Finite Group Databasebeta

← C31×#23883 #21480642

Subgroups — C31×#23883 #21480642

Order 7936.

1696 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3585C211yesmaximal, characteristic, complemented
2C31×#3485C211yesmaximal, characteristic, complemented
3C31×#3025C211yesmaximal, characteristic, complemented
4C31×#3022C211yesmaximal, characteristic, complemented
5C31×#3005C212yesmaximal, complemented
6C31×#2010C212yesmaximal, complemented
7C31×#2009C212yesmaximal, complemented
8C31×#1909C211yesmaximal, characteristic, complemented
9C31×#1904C212yesmaximal, complemented
10C31×#1891C211yesmaximal, characteristic, complemented
11C31×#1795C211yesmaximal, characteristic, complemented
12C31×#585C2211yescharacteristic
13C2×C31×H(5,𝔽2)C2211yescharacteristic
14C22×#41×C31C2211yescharacteristic, complemented
15C31×#577—24no—
16C31×#576—24no—
17C31×#575—22no—
18C31×#575C2212yes—
19C2×C31×#137C2212yescomplemented
20C2×C31×AGL(1,ℤ/8)—22no—
21C2×C31×AGL(1,ℤ/8)C2212yes—
22C31×#568C2211yescharacteristic
23C31×#547—22no—
24C31×#547—22no—
25C31×#546—22no—
26C31×#546—22no—
27C31×#536C2211yescharacteristic
28C31×#536C2211yescharacteristic, complemented
29C31×#534—22no—
30C31×#525C2211yescharacteristic
31C31×#525C2211yescharacteristic, complemented
32C31×#525C2212yescomplemented
33C2×C31×#123—22no—
34C31×#518C2211yescharacteristic, complemented
35C31×#458—22no—
36C31×B(4,𝔽2)—22no—
37C31×#456—22no—
38C31×#455—22no—
39C31×#452—24no—
40C31×#449—24no—
41C31×#421C2212yescomplemented
42C31×#421C2212yescomplemented
43C31×#419C2212yescomplemented
44C31×#418C2212yescomplemented
45C31×#413C2211yescharacteristic
46C31×#410C2211yescharacteristic
47C31×#410C2212yescomplemented
48C31×#407C2212yescomplemented
49C31×#344C2212yescomplemented
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)—24no—
55C31×H(5,𝔽2)—22no—
56C31×H(5,𝔽2)—21no—
57C31×H(5,𝔽2)—42no—
58C2×#41×C31—22no—
59C2×#41×C31—21no—
60C2×#41×C31—22no—
61C2×#41×C31—24no—
62C2×#41×C31—22no—
63C2×#41×C31—42no—
64C2×#41×C31—42no—
65C2×#41×C31D412yescomplemented
66C2×#41×C31C2312yes—
67C2×#41×C31C2311yescharacteristic
68C2×#41×C31C2311yescharacteristic
69C22×Q8×C31C2311yescharacteristic
70C22×D4×C31—21no—
71C22×D4×C31—22no—
72C22×D4×C31—21no—
73C22×D4×C31D412yescomplemented
74C22×D4×C31C2311yescharacteristic
75C23×C4×C31—21no—
76C23×C4×C31C2311yescharacteristic
77C31×#137—24no—
78C31×#137—22no—
79C31×#137—22no—
80C31×#137—24no—
81C31×#137—42no—
82C31×AGL(1,ℤ/8)—28no—
83C31×AGL(1,ℤ/8)—24no—
84C31×AGL(1,ℤ/8)—22no—
85C31×AGL(1,ℤ/8)—24no—
86C31×AGL(1,ℤ/8)—24no—
87C31×AGL(1,ℤ/8)—22no—
88C31×#135—28no—
89C31×#135—24no—
90C2×Q16×C31—22no—
91C2×SD16×C31—24no—
92C2×SD16×C31—22no—
93C2×SD16×C31D414yescomplemented
94C2×D8×C31—24no—
95C2×D8×C31D414yescomplemented
96C31×#131—24no—
97C2×M16×C31—22no—
98C2×M16×C31C2312yes—
99C2×M16×C31C2312yes—
100C31×C4⋊Q8—21no—
101C31×C4⋊Q8D412yescomplemented
102C31×#124—21no—
103C31×#124D412yescomplemented
104C31×#123—24no—
105C31×#123—24no—
106C31×#123—24no—
107C31×#123—22no—
108C31×#123—21no—
109C31×#123—22no—
110C31×#123—22no—
111C31×#123D412yes—
112C31×C22⋊Q8—21no—
113C31×C22⋊Q8—21no—
114C31×C22⋊Q8—22no—
115C31×C22⋊Q8—22no—
116C31×C22⋊Q8—22no—
117C31×#121—24no—
118C31×#121—24no—
119C31×#121—21no—
120C31×#121—21no—
121C31×#121—22no—
122C31×#120—24no—
123C31×#120—21no—
124C31×#120—22no—
125C31×#120D412yes—
126C4×D4×C31—22no—
127C4×D4×C31—22no—
128C4×D4×C31—22no—
129C4×D4×C31—22no—
130C4×D4×C31—42no—
131C31×#117C2312yes—
132C31×#117C2311yescharacteristic
133C31×#117C2311yescharacteristic
134C2×C4⋊C4×C31—24no—
135C2×C22⋊C4×C31—24no—
136C2×C22⋊C4×C31—22no—
137C31×#104—24no—
138C31×#104—42no—
139C31×#103—24no—
140C31×#102—24no—
141C31×#101—21no—
142C31×#100—21no—
143C31×#99—22no—
144C31×#99—24no—
145C31×C22⋊C8—24no—
146C24×C31—21no—
147C24×C31—22no—
148C24×C31C2×D411yescharacteristic
149#41×C31—22no—
150#41×C31—22no—
151#41×C31—24no—
152#41×C31—24no—
153#41×C31—22no—
154#41×C31—22no—
155#41×C31—22no—
156#41×C31—22no—
157#41×C31—22no—
158#41×C31—22no—
159#41×C31—42no—
160#41×C31—44no—
161#41×C31—42no—
162#41×C31—48no—
163#41×C31—44no—
164#41×C31—42no—
165#41×C31—42no—
166#41×C31—44no—
167#41×C31—44no—
168#41×C31—42no—
169C2×Q8×C31—21no—
170C2×Q8×C31—22no—
171C2×Q8×C31—22no—
172C2×Q8×C31—22no—
173C2×Q8×C31—42no—
174C2×Q8×C31C2×D412yes—
175C2×Q8×C31C2×D411yescharacteristic
176C2×Q8×C31C2×D412yes—
177C2×Q8×C31C2×D411yescharacteristic
178C2×D4×C31—22no—
179C2×D4×C31—24no—
180C2×D4×C31—24no—
181C2×D4×C31—22no—
182C2×D4×C31—22no—
183C2×D4×C31—21no—
184C2×D4×C31—22no—
185C2×D4×C31—22no—
186C2×D4×C31—22no—
187C2×D4×C31—21no—
188C2×D4×C31—22no—
189C2×D4×C31—42no—
190C2×D4×C31—44no—
191C2×D4×C31—42no—
192C2×D4×C31—48no—
193C2×D4×C31—44no—
194C2×D4×C31—44no—
195C2×D4×C31—42no—
196C2×D4×C31—42no—
197C2×D4×C31C2×D412yes—
198C2×D4×C31C2×D411yescharacteristic
199C2×D4×C31C2×D412yes—
200C2×D4×C31C2×D411yescharacteristic
201C2×D4×C31C2×D414yes—
202C2×D4×C31C2×D412yes—
203C22×C4×C31—24no—
204C22×C4×C31—21no—
205C22×C4×C31—24no—
206C22×C4×C31—22no—
207C22×C4×C31—22no—
208C22×C4×C31—21no—
209C22×C4×C31—21no—
210C22×C4×C31—21no—
211C22×C4×C31—22no—
212C22×C4×C31—22no—
213C22×C4×C31—44no—
214C22×C4×C31—42no—
215C22×C4×C31C2×D411yescharacteristic
216C22×C4×C31C2×D412yes—
217C22×C4×C31C2411yescharacteristic
218Q16×C31—24no—
219Q16×C31—44no—
220SD16×C31—24no—
221SD16×C31—24no—
222SD16×C31—28no—
223SD16×C31—44no—
224D8×C31—24no—
225D8×C31—28no—
226M16×C31—24no—
227M16×C31—22no—
228M16×C31—22no—
229M16×C31—22no—
230M16×C31—22no—
231C2×C8×C31—24no—
232C2×C8×C31—22no—
233C2×C8×C31C2×D414yes—
234C4⋊C4×C31—22no—
235C4⋊C4×C31—24no—
236C4⋊C4×C31—22no—
237C4⋊C4×C31—24no—
238C4⋊C4×C31—21no—
239C4⋊C4×C31—21no—
240C4⋊C4×C31—22no—
241C4⋊C4×C31—42no—
242C22⋊C4×C31—22no—
243C22⋊C4×C31—24no—
244C22⋊C4×C31—24no—
245C22⋊C4×C31—22no—
246C22⋊C4×C31—22no—
247C22⋊C4×C31—24no—
248C22⋊C4×C31—21no—
249C22⋊C4×C31—22no—
250C22⋊C4×C31—22no—
251C22⋊C4×C31—42no—
252C22⋊C4×C31—42no—
253C22⋊C4×C31C2×D412yes—
254C42×C31—21no—
255C42×C31—22no—
256C42×C31C2×D412yes—
257#23883C3111yesmaximal, characteristic, direct product factor, Sylow
258C23×C31—22no—
259C23×C31—24no—
260C23×C31—21no—
261C23×C31—21no—
262C23×C31—22no—
263C23×C31—22no—
264C23×C31—44no—
265C23×C31—42no—
266C23×C31—81no—
267C23×C31—82no—
268C23×C31—84no—
269C23×C31#12012yes—
270C23×C31C22×D411yescharacteristic
271Q8×C31—22no—
272Q8×C31—22no—
273Q8×C31—21no—
274Q8×C31—21no—
275Q8×C31—24no—
276Q8×C31—22no—
277Q8×C31—42no—
278Q8×C31—41no—
279Q8×C31—41no—
280D4×C31—24no—
281D4×C31—22no—
282D4×C31—21no—
283D4×C31—22no—
284D4×C31—21no—
285D4×C31—24no—
286D4×C31—22no—
287D4×C31—22no—
288D4×C31—44no—
289D4×C31—42no—
290D4×C31—44no—
291D4×C31—48no—
292D4×C31—44no—
293D4×C31—42no—
294D4×C31—42no—
295D4×C31—42no—
296D4×C31—82no—
297D4×C31—82no—
298D4×C31—84no—
299D4×C31#12014yes—
300C2×C4×C31—22no—
301C2×C4×C31—22no—
302C2×C4×C31—22no—
303C2×C4×C31—22no—
304C2×C4×C31—21no—
305C2×C4×C31—22no—
306C2×C4×C31—21no—
307C2×C4×C31—22no—
308C2×C4×C31—22no—
309C2×C4×C31—44no—
310C2×C4×C31—44no—
311C2×C4×C31—48no—
312C2×C4×C31—42no—
313C2×C4×C31—42no—
314C2×C4×C31—41no—
315C2×C4×C31—41no—
316C2×C4×C31—42no—
317C2×C4×C31—42no—
318C2×C4×C31—42no—
319C2×C4×C31—42no—
320C2×C4×C31—42no—
321C2×C4×C31—84no—
322C2×C4×C31#12012yes—
323C2×C4×C31C22×D411yescharacteristic
324C2×C4×C31C22×D412yes—
325C2×C4×C31C22×D411yescharacteristic
326C2×C4×C31H(5,𝔽2)12yes—
327C8×C31—24no—
328C8×C31—42no—
329#3585C2×C3111yescharacteristic, complemented
330#3485C2×C3111yescharacteristic, complemented
331#3025C2×C3111yescharacteristic, complemented
332#3022C2×C3111yescharacteristic, complemented
333#3005C2×C3112yescomplemented
334#2010C2×C3112yescomplemented
335#2009C2×C3112yescomplemented
336#1909C2×C3111yescharacteristic, complemented
337#1904C2×C3112yescomplemented
338#1891C2×C3111yescharacteristic, complemented
339#1795C2×C3111yescharacteristic, complemented
340C22×C31—22no—
341C22×C31—24no—
342C22×C31—41no—
343C22×C31—42no—
344C22×C31—44no—
345C22×C31—41no—
346C22×C31—41no—
347C22×C31—42no—
348C22×C31—42no—
349C22×C31—42no—
350C22×C31—42no—
351C22×C31—41no—
352C22×C31—41no—
353C22×C31—84no—
354C22×C31—82no—
355C22×C31—164no—
356C22×C31—162no—
357C22×C31C2×#12011yescharacteristic
358C22×C31D4212yes—
359C4×C31—22no—
360C4×C31—42no—
361C4×C31—42no—
362C4×C31—41no—
363C4×C31—41no—
364C4×C31—42no—
365C4×C31—42no—
366C4×C31—82no—
367C4×C31C2×#12011yescharacteristic
368C4×C31#53411yescharacteristic
369C4×C31D4212yes—
370#585C22×C3111yescharacteristic
371C2×H(5,𝔽2)C22×C3111yescharacteristic
372C22×#41C22×C3111yescharacteristic, complemented
373#577—24no—
374#576—24no—
375#575—22no—
376#575C22×C3112yes—
377C2×#137C22×C3112yescomplemented
378C2×AGL(1,ℤ/8)—22no—
379C2×AGL(1,ℤ/8)C22×C3112yes—
380#568C22×C3111yescharacteristic
381#547—22no—
382#547—22no—
383#546—22no—
384#546—22no—
385#536C22×C3111yescharacteristic
386#536C22×C3111yescharacteristic, complemented
387#534—22no—
388#525C22×C3111yescharacteristic
389#525C22×C3111yescharacteristic, complemented
390#525C22×C3112yescomplemented
391C2×#123—22no—
392#518C22×C3111yescharacteristic, complemented
393#458—22no—
394B(4,𝔽2)—22no—
395#456—22no—
396#455—22no—
397#452—24no—
398#449—24no—
399#421C22×C3112yescomplemented
400#421C22×C3112yescomplemented
401#419C22×C3112yescomplemented
402#418C22×C3112yescomplemented
403#413C22×C3111yescharacteristic
404#410C22×C3111yescharacteristic
405#410C22×C3112yescomplemented
406#407C22×C3112yescomplemented
407#344C22×C3112yescomplemented
408H(3,ℤ/4)C22×C3112yescomplemented
409C2×C31—21no—
410C2×C31—22no—
411C2×C31—44no—
412C2×C31—42no—
413C2×C31—81no—
414C2×C31—81no—
415C2×C31—82no—
416C2×C31#240311yescharacteristic
4172−1+4—22no—
4182−1+4—21no—
419H(5,𝔽2)—22no—
420H(5,𝔽2)—24no—
421H(5,𝔽2)—22no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—42no—
424C2×#41—22no—
425C2×#41—21no—
426C2×#41—22no—
427C2×#41—24no—
428C2×#41—22no—
429C2×#41—42no—
430C2×#41—42no—
431C2×#41D4×C3112yescomplemented
432C2×#41C23×C3111yescharacteristic
433C2×#41C23×C3112yes—
434C2×#41C23×C3111yescharacteristic
435C22×Q8C23×C3111yescharacteristic
436C22×D4—21no—
437C22×D4—22no—
438C22×D4—21no—
439C22×D4D4×C3112yescomplemented
440C22×D4C23×C3111yescharacteristic
441C23×C4—21no—
442C23×C4C23×C3111yescharacteristic
443#137—24no—
444#137—22no—
445#137—22no—
446#137—24no—
447#137—42no—
448AGL(1,ℤ/8)—28no—
449AGL(1,ℤ/8)—24no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—24no—
452AGL(1,ℤ/8)—24no—
453AGL(1,ℤ/8)—22no—
454#135—28no—
455#135—24no—
456C2×Q16—22no—
457C2×SD16—24no—
458C2×SD16—22no—
459C2×SD16D4×C3114yescomplemented
460C2×D8—24no—
461C2×D8D4×C3114yescomplemented
462#131—24no—
463C2×M16—22no—
464C2×M16C23×C3112yes—
465C2×M16C23×C3112yes—
466C4⋊Q8—21no—
467C4⋊Q8D4×C3112yescomplemented
468#124—21no—
469#124D4×C3112yescomplemented
470#123—24no—
471#123—24no—
472#123—24no—
473#123—22no—
474#123—21no—
475#123—22no—
476#123—22no—
477#123D4×C3112yes—
478C22⋊Q8—21no—
479C22⋊Q8—21no—
480C22⋊Q8—22no—
481C22⋊Q8—22no—
482C22⋊Q8—22no—
483#121—24no—
484#121—24no—
485#121—21no—
486#121—21no—
487#121—22no—
488#120—24no—
489#120—21no—
490#120—22no—
491#120D4×C3112yes—
492C4×D4—22no—
493C4×D4—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—42no—
497#117C23×C3112yes—
498#117C23×C3111yescharacteristic
499#117C23×C3111yescharacteristic
500C2×C4⋊C4—24no—
501C2×C22⋊C4—24no—
502C2×C22⋊C4—22no—
503#104—24no—
504#104—42no—
505#103—24no—
506#102—24no—
507#101—21no—
508#100—21no—
509#99—22no—
510#99—24no—
511C22⋊C8—24no—
512C31#2388311yescharacteristic, direct product factor, Sylow
513C24—21no—
514C24—22no—
515C24C2×D4×C3111yescharacteristic
516#41—22no—
517#41—22no—
518#41—24no—
519#41—24no—
520#41—22no—
521#41—22no—
522#41—22no—
523#41—22no—
524#41—22no—
525#41—22no—
526#41—42no—
527#41—44no—
528#41—42no—
529#41—48no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41—44no—
534#41—44no—
535#41—42no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—42no—
541C2×Q8C2×D4×C3112yes—
542C2×Q8C2×D4×C3111yescharacteristic
543C2×Q8C2×D4×C3112yes—
544C2×Q8C2×D4×C3111yescharacteristic
545C2×D4—22no—
546C2×D4—24no—
547C2×D4—24no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—42no—
557C2×D4—44no—
558C2×D4—42no—
559C2×D4—48no—
560C2×D4—44no—
561C2×D4—44no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4C2×D4×C3112yes—
565C2×D4C2×D4×C3111yescharacteristic
566C2×D4C2×D4×C3112yes—
567C2×D4C2×D4×C3111yescharacteristic
568C2×D4C2×D4×C3114yes—
569C2×D4C2×D4×C3112yes—
570C22×C4—24no—
571C22×C4—21no—
572C22×C4—24no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—22no—
579C22×C4—22no—
580C22×C4—44no—
581C22×C4—42no—
582C22×C4C2×D4×C3111yescharacteristic
583C22×C4C2×D4×C3112yes—
584C22×C4C24×C3111yescharacteristic
585Q16—24no—
586Q16—44no—
587SD16—24no—
588SD16—24no—
589SD16—28no—
590SD16—44no—
591D8—24no—
592D8—28no—
593M16—24no—
594M16—22no—
595M16—22no—
596M16—22no—
597M16—22no—
598C2×C8—24no—
599C2×C8—22no—
600C2×C8C2×D4×C3114yes—
601C4⋊C4—22no—
602C4⋊C4—24no—
603C4⋊C4—22no—
604C4⋊C4—24no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—22no—
608C4⋊C4—42no—
609C22⋊C4—22no—
610C22⋊C4—24no—
611C22⋊C4—24no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—24no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C22⋊C4C2×D4×C3112yes—
621C42—21no—
622C42—22no—
623C42C2×D4×C3112yes—
624C23—22no—
625C23—24no—
626C23—21no—
627C23—21no—
628C23—22no—
629C23—22no—
630C23—44no—
631C23—42no—
632C23—81no—
633C23—82no—
634C23—84no—
635C23C31×#12012yes—
636C23C22×D4×C3111yescharacteristic
637Q8—22no—
638Q8—22no—
639Q8—21no—
640Q8—21no—
641Q8—24no—
642Q8—22no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646D4—24no—
647D4—22no—
648D4—21no—
649D4—22no—
650D4—21no—
651D4—24no—
652D4—22no—
653D4—22no—
654D4—44no—
655D4—42no—
656D4—44no—
657D4—48no—
658D4—44no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—82no—
663D4—82no—
664D4—84no—
665D4C31×#12014yes—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—84no—
688C2×C4C31×#12012yes—
689C2×C4C22×D4×C3111yescharacteristic
690C2×C4C22×D4×C3112yes—
691C2×C4C22×D4×C3111yescharacteristic
692C2×C4C31×H(5,𝔽2)12yes—
693C8—24no—
694C8—42no—
695C22—22no—
696C22—24no—
697C22—41no—
698C22—42no—
699C22—44no—
700C22—41no—
701C22—41no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—84no—
709C22—82no—
710C22—164no—
711C22—162no—
712C22C2×C31×#12011yescharacteristic
713C22D42×C3112yes—
714C4—22no—
715C4—42no—
716C4—42no—
717C4—41no—
718C4—41no—
719C4—42no—
720C4—42no—
721C4—82no—
722C4C2×C31×#12011yescharacteristic
723C4C31×#53411yescharacteristic
724C4D42×C3112yes—
725C2—21no—
726C2—22no—
727C2—44no—
728C2—42no—
729C2—81no—
730C2—81no—
731C2—82no—
732C2C31×#240311yescharacteristic
subgroupG/H
center, socleC2×C31#2403
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C31 ◁ C22×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3585C2semidirect
2. C31×#3485C2semidirect
3. C31×#3025C2semidirect
4. C31×#3022C2semidirect
5. C31×#3005C2semidirect
6. C31×#2010C2semidirect
7. C31×#2009C2semidirect
8. C31×#1909C2semidirect
9. C31×#1904C2semidirect
10. C31×#1891C2semidirect
11. C31×#1795C2semidirect
14. C22×#41×C31C22semidirect
19. C2×C31×#137C22semidirect
28. C31×#536C22semidirect
31. C31×#525C22semidirect
32. C31×#525C22semidirect
34. C31×#518C22semidirect
41. C31×#421C22semidirect
42. C31×#421C22semidirect
43. C31×#419C22semidirect
44. C31×#418C22semidirect
47. C31×#410C22semidirect
48. C31×#407C22semidirect
49. C31×#344C22semidirect
50. C31×H(3,ℤ/4)C22semidirect
65. C2×#41×C31D4semidirect
73. C22×D4×C31D4semidirect
93. C2×SD16×C31D4semidirect
95. C2×D8×C31D4semidirect
101. C31×C4⋊Q8D4semidirect
103. C31×#124D4semidirect
257. #23883C31direct (N × H)
329. #3585C2×C31semidirect
330. #3485C2×C31semidirect
331. #3025C2×C31semidirect
332. #3022C2×C31semidirect
333. #3005C2×C31semidirect
334. #2010C2×C31semidirect
335. #2009C2×C31semidirect
336. #1909C2×C31semidirect
337. #1904C2×C31semidirect
338. #1891C2×C31semidirect
339. #1795C2×C31semidirect
372. C22×#41C22×C31semidirect
377. C2×#137C22×C31semidirect
386. #536C22×C31semidirect
389. #525C22×C31semidirect
390. #525C22×C31semidirect
392. #518C22×C31semidirect
399. #421C22×C31semidirect
400. #421C22×C31semidirect
401. #419C22×C31semidirect
402. #418C22×C31semidirect
405. #410C22×C31semidirect
406. #407C22×C31semidirect
407. #344C22×C31semidirect
408. H(3,ℤ/4)C22×C31semidirect
431. C2×#41D4×C31semidirect
439. C22×D4D4×C31semidirect
459. C2×SD16D4×C31semidirect
461. C2×D8D4×C31semidirect
467. C4⋊Q8D4×C31semidirect
469. #124D4×C31semidirect
512. C31#23883direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35852
C31×#34852
C31×#30252
C31×#30222
C31×#30052
C31×#20102
C31×#20092
C31×#19092
C31×#19042
C31×#18912
C31×#17952
#2388331