Finite Group Databasebeta

← C31×#26364 #21483123

Subgroups — C31×#26364 #21483123

Order 7936.

896 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#478C211yesmaximal, characteristic, complemented
2C2×C31×#428C211yesmaximal, characteristic, complemented
3C31×#2441C211yesmaximal, characteristic, complemented
4C31×#2361C211yesmaximal, characteristic
5C31×#2093C211yesmaximal, characteristic, complemented
6C31×#2087C211yesmaximal, characteristic, complemented
7C31×#2065C211yesmaximal, characteristic, complemented
8C31×#2059C211yesmaximal, characteristic, complemented
9C31×#1947C211yesmaximal, characteristic, complemented
10C31×#1920C211yesmaximal, characteristic, complemented
11C31×#1895C211yesmaximal, characteristic
12C31×#1875C211yesmaximal, characteristic
13C31×#1862C211yesmaximal, characteristic, complemented
14C31×#1852C211yesmaximal, characteristic, complemented
15C31×#1851C211yesmaximal, characteristic, complemented
16C22×M16×C31C2211yescharacteristic
17C2×C31×#125C2211yescharacteristic
18C2×C31×#121C2211yescharacteristic
19C2×C4×D4×C31—21no—
20C2×C4×D4×C31C2211yescharacteristic
21C2×C31×#117C2211yescharacteristic
22C22×C4⋊C4×C31C2211yescharacteristic
23C31×#478—24no—
24C31×#428—24no—
25C2×C31×#107C2211yescharacteristic
26C2×C31×#107C2211yescharacteristic
27C2×C31×#107C2211yescharacteristic
28C2×C31×#107C2211yescharacteristic
29C2×C31×#106C2211yescharacteristic
30C2×C31×#106C2211yescharacteristic
31C2×C31×C4⋊C8C2211yescharacteristic
32C2×C31×C4⋊C8C2211yescharacteristic
33C2×C31×#102C2211yescharacteristic
34C2×C31×#102C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×#102C2211yescharacteristic
37C2×C31×C22⋊C8C2211yescharacteristic
38C31×#399—21no—
39C31×#396—21no—
40C31×#390C2211yescharacteristic
41C31×#389—21no—
42C31×#389C2211yescharacteristic
43C31×#389C2211yescharacteristic
44C31×#389C2211yescharacteristic
45C31×#388—21no—
46C31×#387—21no—
47C31×#386—21no—
48C31×#385—21no—
49C31×#384C2211yescharacteristic
50C31×#380C2211yescharacteristic
51C4×C4⋊C4×C31C2211yescharacteristic
52C4×C22⋊C4×C31C2211yescharacteristic
53C31×#340C2211yescharacteristic
54C31×#340C2211yescharacteristic
55C31×#340C2211yescharacteristic
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#336C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C22×D4×C31—21no—
62C22×D4×C31C2311yescharacteristic
63C23×C4×C31—21no—
64C23×C4×C31—21no—
65C23×C4×C31C2311yescharacteristic
66C2×M16×C31—22no—
67C2×M16×C31—22no—
68C2×M16×C31—22no—
69C22×C8×C31C2311yescharacteristic
70C22×C8×C31C2311yescharacteristic
71C22×C8×C31C2311yescharacteristic
72C22×C8×C31C2311yescharacteristic
73C31×#125—22no—
74C31×#125—41no—
75C31×#121—22no—
76C31×#121Q814yes—
77C4×D4×C31—22no—
78C4×D4×C31—41no—
79C4×D4×C31—44no—
80C31×#117—22no—
81C31×#117—41no—
82C2×C4⋊C4×C31—22no—
83C2×C4⋊C4×C31—21no—
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×C31—21no—
91C2×C4⋊C4×C31—41no—
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×C4⋊C4×C31C2311yescharacteristic
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×C31D411yescharacteristic
106C2×C22⋊C4×C31D411yescharacteristic
107C2×C42×C31—21no—
108C2×C42×C31—21no—
109C2×C42×C31C2311yescharacteristic
110C2×C42×C31C2311yescharacteristic
111C31×#107—22no—
112C31×#107—22no—
113C31×#107—22no—
114C31×#107—41no—
115C31×#106—22no—
116C31×#106D414yescomplemented
117C31×C4⋊C8—22no—
118C31×C4⋊C8—22no—
119C31×#102—22no—
120C31×#102—22no—
121C31×#102—22no—
122C31×#102—41no—
123C31×C22⋊C8—22no—
124C31×#95—21no—
125C31×#95—21no—
126C31×#95—21no—
127C31×#95—21no—
128C31×#95—21no—
129C31×#95D411yescharacteristic
130C31×#95D411yescharacteristic
131C24×C31—21no—
132C24×C31C2×D411yescharacteristic
133C2×D4×C31—24no—
134C2×D4×C31—21no—
135C2×D4×C31—21no—
136C2×D4×C31—21no—
137C2×D4×C31—21no—
138C2×D4×C31—21no—
139C2×D4×C31—42no—
140C2×D4×C31—42no—
141C2×D4×C31C2×Q812yes—
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—42no—
154C22×C4×C31—42no—
155C22×C4×C31—42no—
156C22×C4×C31—42no—
157C22×C4×C31—81no—
158C22×C4×C31—81no—
159C22×C4×C31C2×D411yescharacteristic
160C22×C4×C31C2×D411yescharacteristic
161C22×C4×C31C2×D411yescharacteristic
162C22×C4×C31C2×D411yescharacteristic
163C22×C4×C31C2×D411yescharacteristic
164C22×C4×C31C2×Q812yes—
165C22×C4×C31#4112yes—
166C22×C4×C31C2411yescharacteristic
167M16×C31—28no—
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×C31C2×D412yes—
179C2×C8×C31#4112yes—
180C4⋊C4×C31—21no—
181C4⋊C4×C31—21no—
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—42no—
192C4⋊C4×C31—42no—
193C4⋊C4×C31—42no—
194C4⋊C4×C31—42no—
195C4⋊C4×C31—42no—
196C4⋊C4×C31—42no—
197C4⋊C4×C31—81no—
198C4⋊C4×C31—81no—
199C4⋊C4×C31C2×D412yes—
200C4⋊C4×C31C2×D412yes—
201C4⋊C4×C31C2×Q812yes—
202C22⋊C4×C31—24no—
203C22⋊C4×C31—22no—
204C22⋊C4×C31—41no—
205C22⋊C4×C31—42no—
206C22⋊C4×C31—42no—
207C22⋊C4×C31—42no—
208C22⋊C4×C31—81no—
209C22⋊C4×C31—81no—
210C42×C31—21no—
211C42×C31—21no—
212C42×C31—21no—
213C42×C31—21no—
214C42×C31—42no—
215C42×C31—42no—
216#26364C3111yesmaximal, characteristic, direct product factor, Sylow
217C23×C31—21no—
218C23×C31—21no—
219C23×C31—21no—
220C23×C31—21no—
221C23×C31—21no—
222C23×C31—21no—
223C23×C31—22no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31—41no—
230C23×C31C22⋊Q812yes—
231C23×C31C22×D411yescharacteristic
232D4×C31—22no—
233D4×C31—22no—
234D4×C31—48no—
235D4×C31—41no—
236D4×C31—41no—
237C2×C4×C31—21no—
238C2×C4×C31—21no—
239C2×C4×C31—21no—
240C2×C4×C31—21no—
241C2×C4×C31—22no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—22no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—22no—
249C2×C4×C31—22no—
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—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—84no—
276C2×C4×C31—84no—
277C2×C4×C31C22⋊Q812yes—
278C2×C4×C31AGL(1,ℤ/8)12yes—
279C2×C4×C31C22×D411yescharacteristic
280C2×C4×C31C22×Q811yescharacteristic
281C2×C4×C31C2×#4111yescharacteristic
282C2×C4×C31C2×#4111yescharacteristic
283C2×C4×C31H(5,𝔽2)11yescharacteristic
284C2×C4×C312−1+411yescharacteristic
285C8×C31—22no—
286C8×C31—22no—
287C8×C31—41no—
288C8×C31—41no—
289C2×#478C2×C3111yescharacteristic, complemented
290C2×#428C2×C3111yescharacteristic, complemented
291#2441C2×C3111yescharacteristic, complemented
292#2361C2×C3111yescharacteristic
293#2093C2×C3111yescharacteristic, complemented
294#2087C2×C3111yescharacteristic, complemented
295#2065C2×C3111yescharacteristic, complemented
296#2059C2×C3111yescharacteristic, complemented
297#1947C2×C3111yescharacteristic, complemented
298#1920C2×C3111yescharacteristic, complemented
299#1895C2×C3111yescharacteristic
300#1875C2×C3111yescharacteristic
301#1862C2×C3111yescharacteristic, complemented
302#1852C2×C3111yescharacteristic, complemented
303#1851C2×C3111yescharacteristic, complemented
304C22×C31—22no—
305C22×C31—22no—
306C22×C31—22no—
307C22×C31—41no—
308C22×C31—41no—
309C22×C31—41no—
310C22×C31—41no—
311C22×C31—42no—
312C22×C31—42no—
313C22×C31—42no—
314C22×C31—81no—
315C22×C31—81no—
316C22×C31—81no—
317C22×C31—81no—
318C22×C31C2×C22⋊Q811yescharacteristic
319C22×C31D4211yescharacteristic
320C22×C31#54711yescharacteristic
321C22×C31C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C31#57511yescharacteristic
323C22×C31#57611yescharacteristic
324C22×C31#57811yescharacteristic
325C4×C31—22no—
326C4×C31—22no—
327C4×C31—42no—
328C4×C31—41no—
329C4×C31—41no—
330C4×C31—42no—
331C4×C31—41no—
332C4×C31—42no—
333C4×C31—81no—
334C4×C31—81no—
335C4×C31—81no—
336C4×C31—81no—
337C4×C31#52511yescharacteristic
338C4×C31#53911yescharacteristic
339C4×C31D4×Q811yescharacteristic
340C4×C31#55411yescharacteristic
341C22×M16C22×C3111yescharacteristic
342C2×#125C22×C3111yescharacteristic
343C2×#121C22×C3111yescharacteristic
344C2×C4×D4—21no—
345C2×C4×D4C22×C3111yescharacteristic
346C2×#117C22×C3111yescharacteristic
347C22×C4⋊C4C22×C3111yescharacteristic
348#478—24no—
349#428—24no—
350C2×#107C22×C3111yescharacteristic
351C2×#107C22×C3111yescharacteristic
352C2×#107C22×C3111yescharacteristic
353C2×#107C22×C3111yescharacteristic
354C2×#106C22×C3111yescharacteristic
355C2×#106C22×C3111yescharacteristic
356C2×C4⋊C8C22×C3111yescharacteristic
357C2×C4⋊C8C22×C3111yescharacteristic
358C2×#102C22×C3111yescharacteristic
359C2×#102C22×C3111yescharacteristic
360C2×#102C22×C3111yescharacteristic
361C2×#102C22×C3111yescharacteristic
362C2×C22⋊C8C22×C3111yescharacteristic
363#399—21no—
364#396—21no—
365#390C22×C3111yescharacteristic
366#389—21no—
367#389C22×C3111yescharacteristic
368#389C22×C3111yescharacteristic
369#389C22×C3111yescharacteristic
370#388—21no—
371#387—21no—
372#386—21no—
373#385—21no—
374#384C22×C3111yescharacteristic
375#380C22×C3111yescharacteristic
376C4×C4⋊C4C22×C3111yescharacteristic
377C4×C22⋊C4C22×C3111yescharacteristic
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#340C22×C3111yescharacteristic
382#340C22×C3111yescharacteristic
383#340C22×C3111yescharacteristic
384#336C22×C3111yescharacteristic
385#336C22×C3111yescharacteristic
386C2×C31—42no—
387C2×C31—82no—
388C2×C31#244911yescharacteristic
389C2×C31#307711yescharacteristic
390C2×C31#308311yescharacteristic
391C2×C31#326911yescharacteristic
392C2×C31#327411yescharacteristic
393C2×C31#334311yescharacteristic
394C2×C31#335511yescharacteristic
395C22×D4—21no—
396C22×D4C23×C3111yescharacteristic
397C23×C4—21no—
398C23×C4—21no—
399C23×C4C23×C3111yescharacteristic
400C2×M16—22no—
401C2×M16—22no—
402C2×M16—22no—
403C22×C8C23×C3111yescharacteristic
404C22×C8C23×C3111yescharacteristic
405C22×C8C23×C3111yescharacteristic
406C22×C8C23×C3111yescharacteristic
407#125—22no—
408#125—41no—
409#121—22no—
410#121Q8×C3114yes—
411C4×D4—22no—
412C4×D4—41no—
413C4×D4—44no—
414#117—22no—
415#117—41no—
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—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—41no—
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×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⋊C4D4×C3111yescharacteristic
440C2×C22⋊C4D4×C3111yescharacteristic
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C3111yescharacteristic
444C2×C42C23×C3111yescharacteristic
445#107—22no—
446#107—22no—
447#107—22no—
448#107—41no—
449#106—22no—
450#106D4×C3114yescomplemented
451C4⋊C8—22no—
452C4⋊C8—22no—
453#102—22no—
454#102—22no—
455#102—22no—
456#102—41no—
457C22⋊C8—22no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95D4×C3111yescharacteristic
464#95D4×C3111yescharacteristic
465C31#2636411yescharacteristic, direct product factor, Sylow
466C24—21no—
467C24C2×D4×C3111yescharacteristic
468C2×D4—24no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4C2×Q8×C3112yes—
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—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4—81no—
494C22×C4C2×D4×C3111yescharacteristic
495C22×C4C2×D4×C3111yescharacteristic
496C22×C4C2×D4×C3111yescharacteristic
497C22×C4C2×D4×C3111yescharacteristic
498C22×C4C2×D4×C3111yescharacteristic
499C22×C4C2×Q8×C3112yes—
500C22×C4#41×C3112yes—
501C22×C4C24×C3111yescharacteristic
502M16—28no—
503C2×C8—21no—
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×C8C2×D4×C3112yes—
514C2×C8#41×C3112yes—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
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—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C4⋊C4—81no—
534C4⋊C4C2×D4×C3112yes—
535C4⋊C4C2×D4×C3112yes—
536C4⋊C4C2×Q8×C3112yes—
537C22⋊C4—24no—
538C22⋊C4—22no—
539C22⋊C4—41no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—42no—
550C42—42no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—22no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C31×C22⋊Q812yes—
565C23C22×D4×C3111yescharacteristic
566D4—22no—
567D4—22no—
568D4—48no—
569D4—41no—
570D4—41no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
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—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—84no—
610C2×C4—84no—
611C2×C4C31×C22⋊Q812yes—
612C2×C4C31×AGL(1,ℤ/8)12yes—
613C2×C4C22×D4×C3111yescharacteristic
614C2×C4C22×Q8×C3111yescharacteristic
615C2×C4C2×#41×C3111yescharacteristic
616C2×C4C2×#41×C3111yescharacteristic
617C2×C4C31×H(5,𝔽2)11yescharacteristic
618C2×C4C31×2−1+411yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22C2×C31×C22⋊Q811yescharacteristic
638C22D42×C3111yescharacteristic
639C22C31×#54711yescharacteristic
640C22C2×C31×AGL(1,ℤ/8)11yescharacteristic
641C22C31×#57511yescharacteristic
642C22C31×#57611yescharacteristic
643C22C31×#57811yescharacteristic
644C4—22no—
645C4—22no—
646C4—42no—
647C4—41no—
648C4—41no—
649C4—42no—
650C4—41no—
651C4—42no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4C31×#52511yescharacteristic
657C4C31×#53911yescharacteristic
658C4D4×Q8×C3111yescharacteristic
659C4C31×#55411yescharacteristic
660C2—42no—
661C2—82no—
662C2C31×#244911yescharacteristic
663C2C31×#307711yescharacteristic
664C2C31×#308311yescharacteristic
665C2C31×#326911yescharacteristic
666C2C31×#327411yescharacteristic
667C2C31×#334311yescharacteristic
668C2C31×#335511yescharacteristic
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
1. C2×C31×#478C2semidirect
2. C2×C31×#428C2semidirect
3. C31×#2441C2semidirect
5. C31×#2093C2semidirect
6. C31×#2087C2semidirect
7. C31×#2065C2semidirect
8. C31×#2059C2semidirect
9. C31×#1947C2semidirect
10. C31×#1920C2semidirect
13. C31×#1862C2semidirect
14. C31×#1852C2semidirect
15. C31×#1851C2semidirect
116. C31×#106D4semidirect
216. #26364C31direct (N × H)
289. C2×#478C2×C31semidirect
290. C2×#428C2×C31semidirect
291. #2441C2×C31semidirect
293. #2093C2×C31semidirect
294. #2087C2×C31semidirect
295. #2065C2×C31semidirect
296. #2059C2×C31semidirect
297. #1947C2×C31semidirect
298. #1920C2×C31semidirect
301. #1862C2×C31semidirect
302. #1852C2×C31semidirect
303. #1851C2×C31semidirect
450. #106D4×C31semidirect
465. C31#26364direct (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×C31×#4282
C31×#24412
C31×#23612
C31×#20932
C31×#20872
C31×#20652
C31×#20592
C31×#19472
C31×#19202
C31×#18952
C31×#18752
C31×#18622
C31×#18522
C31×#18512
#2636431