Finite Group Databasebeta

← C31×#33572 #21490331

Subgroups — C31×#33572 #21490331

Order 7936.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3551C211yesmaximal, characteristic, complemented
2C31×#3022C211yesmaximal, characteristic, complemented
3C31×#3021C211yesmaximal, characteristic, complemented
4C31×#3018C211yesmaximal, characteristic, complemented
5C31×#2204C214yesmaximal, complemented
6C31×#2203C214yesmaximal, complemented
7C31×#2135C211yesmaximal, characteristic, complemented
8C31×#2134C211yesmaximal, characteristic, complemented
9C31×#2132C211yesmaximal, characteristic, complemented
10C31×#585C2211yescharacteristic
11C31×#575—21no—
12C2×C31×#137—21no—
13C2×C31×AGL(1,ℤ/8)—21no—
14C31×#563C2212yescomplemented
15C31×#560—21no—
16C31×#555C2212yescomplemented
17C31×#553—21no—
18C31×#552—21no—
19C31×#551—21no—
20C31×#548—21no—
21C31×#546—21no—
22C31×#540—22no—
23C31×#538—22no—
24C31×#537—21no—
25C31×#536C2211yescharacteristic
26C31×#535C2211yescharacteristic
27C31×#532C2211yescharacteristic
28C31×#529—21no—
29C31×#456C2212yescomplemented
30C31×#456C2214yescomplemented
31C31×#455—21no—
32C31×#455—22no—
33C31×#454C2214yes—
34C31×#454C2212yescomplemented
35C31×#453—21no—
36C31×#453—22no—
37C31×#421—21no—
38C31×#421—21no—
39C2×C31×#104—21no—
40C31×#413C2211yescharacteristic
41C31×#413C2211yescharacteristic
42C31×#413C2211yescharacteristic
43C31×#356C2212yescomplemented
44C31×#356C2214yescomplemented
45C31×#355C2212yescomplemented
46C31×#355C2214yescomplemented
47C31×2−1+4—41no—
48C31×2−1+4C2312yes—
49C31×H(5,𝔽2)—21no—
50C31×H(5,𝔽2)—21no—
51C31×H(5,𝔽2)—21no—
52C31×H(5,𝔽2)—41no—
53C2×#41×C31—21no—
54C2×#41×C31—21no—
55C2×#41×C31—21no—
56C2×#41×C31—21no—
57C2×#41×C31—42no—
58C2×#41×C31D411yescharacteristic
59C2×#41×C31C2311yescharacteristic
60C22×Q8×C31D411yescharacteristic
61C22×D4×C31D411yescharacteristic
62C31×#137—24no—
63C31×#137—22no—
64C31×#137—41no—
65C31×#137—42no—
66C31×AGL(1,ℤ/8)—24no—
67C31×AGL(1,ℤ/8)—22no—
68C31×AGL(1,ℤ/8)—41no—
69C31×AGL(1,ℤ/8)—42no—
70C31×#135—42no—
71C2×Q16×C31—41no—
72C2×SD16×C31—41no—
73C2×SD16×C31—41no—
74C2×D8×C31—41no—
75C2×M16×C31—21no—
76C2×M16×C31—21no—
77C2×M16×C31—21no—
78C31×C4⋊Q8C2311yescharacteristic
79C31×C4⋊Q8C2312yes—
80C31×#127D411yescharacteristic
81C31×#127D412yes—
82C31×#126—22no—
83C31×#126—22no—
84C31×#126—22no—
85C31×#125—21no—
86C31×#125—22no—
87C31×#124—21no—
88C31×#124—22no—
89C31×#124D411yescharacteristic
90C31×#124D412yes—
91C31×#124C2312yes—
92C31×#124C2311yescharacteristic
93C31×#123—22no—
94C31×#123—22no—
95C31×#123—22no—
96C31×#123—21no—
97C31×#123—21no—
98C31×#123—22no—
99C31×C22⋊Q8—21no—
100C31×C22⋊Q8—22no—
101C31×C22⋊Q8—22no—
102C31×C22⋊Q8—21no—
103C31×C22⋊Q8—21no—
104C31×#121—22no—
105C31×#121—22no—
106C31×#121—21no—
107C31×#121—22no—
108C31×#121—22no—
109C31×#121—21no—
110C31×#121—21no—
111C31×#121—22no—
112C31×#121—22no—
113C31×#121—21no—
114C31×#121—21no—
115C31×#120—22no—
116C31×#120—21no—
117C31×#120—21no—
118C4×Q8×C31—21no—
119C4×D4×C31—22no—
120C4×D4×C31—21no—
121C4×D4×C31—22no—
122C4×D4×C31—21no—
123C4×D4×C31—21no—
124C4×D4×C31—22no—
125C31×#117—22no—
126C31×#117—22no—
127C31×#117D411yescharacteristic
128C31×#117D411yescharacteristic
129C2×C4⋊C4×C31—21no—
130C2×C22⋊C4×C31—22no—
131C2×C42×C31D411yescharacteristic
132C31×#104—22no—
133C31×#104—22no—
134C31×#104—24no—
135C31×#104—24no—
136C31×#101C2312yes—
137C31×#101C2312yes—
138C31×#101C2312yes—
139C31×#100—21no—
140C31×#100—21no—
141C31×#100—21no—
142C24×C31—21no—
143#41×C31—22no—
144#41×C31—22no—
145#41×C31—22no—
146#41×C31—22no—
147#41×C31—22no—
148#41×C31—22no—
149#41×C31—41no—
150#41×C31—41no—
151#41×C31—41no—
152#41×C31—41no—
153#41×C31—41no—
154#41×C31—41no—
155#41×C31—41no—
156#41×C31—42no—
157#41×C31—42no—
158#41×C31—42no—
159#41×C31—42no—
160#41×C31—41no—
161#41×C31—81no—
162#41×C31—81no—
163C2×Q8×C31—21no—
164C2×Q8×C31—21no—
165C2×Q8×C31—21no—
166C2×Q8×C31—21no—
167C2×Q8×C31—41no—
168C2×Q8×C31—41no—
169C2×Q8×C31—42no—
170C2×Q8×C31C2×D411yescharacteristic
171C2×Q8×C31C2×D412yes—
172C2×Q8×C31C2411yescharacteristic
173C2×D4×C31—21no—
174C2×D4×C31—21no—
175C2×D4×C31—21no—
176C2×D4×C31—22no—
177C2×D4×C31—22no—
178C2×D4×C31—21no—
179C2×D4×C31—22no—
180C2×D4×C31—22no—
181C2×D4×C31—21no—
182C2×D4×C31—21no—
183C2×D4×C31—21no—
184C2×D4×C31—41no—
185C2×D4×C31—41no—
186C2×D4×C31—42no—
187C2×D4×C31—42no—
188C2×D4×C31—42no—
189C2×D4×C31—41no—
190C2×D4×C31—41no—
191C2×D4×C31—41no—
192C2×D4×C31C2×D411yescharacteristic
193C2×D4×C31C2×D412yes—
194C2×D4×C31C2×D411yescharacteristic
195C2×D4×C31C2×D411yescharacteristic
196C2×D4×C31C2×D411yescharacteristic
197C22×C4×C31—22no—
198C22×C4×C31—22no—
199C22×C4×C31—22no—
200C22×C4×C31—21no—
201C22×C4×C31—21no—
202C22×C4×C31—21no—
203C22×C4×C31—41no—
204C22×C4×C31—41no—
205C22×C4×C31—41no—
206C22×C4×C31C2×D411yescharacteristic
207C22×C4×C31C2×D411yescharacteristic
208C22×C4×C31C2×D411yescharacteristic
209Q16×C31—44no—
210Q16×C31—42no—
211SD16×C31—44no—
212SD16×C31—42no—
213SD16×C31—44no—
214SD16×C31—42no—
215D8×C31—44no—
216D8×C31—42no—
217M16×C31—22no—
218M16×C31—22no—
219M16×C31—22no—
220M16×C31—41no—
221M16×C31—41no—
222M16×C31—41no—
223C2×C8×C31—41no—
224C2×C8×C31—41no—
225C2×C8×C31—41no—
226C4⋊C4×C31—22no—
227C4⋊C4×C31—22no—
228C4⋊C4×C31—22no—
229C4⋊C4×C31—22no—
230C4⋊C4×C31—22no—
231C4⋊C4×C31—21no—
232C4⋊C4×C31—21no—
233C4⋊C4×C31—22no—
234C4⋊C4×C31—22no—
235C4⋊C4×C31—21no—
236C4⋊C4×C31—21no—
237C22⋊C4×C31—22no—
238C22⋊C4×C31—22no—
239C22⋊C4×C31—22no—
240C22⋊C4×C31—22no—
241C22⋊C4×C31—22no—
242C22⋊C4×C31—21no—
243C22⋊C4×C31—22no—
244C22⋊C4×C31—21no—
245C22⋊C4×C31—21no—
246C22⋊C4×C31—21no—
247C22⋊C4×C31—22no—
248C22⋊C4×C31—21no—
249C22⋊C4×C31—22no—
250C22⋊C4×C31—21no—
251C22⋊C4×C31—22no—
252C42×C31—22no—
253C42×C31—21no—
254C42×C31C2×D411yescharacteristic
255C42×C31C2×D411yescharacteristic
256C42×C31C2×D412yes—
257C42×C31C2×D412yes—
258#33572C3111yesmaximal, characteristic, direct product factor, Sylow
259C23×C31—22no—
260C23×C31—21no—
261C23×C31—41no—
262C23×C31—41no—
263C23×C31—41no—
264C23×C31—81no—
265C23×C31—82no—
266C23×C31#12011yescharacteristic
267C23×C31#12011yescharacteristic
268C23×C31#12011yescharacteristic
269Q8×C31—22no—
270Q8×C31—22no—
271Q8×C31—22no—
272Q8×C31—41no—
273Q8×C31—42no—
274Q8×C31—41no—
275Q8×C31—41no—
276Q8×C31—41no—
277Q8×C31—41no—
278D4×C31—22no—
279D4×C31—22no—
280D4×C31—22no—
281D4×C31—41no—
282D4×C31—41no—
283D4×C31—41no—
284D4×C31—42no—
285D4×C31—41no—
286D4×C31—42no—
287D4×C31—42no—
288D4×C31—42no—
289D4×C31—42no—
290D4×C31—41no—
291D4×C31—41no—
292D4×C31—41no—
293D4×C31—81no—
294D4×C31—82no—
295D4×C31—82no—
296D4×C31—82no—
297D4×C31—81no—
298D4×C31—81no—
299D4×C31—82no—
300C2×C4×C31—21no—
301C2×C4×C31—21no—
302C2×C4×C31—21no—
303C2×C4×C31—21no—
304C2×C4×C31—21no—
305C2×C4×C31—21no—
306C2×C4×C31—21no—
307C2×C4×C31—22no—
308C2×C4×C31—21no—
309C2×C4×C31—22no—
310C2×C4×C31—22no—
311C2×C4×C31—21no—
312C2×C4×C31—42no—
313C2×C4×C31—42no—
314C2×C4×C31—42no—
315C2×C4×C31—41no—
316C2×C4×C31—41no—
317C2×C4×C31—41no—
318C2×C4×C31—41no—
319C2×C4×C31—41no—
320C2×C4×C31—42no—
321C2×C4×C31—81no—
322C2×C4×C31—82no—
323C2×C4×C31—81no—
324C2×C4×C31—82no—
325C2×C4×C31—82no—
326C2×C4×C31#12011yescharacteristic
327C2×C4×C31C22×D411yescharacteristic
328C2×C4×C31C22×D411yescharacteristic
329C2×C4×C31C22×D411yescharacteristic
330C8×C31—42no—
331C8×C31—42no—
332C8×C31—42no—
333#3551C2×C3111yescharacteristic, complemented
334#3022C2×C3111yescharacteristic, complemented
335#3021C2×C3111yescharacteristic, complemented
336#3018C2×C3111yescharacteristic, complemented
337#2204C2×C3114yescomplemented
338#2203C2×C3114yescomplemented
339#2135C2×C3111yescharacteristic, complemented
340#2134C2×C3111yescharacteristic, complemented
341#2132C2×C3111yescharacteristic, complemented
342C22×C31—21no—
343C22×C31—21no—
344C22×C31—21no—
345C22×C31—41no—
346C22×C31—41no—
347C22×C31—41no—
348C22×C31—41no—
349C22×C31—42no—
350C22×C31—41no—
351C22×C31—42no—
352C22×C31—42no—
353C22×C31—41no—
354C22×C31—42no—
355C22×C31—161no—
356C22×C31—161no—
357C22×C31—161no—
358C22×C31—162no—
359C22×C31C2×#12011yescharacteristic
360C4×C31—21no—
361C4×C31—21no—
362C4×C31—21no—
363C4×C31—41no—
364C4×C31—42no—
365C4×C31—42no—
366C4×C31—41no—
367C4×C31—41no—
368C4×C31—42no—
369C4×C31—42no—
370C4×C31B(4,𝔽2)11yescharacteristic
371C4×C31B(4,𝔽2)11yescharacteristic
372#585C22×C3111yescharacteristic
373#575—21no—
374C2×#137—21no—
375C2×AGL(1,ℤ/8)—21no—
376#563C22×C3112yescomplemented
377#560—21no—
378#555C22×C3112yescomplemented
379#553—21no—
380#552—21no—
381#551—21no—
382#548—21no—
383#546—21no—
384#540—22no—
385#538—22no—
386#537—21no—
387#536C22×C3111yescharacteristic
388#535C22×C3111yescharacteristic
389#532C22×C3111yescharacteristic
390#529—21no—
391#456C22×C3112yescomplemented
392#456C22×C3114yescomplemented
393#455—21no—
394#455—22no—
395#454C22×C3114yes—
396#454C22×C3112yescomplemented
397#453—21no—
398#453—22no—
399#421—21no—
400#421—21no—
401C2×#104—21no—
402#413C22×C3111yescharacteristic
403#413C22×C3111yescharacteristic
404#413C22×C3111yescharacteristic
405#356C22×C3112yescomplemented
406#356C22×C3114yescomplemented
407#355C22×C3112yescomplemented
408#355C22×C3114yescomplemented
409C2×C31—21no—
410C2×C31—41no—
411C2×C31—41no—
412C2×C31—41no—
413C2×C31—81no—
414C2×C31—82no—
415C2×C31—82no—
416C2×C31C2×B(4,𝔽2)11yescharacteristic
4172−1+4—41no—
4182−1+4C23×C3112yes—
419H(5,𝔽2)—21no—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—41no—
423C2×#41—21no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—42no—
428C2×#41D4×C3111yescharacteristic
429C2×#41C23×C3111yescharacteristic
430C22×Q8D4×C3111yescharacteristic
431C22×D4D4×C3111yescharacteristic
432#137—24no—
433#137—22no—
434#137—41no—
435#137—42no—
436AGL(1,ℤ/8)—24no—
437AGL(1,ℤ/8)—22no—
438AGL(1,ℤ/8)—41no—
439AGL(1,ℤ/8)—42no—
440#135—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×SD16—41no—
444C2×D8—41no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—21no—
448C4⋊Q8C23×C3111yescharacteristic
449C4⋊Q8C23×C3112yes—
450#127D4×C3111yescharacteristic
451#127D4×C3112yes—
452#126—22no—
453#126—22no—
454#126—22no—
455#125—21no—
456#125—22no—
457#124—21no—
458#124—22no—
459#124D4×C3111yescharacteristic
460#124D4×C3112yes—
461#124C23×C3111yescharacteristic
462#124C23×C3112yes—
463#123—22no—
464#123—22no—
465#123—22no—
466#123—21no—
467#123—21no—
468#123—22no—
469C22⋊Q8—21no—
470C22⋊Q8—22no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—21no—
484#121—21no—
485#120—22no—
486#120—21no—
487#120—21no—
488C4×Q8—21no—
489C4×D4—22no—
490C4×D4—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—22no—
495#117—22no—
496#117—22no—
497#117D4×C3111yescharacteristic
498#117D4×C3111yescharacteristic
499C2×C4⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C42D4×C3111yescharacteristic
502#104—22no—
503#104—22no—
504#104—24no—
505#104—24no—
506#101C23×C3112yes—
507#101C23×C3112yes—
508#101C23×C3112yes—
509#100—21no—
510#100—21no—
511#100—21no—
512C31#3357211yescharacteristic, direct product factor, Sylow
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C3111yescharacteristic
542C2×Q8C2×D4×C3112yes—
543C2×Q8C24×C3111yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C3111yescharacteristic
564C2×D4C2×D4×C3112yes—
565C2×D4C2×D4×C3111yescharacteristic
566C2×D4C2×D4×C3111yescharacteristic
567C2×D4C2×D4×C3111yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C3111yescharacteristic
578C22×C4C2×D4×C3111yescharacteristic
579C22×C4C2×D4×C3111yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C3111yescharacteristic
626C42C2×D4×C3111yescharacteristic
627C42C2×D4×C3112yes—
628C42C2×D4×C3112yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23C31×#12011yescharacteristic
637C23C31×#12011yescharacteristic
638C23C31×#12011yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—81no—
668D4—81no—
669D4—82no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—81no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4C31×#12011yescharacteristic
697C2×C4C22×D4×C3111yescharacteristic
698C2×C4C22×D4×C3111yescharacteristic
699C2×C4C22×D4×C3111yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×C31×#12011yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C31×B(4,𝔽2)11yescharacteristic
732C4C31×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C31×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C31C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C31
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C31 ◁ C2×C4×C31 ◁ C2×#41×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3551C2semidirect
2. C31×#3022C2semidirect
3. C31×#3021C2semidirect
4. C31×#3018C2semidirect
5. C31×#2204C2semidirect
6. C31×#2203C2semidirect
7. C31×#2135C2semidirect
8. C31×#2134C2semidirect
9. C31×#2132C2semidirect
14. C31×#563C22semidirect
16. C31×#555C22semidirect
29. C31×#456C22semidirect
30. C31×#456C22semidirect
34. C31×#454C22semidirect
43. C31×#356C22semidirect
44. C31×#356C22semidirect
45. C31×#355C22semidirect
46. C31×#355C22semidirect
258. #33572C31direct (N × H)
333. #3551C2×C31semidirect
334. #3022C2×C31semidirect
335. #3021C2×C31semidirect
336. #3018C2×C31semidirect
337. #2204C2×C31semidirect
338. #2203C2×C31semidirect
339. #2135C2×C31semidirect
340. #2134C2×C31semidirect
341. #2132C2×C31semidirect
376. #563C22×C31semidirect
378. #555C22×C31semidirect
391. #456C22×C31semidirect
392. #456C22×C31semidirect
396. #454C22×C31semidirect
405. #356C22×C31semidirect
406. #356C22×C31semidirect
407. #355C22×C31semidirect
408. #355C22×C31semidirect
512. C31#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#35512
C31×#30222
C31×#30212
C31×#30182
C31×#22042
C31×#22032
C31×#21352
C31×#21342
C31×#21322
#3357231