Finite Group Databasebeta

← #14760302

Subgroups — #14760302

Order 2816.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622651C211yesmaximal, characteristic
2C2×C4×#4323C211yesmaximal, characteristic, complemented
3C2×#10622610C211yesmaximal, characteristic, complemented
4#13071309C211yesmaximal, characteristic, complemented
5#13069481C211yesmaximal, characteristic, complemented
6#13069346C211yesmaximal, characteristic, complemented
7#13069316C211yesmaximal, characteristic, complemented
8#13069312C211yesmaximal, characteristic, complemented
9#13069055C211yesmaximal, characteristic, complemented
10#13069052C211yesmaximal, characteristic, complemented
11#13068643C211yesmaximal, characteristic, complemented
12C4×#66871C211yesmaximal, characteristic, complemented
13#13068444C211yesmaximal, characteristic, complemented
14#13068441C211yesmaximal, characteristic, complemented
15C11×#2324C211yesmaximal, characteristic, complemented
16C2×C11×#121C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C11×#117C2211yescharacteristic
19C22×#4323C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C11×#390—21no—
25C11×#390C2211yescharacteristic
26C11×#389C2211yescharacteristic
27C11×#388—21no—
28C11×#386—21no—
29C11×#385—21no—
30C11×#380C2211yescharacteristic
31C4×C11×C4⋊C4C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622651C418yescomplemented
37C4×#4323—24no—
38#10622610—24no—
39#10622603—21no—
40#10622602—21no—
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47#10622570—21no—
48#10622569—21no—
49#10622552C2211yescharacteristic
50C4×C4⋊Dic11C2211yescharacteristic
51#10622541C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53C2×#66867C2211yescharacteristic
54C2×C4×C11⋊C8C2211yescharacteristic
55C2×C4×C11⋊C8C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C22×C22⋊D11—21no—
67C22×D44C2311yescharacteristic
68C22×C4×D11—21no—
69C11×#121—22no—
70C11×#121C2×C414yescomplemented
71C4×D4×C11—22no—
72C4×D4×C11—22no—
73C11×#117—22no—
74C11×#117—22no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C4⋊C4D411yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C42×C11—21no—
89C2×C42×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92C2×#4323—22no—
93C2×#4323—22no—
94C2×#4323C2×C414yes—
95#66983—22no—
96#66983C2×C414yescomplemented
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×C4×Dic11—21no—
106C2×#4318—22no—
107C2×#4318—22no—
108C2×#4318—22no—
109C22×C11⋊C8—22no—
110C22×C11⋊C8—22no—
111C22×C11⋊C8C2×C414yescomplemented
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C22×C11⋊C8C2311yescharacteristic
116C4×D44—22no—
117C4×D44—22no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121#66896—22no—
122#66896—22no—
123#66896C2×C414yescomplemented
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127#66873—22no—
128#66873—22no—
129#66873C2×C414yescomplemented
130#66871—22no—
131#66871—22no—
132#66871C2×C414yescomplemented
133#66867—22no—
134#66867—22no—
135C4×C11⋊C8—22no—
136C4×C11⋊C8D414yescomplemented
137#21524—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11C2×D411yescharacteristic
140C23×D11—21no—
141C2×D4×C11—24no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—81no—
148C2×D4×C11—81no—
149C2×D4×C11C22×C412yes—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—42no—
158C22×C4×C11—81no—
159C22×C4×C11—81no—
160C22×C4×C11C22×C412yes—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11#4112yes—
167C22×C4×C11C2411yescharacteristic
168C2×C22⋊D11—24no—
169C2×C22⋊D11—81no—
170C2×C22⋊D11—81no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44C22×C412yes—
180C2×C4×D11—42no—
181C2×C4×D11—81no—
182C2×C4×D11—81no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—81no—
191C11×C4⋊C4C22×C412yes—
192C11×C22⋊C4—24no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—22no—
195C11×C22⋊C4—42no—
196C11×C22⋊C4—81no—
197C11×C22⋊C4—81no—
198C11×C22⋊C4—81no—
199C42×C11—21no—
200C42×C11—21no—
201C42×C11—81no—
202C42×C11C2×D412yes—
203C42×C11#4112yes—
204C22⋊Dic11—81no—
205#4323—28no—
206(C2×D11)⋊C4—24no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—81no—
209(C2×D11)⋊C4—81no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11C22×C412yes—
216Dic11⋊C4—81no—
217C4×Dic11—81no—
218#4318—28no—
219C2×C11⋊C8—28no—
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⋊C8C22×C412yes—
227C2×C11⋊C8C22×C412yes—
228C2×C11⋊C8C2×D412yes—
229C2×C11⋊C8C2×D412yes—
230C2×C11⋊C8#4112yes—
231C2×C11⋊C8#4112yes—
232C2×#466—111no—
233C2×C4×D8—111no—
234C2×#405—111no—
235#2324—111no—
236#2324D1111yescharacteristic, complemented
237#1970—111no—
238#1942—111no—
239#1936—111no—
240#1936—111no—
241#1895—111no—
242#1895—111no—
243#1808—111no—
244C4×#107—111no—
245#1762—111no—
246#1762—111no—
247C23×C11—21no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—22no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11C4×D412yes—
261C23×C11C22×D411yescharacteristic
262C22×D11—22no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269D4×C11—22no—
270D4×C11—22no—
271D4×C11—41no—
272D4×C11—41no—
273D4×C11—84no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—84no—
300C2×C4×C11C4×D412yes—
301C2×C4×C11#12112yes—
302C2×C4×C11#12112yes—
303C2×C4×C11C23×C411yescharacteristic
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C22⋊D11—84no—
310C2×Dic11—22no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319D44—22no—
320D44—22no—
321D44—41no—
322D44—41no—
323C4×D11—84no—
324C11⋊C8—22no—
325C11⋊C8—22no—
326C11⋊C8—22no—
327C11⋊C8C4×D414yes—
328C22×D8—111no—
329C22×M16—111no—
330C23×C8—111no—
331C2×#121—111no—
332C2×#121C2×D1111yescharacteristic
333C2×C4×D4—111no—
334C2×C4×D4C2×D1111yescharacteristic
335C2×#117C2×D1111yescharacteristic
336#466—118no—
337C4×D8—224no—
338C2×#107—111no—
339C2×#107—111no—
340C2×#107—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#102—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347#405—224no—
348C2×#97—111no—
349C2×#97—111no—
350C2×C4×C8—111no—
351C2×C4×C8—111no—
352#390—21no—
353#390—111no—
354#390—221no—
355#390C2×D1111yescharacteristic
356#389—111no—
357#389C2×D1111yescharacteristic
358#388—21no—
359#388—221no—
360#386—21no—
361#386—221no—
362#385—21no—
363#385—221no—
364#380—111no—
365#380C2×D1111yescharacteristic
366C4×C4⋊C4—111no—
367C4×C4⋊C4C2×D1111yescharacteristic
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11C2×C4×D411yescharacteristic
389C22×C11C2×#12111yescharacteristic
390C22×C11#53211yescharacteristic
391C22×C11#57611yescharacteristic
392C22×C11#57611yescharacteristic
393C22×C11#57611yescharacteristic
394C22×C11#57811yescharacteristic
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—81no—
399C2×D11—81no—
400C2×D11—81no—
401C2×D11—81no—
402C4×C11—22no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—42no—
406C4×C11—41no—
407C4×C11—41no—
408C4×C11—81no—
409C4×C11—81no—
410C4×C11C2×C4×D411yescharacteristic
411C4×C11C4×#4111yescharacteristic
412C4×C11#52511yescharacteristic
413C4×C11#52911yescharacteristic
414Dic11—42no—
415Dic11—81no—
416Dic11—81no—
417C22×D4—21no—
418C22×D4—111no—
419C22×D4—221no—
420C22×D4C22×D1111yescharacteristic
421C23×C4—21no—
422C23×C4—221no—
423C23×C4C22×D1111yescharacteristic
424C2×D8—114no—
425C2×D8—222no—
426C2×D8—222no—
427C2×M16—222no—
428C2×M16—222no—
429C2×M16—222no—
430C22×C8—111no—
431C22×C8—114no—
432C22×C8—111no—
433C22×C8—111no—
434C22×C8—111no—
435C22×C8—222no—
436C22×C8—222no—
437#121—22no—
438#121—114no—
439#121—222no—
440#121C4×D1114yescomplemented
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—222no—
444C4×D4—222no—
445#117—22no—
446#117—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4C22⋊D1111yescharacteristic
453C2×C4⋊C4C22⋊D1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C4⋊C4C22×D1111yescharacteristic
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4C22⋊D1111yescharacteristic
468C2×C22⋊C4C22⋊D1111yescharacteristic
469C2×C42—21no—
470C2×C42—221no—
471C2×C42C22×D1111yescharacteristic
472C2×C42C22×D1111yescharacteristic
473#107—114no—
474#107—222no—
475#107—222no—
476#102—114no—
477#102—114no—
478#102—222no—
479#102—222no—
480#102—222no—
481#102—222no—
482#97—222no—
483#97—222no—
484C4×C8—114no—
485C4×C8—222no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—221no—
490#95—221no—
491#95—221no—
492C2×C11—42no—
493C2×C11—82no—
494C2×C11C4×#12111yescharacteristic
495C2×C11#294811yescharacteristic
496C2×C11#295111yescharacteristic
497C2×C11#305811yescharacteristic
498C2×C11#306111yescharacteristic
499C2×C11#317511yescharacteristic
500C2×C11#317611yescharacteristic
501D11—82no—
502C24—21no—
503C24—221no—
504C24C2×C22⋊D1111yescharacteristic
505C2×D4—24no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—81no—
512C2×D4—81no—
513C2×D4—112no—
514C2×D4—224no—
515C2×D4—221no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—881no—
521C2×D4—881no—
522C2×D4C2×C4×D1112yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—442no—
537C22×C4—881no—
538C22×C4—881no—
539C22×C4C2×C4×D1112yes—
540C22×C4#433912yes—
541C22×C4C2×C22⋊D1111yescharacteristic
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547D8—228no—
548M16—228no—
549C2×C8—112no—
550C2×C8—112no—
551C2×C8—112no—
552C2×C8—112no—
553C2×C8—112no—
554C2×C8—112no—
555C2×C8—228no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—81no—
570C4⋊C4—112no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—881no—
577C4⋊C4C2×C4×D1112yes—
578C22⋊C4—24no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—42no—
582C22⋊C4—81no—
583C22⋊C4—81no—
584C22⋊C4—81no—
585C22⋊C4—224no—
586C22⋊C4—442no—
587C22⋊C4—881no—
588C22⋊C4—881no—
589C22⋊C4—881no—
590C42—21no—
591C42—21no—
592C42—81no—
593C42—881no—
594C42D4×D1112yes—
595C42#434112yes—
596C11#2152411yescharacteristic, complemented, Sylow
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—222no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23—441no—
616C23—441no—
617C23C4×C22⋊D1112yes—
618C23C22×C22⋊D1111yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—84no—
624D4—222no—
625D4—222no—
626D4—441no—
627D4—441no—
628D4—884no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—84no—
655C2×C4—222no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—884no—
665C2×C4C4×C22⋊D1112yes—
666C2×C4#6699212yes—
667C2×C4#6699212yes—
668C2×C4C22×C4×D1111yescharacteristic
669C2×C4C2×#433911yescharacteristic
670C2×C4C2×D4×D1111yescharacteristic
671C2×C4C2×#434111yescharacteristic
672C2×C4#41×D1111yescharacteristic
673C2×C4#41×D1111yescharacteristic
674C8—114no—
675C8—222no—
676C8—222no—
677C8—222no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—442no—
693C22—442no—
694C22—442no—
695C22—881no—
696C22—881no—
697C22—881no—
698C22—881no—
699C22C2×C4×C22⋊D1111yescharacteristic
700C22C2×#6699211yescharacteristic
701C22#1062336311yescharacteristic
702C22#1062336611yescharacteristic
703C22#1062336611yescharacteristic
704C22#1062336611yescharacteristic
705C22#1062336911yescharacteristic
706C4—22no—
707C4—22no—
708C4—22no—
709C4—41no—
710C4—42no—
711C4—41no—
712C4—81no—
713C4—81no—
714C4—442no—
715C4—881no—
716C4—881no—
717C4C4×#434111yescharacteristic
718C4#1062306911yescharacteristic
719C4C4×D4×D1111yescharacteristic
720C4#1062307811yescharacteristic
721C2—42no—
722C2—82no—
723C2—882no—
724C2C4×#6699211yescharacteristic
725C2#1307746611yescharacteristic
726C2#1307748911yescharacteristic
727C2#1307826111yescharacteristic
728C2#1307828311yescharacteristic
729C2#1307924911yescharacteristic
730C2#1307926011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2324C2
socleC23×C11C22×D4
prime radicalC2×#10622651C2
cosocleC22×C4×C11C24
hypercenter#2324D11
hypocenterC11#21524
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4323C2semidirect
3. C2×#10622610C2semidirect
4. #13071309C2semidirect
5. #13069481C2semidirect
6. #13069346C2semidirect
7. #13069316C2semidirect
8. #13069312C2semidirect
9. #13069055C2semidirect
10. #13069052C2semidirect
11. #13068643C2semidirect
12. C4×#66871C2semidirect
13. #13068444C2semidirect
14. #13068441C2semidirect
15. C11×#2324C2semidirect
36. #10622651C4semidirect
70. C11×#121C2×C4semidirect
96. #66983C2×C4semidirect
111. C22×C11⋊C8C2×C4semidirect
123. #66896C2×C4semidirect
129. #66873C2×C4semidirect
132. #66871C2×C4semidirect
136. C4×C11⋊C8D4semidirect
236. #2324D11semidirect
440. #121C4×D11semidirect
596. C11#21524semidirect

Maximal subgroups

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

subgroupindex
C2×#106226512
C2×C4×#43232
C2×#106226102
#130713092
#130694812
#130693462
#130693162
#130693122
#130690552
#130690522
#130686432
C4×#668712
#130684442
#130684412
C11×#23242
#2152411