Finite Group Databasebeta

← C31×#15187 #21471946

Subgroups — C31×#15187 #21471946

Order 7936.

1210 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#389C211yesmaximal, characteristic
2C2×C31×#389C211yesmaximal, characteristic
3C31×#1445C212yesmaximal
4C31×#1443C212yesmaximal
5C31×#1442C212yesmaximal
6C31×#1441C212yesmaximal
7C31×C4⋊#95C211yesmaximal, characteristic
8C31×C4⋊#95C211yesmaximal, characteristic
9C31×C4⋊#95C211yesmaximal, characteristic
10C31×C4⋊#95C211yesmaximal, characteristic
11C4×C31×#95C211yesmaximal, characteristic
12C22×C4⋊C4×C31C2211yescharacteristic
13C22×C4⋊C4×C31C2211yescharacteristic
14C22×C4⋊C4×C31C2212yes—
15C22×C4⋊C4×C31C2212yes—
16C22×C4⋊C4×C31C2211yescharacteristic
17C22×C4⋊C4×C31C2211yescharacteristic
18C22×C42×C31C2211yescharacteristic
19C22×C42×C31C2211yescharacteristic
20C22×C42×C31C2211yescharacteristic
21C31×#389—24no—
22C31×#389—24no—
23C2×C31×#95C2211yescharacteristic
24C2×C31×#95C2211yescharacteristic
25C2×C31×#95C2211yescharacteristic
26C2×C31×#95C2212yes—
27C2×C31×#95C2212yes—
28C2×C31×#95C2212yes—
29C2×C31×#95C2212yes—
30C2×C31×#95C2212yes—
31C2×C31×#95C2212yes—
32C2×C31×#95C2212yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2212yes—
35C2×C31×#95C2212yes—
36C2×C31×#95C2211yescharacteristic
37C23×C4×C31C2312yes—
38C23×C4×C31C2312yes—
39C23×C4×C31C2312yes—
40C23×C4×C31C2311yescharacteristic
41C23×C4×C31C2311yescharacteristic
42C23×C4×C31C2311yescharacteristic
43C23×C4×C31C2312yes—
44C23×C4×C31C2311yescharacteristic
45C23×C4×C31C2311yescharacteristic
46C23×C4×C31C2311yescharacteristic
47C23×C4×C31C2311yescharacteristic
48C2×C4⋊C4×C31—22no—
49C2×C4⋊C4×C31—22no—
50C2×C4⋊C4×C31—22no—
51C2×C4⋊C4×C31—22no—
52C2×C4⋊C4×C31—24no—
53C2×C4⋊C4×C31—24no—
54C2×C4⋊C4×C31—22no—
55C2×C4⋊C4×C31—24no—
56C2×C4⋊C4×C31—24no—
57C2×C4⋊C4×C31—22no—
58C2×C4⋊C4×C31—22no—
59C2×C4⋊C4×C31—22no—
60C2×C4⋊C4×C31—22no—
61C2×C4⋊C4×C31—22no—
62C2×C4⋊C4×C31—42no—
63C2×C4⋊C4×C31—42no—
64C2×C4⋊C4×C31D414yes—
65C2×C4⋊C4×C31Q814yes—
66C2×C42×C31—22no—
67C2×C42×C31—22no—
68C2×C42×C31—22no—
69C2×C42×C31—22no—
70C2×C42×C31—22no—
71C2×C42×C31—22no—
72C2×C42×C31—22no—
73C2×C42×C31—22no—
74C2×C42×C31—22no—
75C31×#95—24no—
76C31×#95—24no—
77C31×#95—22no—
78C31×#95—22no—
79C31×#95—22no—
80C31×#95—24no—
81C31×#95—42no—
82C31×#95—42no—
83C31×#95—42no—
84C31×#95—42no—
85C31×#95—42no—
86C31×#95—42no—
87C31×#95—42no—
88C31×#95Q814yes—
89C24×C31C2411yescharacteristic
90C22×C4×C31—21no—
91C22×C4×C31—21no—
92C22×C4×C31—22no—
93C22×C4×C31—21no—
94C22×C4×C31—21no—
95C22×C4×C31—21no—
96C22×C4×C31—21no—
97C22×C4×C31—21no—
98C22×C4×C31—21no—
99C22×C4×C31—21no—
100C22×C4×C31—21no—
101C22×C4×C31—22no—
102C22×C4×C31—21no—
103C22×C4×C31—21no—
104C22×C4×C31—21no—
105C22×C4×C31—21no—
106C22×C4×C31—21no—
107C22×C4×C31—21no—
108C22×C4×C31—21no—
109C22×C4×C31—21no—
110C22×C4×C31—21no—
111C22×C4×C31—21no—
112C22×C4×C31—21no—
113C22×C4×C31—21no—
114C22×C4×C31—21no—
115C22×C4×C31—21no—
116C22×C4×C31—22no—
117C22×C4×C31—22no—
118C22×C4×C31—22no—
119C22×C4×C31—22no—
120C22×C4×C31—22no—
121C22×C4×C31—22no—
122C22×C4×C31—21no—
123C22×C4×C31—21no—
124C22×C4×C31—21no—
125C22×C4×C31—22no—
126C22×C4×C31—21no—
127C22×C4×C31—21no—
128C22×C4×C31—21no—
129C22×C4×C31—21no—
130C22×C4×C31—22no—
131C22×C4×C31—22no—
132C22×C4×C31—22no—
133C22×C4×C31—21no—
134C22×C4×C31—21no—
135C22×C4×C31—21no—
136C22×C4×C31—21no—
137C22×C4×C31—21no—
138C22×C4×C31—22no—
139C22×C4×C31—22no—
140C22×C4×C31—22no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—22no—
148C22×C4×C31—22no—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31C2×D414yes—
153C22×C4×C31C2×D412yes—
154C22×C4×C31C2×Q812yes—
155C22×C4×C31C2×Q812yes—
156C22×C4×C31C2×Q812yes—
157C22×C4×C31C2×Q814yes—
158C22×C4×C31C2×Q812yes—
159C22×C4×C31#4112yes—
160C22×C4×C31#4112yes—
161C22×C4×C31#4112yes—
162C22×C4×C31#4112yes—
163C22×C4×C31#4112yes—
164C22×C4×C31#4112yes—
165C22×C4×C31#4112yes—
166C22×C4×C31#4112yes—
167C4⋊C4×C31—28no—
168C4⋊C4×C31—28no—
169C4⋊C4×C31—48no—
170C4⋊C4×C31—48no—
171C4⋊C4×C31—44no—
172C4⋊C4×C31—44no—
173C42×C31—44no—
174C42×C31—44no—
175C42×C31—44no—
176#15187C3111yesmaximal, characteristic, direct product factor, Sylow
177C23×C31C22×D411yescharacteristic
178C23×C31C22×Q811yescharacteristic
179C23×C31C22×Q811yescharacteristic
180C23×C31C2×#4111yescharacteristic
181C23×C31C2×#4111yescharacteristic
182C23×C31C2×#4111yescharacteristic
183C23×C31C2×#4111yescharacteristic
184C23×C31C2×#4111yescharacteristic
185C23×C31C2×#4111yescharacteristic
186C23×C31C2×#4111yescharacteristic
187C23×C31C2×#4111yescharacteristic
188C23×C31H(5,𝔽2)11yescharacteristic
189C23×C31H(5,𝔽2)11yescharacteristic
190C23×C31H(5,𝔽2)11yescharacteristic
191C23×C312−1+411yescharacteristic
192C2×C4×C31—24no—
193C2×C4×C31—24no—
194C2×C4×C31—22no—
195C2×C4×C31—22no—
196C2×C4×C31—22no—
197C2×C4×C31—22no—
198C2×C4×C31—22no—
199C2×C4×C31—22no—
200C2×C4×C31—22no—
201C2×C4×C31—22no—
202C2×C4×C31—24no—
203C2×C4×C31—24no—
204C2×C4×C31—22no—
205C2×C4×C31—22no—
206C2×C4×C31—22no—
207C2×C4×C31—22no—
208C2×C4×C31—22no—
209C2×C4×C31—22no—
210C2×C4×C31—22no—
211C2×C4×C31—24no—
212C2×C4×C31—24no—
213C2×C4×C31—22no—
214C2×C4×C31—22no—
215C2×C4×C31—22no—
216C2×C4×C31—41no—
217C2×C4×C31—41no—
218C2×C4×C31—41no—
219C2×C4×C31—41no—
220C2×C4×C31—41no—
221C2×C4×C31—41no—
222C2×C4×C31—42no—
223C2×C4×C31—42no—
224C2×C4×C31—41no—
225C2×C4×C31—42no—
226C2×C4×C31—42no—
227C2×C4×C31—41no—
228C2×C4×C31—41no—
229C2×C4×C31—41no—
230C2×C4×C31—41no—
231C2×C4×C31—41no—
232C2×C4×C31—42no—
233C2×C4×C31—41no—
234C2×C4×C31—41no—
235C2×C4×C31—41no—
236C2×C4×C31—42no—
237C2×C4×C31—41no—
238C2×C4×C31—41no—
239C2×C4×C31—42no—
240C2×C4×C31—41no—
241C2×C4×C31—41no—
242C2×C4×C31—41no—
243C2×C4×C31—41no—
244C2×C4×C31—42no—
245C2×C4×C31—41no—
246C2×C4×C31—41no—
247C2×C4×C31—41no—
248C2×C4×C31—42no—
249C2×C4×C31—42no—
250C2×C4×C31—42no—
251C2×C4×C31—42no—
252C2×C4×C31—42no—
253C2×C4×C31—42no—
254C2×C4×C31—42no—
255C2×C4×C31—42no—
256C2×C4×C31—42no—
257C2×C4×C31—42no—
258C2×C4×C31—42no—
259C2×C4×C31—42no—
260C2×C4×C31—42no—
261C2×C4×C31—42no—
262C2×C4×C31C22⋊Q814yes—
263C2×C4×C31#12314yes—
264C2×C4×C31#12414yes—
265C2×C4×C31#12514yes—
266C2×C4×C31#12514yes—
267C2×C4×C31#12614yes—
268C2×C4×C31#12614yes—
269C2×#389C2×C3111yescharacteristic
270C2×#389C2×C3111yescharacteristic
271#1445C2×C3112yes—
272#1443C2×C3112yes—
273#1442C2×C3112yes—
274#1441C2×C3112yes—
275C4⋊#95C2×C3111yescharacteristic
276C4⋊#95C2×C3111yescharacteristic
277C4⋊#95C2×C3111yescharacteristic
278C4⋊#95C2×C3111yescharacteristic
279C4×#95C2×C3111yescharacteristic
280C22×C31C2×C22⋊Q811yescharacteristic
281C22×C31C2×#12311yescharacteristic
282C22×C31C2×#12411yescharacteristic
283C22×C31C2×#12511yescharacteristic
284C22×C31C2×#12511yescharacteristic
285C22×C31C2×#12611yescharacteristic
286C22×C31C2×#12611yescharacteristic
287C22×C31#52911yescharacteristic
288C22×C31#52911yescharacteristic
289C22×C31#52911yescharacteristic
290C22×C31#53311yescharacteristic
291C22×C31#53311yescharacteristic
292C22×C31#53311yescharacteristic
293C22×C31#54011yescharacteristic
294C22×C31#54011yescharacteristic
295C22×C31#54011yescharacteristic
296C22×C31#54211yescharacteristic
297C22×C31#54211yescharacteristic
298C22×C31#54211yescharacteristic
299C22×C31#54611yescharacteristic
300C22×C31#54611yescharacteristic
301C22×C31D4×Q811yescharacteristic
302C22×C31#55011yescharacteristic
303C22×C31#55211yescharacteristic
304C22×C31#55311yescharacteristic
305C22×C31#55311yescharacteristic
306C22×C31#55311yescharacteristic
307C22×C31#55411yescharacteristic
308C22×C31#55411yescharacteristic
309C22×C31#55411yescharacteristic
310C22×C31#55411yescharacteristic
311C22×C31#55511yescharacteristic
312C22×C31#55611yescharacteristic
313C22×C31#55711yescharacteristic
314C22×C31Q8211yescharacteristic
315C4×C31—44no—
316C4×C31—42no—
317C4×C31—42no—
318C4×C31—44no—
319C4×C31—42no—
320C4×C31—42no—
321C4×C31—42no—
322C4×C31—42no—
323C4×C31—82no—
324C4×C31—82no—
325C4×C31#40018yes—
326C22×C4⋊C4C22×C3111yescharacteristic
327C22×C4⋊C4C22×C3111yescharacteristic
328C22×C4⋊C4C22×C3112yes—
329C22×C4⋊C4C22×C3112yes—
330C22×C4⋊C4C22×C3111yescharacteristic
331C22×C4⋊C4C22×C3111yescharacteristic
332C22×C42C22×C3111yescharacteristic
333C22×C42C22×C3111yescharacteristic
334C22×C42C22×C3111yescharacteristic
335#389—24no—
336#389—24no—
337C2×#95C22×C3111yescharacteristic
338C2×#95C22×C3111yescharacteristic
339C2×#95C22×C3111yescharacteristic
340C2×#95C22×C3112yes—
341C2×#95C22×C3112yes—
342C2×#95C22×C3112yes—
343C2×#95C22×C3112yes—
344C2×#95C22×C3112yes—
345C2×#95C22×C3112yes—
346C2×#95C22×C3112yes—
347C2×#95C22×C3112yes—
348C2×#95C22×C3112yes—
349C2×#95C22×C3112yes—
350C2×#95C22×C3111yescharacteristic
351C2×C31C2×#40011yescharacteristic
352C2×C31#242011yescharacteristic
353C2×C31#242311yescharacteristic
354C2×C31#245111yescharacteristic
355C2×C31#245411yescharacteristic
356C2×C31#249011yescharacteristic
357C2×C31#249211yescharacteristic
358C2×C31#249411yescharacteristic
359C2×C31#249711yescharacteristic
360C2×C31#250711yescharacteristic
361C2×C31#250711yescharacteristic
362C2×C31#250811yescharacteristic
363C2×C31#250911yescharacteristic
364C2×C31#264411yescharacteristic
365C2×C31#286311yescharacteristic
366C23×C4C23×C3112yes—
367C23×C4C23×C3112yes—
368C23×C4C23×C3112yes—
369C23×C4C23×C3112yes—
370C23×C4C23×C3111yescharacteristic
371C23×C4C23×C3111yescharacteristic
372C23×C4C23×C3111yescharacteristic
373C23×C4C23×C3111yescharacteristic
374C23×C4C23×C3111yescharacteristic
375C23×C4C23×C3111yescharacteristic
376C23×C4C23×C3111yescharacteristic
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—24no—
382C2×C4⋊C4—24no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—24no—
385C2×C4⋊C4—24no—
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—42no—
392C2×C4⋊C4—42no—
393C2×C4⋊C4D4×C3114yes—
394C2×C4⋊C4Q8×C3114yes—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404#95—24no—
405#95—24no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—24no—
410#95—42no—
411#95—42no—
412#95—42no—
413#95—42no—
414#95—42no—
415#95—42no—
416#95—42no—
417#95Q8×C3114yes—
418C31#1518711yescharacteristic, direct product factor, Sylow
419C24C24×C3111yescharacteristic
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—22no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4C2×D4×C3114yes—
483C22×C4C2×D4×C3112yes—
484C22×C4C2×Q8×C3112yes—
485C22×C4C2×Q8×C3112yes—
486C22×C4C2×Q8×C3112yes—
487C22×C4C2×Q8×C3114yes—
488C22×C4C2×Q8×C3112yes—
489C22×C4#41×C3112yes—
490C22×C4#41×C3112yes—
491C22×C4#41×C3112yes—
492C22×C4#41×C3112yes—
493C22×C4#41×C3112yes—
494C22×C4#41×C3112yes—
495C22×C4#41×C3112yes—
496C22×C4#41×C3112yes—
497C4⋊C4—28no—
498C4⋊C4—28no—
499C4⋊C4—48no—
500C4⋊C4—48no—
501C4⋊C4—44no—
502C4⋊C4—44no—
503C42—44no—
504C42—44no—
505C42—44no—
506C23C22×D4×C3111yescharacteristic
507C23C22×Q8×C3111yescharacteristic
508C23C22×Q8×C3111yescharacteristic
509C23C2×#41×C3111yescharacteristic
510C23C2×#41×C3111yescharacteristic
511C23C2×#41×C3111yescharacteristic
512C23C2×#41×C3111yescharacteristic
513C23C2×#41×C3111yescharacteristic
514C23C2×#41×C3111yescharacteristic
515C23C2×#41×C3111yescharacteristic
516C23C2×#41×C3111yescharacteristic
517C23C31×H(5,𝔽2)11yescharacteristic
518C23C31×H(5,𝔽2)11yescharacteristic
519C23C31×H(5,𝔽2)11yescharacteristic
520C23C31×2−1+411yescharacteristic
521C2×C4—24no—
522C2×C4—24no—
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—24no—
532C2×C4—24no—
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—24no—
541C2×C4—24no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—42no—
552C2×C4—42no—
553C2×C4—41no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—42no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—42no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—42no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4C31×C22⋊Q814yes—
592C2×C4C31×#12314yes—
593C2×C4C31×#12414yes—
594C2×C4C31×#12514yes—
595C2×C4C31×#12514yes—
596C2×C4C31×#12614yes—
597C2×C4C31×#12614yes—
598C22C2×C31×C22⋊Q811yescharacteristic
599C22C2×C31×#12311yescharacteristic
600C22C2×C31×#12411yescharacteristic
601C22C2×C31×#12511yescharacteristic
602C22C2×C31×#12511yescharacteristic
603C22C2×C31×#12611yescharacteristic
604C22C2×C31×#12611yescharacteristic
605C22C31×#52911yescharacteristic
606C22C31×#52911yescharacteristic
607C22C31×#52911yescharacteristic
608C22C31×#53311yescharacteristic
609C22C31×#53311yescharacteristic
610C22C31×#53311yescharacteristic
611C22C31×#54011yescharacteristic
612C22C31×#54011yescharacteristic
613C22C31×#54011yescharacteristic
614C22C31×#54211yescharacteristic
615C22C31×#54211yescharacteristic
616C22C31×#54211yescharacteristic
617C22C31×#54611yescharacteristic
618C22C31×#54611yescharacteristic
619C22D4×Q8×C3111yescharacteristic
620C22C31×#55011yescharacteristic
621C22C31×#55211yescharacteristic
622C22C31×#55311yescharacteristic
623C22C31×#55311yescharacteristic
624C22C31×#55311yescharacteristic
625C22C31×#55411yescharacteristic
626C22C31×#55411yescharacteristic
627C22C31×#55411yescharacteristic
628C22C31×#55411yescharacteristic
629C22C31×#55511yescharacteristic
630C22C31×#55611yescharacteristic
631C22C31×#55711yescharacteristic
632C22Q82×C3111yescharacteristic
633C4—44no—
634C4—42no—
635C4—42no—
636C4—44no—
637C4—42no—
638C4—42no—
639C4—42no—
640C4—42no—
641C4—82no—
642C4—82no—
643C4C31×#40018yes—
644C2C2×C31×#40011yescharacteristic
645C2C31×#242011yescharacteristic
646C2C31×#242311yescharacteristic
647C2C31×#245111yescharacteristic
648C2C31×#245411yescharacteristic
649C2C31×#249011yescharacteristic
650C2C31×#249211yescharacteristic
651C2C31×#249411yescharacteristic
652C2C31×#249711yescharacteristic
653C2C31×#250711yescharacteristic
654C2C31×#250711yescharacteristic
655C2C31×#250811yescharacteristic
656C2C31×#250911yescharacteristic
657C2C31×#264411yescharacteristic
658C2C31×#286311yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C31C24
commutator, Frattini, cosocleC24C24×C31
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
176. #15187C31direct (N × H)
418. C31#15187direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#3892
C31×#14452
C31×#14432
C31×#14422
C31×#14412
C31×C4⋊#952
C4×C31×#952
#1518731