Finite Group Databasebeta

← C31×#18273 #21475032

Subgroups — C31×#18273 #21475032

Order 7936.

1002 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×#3558C211yesmaximal, characteristic
2C31×#3112C211yesmaximal, characteristic, complemented
3C31×#3108C211yesmaximal, characteristic, complemented
4C31×#2592C211yesmaximal, characteristic, complemented
5C31×#1612C212yesmaximal, complemented
6C31×#1607C212yesmaximal, complemented
7C31×#1606C212yesmaximal, complemented
8C31×#1601C212yesmaximal, complemented
9C31×#1509C211yesmaximal, characteristic, complemented
10C31×#1502C211yesmaximal, characteristic, complemented
11C31×#1469C211yesmaximal, characteristic, complemented
12C31×#562—21no—
13C31×H(3,𝔽4)—21no—
14C31×#559—21no—
15C31×#548—21no—
16C31×#546—21no—
17C31×#546—22no—
18D42×C31—21no—
19C31×#542—21no—
20C31×#538—22no—
21C31×#538C2212yes—
22C31×#535—21no—
23C31×#534C2212yes—
24C31×#532C2211yescharacteristic
25C31×#529C2211yescharacteristic
26C2×C31×#124C2211yescharacteristic
27C2×C4×Q8×C31C2211yescharacteristic, complemented
28C31×#483C2211yescharacteristic, complemented
29C31×#480C2211yescharacteristic
30C31×#480C2212yescomplemented
31C31×#479—21no—
32C31×#477—21no—
33C31×#464—21no—
34C31×#460—21no—
35C31×#451C2211yescharacteristic, complemented
36C31×#448C2211yescharacteristic
37C31×#448C2212yescomplemented
38C31×#440—22no—
39C4×Q16×C31—21no—
40C4×SD16×C31—21no—
41C31×#432C2211yescharacteristic, complemented
42C31×#431C2211yescharacteristic, complemented
43C31×#397C2212yescomplemented
44C31×#393C2212yescomplemented
45C31×#391—21no—
46C31×#390—21no—
47C31×#388—22no—
48C4×C4⋊C4×C31C2211yescharacteristic, complemented
49C31×#328C2212yescomplemented
50C31×#327C2212yes—
51C31×#327C2212yescomplemented
52C31×#327C2212yescomplemented
53C31×#323C2212yescomplemented
54C31×#323C2212yescomplemented
55C2×#41×C31—21no—
56C2×#41×C31—21no—
57C22×Q8×C31D411yescharacteristic
58C22×Q8×C31C2311yescharacteristic
59C22×D4×C31—21no—
60C22×D4×C31—22no—
61C22×D4×C31D411yescharacteristic
62C2×Q16×C31—21no—
63C2×SD16×C31—21no—
64C2×SD16×C31—22no—
65C31×C4⋊Q8D411yescharacteristic
66C31×#127—21no—
67C31×#127D411yescharacteristic
68C31×#126—22no—
69C31×#126—21no—
70C31×#125D411yescharacteristic
71C31×#124—21no—
72C31×#124—22no—
73C31×#124—22no—
74C31×#124—22no—
75C31×#124—21no—
76C31×#124—21no—
77C31×#124—21no—
78C31×#124—21no—
79C31×#124—21no—
80C31×#124D411yescharacteristic
81C31×#123—22no—
82C31×#123—21no—
83C31×#123—22no—
84C31×#123—22no—
85C31×#123—22no—
86C31×C22⋊Q8—22no—
87C31×C22⋊Q8—21no—
88C31×C22⋊Q8—22no—
89C31×C22⋊Q8C2311yescharacteristic
90C31×#121—22no—
91C31×#121—22no—
92C31×#121—22no—
93C31×#121—21no—
94C31×#121—22no—
95C31×#121—21no—
96C31×#121—22no—
97C31×#121C2311yescharacteristic
98C31×#121C2312yes—
99C31×#120—22no—
100C31×#120—22no—
101C31×#120—22no—
102C31×#120—22no—
103C31×#120—22no—
104C4×Q8×C31—21no—
105C4×Q8×C31—21no—
106C4×Q8×C31—21no—
107C4×Q8×C31—21no—
108C4×Q8×C31—21no—
109C4×Q8×C31D411yescharacteristic
110C4×D4×C31—22no—
111C4×D4×C31—21no—
112C4×D4×C31—21no—
113C4×D4×C31—22no—
114C4×D4×C31—21no—
115C4×D4×C31D411yescharacteristic
116C4×D4×C31D412yes—
117C31×#117—21no—
118C2×C4⋊C4×C31—21no—
119C2×C4⋊C4×C31—21no—
120C2×C4⋊C4×C31C2311yescharacteristic
121C2×C22⋊C4×C31—22no—
122C2×C22⋊C4×C31—22no—
123C2×C22⋊C4×C31—22no—
124C2×C22⋊C4×C31D412yes—
125C2×C22⋊C4×C31C2312yes—
126C2×C42×C31—21no—
127C2×C42×C31—21no—
128C2×C42×C31C2311yescharacteristic
129C31×#107—21no—
130C31×#107—22no—
131C31×#106—21no—
132C31×C4⋊C8—21no—
133C31×C4⋊C8—21no—
134C31×#103—21no—
135C31×#103—21no—
136C31×#103—21no—
137C31×#103—22no—
138C31×#102—21no—
139C31×#102—22no—
140C31×C22⋊C8C2311yescharacteristic
141C31×C22⋊C8C2311yescharacteristic
142C31×C22⋊C8C2312yes—
143C31×#97—21no—
144C4×C8×C31—21no—
145C31×#95—22no—
146C31×#95—22no—
147C31×#95C2312yes—
148C24×C31—22no—
149C24×C31C2×D412yes—
150#41×C31—81no—
151#41×C31—81no—
152#41×C31—82no—
153C2×Q8×C31—21no—
154C2×Q8×C31—21no—
155C2×Q8×C31—21no—
156C2×Q8×C31—21no—
157C2×Q8×C31—21no—
158C2×Q8×C31—42no—
159C2×Q8×C31—42no—
160C2×Q8×C31C2×D411yescharacteristic
161C2×D4×C31—22no—
162C2×D4×C31—21no—
163C2×D4×C31—22no—
164C2×D4×C31—22no—
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31—22no—
168C2×D4×C31—21no—
169C2×D4×C31—21no—
170C2×D4×C31—21no—
171C2×D4×C31—21no—
172C2×D4×C31—42no—
173C2×D4×C31—82no—
174C2×D4×C31—82no—
175C2×D4×C31—82no—
176C2×D4×C31C2×D411yescharacteristic
177C2×D4×C31C2×D412yes—
178C22×C4×C31—21no—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—21no—
182C22×C4×C31—22no—
183C22×C4×C31—22no—
184C22×C4×C31—21no—
185C22×C4×C31C2×D411yescharacteristic
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D412yes—
188C22×C4×C31C2411yescharacteristic
189Q16×C31—42no—
190SD16×C31—44no—
191SD16×C31—42no—
192C2×C8×C31—21no—
193C2×C8×C31—21no—
194C2×C8×C31—22no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—22no—
197C4⋊C4×C31—21no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—21no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—21no—
202C4⋊C4×C31—21no—
203C4⋊C4×C31—21no—
204C4⋊C4×C31—42no—
205C4⋊C4×C31—41no—
206C4⋊C4×C31—41no—
207C4⋊C4×C31C2×D411yescharacteristic
208C4⋊C4×C31C2×D412yes—
209C4⋊C4×C31C2×D411yescharacteristic
210C22⋊C4×C31—22no—
211C22⋊C4×C31—22no—
212C22⋊C4×C31—22no—
213C22⋊C4×C31—22no—
214C22⋊C4×C31—22no—
215C22⋊C4×C31—21no—
216C22⋊C4×C31—21no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—21no—
220C22⋊C4×C31—21no—
221C22⋊C4×C31—22no—
222C22⋊C4×C31—22no—
223C22⋊C4×C31—22no—
224C22⋊C4×C31—21no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—44no—
227C22⋊C4×C31—82no—
228C42×C31—22no—
229C42×C31—21no—
230C42×C31—41no—
231C42×C31—41no—
232C42×C31—81no—
233C42×C31C2×D411yescharacteristic
234C42×C31C2×D411yescharacteristic
235C42×C31C2×D411yescharacteristic
236C42×C31C2×D411yescharacteristic
237#18273C3111yesmaximal, characteristic, direct product factor, Sylow
238C23×C31—22no—
239C23×C31—21no—
240C23×C31—22no—
241C23×C31—22no—
242C23×C31—22no—
243C23×C31—42no—
244C23×C31—42no—
245C23×C31—82no—
246C23×C31—82no—
247C23×C31—82no—
248C23×C31C22×D411yescharacteristic
249Q8×C31—22no—
250Q8×C31—22no—
251Q8×C31—41no—
252Q8×C31—41no—
253Q8×C31—41no—
254Q8×C31—42no—
255Q8×C31—81no—
256Q8×C31—81no—
257D4×C31—42no—
258D4×C31—41no—
259D4×C31—41no—
260D4×C31—42no—
261D4×C31—41no—
262D4×C31—42no—
263D4×C31—42no—
264D4×C31—42no—
265D4×C31—81no—
266D4×C31—81no—
267D4×C31—82no—
268D4×C31—82no—
269D4×C31—82no—
270D4×C31—82no—
271D4×C31—82no—
272C2×C4×C31—21no—
273C2×C4×C31—21no—
274C2×C4×C31—22no—
275C2×C4×C31—22no—
276C2×C4×C31—21no—
277C2×C4×C31—22no—
278C2×C4×C31—22no—
279C2×C4×C31—21no—
280C2×C4×C31—21no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—41no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—42no—
288C2×C4×C31—41no—
289C2×C4×C31—42no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
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×C31#12011yescharacteristic
299C2×C4×C31C22×D411yescharacteristic
300C2×C4×C31C22×D411yescharacteristic
301C8×C31—42no—
302C8×C31—41no—
303C8×C31—41no—
304#3558C2×C3111yescharacteristic
305#3112C2×C3111yescharacteristic, complemented
306#3108C2×C3111yescharacteristic, complemented
307#2592C2×C3111yescharacteristic, complemented
308#1612C2×C3112yescomplemented
309#1607C2×C3112yescomplemented
310#1606C2×C3112yescomplemented
311#1601C2×C3112yescomplemented
312#1509C2×C3111yescharacteristic, complemented
313#1502C2×C3111yescharacteristic, complemented
314#1469C2×C3111yescharacteristic, complemented
315C22×C31—21no—
316C22×C31—21no—
317C22×C31—42no—
318C22×C31—42no—
319C22×C31—41no—
320C22×C31—41no—
321C22×C31—42no—
322C22×C31—42no—
323C22×C31—42no—
324C22×C31—41no—
325C22×C31—42no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31—164no—
329C22×C31C2×#12011yescharacteristic
330C22×C31#57611yescharacteristic
331C22×C31#57711yescharacteristic
332C4×C31—21no—
333C4×C31—21no—
334C4×C31—21no—
335C4×C31—21no—
336C4×C31—21no—
337C4×C31—41no—
338C4×C31—42no—
339C4×C31—41no—
340C4×C31—42no—
341C4×C31—42no—
342C4×C31—41no—
343C4×C31—82no—
344C4×C31—81no—
345C4×C31#45512yes—
346#562—21no—
347H(3,𝔽4)—21no—
348#559—21no—
349#548—21no—
350#546—21no—
351#546—22no—
352D42—21no—
353#542—21no—
354#538—22no—
355#538C22×C3112yes—
356#535—21no—
357#534C22×C3112yes—
358#532C22×C3111yescharacteristic
359#529C22×C3111yescharacteristic
360C2×#124C22×C3111yescharacteristic
361C2×C4×Q8C22×C3111yescharacteristic, complemented
362#483C22×C3111yescharacteristic, complemented
363#480C22×C3111yescharacteristic
364#480C22×C3112yescomplemented
365#479—21no—
366#477—21no—
367#464—21no—
368#460—21no—
369#451C22×C3111yescharacteristic, complemented
370#448C22×C3111yescharacteristic
371#448C22×C3112yescomplemented
372#440—22no—
373C4×Q16—21no—
374C4×SD16—21no—
375#432C22×C3111yescharacteristic, complemented
376#431C22×C3111yescharacteristic, complemented
377#397C22×C3112yescomplemented
378#393C22×C3112yescomplemented
379#391—21no—
380#390—21no—
381#388—22no—
382C4×C4⋊C4C22×C3111yescharacteristic, complemented
383#328C22×C3112yescomplemented
384#327C22×C3112yes—
385#327C22×C3112yescomplemented
386#327C22×C3112yescomplemented
387#323C22×C3112yescomplemented
388#323C22×C3112yescomplemented
389C2×C31—21no—
390C2×C31—21no—
391C2×C31—82no—
392C2×C31—82no—
393C2×C31—81no—
394C2×C31#301211yescharacteristic
395C2×C31C2×#45511yescharacteristic
396C2×C31#302511yescharacteristic
397C2×#41—21no—
398C2×#41—21no—
399C22×Q8D4×C3111yescharacteristic
400C22×Q8C23×C3111yescharacteristic
401C22×D4—21no—
402C22×D4—22no—
403C22×D4D4×C3111yescharacteristic
404C2×Q16—21no—
405C2×SD16—21no—
406C2×SD16—22no—
407C4⋊Q8D4×C3111yescharacteristic
408#127—21no—
409#127D4×C3111yescharacteristic
410#126—22no—
411#126—21no—
412#125D4×C3111yescharacteristic
413#124—21no—
414#124—22no—
415#124—22no—
416#124—22no—
417#124—21no—
418#124—21no—
419#124—21no—
420#124—21no—
421#124—21no—
422#124D4×C3111yescharacteristic
423#123—22no—
424#123—21no—
425#123—22no—
426#123—22no—
427#123—22no—
428C22⋊Q8—22no—
429C22⋊Q8—21no—
430C22⋊Q8—22no—
431C22⋊Q8C23×C3111yescharacteristic
432#121—22no—
433#121—22no—
434#121—22no—
435#121—21no—
436#121—22no—
437#121—21no—
438#121—22no—
439#121C23×C3111yescharacteristic
440#121C23×C3112yes—
441#120—22no—
442#120—22no—
443#120—22no—
444#120—22no—
445#120—22no—
446C4×Q8—21no—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8D4×C3111yescharacteristic
452C4×D4—22no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—22no—
456C4×D4—21no—
457C4×D4D4×C3111yescharacteristic
458C4×D4D4×C3112yes—
459#117—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4C23×C3111yescharacteristic
463C2×C22⋊C4—22no—
464C2×C22⋊C4—22no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4D4×C3112yes—
467C2×C22⋊C4C23×C3112yes—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42C23×C3111yescharacteristic
471#107—21no—
472#107—22no—
473#106—21no—
474C4⋊C8—21no—
475C4⋊C8—21no—
476#103—21no—
477#103—21no—
478#103—21no—
479#103—22no—
480#102—21no—
481#102—22no—
482C22⋊C8C23×C3112yes—
483C22⋊C8C23×C3111yescharacteristic
484C22⋊C8C23×C3111yescharacteristic
485#97—21no—
486C4×C8—21no—
487#95—22no—
488#95—22no—
489#95C23×C3112yes—
490C31#1827311yescharacteristic, direct product factor, Sylow
491C24—22no—
492C24C2×D4×C3112yes—
493#41—81no—
494#41—81no—
495#41—82no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—42no—
502C2×Q8—42no—
503C2×Q8C2×D4×C3111yescharacteristic
504C2×D4—22no—
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—82no—
517C2×D4—82no—
518C2×D4—82no—
519C2×D4C2×D4×C3111yescharacteristic
520C2×D4C2×D4×C3112yes—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4C2×D4×C3111yescharacteristic
529C22×C4C2×D4×C3111yescharacteristic
530C22×C4C2×D4×C3112yes—
531C22×C4C24×C3111yescharacteristic
532Q16—42no—
533SD16—44no—
534SD16—42no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4C2×D4×C3111yescharacteristic
551C4⋊C4C2×D4×C3112yes—
552C4⋊C4C2×D4×C3111yescharacteristic
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—44no—
570C22⋊C4—82no—
571C42—22no—
572C42—21no—
573C42—41no—
574C42—41no—
575C42—81no—
576C42C2×D4×C3111yescharacteristic
577C42C2×D4×C3111yescharacteristic
578C42C2×D4×C3111yescharacteristic
579C42C2×D4×C3111yescharacteristic
580C23—22no—
581C23—21no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—82no—
588C23—82no—
589C23—82no—
590C23C22×D4×C3111yescharacteristic
591Q8—22no—
592Q8—22no—
593Q8—41no—
594Q8—41no—
595Q8—41no—
596Q8—42no—
597Q8—81no—
598Q8—81no—
599D4—42no—
600D4—41no—
601D4—41no—
602D4—42no—
603D4—41no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—81no—
608D4—81no—
609D4—82no—
610D4—82no—
611D4—82no—
612D4—82no—
613D4—82no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4C31×#12011yescharacteristic
638C2×C4C31×#12011yescharacteristic
639C2×C4C31×#12011yescharacteristic
640C2×C4C31×#12011yescharacteristic
641C2×C4C22×D4×C3111yescharacteristic
642C2×C4C22×D4×C3111yescharacteristic
643C8—42no—
644C8—41no—
645C8—41no—
646C22—21no—
647C22—21no—
648C22—42no—
649C22—42no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—41no—
656C22—42no—
657C22—82no—
658C22—82no—
659C22—164no—
660C22C2×C31×#12011yescharacteristic
661C22C31×#57611yescharacteristic
662C22C31×#57711yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—41no—
669C4—42no—
670C4—41no—
671C4—42no—
672C4—42no—
673C4—41no—
674C4—82no—
675C4—81no—
676C4C31×#45512yes—
677C2—21no—
678C2—21no—
679C2—82no—
680C2—81no—
681C2—82no—
682C2C31×#301211yescharacteristic
683C2C2×C31×#45511yescharacteristic
684C2C31×#302511yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#3558C2
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
2. C31×#3112C2semidirect
3. C31×#3108C2semidirect
4. C31×#2592C2semidirect
5. C31×#1612C2semidirect
6. C31×#1607C2semidirect
7. C31×#1606C2semidirect
8. C31×#1601C2semidirect
9. C31×#1509C2semidirect
10. C31×#1502C2semidirect
11. C31×#1469C2semidirect
27. C2×C4×Q8×C31C22semidirect
28. C31×#483C22semidirect
30. C31×#480C22semidirect
35. C31×#451C22semidirect
37. C31×#448C22semidirect
41. C31×#432C22semidirect
42. C31×#431C22semidirect
43. C31×#397C22semidirect
44. C31×#393C22semidirect
48. C4×C4⋊C4×C31C22semidirect
49. C31×#328C22semidirect
51. C31×#327C22semidirect
52. C31×#327C22semidirect
53. C31×#323C22semidirect
54. C31×#323C22semidirect
237. #18273C31direct (N × H)
305. #3112C2×C31semidirect
306. #3108C2×C31semidirect
307. #2592C2×C31semidirect
308. #1612C2×C31semidirect
309. #1607C2×C31semidirect
310. #1606C2×C31semidirect
311. #1601C2×C31semidirect
312. #1509C2×C31semidirect
313. #1502C2×C31semidirect
314. #1469C2×C31semidirect
361. C2×C4×Q8C22×C31semidirect
362. #483C22×C31semidirect
364. #480C22×C31semidirect
369. #451C22×C31semidirect
371. #448C22×C31semidirect
375. #432C22×C31semidirect
376. #431C22×C31semidirect
377. #397C22×C31semidirect
378. #393C22×C31semidirect
382. C4×C4⋊C4C22×C31semidirect
383. #328C22×C31semidirect
385. #327C22×C31semidirect
386. #327C22×C31semidirect
387. #323C22×C31semidirect
388. #323C22×C31semidirect
490. C31#18273direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35582
C31×#31122
C31×#31082
C31×#25922
C31×#16122
C31×#16072
C31×#16062
C31×#16012
C31×#15092
C31×#15022
C31×#14692
#1827331