Finite Group Databasebeta

← C31×#25031 #21481790

Subgroups — C31×#25031 #21481790

Order 7936.

850 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#465C211yesmaximal, characteristic
2C2×C4×SD16×C31C211yesmaximal, characteristic, complemented
3C31×#2421C211yesmaximal, characteristic, complemented
4C31×#2420C211yesmaximal, characteristic
5C31×#2074C211yesmaximal, characteristic, complemented
6C31×#2073C211yesmaximal, characteristic, complemented
7C31×#2036C211yesmaximal, characteristic, complemented
8C31×#2033C211yesmaximal, characteristic
9C31×#1968C211yesmaximal, characteristic, complemented
10C31×#1941C211yesmaximal, characteristic, complemented
11C31×#1863C211yesmaximal, characteristic, complemented
12C31×#1862C211yesmaximal, characteristic, complemented
13C31×#1846C211yesmaximal, characteristic, complemented
14C31×#1807C211yesmaximal, characteristic, complemented
15C8×C22⋊C4×C31C211yesmaximal, characteristic, complemented
16C22×SD16×C31C2211yescharacteristic
17C23×C8×C31C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C31×#121C2211yescharacteristic
20C2×C4×Q8×C31C2211yescharacteristic
21C2×C4×D4×C31C2211yescharacteristic
22C31×#465—24no—
23C4×SD16×C31—24no—
24C2×C31×#107C2211yescharacteristic
25C2×C31×#107C2211yescharacteristic
26C2×C31×#106C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×#103C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#102C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×C22⋊C8C2211yescharacteristic
36C2×C4×C8×C31C2211yescharacteristic
37C2×C4×C8×C31C2211yescharacteristic
38C31×#400—21no—
39C31×#397—21no—
40C31×#397—21no—
41C31×#394—21no—
42C31×#391C2211yescharacteristic
43C31×#390C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#389C2211yescharacteristic
46C31×#388—21no—
47C31×#387—21no—
48C31×#386—21no—
49C31×#382C2211yescharacteristic
50C31×#382C2211yescharacteristic
51C31×#381—21no—
52C31×#380C2211yescharacteristic
53C31×#380C2211yescharacteristic
54C4×C22⋊C4×C31C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31C2311yescharacteristic
62C22×D4×C31—21no—
63C22×D4×C31C2311yescharacteristic
64C23×C4×C31—21no—
65C23×C4×C31C2311yescharacteristic
66C2×SD16×C31—22no—
67C2×SD16×C31—22no—
68C2×SD16×C31D414yes—
69C22×C8×C31—22no—
70C22×C8×C31—22no—
71C22×C8×C31—22no—
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C22×C8×C31C2311yescharacteristic
76C31×C22⋊Q8—22no—
77C31×C22⋊Q8—41no—
78C31×#121—22no—
79C31×#121—41no—
80C4×Q8×C31—22no—
81C4×Q8×C31—41no—
82C4×D4×C31—22no—
83C4×D4×C31—41no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—21no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—21no—
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C22⋊C4×C31—21no—
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—21no—
101C2×C22⋊C4×C31D411yescharacteristic
102C2×C22⋊C4×C31D411yescharacteristic
103C2×C42×C31—21no—
104C2×C42×C31C2311yescharacteristic
105C2×C42×C31C2311yescharacteristic
106C31×#107—41no—
107C31×#107—41no—
108C31×#106—22no—
109C31×#106—22no—
110C31×#106—22no—
111C31×#103—22no—
112C31×#103—22no—
113C31×#103—22no—
114C31×#102—22no—
115C31×#102—22no—
116C31×#102—22no—
117C31×C22⋊C8—22no—
118C4×C8×C31—22no—
119C4×C8×C31—22no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95D411yescharacteristic
131C31×#95D411yescharacteristic
132C24×C31—21no—
133C24×C31C2×D411yescharacteristic
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—21no—
138C2×Q8×C31—21no—
139C2×Q8×C31C2×D412yes—
140C2×D4×C31—21no—
141C2×D4×C31—21no—
142C2×D4×C31—21no—
143C2×D4×C31—21no—
144C2×D4×C31—21no—
145C2×D4×C31—42no—
146C2×D4×C31—42no—
147C2×D4×C31—81no—
148C2×D4×C31C2×D412yes—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—21no—
152C22×C4×C31—21no—
153C22×C4×C31—21no—
154C22×C4×C31—21no—
155C22×C4×C31—21no—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
161C22×C4×C31—21no—
162C22×C4×C31—42no—
163C22×C4×C31—42no—
164C22×C4×C31—81no—
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2411yescharacteristic
171SD16×C31—28no—
172C2×C8×C31—21no—
173C2×C8×C31—21no—
174C2×C8×C31—21no—
175C2×C8×C31—21no—
176C2×C8×C31—21no—
177C2×C8×C31—21no—
178C2×C8×C31—21no—
179C2×C8×C31—21no—
180C2×C8×C31—44no—
181C2×C8×C31C2×D412yes—
182C2×C8×C31#4112yes—
183C2×C8×C31#4112yes—
184C2×C8×C31#4112yes—
185C4⋊C4×C31—21no—
186C4⋊C4×C31—21no—
187C4⋊C4×C31—21no—
188C4⋊C4×C31—21no—
189C4⋊C4×C31—21no—
190C4⋊C4×C31—21no—
191C4⋊C4×C31—21no—
192C4⋊C4×C31—21no—
193C4⋊C4×C31—21no—
194C4⋊C4×C31—21no—
195C4⋊C4×C31—21no—
196C4⋊C4×C31—21no—
197C4⋊C4×C31—42no—
198C4⋊C4×C31—42no—
199C4⋊C4×C31—42no—
200C4⋊C4×C31—81no—
201C22⋊C4×C31—22no—
202C22⋊C4×C31—22no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—42no—
205C22⋊C4×C31—42no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—81no—
208C22⋊C4×C31—81no—
209C22⋊C4×C31—81no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—21no—
213C42×C31—21no—
214C42×C31—42no—
215#25031C3111yesmaximal, characteristic, direct product factor, Sylow
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—22no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31#13512yes—
230C23×C31C22×D411yescharacteristic
231Q8×C31—22no—
232Q8×C31—22no—
233Q8×C31—41no—
234Q8×C31—41no—
235D4×C31—22no—
236D4×C31—22no—
237D4×C31—41no—
238D4×C31—41no—
239D4×C31—84no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—22no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—41no—
256C2×C4×C31—41no—
257C2×C4×C31—41no—
258C2×C4×C31—41no—
259C2×C4×C31—41no—
260C2×C4×C31—41no—
261C2×C4×C31—41no—
262C2×C4×C31—41no—
263C2×C4×C31—41no—
264C2×C4×C31—41no—
265C2×C4×C31—41no—
266C2×C4×C31—41no—
267C2×C4×C31—41no—
268C2×C4×C31—41no—
269C2×C4×C31—41no—
270C2×C4×C31—41no—
271C2×C4×C31—41no—
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—41no—
279C2×C4×C31—84no—
280C2×C4×C31#13512yes—
281C2×C4×C31C22×D411yescharacteristic
282C2×C4×C31C2×#4111yescharacteristic
283C2×C4×C31C2×#4111yescharacteristic
284C2×C4×C31C2×#4111yescharacteristic
285C2×C4×C31H(5,𝔽2)11yescharacteristic
286C2×C4×C312−1+411yescharacteristic
287C8×C31—22no—
288C8×C31—41no—
289C8×C31—41no—
290C8×C31#12314yes—
291C2×#465C2×C3111yescharacteristic
292C2×C4×SD16C2×C3111yescharacteristic, complemented
293#2421C2×C3111yescharacteristic, complemented
294#2420C2×C3111yescharacteristic
295#2074C2×C3111yescharacteristic, complemented
296#2073C2×C3111yescharacteristic, complemented
297#2036C2×C3111yescharacteristic, complemented
298#2033C2×C3111yescharacteristic
299#1968C2×C3111yescharacteristic, complemented
300#1941C2×C3111yescharacteristic, complemented
301#1863C2×C3111yescharacteristic, complemented
302#1862C2×C3111yescharacteristic, complemented
303#1846C2×C3111yescharacteristic, complemented
304#1807C2×C3111yescharacteristic, complemented
305C8×C22⋊C4C2×C3111yescharacteristic, complemented
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—22no—
309C22×C31—41no—
310C22×C31—41no—
311C22×C31—41no—
312C22×C31—41no—
313C22×C31—42no—
314C22×C31—42no—
315C22×C31—42no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31—81no—
319C22×C31—81no—
320C22×C31#53211yescharacteristic
321C22×C31D4211yescharacteristic
322C22×C31#54711yescharacteristic
323C22×C31C2×#13511yescharacteristic
324C22×C31C2×#13511yescharacteristic
325C22×C31#57711yescharacteristic
326C22×C31#57711yescharacteristic
327C4×C31—22no—
328C4×C31—41no—
329C4×C31—41no—
330C4×C31—41no—
331C4×C31—42no—
332C4×C31—41no—
333C4×C31—81no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31—81no—
337C4×C31—81no—
338C4×C31—81no—
339C4×C31C2×#12311yescharacteristic
340C4×C31#54211yescharacteristic
341C4×C31#54711yescharacteristic
342C4×C31#55311yescharacteristic
343C22×SD16C22×C3111yescharacteristic
344C23×C8C22×C3111yescharacteristic
345C2×C22⋊Q8C22×C3111yescharacteristic
346C2×#121C22×C3111yescharacteristic
347C2×C4×Q8C22×C3111yescharacteristic
348C2×C4×D4C22×C3111yescharacteristic
349#465—24no—
350C4×SD16—24no—
351C2×#107C22×C3111yescharacteristic
352C2×#107C22×C3111yescharacteristic
353C2×#106C22×C3111yescharacteristic
354C2×#106C22×C3111yescharacteristic
355C2×#106C22×C3111yescharacteristic
356C2×#103C22×C3111yescharacteristic
357C2×#103C22×C3111yescharacteristic
358C2×#103C22×C3111yescharacteristic
359C2×#102C22×C3111yescharacteristic
360C2×#102C22×C3111yescharacteristic
361C2×#102C22×C3111yescharacteristic
362C2×C22⋊C8C22×C3111yescharacteristic
363C2×C4×C8C22×C3111yescharacteristic
364C2×C4×C8C22×C3111yescharacteristic
365#400—21no—
366#397—21no—
367#397—21no—
368#394—21no—
369#391C22×C3111yescharacteristic
370#390C22×C3111yescharacteristic
371#389C22×C3111yescharacteristic
372#389C22×C3111yescharacteristic
373#388—21no—
374#387—21no—
375#386—21no—
376#382C22×C3111yescharacteristic
377#382C22×C3111yescharacteristic
378#381—21no—
379#380C22×C3111yescharacteristic
380#380C22×C3111yescharacteristic
381C4×C22⋊C4C22×C3111yescharacteristic
382#340C22×C3111yescharacteristic
383#340C22×C3111yescharacteristic
384#340C22×C3111yescharacteristic
385#340C22×C3111yescharacteristic
386#336C22×C3111yescharacteristic
387#336C22×C3111yescharacteristic
388C2×C31—42no—
389C2×C31—82no—
390C2×C31#242211yescharacteristic
391C2×C31#316811yescharacteristic
392C2×C31#317411yescharacteristic
393C2×C31#328211yescharacteristic
394C2×C31#328211yescharacteristic
395C2×C31#333711yescharacteristic
396C2×C31#334011yescharacteristic
397C22×Q8C23×C3111yescharacteristic
398C22×D4—21no—
399C22×D4C23×C3111yescharacteristic
400C23×C4—21no—
401C23×C4C23×C3111yescharacteristic
402C2×SD16—22no—
403C2×SD16—22no—
404C2×SD16D4×C3114yes—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8—22no—
408C22×C8C23×C3111yescharacteristic
409C22×C8C23×C3111yescharacteristic
410C22×C8C23×C3111yescharacteristic
411C22×C8C23×C3111yescharacteristic
412C22⋊Q8—22no—
413C22⋊Q8—41no—
414#121—22no—
415#121—41no—
416C4×Q8—22no—
417C4×Q8—41no—
418C4×D4—22no—
419C4×D4—41no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4C23×C3111yescharacteristic
425C2×C4⋊C4C23×C3111yescharacteristic
426C2×C4⋊C4C23×C3111yescharacteristic
427C2×C4⋊C4C23×C3111yescharacteristic
428C2×C4⋊C4C23×C3111yescharacteristic
429C2×C4⋊C4C23×C3111yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4D4×C3111yescharacteristic
438C2×C22⋊C4D4×C3111yescharacteristic
439C2×C42—21no—
440C2×C42C23×C3111yescharacteristic
441C2×C42C23×C3111yescharacteristic
442#107—41no—
443#107—41no—
444#106—22no—
445#106—22no—
446#106—22no—
447#103—22no—
448#103—22no—
449#103—22no—
450#102—22no—
451#102—22no—
452#102—22no—
453C22⋊C8—22no—
454C4×C8—22no—
455C4×C8—22no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95D4×C3111yescharacteristic
467#95D4×C3111yescharacteristic
468C31#2503111yescharacteristic, direct product factor, Sylow
469C24—21no—
470C24C2×D4×C3111yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C2×D4×C3112yes—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—81no—
485C2×D4C2×D4×C3112yes—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—81no—
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C2×D4×C3111yescharacteristic
504C22×C4C2×D4×C3111yescharacteristic
505C22×C4C2×D4×C3111yescharacteristic
506C22×C4C2×D4×C3111yescharacteristic
507C22×C4C24×C3111yescharacteristic
508SD16—28no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—44no—
518C2×C8C2×D4×C3112yes—
519C2×C8#41×C3112yes—
520C2×C8#41×C3112yes—
521C2×C8#41×C3112yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4—81no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—42no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—22no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23C31×#13512yes—
566C23C22×D4×C3111yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—41no—
570Q8—41no—
571D4—22no—
572D4—22no—
573D4—41no—
574D4—41no—
575D4—84no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—84no—
616C2×C4C31×#13512yes—
617C2×C4C22×D4×C3111yescharacteristic
618C2×C4C2×#41×C3111yescharacteristic
619C2×C4C2×#41×C3111yescharacteristic
620C2×C4C2×#41×C3111yescharacteristic
621C2×C4C31×H(5,𝔽2)11yescharacteristic
622C2×C4C31×2−1+411yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8C31×#12314yes—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C31×#53211yescharacteristic
642C22D42×C3111yescharacteristic
643C22C31×#54711yescharacteristic
644C22C2×C31×#13511yescharacteristic
645C22C2×C31×#13511yescharacteristic
646C22C31×#57711yescharacteristic
647C22C31×#57711yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—42no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C2×C31×#12311yescharacteristic
661C4C31×#54211yescharacteristic
662C4C31×#54711yescharacteristic
663C4C31×#55311yescharacteristic
664C2—42no—
665C2—82no—
666C2C31×#242211yescharacteristic
667C2C31×#316811yescharacteristic
668C2C31×#317411yescharacteristic
669C2C31×#328211yescharacteristic
670C2C31×#328211yescharacteristic
671C2C31×#333711yescharacteristic
672C2C31×#334011yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C22⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C4×SD16×C31C2semidirect
3. C31×#2421C2semidirect
5. C31×#2074C2semidirect
6. C31×#2073C2semidirect
7. C31×#2036C2semidirect
9. C31×#1968C2semidirect
10. C31×#1941C2semidirect
11. C31×#1863C2semidirect
12. C31×#1862C2semidirect
13. C31×#1846C2semidirect
14. C31×#1807C2semidirect
15. C8×C22⋊C4×C31C2semidirect
215. #25031C31direct (N × H)
292. C2×C4×SD16C2×C31semidirect
293. #2421C2×C31semidirect
295. #2074C2×C31semidirect
296. #2073C2×C31semidirect
297. #2036C2×C31semidirect
299. #1968C2×C31semidirect
300. #1941C2×C31semidirect
301. #1863C2×C31semidirect
302. #1862C2×C31semidirect
303. #1846C2×C31semidirect
304. #1807C2×C31semidirect
305. C8×C22⋊C4C2×C31semidirect
468. C31#25031direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4652
C2×C4×SD16×C312
C31×#24212
C31×#24202
C31×#20742
C31×#20732
C31×#20362
C31×#20332
C31×#19682
C31×#19412
C31×#18632
C31×#18622
C31×#18462
C31×#18072
C8×C22⋊C4×C312
#2503131