Finite Group Databasebeta

← C31×#26850 #21483609

Subgroups — C31×#26850 #21483609

Order 7936.

776 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3136C211yesmaximal, characteristic, complemented
2C31×#3096C211yesmaximal, characteristic, complemented
3C31×#3081C211yesmaximal, characteristic, complemented
4C31×#2946C211yesmaximal, characteristic, complemented
5C31×#2063C211yesmaximal, characteristic, complemented
6C31×#2060C211yesmaximal, characteristic, complemented
7C31×#2051C211yesmaximal, characteristic, complemented
8C31×#2002C211yesmaximal, characteristic
9C31×#1957C211yesmaximal, characteristic, complemented
10C31×#1937C211yesmaximal, characteristic, complemented
11C31×#1931C211yesmaximal, characteristic, complemented
12C31×#1931C211yesmaximal, characteristic, complemented
13C31×#1887C211yesmaximal, characteristic, complemented
14C31×#1859C211yesmaximal, characteristic, complemented
15C31×#1772C211yesmaximal, characteristic, complemented
16C2×C31×AGL(1,ℤ/8)C2211yescharacteristic
17C31×#544C2211yescharacteristic
18C31×#535C2211yescharacteristic
19C2×C31×#127C2211yescharacteristic
20C31×#520C2211yescharacteristic
21C31×#518C2211yescharacteristic
22C31×#490—21no—
23C31×#489—21no—
24C31×#488—21no—
25C31×#486—21no—
26C31×#482—21no—
27C31×#482—21no—
28C31×#481—21no—
29C31×#480—21no—
30C31×#478—21no—
31C31×#478—21no—
32C31×#476—21no—
33C31×#474—21no—
34C31×#442—21no—
35C31×#440—21no—
36C4×SD16×C31—21no—
37C4×D8×C31—21no—
38C2×C31×#108C2211yescharacteristic
39C31×#428C2211yescharacteristic
40C31×#428C2211yescharacteristic
41C31×#428C2211yescharacteristic
42C31×#427C2211yescharacteristic
43C31×#424C2211yescharacteristic
44C2×C31×#104C2211yescharacteristic
45C31×#418C2211yescharacteristic
46C31×#418C2211yescharacteristic
47C31×#418C2211yescharacteristic
48C31×#417C2211yescharacteristic
49C31×#416C2211yescharacteristic
50C2×C31×#102C2211yescharacteristic
51C2×C31×#102C2211yescharacteristic
52C2×C31×#102C2211yescharacteristic
53C2×C31×#102C2211yescharacteristic
54C2×C31×#100C2211yescharacteristic
55C2×C31×#100C2211yescharacteristic
56C31×#408C2211yescharacteristic
57C31×#405C2211yescharacteristic
58C31×#405C2211yescharacteristic
59C2×C4×C8×C31C2211yescharacteristic
60C31×#384C2211yescharacteristic
61C31×#343C2211yescharacteristic
62C31×#343C2211yescharacteristic
63C31×#341C2211yescharacteristic
64C31×#339C2211yescharacteristic
65C31×#339C2211yescharacteristic
66C31×#339C2211yescharacteristic
67C2×#41×C31C2311yescharacteristic
68C22×D4×C31—41no—
69C22×D4×C31C2311yescharacteristic
70C22×D4×C31C2311yescharacteristic
71C31×AGL(1,ℤ/8)—22no—
72C31×AGL(1,ℤ/8)—22no—
73C2×SD16×C31—21no—
74C2×D8×C31—21no—
75C2×M16×C31C2311yescharacteristic
76C2×M16×C31C2311yescharacteristic
77C2×M16×C31C2311yescharacteristic
78C2×M16×C31C2311yescharacteristic
79C22×C8×C31C2311yescharacteristic
80C22×C8×C31C2311yescharacteristic
81C31×C4⋊Q8—21no—
82C31×C4⋊Q8—21no—
83C31×#127—21no—
84C31×#127—22no—
85C31×#127—22no—
86C31×#125—21no—
87C31×#125—21no—
88C31×#124—21no—
89C31×C22⋊Q8—41no—
90C31×#121—21no—
91C31×#121—21no—
92C31×#120—41no—
93C4×Q8×C31—21no—
94C4×D4×C31—21no—
95C4×D4×C31—21no—
96C4×D4×C31—21no—
97C4×D4×C31—21no—
98C4×D4×C31—21no—
99C4×D4×C31—41no—
100C31×#117—21no—
101C31×#117C2311yescharacteristic
102C31×#117C2311yescharacteristic
103C31×#117C2311yescharacteristic
104C2×C4⋊C4×C31—21no—
105C2×C4⋊C4×C31—41no—
106C2×C4⋊C4×C31C2311yescharacteristic
107C2×C4⋊C4×C31C2311yescharacteristic
108C2×C22⋊C4×C31—41no—
109C2×C42×C31C2311yescharacteristic
110C31×#108—22no—
111C31×#107—21no—
112C31×#107—21no—
113C31×#107—21no—
114C31×#107D411yescharacteristic, complemented
115C31×#107D411yescharacteristic, complemented
116C31×#106—21no—
117C31×#106—21no—
118C31×#106—21no—
119C31×#106D411yescharacteristic, complemented
120C31×#106D411yescharacteristic, complemented
121C31×C4⋊C8—21no—
122C31×C4⋊C8—21no—
123C31×#104—22no—
124C31×#103—21no—
125C31×#103D411yescharacteristic, complemented
126C31×#103D411yescharacteristic, complemented
127C31×#102—21no—
128C31×#102—21no—
129C31×#102—21no—
130C31×#102—21no—
131C31×#102—21no—
132C31×#102—21no—
133C31×#102—21no—
134C31×#102—21no—
135C31×#102—21no—
136C31×#102—21no—
137C31×#102—21no—
138C31×#102—21no—
139C31×#102—21no—
140C31×#102—21no—
141C31×#102—21no—
142C31×#102D411yescharacteristic, complemented
143C31×#102D411yescharacteristic, complemented
144C31×#100—22no—
145C31×#100—22no—
146C31×C22⋊C8—21no—
147C31×C22⋊C8—21no—
148C31×#97—21no—
149C31×#97—21no—
150C4×C8×C31—21no—
151C4×C8×C31—21no—
152C4×C8×C31—22no—
153C24×C31—21no—
154C24×C31—21no—
155#41×C31—21no—
156#41×C31—21no—
157#41×C31—21no—
158#41×C31—21no—
159C2×Q8×C31—41no—
160C2×Q8×C31C2×D411yescharacteristic
161C2×D4×C31—21no—
162C2×D4×C31—21no—
163C2×D4×C31—21no—
164C2×D4×C31—21no—
165C2×D4×C31—21no—
166C2×D4×C31—21no—
167C2×D4×C31—21no—
168C2×D4×C31—21no—
169C2×D4×C31—21no—
170C2×D4×C31—21no—
171C2×D4×C31—21no—
172C2×D4×C31—21no—
173C2×D4×C31—44no—
174C2×D4×C31—41no—
175C2×D4×C31—41no—
176C2×D4×C31—82no—
177C2×D4×C31—82no—
178C2×D4×C31C2×D411yescharacteristic
179C2×D4×C31#4112yes—
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—21no—
183C22×C4×C31—21no—
184C22×C4×C31—41no—
185C22×C4×C31—41no—
186C22×C4×C31—41no—
187C22×C4×C31C2411yescharacteristic
188SD16×C31—24no—
189D8×C31—24no—
190M16×C31—21no—
191M16×C31—21no—
192M16×C31—21no—
193M16×C31—21no—
194M16×C31—21no—
195M16×C31—21no—
196M16×C31—21no—
197M16×C31#4112yes—
198C2×C8×C31—21no—
199C2×C8×C31—21no—
200C2×C8×C31—21no—
201C2×C8×C31—21no—
202C2×C8×C31—21no—
203C2×C8×C31—21no—
204C2×C8×C31—21no—
205C2×C8×C31—21no—
206C2×C8×C31C2×D411yescharacteristic
207C2×C8×C31C2×D411yescharacteristic
208C2×C8×C31C2×D411yescharacteristic
209C2×C8×C31C2×D411yescharacteristic
210C4⋊C4×C31—21no—
211C4⋊C4×C31—21no—
212C4⋊C4×C31—21no—
213C4⋊C4×C31—21no—
214C4⋊C4×C31—41no—
215C4⋊C4×C31—41no—
216C4⋊C4×C31—41no—
217C4⋊C4×C31—41no—
218C4⋊C4×C31—82no—
219C4⋊C4×C31C2×D411yescharacteristic
220C4⋊C4×C31C2×D411yescharacteristic
221C4⋊C4×C31C2×D411yescharacteristic
222C4⋊C4×C31C2×D411yescharacteristic
223C4⋊C4×C31C2×D411yescharacteristic
224C4⋊C4×C31C2×D411yescharacteristic
225C22⋊C4×C31—21no—
226C22⋊C4×C31—21no—
227C22⋊C4×C31—21no—
228C22⋊C4×C31—41no—
229C22⋊C4×C31—41no—
230C22⋊C4×C31—41no—
231C22⋊C4×C31—41no—
232C22⋊C4×C31—41no—
233C42×C31—21no—
234C42×C31—21no—
235C42×C31—21no—
236C42×C31—21no—
237C42×C31—41no—
238C42×C31#4112yes—
239#26850C3111yesmaximal, characteristic, direct product factor, Sylow
240C23×C31—21no—
241C23×C31—22no—
242C23×C31—41no—
243C23×C31—41no—
244C23×C31—41no—
245C23×C31—41no—
246C23×C31—41no—
247C23×C31—81no—
248C23×C31—81no—
249C23×C31—81no—
250C23×C31—81no—
251C23×C31H(5,𝔽2)11yescharacteristic
252Q8×C31—21no—
253Q8×C31—21no—
254Q8×C31—161no—
255D4×C31—21no—
256D4×C31—22no—
257D4×C31—21no—
258D4×C31—22no—
259D4×C31—41no—
260D4×C31—41no—
261D4×C31—41no—
262D4×C31—41no—
263D4×C31—41no—
264D4×C31—41no—
265D4×C31—41no—
266D4×C31—41no—
267D4×C31—88no—
268D4×C31—161no—
269D4×C31—161no—
270C2×C4×C31—22no—
271C2×C4×C31—22no—
272C2×C4×C31—22no—
273C2×C4×C31—21no—
274C2×C4×C31—21no—
275C2×C4×C31—21no—
276C2×C4×C31—21no—
277C2×C4×C31—21no—
278C2×C4×C31—21no—
279C2×C4×C31—21no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—41no—
284C2×C4×C31—81no—
285C2×C4×C31—81no—
286C2×C4×C31—161no—
287C2×C4×C31—161no—
288C2×C4×C31—161no—
289C2×C4×C31C22×D411yescharacteristic
290C2×C4×C31C22×D411yescharacteristic
291C2×C4×C31C2×#4111yescharacteristic
292C2×C4×C31C2×#4111yescharacteristic
293C2×C4×C31C2×#4111yescharacteristic
294C2×C4×C312−1+411yescharacteristic
295C8×C31—22no—
296C8×C31—21no—
297C8×C31—21no—
298C8×C31—21no—
299C8×C31—21no—
300C8×C31—41no—
301C8×C31—41no—
302C8×C31—41no—
303#3136C2×C3111yescharacteristic, complemented
304#3096C2×C3111yescharacteristic, complemented
305#3081C2×C3111yescharacteristic, complemented
306#2946C2×C3111yescharacteristic, complemented
307#2063C2×C3111yescharacteristic, complemented
308#2060C2×C3111yescharacteristic, complemented
309#2051C2×C3111yescharacteristic, complemented
310#2002C2×C3111yescharacteristic
311#1957C2×C3111yescharacteristic, complemented
312#1937C2×C3111yescharacteristic, complemented
313#1931C2×C3111yescharacteristic, complemented
314#1931C2×C3111yescharacteristic, complemented
315#1887C2×C3111yescharacteristic, complemented
316#1859C2×C3111yescharacteristic, complemented
317#1772C2×C3111yescharacteristic, complemented
318C22×C31—21no—
319C22×C31—21no—
320C22×C31—41no—
321C22×C31—42no—
322C22×C31—41no—
323C22×C31—41no—
324C22×C31—82no—
325C22×C31—82no—
326C22×C31—81no—
327C22×C31—81no—
328C22×C31—81no—
329C22×C31—81no—
330C22×C31—81no—
331C22×C31—161no—
332C22×C31—161no—
333C22×C31#54211yescharacteristic
334C22×C31D4211yescharacteristic
335C22×C31#55111yescharacteristic
336C4×C31—24no—
337C4×C31—41no—
338C4×C31—41no—
339C4×C31—41no—
340C4×C31—41no—
341C4×C31—41no—
342C4×C31—41no—
343C4×C31—41no—
344C4×C31—81no—
345C4×C31—81no—
346C4×C31#52511yescharacteristic
347C4×C31#53211yescharacteristic
348C4×C31#54711yescharacteristic
349C4×C31#54811yescharacteristic
350C2×AGL(1,ℤ/8)C22×C3111yescharacteristic
351#544C22×C3111yescharacteristic
352#535C22×C3111yescharacteristic
353C2×#127C22×C3111yescharacteristic
354#520C22×C3111yescharacteristic
355#518C22×C3111yescharacteristic
356#490—21no—
357#489—21no—
358#488—21no—
359#486—21no—
360#482—21no—
361#482—21no—
362#481—21no—
363#480—21no—
364#478—21no—
365#478—21no—
366#476—21no—
367#474—21no—
368#442—21no—
369#440—21no—
370C4×SD16—21no—
371C4×D8—21no—
372C2×#108C22×C3111yescharacteristic
373#428C22×C3111yescharacteristic
374#428C22×C3111yescharacteristic
375#428C22×C3111yescharacteristic
376#427C22×C3111yescharacteristic
377#424C22×C3111yescharacteristic
378C2×#104C22×C3111yescharacteristic
379#418C22×C3111yescharacteristic
380#418C22×C3111yescharacteristic
381#418C22×C3111yescharacteristic
382#417C22×C3111yescharacteristic
383#416C22×C3111yescharacteristic
384C2×#102C22×C3111yescharacteristic
385C2×#102C22×C3111yescharacteristic
386C2×#102C22×C3111yescharacteristic
387C2×#102C22×C3111yescharacteristic
388C2×#100C22×C3111yescharacteristic
389C2×#100C22×C3111yescharacteristic
390#408C22×C3111yescharacteristic
391#405C22×C3111yescharacteristic
392#405C22×C3111yescharacteristic
393C2×C4×C8C22×C3111yescharacteristic
394#384C22×C3111yescharacteristic
395#343C22×C3111yescharacteristic
396#343C22×C3111yescharacteristic
397#341C22×C3111yescharacteristic
398#339C22×C3111yescharacteristic
399#339C22×C3111yescharacteristic
400#339C22×C3111yescharacteristic
401C2×C31—21no—
402C2×C31—21no—
403C2×C31—81no—
404C2×C31—82no—
405C2×C31—161no—
406C2×C31#246111yescharacteristic
407C2×C31#329111yescharacteristic
408C2×C31#329211yescharacteristic
409C2×#41C23×C3111yescharacteristic
410C22×D4—41no—
411C22×D4C23×C3111yescharacteristic
412C22×D4C23×C3111yescharacteristic
413AGL(1,ℤ/8)—22no—
414AGL(1,ℤ/8)—22no—
415C2×SD16—21no—
416C2×D8—21no—
417C2×M16C23×C3111yescharacteristic
418C2×M16C23×C3111yescharacteristic
419C2×M16C23×C3111yescharacteristic
420C2×M16C23×C3111yescharacteristic
421C22×C8C23×C3111yescharacteristic
422C22×C8C23×C3111yescharacteristic
423C4⋊Q8—21no—
424C4⋊Q8—21no—
425#127—21no—
426#127—22no—
427#127—22no—
428#125—21no—
429#125—21no—
430#124—21no—
431C22⋊Q8—41no—
432#121—21no—
433#121—21no—
434#120—41no—
435C4×Q8—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4—41no—
442#117—21no—
443#117C23×C3111yescharacteristic
444#117C23×C3111yescharacteristic
445#117C23×C3111yescharacteristic
446C2×C4⋊C4—21no—
447C2×C4⋊C4—41no—
448C2×C4⋊C4C23×C3111yescharacteristic
449C2×C4⋊C4C23×C3111yescharacteristic
450C2×C22⋊C4—41no—
451C2×C42C23×C3111yescharacteristic
452#108—22no—
453#107—21no—
454#107—21no—
455#107—21no—
456#107D4×C3111yescharacteristic, complemented
457#107D4×C3111yescharacteristic, complemented
458#106—21no—
459#106—21no—
460#106—21no—
461#106D4×C3111yescharacteristic, complemented
462#106D4×C3111yescharacteristic, complemented
463C4⋊C8—21no—
464C4⋊C8—21no—
465#104—22no—
466#103—21no—
467#103D4×C3111yescharacteristic, complemented
468#103D4×C3111yescharacteristic, complemented
469#102—21no—
470#102—21no—
471#102—21no—
472#102—21no—
473#102—21no—
474#102—21no—
475#102—21no—
476#102—21no—
477#102—21no—
478#102—21no—
479#102—21no—
480#102—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102D4×C3111yescharacteristic, complemented
485#102D4×C3111yescharacteristic, complemented
486#100—22no—
487#100—22no—
488C22⋊C8—21no—
489C22⋊C8—21no—
490#97—21no—
491#97—21no—
492C4×C8—21no—
493C4×C8—21no—
494C4×C8—22no—
495C31#2685011yescharacteristic, direct product factor, Sylow
496C24—21no—
497C24—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502C2×Q8—41no—
503C2×Q8C2×D4×C3111yescharacteristic
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—44no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—82no—
520C2×D4—82no—
521C2×D4C2×D4×C3111yescharacteristic
522C2×D4#41×C3112yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4C24×C3111yescharacteristic
531SD16—24no—
532D8—24no—
533M16—21no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—21no—
539M16—21no—
540M16#41×C3112yes—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8C2×D4×C3111yescharacteristic
550C2×C8C2×D4×C3111yescharacteristic
551C2×C8C2×D4×C3111yescharacteristic
552C2×C8C2×D4×C3111yescharacteristic
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—41no—
560C4⋊C4—41no—
561C4⋊C4—82no—
562C4⋊C4C2×D4×C3111yescharacteristic
563C4⋊C4C2×D4×C3111yescharacteristic
564C4⋊C4C2×D4×C3111yescharacteristic
565C4⋊C4C2×D4×C3111yescharacteristic
566C4⋊C4C2×D4×C3111yescharacteristic
567C4⋊C4C2×D4×C3111yescharacteristic
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—41no—
572C22⋊C4—41no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42—21no—
580C42—41no—
581C42#41×C3112yes—
582C23—21no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—81no—
590C23—81no—
591C23—81no—
592C23—81no—
593C23C31×H(5,𝔽2)11yescharacteristic
594Q8—21no—
595Q8—21no—
596Q8—161no—
597D4—21no—
598D4—22no—
599D4—21no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—41no—
609D4—88no—
610D4—161no—
611D4—161no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—161no—
629C2×C4—161no—
630C2×C4—161no—
631C2×C4C22×D4×C3111yescharacteristic
632C2×C4C22×D4×C3111yescharacteristic
633C2×C4C2×#41×C3111yescharacteristic
634C2×C4C2×#41×C3111yescharacteristic
635C2×C4C2×#41×C3111yescharacteristic
636C2×C4C31×2−1+411yescharacteristic
637C8—22no—
638C8—21no—
639C8—21no—
640C8—21no—
641C8—21no—
642C8—41no—
643C8—41no—
644C8—41no—
645C22—21no—
646C22—21no—
647C22—41no—
648C22—42no—
649C22—41no—
650C22—41no—
651C22—82no—
652C22—82no—
653C22—81no—
654C22—81no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—161no—
659C22—161no—
660C22C31×#54211yescharacteristic
661C22D42×C3111yescharacteristic
662C22C31×#55111yescharacteristic
663C4—24no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—81no—
672C4—81no—
673C4C31×#52511yescharacteristic
674C4C31×#53211yescharacteristic
675C4C31×#54711yescharacteristic
676C4C31×#54811yescharacteristic
677C2—21no—
678C2—21no—
679C2—81no—
680C2—82no—
681C2—161no—
682C2C31×#246111yescharacteristic
683C2C31×#329111yescharacteristic
684C2C31×#329211yescharacteristic
subgroupG/H
center, socleC22×C31D42
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#2002C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C22×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3136C2semidirect
2. C31×#3096C2semidirect
3. C31×#3081C2semidirect
4. C31×#2946C2semidirect
5. C31×#2063C2semidirect
6. C31×#2060C2semidirect
7. C31×#2051C2semidirect
9. C31×#1957C2semidirect
10. C31×#1937C2semidirect
11. C31×#1931C2semidirect
12. C31×#1931C2semidirect
13. C31×#1887C2semidirect
14. C31×#1859C2semidirect
15. C31×#1772C2semidirect
114. C31×#107D4semidirect
115. C31×#107D4semidirect
119. C31×#106D4semidirect
120. C31×#106D4semidirect
125. C31×#103D4semidirect
126. C31×#103D4semidirect
142. C31×#102D4semidirect
143. C31×#102D4semidirect
239. #26850C31direct (N × H)
303. #3136C2×C31semidirect
304. #3096C2×C31semidirect
305. #3081C2×C31semidirect
306. #2946C2×C31semidirect
307. #2063C2×C31semidirect
308. #2060C2×C31semidirect
309. #2051C2×C31semidirect
311. #1957C2×C31semidirect
312. #1937C2×C31semidirect
313. #1931C2×C31semidirect
314. #1931C2×C31semidirect
315. #1887C2×C31semidirect
316. #1859C2×C31semidirect
317. #1772C2×C31semidirect
456. #107D4×C31semidirect
457. #107D4×C31semidirect
461. #106D4×C31semidirect
462. #106D4×C31semidirect
467. #103D4×C31semidirect
468. #103D4×C31semidirect
484. #102D4×C31semidirect
485. #102D4×C31semidirect
495. C31#26850direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#31362
C31×#30962
C31×#30812
C31×#29462
C31×#20632
C31×#20602
C31×#20512
C31×#20022
C31×#19572
C31×#19372
C31×#19312
C31×#18872
C31×#18592
C31×#17722
#2685031