Finite Group Databasebeta

← C31×#23927 #21480686

Subgroups — C31×#23927 #21480686

Order 7936.

1760 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#537C211yesmaximal, characteristic
2C2×C31×#536C211yesmaximal, characteristic, complemented
3C2×C31×#452C212yesmaximal, complemented
4C2×C31×#451C211yesmaximal, characteristic, complemented
5C2×C31×#448C211yesmaximal, characteristic, complemented
6C31×#2001C212yesmaximal, complemented
7C31×#2000C212yesmaximal, complemented
8C31×#1875C211yesmaximal, characteristic, complemented
9C31×#1873C211yesmaximal, characteristic, complemented
10C31×#1872C212yesmaximal, complemented
11C31×#1780C211yesmaximal, characteristic, complemented
12C22×#41×C31C2211yescharacteristic
13C22×#41×C31C2211yescharacteristic
14C23×Q8×C31C2211yescharacteristic
15C22×Q16×C31C2212yes—
16C22×SD16×C31C2212yes—
17C31×#537—24no—
18C31×#537—24no—
19C31×#536—28no—
20C2×C31×C4⋊Q8—21no—
21C2×C31×#124—21no—
22C2×C31×#123—21no—
23C2×C31×#123—21no—
24C2×C31×C22⋊Q8—21no—
25C2×C31×C22⋊Q8C2212yes—
26C2×C31×C22⋊Q8C2211yescharacteristic
27C2×C31×C22⋊Q8C2211yescharacteristic
28C2×C31×C22⋊Q8C2212yes—
29C2×C31×#121—21no—
30C2×C31×#121—21no—
31C2×C31×#121—21no—
32C2×C31×#121C2211yescharacteristic
33C2×C31×#121C2211yescharacteristic
34C2×C31×#117C2211yescharacteristic
35C22×C4⋊C4×C31C2211yescharacteristic
36C31×#452—28no—
37C31×#451—24no—
38C31×#448—24no—
39C2×C31×#103C2212yes—
40C2×C31×#103C2212yes—
41C2×C31×#103C2212yes—
42C2×C31×#102C2212yes—
43C2×C31×C22⋊C8C2212yes—
44C2×C31×C22⋊C8C2211yescharacteristic
45C2×C31×C22⋊C8C2211yescharacteristic
46C2×C31×C22⋊C8C2212yes—
47C31×#340C2212yes—
48C31×#340C2212yes—
49C2×#41×C31—22no—
50C2×#41×C31—22no—
51C2×#41×C31—24no—
52C2×#41×C31—22no—
53C2×#41×C31—22no—
54C2×#41×C31—24no—
55C2×#41×C31—42no—
56C2×#41×C31—42no—
57C22×Q8×C31—24no—
58C22×Q8×C31—21no—
59C22×Q8×C31—22no—
60C22×Q8×C31—22no—
61C22×Q8×C31—42no—
62C22×Q8×C31D411yescharacteristic
63C22×Q8×C31C2312yes—
64C22×Q8×C31C2311yescharacteristic
65C22×D4×C31—21no—
66C22×D4×C31—21no—
67C22×D4×C31—21no—
68C22×D4×C31D411yescharacteristic
69C22×D4×C31D411yescharacteristic
70C22×D4×C31D411yescharacteristic
71C22×D4×C31C2311yescharacteristic
72C23×C4×C31—21no—
73C23×C4×C31—21no—
74C23×C4×C31—21no—
75C23×C4×C31C2311yescharacteristic
76C23×C4×C31C2311yescharacteristic
77C23×C4×C31C2311yescharacteristic
78C2×Q16×C31—24no—
79C2×Q16×C31—24no—
80C2×Q16×C31—42no—
81C2×SD16×C31—24no—
82C2×SD16×C31—24no—
83C2×SD16×C31—42no—
84C22×C8×C31C2312yes—
85C22×C8×C31C2312yes—
86C31×C4⋊Q8—28no—
87C31×#124—28no—
88C31×#123—28no—
89C31×#123—28no—
90C31×C22⋊Q8—28no—
91C31×C22⋊Q8—24no—
92C31×C22⋊Q8—22no—
93C31×C22⋊Q8—24no—
94C31×C22⋊Q8—22no—
95C31×C22⋊Q8—24no—
96C31×C22⋊Q8—22no—
97C31×C22⋊Q8D414yes—
98C31×C22⋊Q8D418yescomplemented
99C31×#121—28no—
100C31×#121—28no—
101C31×#121—28no—
102C31×#121—22no—
103C31×#121—22no—
104C31×#121—22no—
105C31×#121D414yes—
106C31×#117—24no—
107C2×C4⋊C4×C31—21no—
108C2×C4⋊C4×C31—21no—
109C2×C4⋊C4×C31—21no—
110C2×C4⋊C4×C31—22no—
111C2×C4⋊C4×C31—22no—
112C2×C4⋊C4×C31—22no—
113C2×C4⋊C4×C31—22no—
114C2×C4⋊C4×C31C2312yes—
115C2×C4⋊C4×C31C2311yescharacteristic
116C2×C4⋊C4×C31C2311yescharacteristic
117C2×C22⋊C4×C31—21no—
118C2×C22⋊C4×C31—21no—
119C2×C22⋊C4×C31—21no—
120C2×C22⋊C4×C31—22no—
121C2×C22⋊C4×C31—22no—
122C2×C22⋊C4×C31—21no—
123C2×C22⋊C4×C31—21no—
124C2×C42×C31—21no—
125C31×#103—24no—
126C31×#103—24no—
127C31×#103—24no—
128C31×#102—24no—
129C31×C22⋊C8—22no—
130C31×C22⋊C8—22no—
131C31×C22⋊C8—24no—
132C31×C22⋊C8—42no—
133C24×C31—21no—
134C24×C31C2×D411yescharacteristic
135C24×C31C2×D411yescharacteristic
136C24×C31C2×D411yescharacteristic
137#41×C31—48no—
138#41×C31—48no—
139#41×C31—48no—
140#41×C31—48no—
141C2×Q8×C31—24no—
142C2×Q8×C31—22no—
143C2×Q8×C31—22no—
144C2×Q8×C31—22no—
145C2×Q8×C31—21no—
146C2×Q8×C31—22no—
147C2×Q8×C31—22no—
148C2×Q8×C31—22no—
149C2×Q8×C31—22no—
150C2×Q8×C31—22no—
151C2×Q8×C31—22no—
152C2×Q8×C31—41no—
153C2×Q8×C31—48no—
154C2×Q8×C31—48no—
155C2×Q8×C31—42no—
156C2×Q8×C31—42no—
157C2×Q8×C31C2×D412yes—
158C2×Q8×C31C2×D414yes—
159C2×D4×C31—24no—
160C2×D4×C31—22no—
161C2×D4×C31—22no—
162C2×D4×C31—22no—
163C2×D4×C31—22no—
164C2×D4×C31—24no—
165C2×D4×C31—24no—
166C2×D4×C31—22no—
167C2×D4×C31—22no—
168C2×D4×C31—22no—
169C2×D4×C31—21no—
170C2×D4×C31—22no—
171C2×D4×C31—41no—
172C2×D4×C31—41no—
173C2×D4×C31—41no—
174C2×D4×C31—42no—
175C2×D4×C31—42no—
176C2×D4×C31—82no—
177C2×D4×C31—82no—
178C2×D4×C31C2×D412yes—
179C22×C4×C31—21no—
180C22×C4×C31—21no—
181C22×C4×C31—22no—
182C22×C4×C31—22no—
183C22×C4×C31—22no—
184C22×C4×C31—24no—
185C22×C4×C31—24no—
186C22×C4×C31—22no—
187C22×C4×C31—21no—
188C22×C4×C31—21no—
189C22×C4×C31—21no—
190C22×C4×C31—22no—
191C22×C4×C31—24no—
192C22×C4×C31—21no—
193C22×C4×C31—21no—
194C22×C4×C31—22no—
195C22×C4×C31—22no—
196C22×C4×C31—42no—
197C22×C4×C31—42no—
198C22×C4×C31—42no—
199C22×C4×C31—42no—
200C22×C4×C31—82no—
201C22×C4×C31C2×D411yescharacteristic
202C22×C4×C31C2×D411yescharacteristic
203C22×C4×C31C2×D411yescharacteristic
204C22×C4×C31C2×D412yes—
205C22×C4×C31C2×D412yes—
206C22×C4×C31C2×D414yes—
207C22×C4×C31C2411yescharacteristic
208Q16×C31—48no—
209SD16×C31—48no—
210C2×C8×C31—22no—
211C2×C8×C31—22no—
212C2×C8×C31—22no—
213C2×C8×C31—22no—
214C2×C8×C31—22no—
215C2×C8×C31—22no—
216C4⋊C4×C31—24no—
217C4⋊C4×C31—24no—
218C4⋊C4×C31—28no—
219C4⋊C4×C31—24no—
220C4⋊C4×C31—28no—
221C4⋊C4×C31—21no—
222C4⋊C4×C31—21no—
223C4⋊C4×C31—22no—
224C4⋊C4×C31C2×D414yes—
225C4⋊C4×C31C2×D412yes—
226C4⋊C4×C31C2×D412yes—
227C22⋊C4×C31—24no—
228C22⋊C4×C31—24no—
229C22⋊C4×C31—24no—
230C22⋊C4×C31—28no—
231C22⋊C4×C31—24no—
232C22⋊C4×C31—28no—
233C22⋊C4×C31—24no—
234C42×C31—24no—
235#23927C3111yesmaximal, characteristic, direct product factor, Sylow
236C23×C31—21no—
237C23×C31—21no—
238C23×C31—21no—
239C23×C31—21no—
240C23×C31—22no—
241C23×C31—22no—
242C23×C31—22no—
243C23×C31—22no—
244C23×C31—21no—
245C23×C31—21no—
246C23×C31—22no—
247C23×C31—21no—
248C23×C31—22no—
249C23×C31—22no—
250C23×C31—41no—
251C23×C31—41no—
252C23×C31—42no—
253C23×C31—42no—
254C23×C31#12012yes—
255C23×C31#12012yes—
256C23×C31C22×D411yescharacteristic
257Q8×C31—24no—
258Q8×C31—24no—
259Q8×C31—24no—
260Q8×C31—44no—
261Q8×C31—48no—
262Q8×C31—42no—
263Q8×C31—42no—
264Q8×C31—42no—
265D4×C31—24no—
266D4×C31—44no—
267D4×C31—44no—
268D4×C31—44no—
269D4×C31—48no—
270D4×C31—42no—
271D4×C31—84no—
272D4×C31—84no—
273C2×C4×C31—21no—
274C2×C4×C31—21no—
275C2×C4×C31—21no—
276C2×C4×C31—21no—
277C2×C4×C31—24no—
278C2×C4×C31—24no—
279C2×C4×C31—24no—
280C2×C4×C31—24no—
281C2×C4×C31—24no—
282C2×C4×C31—22no—
283C2×C4×C31—22no—
284C2×C4×C31—22no—
285C2×C4×C31—24no—
286C2×C4×C31—21no—
287C2×C4×C31—21no—
288C2×C4×C31—21no—
289C2×C4×C31—48no—
290C2×C4×C31—48no—
291C2×C4×C31—41no—
292C2×C4×C31—42no—
293C2×C4×C31—41no—
294C2×C4×C31—42no—
295C2×C4×C31—42no—
296C2×C4×C31—42no—
297C2×C4×C31—42no—
298C2×C4×C31—42no—
299C2×C4×C31—42no—
300C2×C4×C31—42no—
301C2×C4×C31—84no—
302C2×C4×C31#12012yes—
303C2×C4×C31#12012yes—
304C2×C4×C31C22×D412yes—
305C2×C4×C31C22×D411yescharacteristic
306C2×C4×C31C22×D411yescharacteristic
307C2×C4×C31H(5,𝔽2)12yes—
308C8×C31—42no—
309C8×C31—42no—
310C2×#537C2×C3111yescharacteristic
311C2×#536C2×C3111yescharacteristic, complemented
312C2×#452C2×C3112yescomplemented
313C2×#451C2×C3111yescharacteristic, complemented
314C2×#448C2×C3111yescharacteristic, complemented
315#2001C2×C3112yescomplemented
316#2000C2×C3112yescomplemented
317#1875C2×C3111yescharacteristic, complemented
318#1873C2×C3111yescharacteristic, complemented
319#1872C2×C3112yescomplemented
320#1780C2×C3111yescharacteristic, complemented
321C22×C31—22no—
322C22×C31—22no—
323C22×C31—22no—
324C22×C31—22no—
325C22×C31—24no—
326C22×C31—42no—
327C22×C31—42no—
328C22×C31—41no—
329C22×C31—41no—
330C22×C31—42no—
331C22×C31—42no—
332C22×C31—41no—
333C22×C31—42no—
334C22×C31—41no—
335C22×C31—42no—
336C22×C31—41no—
337C22×C31—42no—
338C22×C31—42no—
339C22×C31—82no—
340C22×C31—82no—
341C22×C31C2×#12011yescharacteristic
342C22×C31C2×#12011yescharacteristic
343C22×C31#53411yescharacteristic
344C22×C31#57712yes—
345C22×C31#57812yes—
346C4×C31—22no—
347C4×C31—22no—
348C4×C31—41no—
349C4×C31—42no—
350C4×C31—44no—
351C4×C31—42no—
352C4×C31—42no—
353C4×C31—44no—
354C4×C31D4212yes—
355C4×C31D4212yes—
356C22×#41C22×C3111yescharacteristic
357C22×#41C22×C3111yescharacteristic
358C23×Q8C22×C3111yescharacteristic
359C22×Q16C22×C3112yes—
360C22×SD16C22×C3112yes—
361#537—24no—
362#537—24no—
363#536—28no—
364C2×C4⋊Q8—21no—
365C2×#124—21no—
366C2×#123—21no—
367C2×#123—21no—
368C2×C22⋊Q8—21no—
369C2×C22⋊Q8C22×C3112yes—
370C2×C22⋊Q8C22×C3111yescharacteristic
371C2×C22⋊Q8C22×C3111yescharacteristic
372C2×C22⋊Q8C22×C3112yes—
373C2×#121—21no—
374C2×#121—21no—
375C2×#121—21no—
376C2×#121C22×C3111yescharacteristic
377C2×#121C22×C3111yescharacteristic
378C2×#117C22×C3111yescharacteristic
379C22×C4⋊C4C22×C3111yescharacteristic
380#452—28no—
381#451—24no—
382#448—24no—
383C2×#103C22×C3112yes—
384C2×#103C22×C3112yes—
385C2×#103C22×C3112yes—
386C2×#102C22×C3112yes—
387C2×C22⋊C8C22×C3112yes—
388C2×C22⋊C8C22×C3111yescharacteristic
389C2×C22⋊C8C22×C3111yescharacteristic
390C2×C22⋊C8C22×C3112yes—
391#340C22×C3112yes—
392#340C22×C3112yes—
393C2×C31—42no—
394C2×C31—42no—
395C2×C31—81no—
396C2×C31—82no—
397C2×C31#240311yescharacteristic
398C2×C31#300911yescharacteristic
399C2×C31#301111yescharacteristic
400C2×C31#301312yes—
401C2×C31#320112yes—
402C2×#41—22no—
403C2×#41—22no—
404C2×#41—24no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—24no—
408C2×#41—42no—
409C2×#41—42no—
410C22×Q8—24no—
411C22×Q8—21no—
412C22×Q8—22no—
413C22×Q8—22no—
414C22×Q8—42no—
415C22×Q8D4×C3111yescharacteristic
416C22×Q8C23×C3112yes—
417C22×Q8C23×C3111yescharacteristic
418C22×D4—21no—
419C22×D4—21no—
420C22×D4—21no—
421C22×D4D4×C3111yescharacteristic
422C22×D4D4×C3111yescharacteristic
423C22×D4D4×C3111yescharacteristic
424C22×D4C23×C3111yescharacteristic
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4C23×C3111yescharacteristic
429C23×C4C23×C3111yescharacteristic
430C23×C4C23×C3111yescharacteristic
431C2×Q16—24no—
432C2×Q16—24no—
433C2×Q16—42no—
434C2×SD16—24no—
435C2×SD16—24no—
436C2×SD16—42no—
437C22×C8C23×C3112yes—
438C22×C8C23×C3112yes—
439C4⋊Q8—28no—
440#124—28no—
441#123—28no—
442#123—28no—
443C22⋊Q8—28no—
444C22⋊Q8—24no—
445C22⋊Q8—22no—
446C22⋊Q8—24no—
447C22⋊Q8—22no—
448C22⋊Q8—24no—
449C22⋊Q8—22no—
450C22⋊Q8D4×C3114yes—
451C22⋊Q8D4×C3118yescomplemented
452#121—28no—
453#121—28no—
454#121—28no—
455#121—22no—
456#121—22no—
457#121—22no—
458#121D4×C3114yes—
459#117—24no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—22no—
464C2×C4⋊C4—22no—
465C2×C4⋊C4—22no—
466C2×C4⋊C4—22no—
467C2×C4⋊C4C23×C3111yescharacteristic
468C2×C4⋊C4C23×C3111yescharacteristic
469C2×C4⋊C4C23×C3112yes—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—22no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C42—21no—
478#103—24no—
479#103—24no—
480#103—24no—
481#102—24no—
482C22⋊C8—22no—
483C22⋊C8—22no—
484C22⋊C8—24no—
485C22⋊C8—42no—
486C31#2392711yescharacteristic, direct product factor, Sylow
487C24—21no—
488C24C2×D4×C3111yescharacteristic
489C24C2×D4×C3111yescharacteristic
490C24C2×D4×C3111yescharacteristic
491#41—48no—
492#41—48no—
493#41—48no—
494#41—48no—
495C2×Q8—24no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—21no—
500C2×Q8—22no—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—22no—
506C2×Q8—41no—
507C2×Q8—48no—
508C2×Q8—48no—
509C2×Q8—42no—
510C2×Q8—42no—
511C2×Q8C2×D4×C3112yes—
512C2×Q8C2×D4×C3114yes—
513C2×D4—24no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—24no—
519C2×D4—24no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—21no—
524C2×D4—22no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—42no—
529C2×D4—42no—
530C2×D4—82no—
531C2×D4—82no—
532C2×D4C2×D4×C3112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—82no—
555C22×C4C2×D4×C3111yescharacteristic
556C22×C4C2×D4×C3111yescharacteristic
557C22×C4C2×D4×C3111yescharacteristic
558C22×C4C2×D4×C3112yes—
559C22×C4C2×D4×C3112yes—
560C22×C4C2×D4×C3114yes—
561C22×C4C24×C3111yescharacteristic
562Q16—48no—
563SD16—48no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—28no—
573C4⋊C4—24no—
574C4⋊C4—28no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—22no—
578C4⋊C4C2×D4×C3114yes—
579C4⋊C4C2×D4×C3112yes—
580C4⋊C4C2×D4×C3112yes—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—28no—
585C22⋊C4—24no—
586C22⋊C4—28no—
587C22⋊C4—24no—
588C42—24no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23C31×#12012yes—
608C23C31×#12012yes—
609C23C22×D4×C3111yescharacteristic
610Q8—24no—
611Q8—24no—
612Q8—24no—
613Q8—44no—
614Q8—48no—
615Q8—42no—
616Q8—42no—
617Q8—42no—
618D4—24no—
619D4—44no—
620D4—44no—
621D4—44no—
622D4—48no—
623D4—42no—
624D4—84no—
625D4—84no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—48no—
643C2×C4—48no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—84no—
655C2×C4C31×#12012yes—
656C2×C4C31×#12012yes—
657C2×C4C22×D4×C3112yes—
658C2×C4C22×D4×C3111yescharacteristic
659C2×C4C22×D4×C3111yescharacteristic
660C2×C4C31×H(5,𝔽2)12yes—
661C8—42no—
662C8—42no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—24no—
668C22—42no—
669C22—42no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—42no—
680C22—42no—
681C22—82no—
682C22—82no—
683C22C2×C31×#12011yescharacteristic
684C22C2×C31×#12011yescharacteristic
685C22C31×#53411yescharacteristic
686C22C31×#57712yes—
687C22C31×#57812yes—
688C4—22no—
689C4—22no—
690C4—41no—
691C4—42no—
692C4—44no—
693C4—42no—
694C4—42no—
695C4—44no—
696C4D42×C3112yes—
697C4D42×C3112yes—
698C2—42no—
699C2—42no—
700C2—81no—
701C2—82no—
702C2C31×#240311yescharacteristic
703C2C31×#300911yescharacteristic
704C2C31×#301111yescharacteristic
705C2C31×#301312yes—
706C2C31×#320112yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#537C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C22×#41×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C31×#536C2semidirect
3. C2×C31×#452C2semidirect
4. C2×C31×#451C2semidirect
5. C2×C31×#448C2semidirect
6. C31×#2001C2semidirect
7. C31×#2000C2semidirect
8. C31×#1875C2semidirect
9. C31×#1873C2semidirect
10. C31×#1872C2semidirect
11. C31×#1780C2semidirect
98. C31×C22⋊Q8D4semidirect
235. #23927C31direct (N × H)
311. C2×#536C2×C31semidirect
312. C2×#452C2×C31semidirect
313. C2×#451C2×C31semidirect
314. C2×#448C2×C31semidirect
315. #2001C2×C31semidirect
316. #2000C2×C31semidirect
317. #1875C2×C31semidirect
318. #1873C2×C31semidirect
319. #1872C2×C31semidirect
320. #1780C2×C31semidirect
451. C22⋊Q8D4×C31semidirect
486. C31#23927direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#5372
C2×C31×#5362
C2×C31×#4522
C2×C31×#4512
C2×C31×#4482
C31×#20012
C31×#20002
C31×#18752
C31×#18732
C31×#18722
C31×#17802
#2392731