Finite Group Databasebeta

← C2×C31×#2031 #21480230

Subgroups — C2×C31×#2031 #21480230

Order 7936.

1234 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
1C2×C31×#533C211yesmaximal, characteristic, complemented
2C2×C31×#421C211yesmaximal, characteristic
3C22×C31×#104C211yesmaximal, characteristic
4C2×C31×#410C211yesmaximal, characteristic
5C31×#2031C218yesmaximal, direct product factor
6C2×C31×#344C211yesmaximal, characteristic, complemented
7C2×C31×#339C211yesmaximal, characteristic, complemented
8C2×C31×H(3,ℤ/4)C211yesmaximal, characteristic, complemented
9C22×#41×C31C2211yescharacteristic
10C22×M16×C31C2211yescharacteristic
11C22×M16×C31C2211yescharacteristic
12C31×#533—22no—
13C31×#533—22no—
14C31×#533—22no—
15C31×#533C2214yescomplemented
16C2×C31×C4⋊Q8—21no—
17C2×C31×#125—21no—
18C2×C31×C22⋊Q8—22no—
19C2×C4×Q8×C31—22no—
20C2×C31×#117C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C2×C31×#117C2211yescharacteristic
23C22×C42×C31C2211yescharacteristic
24C31×#421—22no—
25C31×#421C2214yes—
26C2×C31×#104—21no—
27C2×C31×#104—21no—
28C2×C31×#104—22no—
29C2×C31×#104—22no—
30C2×C31×#104C2214yes—
31C31×#410—22no—
32C31×#410C2214yes—
33C2×C31×#99—22no—
34C31×#344C2214yescomplemented
35C31×#339C2214yescomplemented
36C31×H(3,ℤ/4)C2214yescomplemented
37C2×#41×C31—21no—
38C2×#41×C31—21no—
39C2×#41×C31—21no—
40C2×#41×C31—21no—
41C2×#41×C31—21no—
42C2×#41×C31—21no—
43C2×#41×C31—21no—
44C2×#41×C31—21no—
45C2×#41×C31—21no—
46C2×#41×C31—21no—
47C2×#41×C31Q812yescomplemented
48C2×#41×C31C2312yes—
49C22×Q8×C31—22no—
50C22×Q8×C31Q811yescharacteristic, complemented
51C22×D4×C31—21no—
52C22×D4×C31Q811yescharacteristic, complemented
53C23×C4×C31—21no—
54C23×C4×C31—21no—
55C23×C4×C31C2311yescharacteristic
56C2×M16×C31—21no—
57C2×M16×C31—21no—
58C2×M16×C31—21no—
59C2×M16×C31—21no—
60C2×M16×C31—21no—
61C2×M16×C31—21no—
62C2×M16×C31—21no—
63C2×M16×C31—21no—
64C2×M16×C31—21no—
65C2×M16×C31—21no—
66C2×M16×C31C2312yes—
67C2×M16×C31C2312yes—
68C22×C8×C31—21no—
69C22×C8×C31—21no—
70C31×C4⋊Q8—24no—
71C31×C4⋊Q8—24no—
72C31×#125—24no—
73C31×#125—24no—
74C31×C22⋊Q8—28no—
75C31×C22⋊Q8—28no—
76C4×Q8×C31—28no—
77C4×Q8×C31—28no—
78C31×#117—21no—
79C31×#117—21no—
80C31×#117—21no—
81C31×#117—21no—
82C31×#117—21no—
83C31×#117—21no—
84C31×#117—21no—
85C31×#117D412yes—
86C31×#117D412yes—
87C31×#117C2312yes—
88C31×#117C2312yes—
89C31×#117C2312yes—
90C2×C4⋊C4×C31—24no—
91C2×C4⋊C4×C31—22no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—21no—
95C2×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31D412yes—
98C2×C42×C31—21no—
99C2×C42×C31—21no—
100C2×C42×C31—21no—
101C2×C42×C31—21no—
102C2×C42×C31—21no—
103C2×C42×C31D411yescharacteristic
104C2×C42×C31D411yescharacteristic
105C2×C42×C31D412yes—
106C2×C42×C31D412yes—
107C2×C42×C31C2312yes—
108C31×#104—24no—
109C31×#104—24no—
110C31×#104—28no—
111C31×#99—28no—
112C24×C31—21no—
113C24×C31C2×D411yescharacteristic
114#41×C31—22no—
115#41×C31—22no—
116#41×C31—22no—
117#41×C31—22no—
118#41×C31—22no—
119#41×C31—22no—
120#41×C31—22no—
121#41×C31—22no—
122#41×C31—41no—
123#41×C31—41no—
124#41×C31—41no—
125#41×C31—41no—
126#41×C31—41no—
127#41×C31—41no—
128#41×C31—41no—
129#41×C31—41no—
130C2×Q8×C31—28no—
131C2×Q8×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31—21no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—48no—
137C2×Q8×C31C2×Q812yescomplemented
138C2×D4×C31—22no—
139C2×D4×C31—22no—
140C2×D4×C31—21no—
141C2×D4×C31—21no—
142C2×D4×C31—21no—
143C2×D4×C31—21no—
144C2×D4×C31—21no—
145C2×D4×C31—41no—
146C2×D4×C31—41no—
147C2×D4×C31—41no—
148C2×D4×C31—41no—
149C2×D4×C31C2×Q812yescomplemented
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—22no—
153C22×C4×C31—22no—
154C22×C4×C31—22no—
155C22×C4×C31—21no—
156C22×C4×C31—22no—
157C22×C4×C31—22no—
158C22×C4×C31—22no—
159C22×C4×C31—44no—
160C22×C4×C31—41no—
161C22×C4×C31—41no—
162C22×C4×C31—41no—
163C22×C4×C31—41no—
164C22×C4×C31—41no—
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×Q811yescharacteristic
171C22×C4×C31C2×Q811yescharacteristic
172C22×C4×C31#4111yescharacteristic
173C22×C4×C31#4111yescharacteristic
174C22×C4×C31#4111yescharacteristic
175C22×C4×C31#4111yescharacteristic
176C22×C4×C31#4111yescharacteristic
177C22×C4×C31#4111yescharacteristic
178C22×C4×C31C2411yescharacteristic
179M16×C31—22no—
180M16×C31—22no—
181M16×C31—22no—
182M16×C31—22no—
183M16×C31—41no—
184M16×C31—41no—
185M16×C31—41no—
186M16×C31—41no—
187C2×C8×C31—22no—
188C2×C8×C31—22no—
189C2×C8×C31—41no—
190C2×C8×C31—41no—
191C2×C8×C31—41no—
192C2×C8×C31—41no—
193C4⋊C4×C31—216no—
194C4⋊C4×C31—28no—
195C4⋊C4×C31—22no—
196C4⋊C4×C31—22no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—22no—
199C4⋊C4×C31—22no—
200C4⋊C4×C31—41no—
201C22⋊C4×C31—22no—
202C22⋊C4×C31—22no—
203C22⋊C4×C31—22no—
204C22⋊C4×C31—22no—
205C22⋊C4×C31—41no—
206C22⋊C4×C31C2×D414yes—
207C42×C31—22no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—22no—
211C42×C31—22no—
212C42×C31—22no—
213C42×C31—22no—
214C42×C31—22no—
215C42×C31—41no—
216C42×C31C2×D412yes—
217C42×C31C2×D412yes—
218C42×C31C2×D414yes—
219C2×#2031C3111yesmaximal, characteristic, direct product factor, Sylow
220C23×C31—22no—
221C23×C31—42no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—82no—
225C23×C31#12011yescharacteristic
226C23×C31#12011yescharacteristic
227C23×C31C22⋊Q811yescharacteristic
228C23×C31C22⋊Q811yescharacteristic
229C23×C31#12411yescharacteristic
230C23×C31#12411yescharacteristic
231C23×C31C22×D411yescharacteristic
232Q8×C31—22no—
233Q8×C31—22no—
234Q8×C31—416no—
235Q8×C31—41no—
236Q8×C31—41no—
237D4×C31—22no—
238D4×C31—22no—
239D4×C31—42no—
240D4×C31—42no—
241D4×C31—42no—
242D4×C31—42no—
243D4×C31—41no—
244D4×C31—41no—
245C2×C4×C31—24no—
246C2×C4×C31—22no—
247C2×C4×C31—22no—
248C2×C4×C31—24no—
249C2×C4×C31—24no—
250C2×C4×C31—22no—
251C2×C4×C31—44no—
252C2×C4×C31—44no—
253C2×C4×C31—42no—
254C2×C4×C31—44no—
255C2×C4×C31—44no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—42no—
259C2×C4×C31—42no—
260C2×C4×C31—42no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—82no—
264C2×C4×C31#12011yescharacteristic
265C2×C4×C31#12011yescharacteristic
266C2×C4×C31C22⋊Q811yescharacteristic
267C2×C4×C31C22⋊Q811yescharacteristic
268C2×C4×C31C22⋊Q811yescharacteristic
269C2×C4×C31C22⋊Q811yescharacteristic
270C2×C4×C31C22⋊Q811yescharacteristic
271C2×C4×C31C22⋊Q811yescharacteristic
272C2×C4×C31C22⋊Q811yescharacteristic
273C2×C4×C31C22⋊Q811yescharacteristic
274C2×C4×C31C22⋊Q811yescharacteristic
275C2×C4×C31C22⋊Q811yescharacteristic
276C2×C4×C31#12411yescharacteristic
277C2×C4×C31#12411yescharacteristic
278C2×C4×C31#12411yescharacteristic
279C2×C4×C31#12411yescharacteristic
280C2×C4×C31#12411yescharacteristic
281C2×C4×C31#12411yescharacteristic
282C2×C4×C31#12411yescharacteristic
283C2×C4×C31#12411yescharacteristic
284C2×C4×C31#12411yescharacteristic
285C2×C4×C31#12411yescharacteristic
286C2×C4×C31C22×D411yescharacteristic
287C2×C4×C31C22×D411yescharacteristic
288C2×C4×C31C22×Q811yescharacteristic
289C2×C4×C31C2×#4111yescharacteristic
290C2×C4×C31C2×#4111yescharacteristic
291C2×C4×C31C2×#4111yescharacteristic
292C8×C31—42no—
293C8×C31—42no—
294C2×#533C2×C3111yescharacteristic, complemented
295C2×#421C2×C3111yescharacteristic
296C22×#104C2×C3111yescharacteristic
297C2×#410C2×C3111yescharacteristic
298#2031C2×C3118yesdirect product factor
299C2×#344C2×C3111yescharacteristic, complemented
300C2×#339C2×C3111yescharacteristic, complemented
301C2×H(3,ℤ/4)C2×C3111yescharacteristic, complemented
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—22no—
305C22×C31—41no—
306C22×C31—41no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31—42no—
310C22×C31—82no—
311C22×C31—82no—
312C22×C31—82no—
313C22×C31#39311yescharacteristic
314C22×C31#39311yescharacteristic
315C22×C31#39311yescharacteristic
316C22×C31#39311yescharacteristic
317C22×C31C2×#12011yescharacteristic
318C22×C31C2×C22⋊Q811yescharacteristic
319C22×C31C2×#12411yescharacteristic
320C4×C31—24no—
321C4×C31—42no—
322C4×C31—44no—
323C4×C31—44no—
324C4×C31—42no—
325C4×C31—82no—
326C4×C31#39311yescharacteristic
327C4×C31#39311yescharacteristic
328C4×C31#39311yescharacteristic
329C4×C31#39311yescharacteristic
330C4×C31C2×C22⋊Q811yescharacteristic
331C4×C31C2×C22⋊Q811yescharacteristic
332C4×C31C2×#12411yescharacteristic
333C4×C31C2×#12411yescharacteristic
334C22×#41C22×C3111yescharacteristic
335C22×M16C22×C3111yescharacteristic
336C22×M16C22×C3111yescharacteristic
337#533—22no—
338#533—22no—
339#533—22no—
340#533C22×C3114yescomplemented
341C2×C4⋊Q8—21no—
342C2×#125—21no—
343C2×C22⋊Q8—22no—
344C2×C4×Q8—22no—
345C2×#117C22×C3111yescharacteristic
346C2×#117C22×C3111yescharacteristic
347C2×#117C22×C3111yescharacteristic
348C22×C42C22×C3111yescharacteristic
349#421—22no—
350#421C22×C3114yes—
351C2×#104—21no—
352C2×#104—21no—
353C2×#104—22no—
354C2×#104—22no—
355C2×#104C22×C3114yes—
356#410—22no—
357#410C22×C3114yes—
358C2×#99—22no—
359#344C22×C3114yescomplemented
360#339C22×C3114yescomplemented
361H(3,ℤ/4)C22×C3114yescomplemented
362C2×C31—21no—
363C2×C31—21no—
364C2×C31—21no—
365C2×C31—21no—
366C2×C31—21no—
367C2×C31—21no—
368C2×C31—82no—
369C2×C31#203112yesdirect product factor
370C2×C31C2×#39311yescharacteristic
371C2×#41—21no—
372C2×#41—21no—
373C2×#41—21no—
374C2×#41—21no—
375C2×#41—21no—
376C2×#41—21no—
377C2×#41—21no—
378C2×#41—21no—
379C2×#41—21no—
380C2×#41—21no—
381C2×#41Q8×C3112yescomplemented
382C2×#41C23×C3112yes—
383C22×Q8—22no—
384C22×Q8Q8×C3111yescharacteristic, complemented
385C22×D4—21no—
386C22×D4Q8×C3111yescharacteristic, complemented
387C23×C4—21no—
388C23×C4—21no—
389C23×C4C23×C3111yescharacteristic
390C2×M16—21no—
391C2×M16—21no—
392C2×M16—21no—
393C2×M16—21no—
394C2×M16—21no—
395C2×M16—21no—
396C2×M16—21no—
397C2×M16—21no—
398C2×M16—21no—
399C2×M16—21no—
400C2×M16C23×C3112yes—
401C2×M16C23×C3112yes—
402C22×C8—21no—
403C22×C8—21no—
404C4⋊Q8—24no—
405C4⋊Q8—24no—
406#125—24no—
407#125—24no—
408C22⋊Q8—28no—
409C22⋊Q8—28no—
410C4×Q8—28no—
411C4×Q8—28no—
412#117—21no—
413#117—21no—
414#117—21no—
415#117—21no—
416#117—21no—
417#117—21no—
418#117—21no—
419#117D4×C3112yes—
420#117D4×C3112yes—
421#117C23×C3112yes—
422#117C23×C3112yes—
423#117C23×C3112yes—
424C2×C4⋊C4—24no—
425C2×C4⋊C4—22no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4D4×C3112yes—
432C2×C42—21no—
433C2×C42—21no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42—21no—
437C2×C42D4×C3112yes—
438C2×C42D4×C3111yescharacteristic
439C2×C42D4×C3111yescharacteristic
440C2×C42D4×C3112yes—
441C2×C42C23×C3112yes—
442#104—24no—
443#104—24no—
444#104—28no—
445#99—28no—
446C31C2×#203111yescharacteristic, direct product factor, Sylow
447C24—21no—
448C24C2×D4×C3111yescharacteristic
449#41—22no—
450#41—22no—
451#41—22no—
452#41—22no—
453#41—22no—
454#41—22no—
455#41—22no—
456#41—22no—
457#41—41no—
458#41—41no—
459#41—41no—
460#41—41no—
461#41—41no—
462#41—41no—
463#41—41no—
464#41—41no—
465C2×Q8—28no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—48no—
472C2×Q8C2×Q8×C3112yescomplemented
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4C2×Q8×C3112yescomplemented
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—44no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4C2×D4×C3111yescharacteristic
501C22×C4C2×D4×C3111yescharacteristic
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C2×D4×C3111yescharacteristic
504C22×C4C2×D4×C3111yescharacteristic
505C22×C4C2×Q8×C3111yescharacteristic
506C22×C4C2×Q8×C3111yescharacteristic
507C22×C4#41×C3111yescharacteristic
508C22×C4#41×C3111yescharacteristic
509C22×C4#41×C3111yescharacteristic
510C22×C4#41×C3111yescharacteristic
511C22×C4#41×C3111yescharacteristic
512C22×C4#41×C3111yescharacteristic
513C22×C4C24×C3111yescharacteristic
514M16—22no—
515M16—22no—
516M16—22no—
517M16—22no—
518M16—41no—
519M16—41no—
520M16—41no—
521M16—41no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—41no—
525C2×C8—41no—
526C2×C8—41no—
527C2×C8—41no—
528C4⋊C4—216no—
529C4⋊C4—28no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—41no—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—41no—
541C22⋊C4C2×D4×C3114yes—
542C42—22no—
543C42—21no—
544C42—21no—
545C42—22no—
546C42—22no—
547C42—22no—
548C42—22no—
549C42—22no—
550C42—41no—
551C42C2×D4×C3112yes—
552C42C2×D4×C3112yes—
553C42C2×D4×C3114yes—
554C23—22no—
555C23—42no—
556C23—41no—
557C23—41no—
558C23—82no—
559C23C31×#12011yescharacteristic
560C23C31×#12011yescharacteristic
561C23C31×C22⋊Q811yescharacteristic
562C23C31×C22⋊Q811yescharacteristic
563C23C31×#12411yescharacteristic
564C23C31×#12411yescharacteristic
565C23C22×D4×C3111yescharacteristic
566Q8—22no—
567Q8—22no—
568Q8—416no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—42no—
574D4—42no—
575D4—42no—
576D4—42no—
577D4—41no—
578D4—41no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4—42no—
588C2×C4—44no—
589C2×C4—44no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—82no—
598C2×C4C31×#12011yescharacteristic
599C2×C4C31×#12011yescharacteristic
600C2×C4C31×C22⋊Q811yescharacteristic
601C2×C4C31×C22⋊Q811yescharacteristic
602C2×C4C31×C22⋊Q811yescharacteristic
603C2×C4C31×C22⋊Q811yescharacteristic
604C2×C4C31×C22⋊Q811yescharacteristic
605C2×C4C31×C22⋊Q811yescharacteristic
606C2×C4C31×C22⋊Q811yescharacteristic
607C2×C4C31×C22⋊Q811yescharacteristic
608C2×C4C31×C22⋊Q811yescharacteristic
609C2×C4C31×C22⋊Q811yescharacteristic
610C2×C4C31×#12411yescharacteristic
611C2×C4C31×#12411yescharacteristic
612C2×C4C31×#12411yescharacteristic
613C2×C4C31×#12411yescharacteristic
614C2×C4C31×#12411yescharacteristic
615C2×C4C31×#12411yescharacteristic
616C2×C4C31×#12411yescharacteristic
617C2×C4C31×#12411yescharacteristic
618C2×C4C31×#12411yescharacteristic
619C2×C4C31×#12411yescharacteristic
620C2×C4C22×D4×C3111yescharacteristic
621C2×C4C22×D4×C3111yescharacteristic
622C2×C4C22×Q8×C3111yescharacteristic
623C2×C4C2×#41×C3111yescharacteristic
624C2×C4C2×#41×C3111yescharacteristic
625C2×C4C2×#41×C3111yescharacteristic
626C8—42no—
627C8—42no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—42no—
636C22—82no—
637C22—82no—
638C22—82no—
639C22C31×#39311yescharacteristic
640C22C31×#39311yescharacteristic
641C22C31×#39311yescharacteristic
642C22C31×#39311yescharacteristic
643C22C2×C31×#12011yescharacteristic
644C22C2×C31×C22⋊Q811yescharacteristic
645C22C2×C31×#12411yescharacteristic
646C4—24no—
647C4—42no—
648C4—44no—
649C4—44no—
650C4—42no—
651C4—82no—
652C4C31×#39311yescharacteristic
653C4C31×#39311yescharacteristic
654C4C31×#39311yescharacteristic
655C4C31×#39311yescharacteristic
656C4C2×C31×C22⋊Q811yescharacteristic
657C4C2×C31×C22⋊Q811yescharacteristic
658C4C2×C31×#12411yescharacteristic
659C4C2×C31×#12411yescharacteristic
660C2—21no—
661C2—21no—
662C2—21no—
663C2—21no—
664C2—21no—
665C2—21no—
666C2—82no—
667C2C31×#203112yesdirect product factor
668C2C2×C31×#39311yescharacteristic
subgroupG/H
centerC2×C4×C31#124
commutator, Frattini, cosocleC22×C4C24×C31
socleC22×C31#393
prime radicalC22×#41×C31C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#533C2semidirect
5. C31×#2031C2direct (N × H)
6. C2×C31×#344C2semidirect
7. C2×C31×#339C2semidirect
8. C2×C31×H(3,ℤ/4)C2semidirect
15. C31×#533C22semidirect
34. C31×#344C22semidirect
35. C31×#339C22semidirect
36. C31×H(3,ℤ/4)C22semidirect
47. C2×#41×C31Q8semidirect
50. C22×Q8×C31Q8semidirect
52. C22×D4×C31Q8semidirect
137. C2×Q8×C31C2×Q8semidirect
149. C2×D4×C31C2×Q8semidirect
219. C2×#2031C31direct (N × H)
294. C2×#533C2×C31semidirect
298. #2031C2×C31direct (N × H)
299. C2×#344C2×C31semidirect
300. C2×#339C2×C31semidirect
301. C2×H(3,ℤ/4)C2×C31semidirect
340. #533C22×C31semidirect
359. #344C22×C31semidirect
360. #339C22×C31semidirect
361. H(3,ℤ/4)C22×C31semidirect
369. C2×C31#2031direct (N × H)
381. C2×#41Q8×C31semidirect
384. C22×Q8Q8×C31semidirect
386. C22×D4Q8×C31semidirect
446. C31C2×#2031direct (N × H)
472. C2×Q8C2×Q8×C31semidirect
484. C2×D4C2×Q8×C31semidirect
667. C2C31×#2031direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5332
C2×C31×#4212
C22×C31×#1042
C2×C31×#4102
C31×#20312
C2×C31×#3442
C2×C31×#3392
C2×C31×H(3,ℤ/4)2
C2×#203131