Finite Group Databasebeta

← C31×#17554 #21474313

Subgroups — C31×#17554 #21474313

Order 7936.

1024 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#529C211yesmaximal, characteristic
2C31×#2920C211yesmaximal, characteristic, complemented
3C31×#2283C211yesmaximal, characteristic, complemented
4C31×#1512C214yesmaximal, complemented
5C31×#1511C212yesmaximal, complemented
6C31×#1510C212yesmaximal
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—
26C22×C42×C31C2211yescharacteristic
27C31×#432—21no—
28C31×#432C2212yescomplemented
29C31×#431—21no—
30C31×#431C2212yescomplemented
31C31×#423—21no—
32C31×#407C2212yes—
33C4×M16×C31—21no—
34C31×#383—21no—
35C31×#382C2212yescomplemented
36C31×#381C2212yes—
37C31×#380—21no—
38C4×C4⋊C4×C31—21no—
39C4×C22⋊C4×C31—21no—
40C31×#376C2212yescomplemented
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—22no—
88C31×#117—22no—
89C31×#117—22no—
90C31×#117—22no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—21no—
95C2×C4⋊C4×C31—22no—
96C2×C4⋊C4×C31C2×C411yescharacteristic
97C2×C4⋊C4×C31C2×C411yescharacteristic
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—22no—
104C2×C42×C31—21no—
105C2×C42×C31—22no—
106C2×C42×C31C2×C411yescharacteristic
107C2×C42×C31C2×C411yescharacteristic
108C2×C42×C31C2×C411yescharacteristic
109C2×C42×C31C2×C411yescharacteristic
110C2×C42×C31D411yescharacteristic
111C2×C42×C31D411yescharacteristic
112C2×C42×C31D411yescharacteristic
113C2×C42×C31D411yescharacteristic
114C2×C42×C31D411yescharacteristic
115C2×C42×C31D411yescharacteristic
116C2×C42×C31C2311yescharacteristic
117C2×C42×C31C2311yescharacteristic
118C31×C4⋊C8—22no—
119C31×C4⋊C8—22no—
120C31×C22⋊C8—22no—
121C31×C22⋊C8C2314yes—
122C31×#97—22no—
123C4×C8×C31—22no—
124C31×#95—22no—
125C31×#95—22no—
126C31×#95—22no—
127C31×#95C2314yes—
128C24×C31—21no—
129C24×C31C2×D411yescharacteristic
130C2×Q8×C31—21no—
131C2×Q8×C31—42no—
132C2×Q8×C31C22×C412yes—
133C2×D4×C31—22no—
134C2×D4×C31—22no—
135C2×D4×C31—21no—
136C2×D4×C31—42no—
137C2×D4×C31—44no—
138C2×D4×C31C22×C412yes—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—24no—
145C22×C4×C31—42no—
146C22×C4×C31—42no—
147C22×C4×C31—42no—
148C22×C4×C31—44no—
149C22×C4×C31C22⋊C411yescharacteristic
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×C31C2×D411yescharacteristic
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×C31C2411yescharacteristic
167M16×C31—44no—
168C2×C8×C31—24no—
169C4⋊C4×C31—22no—
170C4⋊C4×C31—22no—
171C4⋊C4×C31—22no—
172C4⋊C4×C31—22no—
173C4⋊C4×C31—22no—
174C4⋊C4×C31—22no—
175C4⋊C4×C31—22no—
176C4⋊C4×C31—21no—
177C4⋊C4×C31—21no—
178C4⋊C4×C31—22no—
179C4⋊C4×C31—44no—
180C4⋊C4×C31C22×C412yes—
181C4⋊C4×C31C22×C412yes—
182C22⋊C4×C31—22no—
183C22⋊C4×C31—22no—
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—44no—
193C42×C31—22no—
194C42×C31—22no—
195C42×C31—44no—
196C42×C31C22⋊C411yescharacteristic
197C42×C31C22⋊C411yescharacteristic
198C42×C31C22⋊C411yescharacteristic
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×C31C2×D411yescharacteristic
209C42×C31C2×D411yescharacteristic
210C42×C31C2×D411yescharacteristic
211C42×C31C2×D411yescharacteristic
212#17554C3111yesmaximal, characteristic, direct product factor, Sylow
213C23×C31—22no—
214C23×C31—22no—
215C23×C31—22no—
216C23×C31—41no—
217C23×C31—42no—
218C23×C31—42no—
219C23×C31—42no—
220C23×C31C2×C22⋊C411yescharacteristic
221C23×C31C2×C22⋊C411yescharacteristic
222C23×C31C22×D411yescharacteristic
223Q8×C31—42no—
224Q8×C31—42no—
225D4×C31—42no—
226D4×C31—42no—
227D4×C31—44no—
228D4×C31—44no—
229C2×C4×C31—22no—
230C2×C4×C31—22no—
231C2×C4×C31—22no—
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—41no—
240C2×C4×C31—41no—
241C2×C4×C31—41no—
242C2×C4×C31—41no—
243C2×C4×C31—41no—
244C2×C4×C31—41no—
245C2×C4×C31—41no—
246C2×C4×C31—41no—
247C2×C4×C31—41no—
248C2×C4×C31—41no—
249C2×C4×C31—41no—
250C2×C4×C31—44no—
251C2×C4×C31—42no—
252C2×C4×C31—42no—
253C2×C4×C31—42no—
254C2×C4×C31—44no—
255C2×C4×C31—44no—
256C2×C4×C31—44no—
257C2×C4×C31—44no—
258C2×C4×C31C2×C22⋊C411yescharacteristic
259C2×C4×C31C2×C22⋊C411yescharacteristic
260C2×C4×C31C2×C22⋊C411yescharacteristic
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×C31C23×C411yescharacteristic
269C2×C4×C31C22×D411yescharacteristic
270C8×C31—44no—
271C2×#529C2×C3111yescharacteristic
272#2920C2×C3111yescharacteristic, complemented
273#2283C2×C3111yescharacteristic, complemented
274#1512C2×C3114yescomplemented
275#1511C2×C3112yescomplemented
276#1510C2×C3112yes—
277#1500C2×C3114yescomplemented
278C22×C31—21no—
279C22×C31—21no—
280C22×C31—21no—
281C22×C31—21no—
282C22×C31—21no—
283C22×C31—21no—
284C22×C31—21no—
285C22×C31—44no—
286C22×C31—42no—
287C22×C31—42no—
288C22×C31—42no—
289C22×C31—84no—
290C22×C31#41012yes—
291C22×C31C22×C22⋊C411yescharacteristic
292C22×C31#57512yes—
293C4×C31—21no—
294C4×C31—21no—
295C4×C31—21no—
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—42no—
305C4×C31—42no—
306C4×C31—42no—
307C4×C31—84no—
308C4×C31#42112yes—
309#529—21no—
310#529—21no—
311#529—21no—
312#529—21no—
313#529C4×C3112yescomplemented
314#529C4×C3112yescomplemented
315#529C22×C3112yes—
316#529C22×C3112yes—
317C2×#126—21no—
318C2×#125C4×C3111yescharacteristic, complemented
319C2×#124C4×C3111yescharacteristic, complemented
320C2×#123—21no—
321C2×C22⋊Q8C22×C3111yescharacteristic
322C2×#121C22×C3111yescharacteristic
323C2×C4×Q8C4×C3111yescharacteristic, complemented
324C2×C4×D4—21no—
325C2×C4×D4C4×C3111yescharacteristic, complemented
326C2×#117—21no—
327C22×C42C22×C3111yescharacteristic
328#432—21no—
329#432C22×C3112yescomplemented
330#431—21no—
331#431C22×C3112yescomplemented
332#423—21no—
333#407C22×C3112yes—
334C4×M16—21no—
335#383—21no—
336#382C22×C3112yescomplemented
337#381C22×C3112yes—
338#380—21no—
339C4×C4⋊C4—21no—
340C4×C22⋊C4—21no—
341#376C22×C3112yescomplemented
342#328C22×C3118yescomplemented
343#327C22×C3118yes—
344C2×C31—22no—
345C2×C31—22no—
346C2×C31—41no—
347C2×C31—82no—
348C2×C31C2×#41011yescharacteristic
349C2×C31#289611yescharacteristic
350C2×C31C2×#42111yescharacteristic
351C22×Q8C2×C4×C3111yescharacteristic
352C22×D4—21no—
353C22×D4C2×C4×C3111yescharacteristic
354C23×C4—21no—
355C23×C4D4×C3111yescharacteristic
356C23×C4D4×C3111yescharacteristic
357C23×C4C23×C3111yescharacteristic
358C2×M16—22no—
359#126—22no—
360#126—22no—
361#126—22no—
362#126—22no—
363#125—21no—
364#125—21no—
365#125C2×C4×C3112yes—
366#125C2×C4×C3112yes—
367#124—21no—
368#124—21no—
369#124C2×C4×C3112yes—
370#124C2×C4×C3112yes—
371#123—22no—
372#123—22no—
373#123—22no—
374#123—22no—
375C22⋊Q8—21no—
376C22⋊Q8—21no—
377C22⋊Q8C2×C4×C3112yes—
378C22⋊Q8C23×C3112yes—
379#121—21no—
380#121—21no—
381#121C2×C4×C3112yes—
382#121C23×C3112yes—
383C4×Q8—21no—
384C4×Q8—21no—
385C4×Q8C2×C4×C3112yes—
386C4×Q8C2×C4×C3112yes—
387C4×D4—22no—
388C4×D4—22no—
389C4×D4—22no—
390C4×D4—22no—
391C4×D4—21no—
392C4×D4—21no—
393C4×D4C2×C4×C3112yes—
394C4×D4C2×C4×C3112yes—
395#117—22no—
396#117—22no—
397#117—22no—
398#117—22no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4C2×C4×C3111yescharacteristic
405C2×C4⋊C4C2×C4×C3111yescharacteristic
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—21no—
409C2×C22⋊C4—21no—
410C2×C22⋊C4—21no—
411C2×C22⋊C4—22no—
412C2×C42—21no—
413C2×C42—22no—
414C2×C42C2×C4×C3111yescharacteristic
415C2×C42C2×C4×C3111yescharacteristic
416C2×C42C2×C4×C3111yescharacteristic
417C2×C42C2×C4×C3111yescharacteristic
418C2×C42D4×C3111yescharacteristic
419C2×C42D4×C3111yescharacteristic
420C2×C42D4×C3111yescharacteristic
421C2×C42D4×C3111yescharacteristic
422C2×C42D4×C3111yescharacteristic
423C2×C42D4×C3111yescharacteristic
424C2×C42C23×C3111yescharacteristic
425C2×C42C23×C3111yescharacteristic
426C4⋊C8—22no—
427C4⋊C8—22no—
428C22⋊C8—22no—
429C22⋊C8C23×C3114yes—
430#97—22no—
431C4×C8—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95C23×C3114yes—
436C31#1755411yescharacteristic, direct product factor, Sylow
437C24—21no—
438C24C2×D4×C3111yescharacteristic
439C2×Q8—21no—
440C2×Q8—42no—
441C2×Q8C22×C4×C3112yes—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—21no—
445C2×D4—42no—
446C2×D4—44no—
447C2×D4C22×C4×C3112yes—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—24no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—44no—
458C22×C4C22⋊C4×C3111yescharacteristic
459C22×C4C22⋊C4×C3111yescharacteristic
460C22×C4C22⋊C4×C3111yescharacteristic
461C22×C4C22⋊C4×C3111yescharacteristic
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×C4C2×D4×C3111yescharacteristic
469C22×C4C2×D4×C3111yescharacteristic
470C22×C4C2×D4×C3111yescharacteristic
471C22×C4C2×D4×C3111yescharacteristic
472C22×C4C2×D4×C3111yescharacteristic
473C22×C4C2×D4×C3111yescharacteristic
474C22×C4C2×D4×C3111yescharacteristic
475C22×C4C24×C3111yescharacteristic
476M16—44no—
477C2×C8—24no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—22no—
488C4⋊C4—44no—
489C4⋊C4C22×C4×C3112yes—
490C4⋊C4C22×C4×C3112yes—
491C22⋊C4—22no—
492C22⋊C4—22no—
493C22⋊C4—22no—
494C22⋊C4—22no—
495C22⋊C4—22no—
496C22⋊C4—22no—
497C22⋊C4—22no—
498C22⋊C4—22no—
499C22⋊C4—22no—
500C22⋊C4—22no—
501C22⋊C4—44no—
502C42—22no—
503C42—22no—
504C42—44no—
505C42C22⋊C4×C3111yescharacteristic
506C42C22⋊C4×C3111yescharacteristic
507C42C22⋊C4×C3111yescharacteristic
508C42C22⋊C4×C3111yescharacteristic
509C42C22⋊C4×C3111yescharacteristic
510C42C22⋊C4×C3111yescharacteristic
511C42C22⋊C4×C3111yescharacteristic
512C42C22⋊C4×C3111yescharacteristic
513C42C22×C4×C3111yescharacteristic
514C42C22×C4×C3111yescharacteristic
515C42C22×C4×C3111yescharacteristic
516C42C22×C4×C3111yescharacteristic
517C42C2×D4×C3111yescharacteristic
518C42C2×D4×C3111yescharacteristic
519C42C2×D4×C3111yescharacteristic
520C42C2×D4×C3111yescharacteristic
521C23—22no—
522C23—22no—
523C23—22no—
524C23—41no—
525C23—42no—
526C23—42no—
527C23—42no—
528C23C2×C22⋊C4×C3111yescharacteristic
529C23C2×C22⋊C4×C3111yescharacteristic
530C23C22×D4×C3111yescharacteristic
531Q8—42no—
532Q8—42no—
533D4—42no—
534D4—42no—
535D4—44no—
536D4—44no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—44no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—44no—
563C2×C4—44no—
564C2×C4—44no—
565C2×C4—44no—
566C2×C4C2×C22⋊C4×C3111yescharacteristic
567C2×C4C2×C22⋊C4×C3111yescharacteristic
568C2×C4C2×C22⋊C4×C3111yescharacteristic
569C2×C4C2×C22⋊C4×C3111yescharacteristic
570C2×C4C2×C22⋊C4×C3111yescharacteristic
571C2×C4C2×C22⋊C4×C3111yescharacteristic
572C2×C4C2×C22⋊C4×C3111yescharacteristic
573C2×C4C2×C22⋊C4×C3111yescharacteristic
574C2×C4C2×C22⋊C4×C3111yescharacteristic
575C2×C4C2×C22⋊C4×C3111yescharacteristic
576C2×C4C23×C4×C3111yescharacteristic
577C2×C4C22×D4×C3111yescharacteristic
578C8—44no—
579C22—21no—
580C22—21no—
581C22—21no—
582C22—21no—
583C22—21no—
584C22—21no—
585C22—21no—
586C22—44no—
587C22—42no—
588C22—42no—
589C22—42no—
590C22—84no—
591C22C31×#41012yes—
592C22C22×C22⋊C4×C3111yescharacteristic
593C22C31×#57512yes—
594C4—21no—
595C4—21no—
596C4—21no—
597C4—21no—
598C4—21no—
599C4—21no—
600C4—21no—
601C4—21no—
602C4—21no—
603C4—21no—
604C4—21no—
605C4—42no—
606C4—42no—
607C4—42no—
608C4—84no—
609C4C31×#42112yes—
610C2—22no—
611C2—22no—
612C2—41no—
613C2—82no—
614C2C2×C31×#41011yescharacteristic
615C2C31×#289611yescharacteristic
616C2C2×C31×#42111yescharacteristic
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. C31×#2283C2semidirect
4. C31×#1512C2semidirect
5. C31×#1511C2semidirect
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
28. C31×#432C22semidirect
30. C31×#431C22semidirect
35. C31×#382C22semidirect
40. C31×#376C22semidirect
41. C31×#328C22semidirect
212. #17554C31direct (N × H)
272. #2920C2×C31semidirect
273. #2283C2×C31semidirect
274. #1512C2×C31semidirect
275. #1511C2×C31semidirect
277. #1500C2×C31semidirect
313. #529C4×C31semidirect
314. #529C4×C31semidirect
318. C2×#125C4×C31semidirect
319. C2×#124C4×C31semidirect
323. C2×C4×Q8C4×C31semidirect
325. C2×C4×D4C4×C31semidirect
329. #432C22×C31semidirect
331. #431C22×C31semidirect
336. #382C22×C31semidirect
341. #376C22×C31semidirect
342. #328C22×C31semidirect
436. C31#17554direct (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
C31×#22832
C31×#15122
C31×#15112
C31×#15102
C31×#15002
#1755431