Finite Group Databasebeta

← C31×#21453 #21478212

Subgroups — C31×#21453 #21478212

Order 7936.

1868 conjugacy classes of subgroups.

The subgroup lattice has 618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D4×C31C211yesmaximal, characteristic
2C2×C31×#450C211yesmaximal, characteristic
3C2×C31×#440C212yesmaximal, complemented
4C4×C31×C22⋊Q8C211yesmaximal, characteristic, complemented
5C31×#1877C212yesmaximal, complemented
6C31×#1872C211yesmaximal, characteristic, complemented
7C31×#1862C212yesmaximal, complemented
8C31×#1852C211yesmaximal, characteristic, complemented
9C31×#1786C211yesmaximal, characteristic
10C31×#1762C212yesmaximal, complemented
11C31×#1749C211yesmaximal, characteristic, complemented
12C23×D4×C31C2211yescharacteristic
13C24×C4×C31—21no—
14C22×SD16×C31C2212yes—
15C2×C31×C22⋊Q8C2211yescharacteristic
16C2×C4×Q8×C31C2211yescharacteristic, complemented
17C2×C4×D4×C31—28no—
18C2×C4×D4×C31—21no—
19C2×C4×D4×C31—21no—
20C2×C4×D4×C31C2212yes—
21C2×C4×D4×C31C2212yes—
22C22×C4⋊C4×C31C2211yescharacteristic
23C22×C22⋊C4×C31—21no—
24C22×C42×C31C2211yescharacteristic
25C31×#450C418yescomplemented
26C31×#440—28no—
27C2×C31×#107C2212yescomplemented
28C2×C31×#103C2212yescomplemented
29C2×C31×#102C2212yes—
30C2×C31×#102C2212yes—
31C2×C31×#102C2212yes—
32C2×C31×C22⋊C8C2211yescharacteristic
33C2×C31×C22⋊C8C2211yescharacteristic
34C2×C31×#97C2212yescomplemented
35C31×#391C2211yescharacteristic, complemented
36C31×#389C2211yescharacteristic, complemented
37C31×#387—21no—
38C31×#385—21no—
39C31×#380C2211yescharacteristic
40C4×C4⋊C4×C31—21no—
41C4×C4⋊C4×C31C2211yescharacteristic, complemented
42C4×C22⋊C4×C31—21no—
43C31×#340C2212yescomplemented
44C31×#340C2212yescomplemented
45C31×#336C2212yescomplemented
46C25×C31—21no—
47C22×Q8×C31C2311yescharacteristic
48C22×D4×C31—24no—
49C22×D4×C31—24no—
50C22×D4×C31—21no—
51C22×D4×C31—22no—
52C22×D4×C31C2×C414yes—
53C22×D4×C31C2312yes—
54C23×C4×C31—28no—
55C23×C4×C31—21no—
56C23×C4×C31—22no—
57C23×C4×C31—22no—
58C23×C4×C31—44no—
59C23×C4×C31—44no—
60C23×C4×C31D411yescharacteristic
61C23×C4×C31D411yescharacteristic
62C23×C4×C31C2311yescharacteristic
63C2×SD16×C31—24no—
64C2×SD16×C31—24no—
65C2×SD16×C31C2×C418yescomplemented
66C22×C8×C31C2312yes—
67C22×C8×C31C2312yes—
68C31×C22⋊Q8—22no—
69C31×C22⋊Q8C2×C414yescomplemented
70C4×Q8×C31—24no—
71C4×D4×C31—28no—
72C4×D4×C31—28no—
73C4×D4×C31—24no—
74C4×D4×C31—24no—
75C4×D4×C31—24no—
76C4×D4×C31D418yes—
77C2×C4⋊C4×C31—21no—
78C2×C4⋊C4×C31—21no—
79C2×C4⋊C4×C31—24no—
80C2×C4⋊C4×C31—21no—
81C2×C4⋊C4×C31—21no—
82C2×C4⋊C4×C31C2311yescharacteristic
83C2×C4⋊C4×C31C2311yescharacteristic
84C2×C4⋊C4×C31C2311yescharacteristic
85C2×C4⋊C4×C31C2312yes—
86C2×C22⋊C4×C31—28no—
87C2×C22⋊C4×C31—21no—
88C2×C22⋊C4×C31—22no—
89C2×C22⋊C4×C31—22no—
90C2×C22⋊C4×C31—21no—
91C2×C42×C31—24no—
92C2×C42×C31—21no—
93C2×C42×C31—21no—
94C2×C42×C31D411yescharacteristic
95C2×C42×C31D411yescharacteristic
96C2×C42×C31C2311yescharacteristic
97C2×C42×C31C2311yescharacteristic
98C31×#107—24no—
99C31×#103—24no—
100C31×#102—24no—
101C31×#102—24no—
102C31×#102C2×C418yescomplemented
103C31×C22⋊C8—22no—
104C31×C22⋊C8C2×C414yescomplemented
105C31×#97—24no—
106C31×#95—21no—
107C31×#95—21no—
108C31×#95—21no—
109C31×#95—21no—
110C31×#95—21no—
111C24×C31—24no—
112C24×C31—24no—
113C24×C31—24no—
114C24×C31—22no—
115C24×C31—42no—
116C24×C31—42no—
117C24×C31—42no—
118C24×C31—42no—
119C24×C31C2×D411yescharacteristic
120C2×Q8×C31—21no—
121C2×Q8×C31—22no—
122C2×Q8×C31—22no—
123C2×Q8×C31C22×C412yescomplemented
124C2×D4×C31—24no—
125C2×D4×C31—24no—
126C2×D4×C31—216no—
127C2×D4×C31—216no—
128C2×D4×C31—24no—
129C2×D4×C31—22no—
130C2×D4×C31—22no—
131C2×D4×C31—22no—
132C2×D4×C31C22×C414yes—
133C2×D4×C31C2×D414yes—
134C2×D4×C31#4114yes—
135C22×C4×C31—22no—
136C22×C4×C31—22no—
137C22×C4×C31—22no—
138C22×C4×C31—22no—
139C22×C4×C31—22no—
140C22×C4×C31—24no—
141C22×C4×C31—28no—
142C22×C4×C31—22no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—28no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—41no—
151C22×C4×C31—432no—
152C22×C4×C31—44no—
153C22×C4×C31—44no—
154C22×C4×C31—44no—
155C22×C4×C31—42no—
156C22×C4×C31—42no—
157C22×C4×C31—44no—
158C22×C4×C31C22×C412yes—
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31#4112yes—
165C22×C4×C31C2411yescharacteristic
166SD16×C31—216no—
167C2×C8×C31—22no—
168C2×C8×C31—22no—
169C2×C8×C31—22no—
170C2×C8×C31—22no—
171C2×C8×C31—22no—
172C2×C8×C31C22×C414yescomplemented
173C4⋊C4×C31—24no—
174C4⋊C4×C31—24no—
175C4⋊C4×C31—22no—
176C4⋊C4×C31—21no—
177C4⋊C4×C31—22no—
178C4⋊C4×C31—22no—
179C4⋊C4×C31—42no—
180C4⋊C4×C31—42no—
181C4⋊C4×C31C22×C412yescomplemented
182C4⋊C4×C31C2×D414yes—
183C22⋊C4×C31—28no—
184C22⋊C4×C31—24no—
185C22⋊C4×C31—28no—
186C22⋊C4×C31—42no—
187C42×C31—22no—
188C42×C31—22no—
189C42×C31—22no—
190C42×C31—42no—
191C42×C31—42no—
192C42×C31C2×D414yes—
193#21453C3111yesmaximal, characteristic, direct product factor, Sylow
194C23×C31—21no—
195C23×C31—21no—
196C23×C31—21no—
197C23×C31—21no—
198C23×C31—216no—
199C23×C31—24no—
200C23×C31—24no—
201C23×C31—24no—
202C23×C31—48no—
203C23×C31—48no—
204C23×C31—48no—
205C23×C31—48no—
206C23×C31—48no—
207C23×C31—42no—
208C23×C31—42no—
209C23×C31—42no—
210C23×C31—42no—
211C23×C31—48no—
212C23×C31C4×D412yes—
213C23×C31AGL(1,ℤ/8)12yes—
214C23×C31#13712yes—
215C23×C31C22×D411yescharacteristic
216Q8×C31—24no—
217Q8×C31—42no—
218D4×C31—216no—
219D4×C31—24no—
220D4×C31—24no—
221D4×C31—24no—
222D4×C31C4×D418yes—
223C2×C4×C31—28no—
224C2×C4×C31—21no—
225C2×C4×C31—21no—
226C2×C4×C31—21no—
227C2×C4×C31—21no—
228C2×C4×C31—21no—
229C2×C4×C31—21no—
230C2×C4×C31—21no—
231C2×C4×C31—21no—
232C2×C4×C31—24no—
233C2×C4×C31—24no—
234C2×C4×C31—22no—
235C2×C4×C31—22no—
236C2×C4×C31—21no—
237C2×C4×C31—24no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—44no—
241C2×C4×C31—416no—
242C2×C4×C31—416no—
243C2×C4×C31—48no—
244C2×C4×C31—41no—
245C2×C4×C31—41no—
246C2×C4×C31—41no—
247C2×C4×C31—42no—
248C2×C4×C31—42no—
249C2×C4×C31—41no—
250C2×C4×C31—41no—
251C2×C4×C31—41no—
252C2×C4×C31—41no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
255C2×C4×C31—41no—
256C2×C4×C31C4×D412yes—
257C2×C4×C31#12012yes—
258C2×C4×C31#12012yes—
259C2×C4×C31AGL(1,ℤ/8)12yes—
260C2×C4×C31C23×C411yescharacteristic
261C2×C4×C31C22×D412yes—
262C2×C4×C31C2×#4112yes—
263C2×C4×C31C2×#4111yescharacteristic
264C8×C31—24no—
265C8×C31—42no—
266C22×C4×D4C2×C3111yescharacteristic
267C2×#450C2×C3111yescharacteristic
268C2×#440C2×C3112yescomplemented
269C4×C22⋊Q8C2×C3111yescharacteristic, complemented
270#1877C2×C3112yescomplemented
271#1872C2×C3111yescharacteristic, complemented
272#1862C2×C3112yescomplemented
273#1852C2×C3111yescharacteristic, complemented
274#1786C2×C3111yescharacteristic
275#1762C2×C3112yescomplemented
276#1749C2×C3111yescharacteristic, complemented
277C22×C31—22no—
278C22×C31—22no—
279C22×C31—22no—
280C22×C31—22no—
281C22×C31—22no—
282C22×C31—22no—
283C22×C31—28no—
284C22×C31—432no—
285C22×C31—44no—
286C22×C31—44no—
287C22×C31—44no—
288C22×C31—44no—
289C22×C31—44no—
290C22×C31—44no—
291C22×C31#44014yescomplemented
292C22×C31C2×C4×D411yescharacteristic
293C22×C31C2×#12011yescharacteristic
294C22×C31#52511yescharacteristic
295C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
296C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
297C22×C31C2×#13711yescharacteristic
298C22×C31#57511yescharacteristic
299C4×C31—22no—
300C4×C31—22no—
301C4×C31—22no—
302C4×C31—22no—
303C4×C31—42no—
304C4×C31—44no—
305C4×C31—41no—
306C4×C31—42no—
307C4×C31—81no—
308C4×C31—81no—
309C4×C31C2×C4×D412yes—
310C4×C31#52512yes—
311C23×D4C22×C3111yescharacteristic
312C24×C4—21no—
313C22×SD16C22×C3112yes—
314C2×C22⋊Q8C22×C3111yescharacteristic
315C2×C4×Q8C22×C3111yescharacteristic, complemented
316C2×C4×D4—28no—
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4C22×C3112yes—
320C2×C4×D4C22×C3112yes—
321C22×C4⋊C4C22×C3111yescharacteristic
322C22×C22⋊C4—21no—
323C22×C42C22×C3111yescharacteristic
324#450C4×C3118yescomplemented
325#440—28no—
326C2×#107C22×C3112yescomplemented
327C2×#103C22×C3112yescomplemented
328C2×#102C22×C3112yes—
329C2×#102C22×C3112yes—
330C2×#102C22×C3112yes—
331C2×C22⋊C8C22×C3111yescharacteristic
332C2×C22⋊C8C22×C3111yescharacteristic
333C2×#97C22×C3112yescomplemented
334#391C22×C3111yescharacteristic, complemented
335#389C22×C3111yescharacteristic, complemented
336#387—21no—
337#385—21no—
338#380C22×C3111yescharacteristic
339C4×C4⋊C4—21no—
340C4×C4⋊C4C22×C3111yescharacteristic, complemented
341C4×C22⋊C4—21no—
342#340C22×C3112yescomplemented
343#340C22×C3112yescomplemented
344#336C22×C3112yescomplemented
345C2×C31—24no—
346C2×C31—48no—
347C2×C31C4×#12011yescharacteristic
348C2×C31C2×#44011yescharacteristic
349C2×C31C4×AGL(1,ℤ/8)11yescharacteristic
350C2×C31#300311yescharacteristic
351C2×C31#300711yescharacteristic
352C2×C31#311011yescharacteristic
353C2×C31#311411yescharacteristic
354C25—21no—
355C22×Q8C23×C3111yescharacteristic
356C22×D4—24no—
357C22×D4—24no—
358C22×D4—21no—
359C22×D4—22no—
360C22×D4C2×C4×C3114yes—
361C22×D4C23×C3112yes—
362C23×C4—28no—
363C23×C4—21no—
364C23×C4—22no—
365C23×C4—22no—
366C23×C4—44no—
367C23×C4—44no—
368C23×C4D4×C3111yescharacteristic
369C23×C4D4×C3111yescharacteristic
370C23×C4C23×C3111yescharacteristic
371C2×SD16—24no—
372C2×SD16—24no—
373C2×SD16C2×C4×C3118yescomplemented
374C22×C8C23×C3112yes—
375C22×C8C23×C3112yes—
376C22⋊Q8—22no—
377C22⋊Q8C2×C4×C3114yescomplemented
378C4×Q8—24no—
379C4×D4—28no—
380C4×D4—28no—
381C4×D4—24no—
382C4×D4—24no—
383C4×D4—24no—
384C4×D4D4×C3118yes—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—24no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4C23×C3111yescharacteristic
391C2×C4⋊C4C23×C3111yescharacteristic
392C2×C4⋊C4C23×C3111yescharacteristic
393C2×C4⋊C4C23×C3112yes—
394C2×C22⋊C4—28no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—21no—
399C2×C42—24no—
400C2×C42—21no—
401C2×C42—21no—
402C2×C42D4×C3111yescharacteristic
403C2×C42D4×C3111yescharacteristic
404C2×C42C23×C3111yescharacteristic
405C2×C42C23×C3111yescharacteristic
406#107—24no—
407#103—24no—
408#102—24no—
409#102—24no—
410#102C2×C4×C3118yescomplemented
411C22⋊C8—22no—
412C22⋊C8C2×C4×C3114yescomplemented
413#97—24no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419C31#2145311yescharacteristic, direct product factor, Sylow
420C24—24no—
421C24—24no—
422C24—24no—
423C24—22no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24C2×D4×C3111yescharacteristic
429C2×Q8—21no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8C22×C4×C3112yescomplemented
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—216no—
436C2×D4—216no—
437C2×D4—24no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4C22×C4×C3114yes—
442C2×D4C2×D4×C3114yes—
443C2×D4#41×C3114yes—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—28no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—28no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—41no—
460C22×C4—432no—
461C22×C4—44no—
462C22×C4—44no—
463C22×C4—44no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—44no—
467C22×C4C22×C4×C3112yes—
468C22×C4C2×D4×C3111yescharacteristic
469C22×C4C2×D4×C3111yescharacteristic
470C22×C4C2×D4×C3111yescharacteristic
471C22×C4C2×D4×C3111yescharacteristic
472C22×C4C2×D4×C3111yescharacteristic
473C22×C4#41×C3112yes—
474C22×C4C24×C3111yescharacteristic
475SD16—216no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8C22×C4×C3114yescomplemented
482C4⋊C4—24no—
483C4⋊C4—24no—
484C4⋊C4—22no—
485C4⋊C4—21no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—42no—
489C4⋊C4—42no—
490C4⋊C4C22×C4×C3112yescomplemented
491C4⋊C4C2×D4×C3114yes—
492C22⋊C4—28no—
493C22⋊C4—24no—
494C22⋊C4—28no—
495C22⋊C4—42no—
496C42—22no—
497C42—22no—
498C42—22no—
499C42—42no—
500C42—42no—
501C42C2×D4×C3114yes—
502C23—21no—
503C23—21no—
504C23—21no—
505C23—21no—
506C23—216no—
507C23—24no—
508C23—24no—
509C23—24no—
510C23—48no—
511C23—48no—
512C23—48no—
513C23—48no—
514C23—48no—
515C23—48no—
516C23—42no—
517C23—42no—
518C23—42no—
519C23—42no—
520C23C4×D4×C3112yes—
521C23C31×AGL(1,ℤ/8)12yes—
522C23C31×#13712yes—
523C23C22×D4×C3111yescharacteristic
524Q8—24no—
525Q8—42no—
526D4—216no—
527D4—24no—
528D4—24no—
529D4—24no—
530D4C4×D4×C3118yes—
531C2×C4—28no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—24no—
541C2×C4—24no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—21no—
545C2×C4—24no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—44no—
549C2×C4—416no—
550C2×C4—416no—
551C2×C4—48no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—42no—
556C2×C4—42no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4C4×D4×C3112yes—
565C2×C4C31×#12012yes—
566C2×C4C31×#12012yes—
567C2×C4C31×AGL(1,ℤ/8)12yes—
568C2×C4C23×C4×C3111yescharacteristic
569C2×C4C22×D4×C3112yes—
570C2×C4C2×#41×C3112yes—
571C2×C4C2×#41×C3111yescharacteristic
572C8—24no—
573C8—42no—
574C22—22no—
575C22—22no—
576C22—22no—
577C22—22no—
578C22—22no—
579C22—22no—
580C22—28no—
581C22—432no—
582C22—44no—
583C22—44no—
584C22—44no—
585C22—44no—
586C22—44no—
587C22—44no—
588C22C31×#44014yescomplemented
589C22C2×C4×D4×C3111yescharacteristic
590C22C2×C31×#12011yescharacteristic
591C22C31×#52511yescharacteristic
592C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
593C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
594C22C2×C31×#13711yescharacteristic
595C22C31×#57511yescharacteristic
596C4—22no—
597C4—22no—
598C4—22no—
599C4—22no—
600C4—42no—
601C4—44no—
602C4—41no—
603C4—42no—
604C4—81no—
605C4—81no—
606C4C2×C4×D4×C3112yes—
607C4C31×#52512yes—
608C2—24no—
609C2—48no—
610C2C4×C31×#12011yescharacteristic
611C2C2×C31×#44011yescharacteristic
612C2C4×C31×AGL(1,ℤ/8)11yescharacteristic
613C2C31×#300311yescharacteristic
614C2C31×#300711yescharacteristic
615C2C31×#311011yescharacteristic
616C2C31×#311411yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
prime radicalC23×D4×C31C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
3. C2×C31×#440C2semidirect
4. C4×C31×C22⋊Q8C2semidirect
5. C31×#1877C2semidirect
6. C31×#1872C2semidirect
7. C31×#1862C2semidirect
8. C31×#1852C2semidirect
10. C31×#1762C2semidirect
11. C31×#1749C2semidirect
16. C2×C4×Q8×C31C22semidirect
25. C31×#450C4semidirect
27. C2×C31×#107C22semidirect
28. C2×C31×#103C22semidirect
34. C2×C31×#97C22semidirect
35. C31×#391C22semidirect
36. C31×#389C22semidirect
41. C4×C4⋊C4×C31C22semidirect
43. C31×#340C22semidirect
44. C31×#340C22semidirect
45. C31×#336C22semidirect
65. C2×SD16×C31C2×C4semidirect
69. C31×C22⋊Q8C2×C4semidirect
102. C31×#102C2×C4semidirect
104. C31×C22⋊C8C2×C4semidirect
123. C2×Q8×C31C22×C4semidirect
172. C2×C8×C31C22×C4semidirect
181. C4⋊C4×C31C22×C4semidirect
193. #21453C31direct (N × H)
268. C2×#440C2×C31semidirect
269. C4×C22⋊Q8C2×C31semidirect
270. #1877C2×C31semidirect
271. #1872C2×C31semidirect
272. #1862C2×C31semidirect
273. #1852C2×C31semidirect
275. #1762C2×C31semidirect
276. #1749C2×C31semidirect
291. C22×C31#440semidirect
315. C2×C4×Q8C22×C31semidirect
324. #450C4×C31semidirect
326. C2×#107C22×C31semidirect
327. C2×#103C22×C31semidirect
333. C2×#97C22×C31semidirect
334. #391C22×C31semidirect
335. #389C22×C31semidirect
340. C4×C4⋊C4C22×C31semidirect
342. #340C22×C31semidirect
343. #340C22×C31semidirect
344. #336C22×C31semidirect
373. C2×SD16C2×C4×C31semidirect
377. C22⋊Q8C2×C4×C31semidirect
410. #102C2×C4×C31semidirect
412. C22⋊C8C2×C4×C31semidirect
419. C31#21453direct (N × H)
432. C2×Q8C22×C4×C31semidirect
481. C2×C8C22×C4×C31semidirect
490. C4⋊C4C22×C4×C31semidirect
588. C22C31×#440semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D4×C312
C2×C31×#4502
C2×C31×#4402
C4×C31×C22⋊Q82
C31×#18772
C31×#18722
C31×#18622
C31×#18522
C31×#17862
C31×#17622
C31×#17492
#2145331