Finite Group Databasebeta

← C31×#18578 #21475337

Subgroups — C31×#18578 #21475337

Order 7936.

1028 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3520C211yesmaximal, characteristic, complemented
2C31×#3217C211yesmaximal, characteristic, complemented
3C31×#3138C211yesmaximal, characteristic, complemented
4C2×C31×#459C211yesmaximal, characteristic, complemented
5C31×#1628C212yesmaximal, complemented
6C31×#1627C212yesmaximal, complemented
7C31×#1625C212yesmaximal, complemented
8C31×#1625C212yesmaximal, complemented
9C31×#1552C211yesmaximal, characteristic, complemented
10C31×#1490C211yesmaximal, characteristic, complemented
11C31×#1483C211yesmaximal, characteristic, complemented
12C22×D8×C31—21no—
13C31×#556C2211yescharacteristic, complemented
14C31×#554—21no—
15C31×#552—21no—
16C31×#551—22no—
17D4×Q8×C31C2211yescharacteristic, complemented
18C31×#548—21no—
19C31×#547C2211yescharacteristic, complemented
20C31×#547C2211yescharacteristic, complemented
21C31×#546—21no—
22C31×#542—21no—
23C31×#539—22no—
24C31×#533C2211yescharacteristic
25C2×C31×#127C2211yescharacteristic
26C31×#529C2211yescharacteristic
27C31×#525—21no—
28C2×C31×C22⋊Q8—21no—
29C31×#520—21no—
30C2×C4×D4×C31C2211yescharacteristic
31C31×#496—21no—
32C31×#490—22no—
33C31×#490—21no—
34C31×#486C2212yescomplemented
35C31×#486C2212yescomplemented
36C31×#460C2212yescomplemented
37C31×#459—21no—
38C31×#459—21no—
39C31×#459C2212yes—
40C31×#459C2212yes—
41C31×#459C2212yescomplemented
42C31×#450—21no—
43C31×#447—21no—
44C31×#432C2211yescharacteristic
45C2×C31×C4⋊C8C2211yescharacteristic
46C31×#418—22no—
47C2×C31×#102—21no—
48C4×M16×C31C2211yescharacteristic
49C31×#332C2212yescomplemented
50C31×#332C2212yescomplemented
51C31×Q8⋊C8C2212yescomplemented
52C31×D4⋊C8C2212yescomplemented
53C31×D4⋊C8C2212yescomplemented
54C31×D4⋊C8C2212yescomplemented
55C2×#41×C31—21no—
56C2×#41×C31—21no—
57C22×Q8×C31—21no—
58C22×D4×C31—21no—
59C22×D4×C31—21no—
60C22×D4×C31—21no—
61C22×D4×C31D411yescharacteristic
62C23×C4×C31—21no—
63C2×SD16×C31—22no—
64C2×D8×C31—22no—
65C2×D8×C31—22no—
66C2×D8×C31—22no—
67C2×D8×C31—44no—
68C2×M16×C31—21no—
69C22×C8×C31—21no—
70C31×C4⋊Q8—21no—
71C31×C4⋊Q8C2311yescharacteristic
72C31×C4⋊Q8C2311yescharacteristic
73C31×#127—21no—
74C31×#127—21no—
75C31×#127—21no—
76C31×#127C2312yes—
77C31×#126—22no—
78C31×#126—22no—
79C31×#126—21no—
80C31×#125—22no—
81C31×#125D411yescharacteristic
82C31×#125D412yes—
83C31×#124—22no—
84C31×#124—21no—
85C31×#124D411yescharacteristic
86C31×#123—22no—
87C31×#123—22no—
88C31×#123—21no—
89C31×#123—22no—
90C31×#123—22no—
91C31×C22⋊Q8—22no—
92C31×C22⋊Q8—22no—
93C31×C22⋊Q8—22no—
94C31×C22⋊Q8—21no—
95C31×C22⋊Q8—21no—
96C31×C22⋊Q8—21no—
97C31×C22⋊Q8—21no—
98C31×C22⋊Q8—21no—
99C31×C22⋊Q8—22no—
100C31×C22⋊Q8—21no—
101C31×C22⋊Q8D411yescharacteristic
102C31×#121—22no—
103C31×#121—21no—
104C31×#121—21no—
105C31×#121D411yescharacteristic
106C31×#120—22no—
107C4×Q8×C31—21no—
108C4×Q8×C31—21no—
109C4×Q8×C31—21no—
110C4×Q8×C31C2311yescharacteristic
111C4×D4×C31—22no—
112C4×D4×C31—22no—
113C4×D4×C31—22no—
114C4×D4×C31—21no—
115C4×D4×C31—21no—
116C4×D4×C31—21no—
117C4×D4×C31—21no—
118C4×D4×C31D411yescharacteristic
119C4×D4×C31D411yescharacteristic
120C4×D4×C31C2311yescharacteristic
121C4×D4×C31C2311yescharacteristic
122C4×D4×C31C2311yescharacteristic
123C31×#117—22no—
124C31×#117—21no—
125C31×#117—21no—
126C31×#117D412yes—
127C2×C4⋊C4×C31—22no—
128C2×C4⋊C4×C31—21no—
129C2×C4⋊C4×C31—21no—
130C2×C4⋊C4×C31D411yescharacteristic
131C2×C22⋊C4×C31—22no—
132C2×C22⋊C4×C31—21no—
133C2×C42×C31C2311yescharacteristic
134C31×C4⋊C8—21no—
135C31×C4⋊C8C2312yes—
136C31×C4⋊C8C2312yes—
137C31×#102—22no—
138C31×#102—22no—
139C31×#102—24no—
140C31×#102—24no—
141C31×#102—22no—
142C31×#102—22no—
143C31×C22⋊C8—21no—
144C31×#97—21no—
145C31×#97—21no—
146C4×C8×C31C2312yes—
147C24×C31—21no—
148C24×C31—41no—
149#41×C31—42no—
150#41×C31—42no—
151#41×C31—82no—
152C2×Q8×C31—22no—
153C2×Q8×C31—21no—
154C2×Q8×C31—21no—
155C2×Q8×C31—82no—
156C2×Q8×C31C2×D411yescharacteristic
157C2×D4×C31—22no—
158C2×D4×C31—22no—
159C2×D4×C31—21no—
160C2×D4×C31—22no—
161C2×D4×C31—21no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—22no—
165C2×D4×C31—41no—
166C2×D4×C31—42no—
167C2×D4×C31—44no—
168C2×D4×C31—42no—
169C2×D4×C31—41no—
170C2×D4×C31—41no—
171C2×D4×C31—41no—
172C2×D4×C31—82no—
173C2×D4×C31C2×D411yescharacteristic
174C2×D4×C31C2×D411yescharacteristic
175C2×D4×C31C2×D411yescharacteristic
176C22×C4×C31—22no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—21no—
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—21no—
185C22×C4×C31—82no—
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D411yescharacteristic
189SD16×C31—82no—
190D8×C31—44no—
191D8×C31—44no—
192D8×C31—82no—
193M16×C31—42no—
194C2×C8×C31—22no—
195C2×C8×C31—22no—
196C2×C8×C31—22no—
197C2×C8×C31—42no—
198C4⋊C4×C31—22no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—22no—
201C4⋊C4×C31—22no—
202C4⋊C4×C31—21no—
203C4⋊C4×C31—22no—
204C4⋊C4×C31—21no—
205C4⋊C4×C31—21no—
206C4⋊C4×C31—21no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—21no—
209C4⋊C4×C31—21no—
210C4⋊C4×C31—21no—
211C4⋊C4×C31C2×D411yescharacteristic
212C4⋊C4×C31C2×D411yescharacteristic
213C4⋊C4×C31C2×D411yescharacteristic
214C4⋊C4×C31C2×D411yescharacteristic
215C4⋊C4×C31C2×D412yes—
216C4⋊C4×C31C2×D412yes—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—22no—
220C22⋊C4×C31—22no—
221C22⋊C4×C31—22no—
222C22⋊C4×C31—21no—
223C22⋊C4×C31—22no—
224C22⋊C4×C31—21no—
225C22⋊C4×C31—21no—
226C22⋊C4×C31—21no—
227C22⋊C4×C31—21no—
228C22⋊C4×C31—21no—
229C22⋊C4×C31—21no—
230C22⋊C4×C31—21no—
231C22⋊C4×C31—21no—
232C42×C31—22no—
233C42×C31—22no—
234C42×C31—21no—
235C42×C31C2×D411yescharacteristic
236C42×C31C2×D411yescharacteristic
237C42×C31C2×D411yescharacteristic
238C42×C31C2411yescharacteristic
239#18578C3111yesmaximal, characteristic, direct product factor, Sylow
240C23×C31—21no—
241C23×C31—21no—
242C23×C31—21no—
243C23×C31—42no—
244C23×C31—42no—
245C23×C31—42no—
246C23×C31—81no—
247C23×C31—82no—
248C23×C31—82no—
249C23×C31—82no—
250C23×C31#12011yescharacteristic
251Q8×C31—22no—
252Q8×C31—41no—
253Q8×C31—41no—
254Q8×C31—42no—
255Q8×C31—82no—
256D4×C31—21no—
257D4×C31—21no—
258D4×C31—21no—
259D4×C31—22no—
260D4×C31—42no—
261D4×C31—44no—
262D4×C31—44no—
263D4×C31—42no—
264D4×C31—42no—
265D4×C31—42no—
266D4×C31—42no—
267D4×C31—42no—
268D4×C31—82no—
269D4×C31—82no—
270D4×C31—82no—
271D4×C31—82no—
272D4×C31AGL(1,ℤ/8)12yes—
273C2×C4×C31—22no—
274C2×C4×C31—21no—
275C2×C4×C31—21no—
276C2×C4×C31—22no—
277C2×C4×C31—21no—
278C2×C4×C31—22no—
279C2×C4×C31—21no—
280C2×C4×C31—21no—
281C2×C4×C31—22no—
282C2×C4×C31—21no—
283C2×C4×C31—21no—
284C2×C4×C31—44no—
285C2×C4×C31—41no—
286C2×C4×C31—41no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—81no—
290C2×C4×C31—81no—
291C2×C4×C31—81no—
292C2×C4×C31—82no—
293C2×C4×C31—82no—
294C2×C4×C31#12011yescharacteristic
295C2×C4×C31#12011yescharacteristic
296C2×C4×C31#12011yescharacteristic
297C2×C4×C31C22×D411yescharacteristic
298C2×C4×C31C22×D411yescharacteristic
299C2×C4×C31C22×D411yescharacteristic
300C8×C31—42no—
301C8×C31—42no—
302C8×C31—42no—
303#3520C2×C3111yescharacteristic, complemented
304#3217C2×C3111yescharacteristic, complemented
305#3138C2×C3111yescharacteristic, complemented
306C2×#459C2×C3111yescharacteristic, complemented
307#1628C2×C3112yescomplemented
308#1627C2×C3112yescomplemented
309#1625C2×C3112yescomplemented
310#1625C2×C3112yescomplemented
311#1552C2×C3111yescharacteristic, complemented
312#1490C2×C3111yescharacteristic, complemented
313#1483C2×C3111yescharacteristic, complemented
314C22×C31—21no—
315C22×C31—21no—
316C22×C31—22no—
317C22×C31—41no—
318C22×C31—41no—
319C22×C31—41no—
320C22×C31—41no—
321C22×C31—41no—
322C22×C31—41no—
323C22×C31—41no—
324C22×C31—41no—
325C22×C31—84no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31—82no—
329C22×C31—164no—
330C22×C31#45412yes—
331C22×C31C2×#12011yescharacteristic
332C4×C31—21no—
333C4×C31—21no—
334C4×C31—21no—
335C4×C31—21no—
336C4×C31—41no—
337C4×C31—42no—
338C4×C31—41no—
339C4×C31—41no—
340C4×C31—42no—
341C4×C31—41no—
342C4×C31—41no—
343C4×C31C2×AGL(1,ℤ/8)11yescharacteristic
344C4×C31#57511yescharacteristic
345C4×C31#57612yes—
346C22×D8—21no—
347#556C22×C3111yescharacteristic, complemented
348#554—21no—
349#552—21no—
350#551—22no—
351D4×Q8C22×C3111yescharacteristic, complemented
352#548—21no—
353#547C22×C3111yescharacteristic, complemented
354#547C22×C3111yescharacteristic, complemented
355#546—21no—
356#542—21no—
357#539—22no—
358#533C22×C3111yescharacteristic
359C2×#127C22×C3111yescharacteristic
360#529C22×C3111yescharacteristic
361#525—21no—
362C2×C22⋊Q8—21no—
363#520—21no—
364C2×C4×D4C22×C3111yescharacteristic
365#496—21no—
366#490—22no—
367#490—21no—
368#486C22×C3112yescomplemented
369#486C22×C3112yescomplemented
370#460C22×C3112yescomplemented
371#459—21no—
372#459—21no—
373#459C22×C3112yes—
374#459C22×C3112yes—
375#459C22×C3112yescomplemented
376#450—21no—
377#447—21no—
378#432C22×C3111yescharacteristic
379C2×C4⋊C8C22×C3111yescharacteristic
380#418—22no—
381C2×#102—21no—
382C4×M16C22×C3111yescharacteristic
383#332C22×C3112yescomplemented
384#332C22×C3112yescomplemented
385Q8⋊C8C22×C3112yescomplemented
386D4⋊C8C22×C3112yescomplemented
387D4⋊C8C22×C3112yescomplemented
388D4⋊C8C22×C3112yescomplemented
389C2×C31—22no—
390C2×C31—42no—
391C2×C31—81no—
392C2×C31—81no—
393C2×C31—162no—
394C2×C31#300611yescharacteristic
395C2×C31#300811yescharacteristic
396C2×C31C2×#45411yescharacteristic
397C2×#41—21no—
398C2×#41—21no—
399C22×Q8—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C22×D4D4×C3111yescharacteristic
404C23×C4—21no—
405C2×SD16—22no—
406C2×D8—22no—
407C2×D8—22no—
408C2×D8—22no—
409C2×D8—44no—
410C2×M16—21no—
411C22×C8—21no—
412C4⋊Q8—21no—
413C4⋊Q8C23×C3111yescharacteristic
414C4⋊Q8C23×C3111yescharacteristic
415#127—21no—
416#127—21no—
417#127—21no—
418#127C23×C3112yes—
419#126—22no—
420#126—22no—
421#126—21no—
422#125—22no—
423#125D4×C3111yescharacteristic
424#125D4×C3112yes—
425#124—22no—
426#124—21no—
427#124D4×C3111yescharacteristic
428#123—22no—
429#123—22no—
430#123—21no—
431#123—22no—
432#123—22no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—22no—
442C22⋊Q8—21no—
443C22⋊Q8D4×C3111yescharacteristic
444#121—22no—
445#121—21no—
446#121—21no—
447#121D4×C3111yescharacteristic
448#120—22no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8C23×C3111yescharacteristic
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—21no—
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4D4×C3111yescharacteristic
461C4×D4D4×C3111yescharacteristic
462C4×D4C23×C3111yescharacteristic
463C4×D4C23×C3111yescharacteristic
464C4×D4C23×C3111yescharacteristic
465#117—22no—
466#117—21no—
467#117—21no—
468#117D4×C3112yes—
469C2×C4⋊C4—22no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4D4×C3111yescharacteristic
473C2×C22⋊C4—22no—
474C2×C22⋊C4—21no—
475C2×C42C23×C3111yescharacteristic
476C4⋊C8—21no—
477C4⋊C8C23×C3112yes—
478C4⋊C8C23×C3112yes—
479#102—22no—
480#102—22no—
481#102—24no—
482#102—24no—
483#102—22no—
484#102—22no—
485C22⋊C8—21no—
486#97—21no—
487#97—21no—
488C4×C8C23×C3112yes—
489C31#1857811yescharacteristic, direct product factor, Sylow
490C24—21no—
491C24—41no—
492#41—42no—
493#41—42no—
494#41—82no—
495C2×Q8—22no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—82no—
499C2×Q8C2×D4×C3111yescharacteristic
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—41no—
509C2×D4—42no—
510C2×D4—44no—
511C2×D4—42no—
512C2×D4—41no—
513C2×D4—41no—
514C2×D4—41no—
515C2×D4—82no—
516C2×D4C2×D4×C3111yescharacteristic
517C2×D4C2×D4×C3111yescharacteristic
518C2×D4C2×D4×C3111yescharacteristic
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—82no—
529C22×C4C2×D4×C3111yescharacteristic
530C22×C4C2×D4×C3111yescharacteristic
531C22×C4C2×D4×C3111yescharacteristic
532SD16—82no—
533D8—44no—
534D8—44no—
535D8—82no—
536M16—42no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—42no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4C2×D4×C3111yescharacteristic
555C4⋊C4C2×D4×C3111yescharacteristic
556C4⋊C4C2×D4×C3111yescharacteristic
557C4⋊C4C2×D4×C3111yescharacteristic
558C4⋊C4C2×D4×C3112yes—
559C4⋊C4C2×D4×C3112yes—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—21no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42C2×D4×C3111yescharacteristic
579C42C2×D4×C3111yescharacteristic
580C42C2×D4×C3111yescharacteristic
581C42C24×C3111yescharacteristic
582C23—21no—
583C23—21no—
584C23—21no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—81no—
589C23—82no—
590C23—82no—
591C23—82no—
592C23C31×#12011yescharacteristic
593Q8—22no—
594Q8—41no—
595Q8—41no—
596Q8—42no—
597Q8—82no—
598D4—21no—
599D4—21no—
600D4—21no—
601D4—22no—
602D4—42no—
603D4—44no—
604D4—44no—
605D4—42no—
606D4—42no—
607D4—42no—
608D4—42no—
609D4—42no—
610D4—82no—
611D4—82no—
612D4—82no—
613D4—82no—
614D4C31×AGL(1,ℤ/8)12yes—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—44no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4C31×#12011yescharacteristic
637C2×C4C31×#12011yescharacteristic
638C2×C4C31×#12011yescharacteristic
639C2×C4C22×D4×C3111yescharacteristic
640C2×C4C22×D4×C3111yescharacteristic
641C2×C4C22×D4×C3111yescharacteristic
642C8—42no—
643C8—42no—
644C8—42no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—84no—
657C22—82no—
658C22—82no—
659C22—82no—
660C22—164no—
661C22C31×#45412yes—
662C22C2×C31×#12011yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—41no—
668C4—42no—
669C4—41no—
670C4—41no—
671C4—42no—
672C4—41no—
673C4—41no—
674C4C2×C31×AGL(1,ℤ/8)11yescharacteristic
675C4C31×#57511yescharacteristic
676C4C31×#57612yes—
677C2—22no—
678C2—42no—
679C2—81no—
680C2—81no—
681C2—162no—
682C2C31×#300611yescharacteristic
683C2C31×#300811yescharacteristic
684C2C2×C31×#45411yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC42C24×C31
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
1. C31×#3520C2semidirect
2. C31×#3217C2semidirect
3. C31×#3138C2semidirect
4. C2×C31×#459C2semidirect
5. C31×#1628C2semidirect
6. C31×#1627C2semidirect
7. C31×#1625C2semidirect
8. C31×#1625C2semidirect
9. C31×#1552C2semidirect
10. C31×#1490C2semidirect
11. C31×#1483C2semidirect
13. C31×#556C22semidirect
17. D4×Q8×C31C22semidirect
19. C31×#547C22semidirect
20. C31×#547C22semidirect
34. C31×#486C22semidirect
35. C31×#486C22semidirect
36. C31×#460C22semidirect
41. C31×#459C22semidirect
49. C31×#332C22semidirect
50. C31×#332C22semidirect
51. C31×Q8⋊C8C22semidirect
52. C31×D4⋊C8C22semidirect
53. C31×D4⋊C8C22semidirect
54. C31×D4⋊C8C22semidirect
239. #18578C31direct (N × H)
303. #3520C2×C31semidirect
304. #3217C2×C31semidirect
305. #3138C2×C31semidirect
306. C2×#459C2×C31semidirect
307. #1628C2×C31semidirect
308. #1627C2×C31semidirect
309. #1625C2×C31semidirect
310. #1625C2×C31semidirect
311. #1552C2×C31semidirect
312. #1490C2×C31semidirect
313. #1483C2×C31semidirect
347. #556C22×C31semidirect
351. D4×Q8C22×C31semidirect
353. #547C22×C31semidirect
354. #547C22×C31semidirect
368. #486C22×C31semidirect
369. #486C22×C31semidirect
370. #460C22×C31semidirect
375. #459C22×C31semidirect
383. #332C22×C31semidirect
384. #332C22×C31semidirect
385. Q8⋊C8C22×C31semidirect
386. D4⋊C8C22×C31semidirect
387. D4⋊C8C22×C31semidirect
388. D4⋊C8C22×C31semidirect
489. C31#18578direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35202
C31×#32172
C31×#31382
C2×C31×#4592
C31×#16282
C31×#16272
C31×#16252
C31×#15522
C31×#14902
C31×#14832
#1857831