Finite Group Databasebeta

← C31×#25219 #21481978

Subgroups — C31×#25219 #21481978

Order 7936.

824 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#483C211yesmaximal, characteristic
2C2×C31×#470C211yesmaximal, characteristic
3C31×#2502C211yesmaximal, characteristic
4C31×#2362C211yesmaximal, characteristic
5C31×#2084C211yesmaximal, characteristic, complemented
6C31×#2072C211yesmaximal, characteristic, complemented
7C31×#2066C211yesmaximal, characteristic, complemented
8C31×#2056C211yesmaximal, characteristic, complemented
9C31×#1948C211yesmaximal, characteristic, complemented
10C31×#1927C211yesmaximal, characteristic, complemented
11C31×#1878C211yesmaximal, characteristic, complemented
12C31×#1873C211yesmaximal, characteristic
13C31×#1851C211yesmaximal, characteristic
14C31×#1803C211yesmaximal, characteristic, complemented
15C31×#1736C211yesmaximal, characteristic
16C22×Q16×C31C2211yescharacteristic
17C22×M16×C31C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C31×C22⋊Q8C2211yescharacteristic
20C2×C4×Q8×C31C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C31×#483—24no—
24C31×#470—24no—
25C2×C31×#106C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
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×C22⋊C8C2211yescharacteristic
37C31×#398—21no—
38C31×#398—21no—
39C31×#391C2211yescharacteristic
40C31×#391C2211yescharacteristic
41C31×#391C2211yescharacteristic
42C31×#389C2211yescharacteristic
43C31×#388—21no—
44C31×#388—21no—
45C31×#387—21no—
46C31×#385—21no—
47C31×#385—21no—
48C31×#384C2211yescharacteristic
49C31×#384C2211yescharacteristic
50C4×C4⋊C4×C31—21no—
51C4×C4⋊C4×C31C2211yescharacteristic
52C4×C22⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31C2311yescharacteristic
62C22×Q8×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31C2311yescharacteristic
65C2×Q16×C31—22no—
66C2×Q16×C31—22no—
67C2×Q16×C31—41no—
68C2×M16×C31—22no—
69C2×M16×C31—22no—
70C2×M16×C31—41no—
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C31×C22⋊Q8—22no—
76C31×C22⋊Q8—22no—
77C31×C22⋊Q8—22no—
78C31×C22⋊Q8D414yes—
79C4×Q8×C31—22no—
80C4×Q8×C31—41no—
81C31×#117—22no—
82C31×#117—41no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—22no—
85C2×C4⋊C4×C31—22no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31D411yescharacteristic
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C42×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31—21no—
108C2×C42×C31C2311yescharacteristic
109C2×C42×C31C2311yescharacteristic
110C31×#106—22no—
111C31×#106—22no—
112C31×#106—22no—
113C31×C4⋊C8—22no—
114C31×C4⋊C8—41no—
115C31×#103—22no—
116C31×#103—22no—
117C31×#103—22no—
118C31×#103—22no—
119C31×#103—22no—
120C31×#103—41no—
121C31×C22⋊C8—22no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95D411yescharacteristic
131C31×#95D411yescharacteristic
132C24×C31C2×D411yescharacteristic
133C2×Q8×C31—21no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—21no—
138C2×Q8×C31—21no—
139C2×Q8×C31—21no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—21no—
144C2×Q8×C31C2×D412yes—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—42no—
158C22×C4×C31—81no—
159C22×C4×C31—81no—
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D412yes—
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31#4112yes—
167C22×C4×C31C2411yescharacteristic
168Q16×C31—44no—
169M16×C31—44no—
170C2×C8×C31—21no—
171C2×C8×C31—21no—
172C2×C8×C31—21no—
173C2×C8×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×C31—21no—
178C2×C8×C31—21no—
179C2×C8×C31—21no—
180C2×C8×C31—21no—
181C2×C8×C31#4112yes—
182C4⋊C4×C31—24no—
183C4⋊C4×C31—21no—
184C4⋊C4×C31—21no—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—42no—
197C4⋊C4×C31—81no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31—81no—
200C4⋊C4×C31—81no—
201C4⋊C4×C31C2×D412yes—
202C4⋊C4×C31#4112yes—
203C22⋊C4×C31—24no—
204C22⋊C4×C31—22no—
205C22⋊C4×C31—22no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—42no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—42no—
213C42×C31—42no—
214C42×C31—42no—
215#25219C3111yesmaximal, characteristic, direct product factor, Sylow
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31#12112yes—
223C23×C31C22×D411yescharacteristic
224Q8×C31—22no—
225Q8×C31—22no—
226Q8×C31—41no—
227Q8×C31—41no—
228Q8×C31—41no—
229Q8×C31—41no—
230Q8×C31—41no—
231Q8×C31—41no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—21no—
245C2×C4×C31—22no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—41no—
252C2×C4×C31—41no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
255C2×C4×C31—41no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
261C2×C4×C31—41no—
262C2×C4×C31—41no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
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—84no—
273C2×C4×C31#12112yes—
274C2×C4×C31#13712yes—
275C2×C4×C31#13712yes—
276C2×C4×C31C22×D411yescharacteristic
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31C2×#4111yescharacteristic
280C2×C4×C31H(5,𝔽2)11yescharacteristic
281C2×C4×C312−1+411yescharacteristic
282C8×C31—22no—
283C8×C31—41no—
284C8×C31—41no—
285C8×C31—41no—
286C2×#483C2×C3111yescharacteristic
287C2×#470C2×C3111yescharacteristic
288#2502C2×C3111yescharacteristic
289#2362C2×C3111yescharacteristic
290#2084C2×C3111yescharacteristic, complemented
291#2072C2×C3111yescharacteristic, complemented
292#2066C2×C3111yescharacteristic, complemented
293#2056C2×C3111yescharacteristic, complemented
294#1948C2×C3111yescharacteristic, complemented
295#1927C2×C3111yescharacteristic, complemented
296#1878C2×C3111yescharacteristic, complemented
297#1873C2×C3111yescharacteristic
298#1851C2×C3111yescharacteristic
299#1803C2×C3111yescharacteristic, complemented
300#1736C2×C3111yescharacteristic
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—41no—
305C22×C31—41no—
306C22×C31—41no—
307C22×C31—41no—
308C22×C31C2×#12111yescharacteristic
309C22×C31#54611yescharacteristic
310C22×C31#54711yescharacteristic
311C22×C31C2×#13711yescharacteristic
312C22×C31C2×#13711yescharacteristic
313C22×C31#57711yescharacteristic
314C22×C31#57711yescharacteristic
315C4×C31—22no—
316C4×C31—22no—
317C4×C31—22no—
318C4×C31—41no—
319C4×C31—42no—
320C4×C31—41no—
321C4×C31—42no—
322C4×C31—42no—
323C4×C31—81no—
324C4×C31—81no—
325C4×C31—81no—
326C4×C31—81no—
327C4×C31—81no—
328C4×C31#52911yescharacteristic
329C4×C31#53911yescharacteristic
330C4×C31#54611yescharacteristic
331C4×C31#54711yescharacteristic
332C22×Q16C22×C3111yescharacteristic
333C22×M16C22×C3111yescharacteristic
334C2×C22⋊Q8C22×C3111yescharacteristic
335C2×C22⋊Q8C22×C3111yescharacteristic
336C2×C4×Q8C22×C3111yescharacteristic
337C2×#117C22×C3111yescharacteristic
338C22×C4⋊C4C22×C3111yescharacteristic
339#483—24no—
340#470—24no—
341C2×#106C22×C3111yescharacteristic
342C2×#106C22×C3111yescharacteristic
343C2×#106C22×C3111yescharacteristic
344C2×C4⋊C8C22×C3111yescharacteristic
345C2×C4⋊C8C22×C3111yescharacteristic
346C2×#103C22×C3111yescharacteristic
347C2×#103C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#103C22×C3111yescharacteristic
350C2×#103C22×C3111yescharacteristic
351C2×#103C22×C3111yescharacteristic
352C2×C22⋊C8C22×C3111yescharacteristic
353#398—21no—
354#398—21no—
355#391C22×C3111yescharacteristic
356#391C22×C3111yescharacteristic
357#391C22×C3111yescharacteristic
358#389C22×C3111yescharacteristic
359#388—21no—
360#388—21no—
361#387—21no—
362#385—21no—
363#385—21no—
364#384C22×C3111yescharacteristic
365#384C22×C3111yescharacteristic
366C4×C4⋊C4—21no—
367C4×C4⋊C4C22×C3111yescharacteristic
368C4×C22⋊C4C22×C3111yescharacteristic
369#340C22×C3111yescharacteristic
370#340C22×C3111yescharacteristic
371#340C22×C3111yescharacteristic
372#340C22×C3111yescharacteristic
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#336C22×C3111yescharacteristic
376#336C22×C3111yescharacteristic
377C2×C31—42no—
378C2×C31#242511yescharacteristic
379C2×C31#303911yescharacteristic
380C2×C31#304311yescharacteristic
381C2×C31#331611yescharacteristic
382C2×C31#333111yescharacteristic
383C2×C31#334411yescharacteristic
384C2×C31#335611yescharacteristic
385C22×Q8C23×C3111yescharacteristic
386C22×Q8C23×C3111yescharacteristic
387C23×C4—21no—
388C23×C4C23×C3111yescharacteristic
389C2×Q16—22no—
390C2×Q16—22no—
391C2×Q16—41no—
392C2×M16—22no—
393C2×M16—22no—
394C2×M16—41no—
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397C22×C8C23×C3111yescharacteristic
398C22×C8C23×C3111yescharacteristic
399C22⋊Q8—22no—
400C22⋊Q8—22no—
401C22⋊Q8—22no—
402C22⋊Q8D4×C3114yes—
403C4×Q8—22no—
404C4×Q8—41no—
405#117—22no—
406#117—41no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—22no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4C23×C3111yescharacteristic
419C2×C4⋊C4C23×C3111yescharacteristic
420C2×C4⋊C4C23×C3111yescharacteristic
421C2×C4⋊C4C23×C3111yescharacteristic
422C2×C4⋊C4C23×C3111yescharacteristic
423C2×C4⋊C4C23×C3111yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4D4×C3111yescharacteristic
428C2×C22⋊C4D4×C3111yescharacteristic
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42C23×C3111yescharacteristic
433C2×C42C23×C3111yescharacteristic
434#106—22no—
435#106—22no—
436#106—22no—
437C4⋊C8—22no—
438C4⋊C8—41no—
439#103—22no—
440#103—22no—
441#103—22no—
442#103—22no—
443#103—22no—
444#103—41no—
445C22⋊C8—22no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95D4×C3111yescharacteristic
455#95D4×C3111yescharacteristic
456C31#2521911yescharacteristic, direct product factor, Sylow
457C24C2×D4×C3111yescharacteristic
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8C2×D4×C3112yes—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4C2×D4×C3111yescharacteristic
486C22×C4C2×D4×C3111yescharacteristic
487C22×C4C2×D4×C3111yescharacteristic
488C22×C4C2×D4×C3112yes—
489C22×C4C2×D4×C3111yescharacteristic
490C22×C4C2×D4×C3111yescharacteristic
491C22×C4#41×C3112yes—
492C22×C4C24×C3111yescharacteristic
493Q16—44no—
494M16—44no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8#41×C3112yes—
507C4⋊C4—24no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—81no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4C2×D4×C3112yes—
527C4⋊C4#41×C3112yes—
528C22⋊C4—24no—
529C22⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—42no—
538C42—42no—
539C42—42no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23C31×#12112yes—
547C23C22×D4×C3111yescharacteristic
548Q8—22no—
549Q8—22no—
550Q8—41no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—84no—
597C2×C4C31×#12112yes—
598C2×C4C31×#13712yes—
599C2×C4C31×#13712yes—
600C2×C4C22×D4×C3111yescharacteristic
601C2×C4C2×#41×C3111yescharacteristic
602C2×C4C2×#41×C3111yescharacteristic
603C2×C4C2×#41×C3111yescharacteristic
604C2×C4C31×H(5,𝔽2)11yescharacteristic
605C2×C4C31×2−1+411yescharacteristic
606C8—22no—
607C8—41no—
608C8—41no—
609C8—41no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22C2×C31×#12111yescharacteristic
618C22C31×#54611yescharacteristic
619C22C31×#54711yescharacteristic
620C22C2×C31×#13711yescharacteristic
621C22C2×C31×#13711yescharacteristic
622C22C31×#57711yescharacteristic
623C22C31×#57711yescharacteristic
624C4—22no—
625C4—22no—
626C4—22no—
627C4—41no—
628C4—42no—
629C4—41no—
630C4—42no—
631C4—42no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C31×#52911yescharacteristic
638C4C31×#53911yescharacteristic
639C4C31×#54611yescharacteristic
640C4C31×#54711yescharacteristic
641C2—42no—
642C2C31×#242511yescharacteristic
643C2C31×#303911yescharacteristic
644C2C31×#304311yescharacteristic
645C2C31×#331611yescharacteristic
646C2C31×#333111yescharacteristic
647C2C31×#334411yescharacteristic
648C2C31×#335611yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC24×C31C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C22⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
5. C31×#2084C2semidirect
6. C31×#2072C2semidirect
7. C31×#2066C2semidirect
8. C31×#2056C2semidirect
9. C31×#1948C2semidirect
10. C31×#1927C2semidirect
11. C31×#1878C2semidirect
14. C31×#1803C2semidirect
215. #25219C31direct (N × H)
290. #2084C2×C31semidirect
291. #2072C2×C31semidirect
292. #2066C2×C31semidirect
293. #2056C2×C31semidirect
294. #1948C2×C31semidirect
295. #1927C2×C31semidirect
296. #1878C2×C31semidirect
299. #1803C2×C31semidirect
456. C31#25219direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4832
C2×C31×#4702
C31×#25022
C31×#23622
C31×#20842
C31×#20722
C31×#20662
C31×#20562
C31×#19482
C31×#19272
C31×#18782
C31×#18732
C31×#18512
C31×#18032
C31×#17362
#2521931