Finite Group Databasebeta

← C31×#26370 #21483129

Subgroups — C31×#26370 #21483129

Order 7936.

896 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#478C211yesmaximal, characteristic, complemented
2C2×C4×D8×C31C211yesmaximal, characteristic
3C31×#2454C211yesmaximal, characteristic, complemented
4C31×#2349C211yesmaximal, characteristic, complemented
5C31×#2092C211yesmaximal, characteristic, complemented
6C31×#2085C211yesmaximal, characteristic, complemented
7C31×#2067C211yesmaximal, characteristic, complemented
8C31×#2059C211yesmaximal, characteristic, complemented
9C31×#1942C211yesmaximal, characteristic, complemented
10C31×#1916C211yesmaximal, characteristic, complemented
11C31×#1879C211yesmaximal, characteristic
12C31×#1879C211yesmaximal, characteristic
13C31×#1864C211yesmaximal, characteristic, complemented
14C31×#1864C211yesmaximal, characteristic, complemented
15C31×#1862C211yesmaximal, characteristic, complemented
16C22×D8×C31C2211yescharacteristic
17C2×C31×#125C2211yescharacteristic
18C2×C4×D4×C31C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C4×D4×C31C2211yescharacteristic
21C2×C4×D4×C31C2211yescharacteristic
22C31×#478—24no—
23C4×D8×C31—24no—
24C2×C31×#107C2211yescharacteristic
25C2×C31×#107C2211yescharacteristic
26C2×C31×#107C2211yescharacteristic
27C2×C31×#106C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×C4⋊C8C2211yescharacteristic
30C2×C31×#102C2211yescharacteristic
31C2×C31×#102C2211yescharacteristic
32C2×C31×#102C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C4×C8×C31C2211yescharacteristic
37C31×#399—21no—
38C31×#396—21no—
39C31×#390C2211yescharacteristic
40C31×#390C2211yescharacteristic
41C31×#389C2211yescharacteristic
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#385—21no—
46C31×#385—21no—
47C31×#385—21no—
48C31×#382C2211yescharacteristic
49C31×#380—21no—
50C31×#380—21no—
51C4×C4⋊C4×C31C2211yescharacteristic
52C2×C31×#95—21no—
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×D4×C31C2311yescharacteristic
62C22×D4×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31—21no—
65C23×C4×C31—21no—
66C23×C4×C31—21no—
67C2×D8×C31—22no—
68C2×D8×C31—22no—
69C2×D8×C31Q814yes—
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C31×#125—22no—
75C31×#125—41no—
76C4×D4×C31—22no—
77C4×D4×C31—22no—
78C4×D4×C31—22no—
79C4×D4×C31—22no—
80C4×D4×C31—22no—
81C4×D4×C31—41no—
82C4×D4×C31—41no—
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×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31D411yescharacteristic
91C2×C4⋊C4×C31D411yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C22⋊C4×C31—21no—
99C2×C22⋊C4×C31—21no—
100C2×C22⋊C4×C31—21no—
101C2×C22⋊C4×C31—21no—
102C2×C22⋊C4×C31—21no—
103C2×C22⋊C4×C31—21no—
104C2×C22⋊C4×C31—21no—
105C2×C22⋊C4×C31—21no—
106C2×C42×C31C2311yescharacteristic
107C2×C42×C31C2311yescharacteristic
108C2×C42×C31C2311yescharacteristic
109C31×#107—22no—
110C31×#107—22no—
111C31×#107—22no—
112C31×#106—22no—
113C31×#106—41no—
114C31×C4⋊C8—22no—
115C31×#102—22no—
116C31×#102—22no—
117C31×#102—22no—
118C31×#102—22no—
119C31×#102—41no—
120C31×#102D414yes—
121C4×C8×C31—22no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95D411yescharacteristic
129C31×#95D411yescharacteristic
130C24×C31—21no—
131C24×C31—21no—
132C2×D4×C31—21no—
133C2×D4×C31—21no—
134C2×D4×C31—21no—
135C2×D4×C31—21no—
136C2×D4×C31—21no—
137C2×D4×C31—21no—
138C2×D4×C31—21no—
139C2×D4×C31—21no—
140C2×D4×C31C2×D412yes—
141C2×D4×C31C2×Q812yes—
142C2×D4×C31C2×Q812yes—
143C2×D4×C31#4112yes—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—24no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
149C22×C4×C31—21no—
150C22×C4×C31—21no—
151C22×C4×C31—42no—
152C22×C4×C31—42no—
153C22×C4×C31—42no—
154C22×C4×C31—42no—
155C22×C4×C31—42no—
156C22×C4×C31—42no—
157C22×C4×C31—81no—
158C22×C4×C31—81no—
159C22×C4×C31—81no—
160C22×C4×C31—81no—
161C22×C4×C31—81no—
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31C2×D411yescharacteristic
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2411yescharacteristic
169D8×C31—28no—
170C2×C8×C31—21no—
171C2×C8×C31—21no—
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×C31C2×D412yes—
181C2×C8×C31C2×Q812yes—
182C4⋊C4×C31—22no—
183C4⋊C4×C31—21no—
184C4⋊C4×C31—21no—
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—41no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—81no—
197C4⋊C4×C31—81no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31—81no—
200C4⋊C4×C31C2×D412yes—
201C4⋊C4×C31#4112yes—
202C22⋊C4×C31—24no—
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—21no—
215C42×C31—21no—
216#26370C3111yesmaximal, characteristic, direct product factor, Sylow
217C23×C31—22no—
218C23×C31—22no—
219C23×C31—22no—
220C23×C31—22no—
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×C31C22×D411yescharacteristic
232D4×C31—22no—
233D4×C31—22no—
234D4×C31—22no—
235D4×C31—22no—
236D4×C31—22no—
237D4×C31—41no—
238D4×C31—41no—
239D4×C31C22⋊Q814yes—
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—22no—
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—21no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—21no—
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—84no—
276C2×C4×C31—84no—
277C2×C4×C31—84no—
278C2×C4×C31—84no—
279C2×C4×C31#13512yes—
280C2×C4×C31C22×D411yescharacteristic
281C2×C4×C31C22×Q811yescharacteristic
282C2×C4×C31C2×#4111yescharacteristic
283C2×C4×C31C2×#4111yescharacteristic
284C2×C4×C31H(5,𝔽2)11yescharacteristic
285C2×C4×C312−1+411yescharacteristic
286C8×C31—22no—
287C8×C31—22no—
288C8×C31—41no—
289C8×C31—41no—
290C2×#478C2×C3111yescharacteristic, complemented
291C2×C4×D8C2×C3111yescharacteristic
292#2454C2×C3111yescharacteristic, complemented
293#2349C2×C3111yescharacteristic, complemented
294#2092C2×C3111yescharacteristic, complemented
295#2085C2×C3111yescharacteristic, complemented
296#2067C2×C3111yescharacteristic, complemented
297#2059C2×C3111yescharacteristic, complemented
298#1942C2×C3111yescharacteristic, complemented
299#1916C2×C3111yescharacteristic, complemented
300#1879C2×C3111yescharacteristic
301#1879C2×C3111yescharacteristic
302#1864C2×C3111yescharacteristic, complemented
303#1864C2×C3111yescharacteristic, complemented
304#1862C2×C3111yescharacteristic, complemented
305C22×C31—24no—
306C22×C31—42no—
307C22×C31—42no—
308C22×C31—42no—
309C22×C31—42no—
310C22×C31—42no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—42no—
314C22×C31—42no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31—81no—
319C22×C31#52511yescharacteristic
320C22×C31D4211yescharacteristic
321C22×C31D4×Q811yescharacteristic
322C22×C31C2×#13511yescharacteristic
323C22×C31#57511yescharacteristic
324C22×C31#57611yescharacteristic
325C22×C31#57611yescharacteristic
326C4×C31—22no—
327C4×C31—41no—
328C4×C31—41no—
329C4×C31—42no—
330C4×C31—41no—
331C4×C31—41no—
332C4×C31—41no—
333C4×C31—42no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31—81no—
337C4×C31—81no—
338C4×C31C2×C22⋊Q811yescharacteristic
339C4×C31#53911yescharacteristic
340C4×C31#54711yescharacteristic
341C4×C31#55411yescharacteristic
342C22×D8C22×C3111yescharacteristic
343C2×#125C22×C3111yescharacteristic
344C2×C4×D4C22×C3111yescharacteristic
345C2×C4×D4C22×C3111yescharacteristic
346C2×C4×D4C22×C3111yescharacteristic
347C2×C4×D4C22×C3111yescharacteristic
348#478—24no—
349C4×D8—24no—
350C2×#107C22×C3111yescharacteristic
351C2×#107C22×C3111yescharacteristic
352C2×#107C22×C3111yescharacteristic
353C2×#106C22×C3111yescharacteristic
354C2×#106C22×C3111yescharacteristic
355C2×C4⋊C8C22×C3111yescharacteristic
356C2×#102C22×C3111yescharacteristic
357C2×#102C22×C3111yescharacteristic
358C2×#102C22×C3111yescharacteristic
359C2×#102C22×C3111yescharacteristic
360C2×#102C22×C3111yescharacteristic
361C2×#102C22×C3111yescharacteristic
362C2×C4×C8C22×C3111yescharacteristic
363#399—21no—
364#396—21no—
365#390C22×C3111yescharacteristic
366#390C22×C3111yescharacteristic
367#389C22×C3111yescharacteristic
368#389C22×C3111yescharacteristic
369#389C22×C3111yescharacteristic
370#389C22×C3111yescharacteristic
371#385—21no—
372#385—21no—
373#385—21no—
374#382C22×C3111yescharacteristic
375#380—21no—
376#380—21no—
377C4×C4⋊C4C22×C3111yescharacteristic
378C2×#95—21no—
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#340C22×C3111yescharacteristic
382#340C22×C3111yescharacteristic
383#336C22×C3111yescharacteristic
384#336C22×C3111yescharacteristic
385#336C22×C3111yescharacteristic
386#336C22×C3111yescharacteristic
387C2×C31—44no—
388C2×C31—82no—
389C2×C31#244911yescharacteristic
390C2×C31#310211yescharacteristic
391C2×C31#312211yescharacteristic
392C2×C31#326811yescharacteristic
393C2×C31#328011yescharacteristic
394C2×C31#338011yescharacteristic
395C2×C31#338911yescharacteristic
396C22×D4C23×C3111yescharacteristic
397C22×D4C23×C3111yescharacteristic
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—21no—
402C2×D8—22no—
403C2×D8—22no—
404C2×D8Q8×C3114yes—
405C22×C8C23×C3111yescharacteristic
406C22×C8C23×C3111yescharacteristic
407C22×C8C23×C3111yescharacteristic
408C22×C8C23×C3111yescharacteristic
409#125—22no—
410#125—41no—
411C4×D4—22no—
412C4×D4—22no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—41no—
417C4×D4—41no—
418C4×D4—41no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
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×C4⋊C4C23×C3111yescharacteristic
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×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C42C23×C3111yescharacteristic
442C2×C42C23×C3111yescharacteristic
443C2×C42C23×C3111yescharacteristic
444#107—22no—
445#107—22no—
446#107—22no—
447#106—22no—
448#106—41no—
449C4⋊C8—22no—
450#102—22no—
451#102—22no—
452#102—22no—
453#102—22no—
454#102—41no—
455#102D4×C3114yes—
456C4×C8—22no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95D4×C3111yescharacteristic
464#95D4×C3111yescharacteristic
465C31#2637011yescharacteristic, direct product factor, Sylow
466C24—21no—
467C24—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4C2×D4×C3112yes—
477C2×D4C2×Q8×C3112yes—
478C2×D4C2×Q8×C3112yes—
479C2×D4#41×C3112yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—24no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4—81no—
498C22×C4C2×D4×C3111yescharacteristic
499C22×C4C2×D4×C3111yescharacteristic
500C22×C4C2×D4×C3111yescharacteristic
501C22×C4C2×D4×C3111yescharacteristic
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C2×D4×C3111yescharacteristic
504C22×C4C24×C3111yescharacteristic
505D8—28no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8C2×D4×C3112yes—
517C2×C8C2×Q8×C3112yes—
518C4⋊C4—22no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C4⋊C4—81no—
536C4⋊C4C2×D4×C3112yes—
537C4⋊C4#41×C3112yes—
538C22⋊C4—24no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C3111yescharacteristic
567D4—22no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4—22no—
572D4—41no—
573D4—41no—
574D4C31×C22⋊Q814yes—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
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—84no—
611C2×C4—84no—
612C2×C4—84no—
613C2×C4—84no—
614C2×C4C31×#13512yes—
615C2×C4C22×D4×C3111yescharacteristic
616C2×C4C22×Q8×C3111yescharacteristic
617C2×C4C2×#41×C3111yescharacteristic
618C2×C4C2×#41×C3111yescharacteristic
619C2×C4C31×H(5,𝔽2)11yescharacteristic
620C2×C4C31×2−1+411yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C22—24no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C31×#52511yescharacteristic
640C22D42×C3111yescharacteristic
641C22D4×Q8×C3111yescharacteristic
642C22C2×C31×#13511yescharacteristic
643C22C31×#57511yescharacteristic
644C22C31×#57611yescharacteristic
645C22C31×#57611yescharacteristic
646C4—22no—
647C4—41no—
648C4—41no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C2×C31×C22⋊Q811yescharacteristic
659C4C31×#53911yescharacteristic
660C4C31×#54711yescharacteristic
661C4C31×#55411yescharacteristic
662C2—44no—
663C2—82no—
664C2C31×#244911yescharacteristic
665C2C31×#310211yescharacteristic
666C2C31×#312211yescharacteristic
667C2C31×#326811yescharacteristic
668C2C31×#328011yescharacteristic
669C2C31×#338011yescharacteristic
670C2C31×#338911yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D8×C31C22
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×#478C2semidirect
3. C31×#2454C2semidirect
4. C31×#2349C2semidirect
5. C31×#2092C2semidirect
6. C31×#2085C2semidirect
7. C31×#2067C2semidirect
8. C31×#2059C2semidirect
9. C31×#1942C2semidirect
10. C31×#1916C2semidirect
13. C31×#1864C2semidirect
14. C31×#1864C2semidirect
15. C31×#1862C2semidirect
216. #26370C31direct (N × H)
290. C2×#478C2×C31semidirect
292. #2454C2×C31semidirect
293. #2349C2×C31semidirect
294. #2092C2×C31semidirect
295. #2085C2×C31semidirect
296. #2067C2×C31semidirect
297. #2059C2×C31semidirect
298. #1942C2×C31semidirect
299. #1916C2×C31semidirect
302. #1864C2×C31semidirect
303. #1864C2×C31semidirect
304. #1862C2×C31semidirect
465. C31#26370direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4782
C2×C4×D8×C312
C31×#24542
C31×#23492
C31×#20922
C31×#20852
C31×#20672
C31×#20592
C31×#19422
C31×#19162
C31×#18792
C31×#18642
C31×#18622
#2637031