Finite Group Databasebeta

← #14763741

Subgroups — #14763741

Order 2816.

1078 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623065C211yesmaximal, characteristic
2C2×#10622612C211yesmaximal, characteristic, complemented
3#13069568C211yesmaximal, characteristic, complemented
4#13069564C211yesmaximal, characteristic, complemented
5#13069548C211yesmaximal, characteristic, complemented
6#13069548C211yesmaximal, characteristic, complemented
7#13069052C211yesmaximal, characteristic
8#13069047C211yesmaximal, characteristic, complemented
9#13069042C211yesmaximal, characteristic
10#13069037C211yesmaximal, characteristic, complemented
11#13068628C211yesmaximal, characteristic, complemented
12#13068623C211yesmaximal, characteristic, complemented
13#13068618C211yesmaximal, characteristic, complemented
14#13068613C211yesmaximal, characteristic, complemented
15C11×#2314C211yesmaximal, characteristic, complemented
16C2×C11×#117C2211yescharacteristic
17C2×#66983C2211yescharacteristic
18C2×#66977C2211yescharacteristic
19C22×#4318C2211yescharacteristic
20C23×C11⋊C8C2211yescharacteristic
21#10623065—24no—
22#10623065C418yescomplemented
23C2×#66951—21no—
24C2×#66949—21no—
25C2×#66938—21no—
26C2×#66936—21no—
27C2×#66928C2211yescharacteristic
28C2×C4×D44C2211yescharacteristic
29C2×#66922C2211yescharacteristic
30C2×C4×Dic22C2211yescharacteristic
31C11×#388—21no—
32C11×#388—21no—
33C11×#387—21no—
34C11×#387—21no—
35C11×#384C2211yescharacteristic
36C11×#382C2211yescharacteristic
37C11×#380C2211yescharacteristic
38C11×#380C2211yescharacteristic
39C4×C11×C4⋊C4C2211yescharacteristic
40C4×C11×C4⋊C4C2211yescharacteristic
41#10622612—24no—
42C2×#66874C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45C2×#66874C2211yescharacteristic
46C2×#66873C2211yescharacteristic
47C2×#66873C2211yescharacteristic
48C2×#66873C2211yescharacteristic
49C2×#66873C2211yescharacteristic
50C2×C4⋊(C11⋊C8)C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4⋊(C11⋊C8)C2211yescharacteristic
53C2×C4⋊(C11⋊C8)C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C22×D44C2311yescharacteristic
65C22×C4×D11—21no—
66C22×Dic22—21no—
67C22×Dic22C2311yescharacteristic
68C11×#117C2×C414yes—
69C11×#117D414yes—
70C2×C11×C4⋊C4—21no—
71C2×C11×C4⋊C4—21no—
72C2×C11×C4⋊C4D411yescharacteristic
73C2×C11×C4⋊C4D411yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C22⋊C4—21no—
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4D411yescharacteristic
81C2×C11×C22⋊C4D411yescharacteristic
82C2×C42×C11—21no—
83C2×C42×C11—21no—
84C2×C42×C11C2311yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×C22⋊Dic11—21no—
87#66983—22no—
88#66983C2×C414yes—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96#66977—22no—
97#66977C2×C414yes—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×C4×Dic11—21no—
101C2×#4318—22no—
102C2×#4318—41no—
103C2×#4318—41no—
104C22×C11⋊C8—22no—
105C22×C11⋊C8—41no—
106C22×C11⋊C8—41no—
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111#66951—28no—
112#66949—28no—
113#66938—28no—
114#66936—28no—
115#66928—22no—
116#66928C2×C414yes—
117C4×D44—22no—
118C4×D44C2×C414yes—
119#66922—22no—
120#66922C2×C414yes—
121C4×Dic22—22no—
122C4×Dic22C2×C414yes—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129#66874—41no—
130#66874—41no—
131#66874—41no—
132#66874—41no—
133#66873—41no—
134#66873—41no—
135#66873—41no—
136#66873—41no—
137C4⋊(C11⋊C8)—22no—
138C4⋊(C11⋊C8)—22no—
139C4⋊(C11⋊C8)—22no—
140C4⋊(C11⋊C8)—22no—
141#21896—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C23×D11—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×C11C22×C412yes—
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D411yescharacteristic
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D412yes—
159C22×C4×C11C2411yescharacteristic
160C2×C22⋊D11—24no—
161C2×C22⋊D11—81no—
162C2×C22⋊D11—81no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44C22×C412yes—
172C2×C4×D11—24no—
173C2×C4×D11—81no—
174C2×C4×D11—81no—
175C2×Dic22—24no—
176C2×Dic22—21no—
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—81no—
182C2×Dic22—81no—
183C2×Dic22C22×C412yes—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—81no—
193C11×C4⋊C4—81no—
194C11×C4⋊C4C22⋊C414yes—
195C11×C4⋊C4C22⋊C414yes—
196C11×C22⋊C4—81no—
197C11×C22⋊C4—81no—
198C11×C22⋊C4C22⋊C414yes—
199C11×C22⋊C4C22⋊C414yes—
200C42×C11—81no—
201C42×C11—81no—
202C42×C11C22×C412yes—
203C42×C11C22×C412yes—
204C42×C11C2×D412yes—
205C42×C11C2×D412yes—
206C22⋊Dic11—24no—
207(C2×D11)⋊C4—24no—
208(C2×D11)⋊C4—24no—
209(C2×D11)⋊C4—24no—
210(C2×D11)⋊C4—24no—
211C4⋊Dic11—24no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11C22×C412yes—
215C4⋊Dic11C22×C412yes—
216Dic11⋊C4—24no—
217Dic11⋊C4—24no—
218C4×Dic11—24no—
219#4318—44no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—44no—
233C2×#542—111no—
234C2×#424—111no—
235#2314D1111yescharacteristic, complemented
236#1988—111no—
237#1987—111no—
238#1983—111no—
239#1983—111no—
240#1895—111no—
241#1894—111no—
242#1893—111no—
243#1892—111no—
244#1805—111no—
245#1804—111no—
246#1803—111no—
247#1802—111no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11C2×C22⋊C412yes—
255C23×C11C22×D411yescharacteristic
256C22×D11—22no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
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—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11C2×C22⋊C412yes—
290C2×C4×C11C2×C22⋊C412yes—
291C2×C4×C11C2×C22⋊C412yes—
292C2×C4×C11C2×C22⋊C412yes—
293C2×C4×C11C2×C22⋊C412yes—
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11H(5,𝔽2)11yescharacteristic
297C2×C4×C11H(5,𝔽2)11yescharacteristic
298C2×C4×C112−1+411yescharacteristic
299C2×C4×C112−1+411yescharacteristic
300C22⋊D11—84no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310D44—22no—
311D44—22no—
312D44—41no—
313D44—41no—
314C4×D11—84no—
315Dic22—22no—
316Dic22—22no—
317Dic22—41no—
318Dic22—41no—
319Dic22—84no—
320C11⋊C8—41no—
321C11⋊C8—41no—
322C11⋊C8—41no—
323C11⋊C8—41no—
324C22×M16—111no—
325C23×C8—111no—
326#542—118no—
327#542—224no—
328C2×C4⋊Q8—111no—
329C2×#126—221no—
330C2×#124—111no—
331C2×#124—221no—
332C2×#123—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8—221no—
335C2×#121—111no—
336C2×C4×Q8—111no—
337C2×C4×D4—111no—
338C2×#117C2×D1111yescharacteristic
339#424—224no—
340C2×C4⋊C8—111no—
341C2×C4⋊C8—111no—
342C2×C4⋊C8—111no—
343C2×C4⋊C8—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352#388—21no—
353#388—21no—
354#387—21no—
355#387—21no—
356#384C2×D1111yescharacteristic
357#382C2×D1111yescharacteristic
358#380C2×D1111yescharacteristic
359#380C2×D1111yescharacteristic
360C4×C4⋊C4C2×D1111yescharacteristic
361C4×C4⋊C4C2×D1111yescharacteristic
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11C22×C22⋊C411yescharacteristic
378C22×C11#53711yescharacteristic
379C22×C11#53711yescharacteristic
380C22×C11#57611yescharacteristic
381C22×C11#57711yescharacteristic
382C22×C11#57711yescharacteristic
383C22×C11#57811yescharacteristic
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C2×D11—81no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—22no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—81no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11#52011yescharacteristic
401C4×C11#52011yescharacteristic
402C4×C11#53511yescharacteristic
403C4×C11#53611yescharacteristic
404Dic11—42no—
405Dic11—42no—
406Dic11—42no—
407C22×Q8—111no—
408C22×Q8—221no—
409C22×D4—111no—
410C22×D4—221no—
411C23×C4—221no—
412C23×C4C22×D1111yescharacteristic
413C2×M16—222no—
414C2×M16—441no—
415C2×M16—441no—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8—111no—
420C22×C8—222no—
421C22×C8—441no—
422C22×C8—441no—
423C4⋊Q8—114no—
424C4⋊Q8—222no—
425#126—228no—
426#124—114no—
427#124—228no—
428#124—222no—
429#123—228no—
430C22⋊Q8—114no—
431C22⋊Q8—222no—
432C22⋊Q8—228no—
433#121—114no—
434#121—222no—
435C4×Q8—114no—
436C4×Q8—222no—
437C4×D4—114no—
438C4×D4—222no—
439#117C4×D1114yes—
440#117D4414yes—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—221no—
448C2×C4⋊C4C22⋊D1111yescharacteristic
449C2×C4⋊C4C22⋊D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4C22⋊D1111yescharacteristic
462C2×C22⋊C4C22⋊D1111yescharacteristic
463C2×C42—21no—
464C2×C42—21no—
465C2×C42—221no—
466C2×C42C22×D1111yescharacteristic
467C2×C42C22×D1111yescharacteristic
468C4⋊C8—222no—
469C4⋊C8—222no—
470C4⋊C8—222no—
471C4⋊C8—222no—
472#103—441no—
473#103—441no—
474#103—441no—
475#103—441no—
476#102—441no—
477#102—441no—
478#102—441no—
479#102—441no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—21no—
486C2×C11—42no—
487C2×C11#231111yescharacteristic
488C2×C11#289711yescharacteristic
489C2×C11#289811yescharacteristic
490C2×C11#325711yescharacteristic
491C2×C11#325811yescharacteristic
492C2×C11#326211yescharacteristic
493C2×C11#326311yescharacteristic
494D11—82no—
495C24—221no—
496C24C2×C22⋊D1111yescharacteristic
497C2×Q8—112no—
498C2×Q8—224no—
499C2×Q8—221no—
500C2×Q8—221no—
501C2×Q8—221no—
502C2×Q8—221no—
503C2×Q8—221no—
504C2×Q8—881no—
505C2×Q8—881no—
506C2×D4—112no—
507C2×D4—224no—
508C2×D4—221no—
509C2×D4—221no—
510C2×D4—221no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—881no—
514C2×D4—881no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—224no—
527C22×C4—881no—
528C22×C4—881no—
529C22×C4C2×C4×D1112yes—
530C22×C4C2×D4412yes—
531C22×C4C2×C22⋊D1111yescharacteristic
532C22×C4C2×C22⋊D1111yescharacteristic
533C22×C4C2×C22⋊D1111yescharacteristic
534C22×C4C2×C22⋊D1111yescharacteristic
535C22×C4C2×C22⋊D1111yescharacteristic
536C22×C4C23×D1111yescharacteristic
537M16—444no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—444no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—112no—
562C4⋊C4—112no—
563C4⋊C4—224no—
564C4⋊C4—224no—
565C4⋊C4—224no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4(C2×D11)⋊C414yes—
569C4⋊C4(C2×D11)⋊C414yes—
570C22⋊C4—81no—
571C22⋊C4—81no—
572C22⋊C4—224no—
573C22⋊C4—224no—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4(C2×D11)⋊C414yes—
578C22⋊C4(C2×D11)⋊C414yes—
579C42—81no—
580C42—81no—
581C42—224no—
582C42C2×C4×D1112yes—
583C42C2×C4×D1112yes—
584C42C2×D4412yes—
585C42C2×D4412yes—
586C11#2189611yescharacteristic, complemented, Sylow
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—222no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23—441no—
599C23—441no—
600C23C2×(C2×D11)⋊C412yes—
601C23C22×C22⋊D1111yescharacteristic
602Q8—222no—
603Q8—222no—
604Q8—441no—
605Q8—441no—
606Q8—884no—
607D4—222no—
608D4—222no—
609D4—441no—
610D4—441no—
611D4—884no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—884no—
648C2×C4C2×(C2×D11)⋊C412yes—
649C2×C4C2×(C2×D11)⋊C412yes—
650C2×C4C2×(C2×D11)⋊C412yes—
651C2×C4C2×(C2×D11)⋊C412yes—
652C2×C4C2×(C2×D11)⋊C412yes—
653C2×C4C22×C4×D1111yescharacteristic
654C2×C4C22×D4411yescharacteristic
655C2×C4#6704211yescharacteristic
656C2×C4#6704211yescharacteristic
657C2×C4#6704311yescharacteristic
658C2×C4#6704311yescharacteristic
659C8—441no—
660C8—441no—
661C8—441no—
662C8—441no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—442no—
671C22—442no—
672C22—442no—
673C22—881no—
674C22—881no—
675C22—881no—
676C22—881no—
677C22C22×(C2×D11)⋊C411yescharacteristic
678C22#1062336411yescharacteristic
679C22#1062336411yescharacteristic
680C22#1062336611yescharacteristic
681C22#1062336711yescharacteristic
682C22#1062336811yescharacteristic
683C22#1062336911yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—442no—
694C4—442no—
695C4—442no—
696C4#1062305411yescharacteristic
697C4#1062305411yescharacteristic
698C4#1062305611yescharacteristic
699C4#1062305711yescharacteristic
700C2—42no—
701C2—882no—
702C2#1307120411yescharacteristic
703C2#1307713911yescharacteristic
704C2#1307714611yescharacteristic
705C2#1308002111yescharacteristic
706C2#1308003611yescharacteristic
707C2#1308007211yescharacteristic
708C2#1308008111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2314C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
cosocleC22×C4×C11C24
hypercenter#2314D11
hypocenterC11#21896
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C2×#10622612C2semidirect
3. #13069568C2semidirect
4. #13069564C2semidirect
5. #13069548C2semidirect
6. #13069548C2semidirect
8. #13069047C2semidirect
10. #13069037C2semidirect
11. #13068628C2semidirect
12. #13068623C2semidirect
13. #13068618C2semidirect
14. #13068613C2semidirect
15. C11×#2314C2semidirect
22. #10623065C4semidirect
235. #2314D11semidirect
586. C11#21896semidirect

Maximal subgroups

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

subgroupindex
C2×#106230652
C2×#106226122
#130695682
#130695642
#130695482
#130690522
#130690472
#130690422
#130690372
#130686282
#130686232
#130686182
#130686132
C11×#23142
#2189611