692no—
431#121—2692no—
432#121—2692no—
433#121C2×D26912yescomplemented
434#121C2×D26911yescharacteristic, complemented
435#121C2×D26911yescharacteristic, complemented
436#120—2692no—
437#120—2692no—
438#120—2692no—
439#120—2692no—
440#120—2692no—
441#120—2692no—
442C4×Q8—2691no—
443C4×D4—2691no—
444C4×D4—2692no—
445C4×D4—2692no—
446C4×D4—2691no—
447C4×D4—2691no—
448C4×D4—2691no—
449C4×D4—2692no—
450C4×D4—2691no—
451C4×D4—2691no—
452C4×D4—2692no—
453C4×D4—2691no—
454C4×D4—2691no—
455C4×D4—2691no—
456C4×D4—2691no—
457C4×D4—2692no—
458C4×D4—2692no—
459C4×D4—2692no—
460C4×D4—2691no—
461C4×D4—2692no—
462C4×D4C2×D26911yescharacteristic, complemented
463C4×D4C2×D26912yescomplemented
464C4×D4C2×D26911yescharacteristic, complemented
465#117—2691no—
466#117—2691no—
467#117—2691no—
468#117—2692no—
469#117C2×D26911yescharacteristic, complemented
470C2×C4⋊C4—2692no—
471C2×C4⋊C4C2×D26911yescharacteristic, complemented
472C2×C22⋊C4—2692no—
473C2×C22⋊C4—2692no—
474C2×C22⋊C4—2692no—
475C2×C22⋊C4—2692no—
476C2×C22⋊C4—2692no—
477C2×C42—2691no—
478C24—2692no—
479C24—2692no—
480C24—2692no—
481#41—10764no—
482#41—10764no—
483C2×Q8—2691no—
484C2×Q8—2692no—
485C2×D4—2692no—
486C2×D4—2692no—
487C2×D4—2691no—
488C2×D4—2691no—
489C2×D4—2692no—
490C2×D4—2692no—
491C2×D4—2692no—
492C2×D4—2692no—
493C2×D4—2692no—
494C2×D4—2691no—
495C2×D4—2692no—
496C2×D4—2692no—
497C2×D4—2691no—
498C2×D4—2691no—
499C2×D4—2692no—
500C2×D4—2692no—
501C2×D4—2692no—
502C2×D4—2692no—
503C2×D4—5384no—
504C2×D4—5384no—
505C2×D4—5384no—
506C2×D4—10764no—
507C2×D4—10764no—
508C2×D4—10764no—
509C2×D4C22×D26911yescharacteristic
510C2×D4C22×D26912yes—
511C2×D4C22×D26911yescharacteristic
512C2×D4C22×D26912yes—
513C22×C4—2691no—
514C22×C4—2691no—
515C22×C4—2692no—
516C22×C4—2692no—
517C22×C4—2691no—
518C22×C4—2692no—
519C22×C4—2692no—
520C22×C4—2692no—
521C22×C4—2692no—
522C22×C4—2692no—
523C22×C4—2692no—
524C22×C4—2692no—
525C22×C4—10764no—
526C22×C4C22×D26911yescharacteristic
527C22×C4C22×D26911yescharacteristic
528C22×C4C22×D26912yes—
529C22×C4C22×D26912yes—
530C4⋊C4—2691no—
531C4⋊C4—2692no—
532C4⋊C4—2692no—
533C4⋊C4—2691no—
534C4⋊C4—2691no—
535C4⋊C4—2691no—
536C4⋊C4—2691no—
537C4⋊C4—2691no—
538C4⋊C4—2691no—
539C4⋊C4—2691no—
540C4⋊C4—2692no—
541C4⋊C4—2691no—
542C4⋊C4—2691no—
543C4⋊C4C22×D26912yes—
544C4⋊C4C22×D26911yescharacteristic
545C4⋊C4C22×D26911yescharacteristic
546C4⋊C4C22×D26912yes—
547C4⋊C4C22×D26911yescharacteristic
548C4⋊C4C22×D26911yescharacteristic
549C4⋊C4C22×D26912yes—
550C22⋊C4—2691no—
551C22⋊C4—2691no—
552C22⋊C4—2692no—
553C22⋊C4—2691no—
554C22⋊C4—2691no—
555C22⋊C4—2692no—
556C22⋊C4—2691no—
557C22⋊C4—2691no—
558C22⋊C4—2692no—
559C22⋊C4—2692no—
560C22⋊C4—2692no—
561C22⋊C4—2692no—
562C22⋊C4—2692no—
563C22⋊C4—2692no—
564C22⋊C4—2692no—
565C22⋊C4—2692no—
566C22⋊C4—2692no—
567C22⋊C4—2692no—
568C22⋊C4—2691no—
569C22⋊C4—2691no—
570C22⋊C4—2692no—
571C22⋊C4—2692no—
572C22⋊C4C22×D26912yes—
573C22⋊C4C22×D26912yes—
574C22⋊C4C22×D26912yes—
575C22⋊C4C22×D26911yescharacteristic
576C22⋊C4C22×D26911yescharacteristic
577C22⋊C4C22×D26912yes—
578C42—2691no—
579C42—2691no—
580C42—2691no—
581C42—2691no—
582C42—2692no—
583C42—2691no—
584C42C22×D26912yes—
585C42C22×D26911yescharacteristic
586C23—2692no—
587C23—2691no—
588C23—2692no—
589C23—2692no—
590C23—5384no—
591C23—5384no—
592C23—5384no—
593C23—5384no—
594C23—10762no—
595C23—10762no—
596C23—10762no—
597C23—10762no—
598C23—10762no—
599C23C23×D26911yescharacteristic
600C23C23×D26912yes—
601C23C23×D26911yescharacteristic
602Q8—5382no—
603Q8—10762no—
604D4—22no—
605D4—24no—
606D4—22no—
607D4—42no—
608D4—2694no—
609D4—5384no—
610D4—5384no—
611D4—5382no—
612D4—5384no—
613D4—5384no—
614D4—5382no—
615D4—5384no—
616D4—5382no—
617D4—5382no—
618D4—10762no—
619D4—10762no—
620D4—10762no—
621D4—10762no—
622D4—10762no—
623D4—10762no—
624D4—10762no—
625D4—10762no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—2691no—
631C2×C4—2691no—
632C2×C4—2691no—
633C2×C4—2691no—
634C2×C4—2691no—
635C2×C4—2691no—
636C2×C4—2692no—
637C2×C4—2691no—
638C2×C4—5384no—
639C2×C4—5384no—
640C2×C4—5382no—
641C2×C4—5382no—
642C2×C4—5382no—
643C2×C4—10762no—
644C2×C4—10762no—
645C2×C4—10762no—
646C2×C4—10762no—
647C2×C4—10762no—
648C2×C4—10762no—
649C2×C4—10762no—
650C2×C4C23×D26911yescharacteristic
651C2×C4C23×D26912yes—
652C2×C4C23×D26911yescharacteristic
653C2×C4C23×D26911yescharacteristic
654C2×C4C23×D26912yes—
655C2×C4C23×D26911yescharacteristic
656C2×C4C23×D26912yes—
657C2×C4C23×D26911yescharacteristic
658C22—21no—
659C22—21no—
660C22—21no—
661C22—22no—
662C22—22no—
663C22—21no—
664C22—22no—
665C22—21no—
666C22—2694no—
667C22—5382no—
668C22—5382no—
669C22—5381no—
670C22—5382no—
671C22—5382no—
672C22—5382no—
673C22—5382no—
674C22—5381no—
675C22—5382no—
676C22—5381no—
677C22—5382no—
678C22—10768no—
679C22—21524no—
680C22—21524no—
681C22#2257549912yes—
682C22C24×D26911yescharacteristic
683C4—21no—
684C4—21no—
685C4—22no—
686C4—21no—
687C4—22no—
688C4—21no—
689C4—22no—
690C4—2692no—
691C4—5381no—
692C4—5381no—
693C4—5381no—
694C4—5381no—
695C4—5381no—
696C4—5381no—
697C4—5382no—
698C4#41×D26912yes—
699C2—22no—
700C2—41no—
701C2—42no—
702C2—5384no—
703C2—10762no—
704C2—10761no—
705C2—10762no—
706C2C2×#41×D26911yescharacteristic
707C2H(5,𝔽2)×D26911yescharacteristic
708C2C2×#2257549911yescharacteristic
subgroupG/H
center, FrattiniC22C24×D269
commutator, socle, cosocleC22×C269C25
Fitting#553×C269C2
hypercenter#553D269
hypocenterC269#3519
LCSG ▷ C22×C269 ▷ C269
UCSC1 ◁ C22 ◁ #553

Complements

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

NH ≅ G/Ntype
1. #31771318C2semidirect
2. #31771311C2semidirect
3. #31771306C2semidirect
4. #31771303C2semidirect
5. #31771276C2semidirect
6. #31771250C2semidirect
7. #31771247C2semidirect
8. #31771244C2semidirect
9. D4×D1076C2semidirect
10. #31771239C2semidirect
11. #31771239C2semidirect
12. #31771211C2semidirect
13. #31771208C2semidirect
14. #31771194C2semidirect
15. #31771191C2semidirect
16. #31771150C2semidirect
17. #31771135C2semidirect
18. #31771114C2semidirect
19. #121×D269C2semidirect
20. #31771079C2semidirect
21. #31771077C2semidirect
22. C2×#22575415C2semidirect
23. #553×C269C2semidirect
24. C2×#16864402C22semidirect
25. C2×#16864401C22semidirect
29. C2×D4×D269C22semidirect
30. C2×D4×D269C22semidirect
31. C2×D4×D269C22semidirect
32. C22×C4×D269C22semidirect
33. #22575452C22semidirect
34. #22575450C22semidirect
35. #22575449C22semidirect
36. #22575449C22semidirect
37. #22575448C22semidirect
38. #22575448C22semidirect
39. #22575446C22semidirect
40. #22575444C22semidirect
41. #22575443C22semidirect
42. #22575441C22semidirect
43. #22575439C22semidirect
44. #22575439C22semidirect
45. #22575439C22semidirect
46. #22575438C22semidirect
47. #22575438C22semidirect
48. #22575438C22semidirect
49. #22575437C22semidirect
50. #22575437C22semidirect
51. #22575435C22semidirect
52. #22575434C22semidirect
53. #22575433C22semidirect
54. #22575431C22semidirect
55. #22575431C22semidirect
56. #22575430C22semidirect
57. #22575428C22semidirect
58. #22575428C22semidirect
59. #22575428C22semidirect
60. #22575428C22semidirect
61. #22575428C22semidirect
62. #22575427C22semidirect
63. #22575427C22semidirect
64. #22575427C22semidirect
65. #22575427C22semidirect
66. #22575426C22semidirect
67. #22575426C22semidirect
68. #22575426C22semidirect
69. #22575426C22semidirect
70. #22575426C22semidirect
72. #22575425C22semidirect
73. #22575425C22semidirect
74. #22575424C22semidirect
75. #22575423C22semidirect
76. #22575423C22semidirect
77. #22575423C22semidirect
78. #22575423C22semidirect
79. #22575421C22semidirect
80. #22575421C22semidirect
81. C4×Dic538C22semidirect
83. C4×D1076C22semidirect
84. C4×D1076C22semidirect
85. D4×Dic269C22semidirect
89. #22575415C22semidirect
90. #22575415C22semidirect
91. #22575415C22semidirect
92. #22575415C22semidirect
93. #22575415C22semidirect
94. #22575415C22semidirect
95. C4×C22⋊D269C22semidirect
96. C4×C22⋊D269C22semidirect
97. C4×C22⋊D269C22semidirect
98. C4×C22⋊D269C22semidirect
99. #22575413C22semidirect
100. #22575413C22semidirect
101. #22575412C22semidirect
102. #22575411C22semidirect
103. #22575410C22semidirect
104. #22575410C22semidirect
105. C4⋊C4×D269C22semidirect
106. C2×#16864379C22semidirect
107. C2×#16864379C22semidirect
108. C22⋊C4×D269C22semidirect
109. C22⋊C4×D269C22semidirect
110. C22⋊C4×D269C22semidirect
111. C2×C4×Dic269C22semidirect
112. #126×C269C22semidirect
113. #125×C269C22semidirect
114. #123×C269C22semidirect
115. #121×C269C22semidirect
116. #121×C269C22semidirect
117. #121×C269C22semidirect
118. C4×D4×C269C22semidirect
119. C4×D4×C269C22semidirect
120. C4×D4×C269C22semidirect
121. #117×C269C22semidirect
122. C2×C4⋊C4×C269C22semidirect
254. D1076#41semidirect
354. C269#3519semidirect
360. #553D269semidirect
395. #126C2×D269semidirect
398. #125C2×D269semidirect
410. #123C2×D269semidirect
433. #121C2×D269semidirect
434. #121C2×D269semidirect
435. #121C2×D269semidirect
462. C4×D4C2×D269semidirect
463. C4×D4C2×D269semidirect
464. C4×D4C2×D269semidirect
469. #117C2×D269semidirect
471. C2×C4⋊C4C2×D269semidirect

Maximal subgroups

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

subgroupindex
#317713182
#317713112
#317713062
#317713032
#317712762
#317712502
#317712472
#317712442
D4×D10762
#317712392
#317712112
#317712082
#317711942
#317711912
#317711502
#317711352
#317711142
#121×D2692
#317710792
#317710772
C2×#225754152
#553×C2692
#3519269