Finite Group Databasebeta

← C31×#34951 #21491710

Subgroups — C31×#34951 #21491710

Order 7936.

1692 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2585C214yesmaximal
2C31×#2582C211yesmaximal, characteristic
3C31×#2568C211yesmaximal, characteristic
4C31×#2552C211yesmaximal, characteristic
5C31×#2546C211yesmaximal, characteristic
6C31×#2511C212yesmaximal
7C31×#2509C212yesmaximal
8C31×#2453C212yesmaximal
9C31×#2446C212yesmaximal
10C31×#2402C214yesmaximal
11C4×C31×C4⋊Q8C212yesmaximal
12C4×C31×C4⋊Q8C211yesmaximal, characteristic
13C4×C31×#125C212yesmaximal
14C31×#2295C212yesmaximal
15C31×#2295C212yesmaximal
16C42×Q8×C31C211yesmaximal, characteristic
17C42×Q8×C31C211yesmaximal, characteristic
18C2×C31×C4⋊Q8C2211yescharacteristic
19C2×C31×C4⋊Q8C2212yes—
20C2×C31×#125C2212yes—
21C2×C4×Q8×C31C2211yescharacteristic
22C2×C4×Q8×C31C2212yes—
23C2×C4×Q8×C31C2211yescharacteristic
24C2×C4×Q8×C31C2211yescharacteristic
25C2×C4×Q8×C31C2211yescharacteristic
26C2×C4×Q8×C31C2211yescharacteristic
27C2×C4×Q8×C31C2211yescharacteristic
28C31×#400C2214yes—
29C31×#400C2214yes—
30C31×#400C2214yes—
31C31×#400C2214yes—
32C31×#398C2214yes—
33C31×#398C2214yes—
34C31×#398C2214yes—
35C31×#398C2214yes—
36C31×#391C2212yes—
37C31×#391C2212yes—
38C31×#391C2212yes—
39C31×#391C2212yes—
40C31×#391C2212yes—
41C31×#391C2212yes—
42C31×#391C2212yes—
43C31×#389C2212yes—
44C31×#389C2214yes—
45C31×#389C2214yes—
46C31×#389C2212yes—
47C31×#389C2212yes—
48C31×#389C2212yes—
49C31×#389C2212yes—
50C31×#389C2212yes—
51C31×#389C2212yes—
52C31×#389C2212yes—
53C31×#387C2214yes—
54C31×#387C2214yes—
55C31×#387C2214yes—
56C31×#387C2214yes—
57C31×#387C2214yes—
58C31×#387C2214yes—
59C31×#384C2211yescharacteristic
60C31×#384C2212yes—
61C31×#382C2212yes—
62C4×C4⋊C4×C31C2212yes—
63C4×C4⋊C4×C31C2214yes—
64C4×C4⋊C4×C31C2214yes—
65C4×C4⋊C4×C31C2212yes—
66C4×C4⋊C4×C31C2211yescharacteristic
67C4×C4⋊C4×C31C2212yes—
68C4×C4⋊C4×C31C2212yes—
69C4×C4⋊C4×C31C2212yes—
70C4×C4⋊C4×C31C2212yes—
71C4×C4⋊C4×C31C2214yes—
72C4×C4⋊C4×C31C2212yes—
73C4×C4⋊C4×C31C2212yes—
74C4×C4⋊C4×C31C2211yescharacteristic
75C4×C4⋊C4×C31C2211yescharacteristic
76C4×C4⋊C4×C31C2211yescharacteristic
77C4×C4⋊C4×C31C2211yescharacteristic
78C4×C4⋊C4×C31C2211yescharacteristic
79C31×#376C2214yes—
80C43×C31C2211yescharacteristic
81C43×C31C2212yes—
82C43×C31C2212yes—
83C22×Q8×C31C2312yes—
84C22×Q8×C31C2311yescharacteristic
85C22×Q8×C31C2311yescharacteristic
86C31×C4⋊Q8—28no—
87C31×C4⋊Q8—24no—
88C31×#125—28no—
89C4×Q8×C31—24no—
90C4×Q8×C31—24no—
91C4×Q8×C31—24no—
92C4×Q8×C31—28no—
93C4×Q8×C31—24no—
94C4×Q8×C31—24no—
95C4×Q8×C31Q818yescomplemented
96C2×C4⋊C4×C31C2312yes—
97C2×C4⋊C4×C31C2312yes—
98C2×C4⋊C4×C31C2312yes—
99C2×C4⋊C4×C31C2312yes—
100C2×C4⋊C4×C31C2312yes—
101C2×C4⋊C4×C31C2314yes—
102C2×C4⋊C4×C31C2314yes—
103C2×C4⋊C4×C31C2314yes—
104C2×C4⋊C4×C31C2314yes—
105C2×C4⋊C4×C31C2311yescharacteristic
106C2×C4⋊C4×C31C2311yescharacteristic
107C2×C4⋊C4×C31C2312yes—
108C2×C4⋊C4×C31C2311yescharacteristic
109C2×C4⋊C4×C31C2311yescharacteristic
110C2×C4⋊C4×C31C2312yes—
111C2×C4⋊C4×C31C2314yes—
112C2×C4⋊C4×C31C2312yes—
113C2×C4⋊C4×C31C2312yes—
114C2×C4⋊C4×C31C2312yes—
115C2×C4⋊C4×C31C2314yes—
116C2×C4⋊C4×C31C2314yes—
117C2×C4⋊C4×C31C2312yes—
118C2×C4⋊C4×C31C2311yescharacteristic
119C2×C4⋊C4×C31C2311yescharacteristic
120C2×C42×C31C2311yescharacteristic
121C2×C42×C31C2311yescharacteristic
122C2×C42×C31C2312yes—
123C2×C42×C31C2312yes—
124C2×C42×C31C2312yes—
125C2×C42×C31C2312yes—
126C2×C42×C31C2312yes—
127C2×C42×C31C2312yes—
128C2×C42×C31C2312yes—
129C2×C42×C31C2314yes—
130C2×C42×C31C2312yes—
131C2×C42×C31C2311yescharacteristic
132C2×C42×C31C2312yes—
133C2×C42×C31C2311yescharacteristic
134C2×C42×C31C2312yes—
135C2×C42×C31C2312yes—
136C2×C42×C31C2311yescharacteristic
137C2×C42×C31C2312yes—
138C2×C42×C31C2311yescharacteristic
139C2×C42×C31C2311yescharacteristic
140C31×#95C2312yes—
141C31×#95C2312yes—
142C31×#95C2314yes—
143C31×#95C2314yes—
144C31×#95C2314yes—
145C31×#95C2314yes—
146C31×#95C2314yes—
147C31×#95C2314yes—
148C31×#95C2314yes—
149C31×#95C2314yes—
150C31×#95C2312yes—
151C31×#95C2312yes—
152C31×#95C2314yes—
153C31×#95C2314yes—
154C31×#95C2314yes—
155C31×#95C2312yes—
156C31×#95C2312yes—
157C31×#95C2314yes—
158C2×Q8×C31—22no—
159C2×Q8×C31—22no—
160C2×Q8×C31—22no—
161C2×Q8×C31—22no—
162C2×Q8×C31—24no—
163C2×Q8×C31—24no—
164C2×Q8×C31—24no—
165C2×Q8×C31C2×Q814yes—
166C2×Q8×C31#4114yes—
167C22×C4×C31C2412yes—
168C22×C4×C31C2411yescharacteristic
169C22×C4×C31C2412yes—
170C22×C4×C31C2412yes—
171C22×C4×C31C2414yes—
172C22×C4×C31C2412yes—
173C22×C4×C31C2414yes—
174C22×C4×C31C2412yes—
175C22×C4×C31C2411yescharacteristic
176C22×C4×C31C2412yes—
177C22×C4×C31C2412yes—
178C22×C4×C31C2411yescharacteristic
179C22×C4×C31C2412yes—
180C22×C4×C31C2411yescharacteristic
181C22×C4×C31C2411yescharacteristic
182C22×C4×C31C2411yescharacteristic
183C22×C4×C31C2411yescharacteristic
184C4⋊C4×C31—24no—
185C4⋊C4×C31—24no—
186C4⋊C4×C31—24no—
187C4⋊C4×C31—24no—
188C4⋊C4×C31—24no—
189C4⋊C4×C31—22no—
190C4⋊C4×C31—22no—
191C4⋊C4×C31—22no—
192C4⋊C4×C31—24no—
193C4⋊C4×C31—22no—
194C4⋊C4×C31—28no—
195C4⋊C4×C31—28no—
196C4⋊C4×C31—28no—
197C4⋊C4×C31—24no—
198C4⋊C4×C31—28no—
199C4⋊C4×C31—28no—
200C4⋊C4×C31—24no—
201C4⋊C4×C31—24no—
202C4⋊C4×C31—44no—
203C4⋊C4×C31—42no—
204C4⋊C4×C31—44no—
205C4⋊C4×C31C2×Q818yes—
206C4⋊C4×C31C2×Q814yes—
207C4⋊C4×C31#4114yes—
208C42×C31—24no—
209C42×C31—24no—
210C42×C31—22no—
211C42×C31—22no—
212C42×C31—24no—
213C42×C31—24no—
214C42×C31—24no—
215C42×C31—28no—
216C42×C31—24no—
217C42×C31—24no—
218C42×C31—22no—
219C42×C31—24no—
220C42×C31—24no—
221C42×C31—41no—
222C42×C31—42no—
223C42×C31—42no—
224C42×C31C2×Q818yes—
225C42×C31C2×Q814yes—
226C42×C31#4114yes—
227C42×C31#4114yes—
228#34951C3111yesmaximal, characteristic, direct product factor, Sylow
229C23×C31C2511yescharacteristic
230Q8×C31—28no—
231Q8×C31—28no—
232Q8×C31—48no—
233C2×C4×C31—21no—
234C2×C4×C31—21no—
235C2×C4×C31—22no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—22no—
241C2×C4×C31—21no—
242C2×C4×C31—22no—
243C2×C4×C31—21no—
244C2×C4×C31—21no—
245C2×C4×C31—21no—
246C2×C4×C31—22no—
247C2×C4×C31—22no—
248C2×C4×C31—22no—
249C2×C4×C31—22no—
250C2×C4×C31—24no—
251C2×C4×C31—22no—
252C2×C4×C31—22no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—22no—
256C2×C4×C31—24no—
257C2×C4×C31—24no—
258C2×C4×C31—24no—
259C2×C4×C31—24no—
260C2×C4×C31—22no—
261C2×C4×C31—22no—
262C2×C4×C31—21no—
263C2×C4×C31—22no—
264C2×C4×C31—22no—
265C2×C4×C31—22no—
266C2×C4×C31—22no—
267C2×C4×C31—24no—
268C2×C4×C31C22×Q812yes—
269C2×C4×C31C22×Q814yes—
270C2×C4×C31C22×Q814yes—
271C2×C4×C31C22×Q812yes—
272C2×C4×C31C22×Q812yes—
273C2×C4×C31C2×#4114yes—
274C2×C4×C31C2×#4114yes—
275C2×C4×C31C2×#4112yes—
276C2×C4×C31C2×#4112yes—
277C2×C4×C31C2×#4112yes—
278C2×C4×C31C2×#4112yes—
279C2×C4×C31C2×#4112yes—
280C2×C4×C31C2×#4112yes—
281C2×C4×C31C2×#4112yes—
282C2×C4×C31C2×#4112yes—
283C2×C4×C312−1+412yes—
284#2585C2×C3114yes—
285#2582C2×C3111yescharacteristic
286#2568C2×C3111yescharacteristic
287#2552C2×C3111yescharacteristic
288#2546C2×C3111yescharacteristic
289#2511C2×C3112yes—
290#2509C2×C3112yes—
291#2453C2×C3112yes—
292#2446C2×C3112yes—
293#2402C2×C3114yes—
294C4×C4⋊Q8C2×C3112yes—
295C4×C4⋊Q8C2×C3111yescharacteristic
296C4×#125C2×C3112yes—
297#2295C2×C3112yes—
298#2295C2×C3112yes—
299C42×Q8C2×C3111yescharacteristic
300C42×Q8C2×C3111yescharacteristic
301C22×C31C23×Q811yescharacteristic
302C22×C31C22×#4111yescharacteristic
303C22×C31C22×#4111yescharacteristic
304C22×C31C22×#4111yescharacteristic
305C22×C31C22×#4111yescharacteristic
306C22×C31C2×2−1+411yescharacteristic
307C22×C31#58511yescharacteristic
308C4×C31—24no—
309C4×C31—24no—
310C4×C31—22no—
311C4×C31—22no—
312C4×C31—24no—
313C4×C31—22no—
314C4×C31—24no—
315C4×C31—44no—
316C4×C31—42no—
317C4×C31—42no—
318C4×C31—42no—
319C4×C31—44no—
320C4×C31—41no—
321C4×C31—42no—
322C4×C31#52914yes—
323C4×C31#53314yes—
324C4×C31#55714yes—
325C2×C4⋊Q8C22×C3111yescharacteristic
326C2×C4⋊Q8C22×C3112yes—
327C2×#125C22×C3112yes—
328C2×C4×Q8C22×C3111yescharacteristic
329C2×C4×Q8C22×C3112yes—
330C2×C4×Q8C22×C3111yescharacteristic
331C2×C4×Q8C22×C3111yescharacteristic
332C2×C4×Q8C22×C3111yescharacteristic
333C2×C4×Q8C22×C3111yescharacteristic
334C2×C4×Q8C22×C3111yescharacteristic
335#400C22×C3114yes—
336#400C22×C3114yes—
337#400C22×C3114yes—
338#400C22×C3114yes—
339#398C22×C3114yes—
340#398C22×C3114yes—
341#398C22×C3114yes—
342#398C22×C3114yes—
343#391C22×C3112yes—
344#391C22×C3112yes—
345#391C22×C3112yes—
346#391C22×C3112yes—
347#391C22×C3112yes—
348#391C22×C3112yes—
349#391C22×C3112yes—
350#389C22×C3112yes—
351#389C22×C3112yes—
352#389C22×C3112yes—
353#389C22×C3114yes—
354#389C22×C3114yes—
355#389C22×C3112yes—
356#389C22×C3112yes—
357#389C22×C3112yes—
358#389C22×C3112yes—
359#389C22×C3112yes—
360#387C22×C3114yes—
361#387C22×C3114yes—
362#387C22×C3114yes—
363#387C22×C3114yes—
364#387C22×C3114yes—
365#387C22×C3114yes—
366#384C22×C3111yescharacteristic
367#384C22×C3112yes—
368#382C22×C3112yes—
369C4×C4⋊C4C22×C3111yescharacteristic
370C4×C4⋊C4C22×C3114yes—
371C4×C4⋊C4C22×C3112yes—
372C4×C4⋊C4C22×C3114yes—
373C4×C4⋊C4C22×C3112yes—
374C4×C4⋊C4C22×C3114yes—
375C4×C4⋊C4C22×C3111yescharacteristic
376C4×C4⋊C4C22×C3112yes—
377C4×C4⋊C4C22×C3112yes—
378C4×C4⋊C4C22×C3112yes—
379C4×C4⋊C4C22×C3112yes—
380C4×C4⋊C4C22×C3112yes—
381C4×C4⋊C4C22×C3112yes—
382C4×C4⋊C4C22×C3111yescharacteristic
383C4×C4⋊C4C22×C3111yescharacteristic
384C4×C4⋊C4C22×C3111yescharacteristic
385C4×C4⋊C4C22×C3111yescharacteristic
386#376C22×C3114yes—
387C43C22×C3112yes—
388C43C22×C3111yescharacteristic
389C43C22×C3112yes—
390C2×C31C2×#52911yescharacteristic
391C2×C31C2×#53311yescharacteristic
392C2×C31#346111yescharacteristic
393C2×C31C2×#55711yescharacteristic
394C2×C31Q8×#4111yescharacteristic
395C2×C31#348011yescharacteristic
396C2×C31#348211yescharacteristic
397C22×Q8C23×C3112yes—
398C22×Q8C23×C3111yescharacteristic
399C22×Q8C23×C3111yescharacteristic
400C4⋊Q8—28no—
401C4⋊Q8—24no—
402#125—28no—
403C4×Q8—24no—
404C4×Q8—24no—
405C4×Q8—24no—
406C4×Q8—28no—
407C4×Q8—24no—
408C4×Q8—24no—
409C4×Q8Q8×C3118yescomplemented
410C2×C4⋊C4C23×C3111yescharacteristic
411C2×C4⋊C4C23×C3111yescharacteristic
412C2×C4⋊C4C23×C3112yes—
413C2×C4⋊C4C23×C3111yescharacteristic
414C2×C4⋊C4C23×C3111yescharacteristic
415C2×C4⋊C4C23×C3112yes—
416C2×C4⋊C4C23×C3112yes—
417C2×C4⋊C4C23×C3112yes—
418C2×C4⋊C4C23×C3112yes—
419C2×C4⋊C4C23×C3112yes—
420C2×C4⋊C4C23×C3114yes—
421C2×C4⋊C4C23×C3114yes—
422C2×C4⋊C4C23×C3112yes—
423C2×C4⋊C4C23×C3114yes—
424C2×C4⋊C4C23×C3112yes—
425C2×C4⋊C4C23×C3114yes—
426C2×C4⋊C4C23×C3114yes—
427C2×C4⋊C4C23×C3112yes—
428C2×C4⋊C4C23×C3114yes—
429C2×C4⋊C4C23×C3112yes—
430C2×C4⋊C4C23×C3114yes—
431C2×C4⋊C4C23×C3112yes—
432C2×C4⋊C4C23×C3111yescharacteristic
433C2×C4⋊C4C23×C3111yescharacteristic
434C2×C42C23×C3112yes—
435C2×C42C23×C3111yescharacteristic
436C2×C42C23×C3111yescharacteristic
437C2×C42C23×C3112yes—
438C2×C42C23×C3112yes—
439C2×C42C23×C3112yes—
440C2×C42C23×C3112yes—
441C2×C42C23×C3114yes—
442C2×C42C23×C3112yes—
443C2×C42C23×C3112yes—
444C2×C42C23×C3112yes—
445C2×C42C23×C3111yescharacteristic
446C2×C42C23×C3112yes—
447C2×C42C23×C3111yescharacteristic
448C2×C42C23×C3112yes—
449C2×C42C23×C3112yes—
450C2×C42C23×C3111yescharacteristic
451C2×C42C23×C3112yes—
452C2×C42C23×C3111yescharacteristic
453C2×C42C23×C3111yescharacteristic
454#95C23×C3114yes—
455#95C23×C3114yes—
456#95C23×C3114yes—
457#95C23×C3114yes—
458#95C23×C3112yes—
459#95C23×C3112yes—
460#95C23×C3112yes—
461#95C23×C3112yes—
462#95C23×C3112yes—
463#95C23×C3112yes—
464#95C23×C3114yes—
465#95C23×C3114yes—
466#95C23×C3114yes—
467#95C23×C3114yes—
468#95C23×C3114yes—
469#95C23×C3114yes—
470#95C23×C3114yes—
471#95C23×C3114yes—
472C31#3495111yescharacteristic, direct product factor, Sylow
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—24no—
478C2×Q8—24no—
479C2×Q8—24no—
480C2×Q8C2×Q8×C3114yes—
481C2×Q8#41×C3114yes—
482C22×C4C24×C3112yes—
483C22×C4C24×C3111yescharacteristic
484C22×C4C24×C3112yes—
485C22×C4C24×C3112yes—
486C22×C4C24×C3114yes—
487C22×C4C24×C3112yes—
488C22×C4C24×C3114yes—
489C22×C4C24×C3112yes—
490C22×C4C24×C3111yescharacteristic
491C22×C4C24×C3112yes—
492C22×C4C24×C3112yes—
493C22×C4C24×C3111yescharacteristic
494C22×C4C24×C3112yes—
495C22×C4C24×C3111yescharacteristic
496C22×C4C24×C3111yescharacteristic
497C22×C4C24×C3111yescharacteristic
498C22×C4C24×C3111yescharacteristic
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—24no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—24no—
508C4⋊C4—22no—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—24no—
513C4⋊C4—28no—
514C4⋊C4—28no—
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—44no—
518C4⋊C4—42no—
519C4⋊C4—44no—
520C4⋊C4C2×Q8×C3118yes—
521C4⋊C4C2×Q8×C3114yes—
522C4⋊C4#41×C3114yes—
523C42—24no—
524C42—24no—
525C42—22no—
526C42—22no—
527C42—24no—
528C42—24no—
529C42—24no—
530C42—28no—
531C42—24no—
532C42—24no—
533C42—22no—
534C42—24no—
535C42—24no—
536C42—41no—
537C42—42no—
538C42—42no—
539C42C2×Q8×C3118yes—
540C42C2×Q8×C3114yes—
541C42#41×C3114yes—
542C42#41×C3114yes—
543C23C25×C3111yescharacteristic
544Q8—28no—
545Q8—28no—
546Q8—48no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4C22×Q8×C3112yes—
583C2×C4C22×Q8×C3114yes—
584C2×C4C22×Q8×C3114yes—
585C2×C4C22×Q8×C3112yes—
586C2×C4C22×Q8×C3112yes—
587C2×C4C2×#41×C3114yes—
588C2×C4C2×#41×C3114yes—
589C2×C4C2×#41×C3112yes—
590C2×C4C2×#41×C3112yes—
591C2×C4C2×#41×C3112yes—
592C2×C4C2×#41×C3112yes—
593C2×C4C2×#41×C3112yes—
594C2×C4C2×#41×C3112yes—
595C2×C4C2×#41×C3112yes—
596C2×C4C2×#41×C3112yes—
597C2×C4C31×2−1+412yes—
598C22C23×Q8×C3111yescharacteristic
599C22C22×#41×C3111yescharacteristic
600C22C22×#41×C3111yescharacteristic
601C22C22×#41×C3111yescharacteristic
602C22C22×#41×C3111yescharacteristic
603C22C2×C31×2−1+411yescharacteristic
604C22C31×#58511yescharacteristic
605C4—24no—
606C4—24no—
607C4—22no—
608C4—22no—
609C4—24no—
610C4—22no—
611C4—24no—
612C4—44no—
613C4—42no—
614C4—42no—
615C4—42no—
616C4—44no—
617C4—41no—
618C4—42no—
619C4C31×#52914yes—
620C4C31×#53314yes—
621C4C31×#55714yes—
622C2C2×C31×#52911yescharacteristic
623C2C2×C31×#53311yescharacteristic
624C2C31×#346111yescharacteristic
625C2C2×C31×#55711yescharacteristic
626C2Q8×#41×C3111yescharacteristic
627C2C31×#348011yescharacteristic
628C2C31×#348211yescharacteristic
subgroupG/H
centerC22×C4×C31C24
commutator, Frattini, cosocleC23C25×C31
socle, prime radicalC23×C31C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C31 ◁ G

Complements

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

NH ≅ G/Ntype
95. C4×Q8×C31Q8semidirect
228. #34951C31direct (N × H)
409. C4×Q8Q8×C31semidirect
472. C31#34951direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#25852
C31×#25822
C31×#25682
C31×#25522
C31×#25462
C31×#25112
C31×#25092
C31×#24532
C31×#24462
C31×#24022
C4×C31×C4⋊Q82
C4×C31×#1252
C31×#22952
C42×Q8×C312
#3495131