Finite Group Databasebeta

← C31×#26363 #21483122

Subgroups — C31×#26363 #21483122

Order 7936.

860 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×#428C211yesmaximal, characteristic, complemented
3C31×#2442C211yesmaximal, characteristic, complemented
4C31×#2363C211yesmaximal, characteristic
5C31×#2092C211yesmaximal, characteristic, complemented
6C31×#2088C211yesmaximal, characteristic, complemented
7C31×#2065C211yesmaximal, characteristic, complemented
8C31×#2059C211yesmaximal, characteristic, complemented
9C31×#1949C211yesmaximal, characteristic, complemented
10C31×#1918C211yesmaximal, characteristic, complemented
11C31×#1895C211yesmaximal, characteristic
12C31×#1874C211yesmaximal, characteristic
13C31×#1862C211yesmaximal, characteristic, complemented
14C31×#1854C211yesmaximal, characteristic, complemented
15C31×#1851C211yesmaximal, characteristic, complemented
16C22×M16×C31C2211yescharacteristic
17C2×C31×#125C2211yescharacteristic
18C2×C31×#121C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C31×#117C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C31×#478—24no—
23C31×#428—24no—
24C2×C31×#107C2211yescharacteristic
25C2×C31×#107C2211yescharacteristic
26C2×C31×#107C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×#106C2211yescharacteristic
30C2×C31×C4⋊C8C2211yescharacteristic
31C2×C31×C4⋊C8C2211yescharacteristic
32C2×C31×#102C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×C22⋊C8C2211yescharacteristic
37C31×#400—21no—
38C31×#398—21no—
39C31×#390—21no—
40C31×#390C2211yescharacteristic
41C31×#389C2211yescharacteristic
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#388—21no—
45C31×#386—21no—
46C31×#385—21no—
47C31×#382C2211yescharacteristic
48C31×#380—21no—
49C31×#380C2211yescharacteristic
50C4×C4⋊C4×C31C2211yescharacteristic
51C4×C22⋊C4×C31—21no—
52C4×C22⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×D4×C31—21no—
62C22×D4×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31—21no—
65C23×C4×C31C2311yescharacteristic
66C2×M16×C31—22no—
67C2×M16×C31—22no—
68C2×M16×C31—22no—
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C31×#125—22no—
74C31×#125—41no—
75C31×#121—22no—
76C31×#121Q814yes—
77C4×D4×C31—22no—
78C4×D4×C31—41no—
79C31×#117—22no—
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—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—41no—
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×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×C31C2311yescharacteristic
107C2×C42×C31C2311yescharacteristic
108C31×#107—22no—
109C31×#107—41no—
110C31×#107D414yescomplemented
111C31×#106—22no—
112C31×#106—22no—
113C31×#106—22no—
114C31×C4⋊C8—22no—
115C31×C4⋊C8—22no—
116C31×#102—22no—
117C31×#102—22no—
118C31×#102—22no—
119C31×#102—41no—
120C31×C22⋊C8—22no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95D411yescharacteristic
129C31×#95D411yescharacteristic
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—42no—
154C22×C4×C31—42no—
155C22×C4×C31—42no—
156C22×C4×C31—81no—
157C22×C4×C31—81no—
158C22×C4×C31C2×D411yescharacteristic
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×Q812yes—
164C22×C4×C31#4112yes—
165C22×C4×C31C2411yescharacteristic
166M16×C31—28no—
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×C31C2×D412yes—
178C2×C8×C31#4112yes—
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—42no—
191C4⋊C4×C31—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—81no—
194C4⋊C4×C31—81no—
195C4⋊C4×C31—81no—
196C4⋊C4×C31C2×D412yes—
197C4⋊C4×C31C2×D412yes—
198C4⋊C4×C31C2×Q812yes—
199C22⋊C4×C31—24no—
200C22⋊C4×C31—41no—
201C22⋊C4×C31—41no—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—42no—
205C22⋊C4×C31—42no—
206C22⋊C4×C31—81no—
207C42×C31—21no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—42no—
212C42×C31—81no—
213#26363C3111yesmaximal, 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—22no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31C22⋊Q812yes—
228C23×C31C22×D411yescharacteristic
229D4×C31—22no—
230D4×C31—22no—
231D4×C31—41no—
232D4×C31—41no—
233D4×C31—84no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—22no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—21no—
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—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—84no—
274C2×C4×C31—84no—
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×#428C2×C3111yescharacteristic, complemented
288#2442C2×C3111yescharacteristic, complemented
289#2363C2×C3111yescharacteristic
290#2092C2×C3111yescharacteristic, complemented
291#2088C2×C3111yescharacteristic, complemented
292#2065C2×C3111yescharacteristic, complemented
293#2059C2×C3111yescharacteristic, complemented
294#1949C2×C3111yescharacteristic, complemented
295#1918C2×C3111yescharacteristic, complemented
296#1895C2×C3111yescharacteristic
297#1874C2×C3111yescharacteristic
298#1862C2×C3111yescharacteristic, complemented
299#1854C2×C3111yescharacteristic, complemented
300#1851C2×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×C22⋊Q811yescharacteristic
316C22×C31D4211yescharacteristic
317C22×C31#54711yescharacteristic
318C22×C31#57511yescharacteristic
319C22×C31#57511yescharacteristic
320C22×C31#57611yescharacteristic
321C22×C31#57711yescharacteristic
322C4×C31—22no—
323C4×C31—42no—
324C4×C31—41no—
325C4×C31—41no—
326C4×C31—41no—
327C4×C31—41no—
328C4×C31—42no—
329C4×C31—42no—
330C4×C31—81no—
331C4×C31—81no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31#52511yescharacteristic
335C4×C31#53911yescharacteristic
336C4×C31D4×Q811yescharacteristic
337C4×C31#55411yescharacteristic
338C22×M16C22×C3111yescharacteristic
339C2×#125C22×C3111yescharacteristic
340C2×#121C22×C3111yescharacteristic
341C2×C4×D4C22×C3111yescharacteristic
342C2×#117C22×C3111yescharacteristic
343C22×C4⋊C4C22×C3111yescharacteristic
344#478—24no—
345#428—24no—
346C2×#107C22×C3111yescharacteristic
347C2×#107C22×C3111yescharacteristic
348C2×#107C22×C3111yescharacteristic
349C2×#106C22×C3111yescharacteristic
350C2×#106C22×C3111yescharacteristic
351C2×#106C22×C3111yescharacteristic
352C2×C4⋊C8C22×C3111yescharacteristic
353C2×C4⋊C8C22×C3111yescharacteristic
354C2×#102C22×C3111yescharacteristic
355C2×#102C22×C3111yescharacteristic
356C2×#102C22×C3111yescharacteristic
357C2×#102C22×C3111yescharacteristic
358C2×C22⋊C8C22×C3111yescharacteristic
359#400—21no—
360#398—21no—
361#390—21no—
362#390C22×C3111yescharacteristic
363#389C22×C3111yescharacteristic
364#389C22×C3111yescharacteristic
365#389C22×C3111yescharacteristic
366#388—21no—
367#386—21no—
368#385—21no—
369#382C22×C3111yescharacteristic
370#380—21no—
371#380C22×C3111yescharacteristic
372C4×C4⋊C4C22×C3111yescharacteristic
373C4×C22⋊C4—21no—
374C4×C22⋊C4C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#336C22×C3111yescharacteristic
382#336C22×C3111yescharacteristic
383C2×C31—42no—
384C2×C31—82no—
385C2×C31#244911yescharacteristic
386C2×C31#308011yescharacteristic
387C2×C31#308111yescharacteristic
388C2×C31#327111yescharacteristic
389C2×C31#327311yescharacteristic
390C2×C31#334811yescharacteristic
391C2×C31#335511yescharacteristic
392C22×D4—21no—
393C22×D4C23×C3111yescharacteristic
394C23×C4—21no—
395C23×C4—21no—
396C23×C4C23×C3111yescharacteristic
397C2×M16—22no—
398C2×M16—22no—
399C2×M16—22no—
400C22×C8C23×C3111yescharacteristic
401C22×C8C23×C3111yescharacteristic
402C22×C8C23×C3111yescharacteristic
403C22×C8C23×C3111yescharacteristic
404#125—22no—
405#125—41no—
406#121—22no—
407#121Q8×C3114yes—
408C4×D4—22no—
409C4×D4—41no—
410#117—22no—
411#117—41no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—41no—
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⋊C4D4×C3111yescharacteristic
434C2×C22⋊C4D4×C3111yescharacteristic
435C2×C42—21no—
436C2×C42—21no—
437C2×C42C23×C3111yescharacteristic
438C2×C42C23×C3111yescharacteristic
439#107—22no—
440#107—41no—
441#107D4×C3114yescomplemented
442#106—22no—
443#106—22no—
444#106—22no—
445C4⋊C8—22no—
446C4⋊C8—22no—
447#102—22no—
448#102—22no—
449#102—22no—
450#102—41no—
451C22⋊C8—22no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95D4×C3111yescharacteristic
460#95D4×C3111yescharacteristic
461C31#2636311yescharacteristic, 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—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—81no—
489C22×C4—81no—
490C22×C4C2×D4×C3111yescharacteristic
491C22×C4C2×D4×C3111yescharacteristic
492C22×C4C2×D4×C3111yescharacteristic
493C22×C4C2×D4×C3111yescharacteristic
494C22×C4C2×D4×C3111yescharacteristic
495C22×C4C2×Q8×C3112yes—
496C22×C4#41×C3112yes—
497C22×C4C24×C3111yescharacteristic
498M16—28no—
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×C8C2×D4×C3112yes—
510C2×C8#41×C3112yes—
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—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—81no—
526C4⋊C4—81no—
527C4⋊C4—81no—
528C4⋊C4C2×D4×C3112yes—
529C4⋊C4C2×D4×C3112yes—
530C4⋊C4C2×Q8×C3112yes—
531C22⋊C4—24no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—81no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23C31×C22⋊Q812yes—
559C23C22×D4×C3111yescharacteristic
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4—84no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
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—84no—
605C2×C4—84no—
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×C22⋊Q811yescharacteristic
632C22D42×C3111yescharacteristic
633C22C31×#54711yescharacteristic
634C22C31×#57511yescharacteristic
635C22C31×#57511yescharacteristic
636C22C31×#57611yescharacteristic
637C22C31×#57711yescharacteristic
638C4—22no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C31×#52511yescharacteristic
651C4C31×#53911yescharacteristic
652C4D4×Q8×C3111yescharacteristic
653C4C31×#55411yescharacteristic
654C2—42no—
655C2—82no—
656C2C31×#244911yescharacteristic
657C2C31×#308011yescharacteristic
658C2C31×#308111yescharacteristic
659C2C31×#327111yescharacteristic
660C2C31×#327311yescharacteristic
661C2C31×#334811yescharacteristic
662C2C31×#335511yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C22⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#478C2semidirect
2. C2×C31×#428C2semidirect
3. C31×#2442C2semidirect
5. C31×#2092C2semidirect
6. C31×#2088C2semidirect
7. C31×#2065C2semidirect
8. C31×#2059C2semidirect
9. C31×#1949C2semidirect
10. C31×#1918C2semidirect
13. C31×#1862C2semidirect
14. C31×#1854C2semidirect
15. C31×#1851C2semidirect
110. C31×#107D4semidirect
213. #26363C31direct (N × H)
286. C2×#478C2×C31semidirect
287. C2×#428C2×C31semidirect
288. #2442C2×C31semidirect
290. #2092C2×C31semidirect
291. #2088C2×C31semidirect
292. #2065C2×C31semidirect
293. #2059C2×C31semidirect
294. #1949C2×C31semidirect
295. #1918C2×C31semidirect
298. #1862C2×C31semidirect
299. #1854C2×C31semidirect
300. #1851C2×C31semidirect
441. #107D4×C31semidirect
461. C31#26363direct (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×#4282
C31×#24422
C31×#23632
C31×#20922
C31×#20882
C31×#20652
C31×#20592
C31×#19492
C31×#19182
C31×#18952
C31×#18742
C31×#18622
C31×#18542
C31×#18512
#2636331