Finite Group Databasebeta

← C31×#24962 #21481721

Subgroups — C31×#24962 #21481721

Order 7936.

770 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2486C211yesmaximal, characteristic
2C31×#2354C211yesmaximal, characteristic
3C31×#2099C211yesmaximal, characteristic, complemented
4C31×#2083C211yesmaximal, characteristic, complemented
5C31×#2077C211yesmaximal, characteristic, complemented
6C31×#2076C211yesmaximal, characteristic, complemented
7C31×#1919C211yesmaximal, characteristic, complemented
8C31×#1919C211yesmaximal, characteristic, complemented
9C31×#1870C211yesmaximal, characteristic
10C31×#1854C211yesmaximal, characteristic, complemented
11C31×#1854C211yesmaximal, characteristic, complemented
12C31×#1825C211yesmaximal, characteristic, complemented
13C31×#1824C211yesmaximal, characteristic, complemented
14C31×#1809C211yesmaximal, characteristic, complemented
15C31×#1736C211yesmaximal, characteristic, complemented
16C22×M16×C31C2211yescharacteristic
17C2×C31×#123—21no—
18C2×C4×D4×C31C2211yescharacteristic
19C2×C31×#117C2211yescharacteristic
20C2×C31×#117C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C2×C31×#107C2211yescharacteristic
23C2×C31×#107C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×#106C2211yescharacteristic
26C2×C31×C22⋊C8C2211yescharacteristic
27C2×C31×C22⋊C8C2211yescharacteristic
28C2×C31×C22⋊C8C2211yescharacteristic
29C31×#398—21no—
30C31×#397—21no—
31C31×#390—21no—
32C31×#389C2211yescharacteristic
33C31×#389C2211yescharacteristic
34C31×#388—21no—
35C31×#388—21no—
36C31×#384C2211yescharacteristic
37C31×#381—21no—
38C31×#380C2211yescharacteristic
39C31×#380C2211yescharacteristic
40C31×#380C2211yescharacteristic
41C31×#380C2211yescharacteristic
42C31×#380C2211yescharacteristic
43C4×C4⋊C4×C31—21no—
44C4×C4⋊C4×C31C2211yescharacteristic
45C31×#340C2211yescharacteristic
46C31×#340C2211yescharacteristic
47C31×#340C2211yescharacteristic
48C31×#340C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C22×D4×C31D411yescharacteristic
60C23×C4×C31—21no—
61C23×C4×C31C2311yescharacteristic
62C23×C4×C31C2311yescharacteristic
63C2×M16×C31—22no—
64C2×M16×C31—22no—
65C2×M16×C31—41no—
66C22×C8×C31C2311yescharacteristic
67C22×C8×C31C2311yescharacteristic
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C31×#123—44no—
71C4×D4×C31—22no—
72C4×D4×C31—22no—
73C31×#117—22no—
74C31×#117—22no—
75C31×#117—41no—
76C31×#117—41no—
77C2×C4⋊C4×C31—22no—
78C2×C4⋊C4×C31—22no—
79C2×C4⋊C4×C31—21no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—21no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31D411yescharacteristic
85C2×C4⋊C4×C31C2311yescharacteristic
86C2×C4⋊C4×C31C2311yescharacteristic
87C2×C4⋊C4×C31C2311yescharacteristic
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31D411yescharacteristic
101C2×C22⋊C4×C31D411yescharacteristic
102C2×C42×C31—21no—
103C2×C42×C31—21no—
104C2×C42×C31—21no—
105C2×C42×C31C2311yescharacteristic
106C31×#107—41no—
107C31×#107—41no—
108C31×#106—22no—
109C31×#106—22no—
110C31×C22⋊C8—22no—
111C31×C22⋊C8—22no—
112C31×C22⋊C8—41no—
113C31×#95—21no—
114C31×#95—21no—
115C31×#95—21no—
116C31×#95—21no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C24×C31C2×D411yescharacteristic
122C24×C31C2×D411yescharacteristic
123C2×D4×C31—22no—
124C2×D4×C31—22no—
125C2×D4×C31—41no—
126C22×C4×C31—21no—
127C22×C4×C31—21no—
128C22×C4×C31—21no—
129C22×C4×C31—21no—
130C22×C4×C31—21no—
131C22×C4×C31—21no—
132C22×C4×C31—21no—
133C22×C4×C31—21no—
134C22×C4×C31—21no—
135C22×C4×C31—21no—
136C22×C4×C31—21no—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—42no—
145C22×C4×C31—42no—
146C22×C4×C31—42no—
147C22×C4×C31C2×D411yescharacteristic
148C22×C4×C31C2×D411yescharacteristic
149C22×C4×C31C2×D411yescharacteristic
150C22×C4×C31C2×D411yescharacteristic
151C22×C4×C31#4112yes—
152C22×C4×C31#4112yes—
153C22×C4×C31C2411yescharacteristic
154M16×C31—44no—
155C2×C8×C31—21no—
156C2×C8×C31—21no—
157C2×C8×C31—21no—
158C2×C8×C31—21no—
159C2×C8×C31—21no—
160C2×C8×C31—21no—
161C2×C8×C31—21no—
162C2×C8×C31—21no—
163C2×C8×C31—21no—
164C2×C8×C31—21no—
165C2×C8×C31—21no—
166C2×C8×C31#4112yes—
167C4⋊C4×C31—22no—
168C4⋊C4×C31—21no—
169C4⋊C4×C31—21no—
170C4⋊C4×C31—21no—
171C4⋊C4×C31—21no—
172C4⋊C4×C31—21no—
173C4⋊C4×C31—21no—
174C4⋊C4×C31—21no—
175C4⋊C4×C31—21no—
176C4⋊C4×C31—21no—
177C4⋊C4×C31—21no—
178C4⋊C4×C31—21no—
179C4⋊C4×C31—21no—
180C4⋊C4×C31—21no—
181C4⋊C4×C31—21no—
182C4⋊C4×C31—21no—
183C4⋊C4×C31—42no—
184C4⋊C4×C31—42no—
185C4⋊C4×C31—42no—
186C4⋊C4×C31—42no—
187C4⋊C4×C31—81no—
188C4⋊C4×C31#4112yes—
189C22⋊C4×C31—22no—
190C22⋊C4×C31—22no—
191C22⋊C4×C31—42no—
192C22⋊C4×C31—42no—
193C22⋊C4×C31—42no—
194C22⋊C4×C31—42no—
195C22⋊C4×C31—42no—
196C22⋊C4×C31—81no—
197C22⋊C4×C31—81no—
198C42×C31—21no—
199C42×C31—21no—
200C42×C31—42no—
201C42×C31—42no—
202C42×C31—42no—
203#24962C3111yesmaximal, characteristic, direct product factor, Sylow
204C23×C31—21no—
205C23×C31—21no—
206C23×C31—21no—
207C23×C31—21no—
208C23×C31—21no—
209C23×C31—21no—
210C23×C31—21no—
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31#12312yes—
218C23×C31C22×D411yescharacteristic
219D4×C31—44no—
220C2×C4×C31—21no—
221C2×C4×C31—21no—
222C2×C4×C31—21no—
223C2×C4×C31—21no—
224C2×C4×C31—22no—
225C2×C4×C31—22no—
226C2×C4×C31—22no—
227C2×C4×C31—22no—
228C2×C4×C31—21no—
229C2×C4×C31—21no—
230C2×C4×C31—22no—
231C2×C4×C31—21no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—41no—
236C2×C4×C31—41no—
237C2×C4×C31—41no—
238C2×C4×C31—41no—
239C2×C4×C31—41no—
240C2×C4×C31—41no—
241C2×C4×C31—41no—
242C2×C4×C31—41no—
243C2×C4×C31—41no—
244C2×C4×C31—41no—
245C2×C4×C31—41no—
246C2×C4×C31—41no—
247C2×C4×C31—41no—
248C2×C4×C31—41no—
249C2×C4×C31—41no—
250C2×C4×C31—41no—
251C2×C4×C31—41no—
252C2×C4×C31—41no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
255C2×C4×C31—41no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
261C2×C4×C31—41no—
262C2×C4×C31—84no—
263C2×C4×C31#12312yes—
264C2×C4×C31AGL(1,ℤ/8)12yes—
265C2×C4×C31C2×#4111yescharacteristic
266C2×C4×C31C2×#4111yescharacteristic
267C2×C4×C31C2×#4111yescharacteristic
268C2×C4×C31C2×#4111yescharacteristic
269C2×C4×C31H(5,𝔽2)11yescharacteristic
270C2×C4×C312−1+411yescharacteristic
271C8×C31—22no—
272C8×C31—41no—
273C8×C31—41no—
274C8×C31—41no—
275#2486C2×C3111yescharacteristic
276#2354C2×C3111yescharacteristic
277#2099C2×C3111yescharacteristic, complemented
278#2083C2×C3111yescharacteristic, complemented
279#2077C2×C3111yescharacteristic, complemented
280#2076C2×C3111yescharacteristic, complemented
281#1919C2×C3111yescharacteristic, complemented
282#1919C2×C3111yescharacteristic, complemented
283#1870C2×C3111yescharacteristic
284#1854C2×C3111yescharacteristic, complemented
285#1854C2×C3111yescharacteristic, complemented
286#1825C2×C3111yescharacteristic, complemented
287#1824C2×C3111yescharacteristic, complemented
288#1809C2×C3111yescharacteristic, complemented
289#1736C2×C3111yescharacteristic, complemented
290C22×C31—22no—
291C22×C31—22no—
292C22×C31—22no—
293C22×C31—41no—
294C22×C31—41no—
295C22×C31—41no—
296C22×C31—41no—
297C22×C31—41no—
298C22×C31—41no—
299C22×C31—41no—
300C22×C31—41no—
301C22×C31—41no—
302C22×C31—41no—
303C22×C31—41no—
304C22×C31C2×#12311yescharacteristic
305C22×C31#54611yescharacteristic
306C22×C31#54711yescharacteristic
307C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C31#57511yescharacteristic
309C22×C31#57711yescharacteristic
310C22×C31#57811yescharacteristic
311C4×C31—22no—
312C4×C31—22no—
313C4×C31—41no—
314C4×C31—41no—
315C4×C31—42no—
316C4×C31—81no—
317C4×C31—81no—
318C4×C31—81no—
319C4×C31—81no—
320C4×C31—81no—
321C4×C31—81no—
322C4×C31—81no—
323C4×C31#52911yescharacteristic
324C4×C31#53911yescharacteristic
325C4×C31#55111yescharacteristic
326C4×C31#55211yescharacteristic
327C22×M16C22×C3111yescharacteristic
328C2×#123—21no—
329C2×C4×D4C22×C3111yescharacteristic
330C2×#117C22×C3111yescharacteristic
331C2×#117C22×C3111yescharacteristic
332C22×C4⋊C4C22×C3111yescharacteristic
333C2×#107C22×C3111yescharacteristic
334C2×#107C22×C3111yescharacteristic
335C2×#106C22×C3111yescharacteristic
336C2×#106C22×C3111yescharacteristic
337C2×C22⋊C8C22×C3111yescharacteristic
338C2×C22⋊C8C22×C3111yescharacteristic
339C2×C22⋊C8C22×C3111yescharacteristic
340#398—21no—
341#397—21no—
342#390—21no—
343#389C22×C3111yescharacteristic
344#389C22×C3111yescharacteristic
345#388—21no—
346#388—21no—
347#384C22×C3111yescharacteristic
348#381—21no—
349#380C22×C3111yescharacteristic
350#380C22×C3111yescharacteristic
351#380C22×C3111yescharacteristic
352#380C22×C3111yescharacteristic
353#380C22×C3111yescharacteristic
354C4×C4⋊C4—21no—
355C4×C4⋊C4C22×C3111yescharacteristic
356#340C22×C3111yescharacteristic
357#340C22×C3111yescharacteristic
358#340C22×C3111yescharacteristic
359#340C22×C3111yescharacteristic
360#340C22×C3111yescharacteristic
361#340C22×C3111yescharacteristic
362#340C22×C3111yescharacteristic
363#340C22×C3111yescharacteristic
364#340C22×C3111yescharacteristic
365#340C22×C3111yescharacteristic
366#340C22×C3111yescharacteristic
367#340C22×C3111yescharacteristic
368#336C22×C3111yescharacteristic
369#336C22×C3111yescharacteristic
370C2×C31—42no—
371C2×C31—81no—
372C2×C31#241911yescharacteristic
373C2×C31#309411yescharacteristic
374C2×C31#309711yescharacteristic
375C2×C31#331511yescharacteristic
376C2×C31#333211yescharacteristic
377C2×C31#334811yescharacteristic
378C2×C31#335311yescharacteristic
379C22×D4D4×C3111yescharacteristic
380C23×C4—21no—
381C23×C4C23×C3111yescharacteristic
382C23×C4C23×C3111yescharacteristic
383C2×M16—22no—
384C2×M16—22no—
385C2×M16—41no—
386C22×C8C23×C3111yescharacteristic
387C22×C8C23×C3111yescharacteristic
388C22×C8C23×C3111yescharacteristic
389C22×C8C23×C3111yescharacteristic
390#123—44no—
391C4×D4—22no—
392C4×D4—22no—
393#117—22no—
394#117—22no—
395#117—41no—
396#117—41no—
397C2×C4⋊C4—22no—
398C2×C4⋊C4—22no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4D4×C3111yescharacteristic
405C2×C4⋊C4C23×C3111yescharacteristic
406C2×C4⋊C4C23×C3111yescharacteristic
407C2×C4⋊C4C23×C3111yescharacteristic
408C2×C4⋊C4C23×C3111yescharacteristic
409C2×C4⋊C4C23×C3111yescharacteristic
410C2×C4⋊C4C23×C3111yescharacteristic
411C2×C4⋊C4C23×C3111yescharacteristic
412C2×C4⋊C4C23×C3111yescharacteristic
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4D4×C3111yescharacteristic
421C2×C22⋊C4D4×C3111yescharacteristic
422C2×C42—21no—
423C2×C42—21no—
424C2×C42—21no—
425C2×C42C23×C3111yescharacteristic
426#107—41no—
427#107—41no—
428#106—22no—
429#106—22no—
430C22⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—41no—
433#95—21no—
434#95—21no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441C31#2496211yescharacteristic, direct product factor, Sylow
442C24C2×D4×C3111yescharacteristic
443C24C2×D4×C3111yescharacteristic
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—41no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—42no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4C2×D4×C3111yescharacteristic
469C22×C4C2×D4×C3111yescharacteristic
470C22×C4C2×D4×C3111yescharacteristic
471C22×C4C2×D4×C3111yescharacteristic
472C22×C4#41×C3112yes—
473C22×C4#41×C3112yes—
474C22×C4C24×C3111yescharacteristic
475M16—44no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8#41×C3112yes—
488C4⋊C4—22no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—81no—
509C4⋊C4#41×C3112yes—
510C22⋊C4—22no—
511C22⋊C4—22no—
512C22⋊C4—42no—
513C22⋊C4—42no—
514C22⋊C4—42no—
515C22⋊C4—42no—
516C22⋊C4—42no—
517C22⋊C4—81no—
518C22⋊C4—81no—
519C42—21no—
520C42—21no—
521C42—42no—
522C42—42no—
523C42—42no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23C31×#12312yes—
538C23C22×D4×C3111yescharacteristic
539D4—44no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—22no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—84no—
583C2×C4C31×#12312yes—
584C2×C4C31×AGL(1,ℤ/8)12yes—
585C2×C4C2×#41×C3111yescharacteristic
586C2×C4C2×#41×C3111yescharacteristic
587C2×C4C2×#41×C3111yescharacteristic
588C2×C4C2×#41×C3111yescharacteristic
589C2×C4C31×H(5,𝔽2)11yescharacteristic
590C2×C4C31×2−1+411yescharacteristic
591C8—22no—
592C8—41no—
593C8—41no—
594C8—41no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22C2×C31×#12311yescharacteristic
610C22C31×#54611yescharacteristic
611C22C31×#54711yescharacteristic
612C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
613C22C31×#57511yescharacteristic
614C22C31×#57711yescharacteristic
615C22C31×#57811yescharacteristic
616C4—22no—
617C4—22no—
618C4—41no—
619C4—41no—
620C4—42no—
621C4—81no—
622C4—81no—
623C4—81no—
624C4—81no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4C31×#52911yescharacteristic
629C4C31×#53911yescharacteristic
630C4C31×#55111yescharacteristic
631C4C31×#55211yescharacteristic
632C2—42no—
633C2—81no—
634C2C31×#241911yescharacteristic
635C2C31×#309411yescharacteristic
636C2C31×#309711yescharacteristic
637C2C31×#331511yescharacteristic
638C2C31×#333211yescharacteristic
639C2C31×#334811yescharacteristic
640C2C31×#335311yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C4×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
3. C31×#2099C2semidirect
4. C31×#2083C2semidirect
5. C31×#2077C2semidirect
6. C31×#2076C2semidirect
7. C31×#1919C2semidirect
8. C31×#1919C2semidirect
10. C31×#1854C2semidirect
11. C31×#1854C2semidirect
12. C31×#1825C2semidirect
13. C31×#1824C2semidirect
14. C31×#1809C2semidirect
15. C31×#1736C2semidirect
203. #24962C31direct (N × H)
277. #2099C2×C31semidirect
278. #2083C2×C31semidirect
279. #2077C2×C31semidirect
280. #2076C2×C31semidirect
281. #1919C2×C31semidirect
282. #1919C2×C31semidirect
284. #1854C2×C31semidirect
285. #1854C2×C31semidirect
286. #1825C2×C31semidirect
287. #1824C2×C31semidirect
288. #1809C2×C31semidirect
289. #1736C2×C31semidirect
441. C31#24962direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24862
C31×#23542
C31×#20992
C31×#20832
C31×#20772
C31×#20762
C31×#19192
C31×#18702
C31×#18542
C31×#18252
C31×#18242
C31×#18092
C31×#17362
#2496231