Finite Group Databasebeta

← C31×#23995 #21480754

Subgroups — C31×#23995 #21480754

Order 7936.

1164 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3455C211yesmaximal, characteristic, complemented
2C31×#3025C211yesmaximal, characteristic, complemented
3C31×#3018C211yesmaximal, characteristic, complemented
4C31×#2901C211yesmaximal, characteristic, complemented
5C31×#2031C212yesmaximal, complemented
6C31×#2010C212yesmaximal, complemented
7C31×#1906C212yesmaximal, complemented
8C31×#1897C212yesmaximal, complemented
9C31×#1891C211yesmaximal, characteristic, complemented
10C31×#1884C211yesmaximal, characteristic, complemented
11C31×#1827C211yesmaximal, characteristic, complemented
12C31×#585C2211yescharacteristic
13C31×#575C2212yes—
14C31×#568C2211yescharacteristic
15C31×#542—21no—
16C31×#542—21no—
17C31×#541—21no—
18C31×#540—21no—
19C31×#539—22no—
20C31×#538—22no—
21C31×#533C2211yescharacteristic, complemented
22C31×#532C2211yescharacteristic
23C31×#529—22no—
24C31×#529—22no—
25C31×#525C2211yescharacteristic
26C31×#525C2212yes—
27C31×#525C2211yescharacteristic, complemented
28C4×#41×C31C2211yescharacteristic
29C4×#41×C31C2211yescharacteristic, complemented
30C2×C31×#117C2211yescharacteristic, 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—42no—
58C2×#41×C31C2311yescharacteristic
59C2×#41×C31C2312yes—
60C2×#41×C31C2311yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C31×#137—22no—
63C31×#137—22no—
64C31×AGL(1,ℤ/8)—22no—
65C31×AGL(1,ℤ/8)—22no—
66C31×#135—42no—
67C31×#131—42no—
68C2×M16×C31—22no—
69C2×M16×C31C2312yes—
70C2×M16×C31C2312yes—
71C31×C4⋊Q8—21no—
72C31×C4⋊Q8D411yescharacteristic, complemented
73C31×#127D411yescharacteristic, complemented
74C31×#126—22no—
75C31×#126—22no—
76C31×#126—22no—
77C31×#126—22no—
78C31×#125—22no—
79C31×#125—22no—
80C31×#125—21no—
81C31×#124—22no—
82C31×#124—22no—
83C31×#124D411yescharacteristic, complemented
84C31×#124D411yescharacteristic, complemented
85C31×#123—22no—
86C31×#123—22no—
87C31×#123—22no—
88C31×#123—22no—
89C31×#123—21no—
90C31×#123—22no—
91C31×#123D412yes—
92C31×C22⋊Q8—22no—
93C31×C22⋊Q8—22no—
94C31×C22⋊Q8—21no—
95C31×C22⋊Q8—21no—
96C31×C22⋊Q8—22no—
97C31×C22⋊Q8—22no—
98C31×#121—22no—
99C31×#121—22no—
100C31×#121—21no—
101C31×#121—21no—
102C31×#121—22no—
103C31×#121—22no—
104C31×#120—21no—
105C31×#120—22no—
106C31×#120D412yes—
107C4×Q8×C31—21no—
108C4×Q8×C31—21no—
109C4×Q8×C31—22no—
110C4×D4×C31—22no—
111C4×D4×C31—21no—
112C4×D4×C31—21no—
113C4×D4×C31—22no—
114C4×D4×C31—22no—
115C4×D4×C31—22no—
116C4×D4×C31—22no—
117C4×D4×C31—42no—
118C31×#117—21no—
119C31×#117—21no—
120C31×#117—21no—
121C31×#117—21no—
122C31×#117—21no—
123C31×#117D412yescomplemented
124C31×#117C2312yes—
125C31×#117C2311yescharacteristic
126C31×#117C2311yescharacteristic
127C2×C4⋊C4×C31—21no—
128C2×C22⋊C4×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—42no—
156#41×C31—42no—
157#41×C31—42no—
158#41×C31—42no—
159C2×Q8×C31—22no—
160C2×Q8×C31—22no—
161C2×Q8×C31—42no—
162C2×Q8×C31C2×D411yescharacteristic
163C2×Q8×C31C2×D411yescharacteristic
164C2×Q8×C31#4112yes—
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31—21no—
168C2×D4×C31—22no—
169C2×D4×C31—22no—
170C2×D4×C31—22no—
171C2×D4×C31—42no—
172C2×D4×C31—44no—
173C2×D4×C31—42no—
174C2×D4×C31—42no—
175C2×D4×C31C2×D412yes—
176C2×D4×C31C2×D411yescharacteristic
177C2×D4×C31C2×D411yescharacteristic
178C2×D4×C31#4112yes—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—21no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—21no—
185C22×C4×C31—21no—
186C22×C4×C31—22no—
187C22×C4×C31—22no—
188C22×C4×C31—22no—
189C22×C4×C31—42no—
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D412yes—
192C22×C4×C31C2411yescharacteristic
193Q16×C31—42no—
194SD16×C31—42no—
195SD16×C31—42no—
196D8×C31—42no—
197M16×C31—22no—
198M16×C31—22no—
199M16×C31—22no—
200M16×C31—22no—
201M16×C31—42no—
202C2×C8×C31—22no—
203C2×C8×C31—22no—
204C2×C8×C31—42no—
205C4⋊C4×C31—21no—
206C4⋊C4×C31—21no—
207C4⋊C4×C31—21no—
208C4⋊C4×C31—21no—
209C4⋊C4×C31—22no—
210C4⋊C4×C31—22no—
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—21no—
218C4⋊C4×C31—21no—
219C4⋊C4×C31—22no—
220C4⋊C4×C31—42no—
221C22⋊C4×C31—21no—
222C22⋊C4×C31—21no—
223C22⋊C4×C31—21no—
224C22⋊C4×C31—21no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—22no—
229C22⋊C4×C31—22no—
230C22⋊C4×C31—22no—
231C22⋊C4×C31—21no—
232C22⋊C4×C31—22no—
233C22⋊C4×C31—22no—
234C22⋊C4×C31—22no—
235C22⋊C4×C31—42no—
236C22⋊C4×C31—42no—
237C22⋊C4×C31C2×D412yes—
238C42×C31—22no—
239C42×C31—22no—
240C42×C31—21no—
241C42×C31—21no—
242C42×C31—21no—
243C42×C31—22no—
244C42×C31C2×D411yescharacteristic
245C42×C31C2×D411yescharacteristic
246C42×C31C2×D412yes—
247C42×C31C2×D411yescharacteristic
248C42×C31C2×D411yescharacteristic
249#23995C3111yesmaximal, characteristic, direct product factor, Sylow
250C23×C31—21no—
251C23×C31—21no—
252C23×C31—22no—
253C23×C31—22no—
254C23×C31—42no—
255C23×C31—81no—
256C23×C31#12012yes—
257C23×C31C22×D411yescharacteristic
258Q8×C31—22no—
259Q8×C31—22no—
260Q8×C31—22no—
261Q8×C31—22no—
262Q8×C31—42no—
263Q8×C31—82no—
264D4×C31—24no—
265D4×C31—22no—
266D4×C31—22no—
267D4×C31—22no—
268D4×C31—22no—
269D4×C31—42no—
270D4×C31—44no—
271D4×C31—42no—
272D4×C31—42no—
273D4×C31—42no—
274D4×C31—82no—
275D4×C31—82no—
276D4×C31—82no—
277D4×C31—84no—
278C2×C4×C31—22no—
279C2×C4×C31—22no—
280C2×C4×C31—21no—
281C2×C4×C31—21no—
282C2×C4×C31—21no—
283C2×C4×C31—22no—
284C2×C4×C31—21no—
285C2×C4×C31—22no—
286C2×C4×C31—21no—
287C2×C4×C31—21no—
288C2×C4×C31—22no—
289C2×C4×C31—22no—
290C2×C4×C31—44no—
291C2×C4×C31—42no—
292C2×C4×C31—41no—
293C2×C4×C31—41no—
294C2×C4×C31—41no—
295C2×C4×C31—42no—
296C2×C4×C31—41no—
297C2×C4×C31—42no—
298C2×C4×C31—42no—
299C2×C4×C31—42no—
300C2×C4×C31—81no—
301C2×C4×C31—82no—
302C2×C4×C31—82no—
303C2×C4×C31—81no—
304C2×C4×C31#12012yes—
305C2×C4×C31C22×D411yescharacteristic
306C2×C4×C31C22×D411yescharacteristic
307C2×C4×C31C2×#4112yes—
308C2×C4×C31H(5,𝔽2)12yes—
309C8×C31—42no—
310C8×C31—42no—
311#3455C2×C3111yescharacteristic, complemented
312#3025C2×C3111yescharacteristic, complemented
313#3018C2×C3111yescharacteristic, complemented
314#2901C2×C3111yescharacteristic, complemented
315#2031C2×C3112yescomplemented
316#2010C2×C3112yescomplemented
317#1906C2×C3112yescomplemented
318#1897C2×C3112yescomplemented
319#1891C2×C3111yescharacteristic, complemented
320#1884C2×C3111yescharacteristic, complemented
321#1827C2×C3111yescharacteristic, complemented
322C22×C31—22no—
323C22×C31—41no—
324C22×C31—42no—
325C22×C31—42no—
326C22×C31—41no—
327C22×C31—41no—
328C22×C31—42no—
329C22×C31—42no—
330C22×C31—42no—
331C22×C31—41no—
332C22×C31—41no—
333C22×C31—82no—
334C22×C31—162no—
335C22×C31C2×#12011yescharacteristic
336C22×C31#54612yes—
337C4×C31—22no—
338C4×C31—41no—
339C4×C31—41no—
340C4×C31—41no—
341C4×C31—42no—
342C4×C31—42no—
343C4×C31—41no—
344C4×C31—41no—
345C4×C31—42no—
346C4×C31—41no—
347C4×C31—82no—
348C4×C31#52511yescharacteristic
349C4×C31#53511yescharacteristic
350C4×C31#54612yes—
351#585C22×C3111yescharacteristic
352#575C22×C3112yes—
353#568C22×C3111yescharacteristic
354#542—21no—
355#542—21no—
356#541—21no—
357#540—21no—
358#539—22no—
359#538—22no—
360#533C22×C3111yescharacteristic, complemented
361#532C22×C3111yescharacteristic
362#529—22no—
363#529—22no—
364#525C22×C3111yescharacteristic
365#525C22×C3112yes—
366#525C22×C3111yescharacteristic, complemented
367C4×#41C22×C3111yescharacteristic
368C4×#41C22×C3111yescharacteristic, complemented
369C2×#117C22×C3111yescharacteristic, complemented
370#458—22no—
371B(4,𝔽2)—22no—
372#456—21no—
373#455—21no—
374#454—21no—
375#453—21no—
376#421—22no—
377#421C22×C3112yes—
378#421C22×C3112yescomplemented
379C2×#104—22no—
380C2×#104C22×C3112yes—
381C2×#104C22×C3112yes—
382#413C22×C3111yescharacteristic
383#410C22×C3111yescharacteristic
384#410C22×C3112yes—
385#407C22×C3112yescomplemented
386#344C22×C3112yescomplemented
387#339C22×C3112yescomplemented
388#339C22×C3112yescomplemented
389H(3,ℤ/4)C22×C3112yescomplemented
390C2×C31—21no—
391C2×C31—22no—
392C2×C31—42no—
393C2×C31—81no—
394C2×C31—81no—
395C2×C31—82no—
396C2×C31#240411yescharacteristic
3972−1+4—22no—
3982−1+4—21no—
399H(5,𝔽2)—22no—
400H(5,𝔽2)—22no—
401H(5,𝔽2)—21no—
402C2×#41—22no—
403C2×#41—42no—
404C2×#41C23×C3111yescharacteristic
405C2×#41C23×C3112yes—
406C2×#41C23×C3111yescharacteristic
407C23×C4C23×C3111yescharacteristic
408#137—22no—
409#137—22no—
410AGL(1,ℤ/8)—22no—
411AGL(1,ℤ/8)—22no—
412#135—42no—
413#131—42no—
414C2×M16—22no—
415C2×M16C23×C3112yes—
416C2×M16C23×C3112yes—
417C4⋊Q8—21no—
418C4⋊Q8D4×C3111yescharacteristic, complemented
419#127D4×C3111yescharacteristic, complemented
420#126—22no—
421#126—22no—
422#126—22no—
423#126—22no—
424#125—22no—
425#125—22no—
426#125—21no—
427#124—22no—
428#124—22no—
429#124D4×C3111yescharacteristic, complemented
430#124D4×C3111yescharacteristic, complemented
431#123—22no—
432#123—22no—
433#123—22no—
434#123—22no—
435#123—21no—
436#123—22no—
437#123D4×C3112yes—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444#121—22no—
445#121—22no—
446#121—21no—
447#121—21no—
448#121—22no—
449#121—22no—
450#120—21no—
451#120—22no—
452#120D4×C3112yes—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—22no—
456C4×D4—22no—
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—42no—
464#117—21no—
465#117—21no—
466#117—21no—
467#117—21no—
468#117—21no—
469#117D4×C3112yescomplemented
470#117C23×C3112yes—
471#117C23×C3111yescharacteristic
472#117C23×C3111yescharacteristic
473C2×C4⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C42—21no—
476C2×C42D4×C3112yescomplemented
477C2×C42C23×C3111yescharacteristic
478C2×C42C23×C3111yescharacteristic
479#104—22no—
480#104—24no—
481#104—22no—
482#104—22no—
483#104—22no—
484#104—42no—
485#101—21no—
486#100—21no—
487#99—22no—
488#99—24no—
489C22⋊C8—42no—
490C31#2399511yescharacteristic, direct product factor, Sylow
491C24C2×D4×C3111yescharacteristic
492#41—22no—
493#41—22no—
494#41—24no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—44no—
502#41—42no—
503#41—42no—
504#41—42no—
505#41—42no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—42no—
509C2×Q8C2×D4×C3111yescharacteristic
510C2×Q8C2×D4×C3111yescharacteristic
511C2×Q8#41×C3112yes—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4C2×D4×C3112yes—
523C2×D4C2×D4×C3111yescharacteristic
524C2×D4C2×D4×C3111yescharacteristic
525C2×D4#41×C3112yes—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—42no—
537C22×C4C2×D4×C3111yescharacteristic
538C22×C4C2×D4×C3112yes—
539C22×C4C24×C3111yescharacteristic
540Q16—42no—
541SD16—42no—
542SD16—42no—
543D8—42no—
544M16—22no—
545M16—22no—
546M16—22no—
547M16—22no—
548M16—42no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—42no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—22no—
567C4⋊C4—42no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4C2×D4×C3112yes—
585C42—22no—
586C42—22no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—22no—
591C42C2×D4×C3111yescharacteristic
592C42C2×D4×C3111yescharacteristic
593C42C2×D4×C3112yes—
594C42C2×D4×C3111yescharacteristic
595C42C2×D4×C3111yescharacteristic
596C23—21no—
597C23—21no—
598C23—22no—
599C23—22no—
600C23—42no—
601C23—81no—
602C23C31×#12012yes—
603C23C22×D4×C3111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—42no—
609Q8—82no—
610D4—24no—
611D4—22no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—42no—
616D4—44no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—82no—
621D4—82no—
622D4—82no—
623D4—84no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—81no—
647C2×C4—82no—
648C2×C4—82no—
649C2×C4—81no—
650C2×C4C31×#12012yes—
651C2×C4C22×D4×C3111yescharacteristic
652C2×C4C22×D4×C3111yescharacteristic
653C2×C4C2×#41×C3112yes—
654C2×C4C31×H(5,𝔽2)12yes—
655C8—42no—
656C8—42no—
657C22—22no—
658C22—41no—
659C22—42no—
660C22—42no—
661C22—41no—
662C22—41no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—41no—
667C22—41no—
668C22—82no—
669C22—162no—
670C22C2×C31×#12011yescharacteristic
671C22C31×#54612yes—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—42no—
681C4—41no—
682C4—82no—
683C4C31×#52511yescharacteristic
684C4C31×#53511yescharacteristic
685C4C31×#54612yes—
686C2—21no—
687C2—22no—
688C2—42no—
689C2—81no—
690C2—81no—
691C2—82no—
692C2C31×#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×#3455C2semidirect
2. C31×#3025C2semidirect
3. C31×#3018C2semidirect
4. C31×#2901C2semidirect
5. C31×#2031C2semidirect
6. C31×#2010C2semidirect
7. C31×#1906C2semidirect
8. C31×#1897C2semidirect
9. C31×#1891C2semidirect
10. C31×#1884C2semidirect
11. C31×#1827C2semidirect
21. C31×#533C22semidirect
27. C31×#525C22semidirect
29. C4×#41×C31C22semidirect
30. C2×C31×#117C22semidirect
39. C31×#421C22semidirect
46. C31×#407C22semidirect
47. C31×#344C22semidirect
48. C31×#339C22semidirect
49. C31×#339C22semidirect
50. C31×H(3,ℤ/4)C22semidirect
72. C31×C4⋊Q8D4semidirect
73. C31×#127D4semidirect
83. C31×#124D4semidirect
84. C31×#124D4semidirect
123. C31×#117D4semidirect
130. C2×C42×C31D4semidirect
249. #23995C31direct (N × H)
311. #3455C2×C31semidirect
312. #3025C2×C31semidirect
313. #3018C2×C31semidirect
314. #2901C2×C31semidirect
315. #2031C2×C31semidirect
316. #2010C2×C31semidirect
317. #1906C2×C31semidirect
318. #1897C2×C31semidirect
319. #1891C2×C31semidirect
320. #1884C2×C31semidirect
321. #1827C2×C31semidirect
360. #533C22×C31semidirect
366. #525C22×C31semidirect
368. C4×#41C22×C31semidirect
369. C2×#117C22×C31semidirect
378. #421C22×C31semidirect
385. #407C22×C31semidirect
386. #344C22×C31semidirect
387. #339C22×C31semidirect
388. #339C22×C31semidirect
389. H(3,ℤ/4)C22×C31semidirect
418. C4⋊Q8D4×C31semidirect
419. #127D4×C31semidirect
429. #124D4×C31semidirect
430. #124D4×C31semidirect
469. #117D4×C31semidirect
476. C2×C42D4×C31semidirect
490. C31#23995direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34552
C31×#30252
C31×#30182
C31×#29012
C31×#20312
C31×#20102
C31×#19062
C31×#18972
C31×#18912
C31×#18842
C31×#18272
#2399531