Finite Group Databasebeta

← C31×#24637 #21481396

Subgroups — C31×#24637 #21481396

Order 7936.

840 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#464C211yesmaximal, characteristic
2C2×C4×Q16×C31C211yesmaximal, characteristic, complemented
3C31×#2545C211yesmaximal, characteristic
4C31×#2356C211yesmaximal, characteristic, complemented
5C31×#2056C211yesmaximal, characteristic, complemented
6C31×#2055C211yesmaximal, characteristic
7C31×#2016C211yesmaximal, characteristic, complemented
8C31×#2015C211yesmaximal, characteristic
9C31×#1983C211yesmaximal, characteristic
10C31×#1981C211yesmaximal, characteristic, complemented
11C31×#1958C211yesmaximal, characteristic
12C31×#1939C211yesmaximal, characteristic, complemented
13C31×#1928C211yesmaximal, characteristic, complemented
14C31×#1925C211yesmaximal, characteristic
15C31×#1805C211yesmaximal, characteristic, complemented
16C22×Q16×C31C2211yescharacteristic
17C22×Q16×C31C2211yescharacteristic
18C22×SD16×C31C2211yescharacteristic
19C2×C31×C4⋊Q8C2211yescharacteristic
20C2×C31×#124C2211yescharacteristic
21C2×C31×#124C2211yescharacteristic
22C2×C4×Q8×C31C2211yescharacteristic
23C2×C4×Q8×C31C2211yescharacteristic
24C31×#464—24no—
25C4×Q16×C31—24no—
26C2×C31×#107C2211yescharacteristic
27C2×C31×C4⋊C8C2211yescharacteristic
28C2×C31×C4⋊C8C2211yescharacteristic
29C2×C31×C4⋊C8C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#103C2211yescharacteristic
35C2×C31×#103C2211yescharacteristic
36C2×C31×#103C2211yescharacteristic
37C2×C31×#102C2211yescharacteristic
38C2×C31×#102C2211yescharacteristic
39C2×C31×#102C2211yescharacteristic
40C2×C4×C8×C31C2211yescharacteristic
41C31×#396—21no—
42C31×#396—21no—
43C31×#391C2211yescharacteristic
44C31×#391C2211yescharacteristic
45C31×#391C2211yescharacteristic
46C31×#390C2211yescharacteristic
47C31×#388—21no—
48C31×#388—21no—
49C31×#387—21no—
50C31×#387—21no—
51C31×#383—21no—
52C31×#382C2211yescharacteristic
53C4×C4⋊C4×C31C2211yescharacteristic
54C4×C4⋊C4×C31C2211yescharacteristic
55C4×C4⋊C4×C31C2211yescharacteristic
56C31×#376—21no—
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31C2311yescharacteristic
62C22×Q8×C31C2311yescharacteristic
63C22×Q8×C31C2311yescharacteristic
64C22×D4×C31C2311yescharacteristic
65C2×Q16×C31—22no—
66C2×Q16×C31—22no—
67C2×Q16×C31—22no—
68C2×Q16×C31—22no—
69C2×Q16×C31—41no—
70C2×Q16×C31—41no—
71C2×SD16×C31—22no—
72C2×SD16×C31—41no—
73C2×SD16×C31—41no—
74C22×C8×C31C2311yescharacteristic
75C22×C8×C31C2311yescharacteristic
76C22×C8×C31C2311yescharacteristic
77C22×C8×C31C2311yescharacteristic
78C31×C4⋊Q8—22no—
79C31×C4⋊Q8—41no—
80C31×#124—22no—
81C31×#124—22no—
82C31×#124—22no—
83C31×#124—41no—
84C4×Q8×C31—22no—
85C4×Q8×C31—22no—
86C4×Q8×C31—22no—
87C4×Q8×C31D414yes—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31D411yescharacteristic
93C2×C4⋊C4×C31D411yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C42×C31—21no—
105C2×C42×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31—21no—
108C2×C42×C31C2311yescharacteristic
109C2×C42×C31C2311yescharacteristic
110C2×C42×C31C2311yescharacteristic
111C31×#107—22no—
112C31×C4⋊C8—22no—
113C31×C4⋊C8—41no—
114C31×C4⋊C8—41no—
115C31×#103—22no—
116C31×#103—22no—
117C31×#103—22no—
118C31×#103—22no—
119C31×#103—41no—
120C31×#103—41no—
121C31×#103—41no—
122C31×#102—22no—
123C31×#102—22no—
124C31×#102—41no—
125C4×C8×C31—22no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95—21no—
131C31×#95—21no—
132C31×#95—21no—
133C31×#95—21no—
134C31×#95—21no—
135C31×#95—21no—
136C31×#95D411yescharacteristic
137C31×#95D411yescharacteristic
138C24×C31—21no—
139C2×Q8×C31—21no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—21no—
144C2×Q8×C31—21no—
145C2×Q8×C31—21no—
146C2×Q8×C31—21no—
147C2×Q8×C31—21no—
148C2×Q8×C31—21no—
149C2×Q8×C31—21no—
150C2×Q8×C31—21no—
151C2×Q8×C31—21no—
152C2×Q8×C31—21no—
153C2×Q8×C31—21no—
154C2×Q8×C31—21no—
155C2×Q8×C31C2×D412yes—
156C2×Q8×C31#4112yes—
157C2×D4×C31—21no—
158C2×D4×C31—21no—
159C2×D4×C31—21no—
160C2×D4×C31—21no—
161C2×D4×C31—21no—
162C2×D4×C31—21no—
163C22×C4×C31—21no—
164C22×C4×C31—21no—
165C22×C4×C31—21no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—21no—
169C22×C4×C31—21no—
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2×D411yescharacteristic
173C22×C4×C31C2×D411yescharacteristic
174C22×C4×C31C2×D411yescharacteristic
175C22×C4×C31C2×D411yescharacteristic
176C22×C4×C31C2411yescharacteristic
177Q16×C31—28no—
178Q16×C31—44no—
179SD16×C31—44no—
180C2×C8×C31—21no—
181C2×C8×C31—21no—
182C2×C8×C31—21no—
183C2×C8×C31—21no—
184C2×C8×C31—21no—
185C2×C8×C31—21no—
186C2×C8×C31—21no—
187C2×C8×C31—21no—
188C2×C8×C31—21no—
189C2×C8×C31—21no—
190C2×C8×C31—21no—
191C2×C8×C31#4112yes—
192C4⋊C4×C31—24no—
193C4⋊C4×C31—22no—
194C4⋊C4×C31—21no—
195C4⋊C4×C31—21no—
196C4⋊C4×C31—21no—
197C4⋊C4×C31—21no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—21no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—41no—
202C4⋊C4×C31—42no—
203C4⋊C4×C31—42no—
204C4⋊C4×C31—42no—
205C4⋊C4×C31C2×D412yes—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—42no—
208C22⋊C4×C31—42no—
209C22⋊C4×C31—42no—
210C22⋊C4×C31—42no—
211C22⋊C4×C31—42no—
212C42×C31—24no—
213C42×C31—21no—
214C42×C31—21no—
215C42×C31—21no—
216C42×C31—21no—
217C42×C31—42no—
218C42×C31—42no—
219C42×C31—42no—
220C42×C31C2×D412yes—
221C42×C31#4112yes—
222#24637C3111yesmaximal, characteristic, direct product factor, Sylow
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31C22×D411yescharacteristic
231Q8×C31—22no—
232Q8×C31—22no—
233Q8×C31—22no—
234Q8×C31—22no—
235Q8×C31—41no—
236Q8×C31—41no—
237Q8×C31—41no—
238Q8×C31—41no—
239Q8×C31—41no—
240Q8×C31—41no—
241Q8×C31—41no—
242Q8×C31—41no—
243D4×C31—41no—
244D4×C31—41no—
245D4×C31—41no—
246D4×C31—41no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—22no—
254C2×C4×C31—22no—
255C2×C4×C31—21no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—22no—
259C2×C4×C31—21no—
260C2×C4×C31—21no—
261C2×C4×C31—21no—
262C2×C4×C31—21no—
263C2×C4×C31—21no—
264C2×C4×C31—21no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—41no—
269C2×C4×C31—41no—
270C2×C4×C31—41no—
271C2×C4×C31—41no—
272C2×C4×C31—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—41no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31#12112yes—
284C2×C4×C31#12112yes—
285C2×C4×C31#13512yes—
286C2×C4×C31C22×D411yescharacteristic
287C2×C4×C31C2×#4111yescharacteristic
288C2×C4×C31C2×#4111yescharacteristic
289C2×C4×C31C2×#4111yescharacteristic
290C2×C4×C31H(5,𝔽2)11yescharacteristic
291C2×C4×C31H(5,𝔽2)11yescharacteristic
292C8×C31—22no—
293C8×C31—41no—
294C8×C31—41no—
295C8×C31—41no—
296C2×#464C2×C3111yescharacteristic
297C2×C4×Q16C2×C3111yescharacteristic, complemented
298#2545C2×C3111yescharacteristic
299#2356C2×C3111yescharacteristic, complemented
300#2056C2×C3111yescharacteristic, complemented
301#2055C2×C3111yescharacteristic
302#2016C2×C3111yescharacteristic, complemented
303#2015C2×C3111yescharacteristic
304#1983C2×C3111yescharacteristic
305#1981C2×C3111yescharacteristic, complemented
306#1958C2×C3111yescharacteristic
307#1939C2×C3111yescharacteristic, complemented
308#1928C2×C3111yescharacteristic, complemented
309#1925C2×C3111yescharacteristic
310#1805C2×C3111yescharacteristic, complemented
311C22×C31—81no—
312C22×C31—81no—
313C22×C31—81no—
314C22×C31—81no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31C2×#12111yescharacteristic
319C22×C31#54611yescharacteristic
320C22×C31#55011yescharacteristic
321C22×C31C2×#13511yescharacteristic
322C22×C31#57511yescharacteristic
323C22×C31#57811yescharacteristic
324C22×C31#57811yescharacteristic
325C4×C31—22no—
326C4×C31—22no—
327C4×C31—22no—
328C4×C31—42no—
329C4×C31—42no—
330C4×C31—42no—
331C4×C31—41no—
332C4×C31—41no—
333C4×C31—41no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31—81no—
337C4×C31—81no—
338C4×C31#52511yescharacteristic
339C4×C31#53511yescharacteristic
340C4×C31#55311yescharacteristic
341C4×C31#55511yescharacteristic
342C22×Q16C22×C3111yescharacteristic
343C22×Q16C22×C3111yescharacteristic
344C22×SD16C22×C3111yescharacteristic
345C2×C4⋊Q8C22×C3111yescharacteristic
346C2×#124C22×C3111yescharacteristic
347C2×#124C22×C3111yescharacteristic
348C2×C4×Q8C22×C3111yescharacteristic
349C2×C4×Q8C22×C3111yescharacteristic
350#464—24no—
351C4×Q16—24no—
352C2×#107C22×C3111yescharacteristic
353C2×C4⋊C8C22×C3111yescharacteristic
354C2×C4⋊C8C22×C3111yescharacteristic
355C2×C4⋊C8C22×C3111yescharacteristic
356C2×#103C22×C3111yescharacteristic
357C2×#103C22×C3111yescharacteristic
358C2×#103C22×C3111yescharacteristic
359C2×#103C22×C3111yescharacteristic
360C2×#103C22×C3111yescharacteristic
361C2×#103C22×C3111yescharacteristic
362C2×#103C22×C3111yescharacteristic
363C2×#102C22×C3111yescharacteristic
364C2×#102C22×C3111yescharacteristic
365C2×#102C22×C3111yescharacteristic
366C2×C4×C8C22×C3111yescharacteristic
367#396—21no—
368#396—21no—
369#391C22×C3111yescharacteristic
370#391C22×C3111yescharacteristic
371#391C22×C3111yescharacteristic
372#390C22×C3111yescharacteristic
373#388—21no—
374#388—21no—
375#387—21no—
376#387—21no—
377#383—21no—
378#382C22×C3111yescharacteristic
379C4×C4⋊C4C22×C3111yescharacteristic
380C4×C4⋊C4C22×C3111yescharacteristic
381C4×C4⋊C4C22×C3111yescharacteristic
382#376—21no—
383#340C22×C3111yescharacteristic
384#340C22×C3111yescharacteristic
385#336C22×C3111yescharacteristic
386#336C22×C3111yescharacteristic
387C2×C31—161no—
388C2×C31#241411yescharacteristic
389C2×C31#303511yescharacteristic
390C2×C31#304411yescharacteristic
391C2×C31#330011yescharacteristic
392C2×C31#332711yescharacteristic
393C2×C31#339311yescharacteristic
394C2×C31#340211yescharacteristic
395C22×Q8C23×C3111yescharacteristic
396C22×Q8C23×C3111yescharacteristic
397C22×Q8C23×C3111yescharacteristic
398C22×D4C23×C3111yescharacteristic
399C2×Q16—22no—
400C2×Q16—22no—
401C2×Q16—22no—
402C2×Q16—22no—
403C2×Q16—41no—
404C2×Q16—41no—
405C2×SD16—22no—
406C2×SD16—41no—
407C2×SD16—41no—
408C22×C8C23×C3111yescharacteristic
409C22×C8C23×C3111yescharacteristic
410C22×C8C23×C3111yescharacteristic
411C22×C8C23×C3111yescharacteristic
412C4⋊Q8—22no—
413C4⋊Q8—41no—
414#124—22no—
415#124—22no—
416#124—22no—
417#124—41no—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—22no—
421C4×Q8D4×C3114yes—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4D4×C3111yescharacteristic
427C2×C4⋊C4D4×C3111yescharacteristic
428C2×C4⋊C4C23×C3111yescharacteristic
429C2×C4⋊C4C23×C3111yescharacteristic
430C2×C4⋊C4C23×C3111yescharacteristic
431C2×C4⋊C4C23×C3111yescharacteristic
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42C23×C3111yescharacteristic
443C2×C42C23×C3111yescharacteristic
444C2×C42C23×C3111yescharacteristic
445#107—22no—
446C4⋊C8—22no—
447C4⋊C8—41no—
448C4⋊C8—41no—
449#103—22no—
450#103—22no—
451#103—22no—
452#103—22no—
453#103—41no—
454#103—41no—
455#103—41no—
456#102—22no—
457#102—22no—
458#102—41no—
459C4×C8—22no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C3111yescharacteristic
471#95D4×C3111yescharacteristic
472C31#2463711yescharacteristic, direct product factor, Sylow
473C24—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C2×D4×C3112yes—
491C2×Q8#41×C3112yes—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4C2×D4×C3111yescharacteristic
506C22×C4C2×D4×C3111yescharacteristic
507C22×C4C2×D4×C3111yescharacteristic
508C22×C4C2×D4×C3111yescharacteristic
509C22×C4C2×D4×C3111yescharacteristic
510C22×C4C2×D4×C3111yescharacteristic
511C22×C4C24×C3111yescharacteristic
512Q16—28no—
513Q16—44no—
514SD16—44no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8#41×C3112yes—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—41no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4C2×D4×C3112yes—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C42—24no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—42no—
554C42—42no—
555C42C2×D4×C3112yes—
556C42#41×C3112yes—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C22×D4×C3111yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4C31×#12112yes—
618C2×C4C31×#12112yes—
619C2×C4C31×#13512yes—
620C2×C4C22×D4×C3111yescharacteristic
621C2×C4C2×#41×C3111yescharacteristic
622C2×C4C2×#41×C3111yescharacteristic
623C2×C4C2×#41×C3111yescharacteristic
624C2×C4C31×H(5,𝔽2)11yescharacteristic
625C2×C4C31×H(5,𝔽2)11yescharacteristic
626C8—22no—
627C8—41no—
628C8—41no—
629C8—41no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22C2×C31×#12111yescharacteristic
638C22C31×#54611yescharacteristic
639C22C31×#55011yescharacteristic
640C22C2×C31×#13511yescharacteristic
641C22C31×#57511yescharacteristic
642C22C31×#57811yescharacteristic
643C22C31×#57811yescharacteristic
644C4—22no—
645C4—22no—
646C4—22no—
647C4—42no—
648C4—42no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4C31×#52511yescharacteristic
658C4C31×#53511yescharacteristic
659C4C31×#55311yescharacteristic
660C4C31×#55511yescharacteristic
661C2—161no—
662C2C31×#241411yescharacteristic
663C2C31×#303511yescharacteristic
664C2C31×#304411yescharacteristic
665C2C31×#330011yescharacteristic
666C2C31×#332711yescharacteristic
667C2C31×#339311yescharacteristic
668C2C31×#340211yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C4⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q16×C31C2semidirect
4. C31×#2356C2semidirect
5. C31×#2056C2semidirect
7. C31×#2016C2semidirect
10. C31×#1981C2semidirect
12. C31×#1939C2semidirect
13. C31×#1928C2semidirect
15. C31×#1805C2semidirect
222. #24637C31direct (N × H)
297. C2×C4×Q16C2×C31semidirect
299. #2356C2×C31semidirect
300. #2056C2×C31semidirect
302. #2016C2×C31semidirect
305. #1981C2×C31semidirect
307. #1939C2×C31semidirect
308. #1928C2×C31semidirect
310. #1805C2×C31semidirect
472. C31#24637direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4642
C2×C4×Q16×C312
C31×#25452
C31×#23562
C31×#20562
C31×#20552
C31×#20162
C31×#20152
C31×#19832
C31×#19812
C31×#19582
C31×#19392
C31×#19282
C31×#19252
C31×#18052
#2463731