Finite Group Databasebeta

← C31×#23994 #21480753

Subgroups — C31×#23994 #21480753

Order 7936.

1250 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3444C211yesmaximal, characteristic, complemented
2C31×#3025C211yesmaximal, characteristic, complemented
3C31×#3018C211yesmaximal, characteristic, complemented
4C31×#2901C211yesmaximal, characteristic, complemented
5C31×#2031C212yesmaximal, complemented
6C31×#2010C212yesmaximal, complemented
7C31×#1906C212yesmaximal, complemented
8C31×#1896C212yesmaximal, complemented
9C31×#1891C211yesmaximal, characteristic, complemented
10C31×#1884C211yesmaximal, characteristic, complemented
11C31×#1827C211yesmaximal, characteristic, complemented
12C31×#585C2211yescharacteristic
13C31×#575C2212yes—
14C31×#568C2211yescharacteristic
15C31×#533—21no—
16C31×#533C2211yescharacteristic, complemented
17C31×#532—21no—
18C31×#532C2211yescharacteristic
19C31×#529—21no—
20C31×#529—21no—
21C31×#529—22no—
22C31×#529—22no—
23C31×#525—22no—
24C31×#525C2211yescharacteristic
25C31×#525C2212yes—
26C31×#525C2211yescharacteristic, complemented
27C4×#41×C31—22no—
28C4×#41×C31C2211yescharacteristic
29C4×#41×C31C2211yescharacteristic, complemented
30C22×C42×C31C2211yescharacteristic, complemented
31C31×#458—22no—
32C31×B(4,𝔽2)—22no—
33C31×#456—21no—
34C31×#455—21no—
35C31×#454—21no—
36C31×#453—21no—
37C31×#421—22no—
38C31×#421C2212yes—
39C31×#421C2212yescomplemented
40C2×C31×#104—22no—
41C2×C31×#104C2212yes—
42C2×C31×#104C2212yes—
43C31×#413C2211yescharacteristic
44C31×#410C2211yescharacteristic
45C31×#410C2212yes—
46C31×#407C2212yescomplemented
47C31×#344C2212yescomplemented
48C31×#339C2212yescomplemented
49C31×#339C2212yescomplemented
50C31×H(3,ℤ/4)C2212yescomplemented
51C31×2−1+4—22no—
52C31×2−1+4—21no—
53C31×H(5,𝔽2)—22no—
54C31×H(5,𝔽2)—22no—
55C31×H(5,𝔽2)—21no—
56C2×#41×C31—22no—
57C2×#41×C31—22no—
58C2×#41×C31—42no—
59C2×#41×C31C2311yescharacteristic
60C2×#41×C31C2312yes—
61C2×#41×C31C2311yescharacteristic
62C23×C4×C31—21no—
63C23×C4×C31C2311yescharacteristic
64C31×#137—22no—
65C31×#137—22no—
66C31×AGL(1,ℤ/8)—22no—
67C31×AGL(1,ℤ/8)—22no—
68C31×#135—42no—
69C31×#131—42no—
70C2×M16×C31—22no—
71C2×M16×C31C2312yes—
72C2×M16×C31C2312yes—
73C31×C4⋊Q8—21no—
74C31×C4⋊Q8D411yescharacteristic, complemented
75C31×#127D411yescharacteristic, complemented
76C31×#126—22no—
77C31×#126—22no—
78C31×#125—22no—
79C31×#125—21no—
80C31×#124—22no—
81C31×#124D411yescharacteristic, complemented
82C31×#124D411yescharacteristic, complemented
83C31×#123—22no—
84C31×#123—22no—
85C31×#123—21no—
86C31×#123—22no—
87C31×#123D412yes—
88C31×C22⋊Q8—22no—
89C31×C22⋊Q8—21no—
90C31×C22⋊Q8—21no—
91C31×C22⋊Q8—22no—
92C31×C22⋊Q8—22no—
93C31×#121—22no—
94C31×#121—22no—
95C31×#121—21no—
96C31×#121—21no—
97C31×#121—22no—
98C31×#120—21no—
99C31×#120—22no—
100C31×#120D412yes—
101C4×Q8×C31—22no—
102C4×Q8×C31—21no—
103C4×Q8×C31—21no—
104C4×Q8×C31—22no—
105C4×D4×C31—22no—
106C4×D4×C31—22no—
107C4×D4×C31—22no—
108C4×D4×C31—22no—
109C4×D4×C31—21no—
110C4×D4×C31—21no—
111C4×D4×C31—22no—
112C4×D4×C31—22no—
113C4×D4×C31—22no—
114C4×D4×C31—22no—
115C4×D4×C31—42no—
116C31×#117—22no—
117C31×#117—22no—
118C31×#117—22no—
119C31×#117—21no—
120C31×#117D412yescomplemented
121C31×#117C2312yes—
122C31×#117C2311yescharacteristic
123C31×#117C2311yescharacteristic
124C2×C42×C31—21no—
125C2×C42×C31—21no—
126C2×C42×C31—21no—
127C2×C42×C31—21no—
128C2×C42×C31—21no—
129C2×C42×C31—21no—
130C2×C42×C31D412yescomplemented
131C2×C42×C31C2311yescharacteristic
132C2×C42×C31C2311yescharacteristic
133C31×#104—22no—
134C31×#104—24no—
135C31×#104—22no—
136C31×#104—22no—
137C31×#104—22no—
138C31×#104—42no—
139C31×#101—21no—
140C31×#100—21no—
141C31×#99—22no—
142C31×#99—24no—
143C31×C22⋊C8—42no—
144C24×C31C2×D411yescharacteristic
145#41×C31—22no—
146#41×C31—22no—
147#41×C31—24no—
148#41×C31—22no—
149#41×C31—22no—
150#41×C31—22no—
151#41×C31—22no—
152#41×C31—22no—
153#41×C31—22no—
154#41×C31—44no—
155#41×C31—48no—
156#41×C31—42no—
157#41×C31—42no—
158#41×C31—42no—
159#41×C31—42no—
160C2×Q8×C31—22no—
161C2×Q8×C31—22no—
162C2×Q8×C31—42no—
163C2×Q8×C31C2×D411yescharacteristic
164C2×Q8×C31C2×D411yescharacteristic
165C2×Q8×C31#4112yescomplemented
166C2×D4×C31—22no—
167C2×D4×C31—22no—
168C2×D4×C31—22no—
169C2×D4×C31—22no—
170C2×D4×C31—22no—
171C2×D4×C31—21no—
172C2×D4×C31—42no—
173C2×D4×C31—44no—
174C2×D4×C31—42no—
175C2×D4×C31—42no—
176C2×D4×C31C2×D412yes—
177C2×D4×C31C2×D411yescharacteristic
178C2×D4×C31C2×D411yescharacteristic
179C2×D4×C31#4112yescomplemented
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—22no—
185C22×C4×C31—22no—
186C22×C4×C31—21no—
187C22×C4×C31—21no—
188C22×C4×C31—21no—
189C22×C4×C31—21no—
190C22×C4×C31—21no—
191C22×C4×C31—22no—
192C22×C4×C31—22no—
193C22×C4×C31—22no—
194C22×C4×C31—44no—
195C22×C4×C31—42no—
196C22×C4×C31C2×D411yescharacteristic
197C22×C4×C31C2×D412yes—
198C22×C4×C31C2411yescharacteristic
199Q16×C31—42no—
200SD16×C31—42no—
201SD16×C31—42no—
202D8×C31—42no—
203M16×C31—22no—
204M16×C31—22no—
205M16×C31—22no—
206M16×C31—22no—
207M16×C31—42no—
208C2×C8×C31—22no—
209C2×C8×C31—22no—
210C2×C8×C31—42no—
211C4⋊C4×C31—22no—
212C4⋊C4×C31—22no—
213C4⋊C4×C31—22no—
214C4⋊C4×C31—22no—
215C4⋊C4×C31—22no—
216C4⋊C4×C31—22no—
217C4⋊C4×C31—22no—
218C4⋊C4×C31—22no—
219C4⋊C4×C31—21no—
220C4⋊C4×C31—21no—
221C4⋊C4×C31—22no—
222C4⋊C4×C31—42no—
223C22⋊C4×C31—22no—
224C22⋊C4×C31—22no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—22no—
229C22⋊C4×C31—21no—
230C22⋊C4×C31—22no—
231C22⋊C4×C31—22no—
232C22⋊C4×C31—22no—
233C22⋊C4×C31—42no—
234C22⋊C4×C31—42no—
235C22⋊C4×C31C2×D412yes—
236C42×C31—21no—
237C42×C31—21no—
238C42×C31—21no—
239C42×C31—21no—
240C42×C31—22no—
241C42×C31—22no—
242C42×C31—21no—
243C42×C31—21no—
244C42×C31—21no—
245C42×C31—22no—
246C42×C31C2×D411yescharacteristic
247C42×C31C2×D411yescharacteristic
248C42×C31C2×D411yescharacteristic
249C42×C31C2×D411yescharacteristic
250C42×C31C2×D412yes—
251#23994C3111yesmaximal, characteristic, direct product factor, Sylow
252C23×C31—21no—
253C23×C31—22no—
254C23×C31—21no—
255C23×C31—22no—
256C23×C31—42no—
257C23×C31—42no—
258C23×C31#12012yes—
259C23×C31C22×D411yescharacteristic
260Q8×C31—22no—
261Q8×C31—22no—
262Q8×C31—22no—
263Q8×C31—22no—
264Q8×C31—42no—
265Q8×C31—44no—
266D4×C31—24no—
267D4×C31—22no—
268D4×C31—22no—
269D4×C31—22no—
270D4×C31—22no—
271D4×C31—42no—
272D4×C31—44no—
273D4×C31—44no—
274D4×C31—44no—
275D4×C31—44no—
276D4×C31—42no—
277D4×C31—42no—
278D4×C31—42no—
279D4×C31—84no—
280C2×C4×C31—24no—
281C2×C4×C31—21no—
282C2×C4×C31—21no—
283C2×C4×C31—22no—
284C2×C4×C31—22no—
285C2×C4×C31—21no—
286C2×C4×C31—21no—
287C2×C4×C31—21no—
288C2×C4×C31—21no—
289C2×C4×C31—22no—
290C2×C4×C31—22no—
291C2×C4×C31—22no—
292C2×C4×C31—22no—
293C2×C4×C31—42no—
294C2×C4×C31—42no—
295C2×C4×C31—42no—
296C2×C4×C31—42no—
297C2×C4×C31—44no—
298C2×C4×C31—44no—
299C2×C4×C31—44no—
300C2×C4×C31—42no—
301C2×C4×C31—42no—
302C2×C4×C31—41no—
303C2×C4×C31—41no—
304C2×C4×C31—41no—
305C2×C4×C31—42no—
306C2×C4×C31—41no—
307C2×C4×C31—42no—
308C2×C4×C31—42no—
309C2×C4×C31—42no—
310C2×C4×C31#12012yes—
311C2×C4×C31C22×D411yescharacteristic
312C2×C4×C31C22×D411yescharacteristic
313C2×C4×C31C2×#4112yes—
314C2×C4×C31H(5,𝔽2)12yes—
315C8×C31—42no—
316C8×C31—42no—
317#3444C2×C3111yescharacteristic, complemented
318#3025C2×C3111yescharacteristic, complemented
319#3018C2×C3111yescharacteristic, complemented
320#2901C2×C3111yescharacteristic, complemented
321#2031C2×C3112yescomplemented
322#2010C2×C3112yescomplemented
323#1906C2×C3112yescomplemented
324#1896C2×C3112yescomplemented
325#1891C2×C3111yescharacteristic, complemented
326#1884C2×C3111yescharacteristic, complemented
327#1827C2×C3111yescharacteristic, complemented
328C22×C31—22no—
329C22×C31—24no—
330C22×C31—22no—
331C22×C31—41no—
332C22×C31—42no—
333C22×C31—41no—
334C22×C31—42no—
335C22×C31—42no—
336C22×C31—41no—
337C22×C31—42no—
338C22×C31—41no—
339C22×C31—82no—
340C22×C31—162no—
341C22×C31C2×#12011yescharacteristic
342C22×C31#54612yes—
343C4×C31—22no—
344C4×C31—22no—
345C4×C31—22no—
346C4×C31—41no—
347C4×C31—41no—
348C4×C31—42no—
349C4×C31—42no—
350C4×C31—41no—
351C4×C31—42no—
352C4×C31—41no—
353C4×C31—82no—
354C4×C31#52511yescharacteristic
355C4×C31#53511yescharacteristic
356C4×C31#54612yes—
357#585C22×C3111yescharacteristic
358#575C22×C3112yes—
359#568C22×C3111yescharacteristic
360#533—21no—
361#533C22×C3111yescharacteristic, complemented
362#532—21no—
363#532C22×C3111yescharacteristic
364#529—21no—
365#529—21no—
366#529—22no—
367#529—22no—
368#525—22no—
369#525C22×C3111yescharacteristic
370#525C22×C3112yes—
371#525C22×C3111yescharacteristic, complemented
372C4×#41—22no—
373C4×#41C22×C3111yescharacteristic
374C4×#41C22×C3111yescharacteristic, complemented
375C22×C42C22×C3111yescharacteristic, complemented
376#458—22no—
377B(4,𝔽2)—22no—
378#456—21no—
379#455—21no—
380#454—21no—
381#453—21no—
382#421—22no—
383#421C22×C3112yes—
384#421C22×C3112yescomplemented
385C2×#104—22no—
386C2×#104C22×C3112yes—
387C2×#104C22×C3112yes—
388#413C22×C3111yescharacteristic
389#410C22×C3111yescharacteristic
390#410C22×C3112yes—
391#407C22×C3112yescomplemented
392#344C22×C3112yescomplemented
393#339C22×C3112yescomplemented
394#339C22×C3112yescomplemented
395H(3,ℤ/4)C22×C3112yescomplemented
396C2×C31—21no—
397C2×C31—22no—
398C2×C31—42no—
399C2×C31—42no—
400C2×C31—81no—
401C2×C31—82no—
402C2×C31#240411yescharacteristic
4032−1+4—22no—
4042−1+4—21no—
405H(5,𝔽2)—22no—
406H(5,𝔽2)—22no—
407H(5,𝔽2)—21no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—42no—
411C2×#41C23×C3111yescharacteristic
412C2×#41C23×C3112yes—
413C2×#41C23×C3111yescharacteristic
414C23×C4—21no—
415C23×C4C23×C3111yescharacteristic
416#137—22no—
417#137—22no—
418AGL(1,ℤ/8)—22no—
419AGL(1,ℤ/8)—22no—
420#135—42no—
421#131—42no—
422C2×M16—22no—
423C2×M16C23×C3112yes—
424C2×M16C23×C3112yes—
425C4⋊Q8—21no—
426C4⋊Q8D4×C3111yescharacteristic, complemented
427#127D4×C3111yescharacteristic, complemented
428#126—22no—
429#126—22no—
430#125—22no—
431#125—21no—
432#124—22no—
433#124D4×C3111yescharacteristic, complemented
434#124D4×C3111yescharacteristic, complemented
435#123—22no—
436#123—22no—
437#123—21no—
438#123—22no—
439#123D4×C3112yes—
440C22⋊Q8—22no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445#121—22no—
446#121—22no—
447#121—21no—
448#121—21no—
449#121—22no—
450#120—21no—
451#120—22no—
452#120D4×C3112yes—
453C4×Q8—22no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8—22no—
457C4×D4—22no—
458C4×D4—22no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—22no—
464C4×D4—22no—
465C4×D4—22no—
466C4×D4—22no—
467C4×D4—42no—
468#117—22no—
469#117—22no—
470#117—22no—
471#117—21no—
472#117D4×C3112yescomplemented
473#117C23×C3112yes—
474#117C23×C3111yescharacteristic
475#117C23×C3111yescharacteristic
476C2×C42—21no—
477C2×C42—21no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—21no—
481C2×C42—21no—
482C2×C42D4×C3112yescomplemented
483C2×C42C23×C3111yescharacteristic
484C2×C42C23×C3111yescharacteristic
485#104—22no—
486#104—24no—
487#104—22no—
488#104—22no—
489#104—22no—
490#104—42no—
491#101—21no—
492#100—21no—
493#99—22no—
494#99—24no—
495C22⋊C8—42no—
496C31#2399411yescharacteristic, direct product factor, Sylow
497C24C2×D4×C3111yescharacteristic
498#41—22no—
499#41—22no—
500#41—24no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—22no—
506#41—22no—
507#41—44no—
508#41—48no—
509#41—42no—
510#41—42no—
511#41—42no—
512#41—42no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—42no—
516C2×Q8C2×D4×C3111yescharacteristic
517C2×Q8C2×D4×C3111yescharacteristic
518C2×Q8#41×C3112yescomplemented
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—42no—
526C2×D4—44no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4C2×D4×C3112yes—
530C2×D4C2×D4×C3111yescharacteristic
531C2×D4C2×D4×C3111yescharacteristic
532C2×D4#41×C3112yescomplemented
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—44no—
548C22×C4—42no—
549C22×C4C2×D4×C3111yescharacteristic
550C22×C4C2×D4×C3112yes—
551C22×C4C24×C3111yescharacteristic
552Q16—42no—
553SD16—42no—
554SD16—42no—
555D8—42no—
556M16—22no—
557M16—22no—
558M16—22no—
559M16—22no—
560M16—42no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—42no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—22no—
575C4⋊C4—42no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4C2×D4×C3112yes—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—22no—
594C42—22no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—22no—
599C42C2×D4×C3111yescharacteristic
600C42C2×D4×C3111yescharacteristic
601C42C2×D4×C3111yescharacteristic
602C42C2×D4×C3111yescharacteristic
603C42C2×D4×C3112yes—
604C23—21no—
605C23—22no—
606C23—21no—
607C23—22no—
608C23—42no—
609C23—42no—
610C23C31×#12012yes—
611C23C22×D4×C3111yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—42no—
617Q8—44no—
618D4—24no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—22no—
623D4—42no—
624D4—44no—
625D4—44no—
626D4—44no—
627D4—44no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—84no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4C31×#12012yes—
663C2×C4C22×D4×C3111yescharacteristic
664C2×C4C22×D4×C3111yescharacteristic
665C2×C4C2×#41×C3112yes—
666C2×C4C31×H(5,𝔽2)12yes—
667C8—42no—
668C8—42no—
669C22—22no—
670C22—24no—
671C22—22no—
672C22—41no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—42no—
677C22—41no—
678C22—42no—
679C22—41no—
680C22—82no—
681C22—162no—
682C22C2×C31×#12011yescharacteristic
683C22C31×#54612yes—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—42no—
691C4—41no—
692C4—42no—
693C4—41no—
694C4—82no—
695C4C31×#52511yescharacteristic
696C4C31×#53511yescharacteristic
697C4C31×#54612yes—
698C2—21no—
699C2—22no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—82no—
704C2C31×#240411yescharacteristic
subgroupG/H
centerC4×C31#535
commutator, Frattini, cosocleC22×C4C24×C31
socleC2×C31#2404
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C4×C31 ◁ C22×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3444C2semidirect
2. C31×#3025C2semidirect
3. C31×#3018C2semidirect
4. C31×#2901C2semidirect
5. C31×#2031C2semidirect
6. C31×#2010C2semidirect
7. C31×#1906C2semidirect
8. C31×#1896C2semidirect
9. C31×#1891C2semidirect
10. C31×#1884C2semidirect
11. C31×#1827C2semidirect
16. C31×#533C22semidirect
26. C31×#525C22semidirect
29. C4×#41×C31C22semidirect
30. C22×C42×C31C22semidirect
39. C31×#421C22semidirect
46. C31×#407C22semidirect
47. C31×#344C22semidirect
48. C31×#339C22semidirect
49. C31×#339C22semidirect
50. C31×H(3,ℤ/4)C22semidirect
74. C31×C4⋊Q8D4semidirect
75. C31×#127D4semidirect
81. C31×#124D4semidirect
82. C31×#124D4semidirect
120. C31×#117D4semidirect
130. C2×C42×C31D4semidirect
165. C2×Q8×C31#41semidirect
179. C2×D4×C31#41semidirect
251. #23994C31direct (N × H)
317. #3444C2×C31semidirect
318. #3025C2×C31semidirect
319. #3018C2×C31semidirect
320. #2901C2×C31semidirect
321. #2031C2×C31semidirect
322. #2010C2×C31semidirect
323. #1906C2×C31semidirect
324. #1896C2×C31semidirect
325. #1891C2×C31semidirect
326. #1884C2×C31semidirect
327. #1827C2×C31semidirect
361. #533C22×C31semidirect
371. #525C22×C31semidirect
374. C4×#41C22×C31semidirect
375. C22×C42C22×C31semidirect
384. #421C22×C31semidirect
391. #407C22×C31semidirect
392. #344C22×C31semidirect
393. #339C22×C31semidirect
394. #339C22×C31semidirect
395. H(3,ℤ/4)C22×C31semidirect
426. C4⋊Q8D4×C31semidirect
427. #127D4×C31semidirect
433. #124D4×C31semidirect
434. #124D4×C31semidirect
472. #117D4×C31semidirect
482. C2×C42D4×C31semidirect
496. C31#23994direct (N × H)
518. C2×Q8#41×C31semidirect
532. C2×D4#41×C31semidirect

Maximal subgroups

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

subgroupindex
C31×#34442
C31×#30252
C31×#30182
C31×#29012
C31×#20312
C31×#20102
C31×#19062
C31×#18962
C31×#18912
C31×#18842
C31×#18272
#2399431