Finite Group Databasebeta

← C31×#29342 #21486101

Subgroups — C31×#29342 #21486101

Order 7936.

772 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2620C211yesmaximal, characteristic
2C31×#2316C211yesmaximal, characteristic, complemented
3C31×#2100C211yesmaximal, characteristic, complemented
4C31×#2099C211yesmaximal, characteristic, complemented
5C31×#2042C211yesmaximal, characteristic, complemented
6C31×#2042C211yesmaximal, characteristic, complemented
7C31×#1936C211yesmaximal, characteristic, complemented
8C31×#1935C211yesmaximal, characteristic, complemented
9C31×#1934C211yesmaximal, characteristic, complemented
10C31×#1933C211yesmaximal, characteristic, complemented
11C31×#1875C211yesmaximal, characteristic
12C31×#1874C211yesmaximal, characteristic
13C31×#1873C211yesmaximal, characteristic, complemented
14C31×#1872C211yesmaximal, characteristic, complemented
15C31×#1750C211yesmaximal, characteristic, complemented
16C2×C31×#124C2211yescharacteristic
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C31×#121C2211yescharacteristic
19C2×C31×#117C2211yescharacteristic
20C2×C31×#117C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C2×C31×#103C2211yescharacteristic
23C2×C31×#103C2211yescharacteristic
24C2×C31×#103C2211yescharacteristic
25C2×C31×#103C2211yescharacteristic
26C2×C31×#102C2211yescharacteristic
27C2×C31×#102C2211yescharacteristic
28C2×C31×#102C2211yescharacteristic
29C2×C31×#102C2211yescharacteristic
30C2×C31×C22⋊C8C2211yescharacteristic
31C2×C31×C22⋊C8C2211yescharacteristic
32C2×C31×#97C2211yescharacteristic
33C2×C4×C8×C31C2211yescharacteristic
34C31×#396—21no—
35C31×#396—21no—
36C31×#394—21no—
37C31×#394—21no—
38C31×#391C2211yescharacteristic
39C31×#390C2211yescharacteristic
40C31×#389—21no—
41C31×#389—21no—
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#389C2211yescharacteristic
46C31×#384C2211yescharacteristic
47C31×#380—21no—
48C31×#380—21no—
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×C31—21no—
61C22×D4×C31C2311yescharacteristic
62C23×C4×C31—21no—
63C23×C4×C31C2311yescharacteristic
64C22×C8×C31C2311yescharacteristic
65C22×C8×C31C2311yescharacteristic
66C22×C8×C31C2311yescharacteristic
67C22×C8×C31C2311yescharacteristic
68C31×#124—41no—
69C31×#124—41no—
70C31×C22⋊Q8—22no—
71C31×C22⋊Q8—22no—
72C31×#121—22no—
73C31×#121—22no—
74C31×#117—41no—
75C31×#117—41no—
76C31×#117—41no—
77C31×#117—41no—
78C2×C4⋊C4×C31—21no—
79C2×C4⋊C4×C31—22no—
80C2×C4⋊C4×C31—22no—
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—21no—
88C2×C4⋊C4×C31D411yescharacteristic
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×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×C31—21no—
103C2×C22⋊C4×C31D411yescharacteristic
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C42×C31—21no—
106C2×C42×C31C2311yescharacteristic
107C2×C42×C31C2311yescharacteristic
108C31×#103—22no—
109C31×#103—22no—
110C31×#103—41no—
111C31×#103—41no—
112C31×#102—22no—
113C31×#102—22no—
114C31×#102—41no—
115C31×#102—41no—
116C31×C22⋊C8—22no—
117C31×C22⋊C8—22no—
118C31×#97—41no—
119C4×C8×C31—41no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C24×C31—21no—
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—21no—
135C2×D4×C31—21no—
136C2×D4×C31—21no—
137C2×D4×C31—21no—
138C2×D4×C31—21no—
139C2×D4×C31—21no—
140C2×D4×C31—42no—
141C2×D4×C31—81no—
142C2×D4×C31—81no—
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—24no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—81no—
156C22×C4×C31—81no—
157C22×C4×C31C2×D411yescharacteristic
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—
177C4⋊C4×C31—24no—
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—41no—
189C4⋊C4×C31—41no—
190C4⋊C4×C31—42no—
191C4⋊C4×C31—81no—
192C4⋊C4×C31—81no—
193C4⋊C4×C31—81no—
194C4⋊C4×C31—81no—
195C4⋊C4×C31—81no—
196C4⋊C4×C31—81no—
197C4⋊C4×C31#4112yes—
198C4⋊C4×C31#4112yes—
199C22⋊C4×C31—41no—
200C22⋊C4×C31—41no—
201C22⋊C4×C31—42no—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—42no—
205C22⋊C4×C31—42no—
206C22⋊C4×C31—81no—
207C22⋊C4×C31—81no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—42no—
213#29342C3111yesmaximal, characteristic, direct product factor, Sylow
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31#12412yes—
228C23×C31C22×D411yescharacteristic
229Q8×C31—41no—
230Q8×C31—41no—
231Q8×C31—41no—
232Q8×C31—41no—
233D4×C31—41no—
234D4×C31—41no—
235D4×C31—41no—
236D4×C31—41no—
237D4×C31—84no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—21no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
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—41no—
276C2×C4×C31—41no—
277C2×C4×C31—84no—
278C2×C4×C31#12412yes—
279C2×C4×C31C2×#4111yescharacteristic
280C2×C4×C31C2×#4111yescharacteristic
281C2×C4×C31C2×#4111yescharacteristic
282C2×C4×C31C2×#4111yescharacteristic
283C2×C4×C31H(5,𝔽2)11yescharacteristic
284C2×C4×C31H(5,𝔽2)11yescharacteristic
285C8×C31—41no—
286C8×C31—41no—
287C8×C31—41no—
288C8×C31—41no—
289#2620C2×C3111yescharacteristic
290#2316C2×C3111yescharacteristic, complemented
291#2100C2×C3111yescharacteristic, complemented
292#2099C2×C3111yescharacteristic, complemented
293#2042C2×C3111yescharacteristic, complemented
294#2042C2×C3111yescharacteristic, complemented
295#1936C2×C3111yescharacteristic, complemented
296#1935C2×C3111yescharacteristic, complemented
297#1934C2×C3111yescharacteristic, complemented
298#1933C2×C3111yescharacteristic, complemented
299#1875C2×C3111yescharacteristic
300#1874C2×C3111yescharacteristic
301#1873C2×C3111yescharacteristic, complemented
302#1872C2×C3111yescharacteristic, complemented
303#1750C2×C3111yescharacteristic, complemented
304C22×C31—22no—
305C22×C31—22no—
306C22×C31—22no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31—41no—
310C22×C31—41no—
311C22×C31—81no—
312C22×C31—81no—
313C22×C31—81no—
314C22×C31—81no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31#52511yescharacteristic
319C22×C31C2×#12411yescharacteristic
320C22×C31#53411yescharacteristic
321C22×C31#57611yescharacteristic
322C22×C31#57711yescharacteristic
323C22×C31#57711yescharacteristic
324C22×C31#57811yescharacteristic
325C4×C31—22no—
326C4×C31—42no—
327C4×C31—42no—
328C4×C31—41no—
329C4×C31—41no—
330C4×C31—41no—
331C4×C31—41no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31—81no—
337C4×C31#55311yescharacteristic
338C4×C31#55311yescharacteristic
339C4×C31#55311yescharacteristic
340C4×C31#55311yescharacteristic
341C2×#124C22×C3111yescharacteristic
342C2×C22⋊Q8C22×C3111yescharacteristic
343C2×#121C22×C3111yescharacteristic
344C2×#117C22×C3111yescharacteristic
345C2×#117C22×C3111yescharacteristic
346C22×C4⋊C4C22×C3111yescharacteristic
347C2×#103C22×C3111yescharacteristic
348C2×#103C22×C3111yescharacteristic
349C2×#103C22×C3111yescharacteristic
350C2×#103C22×C3111yescharacteristic
351C2×#102C22×C3111yescharacteristic
352C2×#102C22×C3111yescharacteristic
353C2×#102C22×C3111yescharacteristic
354C2×#102C22×C3111yescharacteristic
355C2×C22⋊C8C22×C3111yescharacteristic
356C2×C22⋊C8C22×C3111yescharacteristic
357C2×#97C22×C3111yescharacteristic
358C2×C4×C8C22×C3111yescharacteristic
359#396—21no—
360#396—21no—
361#394—21no—
362#394—21no—
363#391C22×C3111yescharacteristic
364#390C22×C3111yescharacteristic
365#389—21no—
366#389—21no—
367#389C22×C3111yescharacteristic
368#389C22×C3111yescharacteristic
369#389C22×C3111yescharacteristic
370#389C22×C3111yescharacteristic
371#384C22×C3111yescharacteristic
372#380—21no—
373#380—21no—
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#340C22×C3111yescharacteristic
382#336C22×C3111yescharacteristic
383#336C22×C3111yescharacteristic
384C2×C31—42no—
385C2×C31—161no—
386C2×C31#259111yescharacteristic
387C2×C31#311811yescharacteristic
388C2×C31#312111yescharacteristic
389C2×C31#313611yescharacteristic
390C2×C31#313711yescharacteristic
391C2×C31#320311yescharacteristic
392C2×C31#320411yescharacteristic
393C22×Q8C23×C3111yescharacteristic
394C22×D4—21no—
395C22×D4C23×C3111yescharacteristic
396C23×C4—21no—
397C23×C4C23×C3111yescharacteristic
398C22×C8C23×C3111yescharacteristic
399C22×C8C23×C3111yescharacteristic
400C22×C8C23×C3111yescharacteristic
401C22×C8C23×C3111yescharacteristic
402#124—41no—
403#124—41no—
404C22⋊Q8—22no—
405C22⋊Q8—22no—
406#121—22no—
407#121—22no—
408#117—41no—
409#117—41no—
410#117—41no—
411#117—41no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—22no—
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⋊C4—21no—
422C2×C4⋊C4D4×C3111yescharacteristic
423C2×C4⋊C4D4×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#103—22no—
443#103—22no—
444#103—41no—
445#103—41no—
446#102—22no—
447#102—22no—
448#102—41no—
449#102—41no—
450C22⋊C8—22no—
451C22⋊C8—22no—
452#97—41no—
453C4×C8—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460C31#2934211yescharacteristic, direct product factor, Sylow
461C24—21no—
462C24C2×D4×C3111yescharacteristic
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—42no—
476C2×D4—81no—
477C2×D4—81no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—81no—
491C22×C4—81no—
492C22×C4C2×D4×C3111yescharacteristic
493C22×C4C2×D4×C3111yescharacteristic
494C22×C4C2×D4×C3111yescharacteristic
495C22×C4C2×D4×C3111yescharacteristic
496C22×C4C2×D4×C3111yescharacteristic
497C22×C4#41×C3112yes—
498C22×C4#41×C3112yes—
499C22×C4C24×C3111yescharacteristic
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—21no—
511C2×C8—21no—
512C4⋊C4—24no—
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—41no—
524C4⋊C4—41no—
525C4⋊C4—42no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4—81no—
529C4⋊C4—81no—
530C4⋊C4—81no—
531C4⋊C4—81no—
532C4⋊C4#41×C3112yes—
533C4⋊C4#41×C3112yes—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—42no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C31×#12412yes—
562C23C22×D4×C3111yescharacteristic
563Q8—41no—
564Q8—41no—
565Q8—41no—
566Q8—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—84no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
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—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—84no—
612C2×C4C31×#12412yes—
613C2×C4C2×#41×C3111yescharacteristic
614C2×C4C2×#41×C3111yescharacteristic
615C2×C4C2×#41×C3111yescharacteristic
616C2×C4C2×#41×C3111yescharacteristic
617C2×C4C31×H(5,𝔽2)11yescharacteristic
618C2×C4C31×H(5,𝔽2)11yescharacteristic
619C8—41no—
620C8—41no—
621C8—41no—
622C8—41no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22C31×#52511yescharacteristic
638C22C2×C31×#12411yescharacteristic
639C22C31×#53411yescharacteristic
640C22C31×#57611yescharacteristic
641C22C31×#57711yescharacteristic
642C22C31×#57711yescharacteristic
643C22C31×#57811yescharacteristic
644C4—22no—
645C4—42no—
646C4—42no—
647C4—41no—
648C4—41no—
649C4—41no—
650C4—41no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4C31×#55311yescharacteristic
657C4C31×#55311yescharacteristic
658C4C31×#55311yescharacteristic
659C4C31×#55311yescharacteristic
660C2—42no—
661C2—161no—
662C2C31×#259111yescharacteristic
663C2C31×#311811yescharacteristic
664C2C31×#312111yescharacteristic
665C2C31×#313611yescharacteristic
666C2C31×#313711yescharacteristic
667C2C31×#320311yescharacteristic
668C2C31×#320411yescharacteristic
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
2. C31×#2316C2semidirect
3. C31×#2100C2semidirect
4. C31×#2099C2semidirect
5. C31×#2042C2semidirect
6. C31×#2042C2semidirect
7. C31×#1936C2semidirect
8. C31×#1935C2semidirect
9. C31×#1934C2semidirect
10. C31×#1933C2semidirect
13. C31×#1873C2semidirect
14. C31×#1872C2semidirect
15. C31×#1750C2semidirect
213. #29342C31direct (N × H)
290. #2316C2×C31semidirect
291. #2100C2×C31semidirect
292. #2099C2×C31semidirect
293. #2042C2×C31semidirect
294. #2042C2×C31semidirect
295. #1936C2×C31semidirect
296. #1935C2×C31semidirect
297. #1934C2×C31semidirect
298. #1933C2×C31semidirect
301. #1873C2×C31semidirect
302. #1872C2×C31semidirect
303. #1750C2×C31semidirect
460. C31#29342direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#26202
C31×#23162
C31×#21002
C31×#20992
C31×#20422
C31×#19362
C31×#19352
C31×#19342
C31×#19332
C31×#18752
C31×#18742
C31×#18732
C31×#18722
C31×#17502
#2934231