Finite Group Databasebeta

← #14789947

Subgroups — #14789947

Order 2816.

1068 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622679C211yesmaximal, characteristic, complemented
2C2×#10622697C211yesmaximal, characteristic, complemented
3#13071309C211yesmaximal, characteristic
4#13069951C211yesmaximal, characteristic, complemented
5#13069946C211yesmaximal, characteristic, complemented
6#13069759C211yesmaximal, characteristic, complemented
7#13069749C211yesmaximal, characteristic, complemented
8#13069574C211yesmaximal, characteristic, complemented
9#13069569C211yesmaximal, characteristic, complemented
10#13068938C211yesmaximal, characteristic
11#13068933C211yesmaximal, characteristic
12#13068815C211yesmaximal, characteristic, complemented
13#13068809C211yesmaximal, characteristic, complemented
14#13068600C211yesmaximal, characteristic, complemented
15C2×C11×#544C211yesmaximal, characteristic, complemented
16C11×#544—24no—
17C11×#544—24no—
18C2×C11×C4⋊Q8—21no—
19C2×C11×C4⋊Q8C2211yescharacteristic
20C2×C11×C4⋊Q8C2211yescharacteristic
21C2×C11×#125—21no—
22C2×C11×#125C2211yescharacteristic
23C2×C11×#125C2211yescharacteristic
24C2×C11×C22⋊Q8—21no—
25C2×C11×C22⋊Q8—21no—
26C2×C11×#117C2211yescharacteristic
27C2×C11×#117C2211yescharacteristic
28C22×C11×C4⋊C4C2211yescharacteristic
29C2×#66983C2211yescharacteristic
30C2×C4×D44C2211yescharacteristic
31#10622825C2211yescharacteristic
32C2×C22⋊(C11⋊C8)C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34#10622697—24no—
35#10622679—24no—
36#10622603—21no—
37#10622602—21no—
38C2×#66873C2211yescharacteristic
39C2×#66873C2211yescharacteristic
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46#10622570—21no—
47#10622569—21no—
48#10622552C2211yescharacteristic
49C4×C4⋊Dic11C2211yescharacteristic
50#10622541C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4⋊(C11⋊C8)C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11—21no—
64C22×Q8×C11—21no—
65C23×C4×C11—21no—
66C23×C4×C11C2311yescharacteristic
67C22×C22⋊D11—21no—
68C22×D44C2311yescharacteristic
69C22×C4×D11—21no—
70C11×C4⋊Q8—28no—
71C11×C4⋊Q8—22no—
72C11×C4⋊Q8—22no—
73C11×C4⋊Q8—22no—
74C11×C4⋊Q8D414yescomplemented
75C11×#125—28no—
76C11×#125—22no—
77C11×#125—22no—
78C11×#125—22no—
79C11×#125D414yescomplemented
80C11×C22⋊Q8—28no—
81C11×C22⋊Q8—28no—
82C11×#117—22no—
83C11×#117—22no—
84C11×#117—22no—
85C11×#117—22no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—22no—
94C2×C11×C4⋊C4—22no—
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C11×C4⋊C4D411yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4D411yescharacteristic
103C2×C11×C22⋊C4D411yescharacteristic
104C2×C42×C11—21no—
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2311yescharacteristic
107C2×C22⋊Dic11—21no—
108#66983—22no—
109#66983Q814yescomplemented
110C2×(C2×D11)⋊C4—21no—
111C2×(C2×D11)⋊C4—21no—
112C2×(C2×D11)⋊C4—21no—
113C2×(C2×D11)⋊C4—21no—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2311yescharacteristic
117C2×Dic11⋊C4—21no—
118C2×C4×Dic11—21no—
119C22×C11⋊C8C2311yescharacteristic
120C22×C11⋊C8C2311yescharacteristic
121C22×C11⋊C8C2311yescharacteristic
122C22×C11⋊C8C2311yescharacteristic
123C4×D44—22no—
124C4×D44—22no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C22⋊(C11⋊C8)—22no—
129C22⋊(C11⋊C8)—22no—
130#66873—22no—
131#66873—22no—
132#66873—22no—
133#66873—22no—
134#66872—22no—
135#66872—22no—
136#66872—22no—
137#66871—22no—
138C4⋊(C11⋊C8)—22no—
139C4⋊(C11⋊C8)—22no—
140#24309—111nomaximal, Sylow
141C24×C11C2×D411yescharacteristic
142C23×D11—21no—
143C2×Q8×C11—24no—
144C2×Q8×C11—24no—
145C2×Q8×C11—81no—
146C2×Q8×C11—81no—
147C2×Q8×C11—81no—
148C2×Q8×C11—81no—
149C22×C4×C11—21no—
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—24no—
158C22×C4×C11—81no—
159C22×C4×C11—81no—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×Q812yes—
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×D44C2×Q812yes—
180C2×C4×D11—42no—
181C2×C4×D11—81no—
182C2×C4×D11—81no—
183C11×C4⋊C4—24no—
184C11×C4⋊C4—24no—
185C11×C4⋊C4—24no—
186C11×C4⋊C4—24no—
187C11×C4⋊C4—24no—
188C11×C4⋊C4—24no—
189C11×C4⋊C4—24no—
190C11×C4⋊C4—22no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4C2×D412yes—
197C11×C4⋊C4C2×D412yes—
198C11×C4⋊C4C2×D412yes—
199C11×C4⋊C4C2×D412yes—
200C11×C22⋊C4—24no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—22no—
203C42×C11—24no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11C2×D412yes—
207C42×C11C2×D412yes—
208C22⋊Dic11—81no—
209(C2×D11)⋊C4—24no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—81no—
212(C2×D11)⋊C4—81no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11C2×Q812yes—
219Dic11⋊C4—81no—
220C4×Dic11—81no—
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—21no—
233C2×#544D1111yescharacteristic, complemented
234C2×#478—111no—
235C2×#476—111no—
236#2324—111no—
237#2059—111no—
238#2058—111no—
239#2025—111no—
240#2023—111no—
241#1989—111no—
242#1988—111no—
243#1875—111no—
244#1874—111no—
245#1854—111no—
246#1853—111no—
247#1798—111no—
248C23×C11—21no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11C22⋊Q812yes—
255C23×C11C22×D411yescharacteristic
256C22×D11—22no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263Q8×C11—84no—
264Q8×C11—84no—
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—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—21no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—84no—
294C2×C4×C11#12012yes—
295C2×C4×C11#12012yes—
296C2×C4×C11C22⋊Q812yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C22×D411yescharacteristic
299C2×C4×C11C22×Q811yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C112−1+411yescharacteristic
302C2×C4×C112−1+411yescharacteristic
303C22⋊D11—84no—
304C2×Dic11—22no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313D44—22no—
314D44—22no—
315D44—41no—
316D44—41no—
317C4×D11—84no—
318C11⋊C8—41no—
319C11⋊C8—41no—
320C11⋊C8—41no—
321C11⋊C8—41no—
322#544—24no—
323#544—24no—
324C2×C4⋊Q8—21no—
325C2×C4⋊Q8C2×D1111yescharacteristic
326C2×C4⋊Q8C2×D1111yescharacteristic
327C2×#125—21no—
328C2×#125C2×D1111yescharacteristic
329C2×#125C2×D1111yescharacteristic
330C2×C22⋊Q8—21no—
331C2×C22⋊Q8—21no—
332C2×#121—111no—
333C2×C4×D4—111no—
334C2×#117C2×D1111yescharacteristic
335C2×#117C2×D1111yescharacteristic
336C22×C4⋊C4C2×D1111yescharacteristic
337#478—224no—
338#476—224no—
339C2×#107—111no—
340C2×#106—111no—
341C2×#106—111no—
342C2×#106—111no—
343C2×C4⋊C8—111no—
344C2×C4⋊C8—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×C22⋊C8—111no—
350C2×C22⋊C8—111no—
351#390—111no—
352#390—221no—
353#389—111no—
354#388—221no—
355#386—221no—
356#385—221no—
357#380—111no—
358C4×C4⋊C4—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#336—111no—
368#336—111no—
369C22×C11—22no—
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11C2×#12011yescharacteristic
377C22×C11C2×C22⋊Q811yescharacteristic
378C22×C11#53611yescharacteristic
379C22×C11#57611yescharacteristic
380C22×C11#57711yescharacteristic
381C22×C11#57711yescharacteristic
382C22×C11#57711yescharacteristic
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—81no—
387C2×D11—81no—
388C2×D11—81no—
389C2×D11—81no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11—41no—
394C4×C11—42no—
395C4×C11—41no—
396C4×C11—42no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11#54811yescharacteristic
400C4×C11#54811yescharacteristic
401C4×C11D4×Q811yescharacteristic
402C4×C11D4×Q811yescharacteristic
403Dic11—42no—
404Dic11—81no—
405Dic11—81no—
406C22×Q8—21no—
407C22×Q8—21no—
408C22×D4—111no—
409C22×D4—221no—
410C23×C4—21no—
411C23×C4—221no—
412C23×C4C22×D1111yescharacteristic
413C22×C8—111no—
414C22×C8—111no—
415C22×C8—111no—
416C22×C8—111no—
417C4⋊Q8—28no—
418C4⋊Q8—22no—
419C4⋊Q8—22no—
420C4⋊Q8—22no—
421C4⋊Q8C22⋊D1114yescomplemented
422#125—28no—
423#125—22no—
424#125—22no—
425#125—22no—
426#125C22⋊D1114yescomplemented
427C22⋊Q8—28no—
428C22⋊Q8—28no—
429#121—114no—
430#121—222no—
431C4×D4—222no—
432C4×D4—222no—
433#117—22no—
434#117—22no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—22no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4C22⋊D1111yescharacteristic
451C2×C4⋊C4C22⋊D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C4⋊C4C22×D1111yescharacteristic
454C2×C4⋊C4C22×D1111yescharacteristic
455C2×C4⋊C4C22×D1111yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4C22⋊D1111yescharacteristic
463C2×C22⋊C4C22⋊D1111yescharacteristic
464C2×C42—21no—
465C2×C42—221no—
466C2×C42C22×D1111yescharacteristic
467C2×C42C22×D1111yescharacteristic
468#107—222no—
469#106—222no—
470#106—222no—
471#106—222no—
472C4⋊C8—222no—
473C4⋊C8—222no—
474#102—222no—
475#102—222no—
476#102—222no—
477#102—222no—
478C22⋊C8—222no—
479C22⋊C8—222no—
480#95—221no—
481#95—221no—
482#95—221no—
483C2×C11—42no—
484C2×C11#240911yescharacteristic
485C2×C11#301011yescharacteristic
486C2×C11#301211yescharacteristic
487C2×C11#308111yescharacteristic
488C2×C11#308411yescharacteristic
489C2×C11#324111yescharacteristic
490C2×C11#324411yescharacteristic
491D11—82no—
492C24—221no—
493C24C2×C22⋊D1111yescharacteristic
494C2×Q8—24no—
495C2×Q8—24no—
496C2×Q8—81no—
497C2×Q8—81no—
498C2×Q8—81no—
499C2×Q8—81no—
500C2×D4—112no—
501C2×D4—224no—
502C2×D4—221no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—221no—
506C2×D4—221no—
507C2×D4—881no—
508C2×D4—881no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—24no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—442no—
524C22×C4—881no—
525C22×C4—881no—
526C22×C4Q8×D1112yes—
527C22×C4#434312yes—
528C22×C4C2×C22⋊D1111yescharacteristic
529C22×C4C2×C22⋊D1111yescharacteristic
530C22×C4C2×C22⋊D1111yescharacteristic
531C22×C4C2×C22⋊D1111yescharacteristic
532C22×C4C2×C22⋊D1111yescharacteristic
533C22×C4C23×D1111yescharacteristic
534C2×C8—221no—
535C2×C8—221no—
536C2×C8—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—112no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—881no—
566C4⋊C4C2×C22⋊D1112yes—
567C4⋊C4C2×C22⋊D1112yes—
568C4⋊C4C2×C22⋊D1112yes—
569C4⋊C4C2×C22⋊D1112yes—
570C22⋊C4—24no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—224no—
574C22⋊C4—442no—
575C22⋊C4—881no—
576C22⋊C4—881no—
577C22⋊C4—881no—
578C42—24no—
579C42—21no—
580C42—21no—
581C42—881no—
582C42C2×C22⋊D1112yes—
583C42C2×C22⋊D1112yes—
584C11#2430911yescharacteristic, complemented, Sylow
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—222no—
592C23—441no—
593C23—441no—
594C23—441no—
595C23—441no—
596C23—441no—
597C23—441no—
598C23#6699912yes—
599C23C22×C22⋊D1111yescharacteristic
600Q8—84no—
601Q8—84no—
602D4—222no—
603D4—222no—
604D4—441no—
605D4—441no—
606D4—884no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
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—84no—
636C2×C4—222no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—884no—
646C2×C4#6699912yes—
647C2×C4#6700612yes—
648C2×C4#6700612yes—
649C2×C4C2×Q8×D1111yescharacteristic
650C2×C4C2×#434311yescharacteristic
651C2×C4#6704011yescharacteristic
652C2×C4#6704011yescharacteristic
653C2×C4C22×C22⋊D1111yescharacteristic
654C2×C4C22×C22⋊D1111yescharacteristic
655C8—441no—
656C8—441no—
657C8—441no—
658C8—441no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—442no—
667C22—442no—
668C22—442no—
669C22—881no—
670C22—881no—
671C22—881no—
672C22—881no—
673C22C2×#6699911yescharacteristic
674C22#1062334711yescharacteristic
675C22#1062336611yescharacteristic
676C22#1062336711yescharacteristic
677C22#1062336811yescharacteristic
678C22#1062336811yescharacteristic
679C22C2×#6700611yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—41no—
684C4—42no—
685C4—41no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—442no—
690C4—881no—
691C4—881no—
692C4Q8×C22⋊D1111yescharacteristic
693C4Q8×C22⋊D1111yescharacteristic
694C4#1062334811yescharacteristic
695C4#1062334811yescharacteristic
696C2—42no—
697C2—882no—
698C2#1307197511yescharacteristic
699C2#1307790211yescharacteristic
700C2#1307792011yescharacteristic
701C2#1307844111yescharacteristic
702C2#1307847411yescharacteristic
703C2#1307986911yescharacteristic
704C2#1307991411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#544C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
hypercenterC2×#544D11
hypocenterC11#24309
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×#10622679C2semidirect
2. C2×#10622697C2semidirect
4. #13069951C2semidirect
5. #13069946C2semidirect
6. #13069759C2semidirect
7. #13069749C2semidirect
8. #13069574C2semidirect
9. #13069569C2semidirect
12. #13068815C2semidirect
13. #13068809C2semidirect
14. #13068600C2semidirect
15. C2×C11×#544C2semidirect
74. C11×C4⋊Q8D4semidirect
79. C11×#125D4semidirect
109. #66983Q8semidirect
233. C2×#544D11semidirect
421. C4⋊Q8C22⋊D11semidirect
426. #125C22⋊D11semidirect
584. C11#24309semidirect

Maximal subgroups

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

subgroupindex
C2×#106226792
C2×#106226972
#130713092
#130699512
#130699462
#130697592
#130697492
#130695742
#130695692
#130689382
#130689332
#130688152
#130688092
#130686002
C2×C11×#5442
#2430911