Finite Group Databasebeta

← C31×#26166 #21482925

Subgroups — C31×#26166 #21482925

Order 7936.

904 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#461C211yesmaximal, characteristic
2C2×C4×SD16×C31C211yesmaximal, characteristic
3C31×#2446C211yesmaximal, characteristic, complemented
4D4×C4⋊C4×C31C211yesmaximal, characteristic
5C31×#2096C211yesmaximal, characteristic, complemented
6C31×#2088C211yesmaximal, characteristic, complemented
7C31×#2072C211yesmaximal, characteristic, complemented
8C31×#2043C211yesmaximal, characteristic, complemented
9C31×#1933C211yesmaximal, characteristic, complemented
10C31×#1916C211yesmaximal, characteristic, complemented
11C31×#1877C211yesmaximal, characteristic
12C31×#1877C211yesmaximal, characteristic
13C31×#1877C211yesmaximal, characteristic
14C31×#1865C211yesmaximal, characteristic, complemented
15C31×#1864C211yesmaximal, characteristic
16C22×SD16×C31C2211yescharacteristic
17C22×SD16×C31C2211yescharacteristic
18C2×C31×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C31C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C2×C4×D4×C31C2211yescharacteristic
22C2×C4×D4×C31C2211yescharacteristic
23C22×C4⋊C4×C31—21no—
24C31×#461—24no—
25C4×SD16×C31—24no—
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×C4⋊C8C2211yescharacteristic
29C2×C31×#103C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#103C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×#102C2211yescharacteristic
37C2×C4×C8×C31C2211yescharacteristic
38C31×#400—21no—
39C31×#398—21no—
40C31×#391C2211yescharacteristic
41C31×#391C2211yescharacteristic
42C31×#391C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#389C2211yescharacteristic
46C31×#387—21no—
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×C31C2311yescharacteristic
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×C31—22no—
70C2×SD16×C31—22no—
71C2×SD16×C31—22no—
72C2×SD16×C31D414yes—
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C22×C8×C31C2311yescharacteristic
76C22×C8×C31C2311yescharacteristic
77C31×C4⋊Q8—22no—
78C31×C4⋊Q8—41no—
79C4×Q8×C31—22no—
80C4×Q8×C31—41no—
81C4×D4×C31—22no—
82C4×D4×C31—22no—
83C4×D4×C31—22no—
84C4×D4×C31—22no—
85C4×D4×C31—41no—
86C4×D4×C31—41no—
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×C31—21no—
95C2×C4⋊C4×C31—44no—
96C2×C4⋊C4×C31D411yescharacteristic
97C2×C4⋊C4×C31D411yescharacteristic
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C4⋊C4×C31C2311yescharacteristic
101C2×C4⋊C4×C31C2311yescharacteristic
102C2×C4⋊C4×C31C2311yescharacteristic
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C22⋊C4×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31C2311yescharacteristic
108C2×C42×C31C2311yescharacteristic
109C2×C42×C31C2311yescharacteristic
110C31×#106—22no—
111C31×#106—41no—
112C31×C4⋊C8—22no—
113C31×#103—22no—
114C31×#103—22no—
115C31×#103—22no—
116C31×#103—22no—
117C31×#103—22no—
118C31×#103—41no—
119C31×#102—22no—
120C31×#102—22no—
121C4×C8×C31—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×#95—21no—
131C31×#95D411yescharacteristic
132C31×#95D411yescharacteristic
133C24×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×C31—21no—
145C2×Q8×C31C2×D412yes—
146C2×D4×C31—21no—
147C2×D4×C31—21no—
148C2×D4×C31—21no—
149C2×D4×C31C2×D412yes—
150C2×D4×C31#4112yes—
151C2×D4×C31#4112yes—
152C22×C4×C31—24no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—42no—
161C22×C4×C31—42no—
162C22×C4×C31—42no—
163C22×C4×C31—42no—
164C22×C4×C31—42no—
165C22×C4×C31—42no—
166C22×C4×C31—81no—
167C22×C4×C31—81no—
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2×D411yescharacteristic
173C22×C4×C31C2×D411yescharacteristic
174C22×C4×C31C2411yescharacteristic
175SD16×C31—28no—
176SD16×C31—44no—
177C2×C8×C31—21no—
178C2×C8×C31—21no—
179C2×C8×C31—21no—
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×C31C2×D412yes—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—21no—
194C4⋊C4×C31—21no—
195C4⋊C4×C31—21no—
196C4⋊C4×C31—21no—
197C4⋊C4×C31—21no—
198C4⋊C4×C31—41no—
199C4⋊C4×C31—42no—
200C4⋊C4×C31—42no—
201C4⋊C4×C31—42no—
202C4⋊C4×C31—42no—
203C4⋊C4×C31—42no—
204C4⋊C4×C31—42no—
205C4⋊C4×C31—42no—
206C4⋊C4×C31—81no—
207C4⋊C4×C31SD1614yescomplemented
208C4⋊C4×C31#4112yes—
209C22⋊C4×C31—24no—
210C22⋊C4×C31—42no—
211C22⋊C4×C31—42no—
212C42×C31—21no—
213C42×C31—21no—
214C42×C31—21no—
215C42×C31—21no—
216C42×C31—21no—
217C42×C31—21no—
218C42×C31—42no—
219#26166C3111yesmaximal, characteristic, direct product factor, Sylow
220C23×C31—22no—
221C23×C31—22no—
222C23×C31—22no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31C22×D411yescharacteristic
228Q8×C31—22no—
229Q8×C31—22no—
230Q8×C31—41no—
231Q8×C31—41no—
232Q8×C31—41no—
233Q8×C31—41no—
234Q8×C31—41no—
235Q8×C31—41no—
236D4×C31—22no—
237D4×C31—22no—
238D4×C31—22no—
239D4×C31#12314yes—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—22no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—22no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—21no—
256C2×C4×C31—21no—
257C2×C4×C31—48no—
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—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—84no—
278C2×C4×C31—84no—
279C2×C4×C31C2×SD1612yes—
280C2×C4×C31C2×SD1612yes—
281C2×C4×C31C2×SD1612yes—
282C2×C4×C31C22×D411yescharacteristic
283C2×C4×C31C2×#4111yescharacteristic
284C2×C4×C31C2×#4111yescharacteristic
285C2×C4×C31C2×#4111yescharacteristic
286C2×C4×C31H(5,𝔽2)11yescharacteristic
287C2×C4×C312−1+411yescharacteristic
288C8×C31—22no—
289C8×C31—41no—
290C8×C31—41no—
291C8×C31—41no—
292C2×#461C2×C3111yescharacteristic
293C2×C4×SD16C2×C3111yescharacteristic
294#2446C2×C3111yescharacteristic, complemented
295D4×C4⋊C4C2×C3111yescharacteristic
296#2096C2×C3111yescharacteristic, complemented
297#2088C2×C3111yescharacteristic, complemented
298#2072C2×C3111yescharacteristic, complemented
299#2043C2×C3111yescharacteristic, complemented
300#1933C2×C3111yescharacteristic, complemented
301#1916C2×C3111yescharacteristic, complemented
302#1877C2×C3111yescharacteristic
303#1877C2×C3111yescharacteristic
304#1877C2×C3111yescharacteristic
305#1865C2×C3111yescharacteristic, complemented
306#1864C2×C3111yescharacteristic
307C22×C31—24no—
308C22×C31—42no—
309C22×C31—42no—
310C22×C31—42no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—42no—
314C22×C31#52511yescharacteristic
315C22×C31D4211yescharacteristic
316C22×C31#54811yescharacteristic
317C22×C31C22×SD1611yescharacteristic
318C22×C31#57511yescharacteristic
319C22×C31#57711yescharacteristic
320C22×C31#57811yescharacteristic
321C4×C31—22no—
322C4×C31—22no—
323C4×C31—22no—
324C4×C31—42no—
325C4×C31—41no—
326C4×C31—42no—
327C4×C31—41no—
328C4×C31—41no—
329C4×C31—81no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31C2×#12311yescharacteristic
335C4×C31#53911yescharacteristic
336C4×C31#54711yescharacteristic
337C4×C31#55311yescharacteristic
338C22×SD16C22×C3111yescharacteristic
339C22×SD16C22×C3111yescharacteristic
340C2×C4⋊Q8C22×C3111yescharacteristic
341C2×C4×Q8C22×C3111yescharacteristic
342C2×C4×D4C22×C3111yescharacteristic
343C2×C4×D4C22×C3111yescharacteristic
344C2×C4×D4C22×C3111yescharacteristic
345C22×C4⋊C4—21no—
346#461—24no—
347C4×SD16—24no—
348C2×#106C22×C3111yescharacteristic
349C2×#106C22×C3111yescharacteristic
350C2×C4⋊C8C22×C3111yescharacteristic
351C2×#103C22×C3111yescharacteristic
352C2×#103C22×C3111yescharacteristic
353C2×#103C22×C3111yescharacteristic
354C2×#103C22×C3111yescharacteristic
355C2×#103C22×C3111yescharacteristic
356C2×#103C22×C3111yescharacteristic
357C2×#102C22×C3111yescharacteristic
358C2×#102C22×C3111yescharacteristic
359C2×C4×C8C22×C3111yescharacteristic
360#400—21no—
361#398—21no—
362#391C22×C3111yescharacteristic
363#391C22×C3111yescharacteristic
364#391C22×C3111yescharacteristic
365#389C22×C3111yescharacteristic
366#389C22×C3111yescharacteristic
367#389C22×C3111yescharacteristic
368#387—21no—
369#387—21no—
370#385—21no—
371#385—21no—
372#384C22×C3111yescharacteristic
373#380—21no—
374C4×C4⋊C4C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#336C22×C3111yescharacteristic
380#336C22×C3111yescharacteristic
381#336C22×C3111yescharacteristic
382#336C22×C3111yescharacteristic
383C2×C31—44no—
384C2×C31#244311yescharacteristic
385C2×C31#310111yescharacteristic
386C2×C31#312011yescharacteristic
387C2×C31#326911yescharacteristic
388C2×C31D4×SD1611yescharacteristic
389C2×C31#335911yescharacteristic
390C2×C31#337611yescharacteristic
391C22×Q8C23×C3111yescharacteristic
392C22×Q8C23×C3111yescharacteristic
393C22×D4C23×C3111yescharacteristic
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C2×SD16—22no—
398C2×SD16—22no—
399C2×SD16—22no—
400C2×SD16—22no—
401C2×SD16—22no—
402C2×SD16D4×C3114yes—
403C22×C8C23×C3111yescharacteristic
404C22×C8C23×C3111yescharacteristic
405C22×C8C23×C3111yescharacteristic
406C22×C8C23×C3111yescharacteristic
407C4⋊Q8—22no—
408C4⋊Q8—41no—
409C4×Q8—22no—
410C4×Q8—41no—
411C4×D4—22no—
412C4×D4—22no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—41no—
416C4×D4—41no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—44no—
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×C4⋊C4C23×C3111yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C42—21no—
437C2×C42C23×C3111yescharacteristic
438C2×C42C23×C3111yescharacteristic
439C2×C42C23×C3111yescharacteristic
440#106—22no—
441#106—41no—
442C4⋊C8—22no—
443#103—22no—
444#103—22no—
445#103—22no—
446#103—22no—
447#103—22no—
448#103—41no—
449#102—22no—
450#102—22no—
451C4×C8—22no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95D4×C3111yescharacteristic
462#95D4×C3111yescharacteristic
463C31#2616611yescharacteristic, direct product factor, Sylow
464C24—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C2×D4×C3112yes—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4C2×D4×C3112yes—
481C2×D4#41×C3112yes—
482C2×D4#41×C3112yes—
483C22×C4—24no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4C2×D4×C3111yescharacteristic
500C22×C4C2×D4×C3111yescharacteristic
501C22×C4C2×D4×C3111yescharacteristic
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C2×D4×C3111yescharacteristic
504C22×C4C2×D4×C3111yescharacteristic
505C22×C4C24×C3111yescharacteristic
506SD16—28no—
507SD16—44no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8C2×D4×C3112yes—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4SD16×C3114yescomplemented
539C4⋊C4#41×C3112yes—
540C22⋊C4—24no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—42no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23C22×D4×C3111yescharacteristic
558Q8—22no—
559Q8—22no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566D4—22no—
567D4—22no—
568D4—22no—
569D4C31×#12314yes—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—48no—
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—41no—
597C2×C4—41no—
598C2×C4—41no—
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—84no—
608C2×C4—84no—
609C2×C4C2×SD16×C3112yes—
610C2×C4C2×SD16×C3112yes—
611C2×C4C2×SD16×C3112yes—
612C2×C4C22×D4×C3111yescharacteristic
613C2×C4C2×#41×C3111yescharacteristic
614C2×C4C2×#41×C3111yescharacteristic
615C2×C4C2×#41×C3111yescharacteristic
616C2×C4C31×H(5,𝔽2)11yescharacteristic
617C2×C4C31×2−1+411yescharacteristic
618C8—22no—
619C8—41no—
620C8—41no—
621C8—41no—
622C22—24no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22C31×#52511yescharacteristic
630C22D42×C3111yescharacteristic
631C22C31×#54811yescharacteristic
632C22C22×SD16×C3111yescharacteristic
633C22C31×#57511yescharacteristic
634C22C31×#57711yescharacteristic
635C22C31×#57811yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—42no—
640C4—41no—
641C4—42no—
642C4—41no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4C2×C31×#12311yescharacteristic
650C4C31×#53911yescharacteristic
651C4C31×#54711yescharacteristic
652C4C31×#55311yescharacteristic
653C2—44no—
654C2C31×#244311yescharacteristic
655C2C31×#310111yescharacteristic
656C2C31×#312011yescharacteristic
657C2C31×#326911yescharacteristic
658C2D4×SD16×C3111yescharacteristic
659C2C31×#335911yescharacteristic
660C2C31×#337611yescharacteristic
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×#2446C2semidirect
5. C31×#2096C2semidirect
6. C31×#2088C2semidirect
7. C31×#2072C2semidirect
8. C31×#2043C2semidirect
9. C31×#1933C2semidirect
10. C31×#1916C2semidirect
14. C31×#1865C2semidirect
207. C4⋊C4×C31SD16semidirect
219. #26166C31direct (N × H)
294. #2446C2×C31semidirect
296. #2096C2×C31semidirect
297. #2088C2×C31semidirect
298. #2072C2×C31semidirect
299. #2043C2×C31semidirect
300. #1933C2×C31semidirect
301. #1916C2×C31semidirect
305. #1865C2×C31semidirect
463. C31#26166direct (N × H)
538. 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×#4612
C2×C4×SD16×C312
C31×#24462
D4×C4⋊C4×C312
C31×#20962
C31×#20882
C31×#20722
C31×#20432
C31×#19332
C31×#19162
C31×#18772
C31×#18652
C31×#18642
#2616631