Finite Group Databasebeta

← C31×#18355 #21475114

Subgroups — C31×#18355 #21475114

Order 7936.

972 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3505C211yesmaximal, characteristic
2C31×#3195C211yesmaximal, characteristic, complemented
3C31×#3193C211yesmaximal, characteristic, complemented
4C31×#2638C211yesmaximal, characteristic, complemented
5C31×#1612C212yesmaximal, complemented
6C31×#1609C212yesmaximal, complemented
7C31×#1606C212yesmaximal, complemented
8C31×#1603C212yesmaximal, complemented
9C31×#1511C211yesmaximal, characteristic, complemented
10C31×#1510C211yesmaximal, characteristic, complemented
11C31×#1465C211yesmaximal, characteristic, complemented
12C31×#553—22no—
13C31×#553—21no—
14C31×#552—21no—
15C31×#551—22no—
16C31×#548—21no—
17C31×#546—21no—
18C31×#539C2212yes—
19C31×#538C2212yes—
20C31×#534—21no—
21C31×#529—21no—
22C31×#525—21no—
23C2×C31×C22⋊Q8C2211yescharacteristic
24C2×C31×C22⋊Q8C2211yescharacteristic
25C2×C31×#121C2211yescharacteristic
26C31×#518—21no—
27C2×C4×D4×C31C2211yescharacteristic
28C31×#484—21no—
29C31×#483—21no—
30C31×#483C2212yescomplemented
31C31×#480C2212yes—
32C31×#470—22no—
33C31×#468—22no—
34C31×#451—21no—
35C31×#451C2212yescomplemented
36C31×#450—21no—
37C31×#448C2212yes—
38C31×#407C2211yescharacteristic
39C31×#407C2211yescharacteristic
40C31×#398C2211yescharacteristic, complemented
41C31×#397—21no—
42C31×#397C2211yescharacteristic, complemented
43C31×#395C2211yescharacteristic, complemented
44C31×#394—21no—
45C31×#393C2211yescharacteristic, complemented
46C31×#387—21no—
47C31×#385—21no—
48C31×#381C2211yescharacteristic
49C31×#328C2212yescomplemented
50C31×#328C2212yescomplemented
51C31×#327C2212yes—
52C31×#327C2212yes—
53C31×#324C2212yescomplemented
54C31×#323C2212yescomplemented
55C2×#41×C31—21no—
56C22×Q8×C31D411yescharacteristic
57C22×Q8×C31C2311yescharacteristic
58C22×D4×C31—21no—
59C22×D4×C31D411yescharacteristic
60C22×D4×C31D411yescharacteristic
61C23×C4×C31D411yescharacteristic
62C23×C4×C31C2311yescharacteristic
63C2×Q16×C31—22no—
64C2×SD16×C31—22no—
65C2×M16×C31—21no—
66C2×M16×C31—21no—
67C31×#126—22no—
68C31×#126—22no—
69C31×#126—22no—
70C31×#125—21no—
71C31×#125—22no—
72C31×#124—21no—
73C31×#124—22no—
74C31×#123—22no—
75C31×#123—22no—
76C31×#123—22no—
77C31×#123—22no—
78C31×#123—22no—
79C31×C22⋊Q8—21no—
80C31×C22⋊Q8—22no—
81C31×C22⋊Q8—21no—
82C31×C22⋊Q8—21no—
83C31×C22⋊Q8—21no—
84C31×C22⋊Q8—21no—
85C31×C22⋊Q8—21no—
86C31×C22⋊Q8—21no—
87C31×C22⋊Q8D412yes—
88C31×C22⋊Q8C2312yes—
89C31×#121—21no—
90C31×#121—22no—
91C31×#121—22no—
92C31×#121—22no—
93C31×#121—21no—
94C31×#121—21no—
95C31×#121D412yes—
96C31×#121C2312yes—
97C31×#120—22no—
98C31×#120—22no—
99C4×Q8×C31—21no—
100C4×D4×C31—22no—
101C4×D4×C31—22no—
102C4×D4×C31—22no—
103C4×D4×C31—21no—
104C4×D4×C31—21no—
105C4×D4×C31—21no—
106C4×D4×C31—21no—
107C4×D4×C31—21no—
108C4×D4×C31—22no—
109C4×D4×C31—22no—
110C31×#117—22no—
111C31×#117—21no—
112C31×#117—22no—
113C2×C4⋊C4×C31—21no—
114C2×C4⋊C4×C31—21no—
115C2×C4⋊C4×C31—21no—
116C2×C4⋊C4×C31—21no—
117C2×C4⋊C4×C31D411yescharacteristic
118C2×C4⋊C4×C31D411yescharacteristic
119C2×C4⋊C4×C31C2311yescharacteristic
120C2×C4⋊C4×C31C2311yescharacteristic
121C2×C22⋊C4×C31—22no—
122C2×C22⋊C4×C31—21no—
123C2×C22⋊C4×C31—21no—
124C2×C22⋊C4×C31—21no—
125C2×C22⋊C4×C31—21no—
126C2×C22⋊C4×C31—21no—
127C2×C22⋊C4×C31—21no—
128C2×C22⋊C4×C31D411yescharacteristic
129C2×C22⋊C4×C31C2311yescharacteristic
130C2×C42×C31D411yescharacteristic
131C31×#107—22no—
132C31×#106—22no—
133C31×#103—22no—
134C31×#103—22no—
135C31×#103—22no—
136C31×#102—22no—
137C31×C22⋊C8—21no—
138C31×C22⋊C8—21no—
139C31×C22⋊C8C2312yes—
140C31×C22⋊C8C2312yes—
141C31×#95—21no—
142C31×#95—21no—
143C31×#95—21no—
144C31×#95—21no—
145C31×#95—21no—
146C31×#95C2311yescharacteristic
147C31×#95C2311yescharacteristic
148C24×C31—21no—
149C24×C31C2×D411yescharacteristic
150C24×C31C2×D411yescharacteristic
151#41×C31—82no—
152C2×Q8×C31—21no—
153C2×Q8×C31—21no—
154C2×Q8×C31—21no—
155C2×Q8×C31—81no—
156C2×Q8×C31—81no—
157C2×Q8×C31C2×D412yes—
158C2×D4×C31—21no—
159C2×D4×C31—21no—
160C2×D4×C31—22no—
161C2×D4×C31—22no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—21no—
165C2×D4×C31—41no—
166C2×D4×C31—41no—
167C2×D4×C31—42no—
168C2×D4×C31—42no—
169C2×D4×C31—81no—
170C2×D4×C31C2×D412yes—
171C22×C4×C31—21no—
172C22×C4×C31—22no—
173C22×C4×C31—22no—
174C22×C4×C31—21no—
175C22×C4×C31—21no—
176C22×C4×C31—21no—
177C22×C4×C31—21no—
178C22×C4×C31—21no—
179C22×C4×C31—21no—
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—81no—
183C22×C4×C31—81no—
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31C2×D411yescharacteristic
186C22×C4×C31C2×D411yescharacteristic
187C22×C4×C31C2×D411yescharacteristic
188C22×C4×C31C2×D411yescharacteristic
189C22×C4×C31C2×D411yescharacteristic
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D411yescharacteristic
192C22×C4×C31C2411yescharacteristic
193Q16×C31—82no—
194SD16×C31—82no—
195M16×C31—81no—
196M16×C31—81no—
197C2×C8×C31—22no—
198C2×C8×C31—22no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—22no—
201C4⋊C4×C31—22no—
202C4⋊C4×C31—22no—
203C4⋊C4×C31—22no—
204C4⋊C4×C31—21no—
205C4⋊C4×C31—21no—
206C4⋊C4×C31—22no—
207C4⋊C4×C31—21no—
208C4⋊C4×C31—21no—
209C4⋊C4×C31—21no—
210C4⋊C4×C31—21no—
211C4⋊C4×C31—42no—
212C4⋊C4×C31—41no—
213C4⋊C4×C31—41no—
214C4⋊C4×C31—81no—
215C4⋊C4×C31C2×D412yes—
216C4⋊C4×C31C2×D412yes—
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—21no—
224C22⋊C4×C31—22no—
225C22⋊C4×C31—21no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—22no—
229C22⋊C4×C31—21no—
230C22⋊C4×C31—21no—
231C22⋊C4×C31—42no—
232C22⋊C4×C31—41no—
233C22⋊C4×C31—41no—
234C22⋊C4×C31—81no—
235C22⋊C4×C31—81no—
236C42×C31—22no—
237C42×C31—22no—
238C42×C31—21no—
239C42×C31—21no—
240#18355C3111yesmaximal, characteristic, direct product factor, Sylow
241C23×C31—21no—
242C23×C31—21no—
243C23×C31—21no—
244C23×C31—22no—
245C23×C31—21no—
246C23×C31—21no—
247C23×C31—41no—
248C23×C31—41no—
249C23×C31—41no—
250C23×C31—41no—
251C23×C31—42no—
252C23×C31—81no—
253C23×C31—81no—
254C23×C31#12011yescharacteristic
255C23×C31#12011yescharacteristic
256C23×C31C22×D411yescharacteristic
257Q8×C31—42no—
258Q8×C31—42no—
259Q8×C31—42no—
260Q8×C31—42no—
261D4×C31—42no—
262D4×C31—42no—
263D4×C31—42no—
264D4×C31—42no—
265D4×C31—44no—
266D4×C31—42no—
267D4×C31—42no—
268D4×C31—82no—
269D4×C31—82no—
270C2×C4×C31—21no—
271C2×C4×C31—21no—
272C2×C4×C31—22no—
273C2×C4×C31—21no—
274C2×C4×C31—22no—
275C2×C4×C31—22no—
276C2×C4×C31—21no—
277C2×C4×C31—21no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—41no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—41no—
287C2×C4×C31—41no—
288C2×C4×C31—41no—
289C2×C4×C31—41no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
292C2×C4×C31—41no—
293C2×C4×C31—41no—
294C2×C4×C31—41no—
295C2×C4×C31—41no—
296C2×C4×C31—41no—
297C2×C4×C31—41no—
298C2×C4×C31—41no—
299C2×C4×C31—41no—
300C2×C4×C31—81no—
301C2×C4×C31—81no—
302C2×C4×C31—81no—
303C2×C4×C31—82no—
304C2×C4×C31—82no—
305C2×C4×C31#12011yescharacteristic
306C2×C4×C31#12011yescharacteristic
307C2×C4×C31C22×D411yescharacteristic
308C2×C4×C31C22×D411yescharacteristic
309C8×C31—42no—
310C8×C31—42no—
311#3505C2×C3111yescharacteristic
312#3195C2×C3111yescharacteristic, complemented
313#3193C2×C3111yescharacteristic, complemented
314#2638C2×C3111yescharacteristic, complemented
315#1612C2×C3112yescomplemented
316#1609C2×C3112yescomplemented
317#1606C2×C3112yescomplemented
318#1603C2×C3112yescomplemented
319#1511C2×C3111yescharacteristic, complemented
320#1510C2×C3111yescharacteristic, complemented
321#1465C2×C3111yescharacteristic, complemented
322C22×C31—21no—
323C22×C31—21no—
324C22×C31—21no—
325C22×C31—21no—
326C22×C31—21no—
327C22×C31—21no—
328C22×C31—21no—
329C22×C31—21no—
330C22×C31—42no—
331C22×C31—41no—
332C22×C31—42no—
333C22×C31—42no—
334C22×C31—41no—
335C22×C31—41no—
336C22×C31—42no—
337C22×C31—81no—
338C22×C31—81no—
339C22×C31—81no—
340C22×C31—162no—
341C22×C31C2×#12011yescharacteristic
342C22×C31#57511yescharacteristic
343C22×C31#57511yescharacteristic
344C4×C31—21no—
345C4×C31—21no—
346C4×C31—21no—
347C4×C31—21no—
348C4×C31—41no—
349C4×C31—42no—
350C4×C31—41no—
351C4×C31—42no—
352C4×C31—41no—
353C4×C31—42no—
354C4×C31—81no—
355C4×C31—81no—
356C4×C31—81no—
357C4×C31—81no—
358#553—22no—
359#553—21no—
360#552—21no—
361#551—22no—
362#548—21no—
363#546—21no—
364#539C22×C3112yes—
365#538C22×C3112yes—
366#534—21no—
367#529—21no—
368#525—21no—
369C2×C22⋊Q8C22×C3111yescharacteristic
370C2×C22⋊Q8C22×C3111yescharacteristic
371C2×#121C22×C3111yescharacteristic
372#518—21no—
373C2×C4×D4C22×C3111yescharacteristic
374#484—21no—
375#483—21no—
376#483C22×C3112yescomplemented
377#480C22×C3112yes—
378#470—22no—
379#468—22no—
380#451—21no—
381#451C22×C3112yescomplemented
382#450—21no—
383#448C22×C3112yes—
384#407C22×C3111yescharacteristic
385#407C22×C3111yescharacteristic
386#398C22×C3111yescharacteristic, complemented
387#397—21no—
388#397C22×C3111yescharacteristic, complemented
389#395C22×C3111yescharacteristic, complemented
390#394—21no—
391#393C22×C3111yescharacteristic, complemented
392#387—21no—
393#385—21no—
394#381C22×C3111yescharacteristic
395#328C22×C3112yescomplemented
396#328C22×C3112yescomplemented
397#327C22×C3112yes—
398#327C22×C3112yes—
399#324C22×C3112yescomplemented
400#323C22×C3112yescomplemented
401C2×C31—21no—
402C2×C31—21no—
403C2×C31—41no—
404C2×C31—41no—
405C2×C31—81no—
406C2×C31—82no—
407C2×C31#300511yescharacteristic
408C2×C31#302211yescharacteristic
409C2×C31#302611yescharacteristic
410C2×#41—21no—
411C22×Q8D4×C3111yescharacteristic
412C22×Q8C23×C3111yescharacteristic
413C22×D4—21no—
414C22×D4D4×C3111yescharacteristic
415C22×D4D4×C3111yescharacteristic
416C23×C4D4×C3111yescharacteristic
417C23×C4C23×C3111yescharacteristic
418C2×Q16—22no—
419C2×SD16—22no—
420C2×M16—21no—
421C2×M16—21no—
422#126—22no—
423#126—22no—
424#126—22no—
425#125—21no—
426#125—22no—
427#124—21no—
428#124—22no—
429#123—22no—
430#123—22no—
431#123—22no—
432#123—22no—
433#123—22no—
434C22⋊Q8—21no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8D4×C3112yes—
443C22⋊Q8C23×C3112yes—
444#121—21no—
445#121—22no—
446#121—22no—
447#121—22no—
448#121—21no—
449#121—21no—
450#121D4×C3112yes—
451#121C23×C3112yes—
452#120—22no—
453#120—22no—
454C4×Q8—21no—
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—22no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—22no—
464C4×D4—22no—
465#117—22no—
466#117—21no—
467#117—22no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4D4×C3111yescharacteristic
473C2×C4⋊C4D4×C3111yescharacteristic
474C2×C4⋊C4C23×C3111yescharacteristic
475C2×C4⋊C4C23×C3111yescharacteristic
476C2×C22⋊C4—22no—
477C2×C22⋊C4—21no—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4D4×C3111yescharacteristic
484C2×C22⋊C4C23×C3111yescharacteristic
485C2×C42D4×C3111yescharacteristic
486#107—22no—
487#106—22no—
488#103—22no—
489#103—22no—
490#103—22no—
491#102—22no—
492C22⋊C8—21no—
493C22⋊C8—21no—
494C22⋊C8C23×C3112yes—
495C22⋊C8C23×C3112yes—
496#95—21no—
497#95—21no—
498#95—21no—
499#95—21no—
500#95—21no—
501#95C23×C3111yescharacteristic
502#95C23×C3111yescharacteristic
503C31#1835511yescharacteristic, direct product factor, Sylow
504C24—21no—
505C24C2×D4×C3111yescharacteristic
506C24C2×D4×C3111yescharacteristic
507#41—82no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—81no—
512C2×Q8—81no—
513C2×Q8C2×D4×C3112yes—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—81no—
526C2×D4C2×D4×C3112yes—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—81no—
539C22×C4—81no—
540C22×C4C2×D4×C3111yescharacteristic
541C22×C4C2×D4×C3111yescharacteristic
542C22×C4C2×D4×C3111yescharacteristic
543C22×C4C2×D4×C3111yescharacteristic
544C22×C4C2×D4×C3111yescharacteristic
545C22×C4C2×D4×C3111yescharacteristic
546C22×C4C2×D4×C3111yescharacteristic
547C22×C4C2×D4×C3111yescharacteristic
548C22×C4C24×C3111yescharacteristic
549Q16—82no—
550SD16—82no—
551M16—81no—
552M16—81no—
553C2×C8—22no—
554C2×C8—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—81no—
571C4⋊C4C2×D4×C3112yes—
572C4⋊C4C2×D4×C3112yes—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—21no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—42no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—81no—
591C22⋊C4—81no—
592C42—22no—
593C42—22no—
594C42—21no—
595C42—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23C31×#12011yescharacteristic
610C23C31×#12011yescharacteristic
611C23C22×D4×C3111yescharacteristic
612Q8—42no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616D4—42no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—44no—
621D4—42no—
622D4—42no—
623D4—82no—
624D4—82no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—81no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4—82no—
659C2×C4—82no—
660C2×C4C31×#12011yescharacteristic
661C2×C4C31×#12011yescharacteristic
662C2×C4C22×D4×C3111yescharacteristic
663C2×C4C22×D4×C3111yescharacteristic
664C8—42no—
665C8—42no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—42no—
675C22—41no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—162no—
685C22C2×C31×#12011yescharacteristic
686C22C31×#57511yescharacteristic
687C22C31×#57511yescharacteristic
688C4—21no—
689C4—21no—
690C4—21no—
691C4—21no—
692C4—41no—
693C4—42no—
694C4—41no—
695C4—42no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—81no—
702C2—21no—
703C2—21no—
704C2—41no—
705C2—41no—
706C2—81no—
707C2—82no—
708C2C31×#300511yescharacteristic
709C2C31×#302211yescharacteristic
710C2C31×#302611yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#3505C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#3195C2semidirect
3. C31×#3193C2semidirect
4. C31×#2638C2semidirect
5. C31×#1612C2semidirect
6. C31×#1609C2semidirect
7. C31×#1606C2semidirect
8. C31×#1603C2semidirect
9. C31×#1511C2semidirect
10. C31×#1510C2semidirect
11. C31×#1465C2semidirect
30. C31×#483C22semidirect
35. C31×#451C22semidirect
40. C31×#398C22semidirect
42. C31×#397C22semidirect
43. C31×#395C22semidirect
45. C31×#393C22semidirect
49. C31×#328C22semidirect
50. C31×#328C22semidirect
53. C31×#324C22semidirect
54. C31×#323C22semidirect
240. #18355C31direct (N × H)
312. #3195C2×C31semidirect
313. #3193C2×C31semidirect
314. #2638C2×C31semidirect
315. #1612C2×C31semidirect
316. #1609C2×C31semidirect
317. #1606C2×C31semidirect
318. #1603C2×C31semidirect
319. #1511C2×C31semidirect
320. #1510C2×C31semidirect
321. #1465C2×C31semidirect
376. #483C22×C31semidirect
381. #451C22×C31semidirect
386. #398C22×C31semidirect
388. #397C22×C31semidirect
389. #395C22×C31semidirect
391. #393C22×C31semidirect
395. #328C22×C31semidirect
396. #328C22×C31semidirect
399. #324C22×C31semidirect
400. #323C22×C31semidirect
503. C31#18355direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35052
C31×#31952
C31×#31932
C31×#26382
C31×#16122
C31×#16092
C31×#16062
C31×#16032
C31×#15112
C31×#15102
C31×#14652
#1835531