Finite Group Databasebeta

← C31×#13816 #21470575

Subgroups — C31×#13816 #21470575

Order 7936.

1906 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#388C212yesmaximal
2C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
3C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
4C2×C31×#376C211yesmaximal, characteristic, complemented
5C31×#1437C212yesmaximal
6C31×#1436C212yesmaximal, complemented
7C31×C4⋊#95C211yesmaximal, characteristic, complemented
8C31×#1434C211yesmaximal, characteristic, complemented
9C31×C22⋊#95C211yesmaximal, characteristic
10C4×C31×#95C211yesmaximal, characteristic, complemented
11C4×C31×#95C212yesmaximal, complemented
12C24×C4×C31C2211yescharacteristic
13C22×C4⋊C4×C31C2212yes—
14C22×C22⋊C4×C31C2211yescharacteristic
15C22×C22⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2212yes—
17C22×C22⋊C4×C31C2211yescharacteristic
18C22×C42×C31C2212yes—
19C22×C42×C31C2212yes—
20C22×C42×C31C2211yescharacteristic
21C22×C42×C31C2212yes—
22C22×C42×C31C2211yescharacteristic
23C31×#388C4116yescomplemented
24C4×C22⋊C4×C31—24no—
25C4×C22⋊C4×C31C418yescomplemented
26C31×#376—24no—
27C2×C31×#95C2211yescharacteristic
28C2×C31×#95C2212yes—
29C2×C31×#95C2212yes—
30C2×C31×#95C2211yescharacteristic
31C2×C31×#95C2211yescharacteristic
32C2×C31×#95C2212yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2211yescharacteristic
35C2×C31×#95C2211yescharacteristic
36C2×C31×#95C2212yes—
37C2×C31×#95C2212yes—
38C2×C31×#95C2211yescharacteristic
39C25×C31C2311yescharacteristic
40C23×C4×C31—22no—
41C23×C4×C31—24no—
42C23×C4×C31—22no—
43C23×C4×C31—42no—
44C23×C4×C31C2×C414yes—
45C23×C4×C31C2312yes—
46C23×C4×C31C2312yes—
47C23×C4×C31C2311yescharacteristic
48C23×C4×C31C2312yes—
49C23×C4×C31C2311yescharacteristic
50C23×C4×C31C2311yescharacteristic
51C23×C4×C31C2312yes—
52C23×C4×C31C2311yescharacteristic
53C23×C4×C31C2311yescharacteristic
54C23×C4×C31C2311yescharacteristic
55C2×C4⋊C4×C31—42no—
56C2×C4⋊C4×C31—42no—
57C2×C4⋊C4×C31C2×C418yescomplemented
58C2×C22⋊C4×C31—24no—
59C2×C22⋊C4×C31—22no—
60C2×C22⋊C4×C31—22no—
61C2×C22⋊C4×C31—24no—
62C2×C22⋊C4×C31—42no—
63C2×C22⋊C4×C31—42no—
64C2×C22⋊C4×C31C2×C414yes—
65C2×C22⋊C4×C31C2×C418yes—
66C2×C22⋊C4×C31C2×C418yes—
67C2×C22⋊C4×C31C2×C414yes—
68C2×C22⋊C4×C31C2×C418yes—
69C2×C42×C31—22no—
70C2×C42×C31—24no—
71C2×C42×C31—22no—
72C2×C42×C31—24no—
73C2×C42×C31—24no—
74C2×C42×C31—24no—
75C2×C42×C31—24no—
76C2×C42×C31—24no—
77C2×C42×C31—42no—
78C2×C42×C31—42no—
79C2×C42×C31—42no—
80C2×C42×C31C2×C414yes—
81C2×C42×C31C2×C414yes—
82C2×C42×C31C2×C418yescomplemented
83C31×#95—22no—
84C31×#95—24no—
85C31×#95—22no—
86C31×#95—24no—
87C31×#95—24no—
88C31×#95—22no—
89C31×#95—42no—
90C31×#95C2×C414yes—
91C31×#95C2×C414yes—
92C31×#95C2×C418yescomplemented
93C31×#95C2×C418yescomplemented
94C31×#95D414yes—
95C24×C31—21no—
96C24×C31—21no—
97C24×C31—21no—
98C24×C31—22no—
99C24×C31—22no—
100C24×C31—21no—
101C24×C31—21no—
102C24×C31—22no—
103C24×C31—21no—
104C24×C31C22×C414yes—
105C24×C31C22×C412yes—
106C24×C31C2411yescharacteristic
107C22×C4×C31—21no—
108C22×C4×C31—21no—
109C22×C4×C31—21no—
110C22×C4×C31—22no—
111C22×C4×C31—22no—
112C22×C4×C31—22no—
113C22×C4×C31—22no—
114C22×C4×C31—22no—
115C22×C4×C31—21no—
116C22×C4×C31—22no—
117C22×C4×C31—22no—
118C22×C4×C31—22no—
119C22×C4×C31—22no—
120C22×C4×C31—22no—
121C22×C4×C31—21no—
122C22×C4×C31—21no—
123C22×C4×C31—22no—
124C22×C4×C31—22no—
125C22×C4×C31—21no—
126C22×C4×C31—22no—
127C22×C4×C31—22no—
128C22×C4×C31—22no—
129C22×C4×C31—22no—
130C22×C4×C31—22no—
131C22×C4×C31—22no—
132C22×C4×C31—22no—
133C22×C4×C31—21no—
134C22×C4×C31—22no—
135C22×C4×C31—22no—
136C22×C4×C31—22no—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—22no—
140C22×C4×C31—21no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—21no—
148C22×C4×C31—28no—
149C22×C4×C31—28no—
150C22×C4×C31—44no—
151C22×C4×C31—48no—
152C22×C4×C31—48no—
153C22×C4×C31C22×C412yes—
154C22×C4×C31C22×C414yes—
155C22×C4×C31C22×C414yes—
156C22×C4×C31C22×C414yes—
157C22×C4×C31C22×C412yes—
158C22×C4×C31C22×C412yes—
159C22×C4×C31C22×C414yes—
160C22×C4×C31C22×C414yes—
161C22×C4×C31C22×C412yes—
162C22×C4×C31C22×C412yes—
163C22×C4×C31C22×C414yes—
164C22×C4×C31C22×C412yes—
165C22×C4×C31C2×D412yes—
166C22×C4×C31C2×D414yes—
167C22×C4×C31#4112yes—
168C22×C4×C31#4114yes—
169C22×C4×C31#4112yes—
170C22×C4×C31#4112yes—
171C22×C4×C31#4114yes—
172C4⋊C4×C31—48no—
173C22⋊C4×C31—28no—
174C22⋊C4×C31—216no—
175C22⋊C4×C31—48no—
176C22⋊C4×C31C42116yescomplemented
177C42×C31—28no—
178C42×C31—216no—
179C42×C31—44no—
180C42×C31—48no—
181C42×C31—48no—
182#13816C3111yesmaximal, characteristic, direct product factor, Sylow
183C23×C31—22no—
184C23×C31—22no—
185C23×C31—24no—
186C23×C31—22no—
187C23×C31—24no—
188C23×C31—24no—
189C23×C31—22no—
190C23×C31—24no—
191C23×C31—24no—
192C23×C31—22no—
193C23×C31—22no—
194C23×C31—24no—
195C23×C31—42no—
196C23×C31—41no—
197C23×C31—41no—
198C23×C31—42no—
199C23×C31—42no—
200C23×C31—42no—
201C23×C31—42no—
202C23×C31—42no—
203C23×C31—41no—
204C23×C31—41no—
205C23×C31C2×C4214yes—
206C23×C31C23×C411yescharacteristic
207C23×C31C23×C412yes—
208C23×C31C22×D411yescharacteristic
209C23×C31C2×#4112yes—
210C23×C31C2×#4111yescharacteristic
211C23×C31C2×#4111yescharacteristic
212C23×C31C2×#4111yescharacteristic
213C23×C31C2×#4112yes—
214C23×C31H(5,𝔽2)12yes—
215C23×C31H(5,𝔽2)11yescharacteristic
216C23×C312−1+411yescharacteristic
217C2×C4×C31—22no—
218C2×C4×C31—22no—
219C2×C4×C31—24no—
220C2×C4×C31—22no—
221C2×C4×C31—22no—
222C2×C4×C31—24no—
223C2×C4×C31—22no—
224C2×C4×C31—24no—
225C2×C4×C31—22no—
226C2×C4×C31—22no—
227C2×C4×C31—22no—
228C2×C4×C31—24no—
229C2×C4×C31—22no—
230C2×C4×C31—24no—
231C2×C4×C31—22no—
232C2×C4×C31—24no—
233C2×C4×C31—24no—
234C2×C4×C31—24no—
235C2×C4×C31—24no—
236C2×C4×C31—24no—
237C2×C4×C31—24no—
238C2×C4×C31—24no—
239C2×C4×C31—24no—
240C2×C4×C31—24no—
241C2×C4×C31—24no—
242C2×C4×C31—24no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—24no—
246C2×C4×C31—24no—
247C2×C4×C31—24no—
248C2×C4×C31—24no—
249C2×C4×C31—24no—
250C2×C4×C31—24no—
251C2×C4×C31—24no—
252C2×C4×C31—24no—
253C2×C4×C31—24no—
254C2×C4×C31—22no—
255C2×C4×C31—416no—
256C2×C4×C31—42no—
257C2×C4×C31—42no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—42no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—42no—
265C2×C4×C31—42no—
266C2×C4×C31—41no—
267C2×C4×C31—42no—
268C2×C4×C31—42no—
269C2×C4×C31—42no—
270C2×C4×C31—42no—
271C2×C4×C31—41no—
272C2×C4×C31C2×C4214yes—
273C2×C4×C31C2×C4214yes—
274C2×C4×C31#11714yes—
275C2×C4×C31#11714yes—
276C2×C4×C31C4×D418yes—
277C2×C4×C31C4×D414yes—
278C2×#388C2×C3112yes—
279C2×C4×C22⋊C4C2×C3111yescharacteristic
280C2×C4×C22⋊C4C2×C3111yescharacteristic
281C2×#376C2×C3111yescharacteristic, complemented
282#1437C2×C3112yes—
283#1436C2×C3112yescomplemented
284C4⋊#95C2×C3111yescharacteristic, complemented
285#1434C2×C3111yescharacteristic, complemented
286C22⋊#95C2×C3111yescharacteristic
287C4×#95C2×C3111yescharacteristic, complemented
288C4×#95C2×C3112yescomplemented
289C22×C31—24no—
290C22×C31—24no—
291C22×C31—24no—
292C22×C31—42no—
293C22×C31—42no—
294C22×C31—42no—
295C22×C31—42no—
296C22×C31—44no—
297C22×C31—44no—
298C22×C31—44no—
299C22×C31—44no—
300C22×C31C22×C4211yescharacteristic
301C22×C31C2×#11711yescharacteristic
302C22×C31C2×#11711yescharacteristic
303C22×C31C2×C4×D411yescharacteristic
304C22×C31C2×C4×D412yes—
305C22×C31C4×#4111yescharacteristic
306C22×C31C4×#4112yes—
307C22×C31C4×#4112yes—
308C22×C31C4×#4112yes—
309C22×C31#51811yescharacteristic
310C22×C31#51812yes—
311C22×C31#52011yescharacteristic
312C22×C31#52012yes—
313C22×C31#54612yes—
314C22×C31#54711yescharacteristic
315C22×C31#55011yescharacteristic
316C22×C31#55112yes—
317C22×C31#55112yes—
318C22×C31#55212yes—
319C22×C31#55312yes—
320C22×C31#55512yes—
321C22×C31#55511yescharacteristic
322C22×C31#55611yescharacteristic
323C4×C31—24no—
324C4×C31—24no—
325C4×C31—24no—
326C4×C31—28no—
327C4×C31—24no—
328C4×C31—24no—
329C4×C31—42no—
330C4×C31—44no—
331C4×C31—44no—
332C4×C31—44no—
333C24×C4C22×C3111yescharacteristic
334C22×C4⋊C4C22×C3112yes—
335C22×C22⋊C4C22×C3111yescharacteristic
336C22×C22⋊C4C22×C3112yes—
337C22×C22⋊C4C22×C3112yes—
338C22×C22⋊C4C22×C3111yescharacteristic
339C22×C42C22×C3112yes—
340C22×C42C22×C3112yes—
341C22×C42C22×C3111yescharacteristic
342C22×C42C22×C3112yes—
343C22×C42C22×C3111yescharacteristic
344#388C4×C31116yescomplemented
345C4×C22⋊C4—24no—
346C4×C22⋊C4C4×C3118yescomplemented
347#376—24no—
348C2×#95C22×C3111yescharacteristic
349C2×#95C22×C3112yes—
350C2×#95C22×C3112yes—
351C2×#95C22×C3111yescharacteristic
352C2×#95C22×C3111yescharacteristic
353C2×#95C22×C3112yes—
354C2×#95C22×C3112yes—
355C2×#95C22×C3111yescharacteristic
356C2×#95C22×C3111yescharacteristic
357C2×#95C22×C3112yes—
358C2×#95C22×C3112yes—
359C2×#95C22×C3111yescharacteristic
360C2×C31—44no—
361C2×C31C4×#11711yescharacteristic
362C2×C31C42×D411yescharacteristic
363C2×C31#227511yescharacteristic
364C2×C31#234211yescharacteristic
365C2×C31#234611yescharacteristic
366C2×C31#235311yescharacteristic
367C2×C31#235411yescharacteristic
368C2×C31#235912yes—
369C2×C31#236312yes—
370C2×C31#237212yes—
371C2×C31#237312yes—
372C25C23×C3111yescharacteristic
373C23×C4—22no—
374C23×C4—24no—
375C23×C4—22no—
376C23×C4—42no—
377C23×C4C2×C4×C3114yes—
378C23×C4C23×C3112yes—
379C23×C4C23×C3112yes—
380C23×C4C23×C3111yescharacteristic
381C23×C4C23×C3112yes—
382C23×C4C23×C3111yescharacteristic
383C23×C4C23×C3111yescharacteristic
384C23×C4C23×C3112yes—
385C23×C4C23×C3111yescharacteristic
386C23×C4C23×C3111yescharacteristic
387C23×C4C23×C3111yescharacteristic
388C2×C4⋊C4—42no—
389C2×C4⋊C4—42no—
390C2×C4⋊C4C2×C4×C3118yescomplemented
391C2×C22⋊C4—24no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—24no—
395C2×C22⋊C4—42no—
396C2×C22⋊C4—42no—
397C2×C22⋊C4C2×C4×C3114yes—
398C2×C22⋊C4C2×C4×C3118yes—
399C2×C22⋊C4C2×C4×C3118yes—
400C2×C22⋊C4C2×C4×C3114yes—
401C2×C22⋊C4C2×C4×C3118yes—
402C2×C42—22no—
403C2×C42—24no—
404C2×C42—22no—
405C2×C42—24no—
406C2×C42—24no—
407C2×C42—24no—
408C2×C42—24no—
409C2×C42—24no—
410C2×C42—42no—
411C2×C42—42no—
412C2×C42—42no—
413C2×C42C2×C4×C3114yes—
414C2×C42C2×C4×C3114yes—
415C2×C42C2×C4×C3118yescomplemented
416#95—22no—
417#95—24no—
418#95—22no—
419#95—24no—
420#95—24no—
421#95—22no—
422#95—42no—
423#95C2×C4×C3114yes—
424#95C2×C4×C3114yes—
425#95C2×C4×C3118yescomplemented
426#95C2×C4×C3118yescomplemented
427#95D4×C3114yes—
428C31#1381611yescharacteristic, direct product factor, Sylow
429C24—21no—
430C24—21no—
431C24—21no—
432C24—22no—
433C24—22no—
434C24—21no—
435C24—21no—
436C24—22no—
437C24—21no—
438C24C22×C4×C3114yes—
439C24C22×C4×C3112yes—
440C24C24×C3111yescharacteristic
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—44no—
485C22×C4—48no—
486C22×C4—48no—
487C22×C4C22×C4×C3112yes—
488C22×C4C22×C4×C3114yes—
489C22×C4C22×C4×C3114yes—
490C22×C4C22×C4×C3114yes—
491C22×C4C22×C4×C3112yes—
492C22×C4C22×C4×C3112yes—
493C22×C4C22×C4×C3114yes—
494C22×C4C22×C4×C3114yes—
495C22×C4C22×C4×C3112yes—
496C22×C4C22×C4×C3112yes—
497C22×C4C22×C4×C3114yes—
498C22×C4C22×C4×C3112yes—
499C22×C4C2×D4×C3112yes—
500C22×C4C2×D4×C3114yes—
501C22×C4#41×C3112yes—
502C22×C4#41×C3114yes—
503C22×C4#41×C3112yes—
504C22×C4#41×C3112yes—
505C22×C4#41×C3114yes—
506C4⋊C4—48no—
507C22⋊C4—28no—
508C22⋊C4—216no—
509C22⋊C4—48no—
510C22⋊C4C42×C31116yescomplemented
511C42—28no—
512C42—216no—
513C42—44no—
514C42—48no—
515C42—48no—
516C23—22no—
517C23—22no—
518C23—24no—
519C23—22no—
520C23—24no—
521C23—24no—
522C23—22no—
523C23—24no—
524C23—24no—
525C23—22no—
526C23—22no—
527C23—24no—
528C23—42no—
529C23—41no—
530C23—41no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—41no—
537C23—41no—
538C23C2×C42×C3114yes—
539C23C23×C4×C3111yescharacteristic
540C23C23×C4×C3112yes—
541C23C22×D4×C3111yescharacteristic
542C23C2×#41×C3112yes—
543C23C2×#41×C3111yescharacteristic
544C23C2×#41×C3111yescharacteristic
545C23C2×#41×C3111yescharacteristic
546C23C2×#41×C3112yes—
547C23C31×H(5,𝔽2)12yes—
548C23C31×H(5,𝔽2)11yescharacteristic
549C23C31×2−1+411yescharacteristic
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—24no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—416no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—41no—
605C2×C4C2×C42×C3114yes—
606C2×C4C2×C42×C3114yes—
607C2×C4C31×#11714yes—
608C2×C4C31×#11714yes—
609C2×C4C4×D4×C3118yes—
610C2×C4C4×D4×C3114yes—
611C22—24no—
612C22—24no—
613C22—24no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—44no—
619C22—44no—
620C22—44no—
621C22—44no—
622C22C22×C42×C3111yescharacteristic
623C22C2×C31×#11711yescharacteristic
624C22C2×C31×#11711yescharacteristic
625C22C2×C4×D4×C3111yescharacteristic
626C22C2×C4×D4×C3112yes—
627C22C4×#41×C3111yescharacteristic
628C22C4×#41×C3112yes—
629C22C4×#41×C3112yes—
630C22C4×#41×C3112yes—
631C22C31×#51811yescharacteristic
632C22C31×#51812yes—
633C22C31×#52011yescharacteristic
634C22C31×#52012yes—
635C22C31×#54612yes—
636C22C31×#54711yescharacteristic
637C22C31×#55011yescharacteristic
638C22C31×#55112yes—
639C22C31×#55112yes—
640C22C31×#55212yes—
641C22C31×#55312yes—
642C22C31×#55512yes—
643C22C31×#55511yescharacteristic
644C22C31×#55611yescharacteristic
645C4—24no—
646C4—24no—
647C4—24no—
648C4—28no—
649C4—24no—
650C4—24no—
651C4—42no—
652C4—44no—
653C4—44no—
654C4—44no—
655C2—44no—
656C2C4×C31×#11711yescharacteristic
657C2C42×D4×C3111yescharacteristic
658C2C31×#227511yescharacteristic
659C2C31×#234211yescharacteristic
660C2C31×#234611yescharacteristic
661C2C31×#235311yescharacteristic
662C2C31×#235411yescharacteristic
663C2C31×#235912yes—
664C2C31×#236312yes—
665C2C31×#237212yes—
666C2C31×#237312yes—
subgroupG/H
center, socleC24×C31C24
commutatorC22C22×C42×C31
Frattini, cosocleC24C24×C31
prime radicalC25×C31C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

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

NH ≅ G/Ntype
4. C2×C31×#376C2semidirect
6. C31×#1436C2semidirect
7. C31×C4⋊#95C2semidirect
8. C31×#1434C2semidirect
10. C4×C31×#95C2semidirect
11. C4×C31×#95C2semidirect
23. C31×#388C4semidirect
25. C4×C22⋊C4×C31C4semidirect
57. C2×C4⋊C4×C31C2×C4semidirect
82. C2×C42×C31C2×C4semidirect
92. C31×#95C2×C4semidirect
93. C31×#95C2×C4semidirect
176. C22⋊C4×C31C42semidirect
182. #13816C31direct (N × H)
281. C2×#376C2×C31semidirect
283. #1436C2×C31semidirect
284. C4⋊#95C2×C31semidirect
285. #1434C2×C31semidirect
287. C4×#95C2×C31semidirect
288. C4×#95C2×C31semidirect
344. #388C4×C31semidirect
346. C4×C22⋊C4C4×C31semidirect
390. C2×C4⋊C4C2×C4×C31semidirect
415. C2×C42C2×C4×C31semidirect
425. #95C2×C4×C31semidirect
426. #95C2×C4×C31semidirect
428. C31#13816direct (N × H)
510. C22⋊C4C42×C31semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#3882
C2×C4×C22⋊C4×C312
C2×C31×#3762
C31×#14372
C31×#14362
C31×C4⋊#952
C31×#14342
C31×C22⋊#952
C4×C31×#952
#1381631