Finite Group Databasebeta

← #14771959

Subgroups — #14771959

Order 2816.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622624C211yesmaximal, characteristic
2C2×#10622608C211yesmaximal, characteristic, complemented
3C22×#66871C211yesmaximal, characteristic, complemented
4D4×C4⋊Dic11C211yesmaximal, characteristic
5#13069382C211yesmaximal, characteristic, complemented
6#13069374C211yesmaximal, characteristic, complemented
7#13068815C211yesmaximal, characteristic, complemented
8#13068808C211yesmaximal, characteristic, complemented
9#13068804C211yesmaximal, characteristic, complemented
10#13068803C211yesmaximal, characteristic, complemented
11#13068785C211yesmaximal, characteristic, complemented
12#13068647C211yesmaximal, characteristic, complemented
13#13068639C211yesmaximal, characteristic, complemented
14#13068514C211yesmaximal, characteristic, complemented
15C11×#2352C211yesmaximal, characteristic
16C2×C4×D4×C11C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×D4×Dic11—21no—
20C22×C4⋊Dic11C2211yescharacteristic
21C22×C4⋊Dic11C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C23×C11⋊C8C2211yescharacteristic
24C11×#388—21no—
25C11×#387—21no—
26C11×#386—21no—
27C11×#382C2211yescharacteristic
28C11×#380C2211yescharacteristic
29C11×#380C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31C4×C11×C22⋊C4—21no—
32#10622825C2211yescharacteristic
33#10622825C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36#10622624C418yescomplemented
37#10622608—24no—
38#10622598—21no—
39C2×#66872C2211yescharacteristic
40C2×#66872C2211yescharacteristic
41C2×#66872C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66871—24no—
44C2×#66871C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49C2×#66871C2211yescharacteristic
50#10622563—21no—
51#10622563—21no—
52#10622548C2211yescharacteristic
53C4×C4⋊Dic11C2211yescharacteristic
54C2×C4⋊(C11⋊C8)C2211yescharacteristic
55C2×#66867C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11D411yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×Dic11—21no—
67C23×Dic11—21no—
68C4×D4×C11C2×C414yes—
69C4×D4×C11Q814yes—
70C11×#117—22no—
71C11×#117—41no—
72C2×C11×C4⋊C4—22no—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—41no—
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4D411yescharacteristic
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C42×C11—21no—
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90D4×Dic11—44no—
91C2×C4⋊Dic11—22no—
92C2×C4⋊Dic11—22no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11—41no—
98C2×C4⋊Dic11—41no—
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4×Dic11—21no—
104C2×#4318—22no—
105C2×#4318—22no—
106C2×#4318C2×C414yescomplemented
107C22×C11⋊C8—22no—
108C22×C11⋊C8—22no—
109C22×C11⋊C8C2×C414yescomplemented
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C22⋊(C11⋊C8)C2×C414yescomplemented
123C22⋊(C11⋊C8)C2×C414yescomplemented
124#66872—22no—
125#66872—22no—
126#66872—22no—
127#66872—41no—
128#66871—22no—
129#66871—22no—
130#66871—22no—
131#66871—22no—
132#66871—41no—
133#66871D414yescomplemented
134C4⋊(C11⋊C8)C2×C414yescomplemented
135#66867C2×C414yescomplemented
136#22661—111nomaximal, Sylow
137C24×C11C2×D411yescharacteristic
138C24×C11C2×D411yescharacteristic
139C2×D4×C11—22no—
140C2×D4×C11—22no—
141C2×D4×C11C4⋊C414yes—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11—81no—
157C22×C4×C11C22×C412yes—
158C22×C4×C11C22×C412yes—
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×Q812yes—
164C22×C4×C11C2×Q812yes—
165C22×C4×C11C2411yescharacteristic
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—42no—
171C22×Dic11—42no—
172C22×Dic11—42no—
173C22×Dic11—42no—
174C22×Dic11—81no—
175C22×Dic11—81no—
176C11×C4⋊C4—21no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—42no—
184C11×C4⋊C4C4⋊C414yes—
185C11×C4⋊C4C2×D412yes—
186C11×C22⋊C4—42no—
187C11×C22⋊C4—42no—
188C11×C22⋊C4—81no—
189C11×C22⋊C4C4⋊C414yes—
190C11×C22⋊C4C4⋊C414yes—
191C42×C11—42no—
192C42×C11—81no—
193C42×C11C22×C412yes—
194C42×C11C2×Q812yes—
195C22⋊Dic11—42no—
196C22⋊Dic11—42no—
197C4⋊Dic11—21no—
198C4⋊Dic11—21no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—42no—
205C4⋊Dic11—42no—
206C4⋊Dic11—42no—
207C4⋊Dic11—81no—
208C4⋊Dic11C2×D412yes—
209C4×Dic11—42no—
210#4318—28no—
211C2×C11⋊C8—28no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8C22×C412yes—
219C2×C11⋊C8C22×C412yes—
220C2×C11⋊C8C22×C412yes—
221C2×C11⋊C8C22×C412yes—
222C2×C11⋊C8C2×D412yes—
223C2×C11⋊C8#4112yes—
224C2×#435—111no—
225C2×#428—111no—
226C22×#107—111no—
227#2352D1111yescharacteristic
228D4×C4⋊C4—111no—
229#1949—111no—
230#1947—111no—
231#1854—111no—
232#1853—111no—
233#1852—111no—
234#1852—111no—
235#1847—111no—
236#1809—111no—
237#1807—111no—
238#1776—111no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11C2×C4⋊C412yes—
250C23×C11C2×C4⋊C412yes—
251C23×C11AGL(1,ℤ/8)12yes—
252C23×C11#13712yes—
253C23×C11C22×D411yescharacteristic
254D4×C11—28no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—84no—
284C2×C4×C11C2×C4⋊C412yes—
285C2×C4×C11C2×C4⋊C412yes—
286C2×C4×C11C2×C4⋊C412yes—
287C2×C4×C11C2×C4⋊C412yes—
288C2×C4×C11C23×C411yescharacteristic
289C2×C4×C11C22×D411yescharacteristic
290C2×C4×C11C22×Q811yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11H(5,𝔽2)11yescharacteristic
293C2×C4×C112−1+411yescharacteristic
294C2×Dic11—22no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—84no—
307C2×Dic11—84no—
308C11⋊C8—22no—
309C11⋊C8—22no—
310C11⋊C8—22no—
311C11⋊C8C4×D414yescomplemented
312C22×M16—111no—
313C23×C8—111no—
314C2×C4×D4—221no—
315C2×C4×D4C2×D1111yescharacteristic
316C2×#117C2×D1111yescharacteristic
317C22×C4⋊C4—111no—
318C22×C4⋊C4—111no—
319C22×C4⋊C4C2×D1111yescharacteristic
320#435—118no—
321#428—224no—
322C2×#107—111no—
323C2×#107—111no—
324C2×#107—111no—
325C2×#107—111no—
326C2×#107—111no—
327C2×#107—111no—
328C2×#107—224no—
329C2×#106—111no—
330C2×#106—111no—
331C2×#106—111no—
332C2×#106—111no—
333C2×C4⋊C8—111no—
334C2×C22⋊C8—111no—
335C2×C22⋊C8—111no—
336C2×#97—111no—
337#389—221no—
338#388—21no—
339#387—21no—
340#386—21no—
341#385—221no—
342#385—221no—
343#384—111no—
344#382C2×D1111yescharacteristic
345#380—111no—
346#380—111no—
347#380C2×D1111yescharacteristic
348#380C2×D1111yescharacteristic
349C4×C4⋊C4—111no—
350C4×C4⋊C4C2×D1111yescharacteristic
351C4×C22⋊C4—21no—
352#340—111no—
353#340—111no—
354#340—111no—
355#340—111no—
356#340—111no—
357#340—111no—
358C22×C11—22no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—22no—
362C22×C11—22no—
363C22×C11—22no—
364C22×C11—22no—
365C22×C11—22no—
366C22×C11—22no—
367C22×C11—41no—
368C22×C11—41no—
369C22×C11—41no—
370C22×C11—41no—
371C22×C11#42814yescomplemented
372C22×C11C22×C4⋊C411yescharacteristic
373C22×C11D4211yescharacteristic
374C22×C11#54711yescharacteristic
375C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
376C22×C11C2×#13711yescharacteristic
377C22×C11#57611yescharacteristic
378C22×C11#57811yescharacteristic
379C4×C11—22no—
380C4×C11—22no—
381C4×C11—22no—
382C4×C11—22no—
383C4×C11—42no—
384C4×C11—81no—
385C4×C11—81no—
386C4×C11—81no—
387C4×C11C2×C4×D411yescharacteristic
388C4×C11#52011yescharacteristic
389C4×C11D4×Q811yescharacteristic
390C4×C11#55411yescharacteristic
391Dic11—42no—
392Dic11—81no—
393Dic11—81no—
394Dic11—81no—
395C22×D4C22⋊D1111yescharacteristic
396C23×C4—21no—
397C23×C4—221no—
398C23×C4—221no—
399C23×C4C22×D1111yescharacteristic
400C23×C4C22×D1111yescharacteristic
401C2×M16—114no—
402C2×M16—222no—
403C2×M16—222no—
404C22×C8—111no—
405C22×C8—114no—
406C22×C8—111no—
407C22×C8—111no—
408C22×C8—111no—
409C22×C8—222no—
410C22×C8—222no—
411C4×D4—444no—
412C4×D4Dic2214yes—
413C4×D4C4×D1114yes—
414#117—22no—
415#117—41no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—41no—
419C2×C4⋊C4—111no—
420C2×C4⋊C4—111no—
421C2×C4⋊C4—111no—
422C2×C4⋊C4—111no—
423C2×C4⋊C4—222no—
424C2×C4⋊C4—222no—
425C2×C4⋊C4—221no—
426C2×C4⋊C4—221no—
427C2×C4⋊C4—221no—
428C2×C4⋊C4—221no—
429C2×C4⋊C4—441no—
430C2×C4⋊C4—441no—
431C2×C4⋊C4C22⋊D1111yescharacteristic
432C2×C4⋊C4C22×D1111yescharacteristic
433C2×C4⋊C4C22×D1111yescharacteristic
434C2×C4⋊C4C22×D1111yescharacteristic
435C2×C4⋊C4C22×D1111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—221no—
440C2×C22⋊C4—221no—
441C2×C22⋊C4C22⋊D1111yescharacteristic
442C2×C22⋊C4C22⋊D1111yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—221no—
446C2×C42C22×D1111yescharacteristic
447#107—114no—
448#107—222no—
449#107—222no—
450#107—222no—
451#107—222no—
452#107—441no—
453#106—222no—
454#106—222no—
455#106—222no—
456#106—441no—
457C4⋊C8—114no—
458C22⋊C8—114no—
459C22⋊C8—114no—
460#97—114no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—221no—
467#95—221no—
468#95—221no—
469C2×C11—24no—
470C2×C11—42no—
471C2×C11D4×C4⋊C411yescharacteristic
472C2×C11C2×#42811yescharacteristic
473C2×C11#291311yescharacteristic
474C2×C11#326411yescharacteristic
475C2×C11#327011yescharacteristic
476C2×C11#334311yescharacteristic
477C2×C11#334611yescharacteristic
478C24C2×C22⋊D1111yescharacteristic
479C24C2×C22⋊D1111yescharacteristic
480C2×D4—22no—
481C2×D4—22no—
482C2×D4Dic11⋊C414yes—
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—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4—221no—
499C22×C4—221no—
500C22×C4—221no—
501C22×C4—221no—
502C22×C4—442no—
503C22×C4—442no—
504C22×C4—442no—
505C22×C4—442no—
506C22×C4—881no—
507C22×C4—881no—
508C22×C4C2×Dic2212yes—
509C22×C4C2×Dic2212yes—
510C22×C4C2×C4×D1112yes—
511C22×C4C2×C4×D1112yes—
512C22×C4C2×C22⋊D1111yescharacteristic
513C22×C4C2×C22⋊D1111yescharacteristic
514C22×C4C2×C22⋊D1111yescharacteristic
515C22×C4C2×C22⋊D1111yescharacteristic
516C22×C4C23×D1111yescharacteristic
517M16—228no—
518C2×C8—112no—
519C2×C8—112no—
520C2×C8—112no—
521C2×C8—112no—
522C2×C8—112no—
523C2×C8—112no—
524C2×C8—228no—
525C2×C8—221no—
526C2×C8—221no—
527C2×C8—221no—
528C2×C8—221no—
529C2×C8—221no—
530C2×C8—221no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—42no—
539C4⋊C4—112no—
540C4⋊C4—221no—
541C4⋊C4—221no—
542C4⋊C4—221no—
543C4⋊C4—221no—
544C4⋊C4—221no—
545C4⋊C4—221no—
546C4⋊C4—221no—
547C4⋊C4—442no—
548C4⋊C4—442no—
549C4⋊C4—442no—
550C4⋊C4—881no—
551C4⋊C4Dic11⋊C414yes—
552C4⋊C4D4×D1112yes—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—81no—
556C22⋊C4—442no—
557C22⋊C4—442no—
558C22⋊C4Dic11⋊C414yes—
559C22⋊C4Dic11⋊C414yes—
560C42—42no—
561C42—81no—
562C42—442no—
563C42C2×Dic2212yes—
564C42C2×C4×D1112yes—
565C11#2266111yescharacteristic, complemented, Sylow
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23C2×Dic11⋊C412yes—
577C23C2×Dic11⋊C412yes—
578C23#6700212yes—
579C23#6700412yes—
580C23C22×C22⋊D1111yescharacteristic
581D4—28no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
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—222no—
612C2×C4—441no—
613C2×C4—441no—
614C2×C4—441no—
615C2×C4—441no—
616C2×C4—441no—
617C2×C4—441no—
618C2×C4—441no—
619C2×C4—441no—
620C2×C4—441no—
621C2×C4—441no—
622C2×C4—441no—
623C2×C4—884no—
624C2×C4—884no—
625C2×C4C2×Dic11⋊C412yes—
626C2×C4C2×Dic11⋊C412yes—
627C2×C4C2×Dic11⋊C412yes—
628C2×C4C2×Dic11⋊C412yes—
629C2×C4C22×Dic2211yescharacteristic
630C2×C4C22×C4×D1111yescharacteristic
631C2×C4C2×D4×D1111yescharacteristic
632C2×C4#6703711yescharacteristic
633C2×C4#41×D1111yescharacteristic
634C2×C4#6704311yescharacteristic
635C8—114no—
636C8—222no—
637C8—222no—
638C8—222no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22#1062260814yescomplemented
653C22C22×Dic11⋊C411yescharacteristic
654C22D4×C22⋊D1111yescharacteristic
655C22C2×#6700211yescharacteristic
656C22C2×#6700411yescharacteristic
657C22#1062335511yescharacteristic
658C22#1062336611yescharacteristic
659C22#1062336911yescharacteristic
660C4—22no—
661C4—22no—
662C4—22no—
663C4—22no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4—442no—
669C4—881no—
670C4—881no—
671C4—881no—
672C4D4×Dic2211yescharacteristic
673C4#1062307011yescharacteristic
674C4C4×D4×D1111yescharacteristic
675C4#1062307711yescharacteristic
676C2—24no—
677C2—42no—
678C2D4×Dic11⋊C411yescharacteristic
679C2C2×#1062260811yescharacteristic
680C2#1307721411yescharacteristic
681C2#1308009711yescharacteristic
682C2#1308018211yescharacteristic
683C2#1308105611yescharacteristic
684C2#1308110111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2352C2
socleC23×C11C22×D4
prime radicalC22×D4×C11D4
cosocleC22×C4×C11C24
hypercenter#2352D11
hypocenterC11#22661
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#10622608C2semidirect
3. C22×#66871C2semidirect
5. #13069382C2semidirect
6. #13069374C2semidirect
7. #13068815C2semidirect
8. #13068808C2semidirect
9. #13068804C2semidirect
10. #13068803C2semidirect
11. #13068785C2semidirect
12. #13068647C2semidirect
13. #13068639C2semidirect
14. #13068514C2semidirect
36. #10622624C4semidirect
106. C2×#4318C2×C4semidirect
109. C22×C11⋊C8C2×C4semidirect
122. C22⋊(C11⋊C8)C2×C4semidirect
123. C22⋊(C11⋊C8)C2×C4semidirect
133. #66871D4semidirect
134. C4⋊(C11⋊C8)C2×C4semidirect
135. #66867C2×C4semidirect
311. C11⋊C8C4×D4semidirect
371. C22×C11#428semidirect
565. C11#22661semidirect
652. C22#10622608semidirect

Maximal subgroups

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

subgroupindex
C2×#106226242
C2×#106226082
C22×#668712
D4×C4⋊Dic112
#130693822
#130693742
#130688152
#130688082
#130688042
#130688032
#130687852
#130686472
#130686392
#130685142
C11×#23522
#2266111