Finite Group Databasebeta

← C11×#18931 #14596124

Subgroups — C11×#18931 #14596124

Order 2816.

986 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3543C211yesmaximal, characteristic
2C11×#3252C211yesmaximal, characteristic, complemented
3C11×#3233C211yesmaximal, characteristic, complemented
4C11×#3208C211yesmaximal, characteristic, complemented
5C11×#1642C211yesmaximal, characteristic, complemented
6C11×#1641C211yesmaximal, characteristic, complemented
7C11×#1640C211yesmaximal, characteristic, complemented
8C11×#1639C211yesmaximal, characteristic, complemented
9C11×#1631C211yesmaximal, characteristic, complemented
10C11×#1631C211yesmaximal, characteristic, complemented
11C11×#1630C211yesmaximal, characteristic, complemented
12C11×#1629C211yesmaximal, characteristic, complemented
13C11×#1545C211yesmaximal, characteristic, complemented
14C11×#1495C211yesmaximal, characteristic, complemented
15C11×#1482C211yesmaximal, characteristic, complemented
16C11×#560—22no—
17C11×#559C2211yescharacteristic
18C11×#550C2211yescharacteristic
19C11×#550C2211yescharacteristic
20C11×#546—21no—
21C11×#546—21no—
22D42×C11—21no—
23D42×C11—21no—
24D42×C11C2211yescharacteristic
25C11×#540—21no—
26C11×#540—21no—
27C11×#535—21no—
28C11×#535—21no—
29C11×#534—22no—
30C11×#533C2211yescharacteristic, complemented
31C2×C11×#127C2211yescharacteristic
32C11×#529C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C11×#499—21no—
35C11×#492C2211yescharacteristic
36C11×#492C2211yescharacteristic, complemented
37C11×#488—21no—
38C11×#486C2211yescharacteristic
39C11×#486C2211yescharacteristic, complemented
40C11×#485—21no—
41C11×#482—21no—
42C11×#479—21no—
43C11×#477C2211yescharacteristic, complemented
44C11×#477C2211yescharacteristic, complemented
45C11×#476C2211yescharacteristic, complemented
46C11×#476C2211yescharacteristic, complemented
47C11×#475C2211yescharacteristic, complemented
48C11×#474C2211yescharacteristic, complemented
49C11×#470—21no—
50C11×#468—21no—
51C11×#464—21no—
52C11×#462C2211yescharacteristic, complemented
53C11×#461C2211yescharacteristic, complemented
54C11×#460—22no—
55C11×#450—22no—
56C11×#431C2211yescharacteristic, complemented
57C11×#431C2211yescharacteristic, complemented
58C11×#423C2211yescharacteristic, complemented
59C11×#331C2211yescharacteristic
60C11×#331C2211yescharacteristic
61C11×#331C2211yescharacteristic, complemented
62C11×#331C2211yescharacteristic, complemented
63C11×Q8⋊C8C2211yescharacteristic, complemented
64C11×Q8⋊C8C2211yescharacteristic, complemented
65C11×Q8⋊C8C2211yescharacteristic, complemented
66C11×Q8⋊C8C2211yescharacteristic, complemented
67C11×D4⋊C8C2211yescharacteristic, complemented
68C11×D4⋊C8C2211yescharacteristic, complemented
69C11×D4⋊C8C2211yescharacteristic, complemented
70C11×D4⋊C8C2211yescharacteristic, complemented
71C2×C11×#41—21no—
72C2×C11×#41—21no—
73C22×D4×C11—22no—
74C22×D4×C11—21no—
75C22×D4×C11—21no—
76C22×D4×C11—21no—
77C22×D4×C11—21no—
78C22×D4×C11D412yes—
79C2×C11×Q16—21no—
80C2×C11×SD16—22no—
81C2×C11×SD16—22no—
82C2×C11×SD16—21no—
83C2×C11×M16—21no—
84C11×C4⋊Q8C2311yescharacteristic
85C11×C4⋊Q8C2311yescharacteristic
86C11×#127—21no—
87C11×#127—21no—
88C11×#127—21no—
89C11×#127—21no—
90C11×#127D412yes—
91C11×#127C2311yescharacteristic
92C11×#127C2311yescharacteristic
93C11×#126—21no—
94C11×#126—21no—
95C11×#125—21no—
96C11×#125D411yescharacteristic
97C11×#125D411yescharacteristic
98C11×#124—21no—
99C11×#124—21no—
100C11×#124D411yescharacteristic
101C11×#124D411yescharacteristic
102C11×#123—22no—
103C11×#123—22no—
104C11×#123—22no—
105C11×#123—22no—
106C11×#123—21no—
107C11×#123—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8D411yescharacteristic
111C11×C22⋊Q8D411yescharacteristic
112C11×#121—22no—
113C11×#121—22no—
114C11×#121—22no—
115C11×#121—22no—
116C11×#121—22no—
117C11×#121—22no—
118C11×#121—22no—
119C11×#121—22no—
120C11×#121—21no—
121C11×#121—21no—
122C11×#121—21no—
123C11×#121—21no—
124C11×#121D411yescharacteristic
125C11×#121D411yescharacteristic
126C11×#120—22no—
127C11×#120—22no—
128C11×#120—22no—
129C11×#120—22no—
130C11×#120—22no—
131C11×#120—22no—
132C4×Q8×C11—21no—
133C4×Q8×C11—21no—
134C4×Q8×C11C2311yescharacteristic
135C4×Q8×C11C2311yescharacteristic
136C4×D4×C11—21no—
137C4×D4×C11—21no—
138C4×D4×C11—21no—
139C4×D4×C11—21no—
140C4×D4×C11—21no—
141C4×D4×C11—21no—
142C4×D4×C11C2311yescharacteristic
143C4×D4×C11C2311yescharacteristic
144C11×#117—21no—
145C11×#117—21no—
146C11×#117—21no—
147C2×C11×C22⋊C4—22no—
148C2×C42×C11C2311yescharacteristic
149C11×#107—21no—
150C11×#107—21no—
151C11×#107—21no—
152C11×#106—21no—
153C11×#106—21no—
154C11×#106—21no—
155C11×C4⋊C8—21no—
156C11×C4⋊C8—21no—
157C11×C4⋊C8C2311yescharacteristic
158C11×C4⋊C8C2311yescharacteristic
159C11×C4⋊C8C2311yescharacteristic
160C11×C4⋊C8C2311yescharacteristic
161C11×#103—21no—
162C11×#103—21no—
163C11×#103—21no—
164C11×#103—21no—
165C11×#103—21no—
166C11×#102—22no—
167C11×#102—22no—
168C11×#102—21no—
169C11×#102—21no—
170C11×#102—21no—
171C11×C22⋊C8—21no—
172C11×C22⋊C8—21no—
173C4×C8×C11—21no—
174C4×C8×C11C2311yescharacteristic
175C4×C8×C11C2311yescharacteristic
176#18931C1111yesmaximal, characteristic, direct product factor, Sylow
177C24×C11—22no—
178C24×C11—22no—
179C11×#41—81no—
180C11×#41—81no—
181C11×#41—81no—
182C11×#41—81no—
183C2×Q8×C11—21no—
184C2×Q8×C11—21no—
185C2×Q8×C11C2×D411yescharacteristic
186C2×Q8×C11C2×D411yescharacteristic
187C2×D4×C11—21no—
188C2×D4×C11—21no—
189C2×D4×C11—22no—
190C2×D4×C11—22no—
191C2×D4×C11—22no—
192C2×D4×C11—22no—
193C2×D4×C11—22no—
194C2×D4×C11—22no—
195C2×D4×C11—22no—
196C2×D4×C11—22no—
197C2×D4×C11—22no—
198C2×D4×C11—21no—
199C2×D4×C11—21no—
200C2×D4×C11—21no—
201C2×D4×C11—21no—
202C2×D4×C11—81no—
203C2×D4×C11—81no—
204C2×D4×C11—81no—
205C2×D4×C11—81no—
206C2×D4×C11—81no—
207C2×D4×C11—81no—
208C2×D4×C11—81no—
209C2×D4×C11—81no—
210C2×D4×C11—82no—
211C2×D4×C11—84no—
212C2×D4×C11C2×D411yescharacteristic
213C2×D4×C11C2×D411yescharacteristic
214C2×D4×C11C2×D412yes—
215C2×D4×C11C2×D412yes—
216C22×C4×C11—22no—
217C22×C4×C11—22no—
218C22×C4×C11—22no—
219C22×C4×C11—21no—
220C22×C4×C11—21no—
221C22×C4×C11C2×D411yescharacteristic
222C22×C4×C11C2×D411yescharacteristic
223C22×C4×C11C2×D411yescharacteristic
224C11×Q16—81no—
225C11×SD16—81no—
226C11×SD16—82no—
227C11×SD16—82no—
228C11×M16—81no—
229C2×C8×C11—21no—
230C2×C8×C11—21no—
231C2×C8×C11—21no—
232C2×C8×C11—21no—
233C2×C8×C11—21no—
234C2×C8×C11—21no—
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—21no—
246C11×C4⋊C4—21no—
247C11×C4⋊C4—41no—
248C11×C4⋊C4—41no—
249C11×C4⋊C4C2×D411yescharacteristic
250C11×C4⋊C4C2×D411yescharacteristic
251C11×C4⋊C4C2×D411yescharacteristic
252C11×C4⋊C4C2×D411yescharacteristic
253C11×C22⋊C4—22no—
254C11×C22⋊C4—22no—
255C11×C22⋊C4—22no—
256C11×C22⋊C4—22no—
257C11×C22⋊C4—22no—
258C11×C22⋊C4—22no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—21no—
262C11×C22⋊C4—21no—
263C11×C22⋊C4—21no—
264C11×C22⋊C4—21no—
265C11×C22⋊C4—21no—
266C11×C22⋊C4—21no—
267C11×C22⋊C4—21no—
268C11×C22⋊C4—21no—
269C11×C22⋊C4—41no—
270C42×C11—21no—
271C42×C11—21no—
272C42×C11—41no—
273C42×C11C2×D411yescharacteristic
274C42×C11C2×D411yescharacteristic
275C42×C11C2×D411yescharacteristic
276C42×C11C2411yescharacteristic
277#3543C2×C1111yescharacteristic
278#3252C2×C1111yescharacteristic, complemented
279#3233C2×C1111yescharacteristic, complemented
280#3208C2×C1111yescharacteristic, complemented
281#1642C2×C1111yescharacteristic, complemented
282#1641C2×C1111yescharacteristic, complemented
283#1640C2×C1111yescharacteristic, complemented
284#1639C2×C1111yescharacteristic, complemented
285#1631C2×C1111yescharacteristic, complemented
286#1631C2×C1111yescharacteristic, complemented
287#1630C2×C1111yescharacteristic, complemented
288#1629C2×C1111yescharacteristic, complemented
289#1545C2×C1111yescharacteristic, complemented
290#1495C2×C1111yescharacteristic, complemented
291#1482C2×C1111yescharacteristic, complemented
292C23×C11—21no—
293C23×C11—21no—
294C23×C11—22no—
295C23×C11—22no—
296C23×C11—44no—
297C23×C11—82no—
298C23×C11—82no—
299C23×C11—82no—
300C23×C11—82no—
301C23×C11—82no—
302C23×C11#12011yescharacteristic
303Q8×C11—21no—
304Q8×C11—21no—
305Q8×C11—21no—
306Q8×C11—21no—
307Q8×C11—42no—
308Q8×C11—41no—
309Q8×C11—41no—
310D4×C11—21no—
311D4×C11—21no—
312D4×C11—21no—
313D4×C11—21no—
314D4×C11—42no—
315D4×C11—42no—
316D4×C11—42no—
317D4×C11—42no—
318D4×C11—41no—
319D4×C11—41no—
320D4×C11—41no—
321D4×C11—41no—
322D4×C11—41no—
323D4×C11—41no—
324D4×C11—41no—
325D4×C11—41no—
326D4×C11—82no—
327D4×C11—82no—
328D4×C11—82no—
329D4×C11—82no—
330D4×C11—82no—
331D4×C11—82no—
332D4×C11—82no—
333D4×C11—82no—
334D4×C11—82no—
335C2×C4×C11—21no—
336C2×C4×C11—21no—
337C2×C4×C11—21no—
338C2×C4×C11—21no—
339C2×C4×C11—21no—
340C2×C4×C11—21no—
341C2×C4×C11—21no—
342C2×C4×C11—21no—
343C2×C4×C11—21no—
344C2×C4×C11—21no—
345C2×C4×C11—41no—
346C2×C4×C11—41no—
347C2×C4×C11—41no—
348C2×C4×C11—41no—
349C2×C4×C11—41no—
350C2×C4×C11—41no—
351C2×C4×C11—41no—
352C2×C4×C11—82no—
353C2×C4×C11—82no—
354C2×C4×C11—82no—
355C2×C4×C11#12011yescharacteristic
356C2×C4×C11#12011yescharacteristic
357C2×C4×C11#12011yescharacteristic
358C2×C4×C11C22×D411yescharacteristic
359C2×C4×C11C22×D411yescharacteristic
360C2×C4×C11C22×D411yescharacteristic
361C8×C11—41no—
362C8×C11—41no—
363C8×C11—41no—
364C8×C11—41no—
365C8×C11—41no—
366C8×C11—41no—
367#560—22no—
368#559C22×C1111yescharacteristic
369#550C22×C1111yescharacteristic
370#550C22×C1111yescharacteristic
371#546—21no—
372#546—21no—
373D42—21no—
374D42—21no—
375D42C22×C1111yescharacteristic
376#540—21no—
377#540—21no—
378#535—21no—
379#535—21no—
380#534—22no—
381#533C22×C1111yescharacteristic, complemented
382C2×#127C22×C1111yescharacteristic
383#529C22×C1111yescharacteristic
384#529C22×C1111yescharacteristic
385#499—21no—
386#492C22×C1111yescharacteristic
387#492C22×C1111yescharacteristic, complemented
388#488—21no—
389#486C22×C1111yescharacteristic
390#486C22×C1111yescharacteristic, complemented
391#485—21no—
392#482—21no—
393#479—21no—
394#477C22×C1111yescharacteristic, complemented
395#477C22×C1111yescharacteristic, complemented
396#476C22×C1111yescharacteristic, complemented
397#476C22×C1111yescharacteristic, complemented
398#475C22×C1111yescharacteristic, complemented
399#474C22×C1111yescharacteristic, complemented
400#470—21no—
401#468—21no—
402#464—21no—
403#462C22×C1111yescharacteristic, complemented
404#461C22×C1111yescharacteristic, complemented
405#460—22no—
406#450—22no—
407#431C22×C1111yescharacteristic, complemented
408#431C22×C1111yescharacteristic, complemented
409#423C22×C1111yescharacteristic, complemented
410#331C22×C1111yescharacteristic
411#331C22×C1111yescharacteristic
412#331C22×C1111yescharacteristic, complemented
413#331C22×C1111yescharacteristic, complemented
414Q8⋊C8C22×C1111yescharacteristic, complemented
415Q8⋊C8C22×C1111yescharacteristic, complemented
416Q8⋊C8C22×C1111yescharacteristic, complemented
417Q8⋊C8C22×C1111yescharacteristic, complemented
418D4⋊C8C22×C1111yescharacteristic, complemented
419D4⋊C8C22×C1111yescharacteristic, complemented
420D4⋊C8C22×C1111yescharacteristic, complemented
421D4⋊C8C22×C1111yescharacteristic, complemented
422C22×C11—21no—
423C22×C11—21no—
424C22×C11—21no—
425C22×C11—41no—
426C22×C11—42no—
427C22×C11—41no—
428C22×C11—42no—
429C22×C11—41no—
430C22×C11—42no—
431C22×C11—41no—
432C22×C11—42no—
433C22×C11—42no—
434C22×C11—41no—
435C22×C11—41no—
436C22×C11—42no—
437C22×C11—164no—
438C22×C11—164no—
439C22×C11C2×#12011yescharacteristic
440C4×C11—21no—
441C4×C11—21no—
442C4×C11—21no—
443C4×C11—21no—
444C4×C11—41no—
445C4×C11—41no—
446C4×C11—41no—
447C4×C11—41no—
448C4×C11—41no—
449C4×C11—41no—
450C4×C11—81no—
451C4×C11—81no—
452C4×C11#57611yescharacteristic
453C4×C11#57711yescharacteristic
454C4×C11#57711yescharacteristic
455C4×C11#57711yescharacteristic
456C2×#41—21no—
457C2×#41—21no—
458C22×D4—22no—
459C22×D4—21no—
460C22×D4—21no—
461C22×D4—21no—
462C22×D4—21no—
463C22×D4D4×C1112yes—
464C2×Q16—21no—
465C2×SD16—22no—
466C2×SD16—22no—
467C2×SD16—21no—
468C2×M16—21no—
469C4⋊Q8C23×C1111yescharacteristic
470C4⋊Q8C23×C1111yescharacteristic
471#127—21no—
472#127—21no—
473#127—21no—
474#127—21no—
475#127D4×C1112yes—
476#127C23×C1111yescharacteristic
477#127C23×C1111yescharacteristic
478#126—21no—
479#126—21no—
480#125—21no—
481#125D4×C1111yescharacteristic
482#125D4×C1111yescharacteristic
483#124—21no—
484#124—21no—
485#124D4×C1111yescharacteristic
486#124D4×C1111yescharacteristic
487#123—22no—
488#123—22no—
489#123—22no—
490#123—22no—
491#123—21no—
492#123—21no—
493C22⋊Q8—21no—
494C22⋊Q8—21no—
495C22⋊Q8D4×C1111yescharacteristic
496C22⋊Q8D4×C1111yescharacteristic
497#121—22no—
498#121—22no—
499#121—22no—
500#121—22no—
501#121—22no—
502#121—22no—
503#121—22no—
504#121—22no—
505#121—21no—
506#121—21no—
507#121—21no—
508#121—21no—
509#121D4×C1111yescharacteristic
510#121D4×C1111yescharacteristic
511#120—22no—
512#120—22no—
513#120—22no—
514#120—22no—
515#120—22no—
516#120—22no—
517C4×Q8—21no—
518C4×Q8—21no—
519C4×Q8C23×C1111yescharacteristic
520C4×Q8C23×C1111yescharacteristic
521C4×D4—21no—
522C4×D4—21no—
523C4×D4—21no—
524C4×D4—21no—
525C4×D4—21no—
526C4×D4—21no—
527C4×D4C23×C1111yescharacteristic
528C4×D4C23×C1111yescharacteristic
529#117—21no—
530#117—21no—
531#117—21no—
532C2×C22⋊C4—22no—
533C2×C42C23×C1111yescharacteristic
534#107—21no—
535#107—21no—
536#107—21no—
537#106—21no—
538#106—21no—
539#106—21no—
540C4⋊C8—21no—
541C4⋊C8—21no—
542C4⋊C8C23×C1111yescharacteristic
543C4⋊C8C23×C1111yescharacteristic
544C4⋊C8C23×C1111yescharacteristic
545C4⋊C8C23×C1111yescharacteristic
546#103—21no—
547#103—21no—
548#103—21no—
549#103—21no—
550#103—21no—
551#102—22no—
552#102—22no—
553#102—21no—
554#102—21no—
555#102—21no—
556C22⋊C8—21no—
557C22⋊C8—21no—
558C4×C8—21no—
559C4×C8C23×C1111yescharacteristic
560C4×C8C23×C1111yescharacteristic
561C2×C11—41no—
562C2×C11—82no—
563C2×C11—81no—
564C2×C11—81no—
565C2×C11—82no—
566C2×C11#300911yescharacteristic
567C2×C11#301211yescharacteristic
568C2×C11#301911yescharacteristic
569C24—22no—
570C24—22no—
571#41—81no—
572#41—81no—
573#41—81no—
574#41—81no—
575C2×Q8—21no—
576C2×Q8—21no—
577C2×Q8C2×D4×C1111yescharacteristic
578C2×Q8C2×D4×C1111yescharacteristic
579C2×D4—21no—
580C2×D4—21no—
581C2×D4—22no—
582C2×D4—22no—
583C2×D4—22no—
584C2×D4—22no—
585C2×D4—22no—
586C2×D4—22no—
587C2×D4—22no—
588C2×D4—22no—
589C2×D4—22no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—21no—
593C2×D4—21no—
594C2×D4—81no—
595C2×D4—81no—
596C2×D4—81no—
597C2×D4—81no—
598C2×D4—81no—
599C2×D4—81no—
600C2×D4—81no—
601C2×D4—81no—
602C2×D4—82no—
603C2×D4—84no—
604C2×D4C2×D4×C1111yescharacteristic
605C2×D4C2×D4×C1111yescharacteristic
606C2×D4C2×D4×C1112yes—
607C2×D4C2×D4×C1112yes—
608C22×C4—22no—
609C22×C4—22no—
610C22×C4—22no—
611C22×C4—21no—
612C22×C4—21no—
613C22×C4C2×D4×C1111yescharacteristic
614C22×C4C2×D4×C1111yescharacteristic
615C22×C4C2×D4×C1111yescharacteristic
616Q16—81no—
617SD16—81no—
618SD16—82no—
619SD16—82no—
620M16—81no—
621C2×C8—21no—
622C2×C8—21no—
623C2×C8—21no—
624C2×C8—21no—
625C2×C8—21no—
626C2×C8—21no—
627C4⋊C4—21no—
628C4⋊C4—21no—
629C4⋊C4—21no—
630C4⋊C4—21no—
631C4⋊C4—21no—
632C4⋊C4—21no—
633C4⋊C4—21no—
634C4⋊C4—21no—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—21no—
639C4⋊C4—41no—
640C4⋊C4—41no—
641C4⋊C4C2×D4×C1111yescharacteristic
642C4⋊C4C2×D4×C1111yescharacteristic
643C4⋊C4C2×D4×C1111yescharacteristic
644C4⋊C4C2×D4×C1111yescharacteristic
645C22⋊C4—22no—
646C22⋊C4—22no—
647C22⋊C4—22no—
648C22⋊C4—22no—
649C22⋊C4—22no—
650C22⋊C4—22no—
651C22⋊C4—21no—
652C22⋊C4—21no—
653C22⋊C4—21no—
654C22⋊C4—21no—
655C22⋊C4—21no—
656C22⋊C4—21no—
657C22⋊C4—21no—
658C22⋊C4—21no—
659C22⋊C4—21no—
660C22⋊C4—21no—
661C22⋊C4—41no—
662C42—21no—
663C42—21no—
664C42—41no—
665C42C2×D4×C1111yescharacteristic
666C42C2×D4×C1111yescharacteristic
667C42C2×D4×C1111yescharacteristic
668C42C24×C1111yescharacteristic
669C11#1893111yescharacteristic, direct product factor, Sylow
670C23—21no—
671C23—21no—
672C23—22no—
673C23—22no—
674C23—44no—
675C23—82no—
676C23—82no—
677C23—82no—
678C23—82no—
679C23—82no—
680C23C11×#12011yescharacteristic
681Q8—21no—
682Q8—21no—
683Q8—21no—
684Q8—21no—
685Q8—42no—
686Q8—41no—
687Q8—41no—
688D4—21no—
689D4—21no—
690D4—21no—
691D4—21no—
692D4—42no—
693D4—42no—
694D4—42no—
695D4—42no—
696D4—41no—
697D4—41no—
698D4—41no—
699D4—41no—
700D4—41no—
701D4—41no—
702D4—41no—
703D4—41no—
704D4—82no—
705D4—82no—
706D4—82no—
707D4—82no—
708D4—82no—
709D4—82no—
710D4—82no—
711D4—82no—
712D4—82no—
713C2×C4—21no—
714C2×C4—21no—
715C2×C4—21no—
716C2×C4—21no—
717C2×C4—21no—
718C2×C4—21no—
719C2×C4—21no—
720C2×C4—21no—
721C2×C4—21no—
722C2×C4—21no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—41no—
729C2×C4—41no—
730C2×C4—82no—
731C2×C4—82no—
732C2×C4—82no—
733C2×C4C11×#12011yescharacteristic
734C2×C4C11×#12011yescharacteristic
735C2×C4C11×#12011yescharacteristic
736C2×C4C22×D4×C1111yescharacteristic
737C2×C4C22×D4×C1111yescharacteristic
738C2×C4C22×D4×C1111yescharacteristic
739C8—41no—
740C8—41no—
741C8—41no—
742C8—41no—
743C8—41no—
744C8—41no—
745C22—21no—
746C22—21no—
747C22—21no—
748C22—41no—
749C22—42no—
750C22—41no—
751C22—42no—
752C22—41no—
753C22—42no—
754C22—41no—
755C22—42no—
756C22—42no—
757C22—41no—
758C22—41no—
759C22—42no—
760C22—164no—
761C22—164no—
762C22C2×C11×#12011yescharacteristic
763C4—21no—
764C4—21no—
765C4—21no—
766C4—21no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—81no—
774C4—81no—
775C4C11×#57611yescharacteristic
776C4C11×#57711yescharacteristic
777C4C11×#57711yescharacteristic
778C4C11×#57711yescharacteristic
779C2—41no—
780C2—81no—
781C2—81no—
782C2—82no—
783C2—82no—
784C2C11×#300911yescharacteristic
785C2C11×#301211yescharacteristic
786C2C11×#301911yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3543C2
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×#3252C2semidirect
3. C11×#3233C2semidirect
4. C11×#3208C2semidirect
5. C11×#1642C2semidirect
6. C11×#1641C2semidirect
7. C11×#1640C2semidirect
8. C11×#1639C2semidirect
9. C11×#1631C2semidirect
10. C11×#1631C2semidirect
11. C11×#1630C2semidirect
12. C11×#1629C2semidirect
13. C11×#1545C2semidirect
14. C11×#1495C2semidirect
15. C11×#1482C2semidirect
30. C11×#533C22semidirect
36. C11×#492C22semidirect
39. C11×#486C22semidirect
43. C11×#477C22semidirect
44. C11×#477C22semidirect
45. C11×#476C22semidirect
46. C11×#476C22semidirect
47. C11×#475C22semidirect
48. C11×#474C22semidirect
52. C11×#462C22semidirect
53. C11×#461C22semidirect
56. C11×#431C22semidirect
57. C11×#431C22semidirect
58. C11×#423C22semidirect
61. C11×#331C22semidirect
62. C11×#331C22semidirect
63. C11×Q8⋊C8C22semidirect
64. C11×Q8⋊C8C22semidirect
65. C11×Q8⋊C8C22semidirect
66. C11×Q8⋊C8C22semidirect
67. C11×D4⋊C8C22semidirect
68. C11×D4⋊C8C22semidirect
69. C11×D4⋊C8C22semidirect
70. C11×D4⋊C8C22semidirect
176. #18931C11direct (N × H)
278. #3252C2×C11semidirect
279. #3233C2×C11semidirect
280. #3208C2×C11semidirect
281. #1642C2×C11semidirect
282. #1641C2×C11semidirect
283. #1640C2×C11semidirect
284. #1639C2×C11semidirect
285. #1631C2×C11semidirect
286. #1631C2×C11semidirect
287. #1630C2×C11semidirect
288. #1629C2×C11semidirect
289. #1545C2×C11semidirect
290. #1495C2×C11semidirect
291. #1482C2×C11semidirect
381. #533C22×C11semidirect
387. #492C22×C11semidirect
390. #486C22×C11semidirect
394. #477C22×C11semidirect
395. #477C22×C11semidirect
396. #476C22×C11semidirect
397. #476C22×C11semidirect
398. #475C22×C11semidirect
399. #474C22×C11semidirect
403. #462C22×C11semidirect
404. #461C22×C11semidirect
407. #431C22×C11semidirect
408. #431C22×C11semidirect
409. #423C22×C11semidirect
412. #331C22×C11semidirect
413. #331C22×C11semidirect
414. Q8⋊C8C22×C11semidirect
415. Q8⋊C8C22×C11semidirect
416. Q8⋊C8C22×C11semidirect
417. Q8⋊C8C22×C11semidirect
418. D4⋊C8C22×C11semidirect
419. D4⋊C8C22×C11semidirect
420. D4⋊C8C22×C11semidirect
421. D4⋊C8C22×C11semidirect
669. C11#18931direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35432
C11×#32522
C11×#32332
C11×#32082
C11×#16422
C11×#16412
C11×#16402
C11×#16392
C11×#16312
C11×#16302
C11×#16292
C11×#15452
C11×#14952
C11×#14822
#1893111