Finite Group Databasebeta

← #46824915

Subgroups — #46824915

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#31771319C211yesmaximal, characteristic, complemented
2#31771311C211yesmaximal, characteristic, complemented
3#31771308C211yesmaximal, characteristic, complemented
4#31771302C211yesmaximal, characteristic, complemented
5#31771300C212yesmaximal, complemented
6#31771275C211yesmaximal, characteristic, complemented
7#31771252C212yesmaximal, complemented
8#31771247C212yesmaximal, complemented
9#31771244C212yesmaximal, complemented
10#31771240C211yesmaximal, characteristic, complemented
11#31771239C211yesmaximal, characteristic, complemented
12#31771239C211yesmaximal, characteristic, complemented
13#31771206C211yesmaximal, characteristic, complemented
14#31771191C212yesmaximal, complemented
15#31771187C212yesmaximal, complemented
16#31771152C211yesmaximal, characteristic, complemented
17#31771133C211yesmaximal, characteristic, complemented
18#31771113C212yesmaximal, complemented
19#121×D269C212yesmaximal, complemented
20#31771079C211yesmaximal, characteristic, complemented
21#31771077C211yesmaximal, characteristic, complemented
22C4×D4×D269C211yesmaximal, characteristic, complemented
23#540×C269C211yesmaximal, characteristic, complemented
24C2×#16864402C2212yescomplemented
25C2×#16864401C2212yescomplemented
26C22×D1076C2211yescharacteristic
27C2×D4×D269C2211yescharacteristic
28C2×D4×D269C2211yescharacteristic
29C2×D4×D269C2212yescomplemented
30C2×D4×D269C2212yescomplemented
31C2×D4×D269C2212yescomplemented
32C22×C4×D269C2212yescomplemented
33#22575452C2211yescharacteristic, complemented
34#22575449C2211yescharacteristic, complemented
35#22575449C2211yescharacteristic, complemented
36#22575448C2212yescomplemented
37#22575448C2211yescharacteristic, complemented
38#22575446C2211yescharacteristic, complemented
39#22575446C2212yescomplemented
40#22575444C2211yescharacteristic, complemented
41#22575443C2211yescharacteristic, complemented
42#22575440C2212yescomplemented
43#22575439C2212yescomplemented
44#22575439C2212yescomplemented
45#22575439C2211yescharacteristic, complemented
46#22575438C2212yescomplemented
47#22575438C2211yescharacteristic, complemented
48#22575436C2212yescomplemented
49#22575435C2212yescomplemented
50#22575435C2211yescharacteristic, complemented
51#22575434C2212yescomplemented
52#22575433C2212yescomplemented
53#22575431C2212yescomplemented
54#22575431C2212yescomplemented
55#22575431C2211yescharacteristic, complemented
56#22575428C2211yescharacteristic, complemented
57#22575428C2211yescharacteristic, complemented
58#22575428C2212yescomplemented
59#22575427C2212yescomplemented
60#22575426C2211yescharacteristic
61#22575426C2212yescomplemented
62#22575426C2212yescomplemented
63#22575426C2212yescomplemented
64#22575426C2212yescomplemented
65#22575425C2212yescomplemented
66#22575425C2212yescomplemented
67#22575425C2212yescomplemented
68#22575424C2211yescharacteristic, complemented
69#22575424C2212yescomplemented
70#22575424C2212yescomplemented
71#22575424C2211yescharacteristic, complemented
72#22575424C2212yescomplemented
73#22575423C2212yescomplemented
74#22575423C2212yescomplemented
75#22575421C2212yescomplemented
76#22575421C2212yescomplemented
77#22575421C2212yescomplemented
78#22575421C2212yescomplemented
79C4×Dic538C2211yescharacteristic, complemented
80C4×D1076C2211yescharacteristic
81C4×D1076C2211yescharacteristic
82C4×D1076C2211yescharacteristic, complemented
83C4×D1076C2211yescharacteristic, complemented
84C4×D1076C2211yescharacteristic, complemented
85D4×Dic269C2211yescharacteristic, complemented
86D4×Dic269C2211yescharacteristic, complemented
87#22575415C2211yescharacteristic
88#22575415C2211yescharacteristic
89#22575415C2212yescomplemented
90#22575415C2212yescomplemented
91#22575415C2212yescomplemented
92C4×C22⋊D269C2212yescomplemented
93C4×C22⋊D269C2212yescomplemented
94C4×C22⋊D269C2211yescharacteristic, complemented
95C4×C22⋊D269C2211yescharacteristic, complemented
96C4×C22⋊D269C2212yescomplemented
97#22575413C2212yescomplemented
98#22575413C2212yescomplemented
99#22575413C2212yescomplemented
100#22575412C2211yescharacteristic, complemented
101#22575411C2211yescharacteristic, complemented
102#22575410C2211yescharacteristic, complemented
103#22575409C2212yescomplemented
104C4⋊C4×D269C2212yescomplemented
105C4⋊C4×D269C2211yescharacteristic, complemented
106C2×#16864379C2212yescomplemented
107C22⋊C4×D269C2212yescomplemented
108C22⋊C4×D269C2212yescomplemented
109C22⋊C4×D269C2212yescomplemented
110C22⋊C4×D269C2212yescomplemented
111C42×D269C2211yescharacteristic, complemented
112#127×C269C2211yescharacteristic, complemented
113#125×C269C2211yescharacteristic, complemented
114#123×C269C2212yescomplemented
115#123×C269C2212yescomplemented
116#121×C269C2212yescomplemented
117#121×C269C2211yescharacteristic, complemented
118#121×C269C2211yescharacteristic, complemented
119#121×C269C2212yescomplemented
120C4×D4×C269C2211yescharacteristic, complemented
121C4×D4×C269C2211yescharacteristic, complemented
122#117×C269C2211yescharacteristic, complemented
123C23×D269C2312yes—
124C23×D269C2312yes—
125C23×D269C2312yes—
126#16864402—44no—
127#16864401—44no—
128C2×Dic538C2311yescharacteristic
129C2×Dic538C2312yes—
130C2×D1076—24no—
131C2×D1076C2312yes—
132C2×D1076C2312yes—
133C2×D1076C2311yescharacteristic
134C2×D1076C2311yescharacteristic
135C2×D1076C2312yes—
136C2×D1076C2311yescharacteristic
137C2×C22⋊D269C2312yes—
138C2×C22⋊D269C2312yes—
139C2×C22⋊D269C2312yes—
140C2×C22⋊D269C2311yescharacteristic
141C2×C22⋊D269C2311yescharacteristic
142C2×C22⋊D269C2312yes—
143C2×C22⋊D269C2312yes—
144C2×C22⋊D269C2312yes—
145C2×C22⋊D269C2312yes—
146C2×C22⋊D269C2312yes—
147D4×D269—24no—
148D4×D269—24no—
149D4×D269—44no—
150D4×D269—44no—
151D4×D269—44no—
152C22×Dic269C2312yes—
153C22×Dic269C2312yes—
154C2×C4×D269—44no—
155C2×C4×D269C2311yescharacteristic
156C2×C4×D269C2311yescharacteristic
157C2×C4×D269C2311yescharacteristic
158C2×C4×D269C2312yes—
159C2×C4×D269C2311yescharacteristic
160C2×C4×D269C2312yes—
161C2×C4×D269C2312yes—
162C2×C4×D269C2312yes—
163C2×C4×D269C2312yes—
164C2×C4×D269C2312yes—
165C2×C4×D269C2312yes—
166C4⋊Dic269C2311yescharacteristic
167C4⋊Dic269C2312yes—
168C4⋊Dic269C2311yescharacteristic
169C4⋊Dic269C2311yescharacteristic
170C4⋊Dic269C2311yescharacteristic
171#16864381C2311yescharacteristic
172#16864381C2312yes—
173#16864381C2312yes—
174#16864381C2311yescharacteristic
175#16864381C2311yescharacteristic
176#16864381C2311yescharacteristic
177#16864381C2312yes—
178#16864381C2311yescharacteristic
179#16864381C2311yescharacteristic
180C22⋊Dic269C2312yes—
181C22⋊Dic269C2312yes—
182C22⋊Dic269C2312yes—
183C22⋊Dic269C2312yes—
184C22⋊Dic269C2311yescharacteristic
185C22⋊Dic269C2311yescharacteristic
186C22⋊Dic269C2312yes—
187#16864379C2312yes—
188#16864379C2311yescharacteristic
189#16864379C2312yes—
190#16864379C2312yes—
191#16864379C2312yes—
192#16864379C2312yes—
193#16864379C2312yes—
194#16864379C2311yescharacteristic
195#16864379C2312yes—
196#16864379C2311yescharacteristic
197#16864379C2312yes—
198#16864379C2311yescharacteristic
199#16864379C2311yescharacteristic
200#16864379C2312yes—
201#16864379C2311yescharacteristic
202C4×Dic269C2311yescharacteristic
203C4×Dic269C2311yescharacteristic
204C4×Dic269C2311yescharacteristic
205C4×Dic269C2312yes—
206C4×Dic269C2312yes—
207C4×Dic269C2311yescharacteristic
208C2×D4×C269C2311yescharacteristic
209C2×D4×C269C2311yescharacteristic
210C2×D4×C269C2312yes—
211C2×D4×C269C2312yes—
212C2×D4×C269C2312yes—
213C2×D4×C269C2312yes—
214C22×C4×C269C2311yescharacteristic
215C22×C4×C269C2312yes—
216C22×C4×C269C2312yes—
217C4⋊C4×C269C2311yescharacteristic
218C4⋊C4×C269C2312yes—
219C4⋊C4×C269C2311yescharacteristic
220C4⋊C4×C269C2311yescharacteristic
221C4⋊C4×C269C2311yescharacteristic
222C4⋊C4×C269C2312yes—
223C22⋊C4×C269C2311yescharacteristic
224C22⋊C4×C269C2311yescharacteristic
225C22⋊C4×C269C2312yes—
226C22⋊C4×C269C2312yes—
227C22⋊C4×C269C2312yes—
228C22⋊C4×C269C2312yes—
229C42×C269C2311yescharacteristic
230C42×C269C2311yescharacteristic
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×D269C2411yescharacteristic
244Dic538—22no—
245Dic538—42no—
246D1076—24no—
247D1076—22no—
248D1076—24no—
249D1076—22no—
250D1076—42no—
251D1076#4114yescomplemented
252C22⋊D269—24no—
253C22⋊D269—24no—
254C22⋊D269—22no—
255C22⋊D269—24no—
256C22⋊D269—22no—
257C22⋊D269—24no—
258C22⋊D269—42no—
259C22⋊D269—42no—
260C22⋊D269—42no—
261C22⋊D269—42no—
262C2×Dic269—24no—
263C2×Dic269—42no—
264C2×Dic269C2411yescharacteristic
265C2×Dic269C2411yescharacteristic
266C2×Dic269C2412yes—
267C2×Dic269C2411yescharacteristic
268C2×Dic269C2411yescharacteristic
269C2×Dic269C2412yes—
270C2×Dic269C2411yescharacteristic
271C2×Dic269C2411yescharacteristic
272C4×D269—22no—
273C4×D269—22no—
274C4×D269—22no—
275C4×D269—22no—
276C4×D269—24no—
277C4×D269—42no—
278C4×D269—42no—
279C4×D269—42no—
280C4×D269—42no—
281C4×D269—42no—
282C4×D269—42no—
283C23×C269C2411yescharacteristic
284C23×C269C2412yes—
285C23×C269C2412yes—
286D4×C269—22no—
287D4×C269—22no—
288D4×C269—42no—
289D4×C269—42no—
290D4×C269—42no—
291D4×C269—42no—
292C2×C4×C269—22no—
293C2×C4×C269—42no—
294C2×C4×C269—42no—
295C2×C4×C269C2411yescharacteristic
296C2×C4×C269C2411yescharacteristic
297C2×C4×C269C2411yescharacteristic
298C2×C4×C269C2411yescharacteristic
299C2×C4×C269C2411yescharacteristic
300C2×C4×C269C2412yes—
301C2×C4×C269C2412yes—
302C2×C4×C269C2411yescharacteristic
303C22×C269—21no—
304C22×C269—22no—
305C22×C269—22no—
306C22×C269—22no—
307C22×C269—22no—
308C22×C269—22no—
309C22×C269—21no—
310C22×C269—21no—
311C22×C269—22no—
312C22×C269C2511yescharacteristic
313C2×D269—21no—
314C2×D269—21no—
315C2×D269—22no—
316C2×D269—22no—
317C2×D269—21no—
318C2×D269—22no—
319C2×D269—22no—
320C2×D269—22no—
321C2×D269—21no—
322C2×D269—21no—
323C2×D269—48no—
324C2×D269—84no—
325C2×D269—84no—
326C2×D269C2×#4114yes—
327C2×D269H(5,𝔽2)12yes—
328C4×C269—21no—
329C4×C269—21no—
330C4×C269—21no—
331C4×C269—22no—
332C4×C269—22no—
333C4×C269—21no—
334C4×C269—21no—
335C4×C269C2×#4112yes—
336Dic269—21no—
337Dic269—21no—
338Dic269—21no—
339Dic269—22no—
340Dic269—21no—
341Dic269—22no—
342Dic269—21no—
343Dic269H(5,𝔽2)12yes—
344C2×C269—42no—
345C2×C269—41no—
346C2×C269—42no—
347C2×C269C22×#4111yescharacteristic
348C2×C269C2×H(5,𝔽2)11yescharacteristic
349C2×C269C2×H(5,𝔽2)11yescharacteristic
350D269—22no—
351D269—24no—
352D269—42no—
353D269—41no—
354C269#351911yescharacteristic, complemented, Sylow
355#3519—2691nomaximal, Sylow
356#555—2691no—
357#554—2691no—
358#553—2691no—
359#553—2692no—
360#553—2691no—
361#550—2691no—
362#546—2692no—
363#546—2692no—
364#546—2692no—
365D42—2691no—
366D42—2691no—
367D42—2691no—
368#540—2691no—
369#540D26911yescharacteristic, complemented
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—2691no—
383C22×D4—2692no—
384C22×D4—2692no—
385C22×D4—2692no—
386C22×D4—2691no—
387C23×C4—2692no—
388C4⋊Q8—2691no—
389#127—2691no—
390#127—2691no—
391#127C2×D26911yescharacteristic, complemented
392#126—2691no—
393#126—2692no—
394#126—2691no—
395#126—2692no—
396#125—2691no—
397#125—2691no—
398#125C2×D26911yescharacteristic, complemented
399#124—2692no—
400#124—2691no—
401#124—2692no—
402#124—2692no—
403#123—2692no—
404#123—2692no—
405#123—2691no—
406#123—2692no—
407#123—2691no—
408#123—2692no—
409#123C2×D26912yescomplemented
410#123C2×D26912yescomplemented
411C22⋊Q8—2691no—
412C22⋊Q8—2692no—
413C22⋊Q8—2692no—
414C22⋊Q8—2692no—
415#121—2692no—
416#121—2692no—
417#121—2692no—
418#121—2691no—
419#121—2692no—
420#121—2692no—
421#121—2692no—
422#121—2691no—
423#121—2692no—
424#121—2692no—
425#121—2691no—
426#121—2691no—
427#121—2691no—
428#121—2692no—
429#121—2692no—
430#121—2692no—
431#121—2692no—
432#121C2×D26912yescomplemented
433#121C2×D26911yescharacteristic, complemented
434#121C2×D26911yescharacteristic, complemented
435#121C2×D26912yescomplemented
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—2691no—
445C4×D4—2692no—
446C4×D4—2692no—
447C4×D4—2691no—
448C4×D4—2691no—
449C4×D4—2692no—
450C4×D4—2691no—
451C4×D4—2692no—
452C4×D4—2691no—
453C4×D4—2692no—
454C4×D4—2692no—
455C4×D4—2692no—
456C4×D4—2692no—
457C4×D4—2692no—
458C4×D4—2691no—
459C4×D4—2691no—
460C4×D4—2691no—
461C4×D4—2691no—
462C4×D4—2691no—
463C4×D4C2×D26911yescharacteristic, complemented
464C4×D4C2×D26911yescharacteristic, complemented
465#117—2691no—
466#117—2691no—
467#117—2692no—
468#117—2691no—
469#117C2×D26911yescharacteristic, complemented
470C2×C4⋊C4—2691no—
471C2×C4⋊C4—2692no—
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—2692no—
488C2×D4—2691no—
489C2×D4—2691no—
490C2×D4—2692no—
491C2×D4—2692no—
492C2×D4—2692no—
493C2×D4—2692no—
494C2×D4—2692no—
495C2×D4—2691no—
496C2×D4—2692no—
497C2×D4—2691no—
498C2×D4—2692no—
499C2×D4—2691no—
500C2×D4—2692no—
501C2×D4—5384no—
502C2×D4—5384no—
503C2×D4—5384no—
504C2×D4—10764no—
505C2×D4—10764no—
506C2×D4—10764no—
507C2×D4C22×D26911yescharacteristic
508C2×D4C22×D26911yescharacteristic
509C2×D4C22×D26912yes—
510C2×D4C22×D26912yes—
511C2×D4C22×D26912yes—
512C2×D4C22×D26912yes—
513C22×C4—2692no—
514C22×C4—2692no—
515C22×C4—2691no—
516C22×C4—2691no—
517C22×C4—2691no—
518C22×C4—2692no—
519C22×C4—2691no—
520C22×C4—2692no—
521C22×C4—2692no—
522C22×C4—2692no—
523C22×C4—2692no—
524C22×C4—2692no—
525C22×C4—2692no—
526C22×C4—10764no—
527C22×C4C22×D26911yescharacteristic
528C22×C4C22×D26912yes—
529C22×C4C22×D26912yes—
530C4⋊C4—2691no—
531C4⋊C4—2691no—
532C4⋊C4—2692no—
533C4⋊C4—2692no—
534C4⋊C4—2692no—
535C4⋊C4—2691no—
536C4⋊C4—2691no—
537C4⋊C4—2691no—
538C4⋊C4—2691no—
539C4⋊C4—2691no—
540C4⋊C4—2691no—
541C4⋊C4—2692no—
542C4⋊C4—2691no—
543C4⋊C4—2691no—
544C4⋊C4C22×D26911yescharacteristic
545C4⋊C4C22×D26912yes—
546C4⋊C4C22×D26911yescharacteristic
547C4⋊C4C22×D26911yescharacteristic
548C4⋊C4C22×D26911yescharacteristic
549C4⋊C4C22×D26912yes—
550C22⋊C4—2692no—
551C22⋊C4—2692no—
552C22⋊C4—2692no—
553C22⋊C4—2692no—
554C22⋊C4—2691no—
555C22⋊C4—2691no—
556C22⋊C4—2692no—
557C22⋊C4—2692no—
558C22⋊C4—2691no—
559C22⋊C4—2692no—
560C22⋊C4—2691no—
561C22⋊C4—2692no—
562C22⋊C4—2692no—
563C22⋊C4—2692no—
564C22⋊C4—2692no—
565C22⋊C4—2692no—
566C22⋊C4—2691no—
567C22⋊C4—2691no—
568C22⋊C4—2691no—
569C22⋊C4—2691no—
570C22⋊C4—2692no—
571C22⋊C4—2692no—
572C22⋊C4C22×D26911yescharacteristic
573C22⋊C4C22×D26911yescharacteristic
574C22⋊C4C22×D26912yes—
575C22⋊C4C22×D26912yes—
576C22⋊C4C22×D26912yes—
577C22⋊C4C22×D26912yes—
578C42—2691no—
579C42—2691no—
580C42—2691no—
581C42—2692no—
582C42—2692no—
583C42—2691no—
584C42C22×D26911yescharacteristic
585C42C22×D26911yescharacteristic
586C23—2692no—
587C23—2691no—
588C23—2691no—
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×D26912yes—
602Q8—5382no—
603Q8—10762no—
604D4—22no—
605D4—22no—
606D4—42no—
607D4—42no—
608D4—42no—
609D4—42no—
610D4—2694no—
611D4—5384no—
612D4—5382no—
613D4—5384no—
614D4—5382no—
615D4—5384no—
616D4—5384no—
617D4—5384no—
618D4—5382no—
619D4—5384no—
620D4—5382no—
621D4—10762no—
622D4—10762no—
623D4—10762no—
624D4—10762no—
625D4—10762no—
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—2691no—
630C2×C4—2691no—
631C2×C4—2691no—
632C2×C4—2692no—
633C2×C4—2691no—
634C2×C4—2692no—
635C2×C4—2691no—
636C2×C4—2691no—
637C2×C4—5382no—
638C2×C4—5384no—
639C2×C4—5382no—
640C2×C4—5384no—
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×D26911yescharacteristic
652C2×C4C23×D26911yescharacteristic
653C2×C4C23×D26912yes—
654C2×C4C23×D26911yescharacteristic
655C2×C4C23×D26911yescharacteristic
656C2×C4C23×D26912yes—
657C2×C4C23×D26911yescharacteristic
658C22—21no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—21no—
665C22—21no—
666C22—22no—
667C22—2694no—
668C22—2692no—
669C22—5381no—
670C22—5381no—
671C22—5382no—
672C22—5382no—
673C22—5381no—
674C22—5382no—
675C22—5382no—
676C22—5382no—
677C22—5381no—
678C22—5381no—
679C22—10768no—
680C22—21524no—
681C22—21524no—
682C22C24×D26911yescharacteristic
683C4—21no—
684C4—21no—
685C4—21no—
686C4—22no—
687C4—22no—
688C4—21no—
689C4—21no—
690C4—2692no—
691C4—5381no—
692C4—5381no—
693C4—5382no—
694C4—5381no—
695C4—5381no—
696C4—5382no—
697C4—5381no—
698C4#41×D26912yes—
699C2—42no—
700C2—41no—
701C2—42no—
702C2—5382no—
703C2—5384no—
704C2—10761no—
705C2—10762no—
706C2C2×#41×D26911yescharacteristic
707C2H(5,𝔽2)×D26911yescharacteristic
708C2H(5,𝔽2)×D26911yescharacteristic
subgroupG/H
center, FrattiniC22C24×D269
commutator, socle, cosocleC22×C269C25
Fitting#540×C269C2
hypercenter#540D269
hypocenterC269#3519
LCSG ▷ C22×C269 ▷ C269
UCSC1 ◁ C22 ◁ #540

Complements

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

NH ≅ G/Ntype
1. #31771319C2semidirect
2. #31771311C2semidirect
3. #31771308C2semidirect
4. #31771302C2semidirect
5. #31771300C2semidirect
6. #31771275C2semidirect
7. #31771252C2semidirect
8. #31771247C2semidirect
9. #31771244C2semidirect
10. #31771240C2semidirect
11. #31771239C2semidirect
12. #31771239C2semidirect
13. #31771206C2semidirect
14. #31771191C2semidirect
15. #31771187C2semidirect
16. #31771152C2semidirect
17. #31771133C2semidirect
18. #31771113C2semidirect
19. #121×D269C2semidirect
20. #31771079C2semidirect
21. #31771077C2semidirect
22. C4×D4×D269C2semidirect
23. #540×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. #22575449C22semidirect
35. #22575449C22semidirect
36. #22575448C22semidirect
37. #22575448C22semidirect
38. #22575446C22semidirect
39. #22575446C22semidirect
40. #22575444C22semidirect
41. #22575443C22semidirect
42. #22575440C22semidirect
43. #22575439C22semidirect
44. #22575439C22semidirect
45. #22575439C22semidirect
46. #22575438C22semidirect
47. #22575438C22semidirect
48. #22575436C22semidirect
49. #22575435C22semidirect
50. #22575435C22semidirect
51. #22575434C22semidirect
52. #22575433C22semidirect
53. #22575431C22semidirect
54. #22575431C22semidirect
55. #22575431C22semidirect
56. #22575428C22semidirect
57. #22575428C22semidirect
58. #22575428C22semidirect
59. #22575427C22semidirect
61. #22575426C22semidirect
62. #22575426C22semidirect
63. #22575426C22semidirect
64. #22575426C22semidirect
65. #22575425C22semidirect
66. #22575425C22semidirect
67. #22575425C22semidirect
68. #22575424C22semidirect
69. #22575424C22semidirect
70. #22575424C22semidirect
71. #22575424C22semidirect
72. #22575424C22semidirect
73. #22575423C22semidirect
74. #22575423C22semidirect
75. #22575421C22semidirect
76. #22575421C22semidirect
77. #22575421C22semidirect
78. #22575421C22semidirect
79. C4×Dic538C22semidirect
82. C4×D1076C22semidirect
83. C4×D1076C22semidirect
84. C4×D1076C22semidirect
85. D4×Dic269C22semidirect
86. D4×Dic269C22semidirect
89. #22575415C22semidirect
90. #22575415C22semidirect
91. #22575415C22semidirect
92. C4×C22⋊D269C22semidirect
93. C4×C22⋊D269C22semidirect
94. C4×C22⋊D269C22semidirect
95. C4×C22⋊D269C22semidirect
96. C4×C22⋊D269C22semidirect
97. #22575413C22semidirect
98. #22575413C22semidirect
99. #22575413C22semidirect
100. #22575412C22semidirect
101. #22575411C22semidirect
102. #22575410C22semidirect
103. #22575409C22semidirect
104. C4⋊C4×D269C22semidirect
105. C4⋊C4×D269C22semidirect
106. C2×#16864379C22semidirect
107. C22⋊C4×D269C22semidirect
108. C22⋊C4×D269C22semidirect
109. C22⋊C4×D269C22semidirect
110. C22⋊C4×D269C22semidirect
111. C42×D269C22semidirect
112. #127×C269C22semidirect
113. #125×C269C22semidirect
114. #123×C269C22semidirect
115. #123×C269C22semidirect
116. #121×C269C22semidirect
117. #121×C269C22semidirect
118. #121×C269C22semidirect
119. #121×C269C22semidirect
120. C4×D4×C269C22semidirect
121. C4×D4×C269C22semidirect
122. #117×C269C22semidirect
251. D1076#41semidirect
354. C269#3519semidirect
369. #540D269semidirect
391. #127C2×D269semidirect
398. #125C2×D269semidirect
409. #123C2×D269semidirect
410. #123C2×D269semidirect
432. #121C2×D269semidirect
433. #121C2×D269semidirect
434. #121C2×D269semidirect
435. #121C2×D269semidirect
463. C4×D4C2×D269semidirect
464. C4×D4C2×D269semidirect
469. #117C2×D269semidirect

Maximal subgroups

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

subgroupindex
#317713192
#317713112
#317713082
#317713022
#317713002
#317712752
#317712522
#317712472
#317712442
#317712402
#317712392
#317712062
#317711912
#317711872
#317711522
#317711332
#317711132
#121×D2692
#317710792
#317710772
C4×D4×D2692
#540×C2692
#3519269