Finite Group Databasebeta

← C31×#18274 #21475033

Subgroups — C31×#18274 #21475033

Order 7936.

1058 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3561C211yesmaximal, characteristic, complemented
2C31×#3110C211yesmaximal, characteristic, complemented
3C31×#3105C211yesmaximal, characteristic, complemented
4C31×#2540C211yesmaximal, characteristic, complemented
5C31×#1618C212yesmaximal, complemented
6C31×#1614C212yesmaximal, complemented
7C31×#1600C212yesmaximal, complemented
8C31×#1596C212yesmaximal, complemented
9C31×#1509C211yesmaximal, characteristic, complemented
10C31×#1503C211yesmaximal, characteristic, complemented
11C31×#1469C211yesmaximal, characteristic, complemented
12C31×#563—21no—
13C31×#562—21no—
14C31×#556—21no—
15C31×#551—22no—
16D4×Q8×C31—21no—
17C31×#548—21no—
18C31×#546—21no—
19C31×#543C2212yes—
20C31×#542—21no—
21C31×#542—22no—
22C31×#538C2212yes—
23C31×#536—21no—
24C31×#533C2211yescharacteristic
25C31×#529C2211yescharacteristic
26C2×C31×#124C2211yescharacteristic
27C2×C31×C22⋊Q8—21no—
28C2×C31×#121—21no—
29C2×C4×D4×C31C2211yescharacteristic
30C31×#484C2211yescharacteristic
31C31×#484C2212yes—
32C31×#481C2211yescharacteristic
33C31×#478—21no—
34C31×#474—21no—
35C31×#463—21no—
36C31×#461—21no—
37C31×#450C2211yescharacteristic
38C31×#450C2212yes—
39C31×#447C2211yescharacteristic
40C31×#440—22no—
41C4×SD16×C31—21no—
42C4×D8×C31—21no—
43C31×#432C2211yescharacteristic
44C31×#431C2211yescharacteristic
45C31×#399C2212yes—
46C31×#392C2212yes—
47C31×#390—22no—
48C4×C4⋊C4×C31C2211yescharacteristic
49C31×#328C2212yes—
50C31×#328C2212yes—
51C31×#328C2212yes—
52C31×#327C2212yes—
53C31×#323C2212yes—
54C31×#323C2212yes—
55C2×#41×C31—21no—
56C22×Q8×C31—21no—
57C22×Q8×C31D411yescharacteristic
58C22×D4×C31—22no—
59C22×D4×C31D411yescharacteristic
60C22×D4×C31C2311yescharacteristic
61C23×C4×C31—21no—
62C2×SD16×C31—21no—
63C2×SD16×C31—22no—
64C2×D8×C31—21no—
65C31×C4⋊Q8—21no—
66C31×C4⋊Q8—22no—
67C31×C4⋊Q8D411yescharacteristic, complemented
68C31×C4⋊Q8D411yescharacteristic, complemented
69C31×#126—22no—
70C31×#126—22no—
71C31×#126—22no—
72C31×#126—21no—
73C31×#125—21no—
74C31×#125D411yescharacteristic, complemented
75C31×#124—21no—
76C31×#124—22no—
77C31×#124—22no—
78C31×#124—21no—
79C31×#124—21no—
80C31×#124—21no—
81C31×#124—21no—
82C31×#124D411yescharacteristic, complemented
83C31×#123—22no—
84C31×#123—22no—
85C31×#123—22no—
86C31×#123—21no—
87C31×#123—22no—
88C31×C22⋊Q8—22no—
89C31×C22⋊Q8—21no—
90C31×C22⋊Q8—22no—
91C31×C22⋊Q8—22no—
92C31×C22⋊Q8—22no—
93C31×C22⋊Q8—21no—
94C31×C22⋊Q8—22no—
95C31×C22⋊Q8—22no—
96C31×C22⋊Q8—22no—
97C31×C22⋊Q8—44no—
98C31×C22⋊Q8C2311yescharacteristic
99C31×C22⋊Q8C2312yes—
100C31×#121—21no—
101C31×#121—22no—
102C31×#121—22no—
103C31×#121—44no—
104C31×#121C2311yescharacteristic
105C31×#120—22no—
106C4×Q8×C31—21no—
107C4×Q8×C31—21no—
108C4×Q8×C31D411yescharacteristic, complemented
109C4×Q8×C31D412yescomplemented
110C4×D4×C31—21no—
111C4×D4×C31—22no—
112C4×D4×C31—21no—
113C4×D4×C31—22no—
114C4×D4×C31—21no—
115C4×D4×C31—21no—
116C4×D4×C31—21no—
117C4×D4×C31—21no—
118C4×D4×C31D411yescharacteristic, complemented
119C31×#117—22no—
120C31×#117—21no—
121C31×#117—21no—
122C2×C4⋊C4×C31—21no—
123C2×C4⋊C4×C31—22no—
124C2×C4⋊C4×C31C2311yescharacteristic
125C2×C22⋊C4×C31—22no—
126C2×C22⋊C4×C31—22no—
127C2×C22⋊C4×C31—21no—
128C2×C22⋊C4×C31—22no—
129C2×C22⋊C4×C31D412yes—
130C2×C22⋊C4×C31C2312yes—
131C2×C42×C31—21no—
132C2×C42×C31C2311yescharacteristic
133C31×#107—21no—
134C31×#107—22no—
135C31×#106—21no—
136C31×C4⋊C8—21no—
137C31×C4⋊C8—21no—
138C31×#103—21no—
139C31×#103—22no—
140C31×#102—21no—
141C31×#102—21no—
142C31×#102—21no—
143C31×#102—22no—
144C31×C22⋊C8C2311yescharacteristic
145C31×C22⋊C8C2311yescharacteristic
146C31×C22⋊C8C2312yes—
147C31×#97—21no—
148C4×C8×C31—21no—
149C31×#95C2312yes—
150C24×C31—21no—
151C24×C31C2×D412yes—
152#41×C31—82no—
153C2×Q8×C31—22no—
154C2×Q8×C31—21no—
155C2×Q8×C31—21no—
156C2×Q8×C31—21no—
157C2×Q8×C31—42no—
158C2×Q8×C31—82no—
159C2×Q8×C31C2×D411yescharacteristic
160C2×Q8×C31C2×D412yes—
161C2×D4×C31—21no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—21no—
165C2×D4×C31—21no—
166C2×D4×C31—21no—
167C2×D4×C31—21no—
168C2×D4×C31—42no—
169C2×D4×C31—44no—
170C2×D4×C31—42no—
171C2×D4×C31—44no—
172C2×D4×C31—82no—
173C2×D4×C31C2×D411yescharacteristic
174C22×C4×C31—22no—
175C22×C4×C31—22no—
176C22×C4×C31—22no—
177C22×C4×C31—22no—
178C22×C4×C31—21no—
179C22×C4×C31—21no—
180C22×C4×C31—42no—
181C22×C4×C31—42no—
182C22×C4×C31—41no—
183C22×C4×C31—41no—
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31C2×D411yescharacteristic
186C22×C4×C31C2×D412yes—
187C22×C4×C31C2411yescharacteristic
188SD16×C31—42no—
189SD16×C31—44no—
190D8×C31—42no—
191C2×C8×C31—21no—
192C2×C8×C31—21no—
193C2×C8×C31—22no—
194C4⋊C4×C31—24no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—22no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—22no—
199C4⋊C4×C31—21no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—21no—
202C4⋊C4×C31—21no—
203C4⋊C4×C31—21no—
204C4⋊C4×C31—21no—
205C4⋊C4×C31—22no—
206C4⋊C4×C31—21no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—21no—
209C4⋊C4×C31—21no—
210C4⋊C4×C31—44no—
211C4⋊C4×C31C2×D411yescharacteristic
212C4⋊C4×C31C2×D411yescharacteristic
213C4⋊C4×C31C2×D412yes—
214C22⋊C4×C31—22no—
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—21no—
220C22⋊C4×C31—22no—
221C22⋊C4×C31—22no—
222C22⋊C4×C31—22no—
223C22⋊C4×C31—21no—
224C22⋊C4×C31—21no—
225C22⋊C4×C31—21no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—21no—
229C22⋊C4×C31—44no—
230C22⋊C4×C31—44no—
231C22⋊C4×C31—41no—
232C22⋊C4×C31—41no—
233C42×C31—22no—
234C42×C31—22no—
235C42×C31—21no—
236C42×C31—81no—
237C42×C31C2×D411yescharacteristic
238C42×C31C2×D411yescharacteristic
239C42×C31C2×D411yescharacteristic
240C42×C31C2×D411yescharacteristic
241#18274C3111yesmaximal, characteristic, direct product factor, Sylow
242C23×C31—22no—
243C23×C31—22no—
244C23×C31—21no—
245C23×C31—22no—
246C23×C31—22no—
247C23×C31—41no—
248C23×C31—41no—
249C23×C31—41no—
250C23×C31—42no—
251C23×C31—42no—
252C23×C31—41no—
253C23×C31—41no—
254C23×C31—41no—
255C23×C31C22×D411yescharacteristic
256Q8×C31—41no—
257Q8×C31—42no—
258Q8×C31—42no—
259Q8×C31—42no—
260Q8×C31—81no—
261Q8×C31—82no—
262D4×C31—22no—
263D4×C31—22no—
264D4×C31—41no—
265D4×C31—41no—
266D4×C31—41no—
267D4×C31—41no—
268D4×C31—41no—
269D4×C31—42no—
270D4×C31—81no—
271D4×C31—82no—
272D4×C31—82no—
273D4×C31—88no—
274C2×C4×C31—21no—
275C2×C4×C31—21no—
276C2×C4×C31—22no—
277C2×C4×C31—24no—
278C2×C4×C31—21no—
279C2×C4×C31—22no—
280C2×C4×C31—21no—
281C2×C4×C31—22no—
282C2×C4×C31—22no—
283C2×C4×C31—21no—
284C2×C4×C31—41no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—42no—
289C2×C4×C31—41no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
292C2×C4×C31—82no—
293C2×C4×C31—82no—
294C2×C4×C31—82no—
295C2×C4×C31—82no—
296C2×C4×C31—82no—
297C2×C4×C31#12011yescharacteristic
298C2×C4×C31#12011yescharacteristic
299C2×C4×C31#12011yescharacteristic
300C2×C4×C31#12011yescharacteristic
301C2×C4×C31C22×D411yescharacteristic
302C2×C4×C31C22×D411yescharacteristic
303C8×C31—41no—
304C8×C31—41no—
305C8×C31—42no—
306#3561C2×C3111yescharacteristic, complemented
307#3110C2×C3111yescharacteristic, complemented
308#3105C2×C3111yescharacteristic, complemented
309#2540C2×C3111yescharacteristic, complemented
310#1618C2×C3112yescomplemented
311#1614C2×C3112yescomplemented
312#1600C2×C3112yescomplemented
313#1596C2×C3112yescomplemented
314#1509C2×C3111yescharacteristic, complemented
315#1503C2×C3111yescharacteristic, complemented
316#1469C2×C3111yescharacteristic, complemented
317C22×C31—21no—
318C22×C31—21no—
319C22×C31—42no—
320C22×C31—42no—
321C22×C31—41no—
322C22×C31—42no—
323C22×C31—41no—
324C22×C31—42no—
325C22×C31—42no—
326C22×C31—42no—
327C22×C31—41no—
328C22×C31—82no—
329C22×C31—82no—
330C22×C31—81no—
331C22×C31—81no—
332C22×C31—81no—
333C22×C31—81no—
334C22×C31C2×#12011yescharacteristic
335C22×C31#57711yescharacteristic
336C22×C31#57811yescharacteristic
337C4×C31—21no—
338C4×C31—21no—
339C4×C31—21no—
340C4×C31—21no—
341C4×C31—21no—
342C4×C31—44no—
343C4×C31—41no—
344C4×C31—41no—
345C4×C31—42no—
346C4×C31—42no—
347C4×C31—41no—
348C4×C31—42no—
349C4×C31—81no—
350C4×C31#45312yes—
351#563—21no—
352#562—21no—
353#556—21no—
354#551—22no—
355D4×Q8—21no—
356#548—21no—
357#546—21no—
358#543C22×C3112yes—
359#542—21no—
360#542—22no—
361#538C22×C3112yes—
362#536—21no—
363#533C22×C3111yescharacteristic
364#529C22×C3111yescharacteristic
365C2×#124C22×C3111yescharacteristic
366C2×C22⋊Q8—21no—
367C2×#121—21no—
368C2×C4×D4C22×C3111yescharacteristic
369#484C22×C3111yescharacteristic
370#484C22×C3112yes—
371#481C22×C3111yescharacteristic
372#478—21no—
373#474—21no—
374#463—21no—
375#461—21no—
376#450C22×C3111yescharacteristic
377#450C22×C3112yes—
378#447C22×C3111yescharacteristic
379#440—22no—
380C4×SD16—21no—
381C4×D8—21no—
382#432C22×C3111yescharacteristic
383#431C22×C3111yescharacteristic
384#399C22×C3112yes—
385#392C22×C3112yes—
386#390—22no—
387C4×C4⋊C4C22×C3111yescharacteristic
388#328C22×C3112yes—
389#328C22×C3112yes—
390#328C22×C3112yes—
391#327C22×C3112yes—
392#323C22×C3112yes—
393#323C22×C3112yes—
394C2×C31—21no—
395C2×C31—21no—
396C2×C31—81no—
397C2×C31—82no—
398C2×C31—82no—
399C2×C31#301311yescharacteristic
400C2×C31C2×#45311yescharacteristic
401C2×C31#302511yescharacteristic
402C2×#41—21no—
403C22×Q8—21no—
404C22×Q8D4×C3111yescharacteristic
405C22×D4—22no—
406C22×D4D4×C3111yescharacteristic
407C22×D4C23×C3111yescharacteristic
408C23×C4—21no—
409C2×SD16—21no—
410C2×SD16—22no—
411C2×D8—21no—
412C4⋊Q8—21no—
413C4⋊Q8—22no—
414C4⋊Q8D4×C3111yescharacteristic, complemented
415C4⋊Q8D4×C3111yescharacteristic, complemented
416#126—22no—
417#126—22no—
418#126—22no—
419#126—21no—
420#125—21no—
421#125D4×C3111yescharacteristic, complemented
422#124—21no—
423#124—22no—
424#124—22no—
425#124—21no—
426#124—21no—
427#124—21no—
428#124—21no—
429#124D4×C3111yescharacteristic, complemented
430#123—22no—
431#123—22no—
432#123—22no—
433#123—21no—
434#123—22no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—22no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—21no—
441C22⋊Q8—22no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—44no—
445C22⋊Q8C23×C3111yescharacteristic
446C22⋊Q8C23×C3112yes—
447#121—21no—
448#121—22no—
449#121—22no—
450#121—44no—
451#121C23×C3111yescharacteristic
452#120—22no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8D4×C3111yescharacteristic, complemented
456C4×Q8D4×C3112yescomplemented
457C4×D4—21no—
458C4×D4—22no—
459C4×D4—21no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4D4×C3111yescharacteristic, complemented
466#117—22no—
467#117—21no—
468#117—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—22no—
471C2×C4⋊C4C23×C3111yescharacteristic
472C2×C22⋊C4—22no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—22no—
476C2×C22⋊C4D4×C3112yes—
477C2×C22⋊C4C23×C3112yes—
478C2×C42—21no—
479C2×C42C23×C3111yescharacteristic
480#107—21no—
481#107—22no—
482#106—21no—
483C4⋊C8—21no—
484C4⋊C8—21no—
485#103—21no—
486#103—22no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—22no—
491C22⋊C8C23×C3112yes—
492C22⋊C8C23×C3111yescharacteristic
493C22⋊C8C23×C3111yescharacteristic
494#97—21no—
495C4×C8—21no—
496#95C23×C3112yes—
497C31#1827411yescharacteristic, direct product factor, Sylow
498C24—21no—
499C24C2×D4×C3112yes—
500#41—82no—
501C2×Q8—22no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—42no—
506C2×Q8—82no—
507C2×Q8C2×D4×C3111yescharacteristic
508C2×Q8C2×D4×C3112yes—
509C2×D4—21no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—42no—
517C2×D4—44no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—82no—
521C2×D4C2×D4×C3111yescharacteristic
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—41no—
531C22×C4—41no—
532C22×C4C2×D4×C3111yescharacteristic
533C22×C4C2×D4×C3111yescharacteristic
534C22×C4C2×D4×C3112yes—
535C22×C4C24×C3111yescharacteristic
536SD16—42no—
537SD16—44no—
538D8—42no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—22no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—44no—
559C4⋊C4C2×D4×C3111yescharacteristic
560C4⋊C4C2×D4×C3111yescharacteristic
561C4⋊C4C2×D4×C3112yes—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—21no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C42—22no—
582C42—22no—
583C42—21no—
584C42—81no—
585C42C2×D4×C3111yescharacteristic
586C42C2×D4×C3111yescharacteristic
587C42C2×D4×C3111yescharacteristic
588C42C2×D4×C3111yescharacteristic
589C23—22no—
590C23—22no—
591C23—21no—
592C23—22no—
593C23—22no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23C22×D4×C3111yescharacteristic
603Q8—41no—
604Q8—42no—
605Q8—42no—
606Q8—42no—
607Q8—81no—
608Q8—82no—
609D4—22no—
610D4—22no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—42no—
617D4—81no—
618D4—82no—
619D4—82no—
620D4—88no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—82no—
640C2×C4—82no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4—82no—
644C2×C4C31×#12011yescharacteristic
645C2×C4C31×#12011yescharacteristic
646C2×C4C31×#12011yescharacteristic
647C2×C4C31×#12011yescharacteristic
648C2×C4C22×D4×C3111yescharacteristic
649C2×C4C22×D4×C3111yescharacteristic
650C8—41no—
651C8—41no—
652C8—42no—
653C22—21no—
654C22—21no—
655C22—42no—
656C22—42no—
657C22—41no—
658C22—42no—
659C22—41no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—41no—
664C22—82no—
665C22—82no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22C2×C31×#12011yescharacteristic
671C22C31×#57711yescharacteristic
672C22C31×#57811yescharacteristic
673C4—21no—
674C4—21no—
675C4—21no—
676C4—21no—
677C4—21no—
678C4—44no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—42no—
683C4—41no—
684C4—42no—
685C4—81no—
686C4C31×#45312yes—
687C2—21no—
688C2—21no—
689C2—82no—
690C2—82no—
691C2—81no—
692C2C31×#301311yescharacteristic
693C2C2×C31×#45311yescharacteristic
694C2C31×#302511yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ 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×#3561C2semidirect
2. C31×#3110C2semidirect
3. C31×#3105C2semidirect
4. C31×#2540C2semidirect
5. C31×#1618C2semidirect
6. C31×#1614C2semidirect
7. C31×#1600C2semidirect
8. C31×#1596C2semidirect
9. C31×#1509C2semidirect
10. C31×#1503C2semidirect
11. C31×#1469C2semidirect
67. C31×C4⋊Q8D4semidirect
68. C31×C4⋊Q8D4semidirect
74. C31×#125D4semidirect
82. C31×#124D4semidirect
108. C4×Q8×C31D4semidirect
109. C4×Q8×C31D4semidirect
118. C4×D4×C31D4semidirect
241. #18274C31direct (N × H)
306. #3561C2×C31semidirect
307. #3110C2×C31semidirect
308. #3105C2×C31semidirect
309. #2540C2×C31semidirect
310. #1618C2×C31semidirect
311. #1614C2×C31semidirect
312. #1600C2×C31semidirect
313. #1596C2×C31semidirect
314. #1509C2×C31semidirect
315. #1503C2×C31semidirect
316. #1469C2×C31semidirect
414. C4⋊Q8D4×C31semidirect
415. C4⋊Q8D4×C31semidirect
421. #125D4×C31semidirect
429. #124D4×C31semidirect
455. C4×Q8D4×C31semidirect
456. C4×Q8D4×C31semidirect
465. C4×D4D4×C31semidirect
497. C31#18274direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35612
C31×#31102
C31×#31052
C31×#25402
C31×#16182
C31×#16142
C31×#16002
C31×#15962
C31×#15092
C31×#15032
C31×#14692
#1827431