Finite Group Databasebeta

← C31×#26206 #21482965

Subgroups — C31×#26206 #21482965

Order 7936.

816 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
1C31×#2417C211yesmaximal, characteristic
2C31×#2352C211yesmaximal, characteristic
3C31×#2101C211yesmaximal, characteristic, complemented
4C31×#2077C211yesmaximal, characteristic, complemented
5C31×#2074C211yesmaximal, characteristic, complemented
6C31×#2035C211yesmaximal, characteristic, complemented
7C31×#1927C211yesmaximal, characteristic, complemented
8C31×#1919C211yesmaximal, characteristic, complemented
9C31×#1892C211yesmaximal, characteristic, complemented
10C31×#1873C211yesmaximal, characteristic, complemented
11C31×#1872C211yesmaximal, characteristic, complemented
12C31×#1869C211yesmaximal, characteristic
13C31×#1853C211yesmaximal, characteristic, complemented
14C31×#1825C211yesmaximal, characteristic, complemented
15C2×C31×#340C211yesmaximal, characteristic, complemented
16C23×C8×C31C2211yescharacteristic
17C2×C31×C22⋊Q8C2211yescharacteristic
18C2×C31×C22⋊Q8C2211yescharacteristic
19C2×C4×D4×C31C2211yescharacteristic
20C2×C31×#117C2211yescharacteristic
21C22×C4⋊C4×C31C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C2×C31×#106C2211yescharacteristic
24C2×C31×#106C2211yescharacteristic
25C2×C31×#103C2211yescharacteristic
26C2×C31×#103C2211yescharacteristic
27C2×C31×#103C2211yescharacteristic
28C2×C31×#103C2211yescharacteristic
29C2×C31×C22⋊C8C2211yescharacteristic
30C2×C31×C22⋊C8C2211yescharacteristic
31C2×C31×C22⋊C8C2211yescharacteristic
32C31×#398—21no—
33C31×#396—21no—
34C31×#391C2211yescharacteristic
35C31×#389C2211yescharacteristic
36C31×#388—21no—
37C31×#387—21no—
38C31×#386—21no—
39C31×#386—21no—
40C31×#382C2211yescharacteristic
41C31×#380—21no—
42C31×#380C2211yescharacteristic
43C31×#380C2211yescharacteristic
44C31×#380C2211yescharacteristic
45C4×C4⋊C4×C31C2211yescharacteristic
46C4×C22⋊C4×C31—21no—
47C31×#340C2211yescharacteristic
48C31×#340C2211yescharacteristic
49C31×#340C2211yescharacteristic
50C31×#340C2211yescharacteristic
51C31×#340C2211yescharacteristic
52C31×#340C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#336C2211yescharacteristic
58C31×#336C2211yescharacteristic
59C22×Q8×C31C2311yescharacteristic
60C22×D4×C31D411yescharacteristic
61C23×C4×C31—21no—
62C23×C4×C31—21no—
63C23×C4×C31C2311yescharacteristic
64C23×C4×C31C2311yescharacteristic
65C22×C8×C31—22no—
66C22×C8×C31—41no—
67C22×C8×C31—41no—
68C22×C8×C31C2311yescharacteristic
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C31×C22⋊Q8—22no—
73C31×C22⋊Q8—22no—
74C31×C22⋊Q8—22no—
75C31×C22⋊Q8—41no—
76C4×D4×C31—22no—
77C4×D4×C31—22no—
78C31×#117—22no—
79C31×#117—41no—
80C2×C4⋊C4×C31—22no—
81C2×C4⋊C4×C31—22no—
82C2×C4⋊C4×C31—21no—
83C2×C4⋊C4×C31—21no—
84C2×C4⋊C4×C31—21no—
85C2×C4⋊C4×C31—21no—
86C2×C4⋊C4×C31—21no—
87C2×C4⋊C4×C31—41no—
88C2×C4⋊C4×C31—41no—
89C2×C4⋊C4×C31D411yescharacteristic
90C2×C4⋊C4×C31C2311yescharacteristic
91C2×C4⋊C4×C31C2311yescharacteristic
92C2×C4⋊C4×C31C2311yescharacteristic
93C2×C4⋊C4×C31C2311yescharacteristic
94C2×C4⋊C4×C31C2311yescharacteristic
95C2×C4⋊C4×C31C2311yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C22⋊C4×C31—21no—
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×C31D411yescharacteristic
104C2×C22⋊C4×C31D411yescharacteristic
105C2×C42×C31—21no—
106C2×C42×C31—21no—
107C2×C42×C31C2311yescharacteristic
108C31×#106—22no—
109C31×#106—41no—
110C31×#103—22no—
111C31×#103—41no—
112C31×#103—41no—
113C31×#103—41no—
114C31×C22⋊C8—22no—
115C31×C22⋊C8—41no—
116C31×C22⋊C8—41no—
117C31×#95—21no—
118C31×#95—21no—
119C31×#95—21no—
120C31×#95—21no—
121C31×#95—21no—
122C31×#95—21no—
123C31×#95—21no—
124C31×#95—21no—
125C31×#95—21no—
126C24×C31C2×D411yescharacteristic
127C24×C31C2×D411yescharacteristic
128C2×Q8×C31—21no—
129C2×Q8×C31—21no—
130C2×Q8×C31—21no—
131C2×Q8×C31—21no—
132C2×Q8×C31—21no—
133C2×Q8×C31—21no—
134C2×D4×C31—22no—
135C2×D4×C31—22no—
136C2×D4×C31—22no—
137C22×C4×C31—21no—
138C22×C4×C31—21no—
139C22×C4×C31—21no—
140C22×C4×C31—21no—
141C22×C4×C31—21no—
142C22×C4×C31—21no—
143C22×C4×C31—21no—
144C22×C4×C31—21no—
145C22×C4×C31—21no—
146C22×C4×C31—21no—
147C22×C4×C31—21no—
148C22×C4×C31—21no—
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—42no—
156C22×C4×C31—42no—
157C22×C4×C31—42no—
158C22×C4×C31—42no—
159C22×C4×C31—81no—
160C22×C4×C31—81no—
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×D411yescharacteristic
165C22×C4×C31#4112yes—
166C22×C4×C31#4112yes—
167C22×C4×C31C2411yescharacteristic
168C2×C8×C31—21no—
169C2×C8×C31—21no—
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×C31—44no—
181C4⋊C4×C31—22no—
182C4⋊C4×C31—21no—
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—21no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—42no—
197C4⋊C4×C31—42no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31#4112yes—
200C4⋊C4×C31#4112yes—
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—
209C42×C31—21no—
210C42×C31—21no—
211C42×C31—42no—
212C42×C31—81no—
213#26206C3111yesmaximal, characteristic, direct product factor, Sylow
214C23×C31—21no—
215C23×C31—21no—
216C23×C31—21no—
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—21no—
224C23×C31—21no—
225C23×C31#12312yes—
226C23×C31#13512yes—
227C23×C31#13712yes—
228C23×C31C22×D411yescharacteristic
229Q8×C31—41no—
230Q8×C31—41no—
231Q8×C31—41no—
232Q8×C31—41no—
233D4×C31—44no—
234C2×C4×C31—21no—
235C2×C4×C31—21no—
236C2×C4×C31—22no—
237C2×C4×C31—22no—
238C2×C4×C31—22no—
239C2×C4×C31—22no—
240C2×C4×C31—21no—
241C2×C4×C31—21no—
242C2×C4×C31—21no—
243C2×C4×C31—21no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—21no—
250C2×C4×C31—21no—
251C2×C4×C31—41no—
252C2×C4×C31—41no—
253C2×C4×C31—41no—
254C2×C4×C31—41no—
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—84no—
278C2×C4×C31—84no—
279C2×C4×C31#12312yes—
280C2×C4×C31C2×#4111yescharacteristic
281C2×C4×C31C2×#4111yescharacteristic
282C2×C4×C31C2×#4111yescharacteristic
283C2×C4×C31C2×#4111yescharacteristic
284C2×C4×C31H(5,𝔽2)11yescharacteristic
285C2×C4×C31H(5,𝔽2)11yescharacteristic
286C8×C31—41no—
287C8×C31—41no—
288C8×C31—41no—
289C8×C31—41no—
290#2417C2×C3111yescharacteristic
291#2352C2×C3111yescharacteristic
292#2101C2×C3111yescharacteristic, complemented
293#2077C2×C3111yescharacteristic, complemented
294#2074C2×C3111yescharacteristic, complemented
295#2035C2×C3111yescharacteristic, complemented
296#1927C2×C3111yescharacteristic, complemented
297#1919C2×C3111yescharacteristic, complemented
298#1892C2×C3111yescharacteristic, complemented
299#1873C2×C3111yescharacteristic, complemented
300#1872C2×C3111yescharacteristic, complemented
301#1869C2×C3111yescharacteristic
302#1853C2×C3111yescharacteristic, complemented
303#1825C2×C3111yescharacteristic, complemented
304C2×#340C2×C3111yescharacteristic, complemented
305C22×C31—22no—
306C22×C31—22no—
307C22×C31—22no—
308C22×C31—22no—
309C22×C31—22no—
310C22×C31—22no—
311C22×C31—41no—
312C22×C31—41no—
313C22×C31—41no—
314C22×C31—41no—
315C22×C31—41no—
316C22×C31—41no—
317C22×C31—41no—
318C22×C31#48514yes—
319C22×C31C2×#12311yescharacteristic
320C22×C31#54611yescharacteristic
321C22×C31#54611yescharacteristic
322C22×C31C2×#13511yescharacteristic
323C22×C31C2×#13711yescharacteristic
324C22×C31#57711yescharacteristic
325C22×C31#57711yescharacteristic
326C4×C31—22no—
327C4×C31—41no—
328C4×C31—41no—
329C4×C31—41no—
330C4×C31—42no—
331C4×C31—42no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31—81no—
337C4×C31—81no—
338C4×C31#52911yescharacteristic
339C4×C31#53811yescharacteristic
340C4×C31#55311yescharacteristic
341C4×C31#55311yescharacteristic
342C23×C8C22×C3111yescharacteristic
343C2×C22⋊Q8C22×C3111yescharacteristic
344C2×C22⋊Q8C22×C3111yescharacteristic
345C2×C4×D4C22×C3111yescharacteristic
346C2×#117C22×C3111yescharacteristic
347C22×C4⋊C4C22×C3111yescharacteristic
348C22×C4⋊C4C22×C3111yescharacteristic
349C2×#106C22×C3111yescharacteristic
350C2×#106C22×C3111yescharacteristic
351C2×#103C22×C3111yescharacteristic
352C2×#103C22×C3111yescharacteristic
353C2×#103C22×C3111yescharacteristic
354C2×#103C22×C3111yescharacteristic
355C2×C22⋊C8C22×C3111yescharacteristic
356C2×C22⋊C8C22×C3111yescharacteristic
357C2×C22⋊C8C22×C3111yescharacteristic
358#398—21no—
359#396—21no—
360#391C22×C3111yescharacteristic
361#389C22×C3111yescharacteristic
362#388—21no—
363#387—21no—
364#386—21no—
365#386—21no—
366#382C22×C3111yescharacteristic
367#380—21no—
368#380C22×C3111yescharacteristic
369#380C22×C3111yescharacteristic
370#380C22×C3111yescharacteristic
371C4×C4⋊C4C22×C3111yescharacteristic
372C4×C22⋊C4—21no—
373#340C22×C3111yescharacteristic
374#340C22×C3111yescharacteristic
375#340C22×C3111yescharacteristic
376#340C22×C3111yescharacteristic
377#340C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#340C22×C3111yescharacteristic
382#340C22×C3111yescharacteristic
383#336C22×C3111yescharacteristic
384#336C22×C3111yescharacteristic
385C2×C31—24no—
386C2×C31—81no—
387C2×C31#244411yescharacteristic
388C2×C31C2×#48511yescharacteristic
389C2×C31#309911yescharacteristic
390C2×C31#329611yescharacteristic
391C2×C31#329611yescharacteristic
392C2×C31#331611yescharacteristic
393C2×C31#332011yescharacteristic
394C22×Q8C23×C3111yescharacteristic
395C22×D4D4×C3111yescharacteristic
396C23×C4—21no—
397C23×C4—21no—
398C23×C4C23×C3111yescharacteristic
399C23×C4C23×C3111yescharacteristic
400C22×C8—22no—
401C22×C8—41no—
402C22×C8—41no—
403C22×C8C23×C3111yescharacteristic
404C22×C8C23×C3111yescharacteristic
405C22×C8C23×C3111yescharacteristic
406C22×C8C23×C3111yescharacteristic
407C22⋊Q8—22no—
408C22⋊Q8—22no—
409C22⋊Q8—22no—
410C22⋊Q8—41no—
411C4×D4—22no—
412C4×D4—22no—
413#117—22no—
414#117—41no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—41no—
424C2×C4⋊C4D4×C3111yescharacteristic
425C2×C4⋊C4C23×C3111yescharacteristic
426C2×C4⋊C4C23×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⋊C4D4×C3111yescharacteristic
439C2×C22⋊C4D4×C3111yescharacteristic
440C2×C42—21no—
441C2×C42—21no—
442C2×C42C23×C3111yescharacteristic
443#106—22no—
444#106—41no—
445#103—22no—
446#103—41no—
447#103—41no—
448#103—41no—
449C22⋊C8—22no—
450C22⋊C8—41no—
451C22⋊C8—41no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461C31#2620611yescharacteristic, direct product factor, Sylow
462C24C2×D4×C3111yescharacteristic
463C24C2×D4×C3111yescharacteristic
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4C2×D4×C3111yescharacteristic
498C22×C4C2×D4×C3111yescharacteristic
499C22×C4C2×D4×C3111yescharacteristic
500C22×C4C2×D4×C3111yescharacteristic
501C22×C4#41×C3112yes—
502C22×C4#41×C3112yes—
503C22×C4C24×C3111yescharacteristic
504C2×C8—21no—
505C2×C8—21no—
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×C8—44no—
517C4⋊C4—22no—
518C4⋊C4—21no—
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—21no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—81no—
535C4⋊C4#41×C3112yes—
536C4⋊C4#41×C3112yes—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—42no—
548C42—81no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23C31×#12312yes—
561C23C31×#13512yes—
562C23C31×#13712yes—
563C23C22×D4×C3111yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568D4—44no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
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—84no—
613C2×C4—84no—
614C2×C4C31×#12312yes—
615C2×C4C2×#41×C3111yescharacteristic
616C2×C4C2×#41×C3111yescharacteristic
617C2×C4C2×#41×C3111yescharacteristic
618C2×C4C2×#41×C3111yescharacteristic
619C2×C4C31×H(5,𝔽2)11yescharacteristic
620C2×C4C31×H(5,𝔽2)11yescharacteristic
621C8—41no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22C31×#48514yes—
639C22C2×C31×#12311yescharacteristic
640C22C31×#54611yescharacteristic
641C22C31×#54611yescharacteristic
642C22C2×C31×#13511yescharacteristic
643C22C2×C31×#13711yescharacteristic
644C22C31×#57711yescharacteristic
645C22C31×#57711yescharacteristic
646C4—22no—
647C4—41no—
648C4—41no—
649C4—41no—
650C4—42no—
651C4—42no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C31×#52911yescharacteristic
659C4C31×#53811yescharacteristic
660C4C31×#55311yescharacteristic
661C4C31×#55311yescharacteristic
662C2—24no—
663C2—81no—
664C2C31×#244411yescharacteristic
665C2C2×C31×#48511yescharacteristic
666C2C31×#309911yescharacteristic
667C2C31×#329611yescharacteristic
668C2C31×#329611yescharacteristic
669C2C31×#331611yescharacteristic
670C2C31×#332011yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutator, Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31D4
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
3. C31×#2101C2semidirect
4. C31×#2077C2semidirect
5. C31×#2074C2semidirect
6. C31×#2035C2semidirect
7. C31×#1927C2semidirect
8. C31×#1919C2semidirect
9. C31×#1892C2semidirect
10. C31×#1873C2semidirect
11. C31×#1872C2semidirect
13. C31×#1853C2semidirect
14. C31×#1825C2semidirect
15. C2×C31×#340C2semidirect
213. #26206C31direct (N × H)
292. #2101C2×C31semidirect
293. #2077C2×C31semidirect
294. #2074C2×C31semidirect
295. #2035C2×C31semidirect
296. #1927C2×C31semidirect
297. #1919C2×C31semidirect
298. #1892C2×C31semidirect
299. #1873C2×C31semidirect
300. #1872C2×C31semidirect
302. #1853C2×C31semidirect
303. #1825C2×C31semidirect
304. C2×#340C2×C31semidirect
461. C31#26206direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#24172
C31×#23522
C31×#21012
C31×#20772
C31×#20742
C31×#20352
C31×#19272
C31×#19192
C31×#18922
C31×#18732
C31×#18722
C31×#18692
C31×#18532
C31×#18252
C2×C31×#3402
#2620631