Finite Group Databasebeta

← C31×#26201 #21482960

Subgroups — C31×#26201 #21482960

Order 7936.

794 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2415C211yesmaximal, characteristic
2C31×#2352C211yesmaximal, characteristic
3C31×#2101C211yesmaximal, characteristic, complemented
4C31×#2075C211yesmaximal, characteristic, complemented
5C31×#2074C211yesmaximal, characteristic, complemented
6C31×#2035C211yesmaximal, characteristic, complemented
7C31×#1928C211yesmaximal, characteristic, complemented
8C31×#1920C211yesmaximal, characteristic, complemented
9C31×#1892C211yesmaximal, characteristic, complemented
10C31×#1873C211yesmaximal, characteristic, complemented
11C31×#1872C211yesmaximal, characteristic, complemented
12C31×#1869C211yesmaximal, characteristic
13C31×#1854C211yesmaximal, characteristic, complemented
14C31×#1824C211yesmaximal, characteristic, complemented
15C31×#1735C211yesmaximal, characteristic, complemented
16C23×C8×C31C2211yescharacteristic
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C31×#117C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C2×C31×#107C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×#103C2211yescharacteristic
26C2×C31×#103C2211yescharacteristic
27C2×C31×#103C2211yescharacteristic
28C2×C31×#103C2211yescharacteristic
29C2×C31×C22⋊C8C2211yescharacteristic
30C2×C31×C22⋊C8C2211yescharacteristic
31C2×C31×C22⋊C8C2211yescharacteristic
32C31×#397—21no—
33C31×#394—21no—
34C31×#391C2211yescharacteristic
35C31×#389—21no—
36C31×#389C2211yescharacteristic
37C31×#388—21no—
38C31×#388—21no—
39C31×#387—21no—
40C31×#386—21no—
41C31×#382C2211yescharacteristic
42C31×#380C2211yescharacteristic
43C31×#380C2211yescharacteristic
44C31×#380C2211yescharacteristic
45C4×C4⋊C4×C31C2211yescharacteristic
46C4×C22⋊C4×C31—21no—
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×Q8×C31C2311yescharacteristic
60C22×D4×C31D411yescharacteristic
61C23×C4×C31—21no—
62C23×C4×C31C2311yescharacteristic
63C23×C4×C31C2311yescharacteristic
64C22×C8×C31—22no—
65C22×C8×C31—41no—
66C22×C8×C31—41no—
67C22×C8×C31C2311yescharacteristic
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C31×C22⋊Q8—22no—
72C31×C22⋊Q8—22no—
73C31×C22⋊Q8—22no—
74C31×C22⋊Q8—41no—
75C4×D4×C31—22no—
76C4×D4×C31—22no—
77C31×#117—22no—
78C31×#117—22no—
79C31×#117—41no—
80C31×#117—41no—
81C2×C4⋊C4×C31—22no—
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×C31D411yescharacteristic
88C2×C4⋊C4×C31C2311yescharacteristic
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×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
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×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31C2311yescharacteristic
108C31×#107—41no—
109C31×#106—22no—
110C31×#103—22no—
111C31×#103—41no—
112C31×#103—41no—
113C31×#103—41no—
114C31×C22⋊C8—22no—
115C31×C22⋊C8—41no—
116C31×C22⋊C8—41no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C24×C31C2×D411yescharacteristic
127C24×C31C2×D411yescharacteristic
128C2×Q8×C31—21no—
129C2×Q8×C31—21no—
130C2×Q8×C31—21no—
131C2×Q8×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31—21no—
134C2×D4×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—41no—
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—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—42no—
156C22×C4×C31—42no—
157C22×C4×C31—81no—
158C22×C4×C31C2×D411yescharacteristic
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31#4112yes—
163C22×C4×C31#4112yes—
164C22×C4×C31C2411yescharacteristic
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—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×C31—44no—
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—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31#4112yes—
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—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—42no—
205C22⋊C4×C31—81no—
206C42×C31—21no—
207C42×C31—21no—
208C42×C31—42no—
209C42×C31—42no—
210C42×C31—81no—
211#26201C3111yesmaximal, characteristic, direct product factor, Sylow
212C23×C31—21no—
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31#12312yes—
225C23×C31#13512yes—
226C23×C31C22×D411yescharacteristic
227Q8×C31—41no—
228Q8×C31—41no—
229Q8×C31—41no—
230Q8×C31—41no—
231D4×C31—44no—
232C2×C4×C31—21no—
233C2×C4×C31—21no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
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—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—84no—
276C2×C4×C31#12312yes—
277C2×C4×C31C2×#4111yescharacteristic
278C2×C4×C31C2×#4111yescharacteristic
279C2×C4×C31C2×#4111yescharacteristic
280C2×C4×C31C2×#4111yescharacteristic
281C2×C4×C31H(5,𝔽2)11yescharacteristic
282C2×C4×C31H(5,𝔽2)11yescharacteristic
283C8×C31—41no—
284C8×C31—41no—
285C8×C31—41no—
286C8×C31—41no—
287#2415C2×C3111yescharacteristic
288#2352C2×C3111yescharacteristic
289#2101C2×C3111yescharacteristic, complemented
290#2075C2×C3111yescharacteristic, complemented
291#2074C2×C3111yescharacteristic, complemented
292#2035C2×C3111yescharacteristic, complemented
293#1928C2×C3111yescharacteristic, complemented
294#1920C2×C3111yescharacteristic, complemented
295#1892C2×C3111yescharacteristic, complemented
296#1873C2×C3111yescharacteristic, complemented
297#1872C2×C3111yescharacteristic, complemented
298#1869C2×C3111yescharacteristic
299#1854C2×C3111yescharacteristic, complemented
300#1824C2×C3111yescharacteristic, complemented
301#1735C2×C3111yescharacteristic, complemented
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—22no—
305C22×C31—22no—
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—41no—
309C22×C31—41no—
310C22×C31—41no—
311C22×C31—41no—
312C22×C31—41no—
313C22×C31—41no—
314C22×C31—41no—
315C22×C31—41no—
316C22×C31C2×#12311yescharacteristic
317C22×C31#54611yescharacteristic
318C22×C31#54611yescharacteristic
319C22×C31C2×#13511yescharacteristic
320C22×C31#57511yescharacteristic
321C22×C31#57711yescharacteristic
322C22×C31#57811yescharacteristic
323C4×C31—22no—
324C4×C31—41no—
325C4×C31—41no—
326C4×C31—41no—
327C4×C31—42no—
328C4×C31—42no—
329C4×C31—81no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31—81no—
335C4×C31#52911yescharacteristic
336C4×C31#53811yescharacteristic
337C4×C31#55311yescharacteristic
338C4×C31#55311yescharacteristic
339C23×C8C22×C3111yescharacteristic
340C2×C22⋊Q8C22×C3111yescharacteristic
341C2×C22⋊Q8C22×C3111yescharacteristic
342C2×C4×D4C22×C3111yescharacteristic
343C2×#117C22×C3111yescharacteristic
344C2×#117C22×C3111yescharacteristic
345C22×C4⋊C4C22×C3111yescharacteristic
346C2×#107C22×C3111yescharacteristic
347C2×#106C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#103C22×C3111yescharacteristic
350C2×#103C22×C3111yescharacteristic
351C2×#103C22×C3111yescharacteristic
352C2×C22⋊C8C22×C3111yescharacteristic
353C2×C22⋊C8C22×C3111yescharacteristic
354C2×C22⋊C8C22×C3111yescharacteristic
355#397—21no—
356#394—21no—
357#391C22×C3111yescharacteristic
358#389—21no—
359#389C22×C3111yescharacteristic
360#388—21no—
361#388—21no—
362#387—21no—
363#386—21no—
364#382C22×C3111yescharacteristic
365#380C22×C3111yescharacteristic
366#380C22×C3111yescharacteristic
367#380C22×C3111yescharacteristic
368C4×C4⋊C4C22×C3111yescharacteristic
369C4×C22⋊C4—21no—
370#340C22×C3111yescharacteristic
371#340C22×C3111yescharacteristic
372#340C22×C3111yescharacteristic
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#336C22×C3111yescharacteristic
381#336C22×C3111yescharacteristic
382C2×C31—42no—
383C2×C31—42no—
384C2×C31#244411yescharacteristic
385C2×C31#309111yescharacteristic
386C2×C31#309711yescharacteristic
387C2×C31#330011yescharacteristic
388C2×C31#330111yescharacteristic
389C2×C31#331111yescharacteristic
390C2×C31#331511yescharacteristic
391C22×Q8C23×C3111yescharacteristic
392C22×D4D4×C3111yescharacteristic
393C23×C4—21no—
394C23×C4C23×C3111yescharacteristic
395C23×C4C23×C3111yescharacteristic
396C22×C8—22no—
397C22×C8—41no—
398C22×C8—41no—
399C22×C8C23×C3111yescharacteristic
400C22×C8C23×C3111yescharacteristic
401C22×C8C23×C3111yescharacteristic
402C22×C8C23×C3111yescharacteristic
403C22⋊Q8—22no—
404C22⋊Q8—22no—
405C22⋊Q8—22no—
406C22⋊Q8—41no—
407C4×D4—22no—
408C4×D4—22no—
409#117—22no—
410#117—22no—
411#117—41no—
412#117—41no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—41no—
419C2×C4⋊C4D4×C3111yescharacteristic
420C2×C4⋊C4C23×C3111yescharacteristic
421C2×C4⋊C4C23×C3111yescharacteristic
422C2×C4⋊C4C23×C3111yescharacteristic
423C2×C4⋊C4C23×C3111yescharacteristic
424C2×C4⋊C4C23×C3111yescharacteristic
425C2×C4⋊C4C23×C3111yescharacteristic
426C2×C4⋊C4C23×C3111yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4D4×C3111yescharacteristic
435C2×C22⋊C4D4×C3111yescharacteristic
436C2×C42—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C3111yescharacteristic
440#107—41no—
441#106—22no—
442#103—22no—
443#103—41no—
444#103—41no—
445#103—41no—
446C22⋊C8—22no—
447C22⋊C8—41no—
448C22⋊C8—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458C31#2620111yescharacteristic, direct product factor, Sylow
459C24C2×D4×C3111yescharacteristic
460C24C2×D4×C3111yescharacteristic
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—41no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
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—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4C2×D4×C3111yescharacteristic
492C22×C4C2×D4×C3111yescharacteristic
493C22×C4C2×D4×C3111yescharacteristic
494C22×C4C2×D4×C3111yescharacteristic
495C22×C4#41×C3112yes—
496C22×C4#41×C3112yes—
497C22×C4C24×C3111yescharacteristic
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—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—44no—
511C4⋊C4—22no—
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—42no—
527C4⋊C4—42no—
528C4⋊C4#41×C3112yes—
529C4⋊C4#41×C3112yes—
530C22⋊C4—22no—
531C22⋊C4—22no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—42no—
542C42—42no—
543C42—81no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23C31×#12312yes—
557C23C31×#13512yes—
558C23C22×D4×C3111yescharacteristic
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563D4—44no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
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—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×C4C31×#12312yes—
609C2×C4C2×#41×C3111yescharacteristic
610C2×C4C2×#41×C3111yescharacteristic
611C2×C4C2×#41×C3111yescharacteristic
612C2×C4C2×#41×C3111yescharacteristic
613C2×C4C31×H(5,𝔽2)11yescharacteristic
614C2×C4C31×H(5,𝔽2)11yescharacteristic
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—22no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22C2×C31×#12311yescharacteristic
634C22C31×#54611yescharacteristic
635C22C31×#54611yescharacteristic
636C22C2×C31×#13511yescharacteristic
637C22C31×#57511yescharacteristic
638C22C31×#57711yescharacteristic
639C22C31×#57811yescharacteristic
640C4—22no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4C31×#52911yescharacteristic
653C4C31×#53811yescharacteristic
654C4C31×#55311yescharacteristic
655C4C31×#55311yescharacteristic
656C2—42no—
657C2—42no—
658C2C31×#244411yescharacteristic
659C2C31×#309111yescharacteristic
660C2C31×#309711yescharacteristic
661C2C31×#330011yescharacteristic
662C2C31×#330111yescharacteristic
663C2C31×#331111yescharacteristic
664C2C31×#331511yescharacteristic
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×#2101C2semidirect
4. C31×#2075C2semidirect
5. C31×#2074C2semidirect
6. C31×#2035C2semidirect
7. C31×#1928C2semidirect
8. C31×#1920C2semidirect
9. C31×#1892C2semidirect
10. C31×#1873C2semidirect
11. C31×#1872C2semidirect
13. C31×#1854C2semidirect
14. C31×#1824C2semidirect
15. C31×#1735C2semidirect
211. #26201C31direct (N × H)
289. #2101C2×C31semidirect
290. #2075C2×C31semidirect
291. #2074C2×C31semidirect
292. #2035C2×C31semidirect
293. #1928C2×C31semidirect
294. #1920C2×C31semidirect
295. #1892C2×C31semidirect
296. #1873C2×C31semidirect
297. #1872C2×C31semidirect
299. #1854C2×C31semidirect
300. #1824C2×C31semidirect
301. #1735C2×C31semidirect
458. C31#26201direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24152
C31×#23522
C31×#21012
C31×#20752
C31×#20742
C31×#20352
C31×#19282
C31×#19202
C31×#18922
C31×#18732
C31×#18722
C31×#18692
C31×#18542
C31×#18242
C31×#17352
#2620131