Finite Group Databasebeta

← C31×#24933 #21481692

Subgroups — C31×#24933 #21481692

Order 7936.

854 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2486C211yesmaximal, characteristic
2D4×C4⋊C4×C31C211yesmaximal, characteristic
3C31×#2099C211yesmaximal, characteristic, complemented
4C31×#2083C211yesmaximal, characteristic, complemented
5C31×#2075C211yesmaximal, characteristic, complemented
6C31×#2075C211yesmaximal, characteristic, complemented
7C31×#1918C211yesmaximal, characteristic, complemented
8C31×#1918C211yesmaximal, characteristic, complemented
9C31×#1869C211yesmaximal, characteristic
10C31×#1852C211yesmaximal, characteristic, complemented
11C31×#1852C211yesmaximal, characteristic, complemented
12C31×#1823C211yesmaximal, characteristic, complemented
13C31×#1823C211yesmaximal, characteristic, complemented
14C31×#1808C211yesmaximal, characteristic, complemented
15C2×C31×#340C211yesmaximal, characteristic, complemented
16C23×C8×C31C2211yescharacteristic
17C2×C31×#123—21no—
18C2×C4×D4×C31—21no—
19C2×C4×D4×C31C2211yescharacteristic
20C22×C4⋊C4×C31C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C2×C31×#107C2211yescharacteristic
24C2×C31×#107C2211yescharacteristic
25C2×C31×#107C2211yescharacteristic
26C2×C31×#107C2211yescharacteristic
27C2×C31×C22⋊C8C2211yescharacteristic
28C2×C31×C22⋊C8C2211yescharacteristic
29C2×C31×C22⋊C8C2211yescharacteristic
30C31×#398—21no—
31C31×#397—21no—
32C31×#389—21no—
33C31×#389C2211yescharacteristic
34C31×#389C2211yescharacteristic
35C31×#385—21no—
36C31×#385—21no—
37C31×#384C2211yescharacteristic
38C31×#381—21no—
39C31×#380C2211yescharacteristic
40C31×#380C2211yescharacteristic
41C31×#380C2211yescharacteristic
42C31×#380C2211yescharacteristic
43C31×#380C2211yescharacteristic
44C4×C4⋊C4×C31C2211yescharacteristic
45C31×#340C2211yescharacteristic
46C31×#340C2211yescharacteristic
47C31×#340C2211yescharacteristic
48C31×#340C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C22×D4×C31D411yescharacteristic
60C23×C4×C31—21no—
61C23×C4×C31—21no—
62C23×C4×C31—21no—
63C23×C4×C31C2311yescharacteristic
64C23×C4×C31C2311yescharacteristic
65C22×C8×C31—22no—
66C22×C8×C31—22no—
67C22×C8×C31—41no—
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C31×#123—44no—
73C4×D4×C31—22no—
74C4×D4×C31—22no—
75C4×D4×C31—44no—
76C2×C4⋊C4×C31—22no—
77C2×C4⋊C4×C31—22no—
78C2×C4⋊C4×C31—22no—
79C2×C4⋊C4×C31—22no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—21no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—21no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—41no—
88C2×C4⋊C4×C31—41no—
89C2×C4⋊C4×C31D411yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
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×C31D411yescharacteristic
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C42×C31—21no—
106C2×C42×C31C2311yescharacteristic
107C31×#107—22no—
108C31×#107—22no—
109C31×#107—41no—
110C31×#107—41no—
111C31×C22⋊C8—22no—
112C31×C22⋊C8—22no—
113C31×C22⋊C8—41no—
114C31×#95—21no—
115C31×#95—21no—
116C31×#95—21no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C24×C31C2×D411yescharacteristic
123C24×C31C2×D411yescharacteristic
124C2×D4×C31—22no—
125C2×D4×C31—22no—
126C2×D4×C31D814yes—
127C22×C4×C31—21no—
128C22×C4×C31—21no—
129C22×C4×C31—21no—
130C22×C4×C31—21no—
131C22×C4×C31—21no—
132C22×C4×C31—21no—
133C22×C4×C31—21no—
134C22×C4×C31—21no—
135C22×C4×C31—21no—
136C22×C4×C31—21no—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—42no—
146C22×C4×C31—42no—
147C22×C4×C31—42no—
148C22×C4×C31—42no—
149C22×C4×C31—42no—
150C22×C4×C31—42no—
151C22×C4×C31—42no—
152C22×C4×C31—81no—
153C22×C4×C31—81no—
154C22×C4×C31C2×D411yescharacteristic
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31C2×D411yescharacteristic
158C22×C4×C31#4112yes—
159C22×C4×C31#4112yes—
160C22×C4×C31C2411yescharacteristic
161C2×C8×C31—21no—
162C2×C8×C31—21no—
163C2×C8×C31—21no—
164C2×C8×C31—21no—
165C2×C8×C31—21no—
166C2×C8×C31—21no—
167C2×C8×C31—21no—
168C2×C8×C31—21no—
169C2×C8×C31—21no—
170C2×C8×C31—21no—
171C2×C8×C31—21no—
172C2×C8×C31—44no—
173C2×C8×C31#4112yes—
174C4⋊C4×C31—22no—
175C4⋊C4×C31—21no—
176C4⋊C4×C31—21no—
177C4⋊C4×C31—21no—
178C4⋊C4×C31—21no—
179C4⋊C4×C31—21no—
180C4⋊C4×C31—21no—
181C4⋊C4×C31—21no—
182C4⋊C4×C31—21no—
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—42no—
191C4⋊C4×C31—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—81no—
197C4⋊C4×C31#4112yes—
198C22⋊C4×C31—22no—
199C22⋊C4×C31—22no—
200C22⋊C4×C31—42no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—42no—
205C42×C31—21no—
206C42×C31—21no—
207C42×C31—42no—
208#24933C3111yesmaximal, characteristic, direct product factor, Sylow
209C23×C31—21no—
210C23×C31—21no—
211C23×C31—21no—
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31#12312yes—
220C23×C31C2×D812yes—
221C23×C31C2×D812yes—
222C23×C31#13712yes—
223C23×C31C22×D411yescharacteristic
224D4×C31—28no—
225C2×C4×C31—21no—
226C2×C4×C31—21no—
227C2×C4×C31—21no—
228C2×C4×C31—21no—
229C2×C4×C31—22no—
230C2×C4×C31—22no—
231C2×C4×C31—22no—
232C2×C4×C31—22no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—22no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
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—41no—
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—84no—
268C2×C4×C31—84no—
269C2×C4×C31—84no—
270C2×C4×C31#12312yes—
271C2×C4×C31C2×D812yes—
272C2×C4×C31C2×#4111yescharacteristic
273C2×C4×C31C2×#4111yescharacteristic
274C2×C4×C31C2×#4111yescharacteristic
275C2×C4×C31C2×#4111yescharacteristic
276C2×C4×C31H(5,𝔽2)11yescharacteristic
277C2×C4×C312−1+411yescharacteristic
278C8×C31—22no—
279C8×C31—41no—
280C8×C31—41no—
281C8×C31—41no—
282#2486C2×C3111yescharacteristic
283D4×C4⋊C4C2×C3111yescharacteristic
284#2099C2×C3111yescharacteristic, complemented
285#2083C2×C3111yescharacteristic, complemented
286#2075C2×C3111yescharacteristic, complemented
287#2075C2×C3111yescharacteristic, complemented
288#1918C2×C3111yescharacteristic, complemented
289#1918C2×C3111yescharacteristic, complemented
290#1869C2×C3111yescharacteristic
291#1852C2×C3111yescharacteristic, complemented
292#1852C2×C3111yescharacteristic, complemented
293#1823C2×C3111yescharacteristic, complemented
294#1823C2×C3111yescharacteristic, complemented
295#1808C2×C3111yescharacteristic, complemented
296C2×#340C2×C3111yescharacteristic, complemented
297C22×C31—22no—
298C22×C31—22no—
299C22×C31—22no—
300C22×C31—22no—
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—22no—
305C22×C31—22no—
306C22×C31—41no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31—41no—
310C22×C31#48014yes—
311C22×C31C2×#12311yescharacteristic
312C22×C31#54611yescharacteristic
313C22×C31#54711yescharacteristic
314C22×C31C22×D811yescharacteristic
315C22×C31C2×#13711yescharacteristic
316C22×C31#57711yescharacteristic
317C22×C31#57811yescharacteristic
318C4×C31—22no—
319C4×C31—22no—
320C4×C31—41no—
321C4×C31—41no—
322C4×C31—42no—
323C4×C31—81no—
324C4×C31—81no—
325C4×C31—81no—
326C4×C31—81no—
327C4×C31—81no—
328C4×C31—81no—
329C4×C31—81no—
330C4×C31#52911yescharacteristic
331C4×C31#53911yescharacteristic
332C4×C31#55111yescharacteristic
333C4×C31#55211yescharacteristic
334C23×C8C22×C3111yescharacteristic
335C2×#123—21no—
336C2×C4×D4—21no—
337C2×C4×D4C22×C3111yescharacteristic
338C22×C4⋊C4C22×C3111yescharacteristic
339C22×C4⋊C4C22×C3111yescharacteristic
340C22×C4⋊C4C22×C3111yescharacteristic
341C2×#107C22×C3111yescharacteristic
342C2×#107C22×C3111yescharacteristic
343C2×#107C22×C3111yescharacteristic
344C2×#107C22×C3111yescharacteristic
345C2×C22⋊C8C22×C3111yescharacteristic
346C2×C22⋊C8C22×C3111yescharacteristic
347C2×C22⋊C8C22×C3111yescharacteristic
348#398—21no—
349#397—21no—
350#389—21no—
351#389C22×C3111yescharacteristic
352#389C22×C3111yescharacteristic
353#385—21no—
354#385—21no—
355#384C22×C3111yescharacteristic
356#381—21no—
357#380C22×C3111yescharacteristic
358#380C22×C3111yescharacteristic
359#380C22×C3111yescharacteristic
360#380C22×C3111yescharacteristic
361#380C22×C3111yescharacteristic
362C4×C4⋊C4C22×C3111yescharacteristic
363#340C22×C3111yescharacteristic
364#340C22×C3111yescharacteristic
365#340C22×C3111yescharacteristic
366#340C22×C3111yescharacteristic
367#340C22×C3111yescharacteristic
368#340C22×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—24no—
378C2×C31—42no—
379C2×C31#241911yescharacteristic
380C2×C31C2×#48011yescharacteristic
381C2×C31#309711yescharacteristic
382C2×C31#329411yescharacteristic
383C2×C31#331211yescharacteristic
384C2×C31#333411yescharacteristic
385C2×C31#334411yescharacteristic
386C22×D4D4×C3111yescharacteristic
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C23×C4C23×C3111yescharacteristic
391C23×C4C23×C3111yescharacteristic
392C22×C8—22no—
393C22×C8—22no—
394C22×C8—41no—
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397C22×C8C23×C3111yescharacteristic
398C22×C8C23×C3111yescharacteristic
399#123—44no—
400C4×D4—22no—
401C4×D4—22no—
402C4×D4—44no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—22no—
406C2×C4⋊C4—22no—
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—41no—
415C2×C4⋊C4—41no—
416C2×C4⋊C4D4×C3111yescharacteristic
417C2×C4⋊C4C23×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×C4⋊C4C23×C3111yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4D4×C3111yescharacteristic
431C2×C22⋊C4D4×C3111yescharacteristic
432C2×C42—21no—
433C2×C42C23×C3111yescharacteristic
434#107—22no—
435#107—22no—
436#107—41no—
437#107—41no—
438C22⋊C8—22no—
439C22⋊C8—22no—
440C22⋊C8—41no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449C31#2493311yescharacteristic, direct product factor, Sylow
450C24C2×D4×C3111yescharacteristic
451C24C2×D4×C3111yescharacteristic
452C2×D4—22no—
453C2×D4—22no—
454C2×D4D8×C3114yes—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4C2×D4×C3111yescharacteristic
483C22×C4C2×D4×C3111yescharacteristic
484C22×C4C2×D4×C3111yescharacteristic
485C22×C4C2×D4×C3111yescharacteristic
486C22×C4#41×C3112yes—
487C22×C4#41×C3112yes—
488C22×C4C24×C3111yescharacteristic
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—44no—
501C2×C8#41×C3112yes—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
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—21no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—81no—
525C4⋊C4#41×C3112yes—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C42—21no—
534C42—21no—
535C42—42no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23C31×#12312yes—
547C23C2×D8×C3112yes—
548C23C2×D8×C3112yes—
549C23C31×#13712yes—
550C23C22×D4×C3111yescharacteristic
551D4—28no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
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—84no—
595C2×C4—84no—
596C2×C4—84no—
597C2×C4C31×#12312yes—
598C2×C4C2×D8×C3112yes—
599C2×C4C2×#41×C3111yescharacteristic
600C2×C4C2×#41×C3111yescharacteristic
601C2×C4C2×#41×C3111yescharacteristic
602C2×C4C2×#41×C3111yescharacteristic
603C2×C4C31×H(5,𝔽2)11yescharacteristic
604C2×C4C31×2−1+411yescharacteristic
605C8—22no—
606C8—41no—
607C8—41no—
608C8—41no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22C31×#48014yes—
623C22C2×C31×#12311yescharacteristic
624C22C31×#54611yescharacteristic
625C22C31×#54711yescharacteristic
626C22C22×D8×C3111yescharacteristic
627C22C2×C31×#13711yescharacteristic
628C22C31×#57711yescharacteristic
629C22C31×#57811yescharacteristic
630C4—22no—
631C4—22no—
632C4—41no—
633C4—41no—
634C4—42no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4C31×#52911yescharacteristic
643C4C31×#53911yescharacteristic
644C4C31×#55111yescharacteristic
645C4C31×#55211yescharacteristic
646C2—24no—
647C2—42no—
648C2C31×#241911yescharacteristic
649C2C2×C31×#48011yescharacteristic
650C2C31×#309711yescharacteristic
651C2C31×#329411yescharacteristic
652C2C31×#331211yescharacteristic
653C2C31×#333411yescharacteristic
654C2C31×#334411yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C4×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
3. C31×#2099C2semidirect
4. C31×#2083C2semidirect
5. C31×#2075C2semidirect
6. C31×#2075C2semidirect
7. C31×#1918C2semidirect
8. C31×#1918C2semidirect
10. C31×#1852C2semidirect
11. C31×#1852C2semidirect
12. C31×#1823C2semidirect
13. C31×#1823C2semidirect
14. C31×#1808C2semidirect
15. C2×C31×#340C2semidirect
208. #24933C31direct (N × H)
284. #2099C2×C31semidirect
285. #2083C2×C31semidirect
286. #2075C2×C31semidirect
287. #2075C2×C31semidirect
288. #1918C2×C31semidirect
289. #1918C2×C31semidirect
291. #1852C2×C31semidirect
292. #1852C2×C31semidirect
293. #1823C2×C31semidirect
294. #1823C2×C31semidirect
295. #1808C2×C31semidirect
296. C2×#340C2×C31semidirect
449. C31#24933direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24862
D4×C4⋊C4×C312
C31×#20992
C31×#20832
C31×#20752
C31×#19182
C31×#18692
C31×#18522
C31×#18232
C31×#18082
C2×C31×#3402
#2493331