Finite Group Databasebeta

← C31×#19097 #21475856

Subgroups — C31×#19097 #21475856

Order 7936.

830 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3567C211yesmaximal, characteristic
2C31×#3239C211yesmaximal, characteristic, complemented
3C31×#3238C211yesmaximal, characteristic, complemented
4C31×#3218C211yesmaximal, characteristic, complemented
5C31×#1663C212yesmaximal, complemented
6C31×#1662C212yesmaximal, complemented
7C31×#1661C212yesmaximal, complemented
8C31×#1661C212yesmaximal, complemented
9C31×#1535C211yesmaximal, characteristic, complemented
10C31×#1535C211yesmaximal, characteristic, complemented
11C31×#1535C211yesmaximal, characteristic, complemented
12C31×#564C2211yescharacteristic
13C31×#562C2211yescharacteristic
14C31×#562C2211yescharacteristic
15C31×#562C2211yescharacteristic
16C31×#553—21no—
17C31×#553—21no—
18C31×#553—21no—
19C31×#552—21no—
20C31×#552—21no—
21C31×#552—21no—
22C31×#540—21no—
23C31×#540—21no—
24C31×#540—21no—
25C31×#539—21no—
26C31×#539—21no—
27C31×#539—21no—
28C2×C31×C4⋊Q8C2211yescharacteristic
29C31×#529C2211yescharacteristic
30C31×#529C2211yescharacteristic
31C31×#529C2211yescharacteristic
32C31×#501C2212yes—
33C31×#501C2212yes—
34C31×#497C2212yes—
35C31×#491C2212yes—
36C31×#489C2212yes—
37C31×#489C2212yes—
38C31×#484—21no—
39C31×#483—21no—
40C31×#481—21no—
41C31×#480—21no—
42C31×#477—21no—
43C31×#476—21no—
44C31×#475—21no—
45C31×#474—21no—
46C31×#462—21no—
47C31×#461—21no—
48C31×#451—21no—
49C31×#448—21no—
50C31×#432C2211yescharacteristic
51C31×#432C2211yescharacteristic
52C31×#432C2211yescharacteristic
53C31×#330C2212yes—
54C31×#330C2212yes—
55C31×#330C2212yes—
56C31×#329C2212yes—
57C31×#329C2212yes—
58C31×#329C2212yes—
59C22×Q8×C31—21no—
60C2×Q16×C31—22no—
61C2×SD16×C31—22no—
62C31×C4⋊Q8—21no—
63C31×C4⋊Q8—21no—
64C31×C4⋊Q8—21no—
65C31×C4⋊Q8C2312yes—
66C31×#127—21no—
67C31×#126—21no—
68C31×#126—21no—
69C31×#126—21no—
70C31×#126—21no—
71C31×#126—21no—
72C31×#126—21no—
73C31×#126—21no—
74C31×#125—21no—
75C31×#125—21no—
76C31×#125—21no—
77C31×#125—21no—
78C31×#125—21no—
79C31×#125—21no—
80C31×#125—21no—
81C31×#125—21no—
82C31×#125—21no—
83C31×#125C2311yescharacteristic
84C31×#125C2311yescharacteristic
85C31×#125C2311yescharacteristic
86C31×#124C2311yescharacteristic
87C31×#124C2311yescharacteristic
88C31×#124C2311yescharacteristic
89C31×#123—21no—
90C31×#123—21no—
91C31×#123—21no—
92C31×#123—21no—
93C31×#123—21no—
94C31×#123—21no—
95C31×#123—21no—
96C31×#123—21no—
97C31×#123—21no—
98C31×#123—21no—
99C31×#123—21no—
100C31×#123—21no—
101C31×#123—21no—
102C31×#123—21no—
103C31×#123—21no—
104C31×C22⋊Q8—21no—
105C31×C22⋊Q8—21no—
106C31×C22⋊Q8—21no—
107C31×C22⋊Q8—21no—
108C31×C22⋊Q8—21no—
109C31×C22⋊Q8—21no—
110C31×C22⋊Q8D411yescharacteristic
111C31×C22⋊Q8D411yescharacteristic
112C31×C22⋊Q8D411yescharacteristic
113C31×#121—21no—
114C31×#121—21no—
115C31×#121—21no—
116C31×#121—21no—
117C31×#121—21no—
118C31×#121—21no—
119C31×#121—21no—
120C31×#121—21no—
121C31×#121—21no—
122C31×#121—21no—
123C31×#121—21no—
124C31×#121—21no—
125C31×#121D411yescharacteristic
126C31×#121D411yescharacteristic
127C31×#121D411yescharacteristic
128C4×Q8×C31D411yescharacteristic
129C4×Q8×C31D411yescharacteristic
130C4×Q8×C31D411yescharacteristic
131C4×D4×C31—21no—
132C4×D4×C31—21no—
133C4×D4×C31—21no—
134C4×D4×C31—21no—
135C4×D4×C31—21no—
136C4×D4×C31—21no—
137C4×D4×C31—21no—
138C4×D4×C31—21no—
139C4×D4×C31—21no—
140C4×D4×C31D411yescharacteristic
141C4×D4×C31D411yescharacteristic
142C4×D4×C31D411yescharacteristic
143C31×#117—21no—
144C31×#117—21no—
145C31×#117—21no—
146C31×#117—21no—
147C31×#117—21no—
148C31×#117—21no—
149C2×C4⋊C4×C31—21no—
150C2×C4⋊C4×C31—21no—
151C2×C4⋊C4×C31—21no—
152C2×C4⋊C4×C31—21no—
153C2×C4⋊C4×C31—21no—
154C2×C42×C31C2311yescharacteristic
155C31×#107—22no—
156C31×#107—22no—
157C31×#106—22no—
158C31×#106—22no—
159C31×C4⋊C8—21no—
160C31×C4⋊C8—21no—
161C31×C4⋊C8—21no—
162C31×#103—22no—
163C31×#103—22no—
164C31×#103—22no—
165C31×#103—22no—
166C31×#102—22no—
167C31×#102—22no—
168C31×C22⋊C8—21no—
169C31×C22⋊C8—21no—
170C31×C22⋊C8—21no—
171C31×#97C2312yes—
172C31×#97C2312yes—
173C31×#97C2312yes—
174C2×Q8×C31—22no—
175C2×Q8×C31—41no—
176C2×Q8×C31—82no—
177C2×Q8×C31C2×D411yescharacteristic
178C2×Q8×C31C2×D411yescharacteristic
179C2×Q8×C31C2×D411yescharacteristic
180C2×D4×C31—21no—
181C2×D4×C31—21no—
182C2×D4×C31—21no—
183C2×D4×C31—21no—
184C2×D4×C31—21no—
185C2×D4×C31—21no—
186C2×D4×C31—21no—
187C2×D4×C31—21no—
188C2×D4×C31—21no—
189C2×D4×C31C2×D411yescharacteristic
190C2×D4×C31C2×D411yescharacteristic
191C2×D4×C31C2×D411yescharacteristic
192C22×C4×C31—21no—
193C22×C4×C31—21no—
194C22×C4×C31—21no—
195C22×C4×C31—21no—
196C22×C4×C31—21no—
197C22×C4×C31—21no—
198C22×C4×C31—21no—
199C22×C4×C31—21no—
200C22×C4×C31—21no—
201C22×C4×C31—41no—
202C22×C4×C31C2×D411yescharacteristic
203C22×C4×C31C2×D411yescharacteristic
204C22×C4×C31C2×D411yescharacteristic
205Q16×C31—82no—
206SD16×C31—82no—
207C2×C8×C31—22no—
208C2×C8×C31—22no—
209C2×C8×C31—22no—
210C4⋊C4×C31—21no—
211C4⋊C4×C31—21no—
212C4⋊C4×C31—21no—
213C4⋊C4×C31—21no—
214C4⋊C4×C31—21no—
215C4⋊C4×C31—21no—
216C4⋊C4×C31—21no—
217C4⋊C4×C31—21no—
218C4⋊C4×C31—21no—
219C4⋊C4×C31—21no—
220C4⋊C4×C31—21no—
221C4⋊C4×C31—21no—
222C4⋊C4×C31—21no—
223C4⋊C4×C31—21no—
224C4⋊C4×C31—21no—
225C4⋊C4×C31—21no—
226C4⋊C4×C31—21no—
227C4⋊C4×C31—21no—
228C4⋊C4×C31—21no—
229C4⋊C4×C31—21no—
230C4⋊C4×C31—21no—
231C4⋊C4×C31—21no—
232C4⋊C4×C31—21no—
233C4⋊C4×C31—21no—
234C4⋊C4×C31—22no—
235C4⋊C4×C31—22no—
236C4⋊C4×C31—41no—
237C4⋊C4×C31—41no—
238C4⋊C4×C31C2×D411yescharacteristic
239C4⋊C4×C31C2×D411yescharacteristic
240C4⋊C4×C31C2×D411yescharacteristic
241C4⋊C4×C31C2×D411yescharacteristic
242C4⋊C4×C31C2×D411yescharacteristic
243C4⋊C4×C31C2×D411yescharacteristic
244C22⋊C4×C31—21no—
245C22⋊C4×C31—21no—
246C22⋊C4×C31—21no—
247C22⋊C4×C31—21no—
248C22⋊C4×C31—21no—
249C22⋊C4×C31—21no—
250C22⋊C4×C31—21no—
251C22⋊C4×C31—21no—
252C22⋊C4×C31—21no—
253C22⋊C4×C31—21no—
254C22⋊C4×C31—21no—
255C22⋊C4×C31—21no—
256C22⋊C4×C31—21no—
257C22⋊C4×C31—21no—
258C22⋊C4×C31—21no—
259C22⋊C4×C31—21no—
260C22⋊C4×C31—21no—
261C22⋊C4×C31—21no—
262C22⋊C4×C31—21no—
263C22⋊C4×C31—21no—
264C22⋊C4×C31—21no—
265C42×C31—21no—
266C42×C31—21no—
267C42×C31—21no—
268C42×C31—21no—
269C42×C31—21no—
270C42×C31C2×D411yescharacteristic
271C42×C31C2×D411yescharacteristic
272C42×C31C2×D411yescharacteristic
273C42×C31C2411yescharacteristic
274#19097C3111yesmaximal, characteristic, direct product factor, Sylow
275C23×C31—21no—
276C23×C31—21no—
277C23×C31—21no—
278C23×C31#12011yescharacteristic
279Q8×C31—41no—
280Q8×C31—41no—
281Q8×C31—41no—
282Q8×C31—42no—
283Q8×C31—42no—
284Q8×C31—82no—
285D4×C31—41no—
286D4×C31—41no—
287D4×C31—41no—
288D4×C31—81no—
289D4×C31—81no—
290D4×C31—81no—
291D4×C31—81no—
292D4×C31—81no—
293D4×C31—81no—
294D4×C31—81no—
295D4×C31—81no—
296D4×C31—81no—
297C2×C4×C31—21no—
298C2×C4×C31—21no—
299C2×C4×C31—21no—
300C2×C4×C31—21no—
301C2×C4×C31—21no—
302C2×C4×C31—21no—
303C2×C4×C31—21no—
304C2×C4×C31—21no—
305C2×C4×C31—21no—
306C2×C4×C31—41no—
307C2×C4×C31—41no—
308C2×C4×C31—41no—
309C2×C4×C31—42no—
310C2×C4×C31—81no—
311C2×C4×C31—81no—
312C2×C4×C31—81no—
313C2×C4×C31—81no—
314C2×C4×C31—81no—
315C2×C4×C31—81no—
316C2×C4×C31—81no—
317C2×C4×C31—81no—
318C2×C4×C31—81no—
319C2×C4×C31—82no—
320C2×C4×C31#12011yescharacteristic
321C2×C4×C31#12011yescharacteristic
322C2×C4×C31#12011yescharacteristic
323C2×C4×C31C22×D411yescharacteristic
324C2×C4×C31C22×D411yescharacteristic
325C2×C4×C31C22×D411yescharacteristic
326C8×C31—42no—
327C8×C31—42no—
328C8×C31—42no—
329#3567C2×C3111yescharacteristic
330#3239C2×C3111yescharacteristic, complemented
331#3238C2×C3111yescharacteristic, complemented
332#3218C2×C3111yescharacteristic, complemented
333#1663C2×C3112yescomplemented
334#1662C2×C3112yescomplemented
335#1661C2×C3112yescomplemented
336#1661C2×C3112yescomplemented
337#1535C2×C3111yescharacteristic, complemented
338#1535C2×C3111yescharacteristic, complemented
339#1535C2×C3111yescharacteristic, complemented
340C22×C31—21no—
341C22×C31—21no—
342C22×C31—21no—
343C22×C31—41no—
344C22×C31—41no—
345C22×C31—41no—
346C22×C31—41no—
347C22×C31—41no—
348C22×C31—41no—
349C22×C31—41no—
350C22×C31—41no—
351C22×C31—41no—
352C22×C31C2×#12011yescharacteristic
353C4×C31—21no—
354C4×C31—21no—
355C4×C31—21no—
356C4×C31—21no—
357C4×C31—21no—
358C4×C31—21no—
359C4×C31—41no—
360C4×C31—41no—
361C4×C31—41no—
362C4×C31—41no—
363C4×C31—41no—
364C4×C31—41no—
365C4×C31—41no—
366C4×C31—41no—
367C4×C31—41no—
368C4×C31—82no—
369#564C22×C3111yescharacteristic
370#562C22×C3111yescharacteristic
371#562C22×C3111yescharacteristic
372#562C22×C3111yescharacteristic
373#553—21no—
374#553—21no—
375#553—21no—
376#552—21no—
377#552—21no—
378#552—21no—
379#540—21no—
380#540—21no—
381#540—21no—
382#539—21no—
383#539—21no—
384#539—21no—
385C2×C4⋊Q8C22×C3111yescharacteristic
386#529C22×C3111yescharacteristic
387#529C22×C3111yescharacteristic
388#529C22×C3111yescharacteristic
389#501C22×C3112yes—
390#501C22×C3112yes—
391#497C22×C3112yes—
392#491C22×C3112yes—
393#489C22×C3112yes—
394#489C22×C3112yes—
395#484—21no—
396#483—21no—
397#481—21no—
398#480—21no—
399#477—21no—
400#476—21no—
401#475—21no—
402#474—21no—
403#462—21no—
404#461—21no—
405#451—21no—
406#448—21no—
407#432C22×C3111yescharacteristic
408#432C22×C3111yescharacteristic
409#432C22×C3111yescharacteristic
410#330C22×C3112yes—
411#330C22×C3112yes—
412#330C22×C3112yes—
413#329C22×C3112yes—
414#329C22×C3112yes—
415#329C22×C3112yes—
416C2×C31—41no—
417C2×C31—81no—
418C2×C31—81no—
419C2×C31—81no—
420C2×C31#302111yescharacteristic
421C2×C31#302211yescharacteristic
422C2×C31#302211yescharacteristic
423C22×Q8—21no—
424C2×Q16—22no—
425C2×SD16—22no—
426C4⋊Q8—21no—
427C4⋊Q8—21no—
428C4⋊Q8—21no—
429C4⋊Q8C23×C3112yes—
430#127—21no—
431#126—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#125—21no—
439#125—21no—
440#125—21no—
441#125—21no—
442#125—21no—
443#125—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125C23×C3111yescharacteristic
448#125C23×C3111yescharacteristic
449#125C23×C3111yescharacteristic
450#124C23×C3111yescharacteristic
451#124C23×C3111yescharacteristic
452#124C23×C3111yescharacteristic
453#123—21no—
454#123—21no—
455#123—21no—
456#123—21no—
457#123—21no—
458#123—21no—
459#123—21no—
460#123—21no—
461#123—21no—
462#123—21no—
463#123—21no—
464#123—21no—
465#123—21no—
466#123—21no—
467#123—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8D4×C3111yescharacteristic
475C22⋊Q8D4×C3111yescharacteristic
476C22⋊Q8D4×C3111yescharacteristic
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—21no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—21no—
488#121—21no—
489#121D4×C3111yescharacteristic
490#121D4×C3111yescharacteristic
491#121D4×C3111yescharacteristic
492C4×Q8D4×C3111yescharacteristic
493C4×Q8D4×C3111yescharacteristic
494C4×Q8D4×C3111yescharacteristic
495C4×D4—21no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4D4×C3111yescharacteristic
505C4×D4D4×C3111yescharacteristic
506C4×D4D4×C3111yescharacteristic
507#117—21no—
508#117—21no—
509#117—21no—
510#117—21no—
511#117—21no—
512#117—21no—
513C2×C4⋊C4—21no—
514C2×C4⋊C4—21no—
515C2×C4⋊C4—21no—
516C2×C4⋊C4—21no—
517C2×C4⋊C4—21no—
518C2×C42C23×C3111yescharacteristic
519#107—22no—
520#107—22no—
521#106—22no—
522#106—22no—
523C4⋊C8—21no—
524C4⋊C8—21no—
525C4⋊C8—21no—
526#103—22no—
527#103—22no—
528#103—22no—
529#103—22no—
530#102—22no—
531#102—22no—
532C22⋊C8—21no—
533C22⋊C8—21no—
534C22⋊C8—21no—
535#97C23×C3112yes—
536#97C23×C3112yes—
537#97C23×C3112yes—
538C31#1909711yescharacteristic, direct product factor, Sylow
539C2×Q8—22no—
540C2×Q8—41no—
541C2×Q8—82no—
542C2×Q8C2×D4×C3111yescharacteristic
543C2×Q8C2×D4×C3111yescharacteristic
544C2×Q8C2×D4×C3111yescharacteristic
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4C2×D4×C3111yescharacteristic
555C2×D4C2×D4×C3111yescharacteristic
556C2×D4C2×D4×C3111yescharacteristic
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—41no—
567C22×C4C2×D4×C3111yescharacteristic
568C22×C4C2×D4×C3111yescharacteristic
569C22×C4C2×D4×C3111yescharacteristic
570Q16—82no—
571SD16—82no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—41no—
602C4⋊C4—41no—
603C4⋊C4C2×D4×C3111yescharacteristic
604C4⋊C4C2×D4×C3111yescharacteristic
605C4⋊C4C2×D4×C3111yescharacteristic
606C4⋊C4C2×D4×C3111yescharacteristic
607C4⋊C4C2×D4×C3111yescharacteristic
608C4⋊C4C2×D4×C3111yescharacteristic
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C42—21no—
631C42—21no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42C2×D4×C3111yescharacteristic
636C42C2×D4×C3111yescharacteristic
637C42C2×D4×C3111yescharacteristic
638C42C24×C3111yescharacteristic
639C23—21no—
640C23—21no—
641C23—21no—
642C23C31×#12011yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—42no—
647Q8—42no—
648Q8—82no—
649D4—41no—
650D4—41no—
651D4—41no—
652D4—81no—
653D4—81no—
654D4—81no—
655D4—81no—
656D4—81no—
657D4—81no—
658D4—81no—
659D4—81no—
660D4—81no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—82no—
684C2×C4C31×#12011yescharacteristic
685C2×C4C31×#12011yescharacteristic
686C2×C4C31×#12011yescharacteristic
687C2×C4C22×D4×C3111yescharacteristic
688C2×C4C22×D4×C3111yescharacteristic
689C2×C4C22×D4×C3111yescharacteristic
690C8—42no—
691C8—42no—
692C8—42no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22C2×C31×#12011yescharacteristic
706C4—21no—
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—82no—
722C2—41no—
723C2—81no—
724C2—81no—
725C2—81no—
726C2C31×#302111yescharacteristic
727C2C31×#302211yescharacteristic
728C2C31×#302211yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC42C24×C31
prime radicalC31×#3567C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C31 ◁ C2×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#3239C2semidirect
3. C31×#3238C2semidirect
4. C31×#3218C2semidirect
5. C31×#1663C2semidirect
6. C31×#1662C2semidirect
7. C31×#1661C2semidirect
8. C31×#1661C2semidirect
9. C31×#1535C2semidirect
10. C31×#1535C2semidirect
11. C31×#1535C2semidirect
274. #19097C31direct (N × H)
330. #3239C2×C31semidirect
331. #3238C2×C31semidirect
332. #3218C2×C31semidirect
333. #1663C2×C31semidirect
334. #1662C2×C31semidirect
335. #1661C2×C31semidirect
336. #1661C2×C31semidirect
337. #1535C2×C31semidirect
338. #1535C2×C31semidirect
339. #1535C2×C31semidirect
538. C31#19097direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35672
C31×#32392
C31×#32382
C31×#32182
C31×#16632
C31×#16622
C31×#16612
C31×#15352
#1909731