Finite Group Databasebeta

← C31×#18100 #21474859

Subgroups — C31×#18100 #21474859

Order 7936.

1256 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3459C211yesmaximal, characteristic, complemented
2C31×#3002C212yesmaximal, complemented
3C31×#2388C211yesmaximal, characteristic, complemented
4C31×#1603C212yesmaximal, complemented
5C31×#1602C211yesmaximal, characteristic, complemented
6C31×#1601C211yesmaximal, characteristic, complemented
7C31×#1597C212yesmaximal, complemented
8C31×#1596C211yesmaximal, characteristic, complemented
9C31×#1595C211yesmaximal, characteristic, complemented
10C31×#1501C212yesmaximal, complemented
11C31×#1459C211yesmaximal, characteristic, complemented
12C22×#41×C31C2211yescharacteristic, complemented
13C2×C31×#135—22no—
14C31×#543C2211yescharacteristic
15C31×#539—22no—
16C31×#539C2212yes—
17C31×#538—22no—
18C31×#538—21no—
19C31×#534—21no—
20C31×#534C2211yescharacteristic
21C31×#529—22no—
22C31×#529—21no—
23C31×#525—22no—
24C31×#525C2212yes—
25C2×C4×D4×C31—21no—
26C2×C4×D4×C31—21no—
27C2×C4×D4×C31C2211yescharacteristic
28C31×#452—22no—
29C31×#451C2212yescomplemented
30C31×#450C2212yescomplemented
31C31×#449—22no—
32C31×#448C2212yes—
33C31×#447C2212yes—
34C31×#416—22no—
35C2×C31×C22⋊C8C2212yescomplemented
36C31×#395C2211yescharacteristic, complemented
37C31×#394—21no—
38C31×#394C2211yescharacteristic, complemented
39C31×#393C2211yescharacteristic
40C31×#392—21no—
41C31×#392C2211yescharacteristic
42C4×C22⋊C4×C31—21no—
43C4×C22⋊C4×C31C2211yescharacteristic, complemented
44C31×#328C2212yescomplemented
45C31×#328C2212yescomplemented
46C31×#327C2212yes—
47C31×#327C2212yes—
48C31×#324C2212yescomplemented
49C31×#323C2211yescharacteristic
50C31×#323C2211yescharacteristic
51C2×#41×C31—22no—
52C2×#41×C31—22no—
53C2×#41×C31—44no—
54C2×#41×C31D412yescomplemented
55C22×Q8×C31C2311yescharacteristic
56C22×D4×C31—21no—
57C22×D4×C31—21no—
58C22×D4×C31—21no—
59C22×D4×C31D411yescharacteristic
60C22×D4×C31C2311yescharacteristic
61C23×C4×C31—21no—
62C23×C4×C31—21no—
63C23×C4×C31D411yescharacteristic
64C23×C4×C31C2311yescharacteristic
65C31×#135—48no—
66C2×Q16×C31—22no—
67C2×SD16×C31—22no—
68C2×SD16×C31—22no—
69C2×D8×C31—22no—
70C22×C8×C31—22no—
71C31×#126—22no—
72C31×#126—22no—
73C31×#126—22no—
74C31×#125—21no—
75C31×#125—22no—
76C31×#124—22no—
77C31×#124—21no—
78C31×#123—22no—
79C31×#123—22no—
80C31×#123—22no—
81C31×#123—22no—
82C31×#123—22no—
83C31×#123—22no—
84C31×C22⋊Q8—22no—
85C31×C22⋊Q8—22no—
86C31×C22⋊Q8—21no—
87C31×C22⋊Q8—22no—
88C31×C22⋊Q8D412yescomplemented
89C31×C22⋊Q8C2312yes—
90C31×#121—22no—
91C31×#121—22no—
92C31×#121—22no—
93C31×#121—21no—
94C31×#121D412yescomplemented
95C31×#121C2312yes—
96C31×#120—22no—
97C31×#120—22no—
98C31×#120—22no—
99C4×Q8×C31—21no—
100C4×D4×C31—22no—
101C4×D4×C31—22no—
102C4×D4×C31—21no—
103C4×D4×C31—22no—
104C4×D4×C31—22no—
105C4×D4×C31—22no—
106C4×D4×C31—22no—
107C4×D4×C31—22no—
108C4×D4×C31—44no—
109C31×#117—22no—
110C31×#117D412yescomplemented
111C2×C4⋊C4×C31—21no—
112C2×C4⋊C4×C31—21no—
113C2×C4⋊C4×C31C2311yescharacteristic
114C2×C22⋊C4×C31—21no—
115C2×C22⋊C4×C31—21no—
116C2×C22⋊C4×C31—21no—
117C2×C22⋊C4×C31—21no—
118C2×C22⋊C4×C31—21no—
119C2×C22⋊C4×C31—21no—
120C2×C22⋊C4×C31—21no—
121C2×C22⋊C4×C31D411yescharacteristic
122C2×C22⋊C4×C31C2311yescharacteristic
123C2×C42×C31—21no—
124C2×C42×C31—21no—
125C2×C42×C31D411yescharacteristic
126C31×#103—22no—
127C31×#103—22no—
128C31×#102—22no—
129C31×#102—22no—
130C31×C22⋊C8—22no—
131C31×C22⋊C8C2312yes—
132C31×C22⋊C8C2312yes—
133C31×#95—21no—
134C31×#95—21no—
135C31×#95C2311yescharacteristic
136C31×#95C2311yescharacteristic
137C24×C31—21no—
138C24×C31—21no—
139C24×C31C2×D411yescharacteristic
140C24×C31C2×D411yescharacteristic
141#41×C31—28no—
142#41×C31—44no—
143#41×C31—44no—
144#41×C31—44no—
145#41×C31—44no—
146C2×Q8×C31—21no—
147C2×Q8×C31—22no—
148C2×Q8×C31—42no—
149C2×Q8×C31C2×D412yes—
150C2×D4×C31—22no—
151C2×D4×C31—22no—
152C2×D4×C31—22no—
153C2×D4×C31—22no—
154C2×D4×C31—21no—
155C2×D4×C31—22no—
156C2×D4×C31—22no—
157C2×D4×C31—22no—
158C2×D4×C31—41no—
159C2×D4×C31—42no—
160C2×D4×C31—42no—
161C2×D4×C31—42no—
162C2×D4×C31—42no—
163C2×D4×C31—42no—
164C2×D4×C31—42no—
165C2×D4×C31—42no—
166C2×D4×C31—42no—
167C2×D4×C31—42no—
168C2×D4×C31C2×D412yes—
169C22×C4×C31—21no—
170C22×C4×C31—24no—
171C22×C4×C31—21no—
172C22×C4×C31—21no—
173C22×C4×C31—21no—
174C22×C4×C31—21no—
175C22×C4×C31—22no—
176C22×C4×C31—21no—
177C22×C4×C31—22no—
178C22×C4×C31—21no—
179C22×C4×C31—21no—
180C22×C4×C31—42no—
181C22×C4×C31—42no—
182C22×C4×C31—42no—
183C22×C4×C31—41no—
184C22×C4×C31—41no—
185C22×C4×C31—82no—
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D412yes—
189C22×C4×C31C2×D411yescharacteristic
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D412yes—
192C22×C4×C31C2411yescharacteristic
193Q16×C31—44no—
194SD16×C31—44no—
195SD16×C31—44no—
196D8×C31—44no—
197C2×C8×C31—22no—
198C2×C8×C31—22no—
199C2×C8×C31—44no—
200C4⋊C4×C31—22no—
201C4⋊C4×C31—22no—
202C4⋊C4×C31—22no—
203C4⋊C4×C31—21no—
204C4⋊C4×C31—21no—
205C4⋊C4×C31—22no—
206C4⋊C4×C31—22no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31—42no—
210C4⋊C4×C31C2×D412yes—
211C4⋊C4×C31C2×D412yes—
212C22⋊C4×C31—22no—
213C22⋊C4×C31—22no—
214C22⋊C4×C31—22no—
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—22no—
220C22⋊C4×C31—22no—
221C22⋊C4×C31—22no—
222C22⋊C4×C31—22no—
223C22⋊C4×C31—22no—
224C22⋊C4×C31—42no—
225C22⋊C4×C31—42no—
226C22⋊C4×C31—42no—
227C22⋊C4×C31—42no—
228C22⋊C4×C31—42no—
229C42×C31—22no—
230C42×C31—21no—
231C42×C31—22no—
232C42×C31—21no—
233C42×C31—42no—
234#18100C3111yesmaximal, characteristic, direct product factor, Sylow
235C23×C31—21no—
236C23×C31—21no—
237C23×C31—21no—
238C23×C31—21no—
239C23×C31—22no—
240C23×C31—22no—
241C23×C31—41no—
242C23×C31—41no—
243C23×C31—41no—
244C23×C31—41no—
245C23×C31—41no—
246C23×C31—41no—
247C23×C31—41no—
248C23×C31—42no—
249C23×C31—41no—
250C23×C31—41no—
251C23×C31—41no—
252C23×C31—81no—
253C23×C31—81no—
254C23×C31#12012yes—
255C23×C31#13512yescomplemented
256C23×C31C22×D411yescharacteristic
257Q8×C31—24no—
258Q8×C31—42no—
259Q8×C31—42no—
260Q8×C31—81no—
261D4×C31—24no—
262D4×C31—42no—
263D4×C31—42no—
264D4×C31—44no—
265D4×C31—44no—
266D4×C31—48no—
267D4×C31—48no—
268D4×C31—42no—
269D4×C31—42no—
270D4×C31—82no—
271D4×C31—82no—
272D4×C31—81no—
273C2×C4×C31—22no—
274C2×C4×C31—24no—
275C2×C4×C31—22no—
276C2×C4×C31—22no—
277C2×C4×C31—21no—
278C2×C4×C31—22no—
279C2×C4×C31—21no—
280C2×C4×C31—22no—
281C2×C4×C31—21no—
282C2×C4×C31—22no—
283C2×C4×C31—21no—
284C2×C4×C31—21no—
285C2×C4×C31—42no—
286C2×C4×C31—41no—
287C2×C4×C31—44no—
288C2×C4×C31—41no—
289C2×C4×C31—41no—
290C2×C4×C31—42no—
291C2×C4×C31—41no—
292C2×C4×C31—41no—
293C2×C4×C31—44no—
294C2×C4×C31—42no—
295C2×C4×C31—44no—
296C2×C4×C31—41no—
297C2×C4×C31—41no—
298C2×C4×C31—41no—
299C2×C4×C31—41no—
300C2×C4×C31—41no—
301C2×C4×C31—81no—
302C2×C4×C31—81no—
303C2×C4×C31—82no—
304C2×C4×C31—81no—
305C2×C4×C31#12011yescharacteristic
306C2×C4×C31#12011yescharacteristic
307C2×C4×C31C22×D412yes—
308C8×C31—42no—
309C8×C31—42no—
310#3459C2×C3111yescharacteristic, complemented
311#3002C2×C3112yescomplemented
312#2388C2×C3111yescharacteristic, complemented
313#1603C2×C3112yescomplemented
314#1602C2×C3111yescharacteristic, complemented
315#1601C2×C3111yescharacteristic, complemented
316#1597C2×C3112yescomplemented
317#1596C2×C3111yescharacteristic, complemented
318#1595C2×C3111yescharacteristic, complemented
319#1501C2×C3112yescomplemented
320#1459C2×C3111yescharacteristic, complemented
321C22×C31—21no—
322C22×C31—21no—
323C22×C31—22no—
324C22×C31—22no—
325C22×C31—22no—
326C22×C31—22no—
327C22×C31—42no—
328C22×C31—42no—
329C22×C31—42no—
330C22×C31—41no—
331C22×C31—41no—
332C22×C31—42no—
333C22×C31—42no—
334C22×C31—42no—
335C22×C31—42no—
336C22×C31—81no—
337C22×C31—81no—
338C22×C31—81no—
339C22×C31—81no—
340C22×C31—81no—
341C22×C31—84no—
342C22×C31—81no—
343C22×C31—81no—
344C22×C31C2×#12011yescharacteristic
345C22×C31C2×#13511yescharacteristic
346C22×C31#57511yescharacteristic
347C4×C31—22no—
348C4×C31—21no—
349C4×C31—42no—
350C4×C31—41no—
351C4×C31—42no—
352C4×C31—41no—
353C4×C31—42no—
354C4×C31—42no—
355C4×C31—41no—
356C4×C31—42no—
357C4×C31—81no—
358C4×C31B(4,𝔽2)12yes—
359C22×#41C22×C3111yescharacteristic, complemented
360C2×#135—22no—
361#543C22×C3111yescharacteristic
362#539—22no—
363#539C22×C3112yes—
364#538—22no—
365#538—21no—
366#534—21no—
367#534C22×C3111yescharacteristic
368#529—22no—
369#529—21no—
370#525—22no—
371#525C22×C3112yes—
372C2×C4×D4—21no—
373C2×C4×D4—21no—
374C2×C4×D4C22×C3111yescharacteristic
375#452—22no—
376#451C22×C3112yescomplemented
377#450C22×C3112yescomplemented
378#449—22no—
379#448C22×C3112yes—
380#447C22×C3112yes—
381#416—22no—
382C2×C22⋊C8C22×C3112yescomplemented
383#395C22×C3111yescharacteristic, complemented
384#394—21no—
385#394C22×C3111yescharacteristic, complemented
386#393C22×C3111yescharacteristic
387#392—21no—
388#392C22×C3111yescharacteristic
389C4×C22⋊C4—21no—
390C4×C22⋊C4C22×C3111yescharacteristic, complemented
391#328C22×C3112yescomplemented
392#328C22×C3112yescomplemented
393#327C22×C3112yes—
394#327C22×C3112yes—
395#324C22×C3112yescomplemented
396#323C22×C3111yescharacteristic
397#323C22×C3111yescharacteristic
398C2×C31—21no—
399C2×C31—21no—
400C2×C31—42no—
401C2×C31—42no—
402C2×C31—82no—
403C2×C31—82no—
404C2×C31#300211yescharacteristic
405C2×C31#301811yescharacteristic
406C2×C31C2×B(4,𝔽2)11yescharacteristic
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—44no—
410C2×#41D4×C3112yescomplemented
411C22×Q8C23×C3111yescharacteristic
412C22×D4—21no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4D4×C3111yescharacteristic
416C22×D4C23×C3111yescharacteristic
417C23×C4—21no—
418C23×C4—21no—
419C23×C4D4×C3111yescharacteristic
420C23×C4C23×C3111yescharacteristic
421#135—48no—
422C2×Q16—22no—
423C2×SD16—22no—
424C2×SD16—22no—
425C2×D8—22no—
426C22×C8—22no—
427#126—22no—
428#126—22no—
429#126—22no—
430#125—21no—
431#125—22no—
432#124—22no—
433#124—21no—
434#123—22no—
435#123—22no—
436#123—22no—
437#123—22no—
438#123—22no—
439#123—22no—
440C22⋊Q8—22no—
441C22⋊Q8—22no—
442C22⋊Q8—21no—
443C22⋊Q8—22no—
444C22⋊Q8D4×C3112yescomplemented
445C22⋊Q8C23×C3112yes—
446#121—22no—
447#121—22no—
448#121—22no—
449#121—21no—
450#121D4×C3112yescomplemented
451#121C23×C3112yes—
452#120—22no—
453#120—22no—
454#120—22no—
455C4×Q8—21no—
456C4×D4—22no—
457C4×D4—22no—
458C4×D4—21no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—22no—
464C4×D4—44no—
465#117—22no—
466#117D4×C3112yescomplemented
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4C23×C3111yescharacteristic
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4D4×C3111yescharacteristic
478C2×C22⋊C4C23×C3111yescharacteristic
479C2×C42—21no—
480C2×C42—21no—
481C2×C42D4×C3111yescharacteristic
482#103—22no—
483#103—22no—
484#102—22no—
485#102—22no—
486C22⋊C8—22no—
487C22⋊C8C23×C3112yes—
488C22⋊C8C23×C3112yes—
489#95—21no—
490#95—21no—
491#95C23×C3111yescharacteristic
492#95C23×C3111yescharacteristic
493C31#1810011yescharacteristic, direct product factor, Sylow
494C24—21no—
495C24—21no—
496C24C2×D4×C3111yescharacteristic
497C24C2×D4×C3111yescharacteristic
498#41—28no—
499#41—44no—
500#41—44no—
501#41—44no—
502#41—44no—
503C2×Q8—21no—
504C2×Q8—22no—
505C2×Q8—42no—
506C2×Q8C2×D4×C3112yes—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—41no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4C2×D4×C3112yes—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—41no—
541C22×C4—41no—
542C22×C4—82no—
543C22×C4C2×D4×C3111yescharacteristic
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4C2×D4×C3112yes—
546C22×C4C2×D4×C3111yescharacteristic
547C22×C4C2×D4×C3111yescharacteristic
548C22×C4C2×D4×C3112yes—
549C22×C4C24×C3111yescharacteristic
550Q16—44no—
551SD16—44no—
552SD16—44no—
553D8—44no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—44no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—42no—
567C4⋊C4C2×D4×C3112yes—
568C4⋊C4C2×D4×C3112yes—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C42—22no—
587C42—22no—
588C42—21no—
589C42—21no—
590C42—42no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—81no—
609C23—81no—
610C23C31×#12012yes—
611C23C31×#13512yescomplemented
612C23C22×D4×C3111yescharacteristic
613Q8—24no—
614Q8—42no—
615Q8—42no—
616Q8—81no—
617D4—24no—
618D4—42no—
619D4—42no—
620D4—44no—
621D4—44no—
622D4—48no—
623D4—48no—
624D4—42no—
625D4—42no—
626D4—82no—
627D4—82no—
628D4—81no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—42no—
642C2×C4—41no—
643C2×C4—44no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—44no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—81no—
658C2×C4—81no—
659C2×C4—82no—
660C2×C4—81no—
661C2×C4C31×#12011yescharacteristic
662C2×C4C31×#12011yescharacteristic
663C2×C4C22×D4×C3112yes—
664C8—42no—
665C8—42no—
666C22—21no—
667C22—21no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—84no—
687C22—81no—
688C22—81no—
689C22C2×C31×#12011yescharacteristic
690C22C2×C31×#13511yescharacteristic
691C22C31×#57511yescharacteristic
692C4—22no—
693C4—21no—
694C4—42no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—42no—
699C4—42no—
700C4—41no—
701C4—42no—
702C4—81no—
703C4C31×B(4,𝔽2)12yes—
704C2—21no—
705C2—21no—
706C2—42no—
707C2—42no—
708C2—82no—
709C2—82no—
710C2C31×#300211yescharacteristic
711C2C31×#301811yescharacteristic
712C2C2×C31×B(4,𝔽2)11yescharacteristic
subgroupG/H
centerC2×C4×C31#120
commutator, Frattini, cosocleC22×C4C24×C31
socleC22×C31C2×#120
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3459C2semidirect
2. C31×#3002C2semidirect
3. C31×#2388C2semidirect
4. C31×#1603C2semidirect
5. C31×#1602C2semidirect
6. C31×#1601C2semidirect
7. C31×#1597C2semidirect
8. C31×#1596C2semidirect
9. C31×#1595C2semidirect
10. C31×#1501C2semidirect
11. C31×#1459C2semidirect
12. C22×#41×C31C22semidirect
29. C31×#451C22semidirect
30. C31×#450C22semidirect
35. C2×C31×C22⋊C8C22semidirect
36. C31×#395C22semidirect
38. C31×#394C22semidirect
43. C4×C22⋊C4×C31C22semidirect
44. C31×#328C22semidirect
45. C31×#328C22semidirect
48. C31×#324C22semidirect
54. C2×#41×C31D4semidirect
88. C31×C22⋊Q8D4semidirect
94. C31×#121D4semidirect
110. C31×#117D4semidirect
234. #18100C31direct (N × H)
255. C23×C31#135semidirect
310. #3459C2×C31semidirect
311. #3002C2×C31semidirect
312. #2388C2×C31semidirect
313. #1603C2×C31semidirect
314. #1602C2×C31semidirect
315. #1601C2×C31semidirect
316. #1597C2×C31semidirect
317. #1596C2×C31semidirect
318. #1595C2×C31semidirect
319. #1501C2×C31semidirect
320. #1459C2×C31semidirect
359. C22×#41C22×C31semidirect
376. #451C22×C31semidirect
377. #450C22×C31semidirect
382. C2×C22⋊C8C22×C31semidirect
383. #395C22×C31semidirect
385. #394C22×C31semidirect
390. C4×C22⋊C4C22×C31semidirect
391. #328C22×C31semidirect
392. #328C22×C31semidirect
395. #324C22×C31semidirect
410. C2×#41D4×C31semidirect
444. C22⋊Q8D4×C31semidirect
450. #121D4×C31semidirect
466. #117D4×C31semidirect
493. C31#18100direct (N × H)
611. C23C31×#135semidirect

Maximal subgroups

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

subgroupindex
C31×#34592
C31×#30022
C31×#23882
C31×#16032
C31×#16022
C31×#16012
C31×#15972
C31×#15962
C31×#15952
C31×#15012
C31×#14592
#1810031