Finite Group Databasebeta

← C31×#23958 #21480717

Subgroups — C31×#23958 #21480717

Order 7936.

1174 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3495C211yesmaximal, characteristic
2C31×#3004C211yesmaximal, characteristic
3C2×C31×#419C211yesmaximal, characteristic, complemented
4C31×#2434C211yesmaximal, characteristic, complemented
5C31×#2028C212yesmaximal, complemented
6C31×#2005C212yesmaximal, complemented
7C31×#1901C211yesmaximal, characteristic, complemented
8C31×#1886C212yesmaximal, complemented
9C31×#1882C212yesmaximal, complemented
10C31×#1871C211yesmaximal, characteristic
11C31×#1826C211yesmaximal, characteristic, complemented
12C23×Q8×C31C2211yescharacteristic
13C2×C31×#137C2212yes—
14C22×M16×C31C2211yescharacteristic
15C31×#556—21no—
16C31×#554—21no—
17C31×#552—21no—
18C31×#552—22no—
19C31×#552—21no—
20C31×#551—22no—
21C31×#544C2211yescharacteristic
22C31×#542—21no—
23C31×#541—21no—
24C31×#536C2211yescharacteristic
25C31×#533—21no—
26C2×C31×C4⋊Q8C2212yes—
27C31×#529—21no—
28C31×#525C2211yescharacteristic
29C2×C31×C22⋊Q8C2211yescharacteristic
30C31×#520C2211yescharacteristic
31C31×#519C2211yescharacteristic
32C2×C31×#117C2211yescharacteristic
33C31×#451—21no—
34C31×#451—21no—
35C31×#448—21no—
36C31×#448—21no—
37C2×C31×#104C2212yes—
38C31×#419—21no—
39C31×#419—21no—
40C31×#419C2212yes—
41C31×#419C2212yes—
42C31×#419C2212yes—
43C2×C31×#103—21no—
44C2×C31×#103—21no—
45C2×C31×#101C2212yes—
46C31×#407C2211yescharacteristic
47C31×#395—22no—
48C31×#391C2212yes—
49C31×#385—22no—
50C4×C22⋊C4×C31C2211yescharacteristic
51C31×#343C2212yes—
52C31×#339C2212yes—
53C31×#339C2212yes—
54C31×#339C2212yes—
55C2×#41×C31C2311yescharacteristic
56C22×Q8×C31—21no—
57C22×Q8×C31—24no—
58C22×Q8×C31—21no—
59C22×Q8×C31—21no—
60C22×Q8×C31—21no—
61C22×Q8×C31—21no—
62C22×Q8×C31—42no—
63C22×Q8×C31C2312yes—
64C22×Q8×C31C2311yescharacteristic
65C23×C4×C31—21no—
66C23×C4×C31C2311yescharacteristic
67C31×#137—24no—
68C31×#137—42no—
69C2×Q16×C31—22no—
70C2×SD16×C31—22no—
71C2×M16×C31—21no—
72C2×M16×C31—42no—
73C2×M16×C31C2312yes—
74C2×M16×C31C2312yes—
75C22×C8×C31—21no—
76C31×C4⋊Q8—21no—
77C31×C4⋊Q8—21no—
78C31×C4⋊Q8—21no—
79C31×C4⋊Q8—24no—
80C31×C4⋊Q8—42no—
81C31×#126—22no—
82C31×#126—22no—
83C31×#126—22no—
84C31×#126—22no—
85C31×#125—22no—
86C31×#125—22no—
87C31×#125—22no—
88C31×#125—21no—
89C31×#125—21no—
90C31×#124—22no—
91C31×#124—21no—
92C31×#123—22no—
93C31×#123—22no—
94C31×#123—21no—
95C31×#123—22no—
96C31×C22⋊Q8—22no—
97C31×C22⋊Q8—22no—
98C31×C22⋊Q8—21no—
99C31×C22⋊Q8—21no—
100C31×C22⋊Q8—21no—
101C31×C22⋊Q8—21no—
102C31×C22⋊Q8—22no—
103C31×C22⋊Q8—21no—
104C31×C22⋊Q8—21no—
105C31×C22⋊Q8D411yescharacteristic
106C31×C22⋊Q8D411yescharacteristic
107C31×#121D411yescharacteristic
108C31×#121D411yescharacteristic
109C31×#120—21no—
110C4×Q8×C31—22no—
111C4×Q8×C31—21no—
112C4×Q8×C31—21no—
113C4×Q8×C31—21no—
114C4×Q8×C31—21no—
115C4×Q8×C31—21no—
116C4×D4×C31—22no—
117C4×D4×C31—21no—
118C4×D4×C31—22no—
119C4×D4×C31—21no—
120C4×D4×C31—21no—
121C31×#117—22no—
122C31×#117—22no—
123C31×#117—21no—
124C31×#117—21no—
125C31×#117—22no—
126C31×#117—21no—
127C31×#117D411yescharacteristic
128C31×#117D411yescharacteristic
129C31×#117C2311yescharacteristic
130C31×#117C2311yescharacteristic
131C31×#117C2311yescharacteristic
132C2×C4⋊C4×C31—21no—
133C2×C4⋊C4×C31—24no—
134C2×C4⋊C4×C31D412yes—
135C2×C4⋊C4×C31D411yescharacteristic
136C2×C4⋊C4×C31D411yescharacteristic
137C2×C4⋊C4×C31C2311yescharacteristic
138C2×C22⋊C4×C31—21no—
139C2×C22⋊C4×C31—21no—
140C2×C22⋊C4×C31D412yes—
141C2×C42×C31—21no—
142C2×C42×C31C2312yes—
143C31×#104—42no—
144C31×#103—22no—
145C31×#103—22no—
146C31×#103—22no—
147C31×#103—22no—
148C31×#103—22no—
149C31×#103—22no—
150C31×#101—42no—
151C31×C22⋊C8—21no—
152C31×C22⋊C8—21no—
153C31×#95—21no—
154C31×#95—24no—
155C24×C31C2×D411yescharacteristic
156#41×C31—22no—
157#41×C31—22no—
158C2×Q8×C31—22no—
159C2×Q8×C31—21no—
160C2×Q8×C31—21no—
161C2×Q8×C31—22no—
162C2×Q8×C31—22no—
163C2×Q8×C31—22no—
164C2×Q8×C31—24no—
165C2×Q8×C31—24no—
166C2×Q8×C31—22no—
167C2×Q8×C31—22no—
168C2×Q8×C31—22no—
169C2×Q8×C31—22no—
170C2×Q8×C31—44no—
171C2×Q8×C31—44no—
172C2×Q8×C31—44no—
173C2×Q8×C31—42no—
174C2×Q8×C31—42no—
175C2×Q8×C31—41no—
176C2×Q8×C31—41no—
177C2×Q8×C31C2×D411yescharacteristic
178C2×Q8×C31#4114yes—
179C2×D4×C31—21no—
180C2×D4×C31—21no—
181C2×D4×C31—21no—
182C2×D4×C31C2×D411yescharacteristic
183C22×C4×C31—22no—
184C22×C4×C31—22no—
185C22×C4×C31—21no—
186C22×C4×C31—22no—
187C22×C4×C31—22no—
188C22×C4×C31—22no—
189C22×C4×C31—21no—
190C22×C4×C31—21no—
191C22×C4×C31—44no—
192C22×C4×C31—41no—
193C22×C4×C31—41no—
194C22×C4×C31C2×D412yes—
195C22×C4×C31C2×D411yescharacteristic
196C22×C4×C31C2×D411yescharacteristic
197C22×C4×C31C2×D411yescharacteristic
198C22×C4×C31C2×D411yescharacteristic
199C22×C4×C31C2×D411yescharacteristic
200C22×C4×C31C2×D412yes—
201C22×C4×C31C2411yescharacteristic
202Q16×C31—44no—
203SD16×C31—44no—
204M16×C31—22no—
205M16×C31—22no—
206M16×C31—22no—
207M16×C31—22no—
208M16×C31—42no—
209C2×C8×C31—22no—
210C2×C8×C31—22no—
211C2×C8×C31—42no—
212C4⋊C4×C31—22no—
213C4⋊C4×C31—22no—
214C4⋊C4×C31—22no—
215C4⋊C4×C31—22no—
216C4⋊C4×C31—22no—
217C4⋊C4×C31—22no—
218C4⋊C4×C31—22no—
219C4⋊C4×C31—22no—
220C4⋊C4×C31—21no—
221C4⋊C4×C31—21no—
222C4⋊C4×C31—22no—
223C4⋊C4×C31—22no—
224C4⋊C4×C31—21no—
225C4⋊C4×C31—21no—
226C4⋊C4×C31—21no—
227C4⋊C4×C31—21no—
228C4⋊C4×C31—48no—
229C4⋊C4×C31C2×D411yescharacteristic
230C4⋊C4×C31C2×D411yescharacteristic
231C4⋊C4×C31C2×D411yescharacteristic
232C4⋊C4×C31C2×D411yescharacteristic
233C4⋊C4×C31C2×D411yescharacteristic
234C4⋊C4×C31C2×D411yescharacteristic
235C22⋊C4×C31—24no—
236C22⋊C4×C31—22no—
237C22⋊C4×C31—22no—
238C22⋊C4×C31—22no—
239C22⋊C4×C31—21no—
240C22⋊C4×C31—21no—
241C22⋊C4×C31—22no—
242C22⋊C4×C31—22no—
243C22⋊C4×C31—21no—
244C22⋊C4×C31—21no—
245C22⋊C4×C31—21no—
246C22⋊C4×C31—21no—
247C22⋊C4×C31—21no—
248C22⋊C4×C31—21no—
249C22⋊C4×C31—21no—
250C42×C31—22no—
251C42×C31—22no—
252C42×C31—22no—
253C42×C31—21no—
254C42×C31—21no—
255C42×C31—21no—
256C42×C31—21no—
257C42×C31—21no—
258C42×C31—22no—
259C42×C31—22no—
260#23958C3111yesmaximal, characteristic, direct product factor, Sylow
261C23×C31—22no—
262C23×C31—22no—
263C23×C31—21no—
264C23×C31—41no—
265C23×C31#12011yescharacteristic
266C23×C31#12011yescharacteristic
267C23×C31C22×D411yescharacteristic
268Q8×C31—24no—
269Q8×C31—24no—
270Q8×C31—22no—
271Q8×C31—44no—
272Q8×C31—44no—
273Q8×C31—41no—
274Q8×C31—41no—
275Q8×C31—42no—
276Q8×C31—42no—
277Q8×C31—42no—
278Q8×C31—82no—
279D4×C31—22no—
280D4×C31—42no—
281D4×C31—42no—
282D4×C31—81no—
283C2×C4×C31—22no—
284C2×C4×C31—21no—
285C2×C4×C31—21no—
286C2×C4×C31—21no—
287C2×C4×C31—21no—
288C2×C4×C31—22no—
289C2×C4×C31—22no—
290C2×C4×C31—24no—
291C2×C4×C31—21no—
292C2×C4×C31—21no—
293C2×C4×C31—21no—
294C2×C4×C31—21no—
295C2×C4×C31—21no—
296C2×C4×C31—22no—
297C2×C4×C31—21no—
298C2×C4×C31—21no—
299C2×C4×C31—22no—
300C2×C4×C31—24no—
301C2×C4×C31—24no—
302C2×C4×C31—42no—
303C2×C4×C31—44no—
304C2×C4×C31—44no—
305C2×C4×C31—42no—
306C2×C4×C31—42no—
307C2×C4×C31—42no—
308C2×C4×C31—42no—
309C2×C4×C31—41no—
310C2×C4×C31—41no—
311C2×C4×C31—42no—
312C2×C4×C31—81no—
313C2×C4×C31—82no—
314C2×C4×C31#12011yescharacteristic
315C2×C4×C31#12011yescharacteristic
316C2×C4×C31C22×D411yescharacteristic
317C2×C4×C31C22×D411yescharacteristic
318C2×C4×C31C2×#4112yes—
319C2×C4×C31H(5,𝔽2)12yes—
320C8×C31—42no—
321C8×C31—42no—
322#3495C2×C3111yescharacteristic
323#3004C2×C3111yescharacteristic
324C2×#419C2×C3111yescharacteristic, complemented
325#2434C2×C3111yescharacteristic, complemented
326#2028C2×C3112yescomplemented
327#2005C2×C3112yescomplemented
328#1901C2×C3111yescharacteristic, complemented
329#1886C2×C3112yescomplemented
330#1882C2×C3112yescomplemented
331#1871C2×C3111yescharacteristic
332#1826C2×C3111yescharacteristic, complemented
333C22×C31—21no—
334C22×C31—21no—
335C22×C31—21no—
336C22×C31—21no—
337C22×C31—21no—
338C22×C31—21no—
339C22×C31—21no—
340C22×C31—44no—
341C22×C31—41no—
342C22×C31—41no—
343C22×C31—41no—
344C22×C31#45612yes—
345C22×C31C2×#12011yescharacteristic
346C22×C31#54612yes—
347C4×C31—21no—
348C4×C31—21no—
349C4×C31—44no—
350C4×C31—42no—
351C4×C31—44no—
352C4×C31—41no—
353C4×C31—41no—
354C4×C31—41no—
355C4×C31—41no—
356C4×C31—42no—
357C4×C31—41no—
358C4×C31—41no—
359C4×C31—41no—
360C4×C31#52511yescharacteristic
361C4×C31#53511yescharacteristic
362C4×C31#54612yes—
363C23×Q8C22×C3111yescharacteristic
364C2×#137C22×C3112yes—
365C22×M16C22×C3111yescharacteristic
366#556—21no—
367#554—21no—
368#552—21no—
369#552—22no—
370#552—21no—
371#551—22no—
372#544C22×C3111yescharacteristic
373#542—21no—
374#541—21no—
375#536C22×C3111yescharacteristic
376#533—21no—
377C2×C4⋊Q8C22×C3112yes—
378#529—21no—
379#525C22×C3111yescharacteristic
380C2×C22⋊Q8C22×C3111yescharacteristic
381#520C22×C3111yescharacteristic
382#519C22×C3111yescharacteristic
383C2×#117C22×C3111yescharacteristic
384#451—21no—
385#451—21no—
386#448—21no—
387#448—21no—
388C2×#104C22×C3112yes—
389#419—21no—
390#419—21no—
391#419C22×C3112yes—
392#419C22×C3112yes—
393#419C22×C3112yes—
394C2×#103—21no—
395C2×#103—21no—
396C2×#101C22×C3112yes—
397#407C22×C3111yescharacteristic
398#395—22no—
399#391C22×C3112yes—
400#385—22no—
401C4×C22⋊C4C22×C3111yescharacteristic
402#343C22×C3112yes—
403#339C22×C3112yes—
404#339C22×C3112yes—
405#339C22×C3112yes—
406C2×C31—22no—
407C2×C31—22no—
408C2×C31—41no—
409C2×C31—81no—
410C2×C31#240411yescharacteristic
411C2×C31C2×#45611yescharacteristic
412C2×C31#302211yescharacteristic
413C2×#41C23×C3111yescharacteristic
414C22×Q8—21no—
415C22×Q8—24no—
416C22×Q8—21no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8—42no—
421C22×Q8C23×C3112yes—
422C22×Q8C23×C3111yescharacteristic
423C23×C4—21no—
424C23×C4C23×C3111yescharacteristic
425#137—24no—
426#137—42no—
427C2×Q16—22no—
428C2×SD16—22no—
429C2×M16—21no—
430C2×M16—42no—
431C2×M16C23×C3112yes—
432C2×M16C23×C3112yes—
433C22×C8—21no—
434C4⋊Q8—21no—
435C4⋊Q8—21no—
436C4⋊Q8—21no—
437C4⋊Q8—24no—
438C4⋊Q8—42no—
439#126—22no—
440#126—22no—
441#126—22no—
442#126—22no—
443#125—22no—
444#125—22no—
445#125—22no—
446#125—21no—
447#125—21no—
448#124—22no—
449#124—21no—
450#123—22no—
451#123—22no—
452#123—21no—
453#123—22no—
454C22⋊Q8—22no—
455C22⋊Q8—22no—
456C22⋊Q8—21no—
457C22⋊Q8—21no—
458C22⋊Q8—21no—
459C22⋊Q8—21no—
460C22⋊Q8—22no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8D4×C3111yescharacteristic
464C22⋊Q8D4×C3111yescharacteristic
465#121D4×C3111yescharacteristic
466#121D4×C3111yescharacteristic
467#120—21no—
468C4×Q8—22no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8—21no—
474C4×D4—22no—
475C4×D4—21no—
476C4×D4—22no—
477C4×D4—21no—
478C4×D4—21no—
479#117—22no—
480#117—22no—
481#117—21no—
482#117—21no—
483#117—22no—
484#117—21no—
485#117D4×C3111yescharacteristic
486#117D4×C3111yescharacteristic
487#117C23×C3111yescharacteristic
488#117C23×C3111yescharacteristic
489#117C23×C3111yescharacteristic
490C2×C4⋊C4—21no—
491C2×C4⋊C4—24no—
492C2×C4⋊C4D4×C3112yes—
493C2×C4⋊C4D4×C3111yescharacteristic
494C2×C4⋊C4D4×C3111yescharacteristic
495C2×C4⋊C4C23×C3111yescharacteristic
496C2×C22⋊C4—21no—
497C2×C22⋊C4—21no—
498C2×C22⋊C4D4×C3112yes—
499C2×C42—21no—
500C2×C42C23×C3112yes—
501#104—42no—
502#103—22no—
503#103—22no—
504#103—22no—
505#103—22no—
506#103—22no—
507#103—22no—
508#101—42no—
509C22⋊C8—21no—
510C22⋊C8—21no—
511#95—21no—
512#95—24no—
513C31#2395811yescharacteristic, direct product factor, Sylow
514C24C2×D4×C3111yescharacteristic
515#41—22no—
516#41—22no—
517C2×Q8—22no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—22no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—24no—
524C2×Q8—24no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—44no—
530C2×Q8—44no—
531C2×Q8—44no—
532C2×Q8—42no—
533C2×Q8—42no—
534C2×Q8—41no—
535C2×Q8—41no—
536C2×Q8C2×D4×C3111yescharacteristic
537C2×Q8#41×C3114yes—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4C2×D4×C3111yescharacteristic
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—44no—
551C22×C4—41no—
552C22×C4—41no—
553C22×C4C2×D4×C3112yes—
554C22×C4C2×D4×C3111yescharacteristic
555C22×C4C2×D4×C3111yescharacteristic
556C22×C4C2×D4×C3111yescharacteristic
557C22×C4C2×D4×C3111yescharacteristic
558C22×C4C2×D4×C3111yescharacteristic
559C22×C4C2×D4×C3112yes—
560C22×C4C24×C3111yescharacteristic
561Q16—44no—
562SD16—44no—
563M16—22no—
564M16—22no—
565M16—22no—
566M16—22no—
567M16—42no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—42no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—48no—
588C4⋊C4C2×D4×C3111yescharacteristic
589C4⋊C4C2×D4×C3111yescharacteristic
590C4⋊C4C2×D4×C3111yescharacteristic
591C4⋊C4C2×D4×C3111yescharacteristic
592C4⋊C4C2×D4×C3111yescharacteristic
593C4⋊C4C2×D4×C3111yescharacteristic
594C22⋊C4—24no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C23—22no—
620C23—22no—
621C23—21no—
622C23—41no—
623C23C31×#12011yescharacteristic
624C23C31×#12011yescharacteristic
625C23C22×D4×C3111yescharacteristic
626Q8—24no—
627Q8—24no—
628Q8—22no—
629Q8—44no—
630Q8—44no—
631Q8—41no—
632Q8—41no—
633Q8—42no—
634Q8—42no—
635Q8—42no—
636Q8—82no—
637D4—22no—
638D4—42no—
639D4—42no—
640D4—81no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—81no—
671C2×C4—82no—
672C2×C4C31×#12011yescharacteristic
673C2×C4C31×#12011yescharacteristic
674C2×C4C22×D4×C3111yescharacteristic
675C2×C4C22×D4×C3111yescharacteristic
676C2×C4C2×#41×C3112yes—
677C2×C4C31×H(5,𝔽2)12yes—
678C8—42no—
679C8—42no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—44no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22C31×#45612yes—
692C22C2×C31×#12011yescharacteristic
693C22C31×#54612yes—
694C4—21no—
695C4—21no—
696C4—44no—
697C4—42no—
698C4—44no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4C31×#52511yescharacteristic
708C4C31×#53511yescharacteristic
709C4C31×#54612yes—
710C2—22no—
711C2—22no—
712C2—41no—
713C2—81no—
714C2C31×#240411yescharacteristic
715C2C2×C31×#45611yescharacteristic
716C2C31×#302211yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C31×#419C2semidirect
4. C31×#2434C2semidirect
5. C31×#2028C2semidirect
6. C31×#2005C2semidirect
7. C31×#1901C2semidirect
8. C31×#1886C2semidirect
9. C31×#1882C2semidirect
11. C31×#1826C2semidirect
260. #23958C31direct (N × H)
324. C2×#419C2×C31semidirect
325. #2434C2×C31semidirect
326. #2028C2×C31semidirect
327. #2005C2×C31semidirect
328. #1901C2×C31semidirect
329. #1886C2×C31semidirect
330. #1882C2×C31semidirect
332. #1826C2×C31semidirect
513. C31#23958direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#34952
C31×#30042
C2×C31×#4192
C31×#24342
C31×#20282
C31×#20052
C31×#19012
C31×#18862
C31×#18822
C31×#18712
C31×#18262
#2395831