Finite Group Databasebeta

← C31×#24412 #21481171

Subgroups — C31×#24412 #21481171

Order 7936.

1710 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3484C211yesmaximal, characteristic, complemented
2C31×#3055C212yesmaximal, complemented
3C2×C31×#453C211yesmaximal, characteristic, complemented
4C22×C31×#100C211yesmaximal, characteristic, complemented
5C31×#2433C211yesmaximal, characteristic, complemented
6C31×#2037C212yesmaximal, complemented
7C31×#2002C212yesmaximal, complemented
8C31×#1887C211yesmaximal, characteristic, complemented
9C31×#1871C212yesmaximal, complemented
10C31×#1856C211yesmaximal, characteristic, complemented
11C31×#1792C211yesmaximal, characteristic, complemented
12C2×C31×H(5,𝔽2)C2211yescharacteristic
13C23×D4×C31C2211yescharacteristic
14C2×C31×AGL(1,ℤ/8)C2212yescomplemented
15C22×M16×C31C2212yescomplemented
16C31×#546—22no—
17C31×#546—22no—
18D42×C31—22no—
19D42×C31—22no—
20C31×#535C2212yes—
21C31×#534—22no—
22C2×C31×#127C2211yescharacteristic
23C2×C31×#127C2211yescharacteristic, complemented
24C31×#525C2212yes—
25C2×C31×#121C2211yescharacteristic, complemented
26C2×C31×#120—22no—
27C2×C31×#120—22no—
28C31×#518C2211yescharacteristic
29C31×#469—22no—
30C31×#468—22no—
31C31×#466—22no—
32C31×#465—22no—
33C31×#453—24no—
34C31×#428C2212yescomplemented
35C2×C31×#104C2212yescomplemented
36C2×C31×#104C2212yescomplemented
37C31×#418C2212yescomplemented
38C31×#417C2212yescomplemented
39C2×C31×#100—24no—
40C2×C31×#100C2211yescharacteristic
41C2×C31×#100C2211yescharacteristic
42C2×C31×#100C2212yescomplemented
43C31×#392—22no—
44C31×#390C2211yescharacteristic
45C31×#390C2211yescharacteristic, complemented
46C4×C22⋊C4×C31C2211yescharacteristic, complemented
47C31×#339C2212yescomplemented
48C31×#339C2212yescomplemented
49C25×C31D412yes—
50C31×H(5,𝔽2)—22no—
51C31×H(5,𝔽2)—22no—
52C31×H(5,𝔽2)—42no—
53C2×#41×C31—22no—
54C2×#41×C31C2312yes—
55C22×D4×C31—22no—
56C22×D4×C31—22no—
57C22×D4×C31—22no—
58C22×D4×C31—22no—
59C22×D4×C31—22no—
60C22×D4×C31—22no—
61C22×D4×C31—21no—
62C22×D4×C31—22no—
63C22×D4×C31—22no—
64C22×D4×C31—22no—
65C22×D4×C31—22no—
66C22×D4×C31—42no—
67C22×D4×C31D412yes—
68C22×D4×C31C2311yescharacteristic
69C22×D4×C31C2311yescharacteristic
70C22×D4×C31C2311yescharacteristic
71C23×C4×C31C2311yescharacteristic
72C31×AGL(1,ℤ/8)—24no—
73C31×AGL(1,ℤ/8)—42no—
74C2×SD16×C31—22no—
75C2×D8×C31—22no—
76C2×M16×C31—22no—
77C2×M16×C31—24no—
78C2×M16×C31—42no—
79C2×M16×C31C2312yes—
80C2×M16×C31C2312yes—
81C22×C8×C31—22no—
82C31×#127—22no—
83C31×#127—22no—
84C31×#127—22no—
85C31×#127—42no—
86C31×#124—22no—
87C31×#123—24no—
88C31×#123—22no—
89C31×C22⋊Q8D412yescomplemented
90C31×C22⋊Q8D412yescomplemented
91C31×#121—24no—
92C31×#121—24no—
93C31×#121—22no—
94C31×#121—22no—
95C31×#121—22no—
96C31×#121—22no—
97C31×#121D412yescomplemented
98C31×#121D412yescomplemented
99C31×#120—24no—
100C31×#120—24no—
101C31×#120—24no—
102C31×#120—22no—
103C31×#120—24no—
104C31×#120—48no—
105C4×D4×C31—22no—
106C4×D4×C31—22no—
107C4×D4×C31—22no—
108C4×D4×C31—22no—
109C31×#117C2312yes—
110C2×C4⋊C4×C31C2311yescharacteristic
111C2×C22⋊C4×C31—22no—
112C2×C22⋊C4×C31—22no—
113C2×C22⋊C4×C31—22no—
114C2×C22⋊C4×C31—21no—
115C2×C22⋊C4×C31—22no—
116C2×C22⋊C4×C31—22no—
117C2×C22⋊C4×C31—21no—
118C2×C42×C31C2311yescharacteristic
119C2×C42×C31C2311yescharacteristic
120C31×#107—22no—
121C31×#106—22no—
122C31×#104—24no—
123C31×#104—42no—
124C31×#103—22no—
125C31×#102—22no—
126C31×#102—22no—
127C31×#102—22no—
128C31×#100—22no—
129C31×#100—24no—
130C31×#100D414yescomplemented
131C31×#95—21no—
132C24×C31—22no—
133C24×C31—22no—
134C24×C31—22no—
135C24×C31—24no—
136C24×C31—21no—
137C24×C31—42no—
138C24×C31—44no—
139C24×C31—82no—
140C24×C31C2×D411yescharacteristic
141C24×C31C2×D412yes—
142C24×C31C2×D412yes—
143#41×C31—22no—
144#41×C31—22no—
145#41×C31—22no—
146#41×C31—22no—
147#41×C31—44no—
148#41×C31—44no—
149C2×Q8×C31C2×D412yes—
150C2×D4×C31—24no—
151C2×D4×C31—22no—
152C2×D4×C31—22no—
153C2×D4×C31—24no—
154C2×D4×C31—22no—
155C2×D4×C31—24no—
156C2×D4×C31—24no—
157C2×D4×C31—24no—
158C2×D4×C31—22no—
159C2×D4×C31—21no—
160C2×D4×C31—22no—
161C2×D4×C31—22no—
162C2×D4×C31—21no—
163C2×D4×C31—21no—
164C2×D4×C31—21no—
165C2×D4×C31—22no—
166C2×D4×C31—22no—
167C2×D4×C31—22no—
168C2×D4×C31—44no—
169C2×D4×C31—44no—
170C2×D4×C31—44no—
171C2×D4×C31—44no—
172C2×D4×C31—42no—
173C2×D4×C31—44no—
174C2×D4×C31—44no—
175C2×D4×C31—44no—
176C2×D4×C31—44no—
177C2×D4×C31—44no—
178C2×D4×C31—44no—
179C2×D4×C31—44no—
180C2×D4×C31—44no—
181C2×D4×C31—41no—
182C2×D4×C31—41no—
183C2×D4×C31—44no—
184C2×D4×C31—82no—
185C2×D4×C31—82no—
186C2×D4×C31—84no—
187C2×D4×C31—84no—
188C2×D4×C31C2×D412yes—
189C2×D4×C31C2×D412yes—
190C2×D4×C31#4112yes—
191C22×C4×C31—21no—
192C22×C4×C31—21no—
193C22×C4×C31—22no—
194C22×C4×C31—22no—
195C22×C4×C31—21no—
196C22×C4×C31—21no—
197C22×C4×C31—22no—
198C22×C4×C31—22no—
199C22×C4×C31—22no—
200C22×C4×C31—21no—
201C22×C4×C31C2×D411yescharacteristic
202C22×C4×C31C2×D412yes—
203C22×C4×C31C2×D412yes—
204C22×C4×C31C2411yescharacteristic
205SD16×C31—44no—
206D8×C31—44no—
207M16×C31—22no—
208M16×C31—22no—
209M16×C31—22no—
210M16×C31—44no—
211M16×C31C2×D414yescomplemented
212C2×C8×C31—22no—
213C2×C8×C31—22no—
214C2×C8×C31—44no—
215C4⋊C4×C31—22no—
216C4⋊C4×C31—22no—
217C4⋊C4×C31—22no—
218C4⋊C4×C31C2×D412yes—
219C4⋊C4×C31C2×D412yes—
220C22⋊C4×C31—24no—
221C22⋊C4×C31—24no—
222C22⋊C4×C31—24no—
223C22⋊C4×C31—24no—
224C22⋊C4×C31—22no—
225C22⋊C4×C31—22no—
226C22⋊C4×C31—22no—
227C22⋊C4×C31—22no—
228C22⋊C4×C31—22no—
229C22⋊C4×C31—44no—
230C22⋊C4×C31—44no—
231C22⋊C4×C31—42no—
232C42×C31—22no—
233C42×C31—21no—
234C42×C31—21no—
235C42×C31—22no—
236#24412C3111yesmaximal, characteristic, direct product factor, Sylow
237C23×C31—22no—
238C23×C31—21no—
239C23×C31—21no—
240C23×C31—22no—
241C23×C31—22no—
242C23×C31—22no—
243C23×C31—22no—
244C23×C31—22no—
245C23×C31—22no—
246C23×C31—41no—
247C23×C31—44no—
248C23×C31—44no—
249C23×C31—42no—
250C23×C31—42no—
251C23×C31—42no—
252C23×C31—42no—
253C23×C31—44no—
254C23×C31—44no—
255C23×C31—42no—
256C23×C31—42no—
257C23×C31—44no—
258C23×C31—41no—
259C23×C31—41no—
260C23×C31—41no—
261C23×C31—82no—
262C23×C31—82no—
263C23×C31—82no—
264C23×C31—82no—
265C23×C31—88no—
266C23×C31—88no—
267C23×C31#12011yescharacteristic
268C23×C31#12011yescharacteristic
269C23×C31#12114yes—
270C23×C31C22×D411yescharacteristic
271Q8×C31—22no—
272Q8×C31—22no—
273D4×C31—24no—
274D4×C31—22no—
275D4×C31—24no—
276D4×C31—22no—
277D4×C31—48no—
278D4×C31—48no—
279D4×C31—44no—
280D4×C31—42no—
281D4×C31—42no—
282D4×C31—44no—
283D4×C31—42no—
284D4×C31—42no—
285D4×C31—42no—
286D4×C31—42no—
287D4×C31—84no—
288D4×C31—84no—
289D4×C31—88no—
290D4×C31—88no—
291D4×C31—82no—
292D4×C31—82no—
293C2×C4×C31—21no—
294C2×C4×C31—21no—
295C2×C4×C31—22no—
296C2×C4×C31—22no—
297C2×C4×C31—22no—
298C2×C4×C31—22no—
299C2×C4×C31—22no—
300C2×C4×C31—22no—
301C2×C4×C31—22no—
302C2×C4×C31—22no—
303C2×C4×C31—22no—
304C2×C4×C31—44no—
305C2×C4×C31—41no—
306C2×C4×C31—41no—
307C2×C4×C31—41no—
308C2×C4×C31—41no—
309C2×C4×C31—42no—
310C2×C4×C31—42no—
311C2×C4×C31—42no—
312C2×C4×C31—41no—
313C2×C4×C31—82no—
314C2×C4×C31—82no—
315C2×C4×C31#12012yes—
316C2×C4×C31C22×D411yescharacteristic
317C2×C4×C31C22×D412yes—
318C2×C4×C31C2×#4111yescharacteristic
319C2×C4×C31H(5,𝔽2)12yes—
320C8×C31—24no—
321C8×C31—42no—
322#3484C2×C3111yescharacteristic, complemented
323#3055C2×C3112yescomplemented
324C2×#453C2×C3111yescharacteristic, complemented
325C22×#100C2×C3111yescharacteristic, complemented
326#2433C2×C3111yescharacteristic, complemented
327#2037C2×C3112yescomplemented
328#2002C2×C3112yescomplemented
329#1887C2×C3111yescharacteristic, complemented
330#1871C2×C3112yescomplemented
331#1856C2×C3111yescharacteristic, complemented
332#1792C2×C3111yescharacteristic, complemented
333C22×C31—21no—
334C22×C31—21no—
335C22×C31—21no—
336C22×C31—21no—
337C22×C31—21no—
338C22×C31—24no—
339C22×C31—21no—
340C22×C31—21no—
341C22×C31—42no—
342C22×C31—42no—
343C22×C31—44no—
344C22×C31—44no—
345C22×C31—42no—
346C22×C31—42no—
347C22×C31—42no—
348C22×C31—42no—
349C22×C31—42no—
350C22×C31—42no—
351C22×C31—42no—
352C22×C31—42no—
353C22×C31—82no—
354C22×C31—88no—
355C22×C31—82no—
356C22×C31—82no—
357C22×C31—82no—
358C22×C31—88no—
359C22×C31—81no—
360C22×C31—81no—
361C22×C31—81no—
362C22×C31—164no—
363C22×C31#45312yescomplemented
364C22×C31C2×#12011yescharacteristic
365C22×C31C2×#12111yescharacteristic
366C22×C31#53411yescharacteristic
367C4×C31—22no—
368C4×C31—42no—
369C4×C31—42no—
370C4×C31—42no—
371C4×C31—42no—
372C4×C31—42no—
373C4×C31—81no—
374C4×C31D4212yes—
375C4×C31#54612yes—
376C2×H(5,𝔽2)C22×C3111yescharacteristic
377C23×D4C22×C3111yescharacteristic
378C2×AGL(1,ℤ/8)C22×C3112yescomplemented
379C22×M16C22×C3112yescomplemented
380#546—22no—
381#546—22no—
382D42—22no—
383D42—22no—
384#535C22×C3112yes—
385#534—22no—
386C2×#127C22×C3111yescharacteristic
387C2×#127C22×C3111yescharacteristic, complemented
388#525C22×C3112yes—
389C2×#121C22×C3111yescharacteristic, complemented
390C2×#120—22no—
391C2×#120—22no—
392#518C22×C3111yescharacteristic
393#469—22no—
394#468—22no—
395#466—22no—
396#465—22no—
397#453—24no—
398#428C22×C3112yescomplemented
399C2×#104C22×C3112yescomplemented
400C2×#104C22×C3112yescomplemented
401#418C22×C3112yescomplemented
402#417C22×C3112yescomplemented
403C2×#100—24no—
404C2×#100C22×C3111yescharacteristic
405C2×#100C22×C3111yescharacteristic
406C2×#100C22×C3112yescomplemented
407#392—22no—
408#390C22×C3111yescharacteristic
409#390C22×C3111yescharacteristic, complemented
410C4×C22⋊C4C22×C3111yescharacteristic, complemented
411#339C22×C3112yescomplemented
412#339C22×C3112yescomplemented
413C2×C31—21no—
414C2×C31—21no—
415C2×C31—22no—
416C2×C31—41no—
417C2×C31—44no—
418C2×C31—82no—
419C2×C31—82no—
420C2×C31—161no—
421C2×C31#241011yescharacteristic
422C2×C31C2×#45311yescharacteristic
423C2×C31#301911yescharacteristic
424C25D4×C3112yes—
425H(5,𝔽2)—22no—
426H(5,𝔽2)—22no—
427H(5,𝔽2)—42no—
428C2×#41—22no—
429C2×#41C23×C3112yes—
430C22×D4—22no—
431C22×D4—22no—
432C22×D4—22no—
433C22×D4—22no—
434C22×D4—22no—
435C22×D4—22no—
436C22×D4—21no—
437C22×D4—22no—
438C22×D4—22no—
439C22×D4—22no—
440C22×D4—22no—
441C22×D4—42no—
442C22×D4D4×C3112yes—
443C22×D4C23×C3111yescharacteristic
444C22×D4C23×C3111yescharacteristic
445C22×D4C23×C3111yescharacteristic
446C23×C4C23×C3111yescharacteristic
447AGL(1,ℤ/8)—24no—
448AGL(1,ℤ/8)—42no—
449C2×SD16—22no—
450C2×D8—22no—
451C2×M16—22no—
452C2×M16—24no—
453C2×M16—42no—
454C2×M16C23×C3112yes—
455C2×M16C23×C3112yes—
456C22×C8—22no—
457#127—22no—
458#127—22no—
459#127—22no—
460#127—42no—
461#124—22no—
462#123—24no—
463#123—22no—
464C22⋊Q8D4×C3112yescomplemented
465C22⋊Q8D4×C3112yescomplemented
466#121—24no—
467#121—24no—
468#121—22no—
469#121—22no—
470#121—22no—
471#121—22no—
472#121D4×C3112yescomplemented
473#121D4×C3112yescomplemented
474#120—24no—
475#120—24no—
476#120—24no—
477#120—22no—
478#120—24no—
479#120—48no—
480C4×D4—22no—
481C4×D4—22no—
482C4×D4—22no—
483C4×D4—22no—
484#117C23×C3112yes—
485C2×C4⋊C4C23×C3111yescharacteristic
486C2×C22⋊C4—22no—
487C2×C22⋊C4—22no—
488C2×C22⋊C4—22no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—22no—
491C2×C22⋊C4—22no—
492C2×C22⋊C4—21no—
493C2×C42C23×C3111yescharacteristic
494C2×C42C23×C3111yescharacteristic
495#107—22no—
496#106—22no—
497#104—24no—
498#104—42no—
499#103—22no—
500#102—22no—
501#102—22no—
502#102—22no—
503#100—22no—
504#100—24no—
505#100D4×C3114yescomplemented
506#95—21no—
507C31#2441211yescharacteristic, direct product factor, Sylow
508C24—22no—
509C24—22no—
510C24—22no—
511C24—24no—
512C24—21no—
513C24—42no—
514C24—44no—
515C24—82no—
516C24C2×D4×C3111yescharacteristic
517C24C2×D4×C3112yes—
518C24C2×D4×C3112yes—
519#41—22no—
520#41—22no—
521#41—22no—
522#41—22no—
523#41—44no—
524#41—44no—
525C2×Q8C2×D4×C3112yes—
526C2×D4—24no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—24no—
530C2×D4—22no—
531C2×D4—24no—
532C2×D4—24no—
533C2×D4—24no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—44no—
545C2×D4—44no—
546C2×D4—44no—
547C2×D4—44no—
548C2×D4—42no—
549C2×D4—44no—
550C2×D4—44no—
551C2×D4—44no—
552C2×D4—44no—
553C2×D4—44no—
554C2×D4—44no—
555C2×D4—44no—
556C2×D4—44no—
557C2×D4—41no—
558C2×D4—41no—
559C2×D4—44no—
560C2×D4—82no—
561C2×D4—82no—
562C2×D4—84no—
563C2×D4—84no—
564C2×D4C2×D4×C3112yes—
565C2×D4C2×D4×C3112yes—
566C2×D4#41×C3112yes—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—21no—
577C22×C4C2×D4×C3111yescharacteristic
578C22×C4C2×D4×C3112yes—
579C22×C4C2×D4×C3112yes—
580C22×C4C24×C3111yescharacteristic
581SD16—44no—
582D8—44no—
583M16—22no—
584M16—22no—
585M16—22no—
586M16—44no—
587M16C2×D4×C3114yescomplemented
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—44no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4C2×D4×C3112yes—
595C4⋊C4C2×D4×C3112yes—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—42no—
608C42—22no—
609C42—21no—
610C42—21no—
611C42—22no—
612C23—22no—
613C23—22no—
614C23—21no—
615C23—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—41no—
622C23—44no—
623C23—44no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—44no—
629C23—44no—
630C23—42no—
631C23—42no—
632C23—44no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—82no—
637C23—82no—
638C23—82no—
639C23—82no—
640C23—88no—
641C23—88no—
642C23C31×#12011yescharacteristic
643C23C31×#12011yescharacteristic
644C23C31×#12114yes—
645C23C22×D4×C3111yescharacteristic
646Q8—22no—
647Q8—22no—
648D4—24no—
649D4—22no—
650D4—24no—
651D4—22no—
652D4—48no—
653D4—48no—
654D4—44no—
655D4—44no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—84no—
663D4—84no—
664D4—88no—
665D4—88no—
666D4—82no—
667D4—82no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4C31×#12012yes—
691C2×C4C22×D4×C3111yescharacteristic
692C2×C4C22×D4×C3112yes—
693C2×C4C2×#41×C3111yescharacteristic
694C2×C4C31×H(5,𝔽2)12yes—
695C8—24no—
696C8—42no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—21no—
702C22—24no—
703C22—21no—
704C22—21no—
705C22—42no—
706C22—42no—
707C22—44no—
708C22—44no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—82no—
718C22—88no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—88no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—164no—
727C22C31×#45312yescomplemented
728C22C2×C31×#12011yescharacteristic
729C22C2×C31×#12111yescharacteristic
730C22C31×#53411yescharacteristic
731C4—22no—
732C4—42no—
733C4—42no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—81no—
738C4D42×C3112yes—
739C4C31×#54612yes—
740C2—21no—
741C2—21no—
742C2—22no—
743C2—41no—
744C2—44no—
745C2—82no—
746C2—82no—
747C2—161no—
748C2C31×#241011yescharacteristic
749C2C2×C31×#45311yescharacteristic
750C2C31×#301911yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C31 ◁ C23×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#3484C2semidirect
2. C31×#3055C2semidirect
3. C2×C31×#453C2semidirect
4. C22×C31×#100C2semidirect
5. C31×#2433C2semidirect
6. C31×#2037C2semidirect
7. C31×#2002C2semidirect
8. C31×#1887C2semidirect
9. C31×#1871C2semidirect
10. C31×#1856C2semidirect
11. C31×#1792C2semidirect
14. C2×C31×AGL(1,ℤ/8)C22semidirect
15. C22×M16×C31C22semidirect
23. C2×C31×#127C22semidirect
25. C2×C31×#121C22semidirect
34. C31×#428C22semidirect
35. C2×C31×#104C22semidirect
36. C2×C31×#104C22semidirect
37. C31×#418C22semidirect
38. C31×#417C22semidirect
42. C2×C31×#100C22semidirect
45. C31×#390C22semidirect
46. C4×C22⋊C4×C31C22semidirect
47. C31×#339C22semidirect
48. C31×#339C22semidirect
89. C31×C22⋊Q8D4semidirect
90. C31×C22⋊Q8D4semidirect
97. C31×#121D4semidirect
98. C31×#121D4semidirect
130. C31×#100D4semidirect
211. M16×C31C2×D4semidirect
236. #24412C31direct (N × H)
322. #3484C2×C31semidirect
323. #3055C2×C31semidirect
324. C2×#453C2×C31semidirect
325. C22×#100C2×C31semidirect
326. #2433C2×C31semidirect
327. #2037C2×C31semidirect
328. #2002C2×C31semidirect
329. #1887C2×C31semidirect
330. #1871C2×C31semidirect
331. #1856C2×C31semidirect
332. #1792C2×C31semidirect
363. C22×C31#453semidirect
378. C2×AGL(1,ℤ/8)C22×C31semidirect
379. C22×M16C22×C31semidirect
387. C2×#127C22×C31semidirect
389. C2×#121C22×C31semidirect
398. #428C22×C31semidirect
399. C2×#104C22×C31semidirect
400. C2×#104C22×C31semidirect
401. #418C22×C31semidirect
402. #417C22×C31semidirect
406. C2×#100C22×C31semidirect
409. #390C22×C31semidirect
410. C4×C22⋊C4C22×C31semidirect
411. #339C22×C31semidirect
412. #339C22×C31semidirect
464. C22⋊Q8D4×C31semidirect
465. C22⋊Q8D4×C31semidirect
472. #121D4×C31semidirect
473. #121D4×C31semidirect
505. #100D4×C31semidirect
507. C31#24412direct (N × H)
587. M16C2×D4×C31semidirect
727. C22C31×#453semidirect

Maximal subgroups

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

subgroupindex
C31×#34842
C31×#30552
C2×C31×#4532
C22×C31×#1002
C31×#24332
C31×#20372
C31×#20022
C31×#18872
C31×#18712
C31×#18562
C31×#17922
#2441231