Finite Group Databasebeta

← C31×#23936 #21480695

Subgroups — C31×#23936 #21480695

Order 7936.

1520 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#529C211yesmaximal, characteristic, complemented
2C2×C31×#450C211yesmaximal, characteristic, complemented
3C2×C31×#447C211yesmaximal, characteristic
4C2×C31×#390C211yesmaximal, characteristic, complemented
5C31×#2025C212yesmaximal, complemented
6C31×#2012C212yesmaximal, complemented
7C31×#1880C212yesmaximal, complemented
8C31×#1879C212yesmaximal, complemented
9C31×#1874C211yesmaximal, characteristic, complemented
10C31×#1872C211yesmaximal, characteristic, complemented
11C31×#1817C211yesmaximal, characteristic, complemented
12C23×D4×C31C2211yescharacteristic
13C22×SD16×C31C2212yes—
14C22×D8×C31C2212yes—
15C31×#529—24no—
16C31×#529—24no—
17C2×C31×#126—21no—
18C2×C31×#125C2211yescharacteristic, complemented
19C2×C31×#124C2211yescharacteristic, complemented
20C2×C31×#123—21no—
21C2×C31×C22⋊Q8C2211yescharacteristic
22C2×C31×#121C2211yescharacteristic
23C2×C4×Q8×C31C2211yescharacteristic, complemented
24C2×C4×D4×C31—21no—
25C2×C4×D4×C31C2211yescharacteristic, complemented
26C2×C31×#117—21no—
27C22×C4⋊C4×C31C2211yescharacteristic
28C22×C22⋊C4×C31—21no—
29C22×C22⋊C4×C31—21no—
30C22×C42×C31C2211yescharacteristic
31C31×#450—24no—
32C31×#447—24no—
33C2×C31×#103C2212yescomplemented
34C2×C31×#102C2212yes—
35C2×C31×#102C2212yes—
36C2×C31×#102C2212yescomplemented
37C2×C31×C22⋊C8C2211yescharacteristic
38C2×C31×C22⋊C8C2211yescharacteristic
39C31×#390—21no—
40C31×#390—21no—
41C31×#390C2212yes—
42C31×#390C2212yes—
43C31×#340C2212yescomplemented
44C31×#340C2212yescomplemented
45C31×#336C2212yescomplemented
46C31×#336C2212yescomplemented
47C25×C31—21no—
48C22×Q8×C31C2311yescharacteristic
49C22×D4×C31—21no—
50C22×D4×C31—24no—
51C22×D4×C31—21no—
52C22×D4×C31—22no—
53C22×D4×C31—22no—
54C22×D4×C31—42no—
55C22×D4×C31C2311yescharacteristic
56C22×D4×C31C2312yes—
57C23×C4×C31—21no—
58C23×C4×C31—21no—
59C23×C4×C31D411yescharacteristic
60C23×C4×C31D411yescharacteristic
61C23×C4×C31C2311yescharacteristic
62C2×SD16×C31—24no—
63C2×SD16×C31—24no—
64C2×SD16×C31—42no—
65C2×D8×C31—24no—
66C2×D8×C31—24no—
67C2×D8×C31—42no—
68C22×C8×C31C2312yes—
69C22×C8×C31C2312yes—
70C31×#126—28no—
71C31×#125—22no—
72C31×#125—22no—
73C31×#124—22no—
74C31×#124—22no—
75C31×#123—28no—
76C31×C22⋊Q8—22no—
77C31×C22⋊Q8D414yes—
78C31×#121—22no—
79C31×#121D414yes—
80C4×Q8×C31—22no—
81C4×Q8×C31—22no—
82C4×D4×C31—28no—
83C4×D4×C31—22no—
84C4×D4×C31—22no—
85C31×#117—28no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—42no—
92C2×C4⋊C4×C31C2312yes—
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C22⋊C4×C31—21no—
96C2×C22⋊C4×C31—21no—
97C2×C22⋊C4×C31—21no—
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—22no—
101C2×C22⋊C4×C31—22no—
102C2×C22⋊C4×C31—22no—
103C2×C22⋊C4×C31—22no—
104C2×C22⋊C4×C31—44no—
105C2×C22⋊C4×C31—44no—
106C2×C42×C31—22no—
107C2×C42×C31—22no—
108C2×C42×C31—21no—
109C2×C42×C31D411yescharacteristic
110C2×C42×C31D411yescharacteristic
111C2×C42×C31C2311yescharacteristic
112C2×C42×C31C2311yescharacteristic
113C31×#103—42no—
114C31×#102—24no—
115C31×#102—24no—
116C31×#102—42no—
117C31×C22⋊C8—22no—
118C31×C22⋊C8—22no—
119C24×C31—24no—
120C24×C31—21no—
121C24×C31—22no—
122C24×C31—42no—
123C24×C31—42no—
124C24×C31—42no—
125C24×C31—42no—
126C24×C31—42no—
127C24×C31—42no—
128C24×C31C2×D411yescharacteristic
129C2×Q8×C31—21no—
130C2×Q8×C31—22no—
131C2×Q8×C31—22no—
132C2×Q8×C31C2×D412yes—
133C2×D4×C31—24no—
134C2×D4×C31—24no—
135C2×D4×C31—22no—
136C2×D4×C31—22no—
137C2×D4×C31—21no—
138C2×D4×C31—22no—
139C2×D4×C31—22no—
140C2×D4×C31—22no—
141C2×D4×C31—22no—
142C2×D4×C31—22no—
143C2×D4×C31—48no—
144C2×D4×C31—48no—
145C2×D4×C31—42no—
146C2×D4×C31—42no—
147C2×D4×C31—42no—
148C2×D4×C31—42no—
149C2×D4×C31C2×D412yes—
150C2×D4×C31#4114yes—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
153C22×C4×C31—24no—
154C22×C4×C31—22no—
155C22×C4×C31—22no—
156C22×C4×C31—22no—
157C22×C4×C31—22no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
161C22×C4×C31—22no—
162C22×C4×C31—22no—
163C22×C4×C31—41no—
164C22×C4×C31—42no—
165C22×C4×C31—42no—
166C22×C4×C31—42no—
167C22×C4×C31—42no—
168C22×C4×C31—42no—
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2×D411yescharacteristic
173C22×C4×C31C2×D412yes—
174C22×C4×C31C2×D412yes—
175C22×C4×C31C2×D411yescharacteristic
176C22×C4×C31C2411yescharacteristic
177SD16×C31—48no—
178D8×C31—48no—
179C2×C8×C31—22no—
180C2×C8×C31—22no—
181C2×C8×C31—22no—
182C2×C8×C31—22no—
183C2×C8×C31—22no—
184C2×C8×C31—22no—
185C4⋊C4×C31—24no—
186C4⋊C4×C31—24no—
187C4⋊C4×C31—24no—
188C4⋊C4×C31—24no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—22no—
192C4⋊C4×C31—22no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31C2×D412yes—
195C4⋊C4×C31C2×D412yes—
196C22⋊C4×C31—24no—
197C22⋊C4×C31—24no—
198C22⋊C4×C31—24no—
199C22⋊C4×C31—24no—
200C22⋊C4×C31—24no—
201C22⋊C4×C31—44no—
202C22⋊C4×C31—44no—
203C22⋊C4×C31—44no—
204C22⋊C4×C31—44no—
205C42×C31—24no—
206C42×C31—22no—
207C42×C31—22no—
208C42×C31—21no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—21no—
212#23936C3111yesmaximal, characteristic, direct product factor, Sylow
213C23×C31—21no—
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—22no—
218C23×C31—24no—
219C23×C31—48no—
220C23×C31—48no—
221C23×C31—48no—
222C23×C31—42no—
223C23×C31—41no—
224C23×C31—42no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—41no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31—42no—
234C23×C31—84no—
235C23×C31—84no—
236C23×C31—84no—
237C23×C31—84no—
238C23×C31#12012yes—
239C23×C31#13512yes—
240C23×C31AGL(1,ℤ/8)12yes—
241C23×C31C22×D411yescharacteristic
242Q8×C31—24no—
243Q8×C31—42no—
244D4×C31—24no—
245D4×C31—24no—
246D4×C31—24no—
247D4×C31—48no—
248D4×C31—48no—
249D4×C31—42no—
250D4×C31—42no—
251D4×C31—42no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—21no—
256C2×C4×C31—24no—
257C2×C4×C31—24no—
258C2×C4×C31—21no—
259C2×C4×C31—21no—
260C2×C4×C31—21no—
261C2×C4×C31—22no—
262C2×C4×C31—22no—
263C2×C4×C31—22no—
264C2×C4×C31—21no—
265C2×C4×C31—21no—
266C2×C4×C31—21no—
267C2×C4×C31—21no—
268C2×C4×C31—21no—
269C2×C4×C31—21no—
270C2×C4×C31—44no—
271C2×C4×C31—48no—
272C2×C4×C31—41no—
273C2×C4×C31—41no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—44no—
279C2×C4×C31—42no—
280C2×C4×C31—42no—
281C2×C4×C31—42no—
282C2×C4×C31—84no—
283C2×C4×C31#12012yes—
284C2×C4×C31AGL(1,ℤ/8)12yes—
285C2×C4×C31C22×D411yescharacteristic
286C2×C4×C31C22×D411yescharacteristic
287C2×C4×C31C2×#4112yes—
288C2×C4×C31H(5,𝔽2)12yes—
289C8×C31—42no—
290C8×C31—42no—
291C2×#529C2×C3111yescharacteristic, complemented
292C2×#450C2×C3111yescharacteristic, complemented
293C2×#447C2×C3111yescharacteristic
294C2×#390C2×C3111yescharacteristic, complemented
295#2025C2×C3112yescomplemented
296#2012C2×C3112yescomplemented
297#1880C2×C3112yescomplemented
298#1879C2×C3112yescomplemented
299#1874C2×C3111yescharacteristic, complemented
300#1872C2×C3111yescharacteristic, complemented
301#1817C2×C3111yescharacteristic, complemented
302C22×C31—22no—
303C22×C31—22no—
304C22×C31—22no—
305C22×C31—22no—
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—44no—
309C22×C31—44no—
310C22×C31—44no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—42no—
314C22×C31—816no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31—82no—
319C22×C31—81no—
320C22×C31—82no—
321C22×C31—82no—
322C22×C31—82no—
323C22×C31#44914yes—
324C22×C31C2×#12011yescharacteristic
325C22×C31#52511yescharacteristic
326C22×C31#53511yescharacteristic
327C22×C31C2×#13511yescharacteristic
328C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
329C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
330C22×C31#57511yescharacteristic
331C4×C31—22no—
332C4×C31—22no—
333C4×C31—42no—
334C4×C31—41no—
335C4×C31—41no—
336C4×C31—42no—
337C4×C31—41no—
338C4×C31—42no—
339C4×C31—82no—
340C4×C31#54612yes—
341C4×C31#54612yes—
342C23×D4C22×C3111yescharacteristic
343C22×SD16C22×C3112yes—
344C22×D8C22×C3112yes—
345#529—24no—
346#529—24no—
347C2×#126—21no—
348C2×#125C22×C3111yescharacteristic, complemented
349C2×#124C22×C3111yescharacteristic, complemented
350C2×#123—21no—
351C2×C22⋊Q8C22×C3111yescharacteristic
352C2×#121C22×C3111yescharacteristic
353C2×C4×Q8C22×C3111yescharacteristic, complemented
354C2×C4×D4—21no—
355C2×C4×D4C22×C3111yescharacteristic, complemented
356C2×#117—21no—
357C22×C4⋊C4C22×C3111yescharacteristic
358C22×C22⋊C4—21no—
359C22×C22⋊C4—21no—
360C22×C42C22×C3111yescharacteristic
361#450—24no—
362#447—24no—
363C2×#103C22×C3112yescomplemented
364C2×#102C22×C3112yes—
365C2×#102C22×C3112yes—
366C2×#102C22×C3112yescomplemented
367C2×C22⋊C8C22×C3111yescharacteristic
368C2×C22⋊C8C22×C3111yescharacteristic
369#390—21no—
370#390—21no—
371#390C22×C3112yes—
372#390C22×C3112yes—
373#340C22×C3112yescomplemented
374#340C22×C3112yescomplemented
375#336C22×C3112yescomplemented
376#336C22×C3112yescomplemented
377C2×C31—24no—
378C2×C31—82no—
379C2×C31—84no—
380C2×C31#240411yescharacteristic
381C2×C31C2×#44911yescharacteristic
382C2×C31#300611yescharacteristic
383C2×C31#310511yescharacteristic
384C2×C31#311411yescharacteristic
385C2×C31#321111yescharacteristic
386C2×C31#321711yescharacteristic
387C25—21no—
388C22×Q8C23×C3111yescharacteristic
389C22×D4—21no—
390C22×D4—24no—
391C22×D4—21no—
392C22×D4—22no—
393C22×D4—22no—
394C22×D4—42no—
395C22×D4C23×C3111yescharacteristic
396C22×D4C23×C3112yes—
397C23×C4—21no—
398C23×C4—21no—
399C23×C4D4×C3111yescharacteristic
400C23×C4D4×C3111yescharacteristic
401C23×C4C23×C3111yescharacteristic
402C2×SD16—24no—
403C2×SD16—24no—
404C2×SD16—42no—
405C2×D8—24no—
406C2×D8—24no—
407C2×D8—42no—
408C22×C8C23×C3112yes—
409C22×C8C23×C3112yes—
410#126—28no—
411#125—22no—
412#125—22no—
413#124—22no—
414#124—22no—
415#123—28no—
416C22⋊Q8—22no—
417C22⋊Q8D4×C3114yes—
418#121—22no—
419#121D4×C3114yes—
420C4×Q8—22no—
421C4×Q8—22no—
422C4×D4—28no—
423C4×D4—22no—
424C4×D4—22no—
425#117—28no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—42no—
432C2×C4⋊C4C23×C3112yes—
433C2×C4⋊C4C23×C3111yescharacteristic
434C2×C4⋊C4C23×C3111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—44no—
445C2×C22⋊C4—44no—
446C2×C42—21no—
447C2×C42—22no—
448C2×C42—22no—
449C2×C42D4×C3111yescharacteristic
450C2×C42D4×C3111yescharacteristic
451C2×C42C23×C3111yescharacteristic
452C2×C42C23×C3111yescharacteristic
453#103—42no—
454#102—24no—
455#102—24no—
456#102—42no—
457C22⋊C8—22no—
458C22⋊C8—22no—
459C31#2393611yescharacteristic, direct product factor, Sylow
460C24—24no—
461C24—21no—
462C24—22no—
463C24—42no—
464C24—42no—
465C24—42no—
466C24—42no—
467C24—42no—
468C24—42no—
469C24C2×D4×C3111yescharacteristic
470C2×Q8—21no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8C2×D4×C3112yes—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—21no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—48no—
485C2×D4—48no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4C2×D4×C3112yes—
491C2×D4#41×C3114yes—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—41no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4C2×D4×C3111yescharacteristic
511C22×C4C2×D4×C3111yescharacteristic
512C22×C4C2×D4×C3111yescharacteristic
513C22×C4C2×D4×C3111yescharacteristic
514C22×C4C2×D4×C3112yes—
515C22×C4C2×D4×C3112yes—
516C22×C4C2×D4×C3111yescharacteristic
517C22×C4C24×C3111yescharacteristic
518SD16—48no—
519D8—48no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—42no—
535C4⋊C4C2×D4×C3112yes—
536C4⋊C4C2×D4×C3112yes—
537C22⋊C4—24no—
538C22⋊C4—24no—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—44no—
543C22⋊C4—44no—
544C22⋊C4—44no—
545C22⋊C4—44no—
546C42—24no—
547C42—22no—
548C42—22no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—22no—
558C23—24no—
559C23—48no—
560C23—48no—
561C23—48no—
562C23—42no—
563C23—41no—
564C23—42no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—42no—
574C23—84no—
575C23—84no—
576C23—84no—
577C23—84no—
578C23C31×#12012yes—
579C23C31×#13512yes—
580C23C31×AGL(1,ℤ/8)12yes—
581C23C22×D4×C3111yescharacteristic
582Q8—24no—
583Q8—42no—
584D4—24no—
585D4—24no—
586D4—24no—
587D4—48no—
588D4—48no—
589D4—42no—
590D4—42no—
591D4—42no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—44no—
611C2×C4—48no—
612C2×C4—44no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—84no—
623C2×C4C31×#12012yes—
624C2×C4C31×AGL(1,ℤ/8)12yes—
625C2×C4C22×D4×C3111yescharacteristic
626C2×C4C22×D4×C3111yescharacteristic
627C2×C4C2×#41×C3112yes—
628C2×C4C31×H(5,𝔽2)12yes—
629C8—42no—
630C8—42no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—816no—
644C22—81no—
645C22—81no—
646C22—82no—
647C22—81no—
648C22—82no—
649C22—81no—
650C22—82no—
651C22—82no—
652C22C31×#44914yes—
653C22C2×C31×#12011yescharacteristic
654C22C31×#52511yescharacteristic
655C22C31×#53511yescharacteristic
656C22C2×C31×#13511yescharacteristic
657C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
658C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
659C22C31×#57511yescharacteristic
660C4—22no—
661C4—22no—
662C4—42no—
663C4—41no—
664C4—41no—
665C4—42no—
666C4—41no—
667C4—42no—
668C4—82no—
669C4C31×#54612yes—
670C4C31×#54612yes—
671C2—24no—
672C2—84no—
673C2—82no—
674C2C31×#240411yescharacteristic
675C2C2×C31×#44911yescharacteristic
676C2C31×#300611yescharacteristic
677C2C31×#310511yescharacteristic
678C2C31×#311411yescharacteristic
679C2C31×#321111yescharacteristic
680C2C31×#321711yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#447C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×C42×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#529C2semidirect
2. C2×C31×#450C2semidirect
4. C2×C31×#390C2semidirect
5. C31×#2025C2semidirect
6. C31×#2012C2semidirect
7. C31×#1880C2semidirect
8. C31×#1879C2semidirect
9. C31×#1874C2semidirect
10. C31×#1872C2semidirect
11. C31×#1817C2semidirect
18. C2×C31×#125C22semidirect
19. C2×C31×#124C22semidirect
23. C2×C4×Q8×C31C22semidirect
25. C2×C4×D4×C31C22semidirect
33. C2×C31×#103C22semidirect
36. C2×C31×#102C22semidirect
43. C31×#340C22semidirect
44. C31×#340C22semidirect
45. C31×#336C22semidirect
46. C31×#336C22semidirect
212. #23936C31direct (N × H)
291. C2×#529C2×C31semidirect
292. C2×#450C2×C31semidirect
294. C2×#390C2×C31semidirect
295. #2025C2×C31semidirect
296. #2012C2×C31semidirect
297. #1880C2×C31semidirect
298. #1879C2×C31semidirect
299. #1874C2×C31semidirect
300. #1872C2×C31semidirect
301. #1817C2×C31semidirect
348. C2×#125C22×C31semidirect
349. C2×#124C22×C31semidirect
353. C2×C4×Q8C22×C31semidirect
355. C2×C4×D4C22×C31semidirect
363. C2×#103C22×C31semidirect
366. C2×#102C22×C31semidirect
373. #340C22×C31semidirect
374. #340C22×C31semidirect
375. #336C22×C31semidirect
376. #336C22×C31semidirect
459. C31#23936direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5292
C2×C31×#4502
C2×C31×#4472
C2×C31×#3902
C31×#20252
C31×#20122
C31×#18802
C31×#18792
C31×#18742
C31×#18722
C31×#18172
#2393631