Finite Group Databasebeta

← C31×#24852 #21481611

Subgroups — C31×#24852 #21481611

Order 7936.

844 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#478C211yesmaximal, characteristic, complemented
2C2×C31×#424C211yesmaximal, characteristic, complemented
3C31×#2629C211yesmaximal, characteristic, complemented
4C31×#2324C211yesmaximal, characteristic
5C31×#2088C211yesmaximal, characteristic, complemented
6C31×#2086C211yesmaximal, characteristic, complemented
7C31×#2065C211yesmaximal, characteristic, complemented
8C31×#2065C211yesmaximal, characteristic, complemented
9C31×#1989C211yesmaximal, characteristic, complemented
10C31×#1948C211yesmaximal, characteristic, complemented
11C31×#1895C211yesmaximal, characteristic
12C31×#1893C211yesmaximal, characteristic
13C31×#1809C211yesmaximal, characteristic, complemented
14C31×#1807C211yesmaximal, characteristic, complemented
15C31×#1802C211yesmaximal, characteristic, complemented
16C22×M16×C31C2211yescharacteristic
17C23×C8×C31C2211yescharacteristic
18C2×C31×#125C2211yescharacteristic
19C2×C31×#121C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C31×#478—24no—
23C2×C31×#107C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×#106C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C31×#424—24no—
28C2×C31×C4⋊C8C2211yescharacteristic
29C2×C31×C4⋊C8C2211yescharacteristic
30C2×C31×C4⋊C8C2211yescharacteristic
31C2×C31×C4⋊C8C2211yescharacteristic
32C2×C31×#102C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C31×#398—21no—
37C31×#398—21no—
38C31×#396—21no—
39C31×#396—21no—
40C31×#390—21no—
41C31×#390C2211yescharacteristic
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#388—21no—
46C31×#386—21no—
47C31×#385—21no—
48C31×#384C2211yescharacteristic
49C31×#380C2211yescharacteristic
50C31×#380C2211yescharacteristic
51C31×#380C2211yescharacteristic
52C4×C4⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#340C2211yescharacteristic
60C31×#340C2211yescharacteristic
61C22×D4×C31—21no—
62C22×D4×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31C2311yescharacteristic
65C2×M16×C31—22no—
66C2×M16×C31—22no—
67C2×M16×C31—41no—
68C22×C8×C31—22no—
69C22×C8×C31—22no—
70C22×C8×C31—41no—
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C31×#125—22no—
76C31×#125—22no—
77C31×#121—22no—
78C31×#121Q814yes—
79C4×D4×C31—22no—
80C4×D4×C31—22no—
81C31×#117—22no—
82C31×#117—22no—
83C2×C4⋊C4×C31—21no—
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×C31D411yescharacteristic
91C2×C4⋊C4×C31D411yescharacteristic
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×C4⋊C4×C31C2311yescharacteristic
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C22⋊C4×C31—21no—
106C2×C22⋊C4×C31D411yescharacteristic
107C2×C22⋊C4×C31D411yescharacteristic
108C2×C42×C31—21no—
109C2×C42×C31C2311yescharacteristic
110C2×C42×C31C2311yescharacteristic
111C31×#107—22no—
112C31×#106—22no—
113C31×#106—41no—
114C31×#106—41no—
115C31×C4⋊C8—22no—
116C31×C4⋊C8—22no—
117C31×C4⋊C8—22no—
118C31×C4⋊C8D414yescomplemented
119C31×#102—22no—
120C31×#102—22no—
121C31×#102—41no—
122C31×#102—41no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95—21no—
130C24×C31—21no—
131C24×C31C2×D411yescharacteristic
132C2×D4×C31—24no—
133C2×D4×C31—21no—
134C2×D4×C31—21no—
135C2×D4×C31—21no—
136C2×D4×C31—21no—
137C2×D4×C31—21no—
138C2×D4×C31—81no—
139C2×D4×C31—81no—
140C2×D4×C31C2×Q812yes—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—42no—
153C22×C4×C31—81no—
154C22×C4×C31—81no—
155C22×C4×C31C2×D411yescharacteristic
156C22×C4×C31C2×D411yescharacteristic
157C22×C4×C31C2×D411yescharacteristic
158C22×C4×C31C2×D411yescharacteristic
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×Q812yes—
161C22×C4×C31#4112yes—
162C22×C4×C31C2411yescharacteristic
163M16×C31—44no—
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—21no—
173C2×C8×C31—21no—
174C2×C8×C31—44no—
175C2×C8×C31C2×D412yes—
176C2×C8×C31C2×D412yes—
177C4⋊C4×C31—22no—
178C4⋊C4×C31—22no—
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—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—81no—
195C4⋊C4×C31—81no—
196C4⋊C4×C31—81no—
197C4⋊C4×C31—81no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31C2×Q812yes—
200C22⋊C4×C31—22no—
201C22⋊C4×C31—22no—
202C22⋊C4×C31—24no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—81no—
205C22⋊C4×C31—81no—
206C22⋊C4×C31—81no—
207C22⋊C4×C31—81no—
208C22⋊C4×C31—81no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—81no—
212C42×C31C2×D412yes—
213C42×C31#4112yes—
214#24852C3111yesmaximal, characteristic, direct product factor, Sylow
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—22no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31C22⋊Q812yes—
229C23×C31C22×D411yescharacteristic
230D4×C31—22no—
231D4×C31—22no—
232D4×C31—41no—
233D4×C31—41no—
234D4×C31—84no—
235C2×C4×C31—21no—
236C2×C4×C31—21no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—22no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
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—41no—
271C2×C4×C31—41no—
272C2×C4×C31—84no—
273C2×C4×C31#12112yes—
274C2×C4×C31#12112yes—
275C2×C4×C31C22⋊Q812yes—
276C2×C4×C31C22×D411yescharacteristic
277C2×C4×C31C22×Q811yescharacteristic
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31C2×#4111yescharacteristic
280C2×C4×C31H(5,𝔽2)11yescharacteristic
281C2×C4×C312−1+411yescharacteristic
282C8×C31—22no—
283C8×C31—22no—
284C8×C31—41no—
285C8×C31—41no—
286C2×#478C2×C3111yescharacteristic, complemented
287C2×#424C2×C3111yescharacteristic, complemented
288#2629C2×C3111yescharacteristic, complemented
289#2324C2×C3111yescharacteristic
290#2088C2×C3111yescharacteristic, complemented
291#2086C2×C3111yescharacteristic, complemented
292#2065C2×C3111yescharacteristic, complemented
293#2065C2×C3111yescharacteristic, complemented
294#1989C2×C3111yescharacteristic, complemented
295#1948C2×C3111yescharacteristic, complemented
296#1895C2×C3111yescharacteristic
297#1893C2×C3111yescharacteristic
298#1809C2×C3111yescharacteristic, complemented
299#1807C2×C3111yescharacteristic, complemented
300#1802C2×C3111yescharacteristic, complemented
301C22×C31—22no—
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—41no—
305C22×C31—41no—
306C22×C31—41no—
307C22×C31—41no—
308C22×C31—42no—
309C22×C31—42no—
310C22×C31—42no—
311C22×C31—81no—
312C22×C31—81no—
313C22×C31—81no—
314C22×C31—81no—
315C22×C31C2×#12111yescharacteristic
316C22×C31C2×C22⋊Q811yescharacteristic
317C22×C31#53711yescharacteristic
318C22×C31#57611yescharacteristic
319C22×C31#57711yescharacteristic
320C22×C31#57711yescharacteristic
321C22×C31#57711yescharacteristic
322C4×C31—22no—
323C4×C31—22no—
324C4×C31—22no—
325C4×C31—42no—
326C4×C31—41no—
327C4×C31—41no—
328C4×C31—81no—
329C4×C31—81no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31#54611yescharacteristic
335C4×C31D4×Q811yescharacteristic
336C4×C31#55211yescharacteristic
337C4×C31#55411yescharacteristic
338C22×M16C22×C3111yescharacteristic
339C23×C8C22×C3111yescharacteristic
340C2×#125C22×C3111yescharacteristic
341C2×#121C22×C3111yescharacteristic
342C2×C4×D4C22×C3111yescharacteristic
343C2×#117C22×C3111yescharacteristic
344#478—24no—
345C2×#107C22×C3111yescharacteristic
346C2×#106C22×C3111yescharacteristic
347C2×#106C22×C3111yescharacteristic
348C2×#106C22×C3111yescharacteristic
349#424—24no—
350C2×C4⋊C8C22×C3111yescharacteristic
351C2×C4⋊C8C22×C3111yescharacteristic
352C2×C4⋊C8C22×C3111yescharacteristic
353C2×C4⋊C8C22×C3111yescharacteristic
354C2×#102C22×C3111yescharacteristic
355C2×#102C22×C3111yescharacteristic
356C2×#102C22×C3111yescharacteristic
357C2×#102C22×C3111yescharacteristic
358#398—21no—
359#398—21no—
360#396—21no—
361#396—21no—
362#390—21no—
363#390C22×C3111yescharacteristic
364#389C22×C3111yescharacteristic
365#389C22×C3111yescharacteristic
366#389C22×C3111yescharacteristic
367#388—21no—
368#386—21no—
369#385—21no—
370#384C22×C3111yescharacteristic
371#380C22×C3111yescharacteristic
372#380C22×C3111yescharacteristic
373#380C22×C3111yescharacteristic
374C4×C4⋊C4C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#340C22×C3111yescharacteristic
382#340C22×C3111yescharacteristic
383C2×C31—42no—
384C2×C31—82no—
385C2×C31#241711yescharacteristic
386C2×C31#306011yescharacteristic
387C2×C31#306211yescharacteristic
388C2×C31#308111yescharacteristic
389C2×C31#308411yescharacteristic
390C2×C31#325711yescharacteristic
391C2×C31#326011yescharacteristic
392C22×D4—21no—
393C22×D4C23×C3111yescharacteristic
394C23×C4—21no—
395C23×C4C23×C3111yescharacteristic
396C2×M16—22no—
397C2×M16—22no—
398C2×M16—41no—
399C22×C8—22no—
400C22×C8—22no—
401C22×C8—41no—
402C22×C8C23×C3111yescharacteristic
403C22×C8C23×C3111yescharacteristic
404C22×C8C23×C3111yescharacteristic
405C22×C8C23×C3111yescharacteristic
406#125—22no—
407#125—22no—
408#121—22no—
409#121Q8×C3114yes—
410C4×D4—22no—
411C4×D4—22no—
412#117—22no—
413#117—22no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4D4×C3111yescharacteristic
422C2×C4⋊C4D4×C3111yescharacteristic
423C2×C4⋊C4C23×C3111yescharacteristic
424C2×C4⋊C4C23×C3111yescharacteristic
425C2×C4⋊C4C23×C3111yescharacteristic
426C2×C4⋊C4C23×C3111yescharacteristic
427C2×C4⋊C4C23×C3111yescharacteristic
428C2×C4⋊C4C23×C3111yescharacteristic
429C2×C4⋊C4C23×C3111yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4D4×C3111yescharacteristic
438C2×C22⋊C4D4×C3111yescharacteristic
439C2×C42—21no—
440C2×C42C23×C3111yescharacteristic
441C2×C42C23×C3111yescharacteristic
442#107—22no—
443#106—22no—
444#106—41no—
445#106—41no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448C4⋊C8—22no—
449C4⋊C8D4×C3114yescomplemented
450#102—22no—
451#102—22no—
452#102—41no—
453#102—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461C31#2485211yescharacteristic, direct product factor, Sylow
462C24—21no—
463C24C2×D4×C3111yescharacteristic
464C2×D4—24no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—81no—
471C2×D4—81no—
472C2×D4C2×Q8×C3112yes—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
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×Q8×C3112yes—
493C22×C4#41×C3112yes—
494C22×C4C24×C3111yescharacteristic
495M16—44no—
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×C8—21no—
506C2×C8—44no—
507C2×C8C2×D4×C3112yes—
508C2×C8C2×D4×C3112yes—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4C2×Q8×C3112yes—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—24no—
535C22⋊C4—42no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—21no—
542C42—21no—
543C42—81no—
544C42C2×D4×C3112yes—
545C42#41×C3112yes—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C31×C22⋊Q812yes—
560C23C22×D4×C3111yescharacteristic
561D4—22no—
562D4—22no—
563D4—41no—
564D4—41no—
565D4—84no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
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—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—84no—
604C2×C4C31×#12112yes—
605C2×C4C31×#12112yes—
606C2×C4C31×C22⋊Q812yes—
607C2×C4C22×D4×C3111yescharacteristic
608C2×C4C22×Q8×C3111yescharacteristic
609C2×C4C2×#41×C3111yescharacteristic
610C2×C4C2×#41×C3111yescharacteristic
611C2×C4C31×H(5,𝔽2)11yescharacteristic
612C2×C4C31×2−1+411yescharacteristic
613C8—22no—
614C8—22no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×C31×#12111yescharacteristic
632C22C2×C31×C22⋊Q811yescharacteristic
633C22C31×#53711yescharacteristic
634C22C31×#57611yescharacteristic
635C22C31×#57711yescharacteristic
636C22C31×#57711yescharacteristic
637C22C31×#57711yescharacteristic
638C4—22no—
639C4—22no—
640C4—22no—
641C4—42no—
642C4—41no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C31×#54611yescharacteristic
651C4D4×Q8×C3111yescharacteristic
652C4C31×#55211yescharacteristic
653C4C31×#55411yescharacteristic
654C2—42no—
655C2—82no—
656C2C31×#241711yescharacteristic
657C2C31×#306011yescharacteristic
658C2C31×#306211yescharacteristic
659C2C31×#308111yescharacteristic
660C2C31×#308411yescharacteristic
661C2C31×#325711yescharacteristic
662C2C31×#326011yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C31×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#478C2semidirect
2. C2×C31×#424C2semidirect
3. C31×#2629C2semidirect
5. C31×#2088C2semidirect
6. C31×#2086C2semidirect
7. C31×#2065C2semidirect
8. C31×#2065C2semidirect
9. C31×#1989C2semidirect
10. C31×#1948C2semidirect
13. C31×#1809C2semidirect
14. C31×#1807C2semidirect
15. C31×#1802C2semidirect
118. C31×C4⋊C8D4semidirect
214. #24852C31direct (N × H)
286. C2×#478C2×C31semidirect
287. C2×#424C2×C31semidirect
288. #2629C2×C31semidirect
290. #2088C2×C31semidirect
291. #2086C2×C31semidirect
292. #2065C2×C31semidirect
293. #2065C2×C31semidirect
294. #1989C2×C31semidirect
295. #1948C2×C31semidirect
298. #1809C2×C31semidirect
299. #1807C2×C31semidirect
300. #1802C2×C31semidirect
449. C4⋊C8D4×C31semidirect
461. C31#24852direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4782
C2×C31×#4242
C31×#26292
C31×#23242
C31×#20882
C31×#20862
C31×#20652
C31×#19892
C31×#19482
C31×#18952
C31×#18932
C31×#18092
C31×#18072
C31×#18022
#2485231