Finite Group Databasebeta

← C31×#23960 #21480719

Subgroups — C31×#23960 #21480719

Order 7936.

1690 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#547C211yesmaximal, characteristic, complemented
2C2×C31×#447C211yesmaximal, characteristic, complemented
3C22×C31×#102C211yesmaximal, characteristic, complemented
4C31×#2408C211yesmaximal, characteristic, complemented
5C31×#2023C212yesmaximal, complemented
6C31×#1999C212yesmaximal, complemented
7C31×#1893C211yesmaximal, characteristic, complemented
8C31×#1879C212yesmaximal, complemented
9C31×#1874C212yesmaximal, complemented
10C31×#1869C211yesmaximal, characteristic, complemented
11C31×#1823C211yesmaximal, characteristic, complemented
12C22×#41×C31—21no—
13C23×D4×C31C2211yescharacteristic
14C22×D8×C31C2212yes—
15C23×C8×C31C2211yescharacteristic
16C31×#547—24no—
17C31×#547—24no—
18C2×C31×C4⋊Q8C2211yescharacteristic, complemented
19C2×C31×#123—21no—
20C2×C31×#123—21no—
21C2×C31×C22⋊Q8—21no—
22C2×C31×#121C2212yes—
23C2×C31×#121C2211yescharacteristic
24C2×C31×#121C2211yescharacteristic, complemented
25C2×C31×#120—21no—
26C2×C4×D4×C31C2211yescharacteristic
27C2×C4×D4×C31C2211yescharacteristic, complemented
28C22×C4⋊C4×C31C2211yescharacteristic
29C22×C4⋊C4×C31C2211yescharacteristic, complemented
30C31×#447—24no—
31C2×C31×#102—24no—
32C2×C31×#102C2212yes—
33C2×C31×#102C2212yes—
34C2×C31×#102C2212yes—
35C2×C31×#102C2212yescomplemented
36C2×C31×C22⋊C8C2211yescharacteristic
37C2×C31×C22⋊C8C2212yescomplemented
38C31×#394—21no—
39C31×#392—21no—
40C31×#390C2212yes—
41C31×#380C2211yescharacteristic
42C31×#379—21no—
43C31×#340C2212yescomplemented
44C31×#340C2212yescomplemented
45C31×#340C2212yescomplemented
46C31×#336C2212yescomplemented
47C25×C31—21no—
48C2×#41×C31—28no—
49C2×#41×C31—44no—
50C2×#41×C31—44no—
51C22×Q8×C31—21no—
52C22×D4×C31—24no—
53C22×D4×C31—21no—
54C22×D4×C31—21no—
55C22×D4×C31—22no—
56C22×D4×C31—22no—
57C22×D4×C31—22no—
58C22×D4×C31—21no—
59C22×D4×C31—42no—
60C22×D4×C31D411yescharacteristic
61C22×D4×C31C2311yescharacteristic
62C22×D4×C31C2312yes—
63C23×C4×C31—21no—
64C23×C4×C31—21no—
65C23×C4×C31—21no—
66C23×C4×C31C2311yescharacteristic
67C23×C4×C31C2311yescharacteristic
68C2×D8×C31—24no—
69C2×D8×C31—24no—
70C2×D8×C31—42no—
71C22×C8×C31—22no—
72C22×C8×C31—42no—
73C22×C8×C31C2312yes—
74C22×C8×C31C2312yes—
75C31×C4⋊Q8—22no—
76C31×C4⋊Q8—22no—
77C31×#123—28no—
78C31×#123—28no—
79C31×C22⋊Q8—28no—
80C31×#121—22no—
81C31×#121—22no—
82C31×#121—22no—
83C31×#121—24no—
84C31×#121—42no—
85C31×#121D414yescomplemented
86C31×#120—44no—
87C4×D4×C31—22no—
88C4×D4×C31—22no—
89C4×D4×C31—22no—
90C4×D4×C31—22no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—22no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31—21no—
95C2×C4⋊C4×C31—22no—
96C2×C4⋊C4×C31—22no—
97C2×C4⋊C4×C31D411yescharacteristic
98C2×C4⋊C4×C31D414yescomplemented
99C2×C4⋊C4×C31C2312yes—
100C2×C4⋊C4×C31C2311yescharacteristic
101C2×C4⋊C4×C31C2311yescharacteristic
102C2×C4⋊C4×C31C2311yescharacteristic
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C22⋊C4×C31—21no—
106C2×C22⋊C4×C31—21no—
107C2×C22⋊C4×C31—22no—
108C2×C22⋊C4×C31—22no—
109C2×C22⋊C4×C31—22no—
110C2×C22⋊C4×C31D411yescharacteristic
111C2×C22⋊C4×C31D411yescharacteristic
112C2×C42×C31C2311yescharacteristic
113C31×#102—24no—
114C31×#102—24no—
115C31×#102—24no—
116C31×#102—42no—
117C31×C22⋊C8—22no—
118C31×C22⋊C8—42no—
119C31×#95—21no—
120C24×C31—21no—
121C24×C31—22no—
122C24×C31—44no—
123C24×C31—42no—
124C24×C31—42no—
125C24×C31—42no—
126C24×C31—82no—
127C24×C31C2×D411yescharacteristic
128C24×C31C2×D411yescharacteristic
129#41×C31—432no—
130C2×Q8×C31—24no—
131C2×Q8×C31—42no—
132C2×Q8×C31—42no—
133C2×D4×C31—22no—
134C2×D4×C31—22no—
135C2×D4×C31—28no—
136C2×D4×C31—24no—
137C2×D4×C31—24no—
138C2×D4×C31—22no—
139C2×D4×C31—22no—
140C2×D4×C31—21no—
141C2×D4×C31—22no—
142C2×D4×C31—22no—
143C2×D4×C31—22no—
144C2×D4×C31—22no—
145C2×D4×C31—22no—
146C2×D4×C31—48no—
147C2×D4×C31—44no—
148C2×D4×C31—44no—
149C2×D4×C31—42no—
150C2×D4×C31—42no—
151C2×D4×C31—42no—
152C2×D4×C31—42no—
153C2×D4×C31—44no—
154C2×D4×C31—44no—
155C2×D4×C31—42no—
156C2×D4×C31—82no—
157C2×D4×C31D814yescomplemented
158C2×D4×C31C2×D412yes—
159C2×D4×C31#4114yescomplemented
160C22×C4×C31—22no—
161C22×C4×C31—22no—
162C22×C4×C31—24no—
163C22×C4×C31—24no—
164C22×C4×C31—24no—
165C22×C4×C31—21no—
166C22×C4×C31—21no—
167C22×C4×C31—21no—
168C22×C4×C31—21no—
169C22×C4×C31—21no—
170C22×C4×C31—22no—
171C22×C4×C31—22no—
172C22×C4×C31—22no—
173C22×C4×C31—42no—
174C22×C4×C31—42no—
175C22×C4×C31—42no—
176C22×C4×C31—42no—
177C22×C4×C31—42no—
178C22×C4×C31—42no—
179C22×C4×C31C2×D411yescharacteristic
180C22×C4×C31C2×D411yescharacteristic
181C22×C4×C31C2×D411yescharacteristic
182C22×C4×C31C2×D412yes—
183C22×C4×C31C2×D412yes—
184C22×C4×C31C2×D411yescharacteristic
185C22×C4×C31C2411yescharacteristic
186D8×C31—48no—
187C2×C8×C31—22no—
188C2×C8×C31—22no—
189C2×C8×C31—22no—
190C2×C8×C31—22no—
191C2×C8×C31—22no—
192C2×C8×C31—22no—
193C2×C8×C31—44no—
194C4⋊C4×C31—24no—
195C4⋊C4×C31—24no—
196C4⋊C4×C31—24no—
197C4⋊C4×C31—22no—
198C4⋊C4×C31—21no—
199C4⋊C4×C31—21no—
200C4⋊C4×C31—21no—
201C4⋊C4×C31—22no—
202C4⋊C4×C31—22no—
203C4⋊C4×C31C2×D412yes—
204C4⋊C4×C31C2×D412yes—
205C4⋊C4×C31C2×D412yes—
206C22⋊C4×C31—24no—
207C22⋊C4×C31—24no—
208C22⋊C4×C31—22no—
209C22⋊C4×C31—24no—
210C22⋊C4×C31—22no—
211C22⋊C4×C31—44no—
212C22⋊C4×C31—42no—
213C22⋊C4×C31—44no—
214C22⋊C4×C31—82no—
215C42×C31—21no—
216C42×C31—21no—
217#23960C3111yesmaximal, characteristic, direct product factor, Sylow
218C23×C31—22no—
219C23×C31—22no—
220C23×C31—21no—
221C23×C31—22no—
222C23×C31—21no—
223C23×C31—22no—
224C23×C31—22no—
225C23×C31—24no—
226C23×C31—48no—
227C23×C31—42no—
228C23×C31—42no—
229C23×C31—42no—
230C23×C31—42no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31—42no—
234C23×C31—42no—
235C23×C31—42no—
236C23×C31—42no—
237C23×C31—88no—
238C23×C31—88no—
239C23×C31—84no—
240C23×C31—84no—
241C23×C31#12012yes—
242C23×C31C2×D812yes—
243C23×C31C2×D812yes—
244C23×C31AGL(1,ℤ/8)12yes—
245C23×C31C22×D411yescharacteristic
246Q8×C31—48no—
247D4×C31—28no—
248D4×C31—24no—
249D4×C31—24no—
250D4×C31—24no—
251D4×C31—48no—
252D4×C31—48no—
253D4×C31—48no—
254D4×C31—41no—
255D4×C31—41no—
256D4×C31—42no—
257D4×C31—42no—
258D4×C31—88no—
259C2×C4×C31—21no—
260C2×C4×C31—22no—
261C2×C4×C31—21no—
262C2×C4×C31—22no—
263C2×C4×C31—22no—
264C2×C4×C31—24no—
265C2×C4×C31—21no—
266C2×C4×C31—21no—
267C2×C4×C31—22no—
268C2×C4×C31—22no—
269C2×C4×C31—22no—
270C2×C4×C31—22no—
271C2×C4×C31—22no—
272C2×C4×C31—48no—
273C2×C4×C31—48no—
274C2×C4×C31—41no—
275C2×C4×C31—41no—
276C2×C4×C31—41no—
277C2×C4×C31—41no—
278C2×C4×C31—41no—
279C2×C4×C31—41no—
280C2×C4×C31—48no—
281C2×C4×C31—41no—
282C2×C4×C31—41no—
283C2×C4×C31—42no—
284C2×C4×C31—42no—
285C2×C4×C31—42no—
286C2×C4×C31—42no—
287C2×C4×C31#12012yes—
288C2×C4×C31C2×D812yes—
289C2×C4×C31C22×D411yescharacteristic
290C2×C4×C31C22×D411yescharacteristic
291C2×C4×C31C2×#4112yes—
292C2×C4×C31H(5,𝔽2)12yes—
293C8×C31—42no—
294C8×C31—42no—
295C2×#547C2×C3111yescharacteristic, complemented
296C2×#447C2×C3111yescharacteristic, complemented
297C22×#102C2×C3111yescharacteristic, complemented
298#2408C2×C3111yescharacteristic, complemented
299#2023C2×C3112yescomplemented
300#1999C2×C3112yescomplemented
301#1893C2×C3111yescharacteristic, complemented
302#1879C2×C3112yescomplemented
303#1874C2×C3112yescomplemented
304#1869C2×C3111yescharacteristic, complemented
305#1823C2×C3111yescharacteristic, complemented
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—24no—
309C22×C31—24no—
310C22×C31—22no—
311C22×C31—24no—
312C22×C31—41no—
313C22×C31—41no—
314C22×C31—42no—
315C22×C31—44no—
316C22×C31—42no—
317C22×C31—42no—
318C22×C31—42no—
319C22×C31—44no—
320C22×C31—44no—
321C22×C31—816no—
322C22×C31—82no—
323C22×C31—82no—
324C22×C31—82no—
325C22×C31—82no—
326C22×C31—82no—
327C22×C31—82no—
328C22×C31#44714yes—
329C22×C31C2×#12011yescharacteristic
330C22×C31#54612yes—
331C22×C31C22×D811yescharacteristic
332C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C31#57712yes—
334C4×C31—22no—
335C4×C31—22no—
336C4×C31—41no—
337C4×C31—42no—
338C4×C31—42no—
339C4×C31—42no—
340C4×C31—41no—
341C4×C31—82no—
342C4×C31#52511yescharacteristic
343C4×C31#53511yescharacteristic
344C4×C31#54612yes—
345C22×#41—21no—
346C23×D4C22×C3111yescharacteristic
347C22×D8C22×C3112yes—
348C23×C8C22×C3111yescharacteristic
349#547—24no—
350#547—24no—
351C2×C4⋊Q8C22×C3111yescharacteristic, complemented
352C2×#123—21no—
353C2×#123—21no—
354C2×C22⋊Q8—21no—
355C2×#121C22×C3112yes—
356C2×#121C22×C3111yescharacteristic
357C2×#121C22×C3111yescharacteristic, complemented
358C2×#120—21no—
359C2×C4×D4C22×C3111yescharacteristic
360C2×C4×D4C22×C3111yescharacteristic, complemented
361C22×C4⋊C4C22×C3111yescharacteristic
362C22×C4⋊C4C22×C3111yescharacteristic, complemented
363#447—24no—
364C2×#102—24no—
365C2×#102C22×C3112yes—
366C2×#102C22×C3112yes—
367C2×#102C22×C3112yes—
368C2×#102C22×C3112yescomplemented
369C2×C22⋊C8C22×C3111yescharacteristic
370C2×C22⋊C8C22×C3112yescomplemented
371#394—21no—
372#392—21no—
373#390C22×C3112yes—
374#380C22×C3111yescharacteristic
375#379—21no—
376#340C22×C3112yescomplemented
377#340C22×C3112yescomplemented
378#340C22×C3112yescomplemented
379#336C22×C3112yescomplemented
380C2×C31—24no—
381C2×C31—42no—
382C2×C31—82no—
383C2×C31—84no—
384C2×C31#240411yescharacteristic
385C2×C31C2×#44711yescharacteristic
386C2×C31#301011yescharacteristic
387C2×C31#329412yes—
388C2×C31#330612yes—
389C25—21no—
390C2×#41—28no—
391C2×#41—44no—
392C2×#41—44no—
393C22×Q8—21no—
394C22×D4—24no—
395C22×D4—21no—
396C22×D4—21no—
397C22×D4—22no—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—21no—
401C22×D4—42no—
402C22×D4D4×C3111yescharacteristic
403C22×D4C23×C3111yescharacteristic
404C22×D4C23×C3112yes—
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—21no—
408C23×C4C23×C3111yescharacteristic
409C23×C4C23×C3111yescharacteristic
410C2×D8—24no—
411C2×D8—24no—
412C2×D8—42no—
413C22×C8—22no—
414C22×C8—42no—
415C22×C8C23×C3112yes—
416C22×C8C23×C3112yes—
417C4⋊Q8—22no—
418C4⋊Q8—22no—
419#123—28no—
420#123—28no—
421C22⋊Q8—28no—
422#121—22no—
423#121—22no—
424#121—22no—
425#121—24no—
426#121—42no—
427#121D4×C3114yescomplemented
428#120—44no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4D4×C3111yescharacteristic
440C2×C4⋊C4D4×C3114yescomplemented
441C2×C4⋊C4C23×C3112yes—
442C2×C4⋊C4C23×C3111yescharacteristic
443C2×C4⋊C4C23×C3111yescharacteristic
444C2×C4⋊C4C23×C3111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4—22no—
451C2×C22⋊C4—22no—
452C2×C22⋊C4D4×C3111yescharacteristic
453C2×C22⋊C4D4×C3111yescharacteristic
454C2×C42C23×C3111yescharacteristic
455#102—24no—
456#102—24no—
457#102—24no—
458#102—42no—
459C22⋊C8—22no—
460C22⋊C8—42no—
461#95—21no—
462C31#2396011yescharacteristic, direct product factor, Sylow
463C24—21no—
464C24—22no—
465C24—44no—
466C24—42no—
467C24—42no—
468C24—42no—
469C24—82no—
470C24C2×D4×C3111yescharacteristic
471C24C2×D4×C3111yescharacteristic
472#41—432no—
473C2×Q8—24no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—28no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—21no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—48no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—42no—
499C2×D4—82no—
500C2×D4D8×C3114yescomplemented
501C2×D4C2×D4×C3112yes—
502C2×D4#41×C3114yescomplemented
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4C2×D4×C3111yescharacteristic
523C22×C4C2×D4×C3111yescharacteristic
524C22×C4C2×D4×C3111yescharacteristic
525C22×C4C2×D4×C3112yes—
526C22×C4C2×D4×C3112yes—
527C22×C4C2×D4×C3111yescharacteristic
528C22×C4C24×C3111yescharacteristic
529D8—48no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—44no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4C2×D4×C3112yes—
547C4⋊C4C2×D4×C3112yes—
548C4⋊C4C2×D4×C3112yes—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—22no—
552C22⋊C4—24no—
553C22⋊C4—22no—
554C22⋊C4—44no—
555C22⋊C4—42no—
556C22⋊C4—44no—
557C22⋊C4—82no—
558C42—21no—
559C42—21no—
560C23—22no—
561C23—22no—
562C23—21no—
563C23—22no—
564C23—21no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—48no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—41no—
574C23—41no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—88no—
580C23—88no—
581C23—84no—
582C23—84no—
583C23C31×#12012yes—
584C23C2×D8×C3112yes—
585C23C2×D8×C3112yes—
586C23C31×AGL(1,ℤ/8)12yes—
587C23C22×D4×C3111yescharacteristic
588Q8—48no—
589D4—28no—
590D4—24no—
591D4—24no—
592D4—24no—
593D4—48no—
594D4—48no—
595D4—48no—
596D4—41no—
597D4—41no—
598D4—42no—
599D4—42no—
600D4—88no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—48no—
615C2×C4—48no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4C31×#12012yes—
630C2×C4C2×D8×C3112yes—
631C2×C4C22×D4×C3111yescharacteristic
632C2×C4C22×D4×C3111yescharacteristic
633C2×C4C2×#41×C3112yes—
634C2×C4C31×H(5,𝔽2)12yes—
635C8—42no—
636C8—42no—
637C22—22no—
638C22—22no—
639C22—24no—
640C22—24no—
641C22—22no—
642C22—24no—
643C22—41no—
644C22—41no—
645C22—42no—
646C22—44no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—44no—
651C22—44no—
652C22—816no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—82no—
659C22C31×#44714yes—
660C22C2×C31×#12011yescharacteristic
661C22C31×#54612yes—
662C22C22×D8×C3111yescharacteristic
663C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
664C22C31×#57712yes—
665C4—22no—
666C4—22no—
667C4—41no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—41no—
672C4—82no—
673C4C31×#52511yescharacteristic
674C4C31×#53511yescharacteristic
675C4C31×#54612yes—
676C2—24no—
677C2—42no—
678C2—84no—
679C2—82no—
680C2C31×#240411yescharacteristic
681C2C2×C31×#44711yescharacteristic
682C2C31×#301011yescharacteristic
683C2C31×#329412yes—
684C2C31×#330612yes—
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C2×C4×D4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#547C2semidirect
2. C2×C31×#447C2semidirect
3. C22×C31×#102C2semidirect
4. C31×#2408C2semidirect
5. C31×#2023C2semidirect
6. C31×#1999C2semidirect
7. C31×#1893C2semidirect
8. C31×#1879C2semidirect
9. C31×#1874C2semidirect
10. C31×#1869C2semidirect
11. C31×#1823C2semidirect
18. C2×C31×C4⋊Q8C22semidirect
24. C2×C31×#121C22semidirect
27. C2×C4×D4×C31C22semidirect
29. C22×C4⋊C4×C31C22semidirect
35. C2×C31×#102C22semidirect
37. C2×C31×C22⋊C8C22semidirect
43. C31×#340C22semidirect
44. C31×#340C22semidirect
45. C31×#340C22semidirect
46. C31×#336C22semidirect
85. C31×#121D4semidirect
98. C2×C4⋊C4×C31D4semidirect
157. C2×D4×C31D8semidirect
159. C2×D4×C31#41semidirect
217. #23960C31direct (N × H)
295. C2×#547C2×C31semidirect
296. C2×#447C2×C31semidirect
297. C22×#102C2×C31semidirect
298. #2408C2×C31semidirect
299. #2023C2×C31semidirect
300. #1999C2×C31semidirect
301. #1893C2×C31semidirect
302. #1879C2×C31semidirect
303. #1874C2×C31semidirect
304. #1869C2×C31semidirect
305. #1823C2×C31semidirect
351. C2×C4⋊Q8C22×C31semidirect
357. C2×#121C22×C31semidirect
360. C2×C4×D4C22×C31semidirect
362. C22×C4⋊C4C22×C31semidirect
368. C2×#102C22×C31semidirect
370. C2×C22⋊C8C22×C31semidirect
376. #340C22×C31semidirect
377. #340C22×C31semidirect
378. #340C22×C31semidirect
379. #336C22×C31semidirect
427. #121D4×C31semidirect
440. C2×C4⋊C4D4×C31semidirect
462. C31#23960direct (N × H)
500. C2×D4D8×C31semidirect
502. C2×D4#41×C31semidirect

Maximal subgroups

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

subgroupindex
C2×C31×#5472
C2×C31×#4472
C22×C31×#1022
C31×#24082
C31×#20232
C31×#19992
C31×#18932
C31×#18792
C31×#18742
C31×#18692
C31×#18232
#2396031