Finite Group Databasebeta

← C31×#26376 #21483135

Subgroups — C31×#26376 #21483135

Order 7936.

900 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#476C211yesmaximal, characteristic
2C2×C4×SD16×C31C211yesmaximal, characteristic
3C31×#2451C211yesmaximal, characteristic, complemented
4D4×C4⋊C4×C31C211yesmaximal, characteristic
5C31×#2096C211yesmaximal, characteristic, complemented
6C31×#2084C211yesmaximal, characteristic, complemented
7C31×#2066C211yesmaximal, characteristic, complemented
8C31×#2058C211yesmaximal, characteristic, complemented
9C31×#1941C211yesmaximal, characteristic, complemented
10C31×#1916C211yesmaximal, characteristic, complemented
11C31×#1877C211yesmaximal, characteristic
12C31×#1877C211yesmaximal, characteristic
13C31×#1865C211yesmaximal, characteristic, complemented
14C31×#1864C211yesmaximal, characteristic
15C31×#1864C211yesmaximal, characteristic
16C22×SD16×C31C2211yescharacteristic
17C2×C31×C4⋊Q8C2211yescharacteristic
18C2×C4×Q8×C31C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C2×C4×D4×C31C2211yescharacteristic
22C22×C4⋊C4×C31—21no—
23C31×#476—24no—
24C4×SD16×C31—24no—
25C2×C31×#106C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×#106C2211yescharacteristic
30C2×C31×C4⋊C8C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×#102C2211yescharacteristic
37C2×C4×C8×C31C2211yescharacteristic
38C31×#398—21no—
39C31×#395—21no—
40C31×#391—21no—
41C31×#391C2211yescharacteristic
42C31×#391C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#389C2211yescharacteristic
46C31×#389C2211yescharacteristic
47C31×#387—21no—
48C31×#385—21no—
49C31×#385—21no—
50C31×#384C2211yescharacteristic
51C31×#380—21no—
52C4×C4⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31—21no—
62C22×Q8×C31C2311yescharacteristic
63C22×D4×C31C2311yescharacteristic
64C23×C4×C31—21no—
65C23×C4×C31—21no—
66C23×C4×C31—21no—
67C2×SD16×C31—22no—
68C2×SD16×C31—22no—
69C2×SD16×C31Q814yescomplemented
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C31×C4⋊Q8—22no—
75C31×C4⋊Q8—41no—
76C4×Q8×C31—22no—
77C4×Q8×C31—41no—
78C4×D4×C31—22no—
79C4×D4×C31—22no—
80C4×D4×C31—22no—
81C4×D4×C31—22no—
82C4×D4×C31—41no—
83C4×D4×C31—41no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—21no—
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—44no—
93C2×C4⋊C4×C31D411yescharacteristic
94C2×C4⋊C4×C31D411yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C4⋊C4×C31C2311yescharacteristic
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C42×C31—21no—
105C2×C42×C31C2311yescharacteristic
106C2×C42×C31C2311yescharacteristic
107C2×C42×C31C2311yescharacteristic
108C31×#106—22no—
109C31×#106—22no—
110C31×#106—22no—
111C31×#106—22no—
112C31×#106—41no—
113C31×C4⋊C8—22no—
114C31×#103—22no—
115C31×#103—22no—
116C31×#103—41no—
117C31×#102—22no—
118C31×#102—22no—
119C31×#102D414yes—
120C4×C8×C31—22no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95D411yescharacteristic
130C31×#95D411yescharacteristic
131C24×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31—21no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—42no—
138C2×Q8×C31—42no—
139C2×Q8×C31—81no—
140C2×Q8×C31C2×Q812yes—
141C2×D4×C31—21no—
142C2×D4×C31—21no—
143C2×D4×C31—21no—
144C2×D4×C31C2×D412yes—
145C2×D4×C31C2×Q812yes—
146C2×D4×C31#4112yes—
147C22×C4×C31—24no—
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—42no—
156C22×C4×C31—42no—
157C22×C4×C31—42no—
158C22×C4×C31—42no—
159C22×C4×C31—42no—
160C22×C4×C31—42no—
161C22×C4×C31—81no—
162C22×C4×C31—81no—
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2411yescharacteristic
170SD16×C31—28no—
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×C31C2×D412yes—
182C2×C8×C31C2×Q812yes—
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—41no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—42no—
197C4⋊C4×C31—42no—
198C4⋊C4×C31—42no—
199C4⋊C4×C31—81no—
200C4⋊C4×C31—81no—
201C4⋊C4×C31—81no—
202C4⋊C4×C31SD1614yescomplemented
203C4⋊C4×C31C2×D412yes—
204C4⋊C4×C31#4112yes—
205C22⋊C4×C31—24no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—42no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—21no—
213C42×C31—21no—
214C42×C31—42no—
215#26376C3111yesmaximal, characteristic, direct product factor, Sylow
216C23×C31—22no—
217C23×C31—22no—
218C23×C31—22no—
219C23×C31—41no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31C22×D411yescharacteristic
224Q8×C31—22no—
225Q8×C31—22no—
226Q8×C31—41no—
227Q8×C31—41no—
228Q8×C31—84no—
229D4×C31—22no—
230D4×C31—22no—
231D4×C31—22no—
232D4×C31C22⋊Q814yes—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—22no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—48no—
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—84no—
271C2×C4×C31—84no—
272C2×C4×C31C2×SD1612yes—
273C2×C4×C31C2×SD1612yes—
274C2×C4×C31C2×SD1612yes—
275C2×C4×C31C22×D411yescharacteristic
276C2×C4×C31C22×Q811yescharacteristic
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31H(5,𝔽2)11yescharacteristic
280C2×C4×C312−1+411yescharacteristic
281C8×C31—22no—
282C8×C31—22no—
283C8×C31—41no—
284C8×C31—41no—
285C2×#476C2×C3111yescharacteristic
286C2×C4×SD16C2×C3111yescharacteristic
287#2451C2×C3111yescharacteristic, complemented
288D4×C4⋊C4C2×C3111yescharacteristic
289#2096C2×C3111yescharacteristic, complemented
290#2084C2×C3111yescharacteristic, complemented
291#2066C2×C3111yescharacteristic, complemented
292#2058C2×C3111yescharacteristic, complemented
293#1941C2×C3111yescharacteristic, complemented
294#1916C2×C3111yescharacteristic, complemented
295#1877C2×C3111yescharacteristic
296#1877C2×C3111yescharacteristic
297#1865C2×C3111yescharacteristic, complemented
298#1864C2×C3111yescharacteristic
299#1864C2×C3111yescharacteristic
300C22×C31—24no—
301C22×C31—42no—
302C22×C31—42no—
303C22×C31—42no—
304C22×C31—42no—
305C22×C31—42no—
306C22×C31—42no—
307C22×C31#52511yescharacteristic
308C22×C31D4211yescharacteristic
309C22×C31D4×Q811yescharacteristic
310C22×C31C22×SD1611yescharacteristic
311C22×C31#57511yescharacteristic
312C22×C31#57711yescharacteristic
313C22×C31#57711yescharacteristic
314C4×C31—22no—
315C4×C31—22no—
316C4×C31—22no—
317C4×C31—42no—
318C4×C31—41no—
319C4×C31—42no—
320C4×C31—41no—
321C4×C31—41no—
322C4×C31—42no—
323C4×C31—81no—
324C4×C31—81no—
325C4×C31—81no—
326C4×C31—81no—
327C4×C31C2×C22⋊Q811yescharacteristic
328C4×C31#53911yescharacteristic
329C4×C31#54711yescharacteristic
330C4×C31#55411yescharacteristic
331C22×SD16C22×C3111yescharacteristic
332C2×C4⋊Q8C22×C3111yescharacteristic
333C2×C4×Q8C22×C3111yescharacteristic
334C2×C4×D4C22×C3111yescharacteristic
335C2×C4×D4C22×C3111yescharacteristic
336C2×C4×D4C22×C3111yescharacteristic
337C22×C4⋊C4—21no—
338#476—24no—
339C4×SD16—24no—
340C2×#106C22×C3111yescharacteristic
341C2×#106C22×C3111yescharacteristic
342C2×#106C22×C3111yescharacteristic
343C2×#106C22×C3111yescharacteristic
344C2×#106C22×C3111yescharacteristic
345C2×C4⋊C8C22×C3111yescharacteristic
346C2×#103C22×C3111yescharacteristic
347C2×#103C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#102C22×C3111yescharacteristic
350C2×#102C22×C3111yescharacteristic
351C2×#102C22×C3111yescharacteristic
352C2×C4×C8C22×C3111yescharacteristic
353#398—21no—
354#395—21no—
355#391—21no—
356#391C22×C3111yescharacteristic
357#391C22×C3111yescharacteristic
358#389C22×C3111yescharacteristic
359#389C22×C3111yescharacteristic
360#389C22×C3111yescharacteristic
361#389C22×C3111yescharacteristic
362#387—21no—
363#385—21no—
364#385—21no—
365#384C22×C3111yescharacteristic
366#380—21no—
367C4×C4⋊C4C22×C3111yescharacteristic
368#340C22×C3111yescharacteristic
369#340C22×C3111yescharacteristic
370#340C22×C3111yescharacteristic
371#340C22×C3111yescharacteristic
372#336C22×C3111yescharacteristic
373#336C22×C3111yescharacteristic
374#336C22×C3111yescharacteristic
375#336C22×C3111yescharacteristic
376C2×C31—44no—
377C2×C31#244911yescharacteristic
378C2×C31#310111yescharacteristic
379C2×C31#312511yescharacteristic
380C2×C31#326711yescharacteristic
381C2×C31D4×SD1611yescharacteristic
382C2×C31Q8×SD1611yescharacteristic
383C2×C31#338811yescharacteristic
384C22×Q8—21no—
385C22×Q8C23×C3111yescharacteristic
386C22×D4C23×C3111yescharacteristic
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C2×SD16—22no—
391C2×SD16—22no—
392C2×SD16Q8×C3114yescomplemented
393C22×C8C23×C3111yescharacteristic
394C22×C8C23×C3111yescharacteristic
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397C4⋊Q8—22no—
398C4⋊Q8—41no—
399C4×Q8—22no—
400C4×Q8—41no—
401C4×D4—22no—
402C4×D4—22no—
403C4×D4—22no—
404C4×D4—22no—
405C4×D4—41no—
406C4×D4—41no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—44no—
416C2×C4⋊C4D4×C3111yescharacteristic
417C2×C4⋊C4D4×C3111yescharacteristic
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×C42—21no—
428C2×C42C23×C3111yescharacteristic
429C2×C42C23×C3111yescharacteristic
430C2×C42C23×C3111yescharacteristic
431#106—22no—
432#106—22no—
433#106—22no—
434#106—22no—
435#106—41no—
436C4⋊C8—22no—
437#103—22no—
438#103—22no—
439#103—41no—
440#102—22no—
441#102—22no—
442#102D4×C3114yes—
443C4×C8—22no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95D4×C3111yescharacteristic
453#95D4×C3111yescharacteristic
454C31#2637611yescharacteristic, direct product factor, Sylow
455C24—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—81no—
464C2×Q8C2×Q8×C3112yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C2×D4×C3112yes—
469C2×D4C2×Q8×C3112yes—
470C2×D4#41×C3112yes—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4C2×D4×C3111yescharacteristic
488C22×C4C2×D4×C3111yescharacteristic
489C22×C4C2×D4×C3111yescharacteristic
490C22×C4C2×D4×C3111yescharacteristic
491C22×C4C2×D4×C3111yescharacteristic
492C22×C4C2×D4×C3111yescharacteristic
493C22×C4C24×C3111yescharacteristic
494SD16—28no—
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×C8C2×D4×C3112yes—
506C2×C8C2×Q8×C3112yes—
507C4⋊C4—21no—
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—41no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4SD16×C3114yescomplemented
527C4⋊C4C2×D4×C3112yes—
528C4⋊C4#41×C3112yes—
529C22⋊C4—24no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—42no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23C22×D4×C3111yescharacteristic
547Q8—22no—
548Q8—22no—
549Q8—41no—
550Q8—41no—
551Q8—84no—
552D4—22no—
553D4—22no—
554D4—22no—
555D4C31×C22⋊Q814yes—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—48no—
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—84no—
594C2×C4—84no—
595C2×C4C2×SD16×C3112yes—
596C2×C4C2×SD16×C3112yes—
597C2×C4C2×SD16×C3112yes—
598C2×C4C22×D4×C3111yescharacteristic
599C2×C4C22×Q8×C3111yescharacteristic
600C2×C4C2×#41×C3111yescharacteristic
601C2×C4C2×#41×C3111yescharacteristic
602C2×C4C31×H(5,𝔽2)11yescharacteristic
603C2×C4C31×2−1+411yescharacteristic
604C8—22no—
605C8—22no—
606C8—41no—
607C8—41no—
608C22—24no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22C31×#52511yescharacteristic
616C22D42×C3111yescharacteristic
617C22D4×Q8×C3111yescharacteristic
618C22C22×SD16×C3111yescharacteristic
619C22C31×#57511yescharacteristic
620C22C31×#57711yescharacteristic
621C22C31×#57711yescharacteristic
622C4—22no—
623C4—22no—
624C4—22no—
625C4—42no—
626C4—41no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4C2×C31×C22⋊Q811yescharacteristic
636C4C31×#53911yescharacteristic
637C4C31×#54711yescharacteristic
638C4C31×#55411yescharacteristic
639C2—44no—
640C2C31×#244911yescharacteristic
641C2C31×#310111yescharacteristic
642C2C31×#312511yescharacteristic
643C2C31×#326711yescharacteristic
644C2D4×SD16×C3111yescharacteristic
645C2Q8×SD16×C3111yescharacteristic
646C2C31×#338811yescharacteristic
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
3. C31×#2451C2semidirect
5. C31×#2096C2semidirect
6. C31×#2084C2semidirect
7. C31×#2066C2semidirect
8. C31×#2058C2semidirect
9. C31×#1941C2semidirect
10. C31×#1916C2semidirect
13. C31×#1865C2semidirect
69. C2×SD16×C31Q8semidirect
202. C4⋊C4×C31SD16semidirect
215. #26376C31direct (N × H)
287. #2451C2×C31semidirect
289. #2096C2×C31semidirect
290. #2084C2×C31semidirect
291. #2066C2×C31semidirect
292. #2058C2×C31semidirect
293. #1941C2×C31semidirect
294. #1916C2×C31semidirect
297. #1865C2×C31semidirect
392. C2×SD16Q8×C31semidirect
454. C31#26376direct (N × H)
526. C4⋊C4SD16×C31semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#4762
C2×C4×SD16×C312
C31×#24512
D4×C4⋊C4×C312
C31×#20962
C31×#20842
C31×#20662
C31×#20582
C31×#19412
C31×#19162
C31×#18772
C31×#18652
C31×#18642
#2637631