Finite Group Databasebeta

← C31×#24935 #21481694

Subgroups — C31×#24935 #21481694

Order 7936.

834 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2487C211yesmaximal, characteristic
2D4×C4⋊C4×C31C211yesmaximal, characteristic
3C31×#2099C211yesmaximal, characteristic, complemented
4C31×#2084C211yesmaximal, characteristic, complemented
5C31×#2077C211yesmaximal, characteristic, complemented
6C31×#2077C211yesmaximal, characteristic, complemented
7C31×#1920C211yesmaximal, characteristic, complemented
8C31×#1920C211yesmaximal, characteristic, complemented
9C31×#1869C211yesmaximal, characteristic
10C31×#1853C211yesmaximal, characteristic, complemented
11C31×#1853C211yesmaximal, characteristic, complemented
12C31×#1824C211yesmaximal, characteristic, complemented
13C31×#1823C211yesmaximal, characteristic, complemented
14C31×#1807C211yesmaximal, characteristic, complemented
15C2×C31×#340C211yesmaximal, characteristic, complemented
16C23×C8×C31C2211yescharacteristic
17C2×C4×D4×C31—21no—
18C2×C4×D4×C31C2211yescharacteristic
19C22×C4⋊C4×C31C2211yescharacteristic
20C22×C4⋊C4×C31C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C2×C31×#106C2211yescharacteristic
23C2×C31×#106C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×#106C2211yescharacteristic
26C2×C31×C22⋊C8C2211yescharacteristic
27C2×C31×C22⋊C8C2211yescharacteristic
28C2×C31×C22⋊C8C2211yescharacteristic
29C31×#400—21no—
30C31×#399—21no—
31C31×#389—21no—
32C31×#389C2211yescharacteristic
33C31×#389C2211yescharacteristic
34C31×#386—21no—
35C31×#385—21no—
36C31×#385—21no—
37C31×#385—21no—
38C31×#384C2211yescharacteristic
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
72C4×D4×C31—22no—
73C4×D4×C31—22no—
74C4×D4×C31—44no—
75C2×C4⋊C4×C31—22no—
76C2×C4⋊C4×C31—22no—
77C2×C4⋊C4×C31—22no—
78C2×C4⋊C4×C31—22no—
79C2×C4⋊C4×C31—21no—
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—41no—
87C2×C4⋊C4×C31—41no—
88C2×C4⋊C4×C31D411yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
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×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31D411yescharacteristic
103C2×C22⋊C4×C31D411yescharacteristic
104C2×C42×C31—21no—
105C2×C42×C31C2311yescharacteristic
106C31×#106—22no—
107C31×#106—22no—
108C31×#106—41no—
109C31×#106—41no—
110C31×C22⋊C8—22no—
111C31×C22⋊C8—22no—
112C31×C22⋊C8—41no—
113C31×#95—21no—
114C31×#95—21no—
115C31×#95—21no—
116C31×#95—21no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C24×C31C2×D411yescharacteristic
122C24×C31C2×D411yescharacteristic
123C2×D4×C31—22no—
124C2×D4×C31—22no—
125C2×D4×C31SD1614yes—
126C22×C4×C31—21no—
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—42no—
145C22×C4×C31—42no—
146C22×C4×C31—42no—
147C22×C4×C31—42no—
148C22×C4×C31—42no—
149C22×C4×C31—81no—
150C22×C4×C31—81no—
151C22×C4×C31—81no—
152C22×C4×C31—81no—
153C22×C4×C31C2×D411yescharacteristic
154C22×C4×C31C2×D411yescharacteristic
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31#4112yes—
158C22×C4×C31#4112yes—
159C22×C4×C31C2411yescharacteristic
160C2×C8×C31—21no—
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—44no—
172C2×C8×C31#4112yes—
173C4⋊C4×C31—22no—
174C4⋊C4×C31—21no—
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—42no—
190C4⋊C4×C31—42no—
191C4⋊C4×C31—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—81no—
194C4⋊C4×C31—81no—
195C4⋊C4×C31—81no—
196C4⋊C4×C31#4112yes—
197C22⋊C4×C31—22no—
198C22⋊C4×C31—22no—
199C22⋊C4×C31—42no—
200C22⋊C4×C31—42no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—81no—
203C22⋊C4×C31—81no—
204C42×C31—21no—
205C42×C31—21no—
206C42×C31—42no—
207#24935C3111yesmaximal, characteristic, direct product factor, Sylow
208C23×C31—21no—
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#12312yes—
219C23×C31C2×SD1612yes—
220C23×C31C2×SD1612yes—
221C23×C31#13712yes—
222C23×C31C22×D411yescharacteristic
223D4×C31—28no—
224C2×C4×C31—21no—
225C2×C4×C31—21no—
226C2×C4×C31—21no—
227C2×C4×C31—21no—
228C2×C4×C31—22no—
229C2×C4×C31—22no—
230C2×C4×C31—22no—
231C2×C4×C31—22no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—22no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
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—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—84no—
267C2×C4×C31—84no—
268C2×C4×C31—84no—
269C2×C4×C31#12312yes—
270C2×C4×C31C2×SD1612yes—
271C2×C4×C31C2×#4111yescharacteristic
272C2×C4×C31C2×#4111yescharacteristic
273C2×C4×C31C2×#4111yescharacteristic
274C2×C4×C31C2×#4111yescharacteristic
275C2×C4×C31H(5,𝔽2)11yescharacteristic
276C2×C4×C312−1+411yescharacteristic
277C8×C31—22no—
278C8×C31—41no—
279C8×C31—41no—
280C8×C31—41no—
281#2487C2×C3111yescharacteristic
282D4×C4⋊C4C2×C3111yescharacteristic
283#2099C2×C3111yescharacteristic, complemented
284#2084C2×C3111yescharacteristic, complemented
285#2077C2×C3111yescharacteristic, complemented
286#2077C2×C3111yescharacteristic, complemented
287#1920C2×C3111yescharacteristic, complemented
288#1920C2×C3111yescharacteristic, complemented
289#1869C2×C3111yescharacteristic
290#1853C2×C3111yescharacteristic, complemented
291#1853C2×C3111yescharacteristic, complemented
292#1824C2×C3111yescharacteristic, complemented
293#1823C2×C3111yescharacteristic, complemented
294#1807C2×C3111yescharacteristic, complemented
295C2×#340C2×C3111yescharacteristic, complemented
296C22×C31—22no—
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—41no—
306C22×C31—41no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31#48314yes—
310C22×C31C2×#12311yescharacteristic
311C22×C31#54611yescharacteristic
312C22×C31#54711yescharacteristic
313C22×C31C22×SD1611yescharacteristic
314C22×C31C2×#13711yescharacteristic
315C22×C31#57611yescharacteristic
316C22×C31#57711yescharacteristic
317C4×C31—22no—
318C4×C31—22no—
319C4×C31—41no—
320C4×C31—41no—
321C4×C31—42no—
322C4×C31—81no—
323C4×C31—81no—
324C4×C31—81no—
325C4×C31—81no—
326C4×C31—81no—
327C4×C31—81no—
328C4×C31—81no—
329C4×C31#52911yescharacteristic
330C4×C31#53911yescharacteristic
331C4×C31#55111yescharacteristic
332C4×C31#55211yescharacteristic
333C23×C8C22×C3111yescharacteristic
334C2×C4×D4—21no—
335C2×C4×D4C22×C3111yescharacteristic
336C22×C4⋊C4C22×C3111yescharacteristic
337C22×C4⋊C4C22×C3111yescharacteristic
338C22×C4⋊C4C22×C3111yescharacteristic
339C2×#106C22×C3111yescharacteristic
340C2×#106C22×C3111yescharacteristic
341C2×#106C22×C3111yescharacteristic
342C2×#106C22×C3111yescharacteristic
343C2×C22⋊C8C22×C3111yescharacteristic
344C2×C22⋊C8C22×C3111yescharacteristic
345C2×C22⋊C8C22×C3111yescharacteristic
346#400—21no—
347#399—21no—
348#389—21no—
349#389C22×C3111yescharacteristic
350#389C22×C3111yescharacteristic
351#386—21no—
352#385—21no—
353#385—21no—
354#385—21no—
355#384C22×C3111yescharacteristic
356#380C22×C3111yescharacteristic
357#380C22×C3111yescharacteristic
358#380C22×C3111yescharacteristic
359#380C22×C3111yescharacteristic
360#380C22×C3111yescharacteristic
361C4×C4⋊C4C22×C3111yescharacteristic
362#340C22×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#336C22×C3111yescharacteristic
375#336C22×C3111yescharacteristic
376C2×C31—24no—
377C2×C31—42no—
378C2×C31#241911yescharacteristic
379C2×C31C2×#48311yescharacteristic
380C2×C31#309611yescharacteristic
381C2×C31#329511yescharacteristic
382C2×C31#332011yescharacteristic
383C2×C31#333511yescharacteristic
384C2×C31#334611yescharacteristic
385C22×D4D4×C3111yescharacteristic
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—21no—
389C23×C4C23×C3111yescharacteristic
390C23×C4C23×C3111yescharacteristic
391C22×C8—22no—
392C22×C8—22no—
393C22×C8—41no—
394C22×C8C23×C3111yescharacteristic
395C22×C8C23×C3111yescharacteristic
396C22×C8C23×C3111yescharacteristic
397C22×C8C23×C3111yescharacteristic
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—44no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—41no—
413C2×C4⋊C4—41no—
414C2×C4⋊C4D4×C3111yescharacteristic
415C2×C4⋊C4C23×C3111yescharacteristic
416C2×C4⋊C4C23×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×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4D4×C3111yescharacteristic
429C2×C22⋊C4D4×C3111yescharacteristic
430C2×C42—21no—
431C2×C42C23×C3111yescharacteristic
432#106—22no—
433#106—22no—
434#106—41no—
435#106—41no—
436C22⋊C8—22no—
437C22⋊C8—22no—
438C22⋊C8—41no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447C31#2493511yescharacteristic, direct product factor, Sylow
448C24C2×D4×C3111yescharacteristic
449C24C2×D4×C3111yescharacteristic
450C2×D4—22no—
451C2×D4—22no—
452C2×D4SD16×C3114yes—
453C22×C4—21no—
454C22×C4—21no—
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—42no—
472C22×C4—42no—
473C22×C4—42no—
474C22×C4—42no—
475C22×C4—42no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4C2×D4×C3111yescharacteristic
481C22×C4C2×D4×C3111yescharacteristic
482C22×C4C2×D4×C3111yescharacteristic
483C22×C4C2×D4×C3111yescharacteristic
484C22×C4#41×C3112yes—
485C22×C4#41×C3112yes—
486C22×C4C24×C3111yescharacteristic
487C2×C8—21no—
488C2×C8—21no—
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—44no—
499C2×C8#41×C3112yes—
500C4⋊C4—22no—
501C4⋊C4—21no—
502C4⋊C4—21no—
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—42no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—81no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4#41×C3112yes—
524C22⋊C4—22no—
525C22⋊C4—22no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—42no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23C31×#12312yes—
545C23C2×SD16×C3112yes—
546C23C2×SD16×C3112yes—
547C23C31×#13712yes—
548C23C22×D4×C3111yescharacteristic
549D4—28no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—41no—
566C2×C4—41no—
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—84no—
593C2×C4—84no—
594C2×C4—84no—
595C2×C4C31×#12312yes—
596C2×C4C2×SD16×C3112yes—
597C2×C4C2×#41×C3111yescharacteristic
598C2×C4C2×#41×C3111yescharacteristic
599C2×C4C2×#41×C3111yescharacteristic
600C2×C4C2×#41×C3111yescharacteristic
601C2×C4C31×H(5,𝔽2)11yescharacteristic
602C2×C4C31×2−1+411yescharacteristic
603C8—22no—
604C8—41no—
605C8—41no—
606C8—41no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—22no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22C31×#48314yes—
621C22C2×C31×#12311yescharacteristic
622C22C31×#54611yescharacteristic
623C22C31×#54711yescharacteristic
624C22C22×SD16×C3111yescharacteristic
625C22C2×C31×#13711yescharacteristic
626C22C31×#57611yescharacteristic
627C22C31×#57711yescharacteristic
628C4—22no—
629C4—22no—
630C4—41no—
631C4—41no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4—81no—
639C4—81no—
640C4C31×#52911yescharacteristic
641C4C31×#53911yescharacteristic
642C4C31×#55111yescharacteristic
643C4C31×#55211yescharacteristic
644C2—24no—
645C2—42no—
646C2C31×#241911yescharacteristic
647C2C2×C31×#48311yescharacteristic
648C2C31×#309611yescharacteristic
649C2C31×#329511yescharacteristic
650C2C31×#332011yescharacteristic
651C2C31×#333511yescharacteristic
652C2C31×#334611yescharacteristic
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×#2084C2semidirect
5. C31×#2077C2semidirect
6. C31×#2077C2semidirect
7. C31×#1920C2semidirect
8. C31×#1920C2semidirect
10. C31×#1853C2semidirect
11. C31×#1853C2semidirect
12. C31×#1824C2semidirect
13. C31×#1823C2semidirect
14. C31×#1807C2semidirect
15. C2×C31×#340C2semidirect
207. #24935C31direct (N × H)
283. #2099C2×C31semidirect
284. #2084C2×C31semidirect
285. #2077C2×C31semidirect
286. #2077C2×C31semidirect
287. #1920C2×C31semidirect
288. #1920C2×C31semidirect
290. #1853C2×C31semidirect
291. #1853C2×C31semidirect
292. #1824C2×C31semidirect
293. #1823C2×C31semidirect
294. #1807C2×C31semidirect
295. C2×#340C2×C31semidirect
447. C31#24935direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24872
D4×C4⋊C4×C312
C31×#20992
C31×#20842
C31×#20772
C31×#19202
C31×#18692
C31×#18532
C31×#18242
C31×#18232
C31×#18072
C2×C31×#3402
#2493531