Finite Group Databasebeta

← C11×#18974 #14596167

Subgroups — C11×#18974 #14596167

Order 2816.

930 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3546C211yesmaximal, characteristic
2C11×#3254C211yesmaximal, characteristic, complemented
3C11×#3248C211yesmaximal, characteristic, complemented
4C11×#3228C211yesmaximal, characteristic, complemented
5C11×#1654C211yesmaximal, characteristic, complemented
6C11×#1652C211yesmaximal, characteristic, complemented
7C11×#1650C211yesmaximal, characteristic, complemented
8C11×#1647C211yesmaximal, characteristic, complemented
9C11×#1642C211yesmaximal, characteristic, complemented
10C11×#1641C211yesmaximal, characteristic, complemented
11C11×#1639C211yesmaximal, characteristic, complemented
12C11×#1639C211yesmaximal, characteristic, complemented
13C11×#1547C211yesmaximal, characteristic, complemented
14C11×#1495C211yesmaximal, characteristic, complemented
15C11×#1480C211yesmaximal, characteristic, complemented
16C11×#560—22no—
17C11×#556C2211yescharacteristic
18C11×#553—21no—
19C11×#550—21no—
20C11×#550C2211yescharacteristic
21C11×#547C2211yescharacteristic
22C11×#546—21no—
23C11×#546—21no—
24D42×C11C2211yescharacteristic
25C11×#542—21no—
26C11×#538—22no—
27C11×#537—21no—
28C11×#535—21no—
29C11×#535—21no—
30C11×#533C2211yescharacteristic, complemented
31C11×#532C2211yescharacteristic
32C11×#532C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C11×#500C2211yescharacteristic, complemented
35C11×#498C2211yescharacteristic, complemented
36C11×#486C2211yescharacteristic
37C11×#486C2211yescharacteristic
38C11×#482—22no—
39C11×#479—21no—
40C11×#478—22no—
41C11×#477—21no—
42C11×#475C2211yescharacteristic, complemented
43C11×#474C2211yescharacteristic
44C11×#474C2211yescharacteristic
45C11×#474C2211yescharacteristic, complemented
46C11×#468—21no—
47C11×#468—21no—
48C11×#467—21no—
49C11×#465—21no—
50C11×#464—21no—
51C11×#462C2211yescharacteristic, complemented
52C11×#461C2211yescharacteristic
53C11×#461C2211yescharacteristic
54C11×#461C2211yescharacteristic, complemented
55C11×#460—21no—
56C11×#431C2211yescharacteristic, complemented
57C11×#423C2211yescharacteristic, complemented
58C2×C11×C4⋊C8C2211yescharacteristic, complemented
59C11×#332C2211yescharacteristic, complemented
60C11×#332C2211yescharacteristic, complemented
61C11×#331C2211yescharacteristic
62C11×#331C2211yescharacteristic
63C11×Q8⋊C8C2211yescharacteristic, complemented
64C11×Q8⋊C8C2211yescharacteristic, complemented
65C11×D4⋊C8C2211yescharacteristic
66C11×D4⋊C8C2211yescharacteristic
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic, complemented
70C11×D4⋊C8C2211yescharacteristic, complemented
71C2×C11×#41—21no—
72C2×C11×#41—21no—
73C2×C11×#41—21no—
74C2×C11×#41—21no—
75C22×D4×C11—21no—
76C22×D4×C11—21no—
77C2×C11×Q16—21no—
78C2×C11×SD16—21no—
79C2×C11×SD16—21no—
80C2×C11×SD16—21no—
81C2×C11×M16—21no—
82C22×C8×C11—21no—
83C11×C4⋊Q8D411yescharacteristic
84C11×C4⋊Q8C2311yescharacteristic
85C11×C4⋊Q8C2311yescharacteristic
86C11×C4⋊Q8C2311yescharacteristic
87C11×#127—22no—
88C11×#127—21no—
89C11×#127D411yescharacteristic
90C11×#127C2311yescharacteristic
91C11×#126—22no—
92C11×#126—22no—
93C11×#126—21no—
94C11×#125—21no—
95C11×#125D411yescharacteristic
96C11×#124—22no—
97C11×#124—21no—
98C11×#124—21no—
99C11×#124—21no—
100C11×#124D411yescharacteristic
101C11×#123—22no—
102C11×#123—22no—
103C11×#123—21no—
104C11×#123—22no—
105C11×C22⋊Q8—22no—
106C11×C22⋊Q8—21no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8D411yescharacteristic
111C11×#121—22no—
112C11×#121—22no—
113C11×#121—22no—
114C11×#121—22no—
115C11×#121—22no—
116C11×#121—21no—
117C11×#121—22no—
118C11×#121—21no—
119C11×#121—21no—
120C11×#121—21no—
121C11×#121—21no—
122C11×#121—21no—
123C11×#121D411yescharacteristic
124C11×#121D411yescharacteristic
125C11×#121D411yescharacteristic
126C11×#121D412yes—
127C11×#120—22no—
128C11×#120—22no—
129C11×#120—22no—
130C11×#120—22no—
131C4×Q8×C11—21no—
132C4×Q8×C11—21no—
133C4×Q8×C11—21no—
134C4×Q8×C11C2311yescharacteristic
135C4×D4×C11—22no—
136C4×D4×C11—21no—
137C4×D4×C11—21no—
138C4×D4×C11—21no—
139C4×D4×C11—21no—
140C4×D4×C11D412yes—
141C4×D4×C11C2311yescharacteristic
142C4×D4×C11C2311yescharacteristic
143C4×D4×C11C2311yescharacteristic
144C11×#117—21no—
145C11×#117—21no—
146C11×#117—21no—
147C2×C11×C4⋊C4—21no—
148C2×C11×C22⋊C4—22no—
149C2×C42×C11C2311yescharacteristic
150C11×#107—22no—
151C11×#107—21no—
152C11×#107—21no—
153C11×#107—21no—
154C11×#106—22no—
155C11×#106—21no—
156C11×C4⋊C8—21no—
157C11×C4⋊C8—21no—
158C11×C4⋊C8—21no—
159C11×C4⋊C8C2311yescharacteristic
160C11×C4⋊C8C2311yescharacteristic
161C11×C4⋊C8C2311yescharacteristic
162C11×C4⋊C8C2311yescharacteristic
163C11×#103—21no—
164C11×#103—21no—
165C11×#103—21no—
166C11×#103—21no—
167C11×#103—21no—
168C11×#102—21no—
169C11×#102—21no—
170C11×#102—21no—
171C11×#102—22no—
172C11×#102—22no—
173C11×C22⋊C8—21no—
174C4×C8×C11C2311yescharacteristic
175C4×C8×C11C2311yescharacteristic
176#18974C1111yesmaximal, characteristic, direct product factor, Sylow
177C24×C11—22no—
178C11×#41—81no—
179C11×#41—81no—
180C11×#41—81no—
181C11×#41—81no—
182C11×#41—81no—
183C11×#41—81no—
184C11×#41—81no—
185C11×#41—81no—
186C2×Q8×C11—21no—
187C2×Q8×C11—21no—
188C2×Q8×C11—21no—
189C2×Q8×C11—21no—
190C2×Q8×C11C2×D411yescharacteristic
191C2×D4×C11—22no—
192C2×D4×C11—22no—
193C2×D4×C11—22no—
194C2×D4×C11—22no—
195C2×D4×C11—22no—
196C2×D4×C11—21no—
197C2×D4×C11—21no—
198C2×D4×C11—22no—
199C2×D4×C11—21no—
200C2×D4×C11—21no—
201C2×D4×C11—21no—
202C2×D4×C11—21no—
203C2×D4×C11—21no—
204C2×D4×C11—81no—
205C2×D4×C11—81no—
206C2×D4×C11—81no—
207C2×D4×C11—81no—
208C2×D4×C11C2×D411yescharacteristic
209C2×D4×C11C2×D411yescharacteristic
210C2×D4×C11C2×D411yescharacteristic
211C2×D4×C11C2×D412yes—
212C22×C4×C11—22no—
213C22×C4×C11—22no—
214C22×C4×C11—21no—
215C22×C4×C11—21no—
216C22×C4×C11—21no—
217C22×C4×C11—22no—
218C22×C4×C11C2×D411yescharacteristic
219C22×C4×C11C2×D411yescharacteristic
220C22×C4×C11C2×D411yescharacteristic
221C11×Q16—81no—
222C11×SD16—81no—
223C11×SD16—81no—
224C11×SD16—81no—
225C11×M16—81no—
226C2×C8×C11—21no—
227C2×C8×C11—21no—
228C2×C8×C11—21no—
229C2×C8×C11—21no—
230C2×C8×C11—21no—
231C2×C8×C11—21no—
232C2×C8×C11—81no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4—22no—
235C11×C4⋊C4—21no—
236C11×C4⋊C4—21no—
237C11×C4⋊C4—21no—
238C11×C4⋊C4—21no—
239C11×C4⋊C4—21no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—21no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—21no—
245C11×C4⋊C4—41no—
246C11×C4⋊C4—41no—
247C11×C4⋊C4C2×D411yescharacteristic
248C11×C4⋊C4C2×D411yescharacteristic
249C11×C4⋊C4C2×D411yescharacteristic
250C11×C4⋊C4C2×D411yescharacteristic
251C11×C4⋊C4C2×D412yes—
252C11×C22⋊C4—22no—
253C11×C22⋊C4—22no—
254C11×C22⋊C4—22no—
255C11×C22⋊C4—22no—
256C11×C22⋊C4—22no—
257C11×C22⋊C4—21no—
258C11×C22⋊C4—21no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—21no—
262C11×C22⋊C4—21no—
263C11×C22⋊C4—22no—
264C11×C22⋊C4—22no—
265C11×C22⋊C4—21no—
266C11×C22⋊C4—21no—
267C11×C22⋊C4—21no—
268C11×C22⋊C4—41no—
269C42×C11—22no—
270C42×C11—21no—
271C42×C11—41no—
272C42×C11C2×D411yescharacteristic
273C42×C11C2×D411yescharacteristic
274C42×C11C2×D411yescharacteristic
275C42×C11C2411yescharacteristic
276#3546C2×C1111yescharacteristic
277#3254C2×C1111yescharacteristic, complemented
278#3248C2×C1111yescharacteristic, complemented
279#3228C2×C1111yescharacteristic, complemented
280#1654C2×C1111yescharacteristic, complemented
281#1652C2×C1111yescharacteristic, complemented
282#1650C2×C1111yescharacteristic, complemented
283#1647C2×C1111yescharacteristic, complemented
284#1642C2×C1111yescharacteristic, complemented
285#1641C2×C1111yescharacteristic, complemented
286#1639C2×C1111yescharacteristic, complemented
287#1639C2×C1111yescharacteristic, complemented
288#1547C2×C1111yescharacteristic, complemented
289#1495C2×C1111yescharacteristic, complemented
290#1480C2×C1111yescharacteristic, complemented
291C23×C11—21no—
292C23×C11—21no—
293C23×C11—22no—
294C23×C11—21no—
295C23×C11—82no—
296C23×C11—82no—
297C23×C11—82no—
298C23×C11#12011yescharacteristic
299Q8×C11—21no—
300Q8×C11—21no—
301Q8×C11—41no—
302Q8×C11—41no—
303Q8×C11—41no—
304Q8×C11—41no—
305Q8×C11—41no—
306Q8×C11—41no—
307Q8×C11—81no—
308D4×C11—21no—
309D4×C11—21no—
310D4×C11—21no—
311D4×C11—21no—
312D4×C11—21no—
313D4×C11—21no—
314D4×C11—42no—
315D4×C11—41no—
316D4×C11—41no—
317D4×C11—41no—
318D4×C11—41no—
319D4×C11—81no—
320D4×C11—81no—
321D4×C11—81no—
322D4×C11—81no—
323D4×C11—81no—
324D4×C11—82no—
325D4×C11—82no—
326D4×C11—82no—
327D4×C11—82no—
328D4×C11—82no—
329D4×C11—82no—
330C2×C4×C11—21no—
331C2×C4×C11—21no—
332C2×C4×C11—21no—
333C2×C4×C11—21no—
334C2×C4×C11—21no—
335C2×C4×C11—21no—
336C2×C4×C11—21no—
337C2×C4×C11—22no—
338C2×C4×C11—21no—
339C2×C4×C11—21no—
340C2×C4×C11—41no—
341C2×C4×C11—41no—
342C2×C4×C11—41no—
343C2×C4×C11—41no—
344C2×C4×C11—41no—
345C2×C4×C11—41no—
346C2×C4×C11—41no—
347C2×C4×C11—41no—
348C2×C4×C11—41no—
349C2×C4×C11—82no—
350C2×C4×C11—82no—
351C2×C4×C11—82no—
352C2×C4×C11#12011yescharacteristic
353C2×C4×C11#12011yescharacteristic
354C2×C4×C11#12011yescharacteristic
355C2×C4×C11C22×D411yescharacteristic
356C2×C4×C11C22×D411yescharacteristic
357C2×C4×C11C22×D411yescharacteristic
358C8×C11—41no—
359C8×C11—41no—
360C8×C11—41no—
361C8×C11—41no—
362C8×C11—41no—
363C8×C11—41no—
364#560—22no—
365#556C22×C1111yescharacteristic
366#553—21no—
367#550—21no—
368#550C22×C1111yescharacteristic
369#547C22×C1111yescharacteristic
370#546—21no—
371#546—21no—
372D42C22×C1111yescharacteristic
373#542—21no—
374#538—22no—
375#537—21no—
376#535—21no—
377#535—21no—
378#533C22×C1111yescharacteristic, complemented
379#532C22×C1111yescharacteristic
380#532C22×C1111yescharacteristic
381#529C22×C1111yescharacteristic
382#500C22×C1111yescharacteristic, complemented
383#498C22×C1111yescharacteristic, complemented
384#486C22×C1111yescharacteristic
385#486C22×C1111yescharacteristic
386#482—22no—
387#479—21no—
388#478—22no—
389#477—21no—
390#475C22×C1111yescharacteristic, complemented
391#474C22×C1111yescharacteristic
392#474C22×C1111yescharacteristic
393#474C22×C1111yescharacteristic, complemented
394#468—21no—
395#468—21no—
396#467—21no—
397#465—21no—
398#464—21no—
399#462C22×C1111yescharacteristic, complemented
400#461C22×C1111yescharacteristic
401#461C22×C1111yescharacteristic
402#461C22×C1111yescharacteristic, complemented
403#460—21no—
404#431C22×C1111yescharacteristic, complemented
405#423C22×C1111yescharacteristic, complemented
406C2×C4⋊C8C22×C1111yescharacteristic, complemented
407#332C22×C1111yescharacteristic, complemented
408#332C22×C1111yescharacteristic, complemented
409#331C22×C1111yescharacteristic
410#331C22×C1111yescharacteristic
411Q8⋊C8C22×C1111yescharacteristic, complemented
412Q8⋊C8C22×C1111yescharacteristic, complemented
413D4⋊C8C22×C1111yescharacteristic
414D4⋊C8C22×C1111yescharacteristic
415D4⋊C8C22×C1111yescharacteristic
416D4⋊C8C22×C1111yescharacteristic
417D4⋊C8C22×C1111yescharacteristic, complemented
418D4⋊C8C22×C1111yescharacteristic, complemented
419C22×C11—21no—
420C22×C11—21no—
421C22×C11—21no—
422C22×C11—41no—
423C22×C11—41no—
424C22×C11—41no—
425C22×C11—41no—
426C22×C11—42no—
427C22×C11—42no—
428C22×C11—41no—
429C22×C11—41no—
430C22×C11—42no—
431C22×C11—41no—
432C22×C11—41no—
433C22×C11—41no—
434C22×C11—164no—
435C22×C11C2×#12011yescharacteristic
436C4×C11—21no—
437C4×C11—21no—
438C4×C11—21no—
439C4×C11—21no—
440C4×C11—41no—
441C4×C11—41no—
442C4×C11—41no—
443C4×C11—41no—
444C4×C11—42no—
445C4×C11—41no—
446C4×C11—81no—
447C4×C11—81no—
448C4×C11#57611yescharacteristic
449C4×C11#57611yescharacteristic
450C4×C11#57711yescharacteristic
451C4×C11#57711yescharacteristic
452C2×#41—21no—
453C2×#41—21no—
454C2×#41—21no—
455C2×#41—21no—
456C22×D4—21no—
457C22×D4—21no—
458C2×Q16—21no—
459C2×SD16—21no—
460C2×SD16—21no—
461C2×SD16—21no—
462C2×M16—21no—
463C22×C8—21no—
464C4⋊Q8D4×C1111yescharacteristic
465C4⋊Q8C23×C1111yescharacteristic
466C4⋊Q8C23×C1111yescharacteristic
467C4⋊Q8C23×C1111yescharacteristic
468#127—22no—
469#127—21no—
470#127D4×C1111yescharacteristic
471#127C23×C1111yescharacteristic
472#126—22no—
473#126—22no—
474#126—21no—
475#125—21no—
476#125D4×C1111yescharacteristic
477#124—22no—
478#124—21no—
479#124—21no—
480#124—21no—
481#124D4×C1111yescharacteristic
482#123—22no—
483#123—22no—
484#123—21no—
485#123—22no—
486C22⋊Q8—22no—
487C22⋊Q8—21no—
488C22⋊Q8—21no—
489C22⋊Q8—21no—
490C22⋊Q8—21no—
491C22⋊Q8D4×C1111yescharacteristic
492#121—22no—
493#121—22no—
494#121—22no—
495#121—22no—
496#121—22no—
497#121—21no—
498#121—22no—
499#121—21no—
500#121—21no—
501#121—21no—
502#121—21no—
503#121—21no—
504#121D4×C1111yescharacteristic
505#121D4×C1111yescharacteristic
506#121D4×C1111yescharacteristic
507#121D4×C1112yes—
508#120—22no—
509#120—22no—
510#120—22no—
511#120—22no—
512C4×Q8—21no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8C23×C1111yescharacteristic
516C4×D4—22no—
517C4×D4—21no—
518C4×D4—21no—
519C4×D4—21no—
520C4×D4—21no—
521C4×D4D4×C1112yes—
522C4×D4C23×C1111yescharacteristic
523C4×D4C23×C1111yescharacteristic
524C4×D4C23×C1111yescharacteristic
525#117—21no—
526#117—21no—
527#117—21no—
528C2×C4⋊C4—21no—
529C2×C22⋊C4—22no—
530C2×C42C23×C1111yescharacteristic
531#107—21no—
532#107—21no—
533#107—21no—
534#107—22no—
535#106—21no—
536#106—22no—
537C4⋊C8—21no—
538C4⋊C8—21no—
539C4⋊C8—21no—
540C4⋊C8C23×C1111yescharacteristic
541C4⋊C8C23×C1111yescharacteristic
542C4⋊C8C23×C1111yescharacteristic
543C4⋊C8C23×C1111yescharacteristic
544#103—21no—
545#103—21no—
546#103—21no—
547#103—21no—
548#103—21no—
549#102—21no—
550#102—21no—
551#102—21no—
552#102—22no—
553#102—22no—
554C22⋊C8—21no—
555C4×C8C23×C1111yescharacteristic
556C4×C8C23×C1111yescharacteristic
557C2×C11—41no—
558C2×C11—81no—
559C2×C11—82no—
560C2×C11—81no—
561C2×C11—81no—
562C2×C11#301211yescharacteristic
563C2×C11#301211yescharacteristic
564C2×C11#302211yescharacteristic
565C24—22no—
566#41—81no—
567#41—81no—
568#41—81no—
569#41—81no—
570#41—81no—
571#41—81no—
572#41—81no—
573#41—81no—
574C2×Q8—21no—
575C2×Q8—21no—
576C2×Q8—21no—
577C2×Q8—21no—
578C2×Q8C2×D4×C1111yescharacteristic
579C2×D4—22no—
580C2×D4—22no—
581C2×D4—22no—
582C2×D4—22no—
583C2×D4—22no—
584C2×D4—21no—
585C2×D4—21no—
586C2×D4—22no—
587C2×D4—21no—
588C2×D4—21no—
589C2×D4—21no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—81no—
593C2×D4—81no—
594C2×D4—81no—
595C2×D4—81no—
596C2×D4C2×D4×C1111yescharacteristic
597C2×D4C2×D4×C1111yescharacteristic
598C2×D4C2×D4×C1111yescharacteristic
599C2×D4C2×D4×C1112yes—
600C22×C4—22no—
601C22×C4—22no—
602C22×C4—21no—
603C22×C4—21no—
604C22×C4—21no—
605C22×C4—22no—
606C22×C4C2×D4×C1111yescharacteristic
607C22×C4C2×D4×C1111yescharacteristic
608C22×C4C2×D4×C1111yescharacteristic
609Q16—81no—
610SD16—81no—
611SD16—81no—
612SD16—81no—
613M16—81no—
614C2×C8—21no—
615C2×C8—21no—
616C2×C8—21no—
617C2×C8—21no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—81no—
621C4⋊C4—22no—
622C4⋊C4—22no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—21no—
627C4⋊C4—21no—
628C4⋊C4—21no—
629C4⋊C4—21no—
630C4⋊C4—21no—
631C4⋊C4—21no—
632C4⋊C4—21no—
633C4⋊C4—41no—
634C4⋊C4—41no—
635C4⋊C4C2×D4×C1111yescharacteristic
636C4⋊C4C2×D4×C1111yescharacteristic
637C4⋊C4C2×D4×C1111yescharacteristic
638C4⋊C4C2×D4×C1111yescharacteristic
639C4⋊C4C2×D4×C1112yes—
640C22⋊C4—22no—
641C22⋊C4—22no—
642C22⋊C4—22no—
643C22⋊C4—22no—
644C22⋊C4—22no—
645C22⋊C4—21no—
646C22⋊C4—21no—
647C22⋊C4—21no—
648C22⋊C4—21no—
649C22⋊C4—21no—
650C22⋊C4—21no—
651C22⋊C4—22no—
652C22⋊C4—22no—
653C22⋊C4—21no—
654C22⋊C4—21no—
655C22⋊C4—21no—
656C22⋊C4—41no—
657C42—22no—
658C42—21no—
659C42—41no—
660C42C2×D4×C1111yescharacteristic
661C42C2×D4×C1111yescharacteristic
662C42C2×D4×C1111yescharacteristic
663C42C24×C1111yescharacteristic
664C11#1897411yescharacteristic, direct product factor, Sylow
665C23—21no—
666C23—21no—
667C23—22no—
668C23—21no—
669C23—82no—
670C23—82no—
671C23—82no—
672C23C11×#12011yescharacteristic
673Q8—21no—
674Q8—21no—
675Q8—41no—
676Q8—41no—
677Q8—41no—
678Q8—41no—
679Q8—41no—
680Q8—41no—
681Q8—81no—
682D4—21no—
683D4—21no—
684D4—21no—
685D4—21no—
686D4—21no—
687D4—21no—
688D4—42no—
689D4—41no—
690D4—41no—
691D4—41no—
692D4—41no—
693D4—81no—
694D4—81no—
695D4—81no—
696D4—81no—
697D4—81no—
698D4—82no—
699D4—82no—
700D4—82no—
701D4—82no—
702D4—82no—
703D4—82no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—21no—
711C2×C4—22no—
712C2×C4—21no—
713C2×C4—21no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—41no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—82no—
724C2×C4—82no—
725C2×C4—82no—
726C2×C4C11×#12011yescharacteristic
727C2×C4C11×#12011yescharacteristic
728C2×C4C11×#12011yescharacteristic
729C2×C4C22×D4×C1111yescharacteristic
730C2×C4C22×D4×C1111yescharacteristic
731C2×C4C22×D4×C1111yescharacteristic
732C8—41no—
733C8—41no—
734C8—41no—
735C8—41no—
736C8—41no—
737C8—41no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—42no—
746C22—42no—
747C22—41no—
748C22—41no—
749C22—42no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—164no—
754C22C2×C11×#12011yescharacteristic
755C4—21no—
756C4—21no—
757C4—21no—
758C4—21no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—42no—
764C4—41no—
765C4—81no—
766C4—81no—
767C4C11×#57611yescharacteristic
768C4C11×#57611yescharacteristic
769C4C11×#57711yescharacteristic
770C4C11×#57711yescharacteristic
771C2—41no—
772C2—81no—
773C2—81no—
774C2—82no—
775C2—81no—
776C2C11×#301211yescharacteristic
777C2C11×#301211yescharacteristic
778C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3546C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#3254C2semidirect
3. C11×#3248C2semidirect
4. C11×#3228C2semidirect
5. C11×#1654C2semidirect
6. C11×#1652C2semidirect
7. C11×#1650C2semidirect
8. C11×#1647C2semidirect
9. C11×#1642C2semidirect
10. C11×#1641C2semidirect
11. C11×#1639C2semidirect
12. C11×#1639C2semidirect
13. C11×#1547C2semidirect
14. C11×#1495C2semidirect
15. C11×#1480C2semidirect
30. C11×#533C22semidirect
34. C11×#500C22semidirect
35. C11×#498C22semidirect
42. C11×#475C22semidirect
45. C11×#474C22semidirect
51. C11×#462C22semidirect
54. C11×#461C22semidirect
56. C11×#431C22semidirect
57. C11×#423C22semidirect
58. C2×C11×C4⋊C8C22semidirect
59. C11×#332C22semidirect
60. C11×#332C22semidirect
63. C11×Q8⋊C8C22semidirect
64. C11×Q8⋊C8C22semidirect
69. C11×D4⋊C8C22semidirect
70. C11×D4⋊C8C22semidirect
176. #18974C11direct (N × H)
277. #3254C2×C11semidirect
278. #3248C2×C11semidirect
279. #3228C2×C11semidirect
280. #1654C2×C11semidirect
281. #1652C2×C11semidirect
282. #1650C2×C11semidirect
283. #1647C2×C11semidirect
284. #1642C2×C11semidirect
285. #1641C2×C11semidirect
286. #1639C2×C11semidirect
287. #1639C2×C11semidirect
288. #1547C2×C11semidirect
289. #1495C2×C11semidirect
290. #1480C2×C11semidirect
378. #533C22×C11semidirect
382. #500C22×C11semidirect
383. #498C22×C11semidirect
390. #475C22×C11semidirect
393. #474C22×C11semidirect
399. #462C22×C11semidirect
402. #461C22×C11semidirect
404. #431C22×C11semidirect
405. #423C22×C11semidirect
406. C2×C4⋊C8C22×C11semidirect
407. #332C22×C11semidirect
408. #332C22×C11semidirect
411. Q8⋊C8C22×C11semidirect
412. Q8⋊C8C22×C11semidirect
417. D4⋊C8C22×C11semidirect
418. D4⋊C8C22×C11semidirect
664. C11#18974direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35462
C11×#32542
C11×#32482
C11×#32282
C11×#16542
C11×#16522
C11×#16502
C11×#16472
C11×#16422
C11×#16412
C11×#16392
C11×#15472
C11×#14952
C11×#14802
#1897411