Finite Group Databasebeta

← C31×#18532 #21475291

Subgroups — C31×#18532 #21475291

Order 7936.

1028 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3481C211yesmaximal, characteristic
2C31×#3141C211yesmaximal, characteristic, complemented
3C31×#3079C211yesmaximal, characteristic, complemented
4C31×#3039C211yesmaximal, characteristic, complemented
5C31×#1644C212yesmaximal, complemented
6C31×#1643C212yesmaximal, complemented
7C31×#1640C212yesmaximal, complemented
8C31×#1639C212yesmaximal, complemented
9C31×#1560C211yesmaximal, characteristic, complemented
10C31×#1489C211yesmaximal, characteristic, complemented
11C31×#1489C211yesmaximal, characteristic, complemented
12C2×C31×#137—21no—
13C31×#559C2211yescharacteristic
14C31×#554C2211yescharacteristic
15C31×#554C2211yescharacteristic
16C31×#553—21no—
17C31×#553—21no—
18C31×#551—22no—
19C31×#546—21no—
20C31×#546—21no—
21D42×C31C2211yescharacteristic
22C31×#532C2211yescharacteristic
23C2×C31×C4⋊Q8C2211yescharacteristic, complemented
24C31×#529—21no—
25C31×#529—21no—
26C31×#525—22no—
27C4×#41×C31C2211yescharacteristic
28C4×#41×C31C2211yescharacteristic
29C2×C4×D4×C31—21no—
30C2×C4×D4×C31—21no—
31C31×#489—22no—
32C31×#487C2212yescomplemented
33C31×#486C2212yes—
34C31×#477—21no—
35C31×#476—21no—
36C31×#475C2212yescomplemented
37C31×#474C2212yes—
38C31×#462—21no—
39C31×#462C2212yescomplemented
40C31×#461—21no—
41C31×#461C2212yes—
42C31×#428—21no—
43C31×#423C2211yescharacteristic, complemented
44C31×#423C2211yescharacteristic, complemented
45C31×#419—21no—
46C31×#417—21no—
47C31×#417—22no—
48C4×M16×C31C2211yescharacteristic, complemented
49C31×#333C2212yescomplemented
50C31×#331C2212yes—
51C31×Q8⋊C8C2212yescomplemented
52C31×Q8⋊C8C2212yescomplemented
53C31×D4⋊C8C2212yes—
54C31×D4⋊C8C2212yes—
55C2×#41×C31D411yescharacteristic
56C2×#41×C31D411yescharacteristic
57C2×#41×C31D412yes—
58C22×Q8×C31—21no—
59C22×D4×C31—21no—
60C22×D4×C31—21no—
61C23×C4×C31—22no—
62C31×#137—44no—
63C2×Q16×C31—22no—
64C2×SD16×C31—22no—
65C2×M16×C31—21no—
66C2×M16×C31—21no—
67C2×M16×C31—21no—
68C31×C4⋊Q8—21no—
69C31×C4⋊Q8—21no—
70C31×C4⋊Q8—21no—
71C31×C4⋊Q8C2312yes—
72C31×C4⋊Q8C2311yescharacteristic
73C31×#127C2311yescharacteristic
74C31×#126—22no—
75C31×#126—22no—
76C31×#125—21no—
77C31×#125—21no—
78C31×#124—21no—
79C31×#124—21no—
80C31×#124D412yes—
81C31×#123—22no—
82C31×#123—22no—
83C31×#123—22no—
84C31×#123—22no—
85C31×C22⋊Q8—22no—
86C31×C22⋊Q8—22no—
87C31×C22⋊Q8—21no—
88C31×C22⋊Q8—21no—
89C31×#121—22no—
90C31×#121—22no—
91C31×#121—21no—
92C31×#121—21no—
93C31×#121—21no—
94C31×#121—21no—
95C31×#120—22no—
96C31×#120—22no—
97C4×Q8×C31D411yescharacteristic
98C4×Q8×C31D411yescharacteristic
99C4×Q8×C31C2311yescharacteristic
100C4×Q8×C31C2311yescharacteristic
101C4×D4×C31—22no—
102C4×D4×C31—22no—
103C4×D4×C31—22no—
104C4×D4×C31—22no—
105C4×D4×C31—21no—
106C4×D4×C31—21no—
107C4×D4×C31—21no—
108C4×D4×C31—21no—
109C4×D4×C31—21no—
110C4×D4×C31—21no—
111C4×D4×C31—21no—
112C4×D4×C31—21no—
113C4×D4×C31—21no—
114C4×D4×C31—21no—
115C4×D4×C31D411yescharacteristic
116C4×D4×C31D411yescharacteristic
117C4×D4×C31C2311yescharacteristic
118C4×D4×C31C2311yescharacteristic
119C31×#117—22no—
120C31×#117—21no—
121C31×#117—21no—
122C31×#117D411yescharacteristic
123C31×#117D411yescharacteristic
124C2×C4⋊C4×C31—21no—
125C2×C4⋊C4×C31—21no—
126C2×C4⋊C4×C31—21no—
127C2×C4⋊C4×C31—21no—
128C2×C22⋊C4×C31—22no—
129C2×C22⋊C4×C31—22no—
130C2×C42×C31—21no—
131C2×C42×C31—21no—
132C2×C42×C31C2311yescharacteristic
133C31×#107—22no—
134C31×#106—22no—
135C31×C4⋊C8—21no—
136C31×C4⋊C8—21no—
137C31×C4⋊C8C2312yes—
138C31×C4⋊C8C2312yes—
139C31×#103—22no—
140C31×#103—24no—
141C31×#103—22no—
142C31×#103—22no—
143C31×#102—22no—
144C31×#102—24no—
145C31×#97—21no—
146C4×C8×C31C2312yes—
147C24×C31—22no—
148#41×C31—22no—
149#41×C31—22no—
150#41×C31—41no—
151#41×C31—41no—
152#41×C31—44no—
153C2×Q8×C31—22no—
154C2×Q8×C31—42no—
155C2×Q8×C31—42no—
156C2×Q8×C31—41no—
157C2×Q8×C31C2×D411yescharacteristic
158C2×Q8×C31C2×D411yescharacteristic
159C2×Q8×C31C2×D412yes—
160C2×D4×C31—22no—
161C2×D4×C31—22no—
162C2×D4×C31—21no—
163C2×D4×C31—21no—
164C2×D4×C31—22no—
165C2×D4×C31—21no—
166C2×D4×C31—21no—
167C2×D4×C31—42no—
168C2×D4×C31—42no—
169C2×D4×C31—42no—
170C2×D4×C31—42no—
171C2×D4×C31C2×D411yescharacteristic
172C2×D4×C31C2×D411yescharacteristic
173C2×D4×C31C2×D412yes—
174C22×C4×C31—22no—
175C22×C4×C31—22no—
176C22×C4×C31—22no—
177C22×C4×C31—21no—
178C22×C4×C31—21no—
179C22×C4×C31—21no—
180C22×C4×C31—21no—
181C22×C4×C31—22no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—41no—
185C22×C4×C31—84no—
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D411yescharacteristic
189Q16×C31—44no—
190SD16×C31—44no—
191M16×C31—42no—
192M16×C31—42no—
193M16×C31—42no—
194C2×C8×C31—22no—
195C2×C8×C31—22no—
196C2×C8×C31—22no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—22no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—22no—
201C4⋊C4×C31—21no—
202C4⋊C4×C31—21no—
203C4⋊C4×C31—21no—
204C4⋊C4×C31—21no—
205C4⋊C4×C31—21no—
206C4⋊C4×C31—21no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31—41no—
210C4⋊C4×C31—41no—
211C4⋊C4×C31C2×D411yescharacteristic
212C4⋊C4×C31C2×D411yescharacteristic
213C4⋊C4×C31C2×D411yescharacteristic
214C4⋊C4×C31C2×D411yescharacteristic
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—22no—
220C22⋊C4×C31—22no—
221C22⋊C4×C31—21no—
222C22⋊C4×C31—21no—
223C22⋊C4×C31—21no—
224C22⋊C4×C31—21no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—21no—
228C22⋊C4×C31—21no—
229C42×C31—21no—
230C42×C31—21no—
231C42×C31—21no—
232C42×C31—21no—
233C42×C31—21no—
234C42×C31—21no—
235C42×C31C2×D411yescharacteristic
236C42×C31C2×D411yescharacteristic
237C42×C31C2×D411yescharacteristic
238C42×C31C2411yescharacteristic
239#18532C3111yesmaximal, characteristic, direct product factor, Sylow
240C23×C31—21no—
241C23×C31—21no—
242C23×C31—22no—
243C23×C31—44no—
244C23×C31—44no—
245C23×C31—82no—
246C23×C31#12011yescharacteristic
247Q8×C31—21no—
248Q8×C31—21no—
249Q8×C31—21no—
250Q8×C31—21no—
251Q8×C31—42no—
252Q8×C31—42no—
253Q8×C31—42no—
254Q8×C31—82no—
255D4×C31—21no—
256D4×C31—21no—
257D4×C31—42no—
258D4×C31—42no—
259D4×C31—42no—
260D4×C31—44no—
261D4×C31—44no—
262D4×C31—41no—
263D4×C31—41no—
264D4×C31—41no—
265D4×C31—41no—
266D4×C31—82no—
267D4×C31AGL(1,ℤ/8)12yes—
268D4×C31#13712yescomplemented
269C2×C4×C31—21no—
270C2×C4×C31—21no—
271C2×C4×C31—21no—
272C2×C4×C31—21no—
273C2×C4×C31—22no—
274C2×C4×C31—21no—
275C2×C4×C31—21no—
276C2×C4×C31—21no—
277C2×C4×C31—21no—
278C2×C4×C31—21no—
279C2×C4×C31—21no—
280C2×C4×C31—22no—
281C2×C4×C31—42no—
282C2×C4×C31—42no—
283C2×C4×C31—41no—
284C2×C4×C31—41no—
285C2×C4×C31—41no—
286C2×C4×C31—41no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—44no—
290C2×C4×C31—42no—
291C2×C4×C31—82no—
292C2×C4×C31—82no—
293C2×C4×C31—82no—
294C2×C4×C31—82no—
295C2×C4×C31#12011yescharacteristic
296C2×C4×C31#12011yescharacteristic
297C2×C4×C31#12011yescharacteristic
298C2×C4×C31C22×D411yescharacteristic
299C2×C4×C31C22×D411yescharacteristic
300C2×C4×C31C22×D411yescharacteristic
301C8×C31—42no—
302C8×C31—42no—
303C8×C31—42no—
304#3481C2×C3111yescharacteristic
305#3141C2×C3111yescharacteristic, complemented
306#3079C2×C3111yescharacteristic, complemented
307#3039C2×C3111yescharacteristic, complemented
308#1644C2×C3112yescomplemented
309#1643C2×C3112yescomplemented
310#1640C2×C3112yescomplemented
311#1639C2×C3112yescomplemented
312#1560C2×C3111yescharacteristic, complemented
313#1489C2×C3111yescharacteristic, complemented
314#1489C2×C3111yescharacteristic, complemented
315C22×C31—21no—
316C22×C31—22no—
317C22×C31—21no—
318C22×C31—22no—
319C22×C31—21no—
320C22×C31—41no—
321C22×C31—41no—
322C22×C31—41no—
323C22×C31—41no—
324C22×C31—42no—
325C22×C31—42no—
326C22×C31—42no—
327C22×C31—88no—
328C22×C31C2×#12011yescharacteristic
329C4×C31—21no—
330C4×C31—21no—
331C4×C31—21no—
332C4×C31—41no—
333C4×C31—41no—
334C4×C31—41no—
335C4×C31—41no—
336C4×C31—41no—
337C4×C31—41no—
338C4×C31—42no—
339C4×C31—82no—
340C4×C31#45512yes—
341C4×C31C2×AGL(1,ℤ/8)11yescharacteristic
342C4×C31C2×#13711yescharacteristic
343C4×C31#57511yescharacteristic
344C4×C31#57511yescharacteristic
345C2×#137—21no—
346#559C22×C3111yescharacteristic
347#554C22×C3111yescharacteristic
348#554C22×C3111yescharacteristic
349#553—21no—
350#553—21no—
351#551—22no—
352#546—21no—
353#546—21no—
354D42C22×C3111yescharacteristic
355#532C22×C3111yescharacteristic
356C2×C4⋊Q8C22×C3111yescharacteristic, complemented
357#529—21no—
358#529—21no—
359#525—22no—
360C4×#41C22×C3111yescharacteristic
361C4×#41C22×C3111yescharacteristic
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364#489—22no—
365#487C22×C3112yescomplemented
366#486C22×C3112yes—
367#477—21no—
368#476—21no—
369#475C22×C3112yescomplemented
370#474C22×C3112yes—
371#462—21no—
372#462C22×C3112yescomplemented
373#461—21no—
374#461C22×C3112yes—
375#428—21no—
376#423C22×C3111yescharacteristic, complemented
377#423C22×C3111yescharacteristic, complemented
378#419—21no—
379#417—21no—
380#417—22no—
381C4×M16C22×C3111yescharacteristic, complemented
382#333C22×C3112yescomplemented
383#331C22×C3112yes—
384Q8⋊C8C22×C3112yescomplemented
385Q8⋊C8C22×C3112yescomplemented
386D4⋊C8C22×C3112yes—
387D4⋊C8C22×C3112yes—
388C2×C31—41no—
389C2×C31—42no—
390C2×C31—42no—
391C2×C31—82no—
392C2×C31#300611yescharacteristic
393C2×C31#300711yescharacteristic
394C2×C31C2×#45511yescharacteristic
395C2×#41D4×C3111yescharacteristic
396C2×#41D4×C3111yescharacteristic
397C2×#41D4×C3112yes—
398C22×Q8—21no—
399C22×D4—21no—
400C22×D4—21no—
401C23×C4—22no—
402#137—44no—
403C2×Q16—22no—
404C2×SD16—22no—
405C2×M16—21no—
406C2×M16—21no—
407C2×M16—21no—
408C4⋊Q8—21no—
409C4⋊Q8—21no—
410C4⋊Q8—21no—
411C4⋊Q8C23×C3112yes—
412C4⋊Q8C23×C3111yescharacteristic
413#127C23×C3111yescharacteristic
414#126—22no—
415#126—22no—
416#125—21no—
417#125—21no—
418#124—21no—
419#124—21no—
420#124D4×C3112yes—
421#123—22no—
422#123—22no—
423#123—22no—
424#123—22no—
425C22⋊Q8—22no—
426C22⋊Q8—22no—
427C22⋊Q8—21no—
428C22⋊Q8—21no—
429#121—22no—
430#121—22no—
431#121—21no—
432#121—21no—
433#121—21no—
434#121—21no—
435#120—22no—
436#120—22no—
437C4×Q8D4×C3111yescharacteristic
438C4×Q8D4×C3111yescharacteristic
439C4×Q8C23×C3111yescharacteristic
440C4×Q8C23×C3111yescharacteristic
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445C4×D4—21no—
446C4×D4—21no—
447C4×D4—21no—
448C4×D4—21no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4D4×C3111yescharacteristic
456C4×D4D4×C3111yescharacteristic
457C4×D4C23×C3111yescharacteristic
458C4×D4C23×C3111yescharacteristic
459#117—22no—
460#117—21no—
461#117—21no—
462#117D4×C3111yescharacteristic
463#117D4×C3111yescharacteristic
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—22no—
470C2×C42—21no—
471C2×C42—21no—
472C2×C42C23×C3111yescharacteristic
473#107—22no—
474#106—22no—
475C4⋊C8—21no—
476C4⋊C8—21no—
477C4⋊C8C23×C3112yes—
478C4⋊C8C23×C3112yes—
479#103—22no—
480#103—24no—
481#103—22no—
482#103—22no—
483#102—22no—
484#102—24no—
485#97—21no—
486C4×C8C23×C3112yes—
487C31#1853211yescharacteristic, direct product factor, Sylow
488C24—22no—
489#41—22no—
490#41—22no—
491#41—41no—
492#41—41no—
493#41—44no—
494C2×Q8—22no—
495C2×Q8—42no—
496C2×Q8—42no—
497C2×Q8—41no—
498C2×Q8C2×D4×C3111yescharacteristic
499C2×Q8C2×D4×C3111yescharacteristic
500C2×Q8C2×D4×C3112yes—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—42no—
512C2×D4C2×D4×C3111yescharacteristic
513C2×D4C2×D4×C3111yescharacteristic
514C2×D4C2×D4×C3112yes—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—41no—
526C22×C4—84no—
527C22×C4C2×D4×C3111yescharacteristic
528C22×C4C2×D4×C3111yescharacteristic
529C22×C4C2×D4×C3111yescharacteristic
530Q16—44no—
531SD16—44no—
532M16—42no—
533M16—42no—
534M16—42no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C4⋊C4C2×D4×C3111yescharacteristic
553C4⋊C4C2×D4×C3111yescharacteristic
554C4⋊C4C2×D4×C3111yescharacteristic
555C4⋊C4C2×D4×C3111yescharacteristic
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42C2×D4×C3111yescharacteristic
577C42C2×D4×C3111yescharacteristic
578C42C2×D4×C3111yescharacteristic
579C42C24×C3111yescharacteristic
580C23—21no—
581C23—21no—
582C23—22no—
583C23—44no—
584C23—44no—
585C23—82no—
586C23C31×#12011yescharacteristic
587Q8—21no—
588Q8—21no—
589Q8—21no—
590Q8—21no—
591Q8—42no—
592Q8—42no—
593Q8—42no—
594Q8—82no—
595D4—21no—
596D4—21no—
597D4—42no—
598D4—42no—
599D4—42no—
600D4—44no—
601D4—44no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—82no—
607D4C31×AGL(1,ℤ/8)12yes—
608D4C31×#13712yescomplemented
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—44no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4C31×#12011yescharacteristic
636C2×C4C31×#12011yescharacteristic
637C2×C4C31×#12011yescharacteristic
638C2×C4C22×D4×C3111yescharacteristic
639C2×C4C22×D4×C3111yescharacteristic
640C2×C4C22×D4×C3111yescharacteristic
641C8—42no—
642C8—42no—
643C8—42no—
644C22—21no—
645C22—22no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—88no—
657C22C2×C31×#12011yescharacteristic
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—42no—
668C4—82no—
669C4C31×#45512yes—
670C4C2×C31×AGL(1,ℤ/8)11yescharacteristic
671C4C2×C31×#13711yescharacteristic
672C4C31×#57511yescharacteristic
673C4C31×#57511yescharacteristic
674C2—41no—
675C2—42no—
676C2—42no—
677C2—82no—
678C2C31×#300611yescharacteristic
679C2C31×#300711yescharacteristic
680C2C2×C31×#45511yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC42C24×C31
prime radicalC31×#3481C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C2×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#3141C2semidirect
3. C31×#3079C2semidirect
4. C31×#3039C2semidirect
5. C31×#1644C2semidirect
6. C31×#1643C2semidirect
7. C31×#1640C2semidirect
8. C31×#1639C2semidirect
9. C31×#1560C2semidirect
10. C31×#1489C2semidirect
11. C31×#1489C2semidirect
23. C2×C31×C4⋊Q8C22semidirect
32. C31×#487C22semidirect
36. C31×#475C22semidirect
39. C31×#462C22semidirect
43. C31×#423C22semidirect
44. C31×#423C22semidirect
48. C4×M16×C31C22semidirect
49. C31×#333C22semidirect
51. C31×Q8⋊C8C22semidirect
52. C31×Q8⋊C8C22semidirect
239. #18532C31direct (N × H)
268. D4×C31#137semidirect
305. #3141C2×C31semidirect
306. #3079C2×C31semidirect
307. #3039C2×C31semidirect
308. #1644C2×C31semidirect
309. #1643C2×C31semidirect
310. #1640C2×C31semidirect
311. #1639C2×C31semidirect
312. #1560C2×C31semidirect
313. #1489C2×C31semidirect
314. #1489C2×C31semidirect
356. C2×C4⋊Q8C22×C31semidirect
365. #487C22×C31semidirect
369. #475C22×C31semidirect
372. #462C22×C31semidirect
376. #423C22×C31semidirect
377. #423C22×C31semidirect
381. C4×M16C22×C31semidirect
382. #333C22×C31semidirect
384. Q8⋊C8C22×C31semidirect
385. Q8⋊C8C22×C31semidirect
487. C31#18532direct (N × H)
608. D4C31×#137semidirect

Maximal subgroups

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

subgroupindex
C31×#34812
C31×#31412
C31×#30792
C31×#30392
C31×#16442
C31×#16432
C31×#16402
C31×#16392
C31×#15602
C31×#14892
#1853231