Finite Group Databasebeta

← C31×#18424 #21475183

Subgroups — C31×#18424 #21475183

Order 7936.

1020 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3536C211yesmaximal, characteristic, complemented
2C31×#3192C211yesmaximal, characteristic, complemented
3C31×#3188C211yesmaximal, characteristic, complemented
4C31×#2639C211yesmaximal, characteristic, complemented
5C31×#1616C212yesmaximal, complemented
6C31×#1615C212yesmaximal, complemented
7C31×#1598C212yesmaximal, complemented
8C31×#1597C212yesmaximal, complemented
9C31×#1504C211yesmaximal, characteristic, complemented
10C2×C31×#327C211yesmaximal, characteristic, complemented
11C31×#1472C211yesmaximal, characteristic, complemented
12C31×#562—22no—
13C31×#554—21no—
14C31×#548—21no—
15C31×#547—21no—
16C31×#546—21no—
17C31×#546—22no—
18C31×#543—21no—
19C31×#542—21no—
20C31×#539C2212yes—
21C31×#538—21no—
22C31×#537—21no—
23C31×#537C2212yes—
24C31×#525C2211yescharacteristic
25C2×C31×C22⋊Q8C2211yescharacteristic
26C2×C31×#121C2211yescharacteristic
27C2×C31×#121C2211yescharacteristic
28C31×#484C2211yescharacteristic, complemented
29C31×#482—21no—
30C31×#481—21no—
31C31×#481C2212yes—
32C31×#481C2211yescharacteristic, complemented
33C31×#469—22no—
34C31×#466—21no—
35C31×#465—21no—
36C31×#450C2211yescharacteristic, complemented
37C31×#449—21no—
38C31×#447—21no—
39C31×#447C2212yes—
40C31×#447C2211yescharacteristic, complemented
41C31×#407C2211yescharacteristic
42C2×C31×C22⋊C8C2211yescharacteristic
43C31×#400C2212yescomplemented
44C31×#397—21no—
45C31×#394C2212yescomplemented
46C31×#393—21no—
47C31×#386—22no—
48C2×C31×#95C2211yescharacteristic
49C31×#328C2212yescomplemented
50C31×#327C2212yes—
51C31×#327C2212yes—
52C31×#327C2212yescomplemented
53C31×#324C2212yescomplemented
54C31×#324C2212yescomplemented
55C2×#41×C31—21no—
56C2×#41×C31—22no—
57C2×#41×C31D411yescharacteristic
58C22×Q8×C31D411yescharacteristic
59C22×D4×C31—21no—
60C22×D4×C31—21no—
61C22×D4×C31D411yescharacteristic
62C22×D4×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31C2311yescharacteristic
65C2×SD16×C31—21no—
66C2×D8×C31—22no—
67C2×D8×C31—21no—
68C2×M16×C31—21no—
69C22×C8×C31—21no—
70C31×C4⋊Q8—21no—
71C31×#126—22no—
72C31×#125—22no—
73C31×#124—22no—
74C31×#124—21no—
75C31×#124—22no—
76C31×#123—22no—
77C31×#123—22no—
78C31×#123—22no—
79C31×#123—21no—
80C31×#123—22no—
81C31×C22⋊Q8—21no—
82C31×C22⋊Q8—22no—
83C31×C22⋊Q8—22no—
84C31×C22⋊Q8—22no—
85C31×C22⋊Q8—22no—
86C31×C22⋊Q8—21no—
87C31×C22⋊Q8—21no—
88C31×C22⋊Q8—21no—
89C31×C22⋊Q8—21no—
90C31×C22⋊Q8—22no—
91C31×C22⋊Q8—22no—
92C31×C22⋊Q8D411yescharacteristic
93C31×C22⋊Q8C2311yescharacteristic
94C31×#121—21no—
95C31×#121—22no—
96C31×#121—22no—
97C31×#121—22no—
98C31×#121—22no—
99C31×#121—21no—
100C31×#121—21no—
101C31×#121—22no—
102C31×#121—21no—
103C31×#121—21no—
104C31×#121—21no—
105C31×#121—21no—
106C31×#121D411yescharacteristic
107C31×#121D412yes—
108C31×#121C2312yes—
109C31×#121C2311yescharacteristic
110C31×#120—22no—
111C31×#120—21no—
112C4×Q8×C31—21no—
113C4×D4×C31—22no—
114C4×D4×C31—21no—
115C4×D4×C31—21no—
116C4×D4×C31—21no—
117C4×D4×C31—22no—
118C31×#117D411yescharacteristic
119C2×C4⋊C4×C31—21no—
120C2×C4⋊C4×C31D411yescharacteristic
121C2×C4⋊C4×C31D411yescharacteristic
122C2×C4⋊C4×C31C2311yescharacteristic
123C2×C4⋊C4×C31C2312yes—
124C2×C22⋊C4×C31—22no—
125C2×C22⋊C4×C31—21no—
126C2×C22⋊C4×C31—21no—
127C2×C22⋊C4×C31—22no—
128C2×C22⋊C4×C31—22no—
129C2×C22⋊C4×C31D412yes—
130C31×#107—21no—
131C31×#106—21no—
132C31×#106—22no—
133C31×#103—21no—
134C31×#102—22no—
135C31×#102—21no—
136C31×#102—22no—
137C31×#102—21no—
138C31×#102—21no—
139C31×C22⋊C8—21no—
140C31×C22⋊C8—21no—
141C31×C22⋊C8C2311yescharacteristic
142C31×C22⋊C8C2311yescharacteristic
143C31×C22⋊C8C2312yes—
144C31×#95—22no—
145C31×#95—21no—
146C31×#95—22no—
147C31×#95C2312yes—
148C24×C31—21no—
149C24×C31—21no—
150C24×C31C2×D411yescharacteristic
151#41×C31—82no—
152#41×C31—82no—
153#41×C31—81no—
154#41×C31—82no—
155C2×Q8×C31—22no—
156C2×Q8×C31—21no—
157C2×Q8×C31—21no—
158C2×Q8×C31—81no—
159C2×Q8×C31C2×D411yescharacteristic
160C2×D4×C31—21no—
161C2×D4×C31—21no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—22no—
165C2×D4×C31—21no—
166C2×D4×C31—22no—
167C2×D4×C31—21no—
168C2×D4×C31—21no—
169C2×D4×C31—21no—
170C2×D4×C31—44no—
171C2×D4×C31—41no—
172C2×D4×C31—41no—
173C2×D4×C31—81no—
174C2×D4×C31—81no—
175C2×D4×C31—81no—
176C2×D4×C31—81no—
177C2×D4×C31C2×D411yescharacteristic
178C2×D4×C31C2×D412yes—
179C22×C4×C31—22no—
180C22×C4×C31—22no—
181C22×C4×C31—22no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—21no—
185C22×C4×C31—22no—
186C22×C4×C31—42no—
187C22×C4×C31—81no—
188C22×C4×C31—81no—
189C22×C4×C31—81no—
190C22×C4×C31C2×D412yes—
191C22×C4×C31C2×D412yes—
192C22×C4×C31C2×D411yescharacteristic
193C22×C4×C31C2×D411yescharacteristic
194C22×C4×C31C2×D411yescharacteristic
195C22×C4×C31C2×D411yescharacteristic
196C22×C4×C31C2×D411yescharacteristic
197C22×C4×C31C2411yescharacteristic
198SD16×C31—81no—
199D8×C31—81no—
200D8×C31—82no—
201M16×C31—81no—
202C2×C8×C31—21no—
203C2×C8×C31—22no—
204C2×C8×C31—21no—
205C2×C8×C31—81no—
206C4⋊C4×C31—22no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—22no—
209C4⋊C4×C31—22no—
210C4⋊C4×C31—21no—
211C4⋊C4×C31—21no—
212C4⋊C4×C31—21no—
213C4⋊C4×C31—21no—
214C4⋊C4×C31—22no—
215C4⋊C4×C31—22no—
216C4⋊C4×C31—21no—
217C4⋊C4×C31—21no—
218C4⋊C4×C31—21no—
219C4⋊C4×C31C2×D412yes—
220C4⋊C4×C31C2×D411yescharacteristic
221C4⋊C4×C31C2×D411yescharacteristic
222C22⋊C4×C31—22no—
223C22⋊C4×C31—22no—
224C22⋊C4×C31—22no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—21no—
228C22⋊C4×C31—22no—
229C22⋊C4×C31—22no—
230C22⋊C4×C31—21no—
231C22⋊C4×C31—21no—
232C22⋊C4×C31—22no—
233C22⋊C4×C31—21no—
234C22⋊C4×C31—22no—
235C22⋊C4×C31—21no—
236C22⋊C4×C31—41no—
237C22⋊C4×C31—41no—
238C22⋊C4×C31—82no—
239C22⋊C4×C31—82no—
240C42×C31—22no—
241C42×C31—21no—
242#18424C3111yesmaximal, characteristic, direct product factor, Sylow
243C23×C31—21no—
244C23×C31—21no—
245C23×C31—22no—
246C23×C31—22no—
247C23×C31—21no—
248C23×C31—41no—
249C23×C31—42no—
250C23×C31—42no—
251C23×C31—42no—
252C23×C31—41no—
253C23×C31—41no—
254C23×C31—41no—
255C23×C31—81no—
256C23×C31—81no—
257C23×C31#12011yescharacteristic
258C23×C31#12011yescharacteristic
259C23×C31C22×D411yescharacteristic
260Q8×C31—41no—
261Q8×C31—42no—
262Q8×C31—81no—
263Q8×C31—82no—
264D4×C31—42no—
265D4×C31—41no—
266D4×C31—42no—
267D4×C31—42no—
268D4×C31—41no—
269D4×C31—41no—
270D4×C31—42no—
271D4×C31—41no—
272D4×C31—42no—
273D4×C31—41no—
274D4×C31—42no—
275D4×C31—82no—
276D4×C31—81no—
277D4×C31—82no—
278D4×C31—82no—
279D4×C31—82no—
280D4×C31—82no—
281C2×C4×C31—21no—
282C2×C4×C31—22no—
283C2×C4×C31—21no—
284C2×C4×C31—22no—
285C2×C4×C31—21no—
286C2×C4×C31—22no—
287C2×C4×C31—22no—
288C2×C4×C31—22no—
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—42no—
296C2×C4×C31—42no—
297C2×C4×C31—42no—
298C2×C4×C31—42no—
299C2×C4×C31—42no—
300C2×C4×C31—41no—
301C2×C4×C31—42no—
302C2×C4×C31—81no—
303C2×C4×C31—82no—
304C2×C4×C31—82no—
305C2×C4×C31—82no—
306C2×C4×C31—84no—
307C2×C4×C31#12011yescharacteristic
308C2×C4×C31#12011yescharacteristic
309C2×C4×C31C22×D411yescharacteristic
310C2×C4×C31C22×D411yescharacteristic
311C8×C31—41no—
312C8×C31—41no—
313C8×C31—42no—
314#3536C2×C3111yescharacteristic, complemented
315#3192C2×C3111yescharacteristic, complemented
316#3188C2×C3111yescharacteristic, complemented
317#2639C2×C3111yescharacteristic, complemented
318#1616C2×C3112yescomplemented
319#1615C2×C3112yescomplemented
320#1598C2×C3112yescomplemented
321#1597C2×C3112yescomplemented
322#1504C2×C3111yescharacteristic, complemented
323C2×#327C2×C3111yescharacteristic, complemented
324#1472C2×C3111yescharacteristic, complemented
325C22×C31—21no—
326C22×C31—21no—
327C22×C31—21no—
328C22×C31—21no—
329C22×C31—21no—
330C22×C31—21no—
331C22×C31—21no—
332C22×C31—42no—
333C22×C31—42no—
334C22×C31—41no—
335C22×C31—42no—
336C22×C31—41no—
337C22×C31—42no—
338C22×C31—41no—
339C22×C31—42no—
340C22×C31—82no—
341C22×C31—82no—
342C22×C31—81no—
343C22×C31—81no—
344C22×C31—81no—
345C22×C31—162no—
346C22×C31#45412yes—
347C22×C31C2×#12011yescharacteristic
348C22×C31#57611yescharacteristic
349C22×C31#57711yescharacteristic
350C4×C31—21no—
351C4×C31—21no—
352C4×C31—21no—
353C4×C31—21no—
354C4×C31—42no—
355C4×C31—42no—
356C4×C31—41no—
357C4×C31—41no—
358C4×C31—41no—
359C4×C31—42no—
360C4×C31—82no—
361C4×C31—81no—
362#562—22no—
363#554—21no—
364#548—21no—
365#547—21no—
366#546—21no—
367#546—22no—
368#543—21no—
369#542—21no—
370#539C22×C3112yes—
371#538—21no—
372#537—21no—
373#537C22×C3112yes—
374#525C22×C3111yescharacteristic
375C2×C22⋊Q8C22×C3111yescharacteristic
376C2×#121C22×C3111yescharacteristic
377C2×#121C22×C3111yescharacteristic
378#484C22×C3111yescharacteristic, complemented
379#482—21no—
380#481—21no—
381#481C22×C3112yes—
382#481C22×C3111yescharacteristic, complemented
383#469—22no—
384#466—21no—
385#465—21no—
386#450C22×C3111yescharacteristic, complemented
387#449—21no—
388#447—21no—
389#447C22×C3112yes—
390#447C22×C3111yescharacteristic, complemented
391#407C22×C3111yescharacteristic
392C2×C22⋊C8C22×C3111yescharacteristic
393#400C22×C3112yescomplemented
394#397—21no—
395#394C22×C3112yescomplemented
396#393—21no—
397#386—22no—
398C2×#95C22×C3111yescharacteristic
399#328C22×C3112yescomplemented
400#327C22×C3112yes—
401#327C22×C3112yes—
402#327C22×C3112yescomplemented
403#324C22×C3112yescomplemented
404#324C22×C3112yescomplemented
405C2×C31—21no—
406C2×C31—21no—
407C2×C31—22no—
408C2×C31—41no—
409C2×C31—81no—
410C2×C31—82no—
411C2×C31—161no—
412C2×C31#301211yescharacteristic
413C2×C31C2×#45411yescharacteristic
414C2×C31#302611yescharacteristic
415C2×#41—21no—
416C2×#41—22no—
417C2×#41D4×C3111yescharacteristic
418C22×Q8D4×C3111yescharacteristic
419C22×D4—21no—
420C22×D4—21no—
421C22×D4D4×C3111yescharacteristic
422C22×D4C23×C3111yescharacteristic
423C23×C4—21no—
424C23×C4C23×C3111yescharacteristic
425C2×SD16—21no—
426C2×D8—22no—
427C2×D8—21no—
428C2×M16—21no—
429C22×C8—21no—
430C4⋊Q8—21no—
431#126—22no—
432#125—22no—
433#124—22no—
434#124—21no—
435#124—22no—
436#123—22no—
437#123—22no—
438#123—22no—
439#123—21no—
440#123—22no—
441C22⋊Q8—21no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8—21no—
447C22⋊Q8—21no—
448C22⋊Q8—21no—
449C22⋊Q8—21no—
450C22⋊Q8—22no—
451C22⋊Q8—22no—
452C22⋊Q8D4×C3111yescharacteristic
453C22⋊Q8C23×C3111yescharacteristic
454#121—21no—
455#121—22no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—21no—
460#121—21no—
461#121—22no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121D4×C3112yes—
467#121D4×C3111yescharacteristic
468#121C23×C3112yes—
469#121C23×C3111yescharacteristic
470#120—22no—
471#120—21no—
472C4×Q8—21no—
473C4×D4—22no—
474C4×D4—21no—
475C4×D4—21no—
476C4×D4—21no—
477C4×D4—22no—
478#117D4×C3111yescharacteristic
479C2×C4⋊C4—21no—
480C2×C4⋊C4D4×C3111yescharacteristic
481C2×C4⋊C4D4×C3111yescharacteristic
482C2×C4⋊C4C23×C3111yescharacteristic
483C2×C4⋊C4C23×C3112yes—
484C2×C22⋊C4—22no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—22no—
488C2×C22⋊C4—22no—
489C2×C22⋊C4D4×C3112yes—
490#107—21no—
491#106—21no—
492#106—22no—
493#103—21no—
494#102—22no—
495#102—21no—
496#102—22no—
497#102—21no—
498#102—21no—
499C22⋊C8—21no—
500C22⋊C8—21no—
501C22⋊C8C23×C3111yescharacteristic
502C22⋊C8C23×C3111yescharacteristic
503C22⋊C8C23×C3112yes—
504#95—21no—
505#95—22no—
506#95—22no—
507#95C23×C3112yes—
508C31#1842411yescharacteristic, direct product factor, Sylow
509C24—21no—
510C24—21no—
511C24C2×D4×C3111yescharacteristic
512#41—82no—
513#41—82no—
514#41—81no—
515#41—82no—
516C2×Q8—22no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—81no—
520C2×Q8C2×D4×C3111yescharacteristic
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—44no—
532C2×D4—41no—
533C2×D4—41no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4—81no—
537C2×D4—81no—
538C2×D4C2×D4×C3111yescharacteristic
539C2×D4C2×D4×C3112yes—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—42no—
548C22×C4—81no—
549C22×C4—81no—
550C22×C4—81no—
551C22×C4C2×D4×C3112yes—
552C22×C4C2×D4×C3112yes—
553C22×C4C2×D4×C3111yescharacteristic
554C22×C4C2×D4×C3111yescharacteristic
555C22×C4C2×D4×C3111yescharacteristic
556C22×C4C2×D4×C3111yescharacteristic
557C22×C4C2×D4×C3111yescharacteristic
558C22×C4C24×C3111yescharacteristic
559SD16—81no—
560D8—81no—
561D8—82no—
562M16—81no—
563C2×C8—21no—
564C2×C8—22no—
565C2×C8—21no—
566C2×C8—81no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4C2×D4×C3112yes—
581C4⋊C4C2×D4×C3111yescharacteristic
582C4⋊C4C2×D4×C3111yescharacteristic
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—21no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—21no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C42—22no—
602C42—21no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—21no—
608C23—41no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—81no—
616C23—81no—
617C23C31×#12011yescharacteristic
618C23C31×#12011yescharacteristic
619C23C22×D4×C3111yescharacteristic
620Q8—41no—
621Q8—42no—
622Q8—81no—
623Q8—82no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—42no—
628D4—41no—
629D4—41no—
630D4—42no—
631D4—42no—
632D4—41no—
633D4—42no—
634D4—41no—
635D4—82no—
636D4—81no—
637D4—82no—
638D4—82no—
639D4—82no—
640D4—82no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4—82no—
666C2×C4—84no—
667C2×C4C31×#12011yescharacteristic
668C2×C4C31×#12011yescharacteristic
669C2×C4C22×D4×C3111yescharacteristic
670C2×C4C22×D4×C3111yescharacteristic
671C8—41no—
672C8—41no—
673C8—42no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—42no—
682C22—42no—
683C22—41no—
684C22—42no—
685C22—41no—
686C22—42no—
687C22—41no—
688C22—42no—
689C22—82no—
690C22—82no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—162no—
695C22C31×#45412yes—
696C22C2×C31×#12011yescharacteristic
697C22C31×#57611yescharacteristic
698C22C31×#57711yescharacteristic
699C4—21no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—42no—
704C4—42no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—42no—
709C4—82no—
710C4—81no—
711C2—21no—
712C2—21no—
713C2—22no—
714C2—41no—
715C2—82no—
716C2—81no—
717C2—161no—
718C2C31×#301211yescharacteristic
719C2C2×C31×#45411yescharacteristic
720C2C31×#302611yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
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
1. C31×#3536C2semidirect
2. C31×#3192C2semidirect
3. C31×#3188C2semidirect
4. C31×#2639C2semidirect
5. C31×#1616C2semidirect
6. C31×#1615C2semidirect
7. C31×#1598C2semidirect
8. C31×#1597C2semidirect
9. C31×#1504C2semidirect
10. C2×C31×#327C2semidirect
11. C31×#1472C2semidirect
28. C31×#484C22semidirect
32. C31×#481C22semidirect
36. C31×#450C22semidirect
40. C31×#447C22semidirect
43. C31×#400C22semidirect
45. C31×#394C22semidirect
49. C31×#328C22semidirect
52. C31×#327C22semidirect
53. C31×#324C22semidirect
54. C31×#324C22semidirect
242. #18424C31direct (N × H)
314. #3536C2×C31semidirect
315. #3192C2×C31semidirect
316. #3188C2×C31semidirect
317. #2639C2×C31semidirect
318. #1616C2×C31semidirect
319. #1615C2×C31semidirect
320. #1598C2×C31semidirect
321. #1597C2×C31semidirect
322. #1504C2×C31semidirect
323. C2×#327C2×C31semidirect
324. #1472C2×C31semidirect
378. #484C22×C31semidirect
382. #481C22×C31semidirect
386. #450C22×C31semidirect
390. #447C22×C31semidirect
393. #400C22×C31semidirect
395. #394C22×C31semidirect
399. #328C22×C31semidirect
402. #327C22×C31semidirect
403. #324C22×C31semidirect
404. #324C22×C31semidirect
508. C31#18424direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35362
C31×#31922
C31×#31882
C31×#26392
C31×#16162
C31×#16152
C31×#15982
C31×#15972
C31×#15042
C2×C31×#3272
C31×#14722
#1842431