Finite Group Databasebeta

← C31×#25281 #21482040

Subgroups — C31×#25281 #21482040

Order 7936.

848 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×#488C211yesmaximal, characteristic, complemented
2C2×C31×#478C211yesmaximal, characteristic, complemented
3C31×#2544C211yesmaximal, characteristic
4C31×#2370C211yesmaximal, characteristic, complemented
5C31×#2068C211yesmaximal, characteristic, complemented
6C31×#2065C211yesmaximal, characteristic, complemented
7C31×#2042C211yesmaximal, characteristic, complemented
8C31×#2041C211yesmaximal, characteristic
9C31×#1983C211yesmaximal, characteristic, complemented
10C31×#1983C211yesmaximal, characteristic, complemented
11C31×#1982C211yesmaximal, characteristic
12C31×#1939C211yesmaximal, characteristic, complemented
13C31×#1927C211yesmaximal, characteristic, complemented
14C31×#1925C211yesmaximal, characteristic, complemented
15C4×C31×#102C211yesmaximal, characteristic, complemented
16C2×C31×#127C2211yescharacteristic
17C2×C31×#125C2211yescharacteristic
18C2×C31×#124C2211yescharacteristic
19C2×C31×#124C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C31×#488—24no—
22C31×#478—24no—
23C2×C31×#107C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×C4⋊C8C2211yescharacteristic
26C2×C31×C4⋊C8C2211yescharacteristic
27C2×C31×C4⋊C8C2211yescharacteristic
28C2×C31×#103C2211yescharacteristic
29C2×C31×#103C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#102C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×#102C2211yescharacteristic
37C2×C31×#102C2211yescharacteristic
38C2×C31×#102C2211yescharacteristic
39C2×C31×#102C2211yescharacteristic
40C2×C4×C8×C31C2211yescharacteristic
41C31×#394—21no—
42C31×#394—21no—
43C31×#391C2211yescharacteristic
44C31×#390C2211yescharacteristic
45C31×#389—21no—
46C31×#389C2211yescharacteristic
47C31×#389C2211yescharacteristic
48C31×#387—21no—
49C31×#387—21no—
50C31×#386—21no—
51C31×#386—21no—
52C4×C4⋊C4×C31—21no—
53C4×C4⋊C4×C31C2211yescharacteristic
54C4×C4⋊C4×C31C2211yescharacteristic
55C4×C4⋊C4×C31C2211yescharacteristic
56C4×C4⋊C4×C31C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×Q8×C31C2311yescharacteristic
62C22×D4×C31—21no—
63C22×D4×C31—21no—
64C22×D4×C31C2311yescharacteristic
65C22×D4×C31C2311yescharacteristic
66C23×C4×C31—21no—
67C22×C8×C31C2311yescharacteristic
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C31×#127—22no—
72C31×#127—41no—
73C31×#125—22no—
74C31×#125D414yescomplemented
75C31×#124—22no—
76C31×#124—22no—
77C31×#124—22no—
78C31×#124—41no—
79C4×D4×C31—22no—
80C4×D4×C31—22no—
81C2×C4⋊C4×C31—21no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31D411yescharacteristic
86C2×C4⋊C4×C31D411yescharacteristic
87C2×C4⋊C4×C31C2311yescharacteristic
88C2×C4⋊C4×C31C2311yescharacteristic
89C2×C4⋊C4×C31C2311yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C22⋊C4×C31—21no—
93C2×C22⋊C4×C31—21no—
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×C42×C31—21no—
100C2×C42×C31—21no—
101C2×C42×C31—21no—
102C2×C42×C31C2311yescharacteristic
103C2×C42×C31C2311yescharacteristic
104C2×C42×C31C2311yescharacteristic
105C31×#107—22no—
106C31×#106—22no—
107C31×C4⋊C8—22no—
108C31×C4⋊C8—41no—
109C31×C4⋊C8—41no—
110C31×#103—22no—
111C31×#103—22no—
112C31×#103—22no—
113C31×#103—41no—
114C31×#102—22no—
115C31×#102—22no—
116C31×#102—22no—
117C31×#102—22no—
118C31×#102—22no—
119C31×#102—22no—
120C31×#102—22no—
121C31×#102—41no—
122C4×C8×C31—22no—
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×C31—21no—
134C2×Q8×C31—21no—
135C2×Q8×C31—21no—
136C2×Q8×C31—21no—
137C2×Q8×C31—21no—
138C2×Q8×C31—21no—
139C2×Q8×C31—21no—
140C2×D4×C31—21no—
141C2×D4×C31—21no—
142C2×D4×C31—21no—
143C2×D4×C31—21no—
144C2×D4×C31—21no—
145C2×D4×C31—21no—
146C2×D4×C31—21no—
147C2×D4×C31—21no—
148C2×D4×C31—21no—
149C2×D4×C31—21no—
150C2×D4×C31—21no—
151C2×D4×C31—42no—
152C2×D4×C31—42no—
153C2×D4×C31—42no—
154C2×D4×C31—42no—
155C2×D4×C31—81no—
156C2×D4×C31—81no—
157C2×D4×C31#4112yes—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
161C22×C4×C31—21no—
162C22×C4×C31—21no—
163C22×C4×C31—21no—
164C22×C4×C31—42no—
165C22×C4×C31—81no—
166C22×C4×C31—81no—
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2×D411yescharacteristic
173C22×C4×C31C2411yescharacteristic
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—21no—
181C2×C8×C31—21no—
182C2×C8×C31—21no—
183C2×C8×C31—21no—
184C2×C8×C31—21no—
185C2×C8×C31—21no—
186C4⋊C4×C31—24no—
187C4⋊C4×C31—24no—
188C4⋊C4×C31—22no—
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—41no—
197C4⋊C4×C31—42no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31C2×D412yes—
200C4⋊C4×C31C2×D412yes—
201C4⋊C4×C31#4112yes—
202C22⋊C4×C31—42no—
203C22⋊C4×C31—42no—
204C22⋊C4×C31—42no—
205C22⋊C4×C31—42no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—81no—
208C22⋊C4×C31—81no—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—21no—
213C42×C31—42no—
214C42×C31—81no—
215C42×C31—81no—
216C42×C31C2×D412yes—
217C42×C31#4112yes—
218#25281C3111yesmaximal, characteristic, direct product factor, Sylow
219C23×C31—22no—
220C23×C31—41no—
221C23×C31—41no—
222C23×C31—41no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31—41no—
231C23×C31—41no—
232C23×C31—41no—
233C23×C31C22×D411yescharacteristic
234Q8×C31—41no—
235Q8×C31—41no—
236Q8×C31—41no—
237Q8×C31—41no—
238D4×C31—22no—
239D4×C31—22no—
240D4×C31—41no—
241D4×C31—41no—
242D4×C31—41no—
243D4×C31—41no—
244D4×C31—41no—
245D4×C31—41no—
246D4×C31—84no—
247D4×C31—84no—
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—22no—
255C2×C4×C31—22no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—21no—
259C2×C4×C31—22no—
260C2×C4×C31—21no—
261C2×C4×C31—21no—
262C2×C4×C31—21no—
263C2×C4×C31—21no—
264C2×C4×C31—21no—
265C2×C4×C31—21no—
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—41no—
280C2×C4×C31—41no—
281C2×C4×C31—84no—
282C2×C4×C31#12112yes—
283C2×C4×C31#12112yes—
284C2×C4×C31#13512yes—
285C2×C4×C31C22×D411yescharacteristic
286C2×C4×C31C2×#4111yescharacteristic
287C2×C4×C31C2×#4111yescharacteristic
288C2×C4×C31C2×#4111yescharacteristic
289C2×C4×C31H(5,𝔽2)11yescharacteristic
290C2×C4×C312−1+411yescharacteristic
291C8×C31—41no—
292C8×C31—41no—
293C8×C31—41no—
294C8×C31—41no—
295C2×#488C2×C3111yescharacteristic, complemented
296C2×#478C2×C3111yescharacteristic, complemented
297#2544C2×C3111yescharacteristic
298#2370C2×C3111yescharacteristic, complemented
299#2068C2×C3111yescharacteristic, complemented
300#2065C2×C3111yescharacteristic, complemented
301#2042C2×C3111yescharacteristic, complemented
302#2041C2×C3111yescharacteristic
303#1983C2×C3111yescharacteristic, complemented
304#1983C2×C3111yescharacteristic, complemented
305#1982C2×C3111yescharacteristic
306#1939C2×C3111yescharacteristic, complemented
307#1927C2×C3111yescharacteristic, complemented
308#1925C2×C3111yescharacteristic, complemented
309C4×#102C2×C3111yescharacteristic, complemented
310C22×C31—42no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—81no—
314C22×C31—81no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31—81no—
319C22×C31—81no—
320C22×C31—81no—
321C22×C31—81no—
322C22×C31—81no—
323C22×C31—81no—
324C22×C31C2×#12111yescharacteristic
325C22×C31#54611yescharacteristic
326C22×C31#54811yescharacteristic
327C22×C31C2×#13511yescharacteristic
328C22×C31#57511yescharacteristic
329C22×C31#57611yescharacteristic
330C22×C31#57711yescharacteristic
331C4×C31—22no—
332C4×C31—22no—
333C4×C31—22no—
334C4×C31—42no—
335C4×C31—42no—
336C4×C31—41no—
337C4×C31—42no—
338C4×C31—41no—
339C4×C31—41no—
340C4×C31—81no—
341C4×C31—81no—
342C4×C31—81no—
343C4×C31#52911yescharacteristic
344C4×C31#54211yescharacteristic
345C4×C31#54811yescharacteristic
346C4×C31#55011yescharacteristic
347C2×#127C22×C3111yescharacteristic
348C2×#125C22×C3111yescharacteristic
349C2×#124C22×C3111yescharacteristic
350C2×#124C22×C3111yescharacteristic
351C2×C4×D4C22×C3111yescharacteristic
352#488—24no—
353#478—24no—
354C2×#107C22×C3111yescharacteristic
355C2×#106C22×C3111yescharacteristic
356C2×C4⋊C8C22×C3111yescharacteristic
357C2×C4⋊C8C22×C3111yescharacteristic
358C2×C4⋊C8C22×C3111yescharacteristic
359C2×#103C22×C3111yescharacteristic
360C2×#103C22×C3111yescharacteristic
361C2×#103C22×C3111yescharacteristic
362C2×#103C22×C3111yescharacteristic
363C2×#102C22×C3111yescharacteristic
364C2×#102C22×C3111yescharacteristic
365C2×#102C22×C3111yescharacteristic
366C2×#102C22×C3111yescharacteristic
367C2×#102C22×C3111yescharacteristic
368C2×#102C22×C3111yescharacteristic
369C2×#102C22×C3111yescharacteristic
370C2×#102C22×C3111yescharacteristic
371C2×C4×C8C22×C3111yescharacteristic
372#394—21no—
373#394—21no—
374#391C22×C3111yescharacteristic
375#390C22×C3111yescharacteristic
376#389—21no—
377#389C22×C3111yescharacteristic
378#389C22×C3111yescharacteristic
379#387—21no—
380#387—21no—
381#386—21no—
382#386—21no—
383C4×C4⋊C4—21no—
384C4×C4⋊C4C22×C3111yescharacteristic
385C4×C4⋊C4C22×C3111yescharacteristic
386C4×C4⋊C4C22×C3111yescharacteristic
387C4×C4⋊C4C22×C3111yescharacteristic
388#340C22×C3111yescharacteristic
389#340C22×C3111yescharacteristic
390#336C22×C3111yescharacteristic
391#336C22×C3111yescharacteristic
392C2×C31—82no—
393C2×C31—161no—
394C2×C31#242611yescharacteristic
395C2×C31#303511yescharacteristic
396C2×C31#304511yescharacteristic
397C2×C31#329611yescharacteristic
398C2×C31#332211yescharacteristic
399C2×C31#336111yescharacteristic
400C2×C31#337111yescharacteristic
401C22×Q8C23×C3111yescharacteristic
402C22×D4—21no—
403C22×D4—21no—
404C22×D4C23×C3111yescharacteristic
405C22×D4C23×C3111yescharacteristic
406C23×C4—21no—
407C22×C8C23×C3111yescharacteristic
408C22×C8C23×C3111yescharacteristic
409C22×C8C23×C3111yescharacteristic
410C22×C8C23×C3111yescharacteristic
411#127—22no—
412#127—41no—
413#125—22no—
414#125D4×C3114yescomplemented
415#124—22no—
416#124—22no—
417#124—22no—
418#124—41no—
419C4×D4—22no—
420C4×D4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4D4×C3111yescharacteristic
426C2×C4⋊C4D4×C3111yescharacteristic
427C2×C4⋊C4C23×C3111yescharacteristic
428C2×C4⋊C4C23×C3111yescharacteristic
429C2×C4⋊C4C23×C3111yescharacteristic
430C2×C4⋊C4C23×C3111yescharacteristic
431C2×C4⋊C4C23×C3111yescharacteristic
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42C23×C3111yescharacteristic
443C2×C42C23×C3111yescharacteristic
444C2×C42C23×C3111yescharacteristic
445#107—22no—
446#106—22no—
447C4⋊C8—22no—
448C4⋊C8—41no—
449C4⋊C8—41no—
450#103—22no—
451#103—22no—
452#103—22no—
453#103—41no—
454#102—22no—
455#102—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—41no—
462C4×C8—22no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C3111yescharacteristic
471#95D4×C3111yescharacteristic
472C31#2528111yescharacteristic, direct product factor, Sylow
473C24—21no—
474C24—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4#41×C3112yes—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4C2×D4×C3111yescharacteristic
509C22×C4C2×D4×C3111yescharacteristic
510C22×C4C2×D4×C3111yescharacteristic
511C22×C4C2×D4×C3111yescharacteristic
512C22×C4C2×D4×C3111yescharacteristic
513C22×C4C2×D4×C3111yescharacteristic
514C22×C4C24×C3111yescharacteristic
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4C2×D4×C3112yes—
541C4⋊C4C2×D4×C3112yes—
542C4⋊C4#41×C3112yes—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—42no—
555C42—81no—
556C42—81no—
557C42C2×D4×C3112yes—
558C42#41×C3112yes—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C22×D4×C3111yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—22no—
579D4—22no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—84no—
587D4—84no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
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—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4C31×#12112yes—
623C2×C4C31×#12112yes—
624C2×C4C31×#13512yes—
625C2×C4C22×D4×C3111yescharacteristic
626C2×C4C2×#41×C3111yescharacteristic
627C2×C4C2×#41×C3111yescharacteristic
628C2×C4C2×#41×C3111yescharacteristic
629C2×C4C31×H(5,𝔽2)11yescharacteristic
630C2×C4C31×2−1+411yescharacteristic
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×C31×#12111yescharacteristic
650C22C31×#54611yescharacteristic
651C22C31×#54811yescharacteristic
652C22C2×C31×#13511yescharacteristic
653C22C31×#57511yescharacteristic
654C22C31×#57611yescharacteristic
655C22C31×#57711yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—42no—
660C4—42no—
661C4—41no—
662C4—42no—
663C4—41no—
664C4—41no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C31×#52911yescharacteristic
669C4C31×#54211yescharacteristic
670C4C31×#54811yescharacteristic
671C4C31×#55011yescharacteristic
672C2—82no—
673C2—161no—
674C2C31×#242611yescharacteristic
675C2C31×#303511yescharacteristic
676C2C31×#304511yescharacteristic
677C2C31×#329611yescharacteristic
678C2C31×#332211yescharacteristic
679C2C31×#336111yescharacteristic
680C2C31×#337111yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC2×C31×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C31 ◁ C4×C4⋊C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C31×#488C2semidirect
2. C2×C31×#478C2semidirect
4. C31×#2370C2semidirect
5. C31×#2068C2semidirect
6. C31×#2065C2semidirect
7. C31×#2042C2semidirect
9. C31×#1983C2semidirect
10. C31×#1983C2semidirect
12. C31×#1939C2semidirect
13. C31×#1927C2semidirect
14. C31×#1925C2semidirect
15. C4×C31×#102C2semidirect
74. C31×#125D4semidirect
218. #25281C31direct (N × H)
295. C2×#488C2×C31semidirect
296. C2×#478C2×C31semidirect
298. #2370C2×C31semidirect
299. #2068C2×C31semidirect
300. #2065C2×C31semidirect
301. #2042C2×C31semidirect
303. #1983C2×C31semidirect
304. #1983C2×C31semidirect
306. #1939C2×C31semidirect
307. #1927C2×C31semidirect
308. #1925C2×C31semidirect
309. C4×#102C2×C31semidirect
414. #125D4×C31semidirect
472. C31#25281direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4882
C2×C31×#4782
C31×#25442
C31×#23702
C31×#20682
C31×#20652
C31×#20422
C31×#20412
C31×#19832
C31×#19822
C31×#19392
C31×#19272
C31×#19252
C4×C31×#1022
#2528131