Finite Group Databasebeta

← C31×#17537 #21474296

Subgroups — C31×#17537 #21474296

Order 7936.

1116 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#529C211yesmaximal, characteristic
2C31×#2920C211yesmaximal, characteristic, complemented
3C4×C31×#117C211yesmaximal, characteristic, complemented
4C31×#1509C214yesmaximal, complemented
5C31×#1508C212yesmaximal, complemented
6C31×#1507C212yesmaximal
7C31×#1500C214yesmaximal, complemented
8C31×#529—21no—
9C31×#529—21no—
10C31×#529—21no—
11C31×#529—21no—
12C31×#529C412yescomplemented
13C31×#529C412yescomplemented
14C31×#529C2212yes—
15C31×#529C2212yes—
16C2×C31×#126—21no—
17C2×C31×#125C411yescharacteristic, complemented
18C2×C31×#124C411yescharacteristic, complemented
19C2×C31×#123—21no—
20C2×C31×C22⋊Q8C2211yescharacteristic
21C2×C31×#121C2211yescharacteristic
22C2×C4×Q8×C31C411yescharacteristic, complemented
23C2×C4×D4×C31—21no—
24C2×C4×D4×C31C411yescharacteristic, complemented
25C2×C31×#117—21no—
26C2×C31×#117—21no—
27C22×C42×C31C2211yescharacteristic
28C31×#432—21no—
29C31×#432C2212yescomplemented
30C31×#431—21no—
31C31×#431C2212yescomplemented
32C31×#423—21no—
33C31×#407C2212yes—
34C4×M16×C31—21no—
35C4×C4⋊C4×C31—21no—
36C4×C4⋊C4×C31C2212yescomplemented
37C4×C22⋊C4×C31—21no—
38C4×C22⋊C4×C31C2212yes—
39C31×#376C2212yescomplemented
40C43×C31—21no—
41C31×#328C2218yescomplemented
42C31×#327C2218yes—
43C22×Q8×C31C2×C411yescharacteristic
44C22×D4×C31—21no—
45C22×D4×C31C2×C411yescharacteristic
46C23×C4×C31—21no—
47C23×C4×C31D411yescharacteristic
48C23×C4×C31D411yescharacteristic
49C23×C4×C31C2311yescharacteristic
50C2×M16×C31—22no—
51C31×#126—22no—
52C31×#126—22no—
53C31×#126—22no—
54C31×#126—22no—
55C31×#125—21no—
56C31×#125—21no—
57C31×#125C2×C412yes—
58C31×#125C2×C412yes—
59C31×#124—21no—
60C31×#124—21no—
61C31×#124C2×C412yes—
62C31×#124C2×C412yes—
63C31×#123—22no—
64C31×#123—22no—
65C31×#123—22no—
66C31×#123—22no—
67C31×C22⋊Q8—21no—
68C31×C22⋊Q8—21no—
69C31×C22⋊Q8C2×C412yes—
70C31×C22⋊Q8C2312yes—
71C31×#121—21no—
72C31×#121—21no—
73C31×#121C2×C412yes—
74C31×#121C2312yes—
75C4×Q8×C31—21no—
76C4×Q8×C31—21no—
77C4×Q8×C31C2×C412yes—
78C4×Q8×C31C2×C412yes—
79C4×D4×C31—22no—
80C4×D4×C31—22no—
81C4×D4×C31—22no—
82C4×D4×C31—22no—
83C4×D4×C31—21no—
84C4×D4×C31—21no—
85C4×D4×C31C2×C412yes—
86C4×D4×C31C2×C412yes—
87C31×#117—28no—
88C31×#117—22no—
89C31×#117—22no—
90C31×#117—22no—
91C31×#117—22no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—21no—
95C2×C4⋊C4×C31—21no—
96C2×C4⋊C4×C31—22no—
97C2×C4⋊C4×C31C2×C411yescharacteristic
98C2×C4⋊C4×C31C2×C411yescharacteristic
99C2×C22⋊C4×C31—22no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C42×C31—21no—
106C2×C42×C31—22no—
107C2×C42×C31—22no—
108C2×C42×C31—22no—
109C2×C42×C31C2×C411yescharacteristic
110C2×C42×C31C2×C411yescharacteristic
111C2×C42×C31C2×C411yescharacteristic
112C2×C42×C31C2×C411yescharacteristic
113C2×C42×C31D411yescharacteristic
114C2×C42×C31D411yescharacteristic
115C2×C42×C31D411yescharacteristic
116C2×C42×C31D411yescharacteristic
117C2×C42×C31D411yescharacteristic
118C2×C42×C31D411yescharacteristic
119C2×C42×C31C2311yescharacteristic
120C2×C42×C31C2311yescharacteristic
121C31×C4⋊C8—22no—
122C31×C4⋊C8—22no—
123C31×C22⋊C8—22no—
124C31×C22⋊C8C2314yes—
125C31×#97—22no—
126C4×C8×C31—22no—
127C31×#95—22no—
128C31×#95C2314yes—
129C24×C31—21no—
130C24×C31C2×D411yescharacteristic
131C2×Q8×C31—21no—
132C2×Q8×C31—42no—
133C2×Q8×C31C22×C412yes—
134C2×D4×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—21no—
137C2×D4×C31—42no—
138C2×D4×C31—44no—
139C2×D4×C31C22×C412yes—
140C22×C4×C31—24no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—24no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—42no—
148C22×C4×C31—42no—
149C22×C4×C31—44no—
150C22×C4×C31C22⋊C411yescharacteristic
151C22×C4×C31C22⋊C411yescharacteristic
152C22×C4×C31C22⋊C411yescharacteristic
153C22×C4×C31C22⋊C411yescharacteristic
154C22×C4×C31C22⋊C411yescharacteristic
155C22×C4×C31C22⋊C411yescharacteristic
156C22×C4×C31C22⋊C411yescharacteristic
157C22×C4×C31C22⋊C411yescharacteristic
158C22×C4×C31C22×C411yescharacteristic
159C22×C4×C31C22×C411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2411yescharacteristic
168M16×C31—44no—
169C2×C8×C31—24no—
170C4⋊C4×C31—28no—
171C4⋊C4×C31—22no—
172C4⋊C4×C31—22no—
173C4⋊C4×C31—22no—
174C4⋊C4×C31—22no—
175C4⋊C4×C31—22no—
176C4⋊C4×C31—22no—
177C4⋊C4×C31—22no—
178C4⋊C4×C31—21no—
179C4⋊C4×C31—21no—
180C4⋊C4×C31—22no—
181C4⋊C4×C31C22×C412yes—
182C4⋊C4×C31C22×C412yes—
183C22⋊C4×C31—28no—
184C22⋊C4×C31—22no—
185C22⋊C4×C31—22no—
186C22⋊C4×C31—22no—
187C22⋊C4×C31—22no—
188C22⋊C4×C31—22no—
189C22⋊C4×C31—22no—
190C22⋊C4×C31—22no—
191C22⋊C4×C31—22no—
192C22⋊C4×C31—22no—
193C22⋊C4×C31—22no—
194C42×C31—28no—
195C42×C31—22no—
196C42×C31—22no—
197C42×C31—44no—
198C42×C31—44no—
199C42×C31C22⋊C411yescharacteristic
200C42×C31C22⋊C411yescharacteristic
201C42×C31C22⋊C411yescharacteristic
202C42×C31C22⋊C411yescharacteristic
203C42×C31C22⋊C411yescharacteristic
204C42×C31C22⋊C411yescharacteristic
205C42×C31C22⋊C411yescharacteristic
206C42×C31C22⋊C411yescharacteristic
207C42×C31C22×C411yescharacteristic
208C42×C31C22×C411yescharacteristic
209C42×C31C22×C411yescharacteristic
210C42×C31C22×C411yescharacteristic
211C42×C31C2×D411yescharacteristic
212C42×C31C2×D411yescharacteristic
213C42×C31C2×D411yescharacteristic
214C42×C31C2×D411yescharacteristic
215#17537C3111yesmaximal, characteristic, direct product factor, Sylow
216C23×C31—22no—
217C23×C31—22no—
218C23×C31—22no—
219C23×C31—41no—
220C23×C31—42no—
221C23×C31—42no—
222C23×C31—42no—
223C23×C31C2×C22⋊C411yescharacteristic
224C23×C31C2×C22⋊C411yescharacteristic
225C23×C31C22×D411yescharacteristic
226Q8×C31—42no—
227Q8×C31—42no—
228D4×C31—42no—
229D4×C31—44no—
230D4×C31—44no—
231D4×C31—42no—
232C2×C4×C31—22no—
233C2×C4×C31—22no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—28no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—41no—
247C2×C4×C31—41no—
248C2×C4×C31—41no—
249C2×C4×C31—41no—
250C2×C4×C31—41no—
251C2×C4×C31—41no—
252C2×C4×C31—41no—
253C2×C4×C31—44no—
254C2×C4×C31—42no—
255C2×C4×C31—42no—
256C2×C4×C31—44no—
257C2×C4×C31—42no—
258C2×C4×C31—44no—
259C2×C4×C31—44no—
260C2×C4×C31#10414yes—
261C2×C4×C31C2×C22⋊C411yescharacteristic
262C2×C4×C31C2×C22⋊C411yescharacteristic
263C2×C4×C31C2×C22⋊C411yescharacteristic
264C2×C4×C31C2×C22⋊C411yescharacteristic
265C2×C4×C31C2×C22⋊C411yescharacteristic
266C2×C4×C31C2×C22⋊C411yescharacteristic
267C2×C4×C31C2×C22⋊C411yescharacteristic
268C2×C4×C31C2×C22⋊C411yescharacteristic
269C2×C4×C31C2×C22⋊C411yescharacteristic
270C2×C4×C31C2×C22⋊C411yescharacteristic
271C2×C4×C31C23×C411yescharacteristic
272C2×C4×C31C22×D411yescharacteristic
273C8×C31—44no—
274C2×#529C2×C3111yescharacteristic
275#2920C2×C3111yescharacteristic, complemented
276C4×#117C2×C3111yescharacteristic, complemented
277#1509C2×C3114yescomplemented
278#1508C2×C3112yescomplemented
279#1507C2×C3112yes—
280#1500C2×C3114yescomplemented
281C22×C31—21no—
282C22×C31—21no—
283C22×C31—21no—
284C22×C31—21no—
285C22×C31—21no—
286C22×C31—21no—
287C22×C31—21no—
288C22×C31—44no—
289C22×C31—42no—
290C22×C31—42no—
291C22×C31—42no—
292C22×C31—84no—
293C22×C31C2×#10412yes—
294C22×C31C22×C22⋊C411yescharacteristic
295C22×C31#57512yes—
296C4×C31—21no—
297C4×C31—21no—
298C4×C31—21no—
299C4×C31—21no—
300C4×C31—21no—
301C4×C31—21no—
302C4×C31—21no—
303C4×C31—21no—
304C4×C31—21no—
305C4×C31—48no—
306C4×C31—42no—
307C4×C31—42no—
308C4×C31—42no—
309C4×C31#41012yes—
310C4×C31C2×#10412yes—
311C4×C31C2×#10412yes—
312#529—21no—
313#529—21no—
314#529—21no—
315#529—21no—
316#529C4×C3112yescomplemented
317#529C4×C3112yescomplemented
318#529C22×C3112yes—
319#529C22×C3112yes—
320C2×#126—21no—
321C2×#125C4×C3111yescharacteristic, complemented
322C2×#124C4×C3111yescharacteristic, complemented
323C2×#123—21no—
324C2×C22⋊Q8C22×C3111yescharacteristic
325C2×#121C22×C3111yescharacteristic
326C2×C4×Q8C4×C3111yescharacteristic, complemented
327C2×C4×D4—21no—
328C2×C4×D4C4×C3111yescharacteristic, complemented
329C2×#117—21no—
330C2×#117—21no—
331C22×C42C22×C3111yescharacteristic
332#432—21no—
333#432C22×C3112yescomplemented
334#431—21no—
335#431C22×C3112yescomplemented
336#423—21no—
337#407C22×C3112yes—
338C4×M16—21no—
339C4×C4⋊C4—21no—
340C4×C4⋊C4C22×C3112yescomplemented
341C4×C22⋊C4—21no—
342C4×C22⋊C4C22×C3112yes—
343#376C22×C3112yescomplemented
344C43—21no—
345#328C22×C3118yescomplemented
346#327C22×C3118yes—
347C2×C31—22no—
348C2×C31—22no—
349C2×C31—41no—
350C2×C31—82no—
351C2×C31C2×#41011yescharacteristic
352C2×C31#289611yescharacteristic
353C2×C31C22×#10411yescharacteristic
354C22×Q8C2×C4×C3111yescharacteristic
355C22×D4—21no—
356C22×D4C2×C4×C3111yescharacteristic
357C23×C4—21no—
358C23×C4D4×C3111yescharacteristic
359C23×C4D4×C3111yescharacteristic
360C23×C4C23×C3111yescharacteristic
361C2×M16—22no—
362#126—22no—
363#126—22no—
364#126—22no—
365#126—22no—
366#125—21no—
367#125—21no—
368#125C2×C4×C3112yes—
369#125C2×C4×C3112yes—
370#124—21no—
371#124—21no—
372#124C2×C4×C3112yes—
373#124C2×C4×C3112yes—
374#123—22no—
375#123—22no—
376#123—22no—
377#123—22no—
378C22⋊Q8—21no—
379C22⋊Q8—21no—
380C22⋊Q8C2×C4×C3112yes—
381C22⋊Q8C23×C3112yes—
382#121—21no—
383#121—21no—
384#121C2×C4×C3112yes—
385#121C23×C3112yes—
386C4×Q8—21no—
387C4×Q8—21no—
388C4×Q8C2×C4×C3112yes—
389C4×Q8C2×C4×C3112yes—
390C4×D4—22no—
391C4×D4—22no—
392C4×D4—22no—
393C4×D4—22no—
394C4×D4—21no—
395C4×D4—21no—
396C4×D4C2×C4×C3112yes—
397C4×D4C2×C4×C3112yes—
398#117—28no—
399#117—22no—
400#117—22no—
401#117—22no—
402#117—22no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4C2×C4×C3111yescharacteristic
409C2×C4⋊C4C2×C4×C3111yescharacteristic
410C2×C22⋊C4—22no—
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C42—21no—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42—22no—
420C2×C42C2×C4×C3111yescharacteristic
421C2×C42C2×C4×C3111yescharacteristic
422C2×C42C2×C4×C3111yescharacteristic
423C2×C42C2×C4×C3111yescharacteristic
424C2×C42D4×C3111yescharacteristic
425C2×C42D4×C3111yescharacteristic
426C2×C42D4×C3111yescharacteristic
427C2×C42D4×C3111yescharacteristic
428C2×C42D4×C3111yescharacteristic
429C2×C42D4×C3111yescharacteristic
430C2×C42C23×C3111yescharacteristic
431C2×C42C23×C3111yescharacteristic
432C4⋊C8—22no—
433C4⋊C8—22no—
434C22⋊C8—22no—
435C22⋊C8C23×C3114yes—
436#97—22no—
437C4×C8—22no—
438#95—22no—
439#95C23×C3114yes—
440C31#1753711yescharacteristic, direct product factor, Sylow
441C24—21no—
442C24C2×D4×C3111yescharacteristic
443C2×Q8—21no—
444C2×Q8—42no—
445C2×Q8C22×C4×C3112yes—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—21no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4C22×C4×C3112yes—
452C22×C4—24no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—44no—
462C22×C4C22⋊C4×C3111yescharacteristic
463C22×C4C22⋊C4×C3111yescharacteristic
464C22×C4C22⋊C4×C3111yescharacteristic
465C22×C4C22⋊C4×C3111yescharacteristic
466C22×C4C22⋊C4×C3111yescharacteristic
467C22×C4C22⋊C4×C3111yescharacteristic
468C22×C4C22⋊C4×C3111yescharacteristic
469C22×C4C22⋊C4×C3111yescharacteristic
470C22×C4C22×C4×C3111yescharacteristic
471C22×C4C22×C4×C3111yescharacteristic
472C22×C4C2×D4×C3111yescharacteristic
473C22×C4C2×D4×C3111yescharacteristic
474C22×C4C2×D4×C3111yescharacteristic
475C22×C4C2×D4×C3111yescharacteristic
476C22×C4C2×D4×C3111yescharacteristic
477C22×C4C2×D4×C3111yescharacteristic
478C22×C4C2×D4×C3111yescharacteristic
479C22×C4C24×C3111yescharacteristic
480M16—44no—
481C2×C8—24no—
482C4⋊C4—28no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—22no—
493C4⋊C4C22×C4×C3112yes—
494C4⋊C4C22×C4×C3112yes—
495C22⋊C4—28no—
496C22⋊C4—22no—
497C22⋊C4—22no—
498C22⋊C4—22no—
499C22⋊C4—22no—
500C22⋊C4—22no—
501C22⋊C4—22no—
502C22⋊C4—22no—
503C22⋊C4—22no—
504C22⋊C4—22no—
505C22⋊C4—22no—
506C42—28no—
507C42—22no—
508C42—22no—
509C42—44no—
510C42—44no—
511C42C22⋊C4×C3111yescharacteristic
512C42C22⋊C4×C3111yescharacteristic
513C42C22⋊C4×C3111yescharacteristic
514C42C22⋊C4×C3111yescharacteristic
515C42C22⋊C4×C3111yescharacteristic
516C42C22⋊C4×C3111yescharacteristic
517C42C22⋊C4×C3111yescharacteristic
518C42C22⋊C4×C3111yescharacteristic
519C42C22×C4×C3111yescharacteristic
520C42C22×C4×C3111yescharacteristic
521C42C22×C4×C3111yescharacteristic
522C42C22×C4×C3111yescharacteristic
523C42C2×D4×C3111yescharacteristic
524C42C2×D4×C3111yescharacteristic
525C42C2×D4×C3111yescharacteristic
526C42C2×D4×C3111yescharacteristic
527C23—22no—
528C23—22no—
529C23—22no—
530C23—41no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23C2×C22⋊C4×C3111yescharacteristic
535C23C2×C22⋊C4×C3111yescharacteristic
536C23C22×D4×C3111yescharacteristic
537Q8—42no—
538Q8—42no—
539D4—42no—
540D4—44no—
541D4—44no—
542D4—42no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—28no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—44no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—44no—
569C2×C4—44no—
570C2×C4—44no—
571C2×C4C31×#10414yes—
572C2×C4C2×C22⋊C4×C3111yescharacteristic
573C2×C4C2×C22⋊C4×C3111yescharacteristic
574C2×C4C2×C22⋊C4×C3111yescharacteristic
575C2×C4C2×C22⋊C4×C3111yescharacteristic
576C2×C4C2×C22⋊C4×C3111yescharacteristic
577C2×C4C2×C22⋊C4×C3111yescharacteristic
578C2×C4C2×C22⋊C4×C3111yescharacteristic
579C2×C4C2×C22⋊C4×C3111yescharacteristic
580C2×C4C2×C22⋊C4×C3111yescharacteristic
581C2×C4C2×C22⋊C4×C3111yescharacteristic
582C2×C4C23×C4×C3111yescharacteristic
583C2×C4C22×D4×C3111yescharacteristic
584C8—44no—
585C22—21no—
586C22—21no—
587C22—21no—
588C22—21no—
589C22—21no—
590C22—21no—
591C22—21no—
592C22—44no—
593C22—42no—
594C22—42no—
595C22—42no—
596C22—84no—
597C22C2×C31×#10412yes—
598C22C22×C22⋊C4×C3111yescharacteristic
599C22C31×#57512yes—
600C4—21no—
601C4—21no—
602C4—21no—
603C4—21no—
604C4—21no—
605C4—21no—
606C4—21no—
607C4—21no—
608C4—21no—
609C4—48no—
610C4—42no—
611C4—42no—
612C4—42no—
613C4C31×#41012yes—
614C4C2×C31×#10412yes—
615C4C2×C31×#10412yes—
616C2—22no—
617C2—22no—
618C2—41no—
619C2—82no—
620C2C2×C31×#41011yescharacteristic
621C2C31×#289611yescharacteristic
622C2C22×C31×#10411yescharacteristic
subgroupG/H
centerC2×C4×C31C2×C22⋊C4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
socleC22×C31C22×C22⋊C4
prime radicalC2×C31×#121C22
LCSG ▷ C2×C4 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4×C31 ◁ C22×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C31×#2920C2semidirect
3. C4×C31×#117C2semidirect
4. C31×#1509C2semidirect
5. C31×#1508C2semidirect
7. C31×#1500C2semidirect
12. C31×#529C4semidirect
13. C31×#529C4semidirect
17. C2×C31×#125C4semidirect
18. C2×C31×#124C4semidirect
22. C2×C4×Q8×C31C4semidirect
24. C2×C4×D4×C31C4semidirect
29. C31×#432C22semidirect
31. C31×#431C22semidirect
36. C4×C4⋊C4×C31C22semidirect
39. C31×#376C22semidirect
41. C31×#328C22semidirect
215. #17537C31direct (N × H)
275. #2920C2×C31semidirect
276. C4×#117C2×C31semidirect
277. #1509C2×C31semidirect
278. #1508C2×C31semidirect
280. #1500C2×C31semidirect
316. #529C4×C31semidirect
317. #529C4×C31semidirect
321. C2×#125C4×C31semidirect
322. C2×#124C4×C31semidirect
326. C2×C4×Q8C4×C31semidirect
328. C2×C4×D4C4×C31semidirect
333. #432C22×C31semidirect
335. #431C22×C31semidirect
340. C4×C4⋊C4C22×C31semidirect
343. #376C22×C31semidirect
345. #328C22×C31semidirect
440. C31#17537direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5292
C31×#29202
C4×C31×#1172
C31×#15092
C31×#15082
C31×#15072
C31×#15002
#1753731