Finite Group Databasebeta

← C31×#24975 #21481734

Subgroups — C31×#24975 #21481734

Order 7936.

776 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2536C211yesmaximal, characteristic
2C31×#2352C211yesmaximal, characteristic
3C31×#2077C211yesmaximal, characteristic, complemented
4C31×#2075C211yesmaximal, characteristic, complemented
5C31×#2036C211yesmaximal, characteristic, complemented
6C31×#2035C211yesmaximal, characteristic, complemented
7C31×#1954C211yesmaximal, characteristic
8C31×#1949C211yesmaximal, characteristic, complemented
9C31×#1873C211yesmaximal, characteristic, complemented
10C31×#1872C211yesmaximal, characteristic, complemented
11C31×#1835C211yesmaximal, characteristic, complemented
12C31×#1825C211yesmaximal, characteristic, complemented
13C31×#1824C211yesmaximal, characteristic, complemented
14C31×#1805C211yesmaximal, characteristic, complemented
15C4×C31×#103C211yesmaximal, characteristic, complemented
16C2×C31×C22⋊Q8C2211yescharacteristic
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C31C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C31×#117C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C2×C31×#107C2211yescharacteristic
23C2×C31×#106C2211yescharacteristic
24C2×C31×C4⋊C8C2211yescharacteristic
25C2×C31×#103C2211yescharacteristic
26C2×C31×#103C2211yescharacteristic
27C2×C31×#103C2211yescharacteristic
28C2×C31×#103C2211yescharacteristic
29C2×C31×C22⋊C8C2211yescharacteristic
30C2×C31×C22⋊C8C2211yescharacteristic
31C2×C31×C22⋊C8C2211yescharacteristic
32C2×C31×C22⋊C8C2211yescharacteristic
33C2×C4×C8×C31C2211yescharacteristic
34C31×#398—21no—
35C31×#394—21no—
36C31×#388—21no—
37C31×#388—21no—
38C31×#388—21no—
39C31×#387—21no—
40C31×#386—21no—
41C31×#382C2211yescharacteristic
42C31×#382C2211yescharacteristic
43C31×#380C2211yescharacteristic
44C31×#380C2211yescharacteristic
45C31×#380C2211yescharacteristic
46C31×#380C2211yescharacteristic
47C4×C4⋊C4×C31C2211yescharacteristic
48C4×C22⋊C4×C31—21no—
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C22×Q8×C31C2311yescharacteristic
60C22×D4×C31D411yescharacteristic
61C23×C4×C31—21no—
62C23×C4×C31C2311yescharacteristic
63C23×C4×C31C2311yescharacteristic
64C22×C8×C31C2311yescharacteristic
65C22×C8×C31C2311yescharacteristic
66C22×C8×C31C2311yescharacteristic
67C22×C8×C31C2311yescharacteristic
68C31×C22⋊Q8—22no—
69C31×C22⋊Q8—22no—
70C31×C22⋊Q8—41no—
71C31×C22⋊Q8—41no—
72C4×Q8×C31—22no—
73C4×Q8×C31—22no—
74C4×D4×C31—22no—
75C4×D4×C31—22no—
76C31×#117—22no—
77C31×#117—41no—
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—41no—
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×C22⋊C4×C31—21no—
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×C31D411yescharacteristic
100C2×C22⋊C4×C31D411yescharacteristic
101C2×C42×C31—21no—
102C2×C42×C31—21no—
103C2×C42×C31—21no—
104C2×C42×C31C2311yescharacteristic
105C31×#107—41no—
106C31×#106—41no—
107C31×C4⋊C8—22no—
108C31×#103—22no—
109C31×#103—22no—
110C31×#103—41no—
111C31×#103—41no—
112C31×C22⋊C8—41no—
113C31×C22⋊C8—41no—
114C31×C22⋊C8—41no—
115C31×C22⋊C8—41no—
116C4×C8×C31—22no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C24×C31C2×D411yescharacteristic
127C24×C31C2×D411yescharacteristic
128C2×Q8×C31—21no—
129C2×Q8×C31—21no—
130C2×Q8×C31—21no—
131C2×Q8×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31#4112yes—
134C2×D4×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—41no—
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—21no—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—42no—
158C22×C4×C31—42no—
159C22×C4×C31—81no—
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2411yescharacteristic
165C2×C8×C31—21no—
166C2×C8×C31—21no—
167C2×C8×C31—21no—
168C2×C8×C31—21no—
169C2×C8×C31—21no—
170C2×C8×C31—21no—
171C2×C8×C31—21no—
172C2×C8×C31—21no—
173C2×C8×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C4⋊C4×C31—22no—
178C4⋊C4×C31—21no—
179C4⋊C4×C31—21no—
180C4⋊C4×C31—21no—
181C4⋊C4×C31—21no—
182C4⋊C4×C31—21no—
183C4⋊C4×C31—21no—
184C4⋊C4×C31—21no—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31#4112yes—
196C22⋊C4×C31—22no—
197C22⋊C4×C31—22no—
198C22⋊C4×C31—42no—
199C22⋊C4×C31—42no—
200C22⋊C4×C31—42no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—81no—
205C42×C31—42no—
206C42×C31—42no—
207C42×C31—81no—
208C42×C31#4112yes—
209C42×C31#4112yes—
210#24975C3111yesmaximal, characteristic, direct product factor, Sylow
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31#13512yes—
225C23×C31C22×D411yescharacteristic
226Q8×C31—22no—
227Q8×C31—22no—
228Q8×C31—41no—
229Q8×C31—41no—
230D4×C31—44no—
231C2×C4×C31—21no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
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—41no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—41no—
269C2×C4×C31—41no—
270C2×C4×C31—41no—
271C2×C4×C31—41no—
272C2×C4×C31—41no—
273C2×C4×C31—84no—
274C2×C4×C31#12312yes—
275C2×C4×C31#12312yes—
276C2×C4×C31C2×#4111yescharacteristic
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31C2×#4111yescharacteristic
280C2×C4×C31H(5,𝔽2)11yescharacteristic
281C2×C4×C31H(5,𝔽2)11yescharacteristic
282C8×C31—41no—
283C8×C31—41no—
284C8×C31—41no—
285C8×C31—41no—
286#2536C2×C3111yescharacteristic
287#2352C2×C3111yescharacteristic
288#2077C2×C3111yescharacteristic, complemented
289#2075C2×C3111yescharacteristic, complemented
290#2036C2×C3111yescharacteristic, complemented
291#2035C2×C3111yescharacteristic, complemented
292#1954C2×C3111yescharacteristic
293#1949C2×C3111yescharacteristic, complemented
294#1873C2×C3111yescharacteristic, complemented
295#1872C2×C3111yescharacteristic, complemented
296#1835C2×C3111yescharacteristic, complemented
297#1825C2×C3111yescharacteristic, complemented
298#1824C2×C3111yescharacteristic, complemented
299#1805C2×C3111yescharacteristic, complemented
300C4×#103C2×C3111yescharacteristic, complemented
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—41no—
305C22×C31—41no—
306C22×C31—41no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31—41no—
310C22×C31—41no—
311C22×C31—41no—
312C22×C31—41no—
313C22×C31—41no—
314C22×C31—41no—
315C22×C31C2×#12311yescharacteristic
316C22×C31#54611yescharacteristic
317C22×C31#54611yescharacteristic
318C22×C31C2×#13511yescharacteristic
319C22×C31#57511yescharacteristic
320C22×C31#57711yescharacteristic
321C22×C31#57811yescharacteristic
322C4×C31—22no—
323C4×C31—22no—
324C4×C31—41no—
325C4×C31—41no—
326C4×C31—42no—
327C4×C31—42no—
328C4×C31—81no—
329C4×C31—81no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31#52911yescharacteristic
335C4×C31#54011yescharacteristic
336C4×C31#55311yescharacteristic
337C4×C31#55511yescharacteristic
338C2×C22⋊Q8C22×C3111yescharacteristic
339C2×C22⋊Q8C22×C3111yescharacteristic
340C2×C4×Q8C22×C3111yescharacteristic
341C2×C4×D4C22×C3111yescharacteristic
342C2×#117C22×C3111yescharacteristic
343C22×C4⋊C4C22×C3111yescharacteristic
344C2×#107C22×C3111yescharacteristic
345C2×#106C22×C3111yescharacteristic
346C2×C4⋊C8C22×C3111yescharacteristic
347C2×#103C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#103C22×C3111yescharacteristic
350C2×#103C22×C3111yescharacteristic
351C2×C22⋊C8C22×C3111yescharacteristic
352C2×C22⋊C8C22×C3111yescharacteristic
353C2×C22⋊C8C22×C3111yescharacteristic
354C2×C22⋊C8C22×C3111yescharacteristic
355C2×C4×C8C22×C3111yescharacteristic
356#398—21no—
357#394—21no—
358#388—21no—
359#388—21no—
360#388—21no—
361#387—21no—
362#386—21no—
363#382C22×C3111yescharacteristic
364#382C22×C3111yescharacteristic
365#380C22×C3111yescharacteristic
366#380C22×C3111yescharacteristic
367#380C22×C3111yescharacteristic
368#380C22×C3111yescharacteristic
369C4×C4⋊C4C22×C3111yescharacteristic
370C4×C22⋊C4—21no—
371#340C22×C3111yescharacteristic
372#340C22×C3111yescharacteristic
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381C2×C31—42no—
382C2×C31—81no—
383C2×C31#242011yescharacteristic
384C2×C31#309111yescharacteristic
385C2×C31#309711yescharacteristic
386C2×C31#330011yescharacteristic
387C2×C31#330111yescharacteristic
388C2×C31#332311yescharacteristic
389C2×C31#332711yescharacteristic
390C22×Q8C23×C3111yescharacteristic
391C22×D4D4×C3111yescharacteristic
392C23×C4—21no—
393C23×C4C23×C3111yescharacteristic
394C23×C4C23×C3111yescharacteristic
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397C22×C8C23×C3111yescharacteristic
398C22×C8C23×C3111yescharacteristic
399C22⋊Q8—22no—
400C22⋊Q8—22no—
401C22⋊Q8—41no—
402C22⋊Q8—41no—
403C4×Q8—22no—
404C4×Q8—22no—
405C4×D4—22no—
406C4×D4—22no—
407#117—22no—
408#117—41no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—41no—
415C2×C4⋊C4D4×C3111yescharacteristic
416C2×C4⋊C4C23×C3111yescharacteristic
417C2×C4⋊C4C23×C3111yescharacteristic
418C2×C4⋊C4C23×C3111yescharacteristic
419C2×C4⋊C4C23×C3111yescharacteristic
420C2×C4⋊C4C23×C3111yescharacteristic
421C2×C4⋊C4C23×C3111yescharacteristic
422C2×C4⋊C4C23×C3111yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4D4×C3111yescharacteristic
431C2×C22⋊C4D4×C3111yescharacteristic
432C2×C42—21no—
433C2×C42—21no—
434C2×C42—21no—
435C2×C42C23×C3111yescharacteristic
436#107—41no—
437#106—41no—
438C4⋊C8—22no—
439#103—22no—
440#103—22no—
441#103—41no—
442#103—41no—
443C22⋊C8—41no—
444C22⋊C8—41no—
445C22⋊C8—41no—
446C22⋊C8—41no—
447C4×C8—22no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457C31#2497511yescharacteristic, direct product factor, Sylow
458C24C2×D4×C3111yescharacteristic
459C24C2×D4×C3111yescharacteristic
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8#41×C3112yes—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—41no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4C2×D4×C3111yescharacteristic
493C22×C4C2×D4×C3111yescharacteristic
494C22×C4C2×D4×C3111yescharacteristic
495C22×C4C2×D4×C3111yescharacteristic
496C22×C4C24×C3111yescharacteristic
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C4⋊C4—22no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4#41×C3112yes—
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C42—42no—
538C42—42no—
539C42—81no—
540C42#41×C3112yes—
541C42#41×C3112yes—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23C31×#13512yes—
556C23C22×D4×C3111yescharacteristic
557Q8—22no—
558Q8—22no—
559Q8—41no—
560Q8—41no—
561D4—44no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
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—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—84no—
605C2×C4C31×#12312yes—
606C2×C4C31×#12312yes—
607C2×C4C2×#41×C3111yescharacteristic
608C2×C4C2×#41×C3111yescharacteristic
609C2×C4C2×#41×C3111yescharacteristic
610C2×C4C2×#41×C3111yescharacteristic
611C2×C4C31×H(5,𝔽2)11yescharacteristic
612C2×C4C31×H(5,𝔽2)11yescharacteristic
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22C2×C31×#12311yescharacteristic
632C22C31×#54611yescharacteristic
633C22C31×#54611yescharacteristic
634C22C2×C31×#13511yescharacteristic
635C22C31×#57511yescharacteristic
636C22C31×#57711yescharacteristic
637C22C31×#57811yescharacteristic
638C4—22no—
639C4—22no—
640C4—41no—
641C4—41no—
642C4—42no—
643C4—42no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C31×#52911yescharacteristic
651C4C31×#54011yescharacteristic
652C4C31×#55311yescharacteristic
653C4C31×#55511yescharacteristic
654C2—42no—
655C2—81no—
656C2C31×#242011yescharacteristic
657C2C31×#309111yescharacteristic
658C2C31×#309711yescharacteristic
659C2C31×#330011yescharacteristic
660C2C31×#330111yescharacteristic
661C2C31×#332311yescharacteristic
662C2C31×#332711yescharacteristic
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×#2077C2semidirect
4. C31×#2075C2semidirect
5. C31×#2036C2semidirect
6. C31×#2035C2semidirect
8. C31×#1949C2semidirect
9. C31×#1873C2semidirect
10. C31×#1872C2semidirect
11. C31×#1835C2semidirect
12. C31×#1825C2semidirect
13. C31×#1824C2semidirect
14. C31×#1805C2semidirect
15. C4×C31×#103C2semidirect
210. #24975C31direct (N × H)
288. #2077C2×C31semidirect
289. #2075C2×C31semidirect
290. #2036C2×C31semidirect
291. #2035C2×C31semidirect
293. #1949C2×C31semidirect
294. #1873C2×C31semidirect
295. #1872C2×C31semidirect
296. #1835C2×C31semidirect
297. #1825C2×C31semidirect
298. #1824C2×C31semidirect
299. #1805C2×C31semidirect
300. C4×#103C2×C31semidirect
457. C31#24975direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#25362
C31×#23522
C31×#20772
C31×#20752
C31×#20362
C31×#20352
C31×#19542
C31×#19492
C31×#18732
C31×#18722
C31×#18352
C31×#18252
C31×#18242
C31×#18052
C4×C31×#1032
#2497531