Finite Group Databasebeta

← C31×#18570 #21475329

Subgroups — C31×#18570 #21475329

Order 7936.

1028 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3519C211yesmaximal, characteristic
2C31×#3239C211yesmaximal, characteristic, complemented
3C31×#3141C211yesmaximal, characteristic, complemented
4C2×C31×#461C211yesmaximal, characteristic, complemented
5C31×#1646C212yesmaximal, complemented
6C31×#1643C212yesmaximal, complemented
7C31×#1642C212yesmaximal, complemented
8C31×#1639C212yesmaximal, complemented
9C31×#1551C211yesmaximal, characteristic, complemented
10C31×#1490C211yesmaximal, characteristic, complemented
11C31×#1483C211yesmaximal, characteristic, complemented
12C22×SD16×C31—21no—
13C31×#555C2211yescharacteristic
14C31×#554C2211yescharacteristic
15C31×#553—21no—
16C31×#553—21no—
17C31×#550C2211yescharacteristic
18C31×#546—22no—
19C31×#546—21no—
20D42×C31—21no—
21D42×C31C2211yescharacteristic
22C31×#540—21no—
23C31×#538—22no—
24C31×#532C2211yescharacteristic
25C2×C31×C4⋊Q8C2211yescharacteristic, complemented
26C31×#529C2211yescharacteristic
27C31×#525—21no—
28C2×C31×#121—21no—
29C31×#518—21no—
30C2×C4×D4×C31C2211yescharacteristic
31C31×#501—21no—
32C31×#489—22no—
33C31×#489—21no—
34C31×#487C2212yescomplemented
35C31×#486C2212yescomplemented
36C31×#484—21no—
37C31×#481—21no—
38C31×#475C2212yescomplemented
39C31×#474C2212yescomplemented
40C31×#461—21no—
41C31×#461—21no—
42C31×#461C2212yes—
43C31×#461C2212yescomplemented
44C31×#432C2211yescharacteristic, complemented
45C2×C31×C4⋊C8C2211yescharacteristic, complemented
46C31×#417—22no—
47C2×C31×#103—21no—
48C4×M16×C31C2211yescharacteristic, complemented
49C31×#333C2212yescomplemented
50C31×#331C2212yescomplemented
51C31×Q8⋊C8C2212yescomplemented
52C31×D4⋊C8C2212yes—
53C31×D4⋊C8C2212yescomplemented
54C31×D4⋊C8C2212yescomplemented
55C2×#41×C31—21no—
56C2×#41×C31D412yes—
57C22×Q8×C31—21no—
58C22×D4×C31—22no—
59C22×D4×C31—21no—
60C22×D4×C31—21no—
61C22×D4×C31D411yescharacteristic
62C23×C4×C31—21no—
63C2×SD16×C31—22no—
64C2×SD16×C31—22no—
65C2×SD16×C31—44no—
66C2×M16×C31—21no—
67C22×C8×C31—21no—
68C31×C4⋊Q8—21no—
69C31×C4⋊Q8—21no—
70C31×C4⋊Q8—21no—
71C31×C4⋊Q8C2312yes—
72C31×C4⋊Q8C2311yescharacteristic
73C31×#127—21no—
74C31×#127C2311yescharacteristic
75C31×#126—22no—
76C31×#126—21no—
77C31×#125—21no—
78C31×#125D411yescharacteristic
79C31×#124—22no—
80C31×#124D411yescharacteristic
81C31×#124D412yes—
82C31×#123—22no—
83C31×#123—22no—
84C31×#123—22no—
85C31×#123—21no—
86C31×C22⋊Q8—21no—
87C31×C22⋊Q8—22no—
88C31×C22⋊Q8D411yescharacteristic
89C31×#121—22no—
90C31×#121—22no—
91C31×#121—22no—
92C31×#121—22no—
93C31×#121—21no—
94C31×#121—22no—
95C31×#121—21no—
96C31×#121—21no—
97C31×#121—21no—
98C31×#121—21no—
99C31×#121—21no—
100C31×#121—21no—
101C31×#121D411yescharacteristic
102C31×#120—22no—
103C31×#120—22no—
104C31×#120—22no—
105C4×Q8×C31C2311yescharacteristic
106C4×D4×C31—22no—
107C4×D4×C31—22no—
108C4×D4×C31—22no—
109C4×D4×C31—21no—
110C4×D4×C31—21no—
111C4×D4×C31—21no—
112C4×D4×C31—21no—
113C4×D4×C31—21no—
114C4×D4×C31—21no—
115C4×D4×C31—21no—
116C4×D4×C31D411yescharacteristic
117C4×D4×C31D411yescharacteristic
118C4×D4×C31C2311yescharacteristic
119C4×D4×C31C2311yescharacteristic
120C4×D4×C31C2311yescharacteristic
121C31×#117—21no—
122C31×#117—21no—
123C31×#117—21no—
124C2×C4⋊C4×C31—21no—
125C2×C4⋊C4×C31—21no—
126C2×C4⋊C4×C31—21no—
127C2×C4⋊C4×C31D411yescharacteristic
128C2×C22⋊C4×C31—22no—
129C2×C22⋊C4×C31—22no—
130C2×C22⋊C4×C31—21no—
131C2×C42×C31C2311yescharacteristic
132C31×#107—22no—
133C31×#106—22no—
134C31×C4⋊C8—21no—
135C31×C4⋊C8C2312yes—
136C31×C4⋊C8C2312yes—
137C31×#103—24no—
138C31×#103—22no—
139C31×#103—22no—
140C31×#103—22no—
141C31×#102—24no—
142C31×#102—22no—
143C31×C22⋊C8—21no—
144C31×#97—21no—
145C31×#97—21no—
146C4×C8×C31C2312yes—
147C24×C31—22no—
148C24×C31—21no—
149#41×C31—44no—
150#41×C31—82no—
151C2×Q8×C31—22no—
152C2×Q8×C31—42no—
153C2×Q8×C31—42no—
154C2×Q8×C31—41no—
155C2×Q8×C31C2×D411yescharacteristic
156C2×Q8×C31C2×D412yes—
157C2×D4×C31—22no—
158C2×D4×C31—22no—
159C2×D4×C31—22no—
160C2×D4×C31—21no—
161C2×D4×C31—22no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—22no—
165C2×D4×C31—21no—
166C2×D4×C31—21no—
167C2×D4×C31—21no—
168C2×D4×C31—41no—
169C2×D4×C31—42no—
170C2×D4×C31—42no—
171C2×D4×C31—82no—
172C2×D4×C31—84no—
173C2×D4×C31C2×D411yescharacteristic
174C2×D4×C31C2×D411yescharacteristic
175C2×D4×C31C2×D411yescharacteristic
176C2×D4×C31C2×D412yes—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—21no—
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—22no—
185C22×C4×C31—21no—
186C22×C4×C31—41no—
187C22×C4×C31—82no—
188C22×C4×C31C2×D411yescharacteristic
189C22×C4×C31C2×D411yescharacteristic
190C22×C4×C31C2×D411yescharacteristic
191SD16×C31—44no—
192SD16×C31—44no—
193M16×C31—42no—
194C2×C8×C31—22no—
195C2×C8×C31—22no—
196C2×C8×C31—22no—
197C2×C8×C31—42no—
198C4⋊C4×C31—22no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—21no—
202C4⋊C4×C31—21no—
203C4⋊C4×C31—21no—
204C4⋊C4×C31—21no—
205C4⋊C4×C31—21no—
206C4⋊C4×C31—21no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31—41no—
210C4⋊C4×C31—41no—
211C4⋊C4×C31C2×D411yescharacteristic
212C4⋊C4×C31C2×D411yescharacteristic
213C4⋊C4×C31C2×D411yescharacteristic
214C4⋊C4×C31C2×D411yescharacteristic
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—22no—
220C22⋊C4×C31—21no—
221C22⋊C4×C31—21no—
222C22⋊C4×C31—21no—
223C22⋊C4×C31—21no—
224C22⋊C4×C31—22no—
225C22⋊C4×C31—21no—
226C22⋊C4×C31—21no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—21no—
229C22⋊C4×C31—21no—
230C22⋊C4×C31—21no—
231C42×C31—22no—
232C42×C31—21no—
233C42×C31C2×D411yescharacteristic
234C42×C31C2×D411yescharacteristic
235C42×C31C2×D411yescharacteristic
236C42×C31C2411yescharacteristic
237#18570C3111yesmaximal, characteristic, direct product factor, Sylow
238C23×C31—21no—
239C23×C31—21no—
240C23×C31—21no—
241C23×C31—22no—
242C23×C31—42no—
243C23×C31—44no—
244C23×C31—42no—
245C23×C31—81no—
246C23×C31—82no—
247C23×C31—82no—
248C23×C31#12011yescharacteristic
249Q8×C31—22no—
250Q8×C31—42no—
251Q8×C31—42no—
252Q8×C31—42no—
253Q8×C31—82no—
254D4×C31—21no—
255D4×C31—21no—
256D4×C31—21no—
257D4×C31—22no—
258D4×C31—42no—
259D4×C31—42no—
260D4×C31—44no—
261D4×C31—42no—
262D4×C31—44no—
263D4×C31—41no—
264D4×C31—41no—
265D4×C31—42no—
266D4×C31—82no—
267D4×C31—82no—
268D4×C31—82no—
269D4×C31—82no—
270D4×C31AGL(1,ℤ/8)12yes—
271C2×C4×C31—22no—
272C2×C4×C31—21no—
273C2×C4×C31—21no—
274C2×C4×C31—22no—
275C2×C4×C31—21no—
276C2×C4×C31—21no—
277C2×C4×C31—21no—
278C2×C4×C31—22no—
279C2×C4×C31—21no—
280C2×C4×C31—21no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—81no—
287C2×C4×C31—81no—
288C2×C4×C31—82no—
289C2×C4×C31—81no—
290C2×C4×C31—82no—
291C2×C4×C31—82no—
292C2×C4×C31—82no—
293C2×C4×C31#12011yescharacteristic
294C2×C4×C31#12011yescharacteristic
295C2×C4×C31#12011yescharacteristic
296C2×C4×C31C22×D411yescharacteristic
297C2×C4×C31C22×D411yescharacteristic
298C2×C4×C31C22×D411yescharacteristic
299C8×C31—42no—
300C8×C31—42no—
301C8×C31—42no—
302#3519C2×C3111yescharacteristic
303#3239C2×C3111yescharacteristic, complemented
304#3141C2×C3111yescharacteristic, complemented
305C2×#461C2×C3111yescharacteristic, complemented
306#1646C2×C3112yescomplemented
307#1643C2×C3112yescomplemented
308#1642C2×C3112yescomplemented
309#1639C2×C3112yescomplemented
310#1551C2×C3111yescharacteristic, complemented
311#1490C2×C3111yescharacteristic, complemented
312#1483C2×C3111yescharacteristic, complemented
313C22×C31—21no—
314C22×C31—21no—
315C22×C31—22no—
316C22×C31—41no—
317C22×C31—41no—
318C22×C31—41no—
319C22×C31—41no—
320C22×C31—42no—
321C22×C31—41no—
322C22×C31—42no—
323C22×C31—41no—
324C22×C31—42no—
325C22×C31—41no—
326C22×C31—41no—
327C22×C31—84no—
328C22×C31—164no—
329C22×C31#45512yes—
330C22×C31C2×#12011yescharacteristic
331C4×C31—21no—
332C4×C31—21no—
333C4×C31—21no—
334C4×C31—21no—
335C4×C31—41no—
336C4×C31—41no—
337C4×C31—41no—
338C4×C31—41no—
339C4×C31—41no—
340C4×C31—42no—
341C4×C31—82no—
342C4×C31C2×AGL(1,ℤ/8)11yescharacteristic
343C4×C31#57511yescharacteristic
344C4×C31#57712yes—
345C22×SD16—21no—
346#555C22×C3111yescharacteristic
347#554C22×C3111yescharacteristic
348#553—21no—
349#553—21no—
350#550C22×C3111yescharacteristic
351#546—22no—
352#546—21no—
353D42—21no—
354D42C22×C3111yescharacteristic
355#540—21no—
356#538—22no—
357#532C22×C3111yescharacteristic
358C2×C4⋊Q8C22×C3111yescharacteristic, complemented
359#529C22×C3111yescharacteristic
360#525—21no—
361C2×#121—21no—
362#518—21no—
363C2×C4×D4C22×C3111yescharacteristic
364#501—21no—
365#489—22no—
366#489—21no—
367#487C22×C3112yescomplemented
368#486C22×C3112yescomplemented
369#484—21no—
370#481—21no—
371#475C22×C3112yescomplemented
372#474C22×C3112yescomplemented
373#461—21no—
374#461—21no—
375#461C22×C3112yes—
376#461C22×C3112yescomplemented
377#432C22×C3111yescharacteristic, complemented
378C2×C4⋊C8C22×C3111yescharacteristic, complemented
379#417—22no—
380C2×#103—21no—
381C4×M16C22×C3111yescharacteristic, complemented
382#333C22×C3112yescomplemented
383#331C22×C3112yescomplemented
384Q8⋊C8C22×C3112yescomplemented
385D4⋊C8C22×C3112yes—
386D4⋊C8C22×C3112yescomplemented
387D4⋊C8C22×C3112yescomplemented
388C2×C31—22no—
389C2×C31—42no—
390C2×C31—81no—
391C2×C31—82no—
392C2×C31—81no—
393C2×C31#300611yescharacteristic
394C2×C31#300911yescharacteristic
395C2×C31C2×#45511yescharacteristic
396C2×#41—21no—
397C2×#41D4×C3112yes—
398C22×Q8—21no—
399C22×D4—22no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4D4×C3111yescharacteristic
403C23×C4—21no—
404C2×SD16—22no—
405C2×SD16—22no—
406C2×SD16—44no—
407C2×M16—21no—
408C22×C8—21no—
409C4⋊Q8—21no—
410C4⋊Q8—21no—
411C4⋊Q8—21no—
412C4⋊Q8C23×C3112yes—
413C4⋊Q8C23×C3111yescharacteristic
414#127—21no—
415#127C23×C3111yescharacteristic
416#126—22no—
417#126—21no—
418#125—21no—
419#125D4×C3111yescharacteristic
420#124—22no—
421#124D4×C3111yescharacteristic
422#124D4×C3112yes—
423#123—22no—
424#123—22no—
425#123—22no—
426#123—21no—
427C22⋊Q8—21no—
428C22⋊Q8—22no—
429C22⋊Q8D4×C3111yescharacteristic
430#121—22no—
431#121—22no—
432#121—22no—
433#121—22no—
434#121—21no—
435#121—22no—
436#121—21no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121D4×C3111yescharacteristic
443#120—22no—
444#120—22no—
445#120—22no—
446C4×Q8C23×C3111yescharacteristic
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—22no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—21no—
457C4×D4D4×C3111yescharacteristic
458C4×D4D4×C3111yescharacteristic
459C4×D4C23×C3111yescharacteristic
460C4×D4C23×C3111yescharacteristic
461C4×D4C23×C3111yescharacteristic
462#117—21no—
463#117—21no—
464#117—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4D4×C3111yescharacteristic
469C2×C22⋊C4—22no—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—21no—
472C2×C42C23×C3111yescharacteristic
473#107—22no—
474#106—22no—
475C4⋊C8—21no—
476C4⋊C8C23×C3112yes—
477C4⋊C8C23×C3112yes—
478#103—24no—
479#103—22no—
480#103—22no—
481#103—22no—
482#102—24no—
483#102—22no—
484C22⋊C8—21no—
485#97—21no—
486#97—21no—
487C4×C8C23×C3112yes—
488C31#1857011yescharacteristic, direct product factor, Sylow
489C24—22no—
490C24—21no—
491#41—44no—
492#41—82no—
493C2×Q8—22no—
494C2×Q8—42no—
495C2×Q8—42no—
496C2×Q8—41no—
497C2×Q8C2×D4×C3111yescharacteristic
498C2×Q8C2×D4×C3112yes—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—41no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—82no—
514C2×D4—84no—
515C2×D4C2×D4×C3111yescharacteristic
516C2×D4C2×D4×C3111yescharacteristic
517C2×D4C2×D4×C3111yescharacteristic
518C2×D4C2×D4×C3112yes—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—41no—
529C22×C4—82no—
530C22×C4C2×D4×C3111yescharacteristic
531C22×C4C2×D4×C3111yescharacteristic
532C22×C4C2×D4×C3111yescharacteristic
533SD16—44no—
534SD16—44no—
535M16—42no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—42no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4C2×D4×C3111yescharacteristic
554C4⋊C4C2×D4×C3111yescharacteristic
555C4⋊C4C2×D4×C3111yescharacteristic
556C4⋊C4C2×D4×C3111yescharacteristic
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C42—22no—
574C42—21no—
575C42C2×D4×C3111yescharacteristic
576C42C2×D4×C3111yescharacteristic
577C42C2×D4×C3111yescharacteristic
578C42C24×C3111yescharacteristic
579C23—21no—
580C23—21no—
581C23—21no—
582C23—22no—
583C23—42no—
584C23—44no—
585C23—42no—
586C23—81no—
587C23—82no—
588C23—82no—
589C23C31×#12011yescharacteristic
590Q8—22no—
591Q8—42no—
592Q8—42no—
593Q8—42no—
594Q8—82no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—22no—
599D4—42no—
600D4—42no—
601D4—44no—
602D4—42no—
603D4—44no—
604D4—41no—
605D4—41no—
606D4—42no—
607D4—82no—
608D4—82no—
609D4—82no—
610D4—82no—
611D4C31×AGL(1,ℤ/8)12yes—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—82no—
630C2×C4—81no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4C31×#12011yescharacteristic
635C2×C4C31×#12011yescharacteristic
636C2×C4C31×#12011yescharacteristic
637C2×C4C22×D4×C3111yescharacteristic
638C2×C4C22×D4×C3111yescharacteristic
639C2×C4C22×D4×C3111yescharacteristic
640C8—42no—
641C8—42no—
642C8—42no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—42no—
653C22—41no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—84no—
658C22—164no—
659C22C31×#45512yes—
660C22C2×C31×#12011yescharacteristic
661C4—21no—
662C4—21no—
663C4—21no—
664C4—21no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—42no—
671C4—82no—
672C4C2×C31×AGL(1,ℤ/8)11yescharacteristic
673C4C31×#57511yescharacteristic
674C4C31×#57712yes—
675C2—22no—
676C2—42no—
677C2—81no—
678C2—81no—
679C2—82no—
680C2C31×#300611yescharacteristic
681C2C31×#300911yescharacteristic
682C2C2×C31×#45511yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC42C24×C31
prime radicalC31×#3519C2
LCSG ▷ C42 ▷ 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×#3239C2semidirect
3. C31×#3141C2semidirect
4. C2×C31×#461C2semidirect
5. C31×#1646C2semidirect
6. C31×#1643C2semidirect
7. C31×#1642C2semidirect
8. C31×#1639C2semidirect
9. C31×#1551C2semidirect
10. C31×#1490C2semidirect
11. C31×#1483C2semidirect
25. C2×C31×C4⋊Q8C22semidirect
34. C31×#487C22semidirect
35. C31×#486C22semidirect
38. C31×#475C22semidirect
39. C31×#474C22semidirect
43. C31×#461C22semidirect
44. C31×#432C22semidirect
45. C2×C31×C4⋊C8C22semidirect
48. C4×M16×C31C22semidirect
49. C31×#333C22semidirect
50. C31×#331C22semidirect
51. C31×Q8⋊C8C22semidirect
53. C31×D4⋊C8C22semidirect
54. C31×D4⋊C8C22semidirect
237. #18570C31direct (N × H)
303. #3239C2×C31semidirect
304. #3141C2×C31semidirect
305. C2×#461C2×C31semidirect
306. #1646C2×C31semidirect
307. #1643C2×C31semidirect
308. #1642C2×C31semidirect
309. #1639C2×C31semidirect
310. #1551C2×C31semidirect
311. #1490C2×C31semidirect
312. #1483C2×C31semidirect
358. C2×C4⋊Q8C22×C31semidirect
367. #487C22×C31semidirect
368. #486C22×C31semidirect
371. #475C22×C31semidirect
372. #474C22×C31semidirect
376. #461C22×C31semidirect
377. #432C22×C31semidirect
378. C2×C4⋊C8C22×C31semidirect
381. C4×M16C22×C31semidirect
382. #333C22×C31semidirect
383. #331C22×C31semidirect
384. Q8⋊C8C22×C31semidirect
386. D4⋊C8C22×C31semidirect
387. D4⋊C8C22×C31semidirect
488. C31#18570direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35192
C31×#32392
C31×#31412
C2×C31×#4612
C31×#16462
C31×#16432
C31×#16422
C31×#16392
C31×#15512
C31×#14902
C31×#14832
#1857031