Finite Group Databasebeta

← C31×#26310 #21483069

Subgroups — C31×#26310 #21483069

Order 7936.

784 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2562C211yesmaximal, characteristic
2D4×C4⋊C4×C31C211yesmaximal, characteristic
3C31×#2077C211yesmaximal, characteristic, complemented
4C31×#2077C211yesmaximal, characteristic, complemented
5C31×#2076C211yesmaximal, characteristic, complemented
6C31×#2075C211yesmaximal, characteristic, complemented
7C31×#1992C211yesmaximal, characteristic, complemented
8C31×#1989C211yesmaximal, characteristic, complemented
9C31×#1955C211yesmaximal, characteristic
10C31×#1948C211yesmaximal, characteristic, complemented
11C31×#1853C211yesmaximal, characteristic, complemented
12C31×#1853C211yesmaximal, characteristic, complemented
13C31×#1824C211yesmaximal, characteristic, complemented
14C31×#1823C211yesmaximal, characteristic, complemented
15C31×#1776C211yesmaximal, characteristic, complemented
16C2×C31×#125C2211yescharacteristic
17C2×C4×D4×C31—21no—
18C2×C4×D4×C31C2211yescharacteristic
19C22×C4⋊C4×C31C2211yescharacteristic
20C22×C4⋊C4×C31C2211yescharacteristic
21C2×C31×#107C2211yescharacteristic
22C2×C31×#106C2211yescharacteristic
23C2×C31×#106C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×C4⋊C8C2211yescharacteristic
26C2×C31×C22⋊C8C2211yescharacteristic
27C2×C31×C22⋊C8C2211yescharacteristic
28C2×C31×C22⋊C8C2211yescharacteristic
29C2×C31×C22⋊C8C2211yescharacteristic
30C2×C31×#97C2211yescharacteristic
31C31×#400—21no—
32C31×#394—21no—
33C31×#389—21no—
34C31×#388—21no—
35C31×#388—21no—
36C31×#385—21no—
37C31×#385—21no—
38C31×#384C2211yescharacteristic
39C31×#380C2211yescharacteristic
40C31×#380C2211yescharacteristic
41C31×#380C2211yescharacteristic
42C31×#380C2211yescharacteristic
43C31×#380C2211yescharacteristic
44C31×#380C2211yescharacteristic
45C4×C4⋊C4×C31C2211yescharacteristic
46C4×C4⋊C4×C31C2211yescharacteristic
47C31×#340C2211yescharacteristic
48C31×#340C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C22×D4×C31D411yescharacteristic
60C23×C4×C31—21no—
61C23×C4×C31—21no—
62C23×C4×C31C2311yescharacteristic
63C23×C4×C31C2311yescharacteristic
64C22×C8×C31C2311yescharacteristic
65C22×C8×C31C2311yescharacteristic
66C22×C8×C31C2311yescharacteristic
67C22×C8×C31C2311yescharacteristic
68C31×#125—22no—
69C31×#125—22no—
70C4×D4×C31—22no—
71C4×D4×C31—22no—
72C4×D4×C31—44no—
73C2×C4⋊C4×C31—22no—
74C2×C4⋊C4×C31—22no—
75C2×C4⋊C4×C31—21no—
76C2×C4⋊C4×C31—21no—
77C2×C4⋊C4×C31—21no—
78C2×C4⋊C4×C31—21no—
79C2×C4⋊C4×C31—21no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—41no—
82C2×C4⋊C4×C31—41no—
83C2×C4⋊C4×C31D411yescharacteristic
84C2×C4⋊C4×C31C2311yescharacteristic
85C2×C4⋊C4×C31C2311yescharacteristic
86C2×C4⋊C4×C31C2311yescharacteristic
87C2×C4⋊C4×C31C2311yescharacteristic
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C22⋊C4×C31—21no—
93C2×C22⋊C4×C31—21no—
94C2×C22⋊C4×C31—21no—
95C2×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31D411yescharacteristic
99C2×C22⋊C4×C31D411yescharacteristic
100C2×C42×C31—21no—
101C2×C42×C31—21no—
102C2×C42×C31C2311yescharacteristic
103C31×#107—22no—
104C31×#106—22no—
105C31×#106—41no—
106C31×#106—41no—
107C31×C4⋊C8—22no—
108C31×C22⋊C8—22no—
109C31×C22⋊C8—22no—
110C31×C22⋊C8—41no—
111C31×C22⋊C8—41no—
112C31×#97—22no—
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×C31—22no—
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—21no—
145C22×C4×C31—21no—
146C22×C4×C31—42no—
147C22×C4×C31—42no—
148C22×C4×C31—42no—
149C22×C4×C31—42no—
150C22×C4×C31—81no—
151C22×C4×C31—81no—
152C22×C4×C31C2×D411yescharacteristic
153C22×C4×C31C2×D411yescharacteristic
154C22×C4×C31C2×D411yescharacteristic
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2411yescharacteristic
157C2×C8×C31—21no—
158C2×C8×C31—21no—
159C2×C8×C31—21no—
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#4112yes—
169C4⋊C4×C31—22no—
170C4⋊C4×C31—21no—
171C4⋊C4×C31—21no—
172C4⋊C4×C31—21no—
173C4⋊C4×C31—21no—
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—42no—
186C4⋊C4×C31—42no—
187C4⋊C4×C31—42no—
188C4⋊C4×C31—42no—
189C4⋊C4×C31—42no—
190C4⋊C4×C31—81no—
191C4⋊C4×C31#4112yes—
192C22⋊C4×C31—22no—
193C22⋊C4×C31—22no—
194C22⋊C4×C31—42no—
195C22⋊C4×C31—42no—
196C22⋊C4×C31—42no—
197C22⋊C4×C31—42no—
198C22⋊C4×C31—81no—
199C22⋊C4×C31—81no—
200C42×C31—42no—
201C42×C31—81no—
202C42×C31#4112yes—
203C42×C31#4112yes—
204#26310C3111yesmaximal, characteristic, direct product factor, Sylow
205C23×C31—21no—
206C23×C31—21no—
207C23×C31—21no—
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×C31AGL(1,ℤ/8)12yes—
218C23×C31#13712yes—
219C23×C31C22×D411yescharacteristic
220D4×C31—28no—
221C2×C4×C31—21no—
222C2×C4×C31—21no—
223C2×C4×C31—21no—
224C2×C4×C31—21no—
225C2×C4×C31—21no—
226C2×C4×C31—21no—
227C2×C4×C31—22no—
228C2×C4×C31—21no—
229C2×C4×C31—21no—
230C2×C4×C31—21no—
231C2×C4×C31—21no—
232C2×C4×C31—41no—
233C2×C4×C31—41no—
234C2×C4×C31—41no—
235C2×C4×C31—41no—
236C2×C4×C31—41no—
237C2×C4×C31—41no—
238C2×C4×C31—41no—
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—84no—
264C2×C4×C31—84no—
265C2×C4×C31#12312yes—
266C2×C4×C31#12312yes—
267C2×C4×C31C2×#4111yescharacteristic
268C2×C4×C31C2×#4111yescharacteristic
269C2×C4×C31C2×#4111yescharacteristic
270C2×C4×C31C2×#4111yescharacteristic
271C2×C4×C31H(5,𝔽2)11yescharacteristic
272C2×C4×C312−1+411yescharacteristic
273C8×C31—22no—
274C8×C31—41no—
275C8×C31—41no—
276C8×C31—41no—
277#2562C2×C3111yescharacteristic
278D4×C4⋊C4C2×C3111yescharacteristic
279#2077C2×C3111yescharacteristic, complemented
280#2077C2×C3111yescharacteristic, complemented
281#2076C2×C3111yescharacteristic, complemented
282#2075C2×C3111yescharacteristic, complemented
283#1992C2×C3111yescharacteristic, complemented
284#1989C2×C3111yescharacteristic, complemented
285#1955C2×C3111yescharacteristic
286#1948C2×C3111yescharacteristic, complemented
287#1853C2×C3111yescharacteristic, complemented
288#1853C2×C3111yescharacteristic, complemented
289#1824C2×C3111yescharacteristic, complemented
290#1823C2×C3111yescharacteristic, complemented
291#1776C2×C3111yescharacteristic, complemented
292C22×C31—22no—
293C22×C31—22no—
294C22×C31—22no—
295C22×C31—22no—
296C22×C31—22no—
297C22×C31—22no—
298C22×C31—41no—
299C22×C31—41no—
300C22×C31—41no—
301C22×C31—41no—
302C22×C31—41no—
303C22×C31—41no—
304C22×C31—41no—
305C22×C31—41no—
306C22×C31C2×#12311yescharacteristic
307C22×C31#54611yescharacteristic
308C22×C31#54711yescharacteristic
309C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
310C22×C31C2×#13711yescharacteristic
311C22×C31#57711yescharacteristic
312C22×C31#57711yescharacteristic
313C4×C31—22no—
314C4×C31—22no—
315C4×C31—41no—
316C4×C31—41no—
317C4×C31—42no—
318C4×C31—81no—
319C4×C31—81no—
320C4×C31—81no—
321C4×C31—81no—
322C4×C31—81no—
323C4×C31—81no—
324C4×C31—81no—
325C4×C31#52911yescharacteristic
326C4×C31#54211yescharacteristic
327C4×C31#55611yescharacteristic
328C4×C31#55911yescharacteristic
329C2×#125C22×C3111yescharacteristic
330C2×C4×D4—21no—
331C2×C4×D4C22×C3111yescharacteristic
332C22×C4⋊C4C22×C3111yescharacteristic
333C22×C4⋊C4C22×C3111yescharacteristic
334C2×#107C22×C3111yescharacteristic
335C2×#106C22×C3111yescharacteristic
336C2×#106C22×C3111yescharacteristic
337C2×#106C22×C3111yescharacteristic
338C2×C4⋊C8C22×C3111yescharacteristic
339C2×C22⋊C8C22×C3111yescharacteristic
340C2×C22⋊C8C22×C3111yescharacteristic
341C2×C22⋊C8C22×C3111yescharacteristic
342C2×C22⋊C8C22×C3111yescharacteristic
343C2×#97C22×C3111yescharacteristic
344#400—21no—
345#394—21no—
346#389—21no—
347#388—21no—
348#388—21no—
349#385—21no—
350#385—21no—
351#384C22×C3111yescharacteristic
352#380C22×C3111yescharacteristic
353#380C22×C3111yescharacteristic
354#380C22×C3111yescharacteristic
355#380C22×C3111yescharacteristic
356#380C22×C3111yescharacteristic
357#380C22×C3111yescharacteristic
358C4×C4⋊C4C22×C3111yescharacteristic
359C4×C4⋊C4C22×C3111yescharacteristic
360#340C22×C3111yescharacteristic
361#340C22×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
372C2×C31—42no—
373C2×C31—42no—
374C2×C31#244711yescharacteristic
375C2×C31#309211yescharacteristic
376C2×C31#309911yescharacteristic
377C2×C31#331011yescharacteristic
378C2×C31#332011yescharacteristic
379C2×C31#334411yescharacteristic
380C2×C31#334511yescharacteristic
381C22×D4D4×C3111yescharacteristic
382C23×C4—21no—
383C23×C4—21no—
384C23×C4C23×C3111yescharacteristic
385C23×C4C23×C3111yescharacteristic
386C22×C8C23×C3111yescharacteristic
387C22×C8C23×C3111yescharacteristic
388C22×C8C23×C3111yescharacteristic
389C22×C8C23×C3111yescharacteristic
390#125—22no—
391#125—22no—
392C4×D4—22no—
393C4×D4—22no—
394C4×D4—44no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—22no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—41no—
404C2×C4⋊C4—41no—
405C2×C4⋊C4D4×C3111yescharacteristic
406C2×C4⋊C4C23×C3111yescharacteristic
407C2×C4⋊C4C23×C3111yescharacteristic
408C2×C4⋊C4C23×C3111yescharacteristic
409C2×C4⋊C4C23×C3111yescharacteristic
410C2×C4⋊C4C23×C3111yescharacteristic
411C2×C4⋊C4C23×C3111yescharacteristic
412C2×C4⋊C4C23×C3111yescharacteristic
413C2×C4⋊C4C23×C3111yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4D4×C3111yescharacteristic
421C2×C22⋊C4D4×C3111yescharacteristic
422C2×C42—21no—
423C2×C42—21no—
424C2×C42C23×C3111yescharacteristic
425#107—22no—
426#106—22no—
427#106—41no—
428#106—41no—
429C4⋊C8—22no—
430C22⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—41no—
433C22⋊C8—41no—
434#97—22no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443C31#2631011yescharacteristic, direct product factor, Sylow
444C24C2×D4×C3111yescharacteristic
445C24C2×D4×C3111yescharacteristic
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
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—42no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—42no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4C2×D4×C3111yescharacteristic
476C22×C4C2×D4×C3111yescharacteristic
477C22×C4C2×D4×C3111yescharacteristic
478C22×C4C2×D4×C3111yescharacteristic
479C22×C4C24×C3111yescharacteristic
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8#41×C3112yes—
492C4⋊C4—22no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—42no—
513C4⋊C4—81no—
514C4⋊C4#41×C3112yes—
515C22⋊C4—22no—
516C22⋊C4—22no—
517C22⋊C4—42no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—81no—
522C22⋊C4—81no—
523C42—42no—
524C42—81no—
525C42#41×C3112yes—
526C42#41×C3112yes—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23C31×AGL(1,ℤ/8)12yes—
540C23C31×#13712yes—
541C23C22×D4×C3111yescharacteristic
542D4—28no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
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—84no—
586C2×C4—84no—
587C2×C4C31×#12312yes—
588C2×C4C31×#12312yes—
589C2×C4C2×#41×C3111yescharacteristic
590C2×C4C2×#41×C3111yescharacteristic
591C2×C4C2×#41×C3111yescharacteristic
592C2×C4C2×#41×C3111yescharacteristic
593C2×C4C31×H(5,𝔽2)11yescharacteristic
594C2×C4C31×2−1+411yescharacteristic
595C8—22no—
596C8—41no—
597C8—41no—
598C8—41no—
599C22—22no—
600C22—22no—
601C22—22no—
602C22—22no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22C2×C31×#12311yescharacteristic
614C22C31×#54611yescharacteristic
615C22C31×#54711yescharacteristic
616C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
617C22C2×C31×#13711yescharacteristic
618C22C31×#57711yescharacteristic
619C22C31×#57711yescharacteristic
620C4—22no—
621C4—22no—
622C4—41no—
623C4—41no—
624C4—42no—
625C4—81no—
626C4—81no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4—81no—
632C4C31×#52911yescharacteristic
633C4C31×#54211yescharacteristic
634C4C31×#55611yescharacteristic
635C4C31×#55911yescharacteristic
636C2—42no—
637C2—42no—
638C2C31×#244711yescharacteristic
639C2C31×#309211yescharacteristic
640C2C31×#309911yescharacteristic
641C2C31×#331011yescharacteristic
642C2C31×#332011yescharacteristic
643C2C31×#334411yescharacteristic
644C2C31×#334511yescharacteristic
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×#2077C2semidirect
4. C31×#2077C2semidirect
5. C31×#2076C2semidirect
6. C31×#2075C2semidirect
7. C31×#1992C2semidirect
8. C31×#1989C2semidirect
10. C31×#1948C2semidirect
11. C31×#1853C2semidirect
12. C31×#1853C2semidirect
13. C31×#1824C2semidirect
14. C31×#1823C2semidirect
15. C31×#1776C2semidirect
204. #26310C31direct (N × H)
279. #2077C2×C31semidirect
280. #2077C2×C31semidirect
281. #2076C2×C31semidirect
282. #2075C2×C31semidirect
283. #1992C2×C31semidirect
284. #1989C2×C31semidirect
286. #1948C2×C31semidirect
287. #1853C2×C31semidirect
288. #1853C2×C31semidirect
289. #1824C2×C31semidirect
290. #1823C2×C31semidirect
291. #1776C2×C31semidirect
443. C31#26310direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#25622
D4×C4⋊C4×C312
C31×#20772
C31×#20762
C31×#20752
C31×#19922
C31×#19892
C31×#19552
C31×#19482
C31×#18532
C31×#18242
C31×#18232
C31×#17762
#2631031