Finite Group Databasebeta

← C31×#23006 #21479765

Subgroups — C31×#23006 #21479765

Order 7936.

946 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#464C211yesmaximal, characteristic
2C2×C31×#441C211yesmaximal, characteristic, complemented
3C2×C31×#440C211yesmaximal, characteristic
4C31×#2367C211yesmaximal, characteristic
5C31×#2351C211yesmaximal, characteristic, complemented
6C31×#1958C211yesmaximal, characteristic
7C31×#1949C211yesmaximal, characteristic, complemented
8C31×#1936C211yesmaximal, characteristic
9C31×#1935C211yesmaximal, characteristic, complemented
10C31×#1880C211yesmaximal, characteristic
11C31×#1878C211yesmaximal, characteristic, complemented
12C31×#1864C211yesmaximal, characteristic
13C31×#1863C211yesmaximal, characteristic, complemented
14C31×#1770C211yesmaximal, characteristic, complemented
15C4×C31×#103C211yesmaximal, characteristic, complemented
16C22×Q16×C31C2211yescharacteristic
17C22×SD16×C31C2211yescharacteristic
18C2×C31×#124C2211yescharacteristic
19C2×C4×Q8×C31C2211yescharacteristic
20C2×C4×Q8×C31C2211yescharacteristic
21C2×C4×Q8×C31C2211yescharacteristic
22C2×C4×Q8×C31C2211yescharacteristic
23C2×C4×D4×C31C2211yescharacteristic
24C31×#464C418yescomplemented
25C31×#441—24no—
26C31×#440—24no—
27C2×C31×#107C2211yescharacteristic
28C2×C31×#106C2211yescharacteristic
29C2×C31×C4⋊C8C2211yescharacteristic
30C2×C31×#103C2211yescharacteristic
31C2×C31×#103C2211yescharacteristic
32C2×C31×#103C2211yescharacteristic
33C2×C31×#103C2211yescharacteristic
34C2×C31×#103C2211yescharacteristic
35C2×C31×#102C2211yescharacteristic
36C2×C31×#102C2211yescharacteristic
37C2×C31×#102C2211yescharacteristic
38C2×C31×#97C2211yescharacteristic
39C2×C31×#97C2211yescharacteristic
40C2×C4×C8×C31C2211yescharacteristic
41C31×#391C2211yescharacteristic
42C31×#390C2211yescharacteristic
43C31×#389—21no—
44C31×#389—21no—
45C31×#389C2211yescharacteristic
46C31×#389C2211yescharacteristic
47C31×#388—21no—
48C31×#388—21no—
49C31×#385—21no—
50C31×#382—21no—
51C31×#382C2211yescharacteristic
52C4×C4⋊C4×C31—21no—
53C4×C4⋊C4×C31C2211yescharacteristic
54C4×C4⋊C4×C31C2211yescharacteristic
55C4×C22⋊C4×C31—21no—
56C31×#340C2211yescharacteristic
57C31×#340C2211yescharacteristic
58C31×#340C2211yescharacteristic
59C31×#340C2211yescharacteristic
60C31×#336C2211yescharacteristic
61C31×#336C2211yescharacteristic
62C22×Q8×C31C2311yescharacteristic
63C22×Q8×C31C2311yescharacteristic
64C22×D4×C31C2311yescharacteristic
65C23×C4×C31—21no—
66C2×Q16×C31—22no—
67C2×Q16×C31—22no—
68C2×Q16×C31C2×C414yescomplemented
69C2×SD16×C31—22no—
70C2×SD16×C31—22no—
71C2×SD16×C31C2×C414yes—
72C22×C8×C31C2311yescharacteristic
73C22×C8×C31C2311yescharacteristic
74C22×C8×C31C2311yescharacteristic
75C22×C8×C31C2311yescharacteristic
76C31×#124—22no—
77C31×#124C2×C414yes—
78C4×Q8×C31—22no—
79C4×Q8×C31—22no—
80C4×Q8×C31—22no—
81C4×Q8×C31—22no—
82C4×Q8×C31—41no—
83C4×Q8×C31—41no—
84C4×Q8×C31—41no—
85C4×Q8×C31C2×C414yescomplemented
86C4×D4×C31—22no—
87C4×D4×C31—41no—
88C2×C4⋊C4×C31—21no—
89C2×C4⋊C4×C31—21no—
90C2×C4⋊C4×C31—21no—
91C2×C4⋊C4×C31—21no—
92C2×C4⋊C4×C31—21no—
93C2×C4⋊C4×C31—21no—
94C2×C4⋊C4×C31D411yescharacteristic
95C2×C4⋊C4×C31D411yescharacteristic
96C2×C4⋊C4×C31C2311yescharacteristic
97C2×C4⋊C4×C31C2311yescharacteristic
98C2×C4⋊C4×C31C2311yescharacteristic
99C2×C4⋊C4×C31C2311yescharacteristic
100C2×C4⋊C4×C31C2311yescharacteristic
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×C31—21no—
107C2×C42×C31—21no—
108C2×C42×C31—21no—
109C2×C42×C31—21no—
110C2×C42×C31—21no—
111C2×C42×C31C2311yescharacteristic
112C2×C42×C31C2311yescharacteristic
113C2×C42×C31C2311yescharacteristic
114C31×#107—22no—
115C31×#106—22no—
116C31×C4⋊C8C2×C414yescomplemented
117C31×#103—22no—
118C31×#103—22no—
119C31×#103—41no—
120C31×#103C2×C414yescomplemented
121C31×#103D414yes—
122C31×#102—22no—
123C31×#102—41no—
124C31×#102C2×C414yes—
125C31×#97—22no—
126C31×#97—22no—
127C4×C8×C31—22no—
128C31×#95—21no—
129C31×#95—21no—
130C31×#95—21no—
131C31×#95—21no—
132C31×#95—21no—
133C31×#95—21no—
134C31×#95—21no—
135C31×#95D411yescharacteristic
136C31×#95D411yescharacteristic
137C24×C31—21no—
138C2×Q8×C31—21no—
139C2×Q8×C31—21no—
140C2×Q8×C31—21no—
141C2×Q8×C31—21no—
142C2×Q8×C31—21no—
143C2×Q8×C31—21no—
144C2×Q8×C31—21no—
145C2×Q8×C31—21no—
146C2×Q8×C31C22×C412yes—
147C2×Q8×C31C22×C412yes—
148C2×Q8×C31C2×D412yes—
149C2×Q8×C31#4112yes—
150C2×D4×C31—21no—
151C2×D4×C31—21no—
152C2×D4×C31—21no—
153C2×D4×C31—21no—
154C2×D4×C31—21no—
155C2×D4×C31C22×C412yes—
156C22×C4×C31—21no—
157C22×C4×C31—21no—
158C22×C4×C31—21no—
159C22×C4×C31—21no—
160C22×C4×C31—21no—
161C22×C4×C31—21no—
162C22×C4×C31—21no—
163C22×C4×C31—42no—
164C22×C4×C31—42no—
165C22×C4×C31—81no—
166C22×C4×C31C2×D411yescharacteristic
167C22×C4×C31C2×D411yescharacteristic
168C22×C4×C31C2×D411yescharacteristic
169C22×C4×C31C2×D411yescharacteristic
170C22×C4×C31C2×D411yescharacteristic
171C22×C4×C31C2×D411yescharacteristic
172C22×C4×C31C2411yescharacteristic
173Q16×C31—28no—
174SD16×C31—28no—
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×C31C22×C412yes—
185C2×C8×C31C22×C412yes—
186C2×C8×C31C2×D412yes—
187C4⋊C4×C31—24no—
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—21no—
195C4⋊C4×C31—21no—
196C4⋊C4×C31—41no—
197C4⋊C4×C31—41no—
198C4⋊C4×C31—42no—
199C4⋊C4×C31—42no—
200C4⋊C4×C31—42no—
201C4⋊C4×C31—42no—
202C4⋊C4×C31—42no—
203C4⋊C4×C31C22×C412yes—
204C4⋊C4×C31C2×D412yes—
205C22⋊C4×C31—24no—
206C22⋊C4×C31—24no—
207C22⋊C4×C31—42no—
208C22⋊C4×C31—42no—
209C22⋊C4×C31—81no—
210C42×C31—24no—
211C42×C31—21no—
212C42×C31—21no—
213C42×C31—21no—
214C42×C31—21no—
215C42×C31—42no—
216C42×C31—42no—
217C42×C31—42no—
218C42×C31—81no—
219C42×C31C22×C412yes—
220C42×C31#4112yes—
221#23006C3111yesmaximal, characteristic, direct product factor, Sylow
222C23×C31—22no—
223C23×C31—41no—
224C23×C31—41no—
225C23×C31—41no—
226C23×C31—41no—
227C23×C31—41no—
228C23×C31—41no—
229C23×C31C22×D411yescharacteristic
230Q8×C31—22no—
231Q8×C31—22no—
232Q8×C31—22no—
233Q8×C31—22no—
234Q8×C31—22no—
235Q8×C31—41no—
236Q8×C31—41no—
237Q8×C31C4×D414yes—
238D4×C31—22no—
239D4×C31—22no—
240D4×C31—41no—
241D4×C31—41no—
242C2×C4×C31—22no—
243C2×C4×C31—22no—
244C2×C4×C31—22no—
245C2×C4×C31—21no—
246C2×C4×C31—21no—
247C2×C4×C31—21no—
248C2×C4×C31—21no—
249C2×C4×C31—22no—
250C2×C4×C31—22no—
251C2×C4×C31—21no—
252C2×C4×C31—21no—
253C2×C4×C31—21no—
254C2×C4×C31—21no—
255C2×C4×C31—22no—
256C2×C4×C31—21no—
257C2×C4×C31—21no—
258C2×C4×C31—21no—
259C2×C4×C31—21no—
260C2×C4×C31—21no—
261C2×C4×C31—21no—
262C2×C4×C31—21no—
263C2×C4×C31—21no—
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—41no—
278C2×C4×C31—41no—
279C2×C4×C31—84no—
280C2×C4×C31C4×D412yes—
281C2×C4×C31C4×D412yes—
282C2×C4×C31C23×C411yescharacteristic
283C2×C4×C31C22×D411yescharacteristic
284C2×C4×C31C2×#4111yescharacteristic
285C2×C4×C31C2×#4111yescharacteristic
286C2×C4×C31H(5,𝔽2)11yescharacteristic
287C2×C4×C312−1+411yescharacteristic
288C8×C31—22no—
289C8×C31—22no—
290C8×C31—22no—
291C8×C31—41no—
292C2×#464C2×C3111yescharacteristic
293C2×#441C2×C3111yescharacteristic, complemented
294C2×#440C2×C3111yescharacteristic
295#2367C2×C3111yescharacteristic
296#2351C2×C3111yescharacteristic, complemented
297#1958C2×C3111yescharacteristic
298#1949C2×C3111yescharacteristic, complemented
299#1936C2×C3111yescharacteristic
300#1935C2×C3111yescharacteristic, complemented
301#1880C2×C3111yescharacteristic
302#1878C2×C3111yescharacteristic, complemented
303#1864C2×C3111yescharacteristic
304#1863C2×C3111yescharacteristic, complemented
305#1770C2×C3111yescharacteristic, complemented
306C4×#103C2×C3111yescharacteristic, complemented
307C22×C31—42no—
308C22×C31—42no—
309C22×C31—42no—
310C22×C31—81no—
311C22×C31—81no—
312C22×C31—81no—
313C22×C31—81no—
314C22×C31C2×C4×D411yescharacteristic
315C22×C31D4211yescharacteristic
316C22×C31#54811yescharacteristic
317C22×C31#57511yescharacteristic
318C22×C31#57511yescharacteristic
319C22×C31#57711yescharacteristic
320C22×C31#57811yescharacteristic
321C4×C31—24no—
322C4×C31—22no—
323C4×C31—22no—
324C4×C31—42no—
325C4×C31—42no—
326C4×C31—41no—
327C4×C31—41no—
328C4×C31—42no—
329C4×C31—41no—
330C4×C31—41no—
331C4×C31—81no—
332C4×C31—81no—
333C4×C31—81no—
334C4×C31C2×C4×D411yescharacteristic
335C4×C31#52011yescharacteristic
336C4×C31#54711yescharacteristic
337C4×C31#55311yescharacteristic
338C22×Q16C22×C3111yescharacteristic
339C22×SD16C22×C3111yescharacteristic
340C2×#124C22×C3111yescharacteristic
341C2×C4×Q8C22×C3111yescharacteristic
342C2×C4×Q8C22×C3111yescharacteristic
343C2×C4×Q8C22×C3111yescharacteristic
344C2×C4×Q8C22×C3111yescharacteristic
345C2×C4×D4C22×C3111yescharacteristic
346#464C4×C3118yescomplemented
347#441—24no—
348#440—24no—
349C2×#107C22×C3111yescharacteristic
350C2×#106C22×C3111yescharacteristic
351C2×C4⋊C8C22×C3111yescharacteristic
352C2×#103C22×C3111yescharacteristic
353C2×#103C22×C3111yescharacteristic
354C2×#103C22×C3111yescharacteristic
355C2×#103C22×C3111yescharacteristic
356C2×#103C22×C3111yescharacteristic
357C2×#102C22×C3111yescharacteristic
358C2×#102C22×C3111yescharacteristic
359C2×#102C22×C3111yescharacteristic
360C2×#97C22×C3111yescharacteristic
361C2×#97C22×C3111yescharacteristic
362C2×C4×C8C22×C3111yescharacteristic
363#391C22×C3111yescharacteristic
364#390C22×C3111yescharacteristic
365#389—21no—
366#389—21no—
367#389C22×C3111yescharacteristic
368#389C22×C3111yescharacteristic
369#388—21no—
370#388—21no—
371#385—21no—
372#382—21no—
373#382C22×C3111yescharacteristic
374C4×C4⋊C4—21no—
375C4×C4⋊C4C22×C3111yescharacteristic
376C4×C4⋊C4C22×C3111yescharacteristic
377C4×C22⋊C4—21no—
378#340C22×C3111yescharacteristic
379#340C22×C3111yescharacteristic
380#340C22×C3111yescharacteristic
381#340C22×C3111yescharacteristic
382#336C22×C3111yescharacteristic
383#336C22×C3111yescharacteristic
384C2×C31—82no—
385C2×C31#236111yescharacteristic
386C2×C31#294311yescharacteristic
387C2×C31#294711yescharacteristic
388C2×C31#327511yescharacteristic
389C2×C31#327711yescharacteristic
390C2×C31#337111yescharacteristic
391C2×C31#337711yescharacteristic
392C22×Q8C23×C3111yescharacteristic
393C22×Q8C23×C3111yescharacteristic
394C22×D4C23×C3111yescharacteristic
395C23×C4—21no—
396C2×Q16—22no—
397C2×Q16—22no—
398C2×Q16C2×C4×C3114yescomplemented
399C2×SD16—22no—
400C2×SD16—22no—
401C2×SD16C2×C4×C3114yes—
402C22×C8C23×C3111yescharacteristic
403C22×C8C23×C3111yescharacteristic
404C22×C8C23×C3111yescharacteristic
405C22×C8C23×C3111yescharacteristic
406#124—22no—
407#124C2×C4×C3114yes—
408C4×Q8—22no—
409C4×Q8—22no—
410C4×Q8—22no—
411C4×Q8—22no—
412C4×Q8—41no—
413C4×Q8—41no—
414C4×Q8—41no—
415C4×Q8C2×C4×C3114yescomplemented
416C4×D4—22no—
417C4×D4—41no—
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⋊C4D4×C3111yescharacteristic
425C2×C4⋊C4D4×C3111yescharacteristic
426C2×C4⋊C4C23×C3111yescharacteristic
427C2×C4⋊C4C23×C3111yescharacteristic
428C2×C4⋊C4C23×C3111yescharacteristic
429C2×C4⋊C4C23×C3111yescharacteristic
430C2×C4⋊C4C23×C3111yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42C23×C3111yescharacteristic
442C2×C42C23×C3111yescharacteristic
443C2×C42C23×C3111yescharacteristic
444#107—22no—
445#106—22no—
446C4⋊C8C2×C4×C3114yescomplemented
447#103—22no—
448#103—22no—
449#103—41no—
450#103C2×C4×C3114yescomplemented
451#103D4×C3114yes—
452#102—22no—
453#102—41no—
454#102C2×C4×C3114yes—
455#97—22no—
456#97—22no—
457C4×C8—22no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95D4×C3111yescharacteristic
466#95D4×C3111yescharacteristic
467C31#2300611yescharacteristic, direct product factor, Sylow
468C24—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8C22×C4×C3112yes—
478C2×Q8C22×C4×C3112yes—
479C2×Q8C2×D4×C3112yes—
480C2×Q8#41×C3112yes—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4C22×C4×C3112yes—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—81no—
497C22×C4C2×D4×C3111yescharacteristic
498C22×C4C2×D4×C3111yescharacteristic
499C22×C4C2×D4×C3111yescharacteristic
500C22×C4C2×D4×C3111yescharacteristic
501C22×C4C2×D4×C3111yescharacteristic
502C22×C4C2×D4×C3111yescharacteristic
503C22×C4C24×C3111yescharacteristic
504Q16—28no—
505SD16—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×C8C22×C4×C3112yes—
516C2×C8C22×C4×C3112yes—
517C2×C8C2×D4×C3112yes—
518C4⋊C4—24no—
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—41no—
528C4⋊C4—41no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4C22×C4×C3112yes—
535C4⋊C4C2×D4×C3112yes—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C42—24no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—42no—
547C42—42no—
548C42—42no—
549C42—81no—
550C42C22×C4×C3112yes—
551C42#41×C3112yes—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C22×D4×C3111yescharacteristic
560Q8—22no—
561Q8—22no—
562Q8—22no—
563Q8—22no—
564Q8—22no—
565Q8—41no—
566Q8—41no—
567Q8C4×D4×C3114yes—
568D4—22no—
569D4—22no—
570D4—41no—
571D4—41no—
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—22no—
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—84no—
610C2×C4C4×D4×C3112yes—
611C2×C4C4×D4×C3112yes—
612C2×C4C23×C4×C3111yescharacteristic
613C2×C4C22×D4×C3111yescharacteristic
614C2×C4C2×#41×C3111yescharacteristic
615C2×C4C2×#41×C3111yescharacteristic
616C2×C4C31×H(5,𝔽2)11yescharacteristic
617C2×C4C31×2−1+411yescharacteristic
618C8—22no—
619C8—22no—
620C8—22no—
621C8—41no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C2×C4×D4×C3111yescharacteristic
630C22D42×C3111yescharacteristic
631C22C31×#54811yescharacteristic
632C22C31×#57511yescharacteristic
633C22C31×#57511yescharacteristic
634C22C31×#57711yescharacteristic
635C22C31×#57811yescharacteristic
636C4—24no—
637C4—22no—
638C4—22no—
639C4—42no—
640C4—42no—
641C4—41no—
642C4—41no—
643C4—42no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4C2×C4×D4×C3111yescharacteristic
650C4C31×#52011yescharacteristic
651C4C31×#54711yescharacteristic
652C4C31×#55311yescharacteristic
653C2—82no—
654C2C31×#236111yescharacteristic
655C2C31×#294311yescharacteristic
656C2C31×#294711yescharacteristic
657C2C31×#327511yescharacteristic
658C2C31×#327711yescharacteristic
659C2C31×#337111yescharacteristic
660C2C31×#337711yescharacteristic
subgroupG/H
center, socleC23×C31C22×D4
commutatorC2×C4C23×C4×C31
Frattini, cosocleC22×C4C24×C31
prime radicalC22×D4×C31C23
LCSG ▷ C2×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
2. C2×C31×#441C2semidirect
5. C31×#2351C2semidirect
7. C31×#1949C2semidirect
9. C31×#1935C2semidirect
11. C31×#1878C2semidirect
13. C31×#1863C2semidirect
14. C31×#1770C2semidirect
15. C4×C31×#103C2semidirect
24. C31×#464C4semidirect
68. C2×Q16×C31C2×C4semidirect
85. C4×Q8×C31C2×C4semidirect
116. C31×C4⋊C8C2×C4semidirect
120. C31×#103C2×C4semidirect
221. #23006C31direct (N × H)
293. C2×#441C2×C31semidirect
296. #2351C2×C31semidirect
298. #1949C2×C31semidirect
300. #1935C2×C31semidirect
302. #1878C2×C31semidirect
304. #1863C2×C31semidirect
305. #1770C2×C31semidirect
306. C4×#103C2×C31semidirect
346. #464C4×C31semidirect
398. C2×Q16C2×C4×C31semidirect
415. C4×Q8C2×C4×C31semidirect
446. C4⋊C8C2×C4×C31semidirect
450. #103C2×C4×C31semidirect
467. C31#23006direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C31×#4642
C2×C31×#4412
C2×C31×#4402
C31×#23672
C31×#23512
C31×#19582
C31×#19492
C31×#19362
C31×#19352
C31×#18802
C31×#18782
C31×#18642
C31×#18632
C31×#17702
C4×C31×#1032
#2300631