Finite Group Databasebeta

← C4×C31×#386 #21470521

Subgroups — C4×C31×#386 #21470521

Order 7936.

3366 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D4×C31C211yesmaximal, characteristic
2C23×C42×C31C211yesmaximal, characteristic, complemented
3C2×C31×#386C212yesmaximal
4C2×C4×C22⋊C4×C31C211yesmaximal, characteristic, complemented
5C2×C4×C22⋊C4×C31C212yesmaximal, complemented
6C31×#1437C212yesmaximal, complemented
7C31×#1436C212yesmaximal, complemented
8C31×C22⋊#95C212yesmaximal, complemented
9C4×C31×#95C212yesmaximal, complemented
10C23×D4×C31C2211yescharacteristic
11C24×C4×C31C2212yes—
12C24×C4×C31C2211yescharacteristic
13C24×C4×C31C2211yescharacteristic
14C2×C4×D4×C31—24no—
15C2×C4×D4×C31—24no—
16C2×C4×D4×C31C418yescomplemented
17C22×C4⋊C4×C31C2211yescharacteristic
18C22×C22⋊C4×C31C2211yescharacteristic
19C22×C22⋊C4×C31C2211yescharacteristic
20C22×C22⋊C4×C31C2212yes—
21C22×C22⋊C4×C31C2214yes—
22C22×C42×C31—24no—
23C22×C42×C31—28no—
24C22×C42×C31C2212yes—
25C22×C42×C31C2212yes—
26C22×C42×C31C2211yescharacteristic
27C22×C42×C31C2212yes—
28C31×#386C4116yesdirect product factor
29C4×C22⋊C4×C31—24no—
30C4×C22⋊C4×C31—28no—
31C2×C31×#95C2214yes—
32C2×C31×#95C2214yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2214yes—
35C25×C31C2311yescharacteristic
36C25×C31C2311yescharacteristic
37C22×D4×C31—22no—
38C22×D4×C31—22no—
39C22×D4×C31—24no—
40C22×D4×C31C2×C414yes—
41C22×D4×C31C2×C418yes—
42C23×C4×C31—24no—
43C23×C4×C31—24no—
44C23×C4×C31—28no—
45C23×C4×C31—24no—
46C23×C4×C31—28no—
47C23×C4×C31—24no—
48C23×C4×C31—22no—
49C23×C4×C31—22no—
50C23×C4×C31—24no—
51C23×C4×C31—24no—
52C23×C4×C31C2×C414yes—
53C23×C4×C31C2×C414yescomplemented
54C23×C4×C31C2×C418yescomplemented
55C23×C4×C31D414yes—
56C23×C4×C31D414yes—
57C23×C4×C31C2314yes—
58C23×C4×C31C2311yescharacteristic
59C23×C4×C31C2311yescharacteristic
60C23×C4×C31C2311yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C23×C4×C31C2314yes—
63C23×C4×C31C2311yescharacteristic
64C4×D4×C31—232no—
65C2×C4⋊C4×C31—22no—
66C2×C4⋊C4×C31—22no—
67C2×C4⋊C4×C31C2×C414yescomplemented
68C2×C22⋊C4×C31—22no—
69C2×C22⋊C4×C31—22no—
70C2×C22⋊C4×C31—24no—
71C2×C22⋊C4×C31—24no—
72C2×C22⋊C4×C31—22no—
73C2×C22⋊C4×C31—22no—
74C2×C22⋊C4×C31—28no—
75C2×C22⋊C4×C31—28no—
76C2×C22⋊C4×C31C2×C414yes—
77C2×C22⋊C4×C31C2×C414yescomplemented
78C2×C22⋊C4×C31C2×C418yescomplemented
79C2×C22⋊C4×C31C2×C4116yescomplemented
80C2×C42×C31—232no—
81C2×C42×C31—24no—
82C2×C42×C31—28no—
83C2×C42×C31—24no—
84C2×C42×C31—24no—
85C2×C42×C31—22no—
86C2×C42×C31—22no—
87C2×C42×C31—24no—
88C2×C42×C31—24no—
89C2×C42×C31—24no—
90C2×C42×C31C2×C414yescomplemented
91C2×C42×C31D418yescomplemented
92C31×#95—28no—
93C31×#95—24no—
94C31×#95—28no—
95C31×#95C2×C4116yescomplemented
96C24×C31—22no—
97C24×C31—22no—
98C24×C31—24no—
99C24×C31—22no—
100C24×C31—21no—
101C24×C31—21no—
102C24×C31—24no—
103C24×C31—22no—
104C24×C31—22no—
105C24×C31C22×C414yes—
106C24×C31C22×C412yes—
107C24×C31C22×C412yes—
108C24×C31C22×C414yes—
109C24×C31C2×D412yes—
110C24×C31C2×D412yes—
111C24×C31#4114yes—
112C24×C31C2411yescharacteristic
113C2×D4×C31—28no—
114C2×D4×C31—28no—
115C2×D4×C31—216no—
116C2×D4×C31—216no—
117C2×D4×C31C42116yescomplemented
118C22×C4×C31—216no—
119C22×C4×C31—232no—
120C22×C4×C31—216no—
121C22×C4×C31—216no—
122C22×C4×C31—22no—
123C22×C4×C31—24no—
124C22×C4×C31—24no—
125C22×C4×C31—21no—
126C22×C4×C31—21no—
127C22×C4×C31—22no—
128C22×C4×C31—24no—
129C22×C4×C31—24no—
130C22×C4×C31—22no—
131C22×C4×C31—216no—
132C22×C4×C31—232no—
133C22×C4×C31—28no—
134C22×C4×C31—216no—
135C22×C4×C31—28no—
136C22×C4×C31—22no—
137C22×C4×C31—24no—
138C22×C4×C31—24no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—24no—
144C22×C4×C31—24no—
145C22×C4×C31—24no—
146C22×C4×C31—24no—
147C22×C4×C31—24no—
148C22×C4×C31—22no—
149C22×C4×C31—28no—
150C22×C4×C31—216no—
151C22×C4×C31—44no—
152C22×C4×C31—48no—
153C22×C4×C31—44no—
154C22×C4×C31C22⋊C4116yescomplemented
155C22×C4×C31C22×C418yes—
156C22×C4×C31C22×C412yes—
157C22×C4×C31C22×C412yes—
158C22×C4×C31C22×C414yes—
159C22×C4×C31C22×C412yes—
160C22×C4×C31C22×C412yes—
161C22×C4×C31C22×C418yes—
162C22×C4×C31C22×C412yes—
163C22×C4×C31C2×D412yes—
164C22×C4×C31C2×D412yes—
165C22×C4×C31C2×D418yes—
166C22×C4×C31C2×D412yes—
167C22×C4×C31C2×D412yes—
168C22×C4×C31C2×D414yes—
169C22×C4×C31#4118yes—
170C22×C4×C31#4114yes—
171C4⋊C4×C31—28no—
172C22⋊C4×C31—28no—
173C22⋊C4×C31—216no—
174C22⋊C4×C31—28no—
175C22⋊C4×C31—232no—
176C42×C31—216no—
177C42×C31—28no—
178C42×C31—216no—
179C42×C31—48no—
180C4×#386C3111yesmaximal, characteristic, direct product factor, Sylow
181C23×C31—24no—
182C23×C31—28no—
183C23×C31—24no—
184C23×C31—28no—
185C23×C31—22no—
186C23×C31—24no—
187C23×C31—22no—
188C23×C31—24no—
189C23×C31—28no—
190C23×C31—28no—
191C23×C31—24no—
192C23×C31—22no—
193C23×C31—22no—
194C23×C31—28no—
195C23×C31—24no—
196C23×C31—24no—
197C23×C31—24no—
198C23×C31—24no—
199C23×C31—28no—
200C23×C31—41no—
201C23×C31—42no—
202C23×C31—41no—
203C23×C31—44no—
204C23×C31—42no—
205C23×C31—44no—
206C23×C31—42no—
207C23×C31C2×C4214yes—
208C23×C31C2×C4214yescomplemented
209C23×C31C2×C22⋊C414yes—
210C23×C31#11714yes—
211C23×C31C4×D418yes—
212C23×C31C4×D418yes—
213C23×C31C23×C411yescharacteristic
214C23×C31C23×C412yes—
215C23×C31C22×D411yescharacteristic
216C23×C31C22×D411yescharacteristic
217C23×C31C22×D412yes—
218C23×C31C2×#4112yes—
219C23×C31C2×#4112yes—
220C23×C31C2×#4114yes—
221D4×C31—232no—
222C2×C4×C31—264no—
223C2×C4×C31—22no—
224C2×C4×C31—22no—
225C2×C4×C31—24no—
226C2×C4×C31—28no—
227C2×C4×C31—28no—
228C2×C4×C31—24no—
229C2×C4×C31—24no—
230C2×C4×C31—22no—
231C2×C4×C31—28no—
232C2×C4×C31—24no—
233C2×C4×C31—22no—
234C2×C4×C31—28no—
235C2×C4×C31—28no—
236C2×C4×C31—28no—
237C2×C4×C31—232no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—28no—
241C2×C4×C31—28no—
242C2×C4×C31—24no—
243C2×C4×C31—24no—
244C2×C4×C31—28no—
245C2×C4×C31—41no—
246C2×C4×C31—44no—
247C2×C4×C31—42no—
248C2×C4×C31—41no—
249C2×C4×C31—42no—
250C2×C4×C31—44no—
251C2×C4×C31—44no—
252C2×C4×C31—42no—
253C2×C4×C31—44no—
254C2×C4×C31—416no—
255C2×C4×C31C2×C4214yescomplemented
256C2×C4×C31C2×C22⋊C414yes—
257C2×C4×C31C2×C22⋊C414yes—
258C2×C4×C31C4×D418yes—
259C2×C4×C31C4×D4116yescomplemented
260C2×C4×C31#12014yes—
261C2×C4×C31#12118yes—
262C2×C4×C31#12314yes—
263C22×C4×D4C2×C3111yescharacteristic
264C23×C42C2×C3111yescharacteristic, complemented
265C2×#386C2×C3112yes—
266C2×C4×C22⋊C4C2×C3111yescharacteristic, complemented
267C2×C4×C22⋊C4C2×C3112yescomplemented
268#1437C2×C3112yescomplemented
269#1436C2×C3112yescomplemented
270C22⋊#95C2×C3112yescomplemented
271C4×#95C2×C3112yescomplemented
272C22×C31—28no—
273C22×C31—24no—
274C22×C31—28no—
275C22×C31—24no—
276C22×C31—28no—
277C22×C31—216no—
278C22×C31—28no—
279C22×C31—24no—
280C22×C31—28no—
281C22×C31—42no—
282C22×C31—44no—
283C22×C31—42no—
284C22×C31—44no—
285C22×C31—48no—
286C22×C31—44no—
287C22×C31C4×C22⋊C418yescomplemented
288C22×C31C22×C4211yescharacteristic
289C22×C31C22×C22⋊C411yescharacteristic
290C22×C31C2×#11711yescharacteristic
291C22×C31C2×C4×D412yes—
292C22×C31C2×C4×D412yes—
293C22×C31C2×C4×D412yes—
294C22×C31C2×C4×D414yes—
295C22×C31C4×#4112yes—
296C22×C31C4×#4114yes—
297C22×C31C2×#12011yescharacteristic
298C22×C31C2×#12112yes—
299C22×C31C2×#12311yescharacteristic
300C22×C31#52514yes—
301C22×C31#52512yes—
302C22×C31#52914yes—
303C22×C31#53212yes—
304C4×C31—24no—
305C4×C31—24no—
306C4×C31—216no—
307C4×C31—42no—
308C4×C31—42no—
309C4×C31—48no—
310C4×C31#38618yesdirect product factor
311C23×D4C22×C3111yescharacteristic
312C24×C4C22×C3112yes—
313C24×C4C22×C3111yescharacteristic
314C24×C4C22×C3111yescharacteristic
315C2×C4×D4—24no—
316C2×C4×D4—24no—
317C2×C4×D4C4×C3118yescomplemented
318C22×C4⋊C4C22×C3111yescharacteristic
319C22×C22⋊C4C22×C3111yescharacteristic
320C22×C22⋊C4C22×C3111yescharacteristic
321C22×C22⋊C4C22×C3112yes—
322C22×C22⋊C4C22×C3114yes—
323C22×C42—24no—
324C22×C42—28no—
325C22×C42C22×C3112yes—
326C22×C42C22×C3112yes—
327C22×C42C22×C3111yescharacteristic
328C22×C42C22×C3112yes—
329#386C4×C31116yesdirect product factor
330C4×C22⋊C4—24no—
331C4×C22⋊C4—28no—
332C2×#95C22×C3114yes—
333C2×#95C22×C3114yes—
334C2×#95C22×C3112yes—
335C2×#95C22×C3114yes—
336C2×C31—28no—
337C2×C31—44no—
338C2×C31C2×C4×C22⋊C411yescharacteristic
339C2×C31C42×D412yes—
340C2×C31C2×#38611yescharacteristic
341C2×C31#229012yes—
342C2×C31#229711yescharacteristic
343C2×C31C4×#12012yes—
344C2×C31C4×#12114yes—
345C2×C31C4×#12312yes—
346C25C23×C3111yescharacteristic
347C25C23×C3111yescharacteristic
348C22×D4—22no—
349C22×D4—22no—
350C22×D4—24no—
351C22×D4C2×C4×C3114yes—
352C22×D4C2×C4×C3118yes—
353C23×C4—24no—
354C23×C4—24no—
355C23×C4—28no—
356C23×C4—24no—
357C23×C4—28no—
358C23×C4—24no—
359C23×C4—22no—
360C23×C4—22no—
361C23×C4—24no—
362C23×C4—24no—
363C23×C4C2×C4×C3114yes—
364C23×C4C2×C4×C3114yescomplemented
365C23×C4C2×C4×C3118yescomplemented
366C23×C4D4×C3114yes—
367C23×C4D4×C3114yes—
368C23×C4C23×C3114yes—
369C23×C4C23×C3111yescharacteristic
370C23×C4C23×C3111yescharacteristic
371C23×C4C23×C3111yescharacteristic
372C23×C4C23×C3111yescharacteristic
373C23×C4C23×C3114yes—
374C23×C4C23×C3111yescharacteristic
375C4×D4—232no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4C2×C4×C3114yescomplemented
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—28no—
386C2×C22⋊C4—28no—
387C2×C22⋊C4C2×C4×C3114yes—
388C2×C22⋊C4C2×C4×C3114yescomplemented
389C2×C22⋊C4C2×C4×C3118yescomplemented
390C2×C22⋊C4C2×C4×C31116yescomplemented
391C2×C42—232no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—24no—
395C2×C42—28no—
396C2×C42—24no—
397C2×C42—24no—
398C2×C42—24no—
399C2×C42—24no—
400C2×C42—24no—
401C2×C42C2×C4×C3114yescomplemented
402C2×C42D4×C3118yescomplemented
403#95—28no—
404#95—24no—
405#95—28no—
406#95C2×C4×C31116yescomplemented
407C31C4×#38611yescharacteristic, direct product factor, Sylow
408C24—22no—
409C24—22no—
410C24—24no—
411C24—22no—
412C24—21no—
413C24—21no—
414C24—24no—
415C24—22no—
416C24—22no—
417C24C22×C4×C3114yes—
418C24C22×C4×C3112yes—
419C24C22×C4×C3112yes—
420C24C22×C4×C3114yes—
421C24C2×D4×C3112yes—
422C24C2×D4×C3112yes—
423C24#41×C3114yes—
424C24C24×C3111yescharacteristic
425C2×D4—28no—
426C2×D4—28no—
427C2×D4—216no—
428C2×D4—216no—
429C2×D4C42×C31116yescomplemented
430C22×C4—216no—
431C22×C4—232no—
432C22×C4—216no—
433C22×C4—216no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—24no—
441C22×C4—24no—
442C22×C4—22no—
443C22×C4—216no—
444C22×C4—232no—
445C22×C4—28no—
446C22×C4—216no—
447C22×C4—28no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—28no—
462C22×C4—216no—
463C22×C4—44no—
464C22×C4—48no—
465C22×C4—44no—
466C22×C4C22⋊C4×C31116yescomplemented
467C22×C4C22×C4×C3118yes—
468C22×C4C22×C4×C3112yes—
469C22×C4C22×C4×C3112yes—
470C22×C4C22×C4×C3114yes—
471C22×C4C22×C4×C3112yes—
472C22×C4C22×C4×C3112yes—
473C22×C4C22×C4×C3118yes—
474C22×C4C22×C4×C3112yes—
475C22×C4C2×D4×C3112yes—
476C22×C4C2×D4×C3112yes—
477C22×C4C2×D4×C3118yes—
478C22×C4C2×D4×C3112yes—
479C22×C4C2×D4×C3112yes—
480C22×C4C2×D4×C3114yes—
481C22×C4#41×C3118yes—
482C22×C4#41×C3114yes—
483C4⋊C4—28no—
484C22⋊C4—28no—
485C22⋊C4—216no—
486C22⋊C4—28no—
487C22⋊C4—232no—
488C42—216no—
489C42—28no—
490C42—216no—
491C42—48no—
492C23—24no—
493C23—28no—
494C23—24no—
495C23—28no—
496C23—22no—
497C23—24no—
498C23—22no—
499C23—24no—
500C23—28no—
501C23—28no—
502C23—24no—
503C23—22no—
504C23—22no—
505C23—28no—
506C23—24no—
507C23—24no—
508C23—24no—
509C23—24no—
510C23—28no—
511C23—41no—
512C23—42no—
513C23—41no—
514C23—44no—
515C23—42no—
516C23—44no—
517C23—42no—
518C23C2×C42×C3114yes—
519C23C2×C42×C3114yescomplemented
520C23C2×C22⋊C4×C3114yes—
521C23C31×#11714yes—
522C23C4×D4×C3118yes—
523C23C4×D4×C3118yes—
524C23C23×C4×C3111yescharacteristic
525C23C23×C4×C3112yes—
526C23C22×D4×C3111yescharacteristic
527C23C22×D4×C3111yescharacteristic
528C23C22×D4×C3112yes—
529C23C2×#41×C3112yes—
530C23C2×#41×C3112yes—
531C23C2×#41×C3114yes—
532D4—232no—
533C2×C4—264no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—24no—
537C2×C4—28no—
538C2×C4—28no—
539C2×C4—24no—
540C2×C4—24no—
541C2×C4—22no—
542C2×C4—28no—
543C2×C4—24no—
544C2×C4—22no—
545C2×C4—28no—
546C2×C4—28no—
547C2×C4—28no—
548C2×C4—232no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—28no—
552C2×C4—28no—
553C2×C4—24no—
554C2×C4—24no—
555C2×C4—28no—
556C2×C4—41no—
557C2×C4—44no—
558C2×C4—42no—
559C2×C4—41no—
560C2×C4—42no—
561C2×C4—44no—
562C2×C4—44no—
563C2×C4—42no—
564C2×C4—44no—
565C2×C4—416no—
566C2×C4C2×C42×C3114yescomplemented
567C2×C4C2×C22⋊C4×C3114yes—
568C2×C4C2×C22⋊C4×C3114yes—
569C2×C4C4×D4×C3118yes—
570C2×C4C4×D4×C31116yescomplemented
571C2×C4C31×#12014yes—
572C2×C4C31×#12118yes—
573C2×C4C31×#12314yes—
574C22—28no—
575C22—24no—
576C22—28no—
577C22—24no—
578C22—28no—
579C22—216no—
580C22—28no—
581C22—24no—
582C22—28no—
583C22—42no—
584C22—44no—
585C22—42no—
586C22—44no—
587C22—48no—
588C22—44no—
589C22C4×C22⋊C4×C3118yescomplemented
590C22C22×C42×C3111yescharacteristic
591C22C22×C22⋊C4×C3111yescharacteristic
592C22C2×C31×#11711yescharacteristic
593C22C2×C4×D4×C3112yes—
594C22C2×C4×D4×C3112yes—
595C22C2×C4×D4×C3112yes—
596C22C2×C4×D4×C3114yes—
597C22C4×#41×C3112yes—
598C22C4×#41×C3114yes—
599C22C2×C31×#12011yescharacteristic
600C22C2×C31×#12112yes—
601C22C2×C31×#12311yescharacteristic
602C22C31×#52514yes—
603C22C31×#52512yes—
604C22C31×#52914yes—
605C22C31×#53212yes—
606C4—24no—
607C4—24no—
608C4—216no—
609C4—42no—
610C4—42no—
611C4—48no—
612C4C31×#38618yesdirect product factor
613C2—28no—
614C2—44no—
615C2C2×C4×C22⋊C4×C3111yescharacteristic
616C2C42×D4×C3112yes—
617C2C2×C31×#38611yescharacteristic
618C2C31×#229012yes—
619C2C31×#229711yescharacteristic
620C2C4×C31×#12012yes—
621C2C4×C31×#12114yes—
622C2C4×C31×#12312yes—
subgroupG/H
centerC23×C4×C31C23
commutatorC22C22×C42×C31
Frattini, cosocleC24C24×C31
socleC24×C31C24
prime radicalC23×D4×C31C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C23×C42×C31C2semidirect
4. C2×C4×C22⋊C4×C31C2semidirect
5. C2×C4×C22⋊C4×C31C2semidirect
6. C31×#1437C2semidirect
7. C31×#1436C2semidirect
8. C31×C22⋊#95C2semidirect
9. C4×C31×#95C2semidirect
16. C2×C4×D4×C31C4semidirect
28. C31×#386C4direct (N × H)
53. C23×C4×C31C2×C4semidirect
54. C23×C4×C31C2×C4semidirect
67. C2×C4⋊C4×C31C2×C4semidirect
77. C2×C22⋊C4×C31C2×C4semidirect
78. C2×C22⋊C4×C31C2×C4semidirect
79. C2×C22⋊C4×C31C2×C4semidirect
90. C2×C42×C31C2×C4semidirect
91. C2×C42×C31D4semidirect
95. C31×#95C2×C4semidirect
117. C2×D4×C31C42semidirect
154. C22×C4×C31C22⋊C4semidirect
180. C4×#386C31direct (N × H)
208. C23×C31C2×C42semidirect
255. C2×C4×C31C2×C42semidirect
259. C2×C4×C31C4×D4semidirect
264. C23×C42C2×C31semidirect
266. C2×C4×C22⋊C4C2×C31semidirect
267. C2×C4×C22⋊C4C2×C31semidirect
268. #1437C2×C31semidirect
269. #1436C2×C31semidirect
270. C22⋊#95C2×C31semidirect
271. C4×#95C2×C31semidirect
287. C22×C31C4×C22⋊C4semidirect
310. C4×C31#386direct (N × H)
317. C2×C4×D4C4×C31semidirect
329. #386C4×C31direct (N × H)
364. C23×C4C2×C4×C31semidirect
365. C23×C4C2×C4×C31semidirect
378. C2×C4⋊C4C2×C4×C31semidirect
388. C2×C22⋊C4C2×C4×C31semidirect
389. C2×C22⋊C4C2×C4×C31semidirect
390. C2×C22⋊C4C2×C4×C31semidirect
401. C2×C42C2×C4×C31semidirect
402. C2×C42D4×C31semidirect
406. #95C2×C4×C31semidirect
407. C31C4×#386direct (N × H)
429. C2×D4C42×C31semidirect
466. C22×C4C22⋊C4×C31semidirect
519. C23C2×C42×C31semidirect
566. C2×C4C2×C42×C31semidirect
570. C2×C4C4×D4×C31semidirect
589. C22C4×C22⋊C4×C31semidirect
612. C4C31×#386direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D4×C312
C23×C42×C312
C2×C31×#3862
C2×C4×C22⋊C4×C312
C31×#14372
C31×#14362
C31×C22⋊#952
C4×C31×#952
C4×#38631