Finite Group Databasebeta

← C31×#8467 #21465226

Subgroups — C31×#8467 #21465226

Order 7936.

1004 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3489C211yesmaximal, characteristic
2C31×#1996C211yesmaximal, characteristic, complemented
3C31×#1789C211yesmaximal, characteristic, complemented
4C31×#1788C211yesmaximal, characteristic, complemented
5C31×#1513C211yesmaximal, characteristic, complemented
6C31×#1501C211yesmaximal, characteristic, complemented
7C31×#1472C211yesmaximal, characteristic, complemented
8C2×C31×2−1+4C411yescharacteristic, complemented
9C22×#41×C31C2211yescharacteristic
10D4×Q8×C31—21no—
11C31×#548—21no—
12C31×#547—21no—
13C31×#547—22no—
14C31×#546—21no—
15C31×#546—22no—
16C31×#537—21no—
17C31×#537C411yescharacteristic, complemented
18C31×#536—21no—
19C31×#536C411yescharacteristic, complemented
20C31×#525—21no—
21C31×#525C2211yescharacteristic
22C2×C31×C22⋊Q8—21no—
23C2×C31×C22⋊Q8C2211yescharacteristic
24C31×#520C411yescharacteristic, complemented
25C2×C31×#104—21no—
26C2×C31×#104—21no—
27C2×C31×#103—21no—
28C2×C31×#102—21no—
29C31×#407C2211yescharacteristic
30C2×C31×C22⋊C8C2211yescharacteristic
31C31×#380C2211yescharacteristic
32C4×C22⋊C4×C31C2211yescharacteristic
33C31×#342—22no—
34C31×#328—21no—
35C31×#328—21no—
36C31×#327—21no—
37C31×#327—21no—
38C31×#324—22no—
39C31×2−1+4—42no—
40C31×2−1+4—42no—
41C2×#41×C31—21no—
42C2×#41×C31—21no—
43C2×#41×C31—22no—
44C2×#41×C31—21no—
45C2×#41×C31—21no—
46C2×#41×C31—42no—
47C2×#41×C31—42no—
48C2×#41×C31C2×C411yescharacteristic
49C2×#41×C31C2×C411yescharacteristic
50C2×#41×C31C2×C411yescharacteristic
51C2×#41×C31D411yescharacteristic
52C2×#41×C31D411yescharacteristic
53C22×Q8×C31—21no—
54C22×Q8×C31—21no—
55C22×Q8×C31C2×C411yescharacteristic
56C22×Q8×C31D411yescharacteristic
57C22×D4×C31—21no—
58C22×D4×C31D411yescharacteristic
59C23×C4×C31—21no—
60C23×C4×C31C2311yescharacteristic
61C2×M16×C31—21no—
62C22×C8×C31—21no—
63C31×C4⋊Q8—22no—
64C31×C4⋊Q8—21no—
65C31×#124—22no—
66C31×#124—21no—
67C31×#123—22no—
68C31×#123—22no—
69C31×#123—22no—
70C31×#123—22no—
71C31×#123—21no—
72C31×C22⋊Q8—22no—
73C31×C22⋊Q8—22no—
74C31×C22⋊Q8—22no—
75C31×C22⋊Q8—21no—
76C31×C22⋊Q8—21no—
77C31×C22⋊Q8—21no—
78C31×C22⋊Q8—21no—
79C31×C22⋊Q8—21no—
80C31×C22⋊Q8—21no—
81C31×C22⋊Q8—21no—
82C31×C22⋊Q8—21no—
83C31×C22⋊Q8D411yescharacteristic
84C31×C22⋊Q8D411yescharacteristic
85C31×#121—22no—
86C31×#121—22no—
87C31×#121—22no—
88C31×#121—21no—
89C31×#121—21no—
90C31×#121—22no—
91C31×#121D411yescharacteristic
92C31×#121D411yescharacteristic
93C31×#120—22no—
94C31×#120—21no—
95C4×Q8×C31—21no—
96C4×D4×C31—22no—
97C4×D4×C31—22no—
98C4×D4×C31—21no—
99C4×D4×C31—22no—
100C4×D4×C31—21no—
101C4×D4×C31—21no—
102C31×#117—21no—
103C31×#117C2×C411yescharacteristic
104C2×C4⋊C4×C31—22no—
105C2×C4⋊C4×C31—21no—
106C2×C4⋊C4×C31—21no—
107C2×C4⋊C4×C31C2×C411yescharacteristic
108C2×C4⋊C4×C31D412yes—
109C2×C22⋊C4×C31—22no—
110C2×C22⋊C4×C31—21no—
111C2×C22⋊C4×C31—21no—
112C2×C22⋊C4×C31D412yes—
113C2×C42×C31—21no—
114C31×#104—42no—
115C31×#104—42no—
116C31×#103—42no—
117C31×#102—42no—
118C31×C22⋊C8—21no—
119C31×C22⋊C8—21no—
120C31×C22⋊C8—21no—
121C31×C22⋊C8—21no—
122C31×#95—21no—
123C31×#95—21no—
124C24×C31—21no—
125C24×C31C2×D411yescharacteristic
126#41×C31—22no—
127#41×C31—22no—
128#41×C31—22no—
129#41×C31—22no—
130#41×C31—41no—
131#41×C31—41no—
132#41×C31—41no—
133#41×C31—41no—
134#41×C31—44no—
135#41×C31—44no—
136#41×C31—41no—
137#41×C31—41no—
138#41×C31—44no—
139#41×C31—48no—
140#41×C31—42no—
141#41×C31—42no—
142C2×Q8×C31—22no—
143C2×Q8×C31—21no—
144C2×Q8×C31—21no—
145C2×Q8×C31—21no—
146C2×Q8×C31—22no—
147C2×Q8×C31—41no—
148C2×Q8×C31—44no—
149C2×Q8×C31—41no—
150C2×Q8×C31—41no—
151C2×Q8×C31—42no—
152C2×Q8×C31—42no—
153C2×Q8×C31C22⋊C411yescharacteristic
154C2×Q8×C31C22⋊C411yescharacteristic
155C2×Q8×C31C22⋊C411yescharacteristic
156C2×D4×C31—21no—
157C2×D4×C31—22no—
158C2×D4×C31—22no—
159C2×D4×C31—21no—
160C2×D4×C31—21no—
161C2×D4×C31—21no—
162C2×D4×C31—21no—
163C2×D4×C31—21no—
164C2×D4×C31—22no—
165C2×D4×C31—21no—
166C2×D4×C31—21no—
167C2×D4×C31—41no—
168C2×D4×C31—44no—
169C2×D4×C31C22⋊C411yescharacteristic
170C2×D4×C31C22⋊C411yescharacteristic
171C2×D4×C31C22⋊C411yescharacteristic
172C22×C4×C31—21no—
173C22×C4×C31—22no—
174C22×C4×C31—22no—
175C22×C4×C31—21no—
176C22×C4×C31—22no—
177C22×C4×C31—21no—
178C22×C4×C31—21no—
179C22×C4×C31—21no—
180C22×C4×C31—21no—
181C22×C4×C31—41no—
182C22×C4×C31—41no—
183C22×C4×C31—44no—
184C22×C4×C31—41no—
185C22×C4×C31—41no—
186C22×C4×C31C22⋊C412yes—
187C22×C4×C31C22⋊C412yes—
188C22×C4×C31C22×C411yescharacteristic
189C22×C4×C31C2×D411yescharacteristic
190C22×C4×C31C2×D411yescharacteristic
191C22×C4×C31C2×D411yescharacteristic
192C22×C4×C31C2×D411yescharacteristic
193C22×C4×C31C2×D411yescharacteristic
194M16×C31—41no—
195M16×C31—41no—
196C2×C8×C31—41no—
197C2×C8×C31—41no—
198C2×C8×C31—41no—
199C2×C8×C31—41no—
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—21no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31—21no—
210C4⋊C4×C31—41no—
211C4⋊C4×C31—41no—
212C4⋊C4×C31C22⋊C411yescharacteristic
213C4⋊C4×C31C22⋊C411yescharacteristic
214C22⋊C4×C31—22no—
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—21no—
220C22⋊C4×C31—21no—
221C22⋊C4×C31—22no—
222C22⋊C4×C31—22no—
223C22⋊C4×C31—21no—
224C22⋊C4×C31—21no—
225C22⋊C4×C31—21no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—41no—
228C22⋊C4×C31—42no—
229C42×C31—22no—
230C42×C31—21no—
231C42×C31—41no—
232C42×C31—41no—
233#8467C3111yesmaximal, characteristic, direct product factor, Sylow
234C23×C31—21no—
235C23×C31—21no—
236C23×C31—21no—
237C23×C31—21no—
238C23×C31—21no—
239C23×C31—41no—
240C23×C31—41no—
241C23×C31—42no—
242C23×C31—41no—
243C23×C31—41no—
244C23×C31—81no—
245C23×C31C2×C22⋊C411yescharacteristic
246C23×C31#12011yescharacteristic
247C23×C31#12011yescharacteristic
248Q8×C31—21no—
249Q8×C31—21no—
250Q8×C31—21no—
251Q8×C31—42no—
252Q8×C31—41no—
253Q8×C31—42no—
254Q8×C31—44no—
255Q8×C31—41no—
256Q8×C31—41no—
257Q8×C31#9912yes—
258D4×C31—24no—
259D4×C31—21no—
260D4×C31—21no—
261D4×C31—21no—
262D4×C31—42no—
263D4×C31—42no—
264D4×C31—41no—
265D4×C31—42no—
266D4×C31—42no—
267D4×C31—42no—
268D4×C31—44no—
269D4×C31—41no—
270D4×C31—41no—
271D4×C31—81no—
272D4×C31—82no—
273D4×C31#9912yes—
274C2×C4×C31—24no—
275C2×C4×C31—21no—
276C2×C4×C31—21no—
277C2×C4×C31—21no—
278C2×C4×C31—21no—
279C2×C4×C31—21no—
280C2×C4×C31—21no—
281C2×C4×C31—21no—
282C2×C4×C31—21no—
283C2×C4×C31—22no—
284C2×C4×C31—21no—
285C2×C4×C31—21no—
286C2×C4×C31—22no—
287C2×C4×C31—21no—
288C2×C4×C31—41no—
289C2×C4×C31—41no—
290C2×C4×C31—41no—
291C2×C4×C31—42no—
292C2×C4×C31—42no—
293C2×C4×C31—42no—
294C2×C4×C31—42no—
295C2×C4×C31—44no—
296C2×C4×C31—44no—
297C2×C4×C31—41no—
298C2×C4×C31—41no—
299C2×C4×C31—42no—
300C2×C4×C31—42no—
301C2×C4×C31—42no—
302C2×C4×C31—82no—
303C2×C4×C31—81no—
304C2×C4×C31—81no—
305C2×C4×C31—81no—
306C2×C4×C31—81no—
307C2×C4×C31—81no—
308C2×C4×C31C2×C22⋊C411yescharacteristic
309C2×C4×C31C2×C22⋊C411yescharacteristic
310C2×C4×C31#12011yescharacteristic
311C2×C4×C31#12011yescharacteristic
312C8×C31—81no—
313C8×C31—81no—
314#3489C2×C3111yescharacteristic
315#1996C2×C3111yescharacteristic, complemented
316#1789C2×C3111yescharacteristic, complemented
317#1788C2×C3111yescharacteristic, complemented
318#1513C2×C3111yescharacteristic, complemented
319#1501C2×C3111yescharacteristic, complemented
320#1472C2×C3111yescharacteristic, complemented
321C22×C31—21no—
322C22×C31—21no—
323C22×C31—21no—
324C22×C31—21no—
325C22×C31—21no—
326C22×C31—21no—
327C22×C31—21no—
328C22×C31—22no—
329C22×C31—21no—
330C22×C31—41no—
331C22×C31—41no—
332C22×C31—41no—
333C22×C31—41no—
334C22×C31—41no—
335C22×C31—41no—
336C22×C31—41no—
337C22×C31—41no—
338C22×C31—81no—
339C22×C31—81no—
340C22×C31—82no—
341C22×C31—82no—
342C22×C31#37911yescharacteristic
343C22×C31#45411yescharacteristic
344C22×C31#45611yescharacteristic
345C4×C31—21no—
346C4×C31—21no—
347C4×C31—21no—
348C4×C31—22no—
349C4×C31—41no—
350C4×C31—42no—
351C4×C31—41no—
352C4×C31—41no—
353C4×C31—41no—
354C4×C31—42no—
355C4×C31—82no—
356C4×C31—161no—
357C4×C31C2×#9911yescharacteristic
358C4×C31C2×#9911yescharacteristic
359C2×2−1+4C4×C3111yescharacteristic, complemented
360C22×#41C22×C3111yescharacteristic
361D4×Q8—21no—
362#548—21no—
363#547—21no—
364#547—22no—
365#546—21no—
366#546—22no—
367#537—21no—
368#537C4×C3111yescharacteristic, complemented
369#536—21no—
370#536C4×C3111yescharacteristic, complemented
371#525—21no—
372#525C22×C3111yescharacteristic
373C2×C22⋊Q8—21no—
374C2×C22⋊Q8C22×C3111yescharacteristic
375#520C4×C3111yescharacteristic, complemented
376C2×#104—21no—
377C2×#104—21no—
378C2×#103—21no—
379C2×#102—21no—
380#407C22×C3111yescharacteristic
381C2×C22⋊C8C22×C3111yescharacteristic
382#380C22×C3111yescharacteristic
383C4×C22⋊C4C22×C3111yescharacteristic
384#342—22no—
385#328—21no—
386#328—21no—
387#327—21no—
388#327—21no—
389#324—22no—
390C2×C31—21no—
391C2×C31—21no—
392C2×C31—41no—
393C2×C31—41no—
394C2×C31—42no—
395C2×C31—81no—
396C2×C31—81no—
397C2×C31#178111yescharacteristic
398C2×C31#179311yescharacteristic
399C2×C31#179411yescharacteristic
4002−1+4—42no—
4012−1+4—42no—
402C2×#41—21no—
403C2×#41—21no—
404C2×#41—22no—
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—42no—
408C2×#41—42no—
409C2×#41C2×C4×C3111yescharacteristic
410C2×#41C2×C4×C3111yescharacteristic
411C2×#41C2×C4×C3111yescharacteristic
412C2×#41D4×C3111yescharacteristic
413C2×#41D4×C3111yescharacteristic
414C22×Q8—21no—
415C22×Q8—21no—
416C22×Q8C2×C4×C3111yescharacteristic
417C22×Q8D4×C3111yescharacteristic
418C22×D4—21no—
419C22×D4D4×C3111yescharacteristic
420C23×C4—21no—
421C23×C4C23×C3111yescharacteristic
422C2×M16—21no—
423C22×C8—21no—
424C4⋊Q8—22no—
425C4⋊Q8—21no—
426#124—22no—
427#124—21no—
428#123—22no—
429#123—22no—
430#123—22no—
431#123—22no—
432#123—21no—
433C22⋊Q8—22no—
434C22⋊Q8—22no—
435C22⋊Q8—22no—
436C22⋊Q8—21no—
437C22⋊Q8—21no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8D4×C3111yescharacteristic
445C22⋊Q8D4×C3111yescharacteristic
446#121—22no—
447#121—22no—
448#121—22no—
449#121—21no—
450#121—21no—
451#121—22no—
452#121D4×C3111yescharacteristic
453#121D4×C3111yescharacteristic
454#120—22no—
455#120—21no—
456C4×Q8—21no—
457C4×D4—22no—
458C4×D4—22no—
459C4×D4—21no—
460C4×D4—22no—
461C4×D4—21no—
462C4×D4—21no—
463#117—21no—
464#117C2×C4×C3111yescharacteristic
465C2×C4⋊C4—22no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4C2×C4×C3111yescharacteristic
469C2×C4⋊C4D4×C3112yes—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4D4×C3112yes—
474C2×C42—21no—
475#104—42no—
476#104—42no—
477#103—42no—
478#102—42no—
479C22⋊C8—21no—
480C22⋊C8—21no—
481C22⋊C8—21no—
482C22⋊C8—21no—
483#95—21no—
484#95—21no—
485C31#846711yescharacteristic, direct product factor, Sylow
486C24—21no—
487C24C2×D4×C3111yescharacteristic
488#41—22no—
489#41—22no—
490#41—22no—
491#41—22no—
492#41—41no—
493#41—41no—
494#41—41no—
495#41—41no—
496#41—44no—
497#41—44no—
498#41—41no—
499#41—41no—
500#41—44no—
501#41—48no—
502#41—42no—
503#41—42no—
504C2×Q8—22no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—22no—
509C2×Q8—41no—
510C2×Q8—41no—
511C2×Q8—41no—
512C2×Q8—44no—
513C2×Q8—42no—
514C2×Q8—42no—
515C2×Q8C22⋊C4×C3111yescharacteristic
516C2×Q8C22⋊C4×C3111yescharacteristic
517C2×Q8C22⋊C4×C3111yescharacteristic
518C2×D4—21no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—41no—
530C2×D4—44no—
531C2×D4C22⋊C4×C3111yescharacteristic
532C2×D4C22⋊C4×C3111yescharacteristic
533C2×D4C22⋊C4×C3111yescharacteristic
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4—44no—
546C22×C4—41no—
547C22×C4—41no—
548C22×C4C22⋊C4×C3112yes—
549C22×C4C22⋊C4×C3112yes—
550C22×C4C22×C4×C3111yescharacteristic
551C22×C4C2×D4×C3111yescharacteristic
552C22×C4C2×D4×C3111yescharacteristic
553C22×C4C2×D4×C3111yescharacteristic
554C22×C4C2×D4×C3111yescharacteristic
555C22×C4C2×D4×C3111yescharacteristic
556M16—41no—
557M16—41no—
558C2×C8—41no—
559C2×C8—41no—
560C2×C8—41no—
561C2×C8—41no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4C22⋊C4×C3111yescharacteristic
575C4⋊C4C22⋊C4×C3111yescharacteristic
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—22no—
589C22⋊C4—41no—
590C22⋊C4—42no—
591C42—22no—
592C42—21no—
593C42—41no—
594C42—41no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—41no—
605C23—81no—
606C23C2×C22⋊C4×C3111yescharacteristic
607C23C31×#12011yescharacteristic
608C23C31×#12011yescharacteristic
609Q8—21no—
610Q8—21no—
611Q8—21no—
612Q8—42no—
613Q8—41no—
614Q8—42no—
615Q8—44no—
616Q8—41no—
617Q8—41no—
618Q8C31×#9912yes—
619D4—24no—
620D4—21no—
621D4—21no—
622D4—21no—
623D4—42no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—44no—
630D4—41no—
631D4—41no—
632D4—81no—
633D4—82no—
634D4C31×#9912yes—
635C2×C4—24no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—82no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4C2×C22⋊C4×C3111yescharacteristic
670C2×C4C2×C22⋊C4×C3111yescharacteristic
671C2×C4C31×#12011yescharacteristic
672C2×C4C31×#12011yescharacteristic
673C8—81no—
674C8—81no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—22no—
679C22—21no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—81no—
693C22—81no—
694C22—82no—
695C22—82no—
696C22C31×#37911yescharacteristic
697C22C31×#45411yescharacteristic
698C22C31×#45611yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—22no—
703C4—41no—
704C4—41no—
705C4—42no—
706C4—41no—
707C4—42no—
708C4—41no—
709C4—82no—
710C4—161no—
711C4C2×C31×#9911yescharacteristic
712C4C2×C31×#9911yescharacteristic
713C2—21no—
714C2—21no—
715C2—41no—
716C2—41no—
717C2—42no—
718C2—81no—
719C2—81no—
720C2C31×#178111yescharacteristic
721C2C31×#179311yescharacteristic
722C2C31×#179411yescharacteristic
subgroupG/H
center, socleC22×C31#379
commutatorC22×C4C22×C4×C31
Frattini, cosocleC23×C4C23×C31
prime radicalC31×#3489C2
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×#1996C2semidirect
3. C31×#1789C2semidirect
4. C31×#1788C2semidirect
5. C31×#1513C2semidirect
6. C31×#1501C2semidirect
7. C31×#1472C2semidirect
8. C2×C31×2−1+4C4semidirect
17. C31×#537C4semidirect
19. C31×#536C4semidirect
24. C31×#520C4semidirect
233. #8467C31direct (N × H)
315. #1996C2×C31semidirect
316. #1789C2×C31semidirect
317. #1788C2×C31semidirect
318. #1513C2×C31semidirect
319. #1501C2×C31semidirect
320. #1472C2×C31semidirect
359. C2×2−1+4C4×C31semidirect
368. #537C4×C31semidirect
370. #536C4×C31semidirect
375. #520C4×C31semidirect
485. C31#8467direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34892
C31×#19962
C31×#17892
C31×#17882
C31×#15132
C31×#15012
C31×#14722
#846731