Finite Group Databasebeta

← C31×#24413 #21481172

Subgroups — C31×#24413 #21481172

Order 7936.

1580 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#3484C211yesmaximal, characteristic
2C31×#3056C212yesmaximal, complemented
3C2×C31×#455C211yesmaximal, characteristic, complemented
4C22×C31×#100C211yesmaximal, characteristic, complemented
5C31×#2435C211yesmaximal, characteristic, complemented
6C31×#2037C212yesmaximal, complemented
7C31×#2004C212yesmaximal, complemented
8C31×#1885C211yesmaximal, characteristic, complemented
9C31×#1871C212yesmaximal, complemented
10C31×#1856C211yesmaximal, characteristic, complemented
11C31×#1792C211yesmaximal, characteristic, complemented
12C2×C31×H(5,𝔽2)C2211yescharacteristic
13C23×D4×C31C2211yescharacteristic
14C2×C31×#137C2212yescomplemented
15C22×M16×C31C2212yescomplemented
16C31×#546—22no—
17C31×#546—22no—
18D42×C31—22no—
19D42×C31—22no—
20C31×#535C2212yes—
21C31×#534—22no—
22C2×C31×#124C2211yescharacteristic
23C2×C31×#124C2211yescharacteristic, complemented
24C31×#525C2212yes—
25C2×C31×C22⋊Q8C2211yescharacteristic, complemented
26C2×C31×#120—22no—
27C31×#518C2211yescharacteristic
28C31×#470—22no—
29C31×#468—22no—
30C31×#467—22no—
31C31×#465—22no—
32C31×#455—24no—
33C31×#428C2212yescomplemented
34C2×C31×#104C2212yescomplemented
35C2×C31×#104C2212yescomplemented
36C31×#419C2212yescomplemented
37C31×#417C2212yescomplemented
38C2×C31×#100—24no—
39C2×C31×#100C2211yescharacteristic
40C2×C31×#100C2211yescharacteristic
41C2×C31×#100C2212yescomplemented
42C31×#394—22no—
43C31×#390C2211yescharacteristic
44C31×#390C2211yescharacteristic, complemented
45C31×#379—22no—
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×Q8×C31C2311yescharacteristic
56C22×D4×C31—22no—
57C22×D4×C31—22no—
58C22×D4×C31—22no—
59C22×D4×C31—22no—
60C22×D4×C31—22no—
61C22×D4×C31—22no—
62C22×D4×C31—22no—
63C22×D4×C31—22no—
64C22×D4×C31—42no—
65C22×D4×C31D412yes—
66C22×D4×C31C2311yescharacteristic
67C22×D4×C31C2311yescharacteristic
68C23×C4×C31C2311yescharacteristic
69C31×#137—24no—
70C31×#137—42no—
71C2×Q16×C31—22no—
72C2×SD16×C31—22no—
73C2×M16×C31—22no—
74C2×M16×C31—24no—
75C2×M16×C31—42no—
76C2×M16×C31C2312yes—
77C2×M16×C31C2312yes—
78C22×C8×C31—22no—
79C31×#127—22no—
80C31×#124—22no—
81C31×#124—22no—
82C31×#124—22no—
83C31×#124—42no—
84C31×#123—24no—
85C31×#123—22no—
86C31×C22⋊Q8—22no—
87C31×C22⋊Q8—22no—
88C31×C22⋊Q8D412yes—
89C31×C22⋊Q8D412yes—
90C31×#121—24no—
91C31×#121—24no—
92C31×#121—22no—
93C31×#121—22no—
94C31×#121D412yes—
95C31×#121D412yes—
96C31×#120—24no—
97C31×#120—24no—
98C31×#120—24no—
99C31×#120—22no—
100C31×#120—24no—
101C4×D4×C31—22no—
102C4×D4×C31—22no—
103C4×D4×C31—22no—
104C4×D4×C31—22no—
105C31×#117C2312yes—
106C2×C4⋊C4×C31—21no—
107C2×C4⋊C4×C31C2311yescharacteristic
108C2×C22⋊C4×C31—22no—
109C2×C22⋊C4×C31—22no—
110C2×C22⋊C4×C31—22no—
111C2×C22⋊C4×C31—21no—
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×C42×C31C2311yescharacteristic
118C2×C42×C31C2311yescharacteristic
119C31×#107—22no—
120C31×#106—22no—
121C31×#104—24no—
122C31×#104—42no—
123C31×#103—22no—
124C31×#103—22no—
125C31×#103—22no—
126C31×#102—22no—
127C31×#100—22no—
128C31×#100—24no—
129C31×#100D414yescomplemented
130C31×#95—21no—
131C24×C31—22no—
132C24×C31—22no—
133C24×C31—22no—
134C24×C31—24no—
135C24×C31—42no—
136C24×C31—44no—
137C24×C31—82no—
138C24×C31C2×D411yescharacteristic
139C24×C31C2×D412yes—
140C24×C31C2×D412yes—
141#41×C31—22no—
142#41×C31—22no—
143#41×C31—22no—
144#41×C31—22no—
145#41×C31—44no—
146#41×C31—44no—
147C2×Q8×C31—22no—
148C2×Q8×C31—21no—
149C2×Q8×C31—21no—
150C2×Q8×C31—22no—
151C2×Q8×C31C2×D412yes—
152C2×D4×C31—24no—
153C2×D4×C31—22no—
154C2×D4×C31—22no—
155C2×D4×C31—24no—
156C2×D4×C31—22no—
157C2×D4×C31—24no—
158C2×D4×C31—24no—
159C2×D4×C31—24no—
160C2×D4×C31—22no—
161C2×D4×C31—21no—
162C2×D4×C31—22no—
163C2×D4×C31—21no—
164C2×D4×C31—22no—
165C2×D4×C31—22no—
166C2×D4×C31—44no—
167C2×D4×C31—44no—
168C2×D4×C31—44no—
169C2×D4×C31—44no—
170C2×D4×C31—42no—
171C2×D4×C31—44no—
172C2×D4×C31—44no—
173C2×D4×C31—44no—
174C2×D4×C31—44no—
175C2×D4×C31—84no—
176C2×D4×C31—84no—
177C2×D4×C31C2×D412yes—
178C2×D4×C31C2×D412yes—
179C2×D4×C31#4112yes—
180C22×C4×C31—21no—
181C22×C4×C31—21no—
182C22×C4×C31—22no—
183C22×C4×C31—22no—
184C22×C4×C31—22no—
185C22×C4×C31—22no—
186C22×C4×C31—22no—
187C22×C4×C31—21no—
188C22×C4×C31—21no—
189C22×C4×C31—21no—
190C22×C4×C31—21no—
191C22×C4×C31C2×D411yescharacteristic
192C22×C4×C31C2×D412yes—
193C22×C4×C31C2×D412yes—
194C22×C4×C31C2411yescharacteristic
195Q16×C31—44no—
196SD16×C31—44no—
197M16×C31—22no—
198M16×C31—22no—
199M16×C31—22no—
200M16×C31—44no—
201M16×C31C2×D414yescomplemented
202C2×C8×C31—22no—
203C2×C8×C31—22no—
204C2×C8×C31—44no—
205C4⋊C4×C31—22no—
206C4⋊C4×C31—22no—
207C4⋊C4×C31—22no—
208C4⋊C4×C31—42no—
209C4⋊C4×C31C2×D412yes—
210C4⋊C4×C31C2×D412yes—
211C22⋊C4×C31—24no—
212C22⋊C4×C31—24no—
213C22⋊C4×C31—24no—
214C22⋊C4×C31—22no—
215C22⋊C4×C31—22no—
216C22⋊C4×C31—22no—
217C22⋊C4×C31—22no—
218C22⋊C4×C31—22no—
219C22⋊C4×C31—42no—
220C22⋊C4×C31—44no—
221C22⋊C4×C31—41no—
222C22⋊C4×C31—41no—
223C22⋊C4×C31—44no—
224C22⋊C4×C31—82no—
225C22⋊C4×C31—82no—
226C42×C31—22no—
227C42×C31—21no—
228C42×C31—21no—
229C42×C31—22no—
230#24413C3111yesmaximal, characteristic, direct product factor, Sylow
231C23×C31—22no—
232C23×C31—21no—
233C23×C31—21no—
234C23×C31—22no—
235C23×C31—22no—
236C23×C31—22no—
237C23×C31—22no—
238C23×C31—22no—
239C23×C31—22no—
240C23×C31—41no—
241C23×C31—44no—
242C23×C31—44no—
243C23×C31—42no—
244C23×C31—42no—
245C23×C31—42no—
246C23×C31—42no—
247C23×C31—44no—
248C23×C31—44no—
249C23×C31—44no—
250C23×C31—82no—
251C23×C31—82no—
252C23×C31—82no—
253C23×C31—82no—
254C23×C31—88no—
255C23×C31—88no—
256C23×C31#12011yescharacteristic
257C23×C31#12011yescharacteristic
258C23×C31#12114yes—
259C23×C31C22×D411yescharacteristic
260Q8×C31—22no—
261Q8×C31—22no—
262Q8×C31—42no—
263Q8×C31—42no—
264D4×C31—24no—
265D4×C31—22no—
266D4×C31—24no—
267D4×C31—22no—
268D4×C31—48no—
269D4×C31—48no—
270D4×C31—44no—
271D4×C31—42no—
272D4×C31—42no—
273D4×C31—44no—
274D4×C31—42no—
275D4×C31—42no—
276D4×C31—84no—
277D4×C31—84no—
278C2×C4×C31—21no—
279C2×C4×C31—21no—
280C2×C4×C31—22no—
281C2×C4×C31—22no—
282C2×C4×C31—22no—
283C2×C4×C31—22no—
284C2×C4×C31—22no—
285C2×C4×C31—22no—
286C2×C4×C31—22no—
287C2×C4×C31—44no—
288C2×C4×C31—42no—
289C2×C4×C31—42no—
290C2×C4×C31—41no—
291C2×C4×C31—41no—
292C2×C4×C31—41no—
293C2×C4×C31—41no—
294C2×C4×C31—42no—
295C2×C4×C31—41no—
296C2×C4×C31—41no—
297C2×C4×C31—41no—
298C2×C4×C31—41no—
299C2×C4×C31—41no—
300C2×C4×C31—41no—
301C2×C4×C31—82no—
302C2×C4×C31—82no—
303C2×C4×C31#12012yes—
304C2×C4×C31C22×D411yescharacteristic
305C2×C4×C31C22×D412yes—
306C2×C4×C31C2×#4111yescharacteristic
307C2×C4×C31H(5,𝔽2)12yes—
308C8×C31—24no—
309C8×C31—42no—
310#3484C2×C3111yescharacteristic
311#3056C2×C3112yescomplemented
312C2×#455C2×C3111yescharacteristic, complemented
313C22×#100C2×C3111yescharacteristic, complemented
314#2435C2×C3111yescharacteristic, complemented
315#2037C2×C3112yescomplemented
316#2004C2×C3112yescomplemented
317#1885C2×C3111yescharacteristic, complemented
318#1871C2×C3112yescomplemented
319#1856C2×C3111yescharacteristic, complemented
320#1792C2×C3111yescharacteristic, complemented
321C22×C31—21no—
322C22×C31—21no—
323C22×C31—21no—
324C22×C31—21no—
325C22×C31—21no—
326C22×C31—24no—
327C22×C31—21no—
328C22×C31—21no—
329C22×C31—42no—
330C22×C31—42no—
331C22×C31—44no—
332C22×C31—44no—
333C22×C31—42no—
334C22×C31—42no—
335C22×C31—42no—
336C22×C31—42no—
337C22×C31—42no—
338C22×C31—42no—
339C22×C31—42no—
340C22×C31—42no—
341C22×C31—82no—
342C22×C31—88no—
343C22×C31—82no—
344C22×C31—88no—
345C22×C31—164no—
346C22×C31#45512yescomplemented
347C22×C31C2×#12011yescharacteristic
348C22×C31C2×#12111yescharacteristic
349C22×C31#53411yescharacteristic
350C4×C31—22no—
351C4×C31—42no—
352C4×C31—42no—
353C4×C31—42no—
354C4×C31—81no—
355C4×C31—81no—
356C4×C31—81no—
357C4×C31—81no—
358C4×C31D4212yes—
359C4×C31#54612yes—
360C2×H(5,𝔽2)C22×C3111yescharacteristic
361C23×D4C22×C3111yescharacteristic
362C2×#137C22×C3112yescomplemented
363C22×M16C22×C3112yescomplemented
364#546—22no—
365#546—22no—
366D42—22no—
367D42—22no—
368#535C22×C3112yes—
369#534—22no—
370C2×#124C22×C3111yescharacteristic
371C2×#124C22×C3111yescharacteristic, complemented
372#525C22×C3112yes—
373C2×C22⋊Q8C22×C3111yescharacteristic, complemented
374C2×#120—22no—
375#518C22×C3111yescharacteristic
376#470—22no—
377#468—22no—
378#467—22no—
379#465—22no—
380#455—24no—
381#428C22×C3112yescomplemented
382C2×#104C22×C3112yescomplemented
383C2×#104C22×C3112yescomplemented
384#419C22×C3112yescomplemented
385#417C22×C3112yescomplemented
386C2×#100—24no—
387C2×#100C22×C3111yescharacteristic
388C2×#100C22×C3111yescharacteristic
389C2×#100C22×C3112yescomplemented
390#394—22no—
391#390C22×C3111yescharacteristic
392#390C22×C3111yescharacteristic, complemented
393#379—22no—
394C4×C22⋊C4C22×C3111yescharacteristic, complemented
395#339C22×C3112yescomplemented
396#339C22×C3112yescomplemented
397C2×C31—21no—
398C2×C31—21no—
399C2×C31—22no—
400C2×C31—41no—
401C2×C31—44no—
402C2×C31—82no—
403C2×C31—82no—
404C2×C31#241011yescharacteristic
405C2×C31C2×#45511yescharacteristic
406C2×C31#301911yescharacteristic
407C25D4×C3112yes—
408H(5,𝔽2)—22no—
409H(5,𝔽2)—22no—
410H(5,𝔽2)—42no—
411C2×#41—22no—
412C2×#41C23×C3112yes—
413C22×Q8C23×C3111yescharacteristic
414C22×D4—22no—
415C22×D4—22no—
416C22×D4—22no—
417C22×D4—22no—
418C22×D4—22no—
419C22×D4—22no—
420C22×D4—22no—
421C22×D4—22no—
422C22×D4—42no—
423C22×D4D4×C3112yes—
424C22×D4C23×C3111yescharacteristic
425C22×D4C23×C3111yescharacteristic
426C23×C4C23×C3111yescharacteristic
427#137—24no—
428#137—42no—
429C2×Q16—22no—
430C2×SD16—22no—
431C2×M16—22no—
432C2×M16—24no—
433C2×M16—42no—
434C2×M16C23×C3112yes—
435C2×M16C23×C3112yes—
436C22×C8—22no—
437#127—22no—
438#124—22no—
439#124—22no—
440#124—22no—
441#124—42no—
442#123—24no—
443#123—22no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446C22⋊Q8D4×C3112yes—
447C22⋊Q8D4×C3112yes—
448#121—24no—
449#121—24no—
450#121—22no—
451#121—22no—
452#121D4×C3112yes—
453#121D4×C3112yes—
454#120—24no—
455#120—24no—
456#120—24no—
457#120—22no—
458#120—24no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—22no—
463#117C23×C3112yes—
464C2×C4⋊C4—21no—
465C2×C4⋊C4C23×C3111yescharacteristic
466C2×C22⋊C4—22no—
467C2×C22⋊C4—22no—
468C2×C22⋊C4—22no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—22no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4—22no—
475C2×C42C23×C3111yescharacteristic
476C2×C42C23×C3111yescharacteristic
477#107—22no—
478#106—22no—
479#104—24no—
480#104—42no—
481#103—22no—
482#103—22no—
483#103—22no—
484#102—22no—
485#100—22no—
486#100—24no—
487#100D4×C3114yescomplemented
488#95—21no—
489C31#2441311yescharacteristic, direct product factor, Sylow
490C24—22no—
491C24—22no—
492C24—22no—
493C24—24no—
494C24—42no—
495C24—44no—
496C24—82no—
497C24C2×D4×C3111yescharacteristic
498C24C2×D4×C3112yes—
499C24C2×D4×C3112yes—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—44no—
505#41—44no—
506C2×Q8—22no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—22no—
510C2×Q8C2×D4×C3112yes—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—24no—
515C2×D4—22no—
516C2×D4—24no—
517C2×D4—24no—
518C2×D4—24no—
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—21no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—44no—
526C2×D4—44no—
527C2×D4—44no—
528C2×D4—44no—
529C2×D4—42no—
530C2×D4—44no—
531C2×D4—44no—
532C2×D4—44no—
533C2×D4—44no—
534C2×D4—84no—
535C2×D4—84no—
536C2×D4C2×D4×C3112yes—
537C2×D4C2×D4×C3112yes—
538C2×D4#41×C3112yes—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4C2×D4×C3111yescharacteristic
551C22×C4C2×D4×C3112yes—
552C22×C4C2×D4×C3112yes—
553C22×C4C24×C3111yescharacteristic
554Q16—44no—
555SD16—44no—
556M16—22no—
557M16—22no—
558M16—22no—
559M16—44no—
560M16C2×D4×C3114yescomplemented
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—44no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—42no—
568C4⋊C4C2×D4×C3112yes—
569C4⋊C4C2×D4×C3112yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—42no—
579C22⋊C4—44no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—44no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C42—22no—
586C42—21no—
587C42—21no—
588C42—22no—
589C23—22no—
590C23—22no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—41no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—82no—
609C23—82no—
610C23—82no—
611C23—82no—
612C23—88no—
613C23—88no—
614C23C31×#12011yescharacteristic
615C23C31×#12011yescharacteristic
616C23C31×#12114yes—
617C23C22×D4×C3111yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—42no—
621Q8—42no—
622D4—24no—
623D4—22no—
624D4—24no—
625D4—22no—
626D4—48no—
627D4—48no—
628D4—44no—
629D4—44no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—84no—
635D4—84no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—44no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—82no—
660C2×C4—82no—
661C2×C4C31×#12012yes—
662C2×C4C22×D4×C3111yescharacteristic
663C2×C4C22×D4×C3112yes—
664C2×C4C2×#41×C3111yescharacteristic
665C2×C4C31×H(5,𝔽2)12yes—
666C8—24no—
667C8—42no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—24no—
674C22—21no—
675C22—21no—
676C22—42no—
677C22—42no—
678C22—44no—
679C22—44no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—82no—
689C22—88no—
690C22—82no—
691C22—88no—
692C22—164no—
693C22C31×#45512yescomplemented
694C22C2×C31×#12011yescharacteristic
695C22C2×C31×#12111yescharacteristic
696C22C31×#53411yescharacteristic
697C4—22no—
698C4—42no—
699C4—42no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—81no—
705C4D42×C3112yes—
706C4C31×#54612yes—
707C2—21no—
708C2—21no—
709C2—22no—
710C2—41no—
711C2—44no—
712C2—82no—
713C2—82no—
714C2C31×#241011yescharacteristic
715C2C2×C31×#45511yescharacteristic
716C2C31×#301911yescharacteristic
subgroupG/H
center, socleC22×C31C2×#120
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC31×#3484C2
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
2. C31×#3056C2semidirect
3. C2×C31×#455C2semidirect
4. C22×C31×#100C2semidirect
5. C31×#2435C2semidirect
6. C31×#2037C2semidirect
7. C31×#2004C2semidirect
8. C31×#1885C2semidirect
9. C31×#1871C2semidirect
10. C31×#1856C2semidirect
11. C31×#1792C2semidirect
14. C2×C31×#137C22semidirect
15. C22×M16×C31C22semidirect
23. C2×C31×#124C22semidirect
25. C2×C31×C22⋊Q8C22semidirect
33. C31×#428C22semidirect
34. C2×C31×#104C22semidirect
35. C2×C31×#104C22semidirect
36. C31×#419C22semidirect
37. C31×#417C22semidirect
41. C2×C31×#100C22semidirect
44. C31×#390C22semidirect
46. C4×C22⋊C4×C31C22semidirect
47. C31×#339C22semidirect
48. C31×#339C22semidirect
129. C31×#100D4semidirect
201. M16×C31C2×D4semidirect
230. #24413C31direct (N × H)
311. #3056C2×C31semidirect
312. C2×#455C2×C31semidirect
313. C22×#100C2×C31semidirect
314. #2435C2×C31semidirect
315. #2037C2×C31semidirect
316. #2004C2×C31semidirect
317. #1885C2×C31semidirect
318. #1871C2×C31semidirect
319. #1856C2×C31semidirect
320. #1792C2×C31semidirect
346. C22×C31#455semidirect
362. C2×#137C22×C31semidirect
363. C22×M16C22×C31semidirect
371. C2×#124C22×C31semidirect
373. C2×C22⋊Q8C22×C31semidirect
381. #428C22×C31semidirect
382. C2×#104C22×C31semidirect
383. C2×#104C22×C31semidirect
384. #419C22×C31semidirect
385. #417C22×C31semidirect
389. C2×#100C22×C31semidirect
392. #390C22×C31semidirect
394. C4×C22⋊C4C22×C31semidirect
395. #339C22×C31semidirect
396. #339C22×C31semidirect
487. #100D4×C31semidirect
489. C31#24413direct (N × H)
560. M16C2×D4×C31semidirect
693. C22C31×#455semidirect

Maximal subgroups

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

subgroupindex
C31×#34842
C31×#30562
C2×C31×#4552
C22×C31×#1002
C31×#24352
C31×#20372
C31×#20042
C31×#18852
C31×#18712
C31×#18562
C31×#17922
#2441331