Finite Group Databasebeta

← C31×#23997 #21480756

Subgroups — C31×#23997 #21480756

Order 7936.

1210 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3491C211yesmaximal, characteristic, complemented
2C31×#3026C211yesmaximal, characteristic
3C2×C31×#458C211yesmaximal, characteristic, complemented
4C31×#2883C211yesmaximal, characteristic, complemented
5C31×#2032C212yesmaximal, complemented
6C31×#2022C212yesmaximal, complemented
7C31×#1913C212yesmaximal, complemented
8C31×#1913C211yesmaximal, characteristic, complemented
9C31×#1899C212yesmaximal, complemented
10C31×#1890C211yesmaximal, characteristic, complemented
11C31×#1828C211yesmaximal, characteristic, complemented
12C2×C31×H(5,𝔽2)C2211yescharacteristic
13C31×#552—22no—
14C31×#552—22no—
15C31×#551—22no—
16C31×#551—22no—
17C31×#543C2211yescharacteristic, complemented
18C31×#539—22no—
19C31×#534C2212yes—
20C31×#534C2211yescharacteristic
21C31×#529—22no—
22C2×C31×#123C2212yes—
23C2×C31×#123C2211yescharacteristic
24C2×C31×#123C2211yescharacteristic, complemented
25C31×#518C2211yescharacteristic
26C31×#518C2211yescharacteristic
27C31×#518C2211yescharacteristic, complemented
28C2×C31×#117C2211yescharacteristic, complemented
29C31×#458—22no—
30C31×#458—22no—
31C31×#458—22no—
32C31×B(4,𝔽2)—22no—
33C31×#410—22no—
34C2×C31×#99—22no—
35C2×C31×#99C2211yescharacteristic
36C2×C31×#99C2211yescharacteristic
37C2×C31×#99C2212yes—
38C2×C31×#99C2212yes—
39C2×C31×#99C2212yes—
40C2×C31×#99C2212yes—
41C2×C31×#99C2212yescomplemented
42C31×#381C2212yescomplemented
43C31×#342C2212yescomplemented
44C31×#342C2212yescomplemented
45C31×#342C2212yescomplemented
46C31×#342C2212yescomplemented
47C31×H(5,𝔽2)—22no—
48C31×H(5,𝔽2)—22no—
49C31×H(5,𝔽2)—42no—
50C2×#41×C31—21no—
51C2×#41×C31—22no—
52C22×D4×C31—21no—
53C22×D4×C31—22no—
54C22×D4×C31C2311yescharacteristic
55C22×D4×C31C2311yescharacteristic
56C22×D4×C31C2312yes—
57C23×C4×C31C2311yescharacteristic
58C31×#126—22no—
59C31×#126—22no—
60C31×#126—22no—
61C31×#126—22no—
62C31×#125—22no—
63C31×#125—22no—
64C31×#125—22no—
65C31×#124—22no—
66C31×#123—22no—
67C31×#123—22no—
68C31×#123—22no—
69C31×#123—21no—
70C31×#123—21no—
71C31×#123—21no—
72C31×#123—22no—
73C31×#123—22no—
74C31×#123—22no—
75C31×#123—22no—
76C31×#123—22no—
77C31×#123—42no—
78C31×#123D412yes—
79C31×#123D412yescomplemented
80C31×#123D412yescomplemented
81C31×C22⋊Q8—22no—
82C31×C22⋊Q8—22no—
83C31×C22⋊Q8—22no—
84C31×C22⋊Q8—22no—
85C31×C22⋊Q8—22no—
86C31×#121—22no—
87C31×#121—42no—
88C31×#120—21no—
89C31×#120—22no—
90C31×#120—22no—
91C31×#120D412yes—
92C4×Q8×C31—22no—
93C4×D4×C31—22no—
94C4×D4×C31—22no—
95C4×D4×C31—22no—
96C4×D4×C31—22no—
97C4×D4×C31—22no—
98C4×D4×C31—42no—
99C31×#117—22no—
100C31×#117—22no—
101C31×#117—21no—
102C31×#117—22no—
103C31×#117—22no—
104C31×#117—21no—
105C31×#117D412yescomplemented
106C2×C4⋊C4×C31—21no—
107C2×C4⋊C4×C31—21no—
108C2×C4⋊C4×C31—21no—
109C2×C4⋊C4×C31—22no—
110C2×C22⋊C4×C31—21no—
111C2×C22⋊C4×C31—21no—
112C2×C22⋊C4×C31—21no—
113C2×C22⋊C4×C31—21no—
114C2×C22⋊C4×C31—22no—
115C2×C22⋊C4×C31D412yescomplemented
116C2×C22⋊C4×C31C2312yes—
117C2×C22⋊C4×C31C2312yes—
118C2×C22⋊C4×C31C2312yes—
119C2×C22⋊C4×C31C2311yescharacteristic
120C2×C22⋊C4×C31C2311yescharacteristic
121C2×C22⋊C4×C31C2311yescharacteristic
122C2×C22⋊C4×C31C2311yescharacteristic
123C2×C42×C31—21no—
124C31×#99—22no—
125C31×#99—22no—
126C31×#99—24no—
127C31×#99—24no—
128C31×#99—24no—
129C31×#99—24no—
130C31×#99—42no—
131C31×#95—42no—
132C24×C31—21no—
133C24×C31C2×D411yescharacteristic
134C24×C31C2×D411yescharacteristic
135C24×C31#4112yes—
136C24×C31C2411yescharacteristic
137#41×C31—44no—
138#41×C31—44no—
139#41×C31—42no—
140#41×C31—42no—
141C2×Q8×C31—21no—
142C2×Q8×C31—22no—
143C2×D4×C31—22no—
144C2×D4×C31—22no—
145C2×D4×C31—21no—
146C2×D4×C31—22no—
147C2×D4×C31—22no—
148C2×D4×C31—22no—
149C2×D4×C31—22no—
150C2×D4×C31—21no—
151C2×D4×C31—21no—
152C2×D4×C31—22no—
153C2×D4×C31—22no—
154C2×D4×C31—22no—
155C2×D4×C31—22no—
156C2×D4×C31—22no—
157C2×D4×C31—22no—
158C2×D4×C31—44no—
159C2×D4×C31—44no—
160C2×D4×C31—42no—
161C2×D4×C31—42no—
162C2×D4×C31—42no—
163C2×D4×C31C2×D412yes—
164C2×D4×C31C2×D412yes—
165C22×C4×C31—22no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—21no—
169C22×C4×C31—22no—
170C22×C4×C31—22no—
171C22×C4×C31—22no—
172C22×C4×C31—22no—
173C22×C4×C31—21no—
174C22×C4×C31—21no—
175C22×C4×C31—21no—
176C22×C4×C31—21no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—22no—
180C22×C4×C31—41no—
181C22×C4×C31C2×D411yescharacteristic
182C22×C4×C31C2×D411yescharacteristic
183C22×C4×C31C2×D411yescharacteristic
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31#4112yes—
186C4⋊C4×C31—22no—
187C4⋊C4×C31—22no—
188C4⋊C4×C31—22no—
189C4⋊C4×C31—22no—
190C4⋊C4×C31—22no—
191C4⋊C4×C31—22no—
192C4⋊C4×C31—22no—
193C4⋊C4×C31—22no—
194C4⋊C4×C31—22no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—22no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—42no—
199C4⋊C4×C31—42no—
200C4⋊C4×C31—42no—
201C4⋊C4×C31—41no—
202C22⋊C4×C31—22no—
203C22⋊C4×C31—22no—
204C22⋊C4×C31—22no—
205C22⋊C4×C31—22no—
206C22⋊C4×C31—22no—
207C22⋊C4×C31—22no—
208C22⋊C4×C31—22no—
209C22⋊C4×C31—21no—
210C22⋊C4×C31—21no—
211C22⋊C4×C31—21no—
212C22⋊C4×C31—21no—
213C22⋊C4×C31—22no—
214C22⋊C4×C31—22no—
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—22no—
220C22⋊C4×C31—42no—
221C22⋊C4×C31—42no—
222C22⋊C4×C31—42no—
223C22⋊C4×C31—42no—
224C22⋊C4×C31—41no—
225C22⋊C4×C31C2×D412yes—
226C22⋊C4×C31C2×D412yes—
227C22⋊C4×C31C2×D412yes—
228C22⋊C4×C31C2×D412yes—
229C42×C31—22no—
230C42×C31—22no—
231C42×C31—22no—
232C42×C31—22no—
233C42×C31—41no—
234#23997C3111yesmaximal, characteristic, direct product factor, Sylow
235C23×C31—21no—
236C23×C31—21no—
237C23×C31—21no—
238C23×C31—22no—
239C23×C31—22no—
240C23×C31—22no—
241C23×C31—22no—
242C23×C31—42no—
243C23×C31—81no—
244C23×C31—81no—
245C23×C31—81no—
246C23×C31—82no—
247C23×C31—161no—
248C23×C31#12012yes—
249C23×C31C22×D411yescharacteristic
250C23×C31C22×D411yescharacteristic
251C23×C31C22×D411yescharacteristic
252C23×C31C2×#4112yes—
253C23×C31H(5,𝔽2)12yes—
254Q8×C31—42no—
255Q8×C31—82no—
256D4×C31—24no—
257D4×C31—24no—
258D4×C31—42no—
259D4×C31—44no—
260D4×C31—42no—
261D4×C31—41no—
262D4×C31—41no—
263D4×C31—42no—
264D4×C31—42no—
265D4×C31—42no—
266D4×C31—42no—
267D4×C31—82no—
268D4×C31—162no—
269C2×C4×C31—21no—
270C2×C4×C31—21no—
271C2×C4×C31—21no—
272C2×C4×C31—22no—
273C2×C4×C31—22no—
274C2×C4×C31—21no—
275C2×C4×C31—22no—
276C2×C4×C31—22no—
277C2×C4×C31—21no—
278C2×C4×C31—22no—
279C2×C4×C31—22no—
280C2×C4×C31—22no—
281C2×C4×C31—22no—
282C2×C4×C31—22no—
283C2×C4×C31—22no—
284C2×C4×C31—44no—
285C2×C4×C31—42no—
286C2×C4×C31—41no—
287C2×C4×C31—41no—
288C2×C4×C31—42no—
289C2×C4×C31—42no—
290C2×C4×C31—42no—
291C2×C4×C31—42no—
292C2×C4×C31—81no—
293C2×C4×C31—82no—
294C2×C4×C31—82no—
295C2×C4×C31—81no—
296C2×C4×C31—81no—
297C2×C4×C31—81no—
298C2×C4×C31—82no—
299C2×C4×C31—82no—
300C2×C4×C31—82no—
301C2×C4×C31—161no—
302C2×C4×C31#12012yes—
303#3491C2×C3111yescharacteristic, complemented
304#3026C2×C3111yescharacteristic
305C2×#458C2×C3111yescharacteristic, complemented
306#2883C2×C3111yescharacteristic, complemented
307#2032C2×C3112yescomplemented
308#2022C2×C3112yescomplemented
309#1913C2×C3111yescharacteristic, complemented
310#1913C2×C3112yescomplemented
311#1899C2×C3112yescomplemented
312#1890C2×C3111yescharacteristic, complemented
313#1828C2×C3111yescharacteristic, complemented
314C22×C31—22no—
315C22×C31—41no—
316C22×C31—42no—
317C22×C31—41no—
318C22×C31—41no—
319C22×C31—42no—
320C22×C31—42no—
321C22×C31—42no—
322C22×C31—42no—
323C22×C31—41no—
324C22×C31—81no—
325C22×C31—81no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31—82no—
329C22×C31—82no—
330C22×C31—162no—
331C22×C31C2×#12011yescharacteristic
332C22×C31#52511yescharacteristic
333C22×C31#53511yescharacteristic
334C22×C31#54612yes—
335C22×C31#54612yes—
336C4×C31—22no—
337C4×C31—42no—
338C4×C31—42no—
339C4×C31—42no—
340C4×C31—42no—
341C4×C31—41no—
342C4×C31—41no—
343C4×C31—42no—
344C4×C31—41no—
345C4×C31—82no—
346C4×C31—82no—
347C4×C31—82no—
348C2×H(5,𝔽2)C22×C3111yescharacteristic
349#552—22no—
350#552—22no—
351#551—22no—
352#551—22no—
353#543C22×C3111yescharacteristic, complemented
354#539—22no—
355#534C22×C3112yes—
356#534C22×C3111yescharacteristic
357#529—22no—
358C2×#123C22×C3112yes—
359C2×#123C22×C3111yescharacteristic
360C2×#123C22×C3111yescharacteristic, complemented
361#518C22×C3111yescharacteristic
362#518C22×C3111yescharacteristic
363#518C22×C3111yescharacteristic, complemented
364C2×#117C22×C3111yescharacteristic, complemented
365#458—22no—
366#458—22no—
367#458—22no—
368B(4,𝔽2)—22no—
369#410—22no—
370C2×#99—22no—
371C2×#99C22×C3111yescharacteristic
372C2×#99C22×C3111yescharacteristic
373C2×#99C22×C3112yes—
374C2×#99C22×C3112yes—
375C2×#99C22×C3112yes—
376C2×#99C22×C3112yes—
377C2×#99C22×C3112yescomplemented
378#381C22×C3112yescomplemented
379#342C22×C3112yescomplemented
380#342C22×C3112yescomplemented
381#342C22×C3112yescomplemented
382#342C22×C3112yescomplemented
383C2×C31—21no—
384C2×C31—21no—
385C2×C31—22no—
386C2×C31—22no—
387C2×C31—21no—
388C2×C31—42no—
389C2×C31—81no—
390C2×C31—82no—
391C2×C31#240411yescharacteristic
392H(5,𝔽2)—22no—
393H(5,𝔽2)—22no—
394H(5,𝔽2)—42no—
395C2×#41—21no—
396C2×#41—22no—
397C22×D4—21no—
398C22×D4—22no—
399C22×D4C23×C3111yescharacteristic
400C22×D4C23×C3111yescharacteristic
401C22×D4C23×C3112yes—
402C23×C4C23×C3111yescharacteristic
403#126—22no—
404#126—22no—
405#126—22no—
406#126—22no—
407#125—22no—
408#125—22no—
409#125—22no—
410#124—22no—
411#123—22no—
412#123—22no—
413#123—22no—
414#123—21no—
415#123—21no—
416#123—21no—
417#123—22no—
418#123—22no—
419#123—22no—
420#123—22no—
421#123—22no—
422#123—42no—
423#123D4×C3112yes—
424#123D4×C3112yescomplemented
425#123D4×C3112yescomplemented
426C22⋊Q8—22no—
427C22⋊Q8—22no—
428C22⋊Q8—22no—
429C22⋊Q8—22no—
430C22⋊Q8—22no—
431#121—22no—
432#121—42no—
433#120—21no—
434#120—22no—
435#120—22no—
436#120D4×C3112yes—
437C4×Q8—22no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—42no—
444#117—22no—
445#117—22no—
446#117—21no—
447#117—22no—
448#117—22no—
449#117—21no—
450#117D4×C3112yescomplemented
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—22no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4D4×C3112yescomplemented
461C2×C22⋊C4C23×C3112yes—
462C2×C22⋊C4C23×C3112yes—
463C2×C22⋊C4C23×C3112yes—
464C2×C22⋊C4C23×C3111yescharacteristic
465C2×C22⋊C4C23×C3111yescharacteristic
466C2×C22⋊C4C23×C3111yescharacteristic
467C2×C22⋊C4C23×C3111yescharacteristic
468C2×C42—21no—
469#99—22no—
470#99—22no—
471#99—24no—
472#99—24no—
473#99—24no—
474#99—24no—
475#99—42no—
476#95—42no—
477C31#2399711yescharacteristic, direct product factor, Sylow
478C24—21no—
479C24C2×D4×C3111yescharacteristic
480C24C2×D4×C3111yescharacteristic
481C24#41×C3112yes—
482C24C24×C3111yescharacteristic
483#41—44no—
484#41—44no—
485#41—42no—
486#41—42no—
487C2×Q8—21no—
488C2×Q8—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—21no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4C2×D4×C3112yes—
510C2×D4C2×D4×C3112yes—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—41no—
527C22×C4C2×D4×C3111yescharacteristic
528C22×C4C2×D4×C3111yescharacteristic
529C22×C4C2×D4×C3111yescharacteristic
530C22×C4C2×D4×C3111yescharacteristic
531C22×C4#41×C3112yes—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—41no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—21no—
556C22⋊C4—21no—
557C22⋊C4—21no—
558C22⋊C4—21no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—41no—
571C22⋊C4C2×D4×C3112yes—
572C22⋊C4C2×D4×C3112yes—
573C22⋊C4C2×D4×C3112yes—
574C22⋊C4C2×D4×C3112yes—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—41no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—42no—
588C23—81no—
589C23—81no—
590C23—81no—
591C23—82no—
592C23—161no—
593C23C31×#12012yes—
594C23C22×D4×C3111yescharacteristic
595C23C22×D4×C3111yescharacteristic
596C23C22×D4×C3111yescharacteristic
597C23C2×#41×C3112yes—
598C23C31×H(5,𝔽2)12yes—
599Q8—42no—
600Q8—82no—
601D4—24no—
602D4—24no—
603D4—42no—
604D4—44no—
605D4—42no—
606D4—41no—
607D4—41no—
608D4—42no—
609D4—42no—
610D4—42no—
611D4—42no—
612D4—82no—
613D4—162no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—44no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—82no—
639C2×C4—82no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—81no—
643C2×C4—82no—
644C2×C4—82no—
645C2×C4—82no—
646C2×C4—161no—
647C2×C4C31×#12012yes—
648C22—22no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—41no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—41no—
658C22—81no—
659C22—81no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—82no—
664C22—162no—
665C22C2×C31×#12011yescharacteristic
666C22C31×#52511yescharacteristic
667C22C31×#53511yescharacteristic
668C22C31×#54612yes—
669C22C31×#54612yes—
670C4—22no—
671C4—42no—
672C4—42no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—82no—
680C4—82no—
681C4—82no—
682C2—21no—
683C2—21no—
684C2—22no—
685C2—22no—
686C2—21no—
687C2—42no—
688C2—81no—
689C2—82no—
690C2C31×#240411yescharacteristic
subgroupG/H
center, socleC2×C31#2404
commutator, Frattini, cosocleC24C24×C31
prime radicalC31×#3026C2
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C2×C31 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3491C2semidirect
3. C2×C31×#458C2semidirect
4. C31×#2883C2semidirect
5. C31×#2032C2semidirect
6. C31×#2022C2semidirect
7. C31×#1913C2semidirect
8. C31×#1913C2semidirect
9. C31×#1899C2semidirect
10. C31×#1890C2semidirect
11. C31×#1828C2semidirect
17. C31×#543C22semidirect
24. C2×C31×#123C22semidirect
27. C31×#518C22semidirect
28. C2×C31×#117C22semidirect
41. C2×C31×#99C22semidirect
42. C31×#381C22semidirect
43. C31×#342C22semidirect
44. C31×#342C22semidirect
45. C31×#342C22semidirect
46. C31×#342C22semidirect
79. C31×#123D4semidirect
80. C31×#123D4semidirect
105. C31×#117D4semidirect
115. C2×C22⋊C4×C31D4semidirect
234. #23997C31direct (N × H)
303. #3491C2×C31semidirect
305. C2×#458C2×C31semidirect
306. #2883C2×C31semidirect
307. #2032C2×C31semidirect
308. #2022C2×C31semidirect
309. #1913C2×C31semidirect
310. #1913C2×C31semidirect
311. #1899C2×C31semidirect
312. #1890C2×C31semidirect
313. #1828C2×C31semidirect
353. #543C22×C31semidirect
360. C2×#123C22×C31semidirect
363. #518C22×C31semidirect
364. C2×#117C22×C31semidirect
377. C2×#99C22×C31semidirect
378. #381C22×C31semidirect
379. #342C22×C31semidirect
380. #342C22×C31semidirect
381. #342C22×C31semidirect
382. #342C22×C31semidirect
424. #123D4×C31semidirect
425. #123D4×C31semidirect
450. #117D4×C31semidirect
460. C2×C22⋊C4D4×C31semidirect
477. C31#23997direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34912
C31×#30262
C2×C31×#4582
C31×#28832
C31×#20322
C31×#20222
C31×#19132
C31×#18992
C31×#18902
C31×#18282
#2399731