Finite Group Databasebeta

← C31×#24414 #21481173

Subgroups — C31×#24414 #21481173

Order 7936.

1460 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×#3485C211yesmaximal, characteristic, complemented
2C31×#3055C212yesmaximal, complemented
3C2×C31×#453C211yesmaximal, characteristic, complemented
4C2×C31×#413C211yesmaximal, characteristic, complemented
5C31×#2431C211yesmaximal, characteristic, complemented
6C31×#2038C212yesmaximal, complemented
7C31×#2003C212yesmaximal, complemented
8C31×#1887C211yesmaximal, characteristic, complemented
9C31×#1871C212yesmaximal, complemented
10C31×#1856C211yesmaximal, characteristic, complemented
11C31×#1792C211yesmaximal, characteristic, complemented
12C2×C31×H(5,𝔽2)C2211yescharacteristic
13C22×#41×C31C2211yescharacteristic
14C2×C31×AGL(1,ℤ/8)C2212yes—
15C22×M16×C31C2212yescomplemented
16C31×#547—22no—
17C31×#547—22no—
18C31×#546—22no—
19C31×#546—22no—
20C31×#536C2212yes—
21C31×#534—22no—
22C2×C31×#127C2211yescharacteristic
23C2×C31×#124C2211yescharacteristic, complemented
24C31×#525C2212yes—
25C2×C31×#123—22no—
26C2×C31×#121C2211yescharacteristic, complemented
27C31×#518C2211yescharacteristic
28C31×#469—22no—
29C31×#468—22no—
30C31×#466—22no—
31C31×#465—22no—
32C31×#453—24no—
33C31×#428C2212yescomplemented
34C2×C31×#104C2212yes—
35C2×C31×#104C2212yes—
36C31×#418C2212yescomplemented
37C31×#417C2212yes—
38C31×#413—24no—
39C2×C31×#101C2212yescomplemented
40C2×C31×#100C2211yescharacteristic
41C2×C31×#100C2211yescharacteristic
42C31×#392—22no—
43C31×#391C2211yescharacteristic, complemented
44C31×#390C2211yescharacteristic
45C31×#386—22no—
46C4×C22⋊C4×C31C2211yescharacteristic, complemented
47C31×#339C2212yescomplemented
48C31×#339C2212yescomplemented
49C31×H(5,𝔽2)—22no—
50C31×H(5,𝔽2)—22no—
51C31×H(5,𝔽2)—42no—
52C2×#41×C31—22no—
53C2×#41×C31—22no—
54C2×#41×C31—22no—
55C2×#41×C31—22no—
56C2×#41×C31—22no—
57C2×#41×C31—42no—
58C2×#41×C31C2312yes—
59C22×Q8×C31C2311yescharacteristic
60C22×D4×C31—22no—
61C22×D4×C31—22no—
62C22×D4×C31—22no—
63C22×D4×C31—21no—
64C22×D4×C31D412yes—
65C22×D4×C31C2311yescharacteristic
66C22×D4×C31C2311yescharacteristic
67C23×C4×C31D412yes—
68C23×C4×C31C2311yescharacteristic
69C31×AGL(1,ℤ/8)—24no—
70C31×AGL(1,ℤ/8)—42no—
71C2×SD16×C31—22no—
72C2×D8×C31—22no—
73C2×M16×C31—22no—
74C2×M16×C31—24no—
75C2×M16×C31—42no—
76C2×M16×C31C2312yes—
77C2×M16×C31C2312yes—
78C22×C8×C31—22no—
79C31×C4⋊Q8—22no—
80C31×#127—22no—
81C31×#127—22no—
82C31×#124—22no—
83C31×#124—42no—
84C31×#123—24no—
85C31×#123—24no—
86C31×#123—24no—
87C31×#123—22no—
88C31×#123—24no—
89C31×C22⋊Q8—22no—
90C31×C22⋊Q8—22no—
91C31×C22⋊Q8D412yescomplemented
92C31×C22⋊Q8D412yescomplemented
93C31×#121—24no—
94C31×#121—24no—
95C31×#121—22no—
96C31×#121—22no—
97C31×#121D412yescomplemented
98C31×#121D412yescomplemented
99C31×#120—24no—
100C31×#120—22no—
101C4×D4×C31—22no—
102C4×D4×C31—22no—
103C4×D4×C31—22no—
104C4×D4×C31—22no—
105C31×#117C2312yes—
106C2×C4⋊C4×C31—22no—
107C2×C4⋊C4×C31—22no—
108C2×C4⋊C4×C31C2311yescharacteristic
109C2×C22⋊C4×C31—22no—
110C2×C22⋊C4×C31—22no—
111C2×C22⋊C4×C31—22no—
112C2×C22⋊C4×C31—21no—
113C2×C22⋊C4×C31—21no—
114C2×C22⋊C4×C31—22no—
115C2×C22⋊C4×C31—22no—
116C2×C42×C31C2311yescharacteristic
117C2×C42×C31C2311yescharacteristic
118C31×#107—22no—
119C31×#106—22no—
120C31×#104—24no—
121C31×#104—42no—
122C31×#103—22no—
123C31×#102—22no—
124C31×#102—22no—
125C31×#102—22no—
126C31×#101—24no—
127C31×#100—22no—
128C31×#100D414yescomplemented
129C31×#95—21no—
130C31×#95—22no—
131C24×C31—22no—
132C24×C31—21no—
133C24×C31C2×D411yescharacteristic
134C24×C31C2×D412yes—
135#41×C31—22no—
136#41×C31—22no—
137#41×C31—22no—
138#41×C31—22no—
139#41×C31—44no—
140#41×C31—44no—
141#41×C31—44no—
142#41×C31—44no—
143#41×C31—44no—
144#41×C31—44no—
145C2×Q8×C31—21no—
146C2×Q8×C31—22no—
147C2×Q8×C31—21no—
148C2×Q8×C31—22no—
149C2×Q8×C31C2×D412yes—
150C2×D4×C31—24no—
151C2×D4×C31—24no—
152C2×D4×C31—24no—
153C2×D4×C31—22no—
154C2×D4×C31—22no—
155C2×D4×C31—22no—
156C2×D4×C31—22no—
157C2×D4×C31—22no—
158C2×D4×C31—21no—
159C2×D4×C31—21no—
160C2×D4×C31—22no—
161C2×D4×C31—22no—
162C2×D4×C31—42no—
163C2×D4×C31—44no—
164C2×D4×C31—44no—
165C2×D4×C31—44no—
166C2×D4×C31—44no—
167C2×D4×C31—44no—
168C2×D4×C31—42no—
169C2×D4×C31—44no—
170C2×D4×C31—82no—
171C2×D4×C31—82no—
172C2×D4×C31C2×D412yes—
173C2×D4×C31C2×D412yes—
174C2×D4×C31#4112yes—
175C22×C4×C31—21no—
176C22×C4×C31—21no—
177C22×C4×C31—22no—
178C22×C4×C31—22no—
179C22×C4×C31—24no—
180C22×C4×C31—21no—
181C22×C4×C31—22no—
182C22×C4×C31—22no—
183C22×C4×C31—22no—
184C22×C4×C31—22no—
185C22×C4×C31—22no—
186C22×C4×C31—21no—
187C22×C4×C31—21no—
188C22×C4×C31—42no—
189C22×C4×C31C2×D412yes—
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D412yes—
192C22×C4×C31C2×D412yes—
193C22×C4×C31C2411yescharacteristic
194SD16×C31—44no—
195D8×C31—44no—
196M16×C31—22no—
197M16×C31—22no—
198M16×C31—22no—
199M16×C31—44no—
200M16×C31C2×D414yes—
201C2×C8×C31—22no—
202C2×C8×C31—22no—
203C2×C8×C31—44no—
204C4⋊C4×C31—24no—
205C4⋊C4×C31—24no—
206C4⋊C4×C31—22no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31C2×D412yes—
210C4⋊C4×C31C2×D412yes—
211C22⋊C4×C31—24no—
212C22⋊C4×C31—24no—
213C22⋊C4×C31—24no—
214C22⋊C4×C31—22no—
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—42no—
220C22⋊C4×C31—44no—
221C22⋊C4×C31—41no—
222C22⋊C4×C31—41no—
223C22⋊C4×C31—82no—
224C42×C31—22no—
225C42×C31—21no—
226C42×C31—21no—
227C42×C31—22no—
228#24414C3111yesmaximal, characteristic, direct product factor, Sylow
229C23×C31—22no—
230C23×C31—21no—
231C23×C31—21no—
232C23×C31—22no—
233C23×C31—22no—
234C23×C31—41no—
235C23×C31—41no—
236C23×C31—42no—
237C23×C31—42no—
238C23×C31—44no—
239C23×C31—42no—
240C23×C31—42no—
241C23×C31—41no—
242C23×C31—41no—
243C23×C31—41no—
244C23×C31—82no—
245C23×C31—82no—
246C23×C31#12012yes—
247C23×C31#12114yes—
248C23×C31C22×D411yescharacteristic
249Q8×C31—22no—
250Q8×C31—22no—
251Q8×C31—42no—
252Q8×C31—42no—
253D4×C31—24no—
254D4×C31—22no—
255D4×C31—24no—
256D4×C31—22no—
257D4×C31—48no—
258D4×C31—48no—
259D4×C31—42no—
260D4×C31—42no—
261D4×C31—42no—
262D4×C31—42no—
263D4×C31—82no—
264D4×C31—82no—
265D4×C31—88no—
266D4×C31—84no—
267C2×C4×C31—21no—
268C2×C4×C31—21no—
269C2×C4×C31—22no—
270C2×C4×C31—22no—
271C2×C4×C31—22no—
272C2×C4×C31—22no—
273C2×C4×C31—22no—
274C2×C4×C31—22no—
275C2×C4×C31—22no—
276C2×C4×C31—22no—
277C2×C4×C31—22no—
278C2×C4×C31—22no—
279C2×C4×C31—22no—
280C2×C4×C31—44no—
281C2×C4×C31—44no—
282C2×C4×C31—44no—
283C2×C4×C31—41no—
284C2×C4×C31—41no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31—41no—
288C2×C4×C31—41no—
289C2×C4×C31—42no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
292C2×C4×C31—82no—
293C2×C4×C31—82no—
294C2×C4×C31#12011yescharacteristic
295C2×C4×C31#12011yescharacteristic
296C2×C4×C31C22×D411yescharacteristic
297C2×C4×C31C22×D412yes—
298C2×C4×C31C2×#4111yescharacteristic
299C2×C4×C31H(5,𝔽2)12yes—
300C8×C31—24no—
301C8×C31—42no—
302#3485C2×C3111yescharacteristic, complemented
303#3055C2×C3112yescomplemented
304C2×#453C2×C3111yescharacteristic, complemented
305C2×#413C2×C3111yescharacteristic, complemented
306#2431C2×C3111yescharacteristic, complemented
307#2038C2×C3112yescomplemented
308#2003C2×C3112yescomplemented
309#1887C2×C3111yescharacteristic, complemented
310#1871C2×C3112yescomplemented
311#1856C2×C3111yescharacteristic, complemented
312#1792C2×C3111yescharacteristic, complemented
313C22×C31—21no—
314C22×C31—21no—
315C22×C31—22no—
316C22×C31—24no—
317C22×C31—22no—
318C22×C31—22no—
319C22×C31—44no—
320C22×C31—42no—
321C22×C31—42no—
322C22×C31—42no—
323C22×C31—42no—
324C22×C31—42no—
325C22×C31—81no—
326C22×C31—81no—
327C22×C31—82no—
328C22×C31—82no—
329C22×C31—82no—
330C22×C31—81no—
331C22×C31—81no—
332C22×C31—81no—
333C22×C31—164no—
334C22×C31C2×#12011yescharacteristic
335C22×C31C2×#12111yescharacteristic
336C22×C31#53411yescharacteristic
337C4×C31—21no—
338C4×C31—21no—
339C4×C31—42no—
340C4×C31—42no—
341C4×C31—42no—
342C4×C31—42no—
343C4×C31—42no—
344C4×C31—81no—
345C4×C31—81no—
346C4×C31D4212yes—
347C4×C31#54612yes—
348C2×H(5,𝔽2)C22×C3111yescharacteristic
349C22×#41C22×C3111yescharacteristic
350C2×AGL(1,ℤ/8)C22×C3112yes—
351C22×M16C22×C3112yescomplemented
352#547—22no—
353#547—22no—
354#546—22no—
355#546—22no—
356#536C22×C3112yes—
357#534—22no—
358C2×#127C22×C3111yescharacteristic
359C2×#124C22×C3111yescharacteristic, complemented
360#525C22×C3112yes—
361C2×#123—22no—
362C2×#121C22×C3111yescharacteristic, complemented
363#518C22×C3111yescharacteristic
364#469—22no—
365#468—22no—
366#466—22no—
367#465—22no—
368#453—24no—
369#428C22×C3112yescomplemented
370C2×#104C22×C3112yes—
371C2×#104C22×C3112yes—
372#418C22×C3112yescomplemented
373#417C22×C3112yes—
374#413—24no—
375C2×#101C22×C3112yescomplemented
376C2×#100C22×C3111yescharacteristic
377C2×#100C22×C3111yescharacteristic
378#392—22no—
379#391C22×C3111yescharacteristic, complemented
380#390C22×C3111yescharacteristic
381#386—22no—
382C4×C22⋊C4C22×C3111yescharacteristic, complemented
383#339C22×C3112yescomplemented
384#339C22×C3112yescomplemented
385C2×C31—21no—
386C2×C31—21no—
387C2×C31—42no—
388C2×C31—44no—
389C2×C31—82no—
390C2×C31—161no—
391C2×C31#241011yescharacteristic
392C2×C31#301811yescharacteristic
393C2×C31#302111yescharacteristic
394H(5,𝔽2)—22no—
395H(5,𝔽2)—22no—
396H(5,𝔽2)—42no—
397C2×#41—22no—
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—42no—
403C2×#41C23×C3112yes—
404C22×Q8C23×C3111yescharacteristic
405C22×D4—22no—
406C22×D4—22no—
407C22×D4—22no—
408C22×D4—21no—
409C22×D4D4×C3112yes—
410C22×D4C23×C3111yescharacteristic
411C22×D4C23×C3111yescharacteristic
412C23×C4D4×C3112yes—
413C23×C4C23×C3111yescharacteristic
414AGL(1,ℤ/8)—24no—
415AGL(1,ℤ/8)—42no—
416C2×SD16—22no—
417C2×D8—22no—
418C2×M16—22no—
419C2×M16—24no—
420C2×M16—42no—
421C2×M16C23×C3112yes—
422C2×M16C23×C3112yes—
423C22×C8—22no—
424C4⋊Q8—22no—
425#127—22no—
426#127—22no—
427#124—22no—
428#124—42no—
429#123—24no—
430#123—24no—
431#123—24no—
432#123—22no—
433#123—24no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8D4×C3112yescomplemented
437C22⋊Q8D4×C3112yescomplemented
438#121—24no—
439#121—24no—
440#121—22no—
441#121—22no—
442#121D4×C3112yescomplemented
443#121D4×C3112yescomplemented
444#120—24no—
445#120—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—22no—
449C4×D4—22no—
450#117C23×C3112yes—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4C23×C3111yescharacteristic
454C2×C22⋊C4—22no—
455C2×C22⋊C4—22no—
456C2×C22⋊C4—22no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—22no—
461C2×C42C23×C3111yescharacteristic
462C2×C42C23×C3111yescharacteristic
463#107—22no—
464#106—22no—
465#104—24no—
466#104—42no—
467#103—22no—
468#102—22no—
469#102—22no—
470#102—22no—
471#101—24no—
472#100—22no—
473#100D4×C3114yescomplemented
474#95—21no—
475#95—22no—
476C31#2441411yescharacteristic, direct product factor, Sylow
477C24—22no—
478C24—21no—
479C24C2×D4×C3111yescharacteristic
480C24C2×D4×C3112yes—
481#41—22no—
482#41—22no—
483#41—22no—
484#41—22no—
485#41—44no—
486#41—44no—
487#41—44no—
488#41—44no—
489#41—44no—
490#41—44no—
491C2×Q8—21no—
492C2×Q8—22no—
493C2×Q8—21no—
494C2×Q8—22no—
495C2×Q8C2×D4×C3112yes—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—42no—
509C2×D4—44no—
510C2×D4—44no—
511C2×D4—44no—
512C2×D4—44no—
513C2×D4—44no—
514C2×D4—42no—
515C2×D4—44no—
516C2×D4—82no—
517C2×D4—82no—
518C2×D4C2×D4×C3112yes—
519C2×D4C2×D4×C3112yes—
520C2×D4#41×C3112yes—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—42no—
535C22×C4C2×D4×C3112yes—
536C22×C4C2×D4×C3111yescharacteristic
537C22×C4C2×D4×C3112yes—
538C22×C4C2×D4×C3112yes—
539C22×C4C24×C3111yescharacteristic
540SD16—44no—
541D8—44no—
542M16—22no—
543M16—22no—
544M16—22no—
545M16—44no—
546M16C2×D4×C3114yes—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—44no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4C2×D4×C3112yes—
556C4⋊C4C2×D4×C3112yes—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—42no—
566C22⋊C4—44no—
567C22⋊C4—41no—
568C22⋊C4—41no—
569C22⋊C4—82no—
570C42—22no—
571C42—21no—
572C42—21no—
573C42—22no—
574C23—22no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—44no—
584C23—42no—
585C23—42no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—82no—
590C23—82no—
591C23C31×#12012yes—
592C23C31×#12114yes—
593C23C22×D4×C3111yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—42no—
597Q8—42no—
598D4—24no—
599D4—22no—
600D4—24no—
601D4—22no—
602D4—48no—
603D4—48no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—42no—
608D4—82no—
609D4—82no—
610D4—88no—
611D4—84no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4C31×#12011yescharacteristic
640C2×C4C31×#12011yescharacteristic
641C2×C4C22×D4×C3111yescharacteristic
642C2×C4C22×D4×C3112yes—
643C2×C4C2×#41×C3111yescharacteristic
644C2×C4C31×H(5,𝔽2)12yes—
645C8—24no—
646C8—42no—
647C22—21no—
648C22—21no—
649C22—22no—
650C22—24no—
651C22—22no—
652C22—22no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—81no—
660C22—81no—
661C22—82no—
662C22—82no—
663C22—82no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—164no—
668C22C2×C31×#12011yescharacteristic
669C22C2×C31×#12111yescharacteristic
670C22C31×#53411yescharacteristic
671C4—21no—
672C4—21no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—81no—
679C4—81no—
680C4D42×C3112yes—
681C4C31×#54612yes—
682C2—21no—
683C2—21no—
684C2—42no—
685C2—44no—
686C2—82no—
687C2—161no—
688C2C31×#241011yescharacteristic
689C2C31×#301811yescharacteristic
690C2C31×#302111yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3485C2semidirect
2. C31×#3055C2semidirect
3. C2×C31×#453C2semidirect
4. C2×C31×#413C2semidirect
5. C31×#2431C2semidirect
6. C31×#2038C2semidirect
7. C31×#2003C2semidirect
8. C31×#1887C2semidirect
9. C31×#1871C2semidirect
10. C31×#1856C2semidirect
11. C31×#1792C2semidirect
15. C22×M16×C31C22semidirect
23. C2×C31×#124C22semidirect
26. C2×C31×#121C22semidirect
33. C31×#428C22semidirect
36. C31×#418C22semidirect
39. C2×C31×#101C22semidirect
43. C31×#391C22semidirect
46. C4×C22⋊C4×C31C22semidirect
47. C31×#339C22semidirect
48. C31×#339C22semidirect
91. C31×C22⋊Q8D4semidirect
92. C31×C22⋊Q8D4semidirect
97. C31×#121D4semidirect
98. C31×#121D4semidirect
128. C31×#100D4semidirect
228. #24414C31direct (N × H)
302. #3485C2×C31semidirect
303. #3055C2×C31semidirect
304. C2×#453C2×C31semidirect
305. C2×#413C2×C31semidirect
306. #2431C2×C31semidirect
307. #2038C2×C31semidirect
308. #2003C2×C31semidirect
309. #1887C2×C31semidirect
310. #1871C2×C31semidirect
311. #1856C2×C31semidirect
312. #1792C2×C31semidirect
351. C22×M16C22×C31semidirect
359. C2×#124C22×C31semidirect
362. C2×#121C22×C31semidirect
369. #428C22×C31semidirect
372. #418C22×C31semidirect
375. C2×#101C22×C31semidirect
379. #391C22×C31semidirect
382. C4×C22⋊C4C22×C31semidirect
383. #339C22×C31semidirect
384. #339C22×C31semidirect
436. C22⋊Q8D4×C31semidirect
437. C22⋊Q8D4×C31semidirect
442. #121D4×C31semidirect
443. #121D4×C31semidirect
473. #100D4×C31semidirect
476. C31#24414direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34852
C31×#30552
C2×C31×#4532
C2×C31×#4132
C31×#24312
C31×#20382
C31×#20032
C31×#18872
C31×#18712
C31×#18562
C31×#17922
#2441431