Finite Group Databasebeta

← C11×#18890 #14596083

Subgroups — C11×#18890 #14596083

Order 2816.

964 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3514C211yesmaximal, characteristic, complemented
2C11×#3247C211yesmaximal, characteristic, complemented
3C11×#3207C211yesmaximal, characteristic, complemented
4C11×#3106C211yesmaximal, characteristic, complemented
5C11×#1638C211yesmaximal, characteristic, complemented
6C11×#1637C211yesmaximal, characteristic, complemented
7C11×#1630C211yesmaximal, characteristic, complemented
8C11×#1629C211yesmaximal, characteristic, complemented
9C11×#1628C211yesmaximal, characteristic, complemented
10C11×#1627C211yesmaximal, characteristic, complemented
11C11×#1620C211yesmaximal, characteristic, complemented
12C11×#1619C211yesmaximal, characteristic, complemented
13C11×#1540C211yesmaximal, characteristic, complemented
14C11×#1482C211yesmaximal, characteristic, complemented
15C11×#1477C211yesmaximal, characteristic, complemented
16C11×#559C2211yescharacteristic
17C11×#556C2211yescharacteristic
18C11×#555—21no—
19C11×#551—22no—
20D4×Q8×C11C2211yescharacteristic
21C11×#548—21no—
22C11×#546—21no—
23C11×#546—21no—
24D42×C11C2211yescharacteristic
25C11×#542—21no—
26C11×#538—22no—
27C11×#532C2211yescharacteristic
28C11×#532C2211yescharacteristic, complemented
29C11×#529—21no—
30C11×#529C2211yescharacteristic
31C2×C11×#124—21no—
32C11×#518—21no—
33C4×C11×#41C2211yescharacteristic
34C11×#493C2211yescharacteristic
35C11×#492C2211yescharacteristic
36C11×#487C2211yescharacteristic, complemented
37C11×#486C2211yescharacteristic, complemented
38C11×#482—21no—
39C11×#478—21no—
40C11×#477C2211yescharacteristic, complemented
41C11×#477C2211yescharacteristic, complemented
42C11×#476C2211yescharacteristic
43C11×#476C2211yescharacteristic
44C11×#466—21no—
45C11×#465—21no—
46C11×#463—21no—
47C11×#463—22no—
48C11×#460C2211yescharacteristic, complemented
49C11×#460C2211yescharacteristic, complemented
50C11×#459C2211yescharacteristic
51C11×#459C2211yescharacteristic
52C11×#449—21no—
53C11×#449—22no—
54C4×C11×SD16—21no—
55C4×C11×D8—21no—
56C11×#431C2211yescharacteristic, complemented
57C11×#431C2211yescharacteristic, 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×Q8⋊C8C2211yescharacteristic, complemented
66C11×Q8⋊C8C2211yescharacteristic, complemented
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic
70C11×D4⋊C8C2211yescharacteristic
71C2×C11×#41—21no—
72C2×C11×#41—21no—
73C2×C11×#41D411yescharacteristic
74C22×Q8×C11—21no—
75C22×D4×C11—21no—
76C22×D4×C11—21no—
77C2×C11×SD16—21no—
78C2×C11×SD16—21no—
79C2×C11×SD16—22no—
80C2×C11×D8—21no—
81C2×C11×D8—22no—
82C2×C11×D8—21no—
83C22×C8×C11—21no—
84C11×C4⋊Q8—21no—
85C11×C4⋊Q8C2311yescharacteristic
86C11×C4⋊Q8C2311yescharacteristic
87C11×#127C2311yescharacteristic
88C11×#127C2311yescharacteristic
89C11×#126—22no—
90C11×#126—22no—
91C11×#126—21no—
92C11×#125D411yescharacteristic
93C11×#124—22no—
94C11×#124—22no—
95C11×#124—22no—
96C11×#124—21no—
97C11×#124—21no—
98C11×#124—21no—
99C11×#124—21no—
100C11×#124—21no—
101C11×#124D411yescharacteristic
102C11×#123—22no—
103C11×#123—22no—
104C11×#123—22no—
105C11×#123—21no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—22no—
110C11×C22⋊Q8D411yescharacteristic
111C11×#121—22no—
112C11×#121—22no—
113C11×#121—21no—
114C11×#121—21no—
115C11×#121—21no—
116C11×#121—21no—
117C11×#121—21no—
118C11×#121D411yescharacteristic
119C11×#121D412yes—
120C11×#120—22no—
121C11×#120—22no—
122C4×Q8×C11—21no—
123C4×Q8×C11D411yescharacteristic
124C4×Q8×C11C2311yescharacteristic
125C4×Q8×C11C2311yescharacteristic
126C4×D4×C11—22no—
127C4×D4×C11—22no—
128C4×D4×C11—21no—
129C4×D4×C11—21no—
130C4×D4×C11—21no—
131C4×D4×C11—21no—
132C4×D4×C11—21no—
133C4×D4×C11—21no—
134C4×D4×C11—21no—
135C4×D4×C11—21no—
136C4×D4×C11—21no—
137C4×D4×C11D411yescharacteristic
138C4×D4×C11D412yes—
139C4×D4×C11C2311yescharacteristic
140C4×D4×C11C2311yescharacteristic
141C11×#117—22no—
142C11×#117—21no—
143C11×#117—21no—
144C11×#117—21no—
145C11×#117D411yescharacteristic
146C2×C11×C22⋊C4—22no—
147C2×C11×C22⋊C4—22no—
148C2×C11×C22⋊C4—22no—
149C2×C42×C11—21no—
150C2×C42×C11C2311yescharacteristic
151C11×#107—21no—
152C11×#107—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—22no—
164C11×#102—21no—
165C11×#102—21no—
166C11×#102—21no—
167C11×#102—21no—
168C11×#102—22no—
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#18890C1111yesmaximal, characteristic, direct product factor, Sylow
177C24×C11—22no—
178C11×#41—22no—
179C11×#41—41no—
180C11×#41—81no—
181C11×#41—81no—
182C11×#41—82no—
183C2×Q8×C11—22no—
184C2×Q8×C11—21no—
185C2×Q8×C11—21no—
186C2×Q8×C11—81no—
187C2×Q8×C11—81no—
188C2×Q8×C11C2×D411yescharacteristic
189C2×Q8×C11C2×D411yescharacteristic
190C2×D4×C11—22no—
191C2×D4×C11—21no—
192C2×D4×C11—22no—
193C2×D4×C11—21no—
194C2×D4×C11—22no—
195C2×D4×C11—21no—
196C2×D4×C11—21no—
197C2×D4×C11—21no—
198C2×D4×C11—21no—
199C2×D4×C11—21no—
200C2×D4×C11—42no—
201C2×D4×C11—42no—
202C2×D4×C11—41no—
203C2×D4×C11—81no—
204C2×D4×C11—81no—
205C2×D4×C11C2×D411yescharacteristic
206C2×D4×C11C2×D411yescharacteristic
207C2×D4×C11C2×D412yes—
208C22×C4×C11—22no—
209C22×C4×C11—22no—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11—21no—
213C22×C4×C11—21no—
214C22×C4×C11—22no—
215C22×C4×C11—41no—
216C22×C4×C11C2×D411yescharacteristic
217C22×C4×C11C2×D411yescharacteristic
218C22×C4×C11C2×D411yescharacteristic
219C11×SD16—42no—
220C11×SD16—81no—
221C11×SD16—82no—
222C11×D8—42no—
223C11×D8—81no—
224C11×D8—82no—
225C2×C8×C11—21no—
226C2×C8×C11—21no—
227C2×C8×C11—21no—
228C2×C8×C11—21no—
229C2×C8×C11—21no—
230C2×C8×C11—21no—
231C2×C8×C11—81no—
232C11×C4⋊C4—22no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4—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⋊C4C2×D412yes—
244C11×C4⋊C4C2×D411yescharacteristic
245C11×C4⋊C4C2×D411yescharacteristic
246C11×C4⋊C4C2×D411yescharacteristic
247C11×C4⋊C4C2×D411yescharacteristic
248C11×C22⋊C4—22no—
249C11×C22⋊C4—22no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—22no—
252C11×C22⋊C4—22no—
253C11×C22⋊C4—22no—
254C11×C22⋊C4—22no—
255C11×C22⋊C4—21no—
256C11×C22⋊C4—21no—
257C11×C22⋊C4—21no—
258C11×C22⋊C4—21no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—22no—
262C11×C22⋊C4—22no—
263C11×C22⋊C4—21no—
264C11×C22⋊C4—21no—
265C11×C22⋊C4—41no—
266C11×C22⋊C4—41no—
267C42×C11—22no—
268C42×C11—21no—
269C42×C11—21no—
270C42×C11—21no—
271C42×C11—21no—
272C42×C11C2×D411yescharacteristic
273C42×C11C2×D411yescharacteristic
274C42×C11C2×D411yescharacteristic
275C42×C11C2411yescharacteristic
276#3514C2×C1111yescharacteristic, complemented
277#3247C2×C1111yescharacteristic, complemented
278#3207C2×C1111yescharacteristic, complemented
279#3106C2×C1111yescharacteristic, complemented
280#1638C2×C1111yescharacteristic, complemented
281#1637C2×C1111yescharacteristic, complemented
282#1630C2×C1111yescharacteristic, complemented
283#1629C2×C1111yescharacteristic, complemented
284#1628C2×C1111yescharacteristic, complemented
285#1627C2×C1111yescharacteristic, complemented
286#1620C2×C1111yescharacteristic, complemented
287#1619C2×C1111yescharacteristic, complemented
288#1540C2×C1111yescharacteristic, complemented
289#1482C2×C1111yescharacteristic, complemented
290#1477C2×C1111yescharacteristic, complemented
291C23×C11—21no—
292C23×C11—21no—
293C23×C11—22no—
294C23×C11—44no—
295C23×C11—41no—
296C23×C11—82no—
297C23×C11—82no—
298C23×C11#12011yescharacteristic
299Q8×C11—21no—
300Q8×C11—21no—
301Q8×C11—21no—
302Q8×C11—21no—
303Q8×C11—42no—
304Q8×C11—41no—
305Q8×C11—41no—
306Q8×C11—82no—
307D4×C11—21no—
308D4×C11—21no—
309D4×C11—21no—
310D4×C11—42no—
311D4×C11—42no—
312D4×C11—42no—
313D4×C11—44no—
314D4×C11—41no—
315D4×C11—41no—
316D4×C11—41no—
317D4×C11—41no—
318D4×C11—41no—
319D4×C11—41no—
320D4×C11—41no—
321D4×C11—41no—
322D4×C11—81no—
323D4×C11—82no—
324D4×C11—82no—
325D4×C11—82no—
326D4×C11#13512yes—
327C2×C4×C11—21no—
328C2×C4×C11—21no—
329C2×C4×C11—21no—
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—41no—
339C2×C4×C11—42no—
340C2×C4×C11—41no—
341C2×C4×C11—41no—
342C2×C4×C11—41no—
343C2×C4×C11—41no—
344C2×C4×C11—41no—
345C2×C4×C11—81no—
346C2×C4×C11—82no—
347C2×C4×C11—82no—
348C2×C4×C11—82no—
349C2×C4×C11—82no—
350C2×C4×C11#12011yescharacteristic
351C2×C4×C11#12011yescharacteristic
352C2×C4×C11#12011yescharacteristic
353C2×C4×C11C22×D411yescharacteristic
354C2×C4×C11C22×D411yescharacteristic
355C2×C4×C11C22×D411yescharacteristic
356C8×C11—41no—
357C8×C11—41no—
358C8×C11—41no—
359C8×C11—41no—
360C8×C11—41no—
361C8×C11—41no—
362#559C22×C1111yescharacteristic
363#556C22×C1111yescharacteristic
364#555—21no—
365#551—22no—
366D4×Q8C22×C1111yescharacteristic
367#548—21no—
368#546—21no—
369#546—21no—
370D42C22×C1111yescharacteristic
371#542—21no—
372#538—22no—
373#532C22×C1111yescharacteristic
374#532C22×C1111yescharacteristic, complemented
375#529—21no—
376#529C22×C1111yescharacteristic
377C2×#124—21no—
378#518—21no—
379C4×#41C22×C1111yescharacteristic
380#493C22×C1111yescharacteristic
381#492C22×C1111yescharacteristic
382#487C22×C1111yescharacteristic, complemented
383#486C22×C1111yescharacteristic, complemented
384#482—21no—
385#478—21no—
386#477C22×C1111yescharacteristic, complemented
387#477C22×C1111yescharacteristic, complemented
388#476C22×C1111yescharacteristic
389#476C22×C1111yescharacteristic
390#466—21no—
391#465—21no—
392#463—21no—
393#463—22no—
394#460C22×C1111yescharacteristic, complemented
395#460C22×C1111yescharacteristic, complemented
396#459C22×C1111yescharacteristic
397#459C22×C1111yescharacteristic
398#449—21no—
399#449—22no—
400C4×SD16—21no—
401C4×D8—21no—
402#431C22×C1111yescharacteristic, complemented
403#431C22×C1111yescharacteristic, complemented
404C2×C4⋊C8C22×C1111yescharacteristic, complemented
405#332C22×C1111yescharacteristic, complemented
406#332C22×C1111yescharacteristic, complemented
407#331C22×C1111yescharacteristic
408#331C22×C1111yescharacteristic
409Q8⋊C8C22×C1111yescharacteristic, complemented
410Q8⋊C8C22×C1111yescharacteristic, complemented
411Q8⋊C8C22×C1111yescharacteristic, complemented
412Q8⋊C8C22×C1111yescharacteristic, complemented
413D4⋊C8C22×C1111yescharacteristic
414D4⋊C8C22×C1111yescharacteristic
415D4⋊C8C22×C1111yescharacteristic
416D4⋊C8C22×C1111yescharacteristic
417C22×C11—21no—
418C22×C11—22no—
419C22×C11—21no—
420C22×C11—21no—
421C22×C11—41no—
422C22×C11—41no—
423C22×C11—41no—
424C22×C11—42no—
425C22×C11—42no—
426C22×C11—41no—
427C22×C11—42no—
428C22×C11—41no—
429C22×C11—81no—
430C22×C11—81no—
431C22×C11—81no—
432C22×C11—164no—
433C22×C11C2×#12011yescharacteristic
434C4×C11—21no—
435C4×C11—21no—
436C4×C11—21no—
437C4×C11—21no—
438C4×C11—41no—
439C4×C11—41no—
440C4×C11—41no—
441C4×C11—42no—
442C4×C11—41no—
443C4×C11—41no—
444C4×C11—41no—
445C4×C11—81no—
446C4×C11C2×#13511yescharacteristic
447C4×C11#57511yescharacteristic
448C4×C11#57611yescharacteristic
449C4×C11#57711yescharacteristic
450C2×#41—21no—
451C2×#41—21no—
452C2×#41D4×C1111yescharacteristic
453C22×Q8—21no—
454C22×D4—21no—
455C22×D4—21no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—22no—
459C2×D8—21no—
460C2×D8—22no—
461C2×D8—21no—
462C22×C8—21no—
463C4⋊Q8—21no—
464C4⋊Q8C23×C1111yescharacteristic
465C4⋊Q8C23×C1111yescharacteristic
466#127C23×C1111yescharacteristic
467#127C23×C1111yescharacteristic
468#126—22no—
469#126—22no—
470#126—21no—
471#125D4×C1111yescharacteristic
472#124—22no—
473#124—22no—
474#124—22no—
475#124—21no—
476#124—21no—
477#124—21no—
478#124—21no—
479#124—21no—
480#124D4×C1111yescharacteristic
481#123—22no—
482#123—22no—
483#123—22no—
484#123—21no—
485C22⋊Q8—22no—
486C22⋊Q8—21no—
487C22⋊Q8—21no—
488C22⋊Q8—22no—
489C22⋊Q8D4×C1111yescharacteristic
490#121—22no—
491#121—22no—
492#121—21no—
493#121—21no—
494#121—21no—
495#121—21no—
496#121—21no—
497#121D4×C1111yescharacteristic
498#121D4×C1112yes—
499#120—22no—
500#120—22no—
501C4×Q8—21no—
502C4×Q8D4×C1111yescharacteristic
503C4×Q8C23×C1111yescharacteristic
504C4×Q8C23×C1111yescharacteristic
505C4×D4—22no—
506C4×D4—22no—
507C4×D4—21no—
508C4×D4—21no—
509C4×D4—21no—
510C4×D4—21no—
511C4×D4—21no—
512C4×D4—21no—
513C4×D4—21no—
514C4×D4—21no—
515C4×D4—21no—
516C4×D4D4×C1111yescharacteristic
517C4×D4D4×C1112yes—
518C4×D4C23×C1111yescharacteristic
519C4×D4C23×C1111yescharacteristic
520#117—22no—
521#117—21no—
522#117—21no—
523#117—21no—
524#117D4×C1111yescharacteristic
525C2×C22⋊C4—22no—
526C2×C22⋊C4—22no—
527C2×C22⋊C4—22no—
528C2×C42—21no—
529C2×C42C23×C1111yescharacteristic
530#107—21no—
531#107—21no—
532#106—21no—
533#106—21no—
534C4⋊C8—21no—
535C4⋊C8—21no—
536C4⋊C8C23×C1111yescharacteristic
537C4⋊C8C23×C1111yescharacteristic
538C4⋊C8C23×C1111yescharacteristic
539C4⋊C8C23×C1111yescharacteristic
540#103—21no—
541#103—21no—
542#103—22no—
543#102—21no—
544#102—21no—
545#102—21no—
546#102—21no—
547#102—22no—
548#102—21no—
549#102—21no—
550C22⋊C8—21no—
551C22⋊C8—21no—
552C4×C8—21no—
553C4×C8C23×C1111yescharacteristic
554C4×C8C23×C1111yescharacteristic
555C2×C11—41no—
556C2×C11—42no—
557C2×C11—82no—
558C2×C11—81no—
559C2×C11—161no—
560C2×C11#300211yescharacteristic
561C2×C11#301211yescharacteristic
562C2×C11#302111yescharacteristic
563C24—22no—
564#41—22no—
565#41—41no—
566#41—81no—
567#41—81no—
568#41—82no—
569C2×Q8—22no—
570C2×Q8—21no—
571C2×Q8—21no—
572C2×Q8—81no—
573C2×Q8—81no—
574C2×Q8C2×D4×C1111yescharacteristic
575C2×Q8C2×D4×C1111yescharacteristic
576C2×D4—22no—
577C2×D4—21no—
578C2×D4—22no—
579C2×D4—21no—
580C2×D4—22no—
581C2×D4—21no—
582C2×D4—21no—
583C2×D4—21no—
584C2×D4—21no—
585C2×D4—21no—
586C2×D4—42no—
587C2×D4—42no—
588C2×D4—41no—
589C2×D4—81no—
590C2×D4—81no—
591C2×D4C2×D4×C1111yescharacteristic
592C2×D4C2×D4×C1111yescharacteristic
593C2×D4C2×D4×C1112yes—
594C22×C4—22no—
595C22×C4—22no—
596C22×C4—21no—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—21no—
600C22×C4—22no—
601C22×C4—41no—
602C22×C4C2×D4×C1111yescharacteristic
603C22×C4C2×D4×C1111yescharacteristic
604C22×C4C2×D4×C1111yescharacteristic
605SD16—42no—
606SD16—81no—
607SD16—82no—
608D8—42no—
609D8—81no—
610D8—82no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—21no—
614C2×C8—21no—
615C2×C8—21no—
616C2×C8—21no—
617C2×C8—81no—
618C4⋊C4—22no—
619C4⋊C4—22no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—21no—
627C4⋊C4—21no—
628C4⋊C4—21no—
629C4⋊C4C2×D4×C1112yes—
630C4⋊C4C2×D4×C1111yescharacteristic
631C4⋊C4C2×D4×C1111yescharacteristic
632C4⋊C4C2×D4×C1111yescharacteristic
633C4⋊C4C2×D4×C1111yescharacteristic
634C22⋊C4—22no—
635C22⋊C4—22no—
636C22⋊C4—22no—
637C22⋊C4—22no—
638C22⋊C4—22no—
639C22⋊C4—22no—
640C22⋊C4—22no—
641C22⋊C4—21no—
642C22⋊C4—21no—
643C22⋊C4—21no—
644C22⋊C4—21no—
645C22⋊C4—21no—
646C22⋊C4—21no—
647C22⋊C4—22no—
648C22⋊C4—22no—
649C22⋊C4—21no—
650C22⋊C4—21no—
651C22⋊C4—41no—
652C22⋊C4—41no—
653C42—22no—
654C42—21no—
655C42—21no—
656C42—21no—
657C42—21no—
658C42C2×D4×C1111yescharacteristic
659C42C2×D4×C1111yescharacteristic
660C42C2×D4×C1111yescharacteristic
661C42C24×C1111yescharacteristic
662C11#1889011yescharacteristic, direct product factor, Sylow
663C23—21no—
664C23—21no—
665C23—22no—
666C23—44no—
667C23—41no—
668C23—82no—
669C23—82no—
670C23C11×#12011yescharacteristic
671Q8—21no—
672Q8—21no—
673Q8—21no—
674Q8—21no—
675Q8—42no—
676Q8—41no—
677Q8—41no—
678Q8—82no—
679D4—21no—
680D4—21no—
681D4—21no—
682D4—42no—
683D4—42no—
684D4—42no—
685D4—44no—
686D4—41no—
687D4—41no—
688D4—41no—
689D4—41no—
690D4—41no—
691D4—41no—
692D4—41no—
693D4—41no—
694D4—81no—
695D4—82no—
696D4—82no—
697D4—82no—
698D4C11×#13512yes—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—22no—
710C2×C4—41no—
711C2×C4—42no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—41no—
717C2×C4—81no—
718C2×C4—82no—
719C2×C4—82no—
720C2×C4—82no—
721C2×C4—82no—
722C2×C4C11×#12011yescharacteristic
723C2×C4C11×#12011yescharacteristic
724C2×C4C11×#12011yescharacteristic
725C2×C4C22×D4×C1111yescharacteristic
726C2×C4C22×D4×C1111yescharacteristic
727C2×C4C22×D4×C1111yescharacteristic
728C8—41no—
729C8—41no—
730C8—41no—
731C8—41no—
732C8—41no—
733C8—41no—
734C22—21no—
735C22—22no—
736C22—21no—
737C22—21no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—42no—
742C22—42no—
743C22—41no—
744C22—42no—
745C22—41no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22—164no—
750C22C2×C11×#12011yescharacteristic
751C4—21no—
752C4—21no—
753C4—21no—
754C4—21no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—42no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—81no—
763C4C2×C11×#13511yescharacteristic
764C4C11×#57511yescharacteristic
765C4C11×#57611yescharacteristic
766C4C11×#57711yescharacteristic
767C2—41no—
768C2—42no—
769C2—81no—
770C2—82no—
771C2—161no—
772C2C11×#300211yescharacteristic
773C2C11×#301211yescharacteristic
774C2C11×#302111yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
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
1. C11×#3514C2semidirect
2. C11×#3247C2semidirect
3. C11×#3207C2semidirect
4. C11×#3106C2semidirect
5. C11×#1638C2semidirect
6. C11×#1637C2semidirect
7. C11×#1630C2semidirect
8. C11×#1629C2semidirect
9. C11×#1628C2semidirect
10. C11×#1627C2semidirect
11. C11×#1620C2semidirect
12. C11×#1619C2semidirect
13. C11×#1540C2semidirect
14. C11×#1482C2semidirect
15. C11×#1477C2semidirect
28. C11×#532C22semidirect
36. C11×#487C22semidirect
37. C11×#486C22semidirect
40. C11×#477C22semidirect
41. C11×#477C22semidirect
48. C11×#460C22semidirect
49. C11×#460C22semidirect
56. C11×#431C22semidirect
57. C11×#431C22semidirect
58. C2×C11×C4⋊C8C22semidirect
59. C11×#332C22semidirect
60. C11×#332C22semidirect
63. C11×Q8⋊C8C22semidirect
64. C11×Q8⋊C8C22semidirect
65. C11×Q8⋊C8C22semidirect
66. C11×Q8⋊C8C22semidirect
176. #18890C11direct (N × H)
276. #3514C2×C11semidirect
277. #3247C2×C11semidirect
278. #3207C2×C11semidirect
279. #3106C2×C11semidirect
280. #1638C2×C11semidirect
281. #1637C2×C11semidirect
282. #1630C2×C11semidirect
283. #1629C2×C11semidirect
284. #1628C2×C11semidirect
285. #1627C2×C11semidirect
286. #1620C2×C11semidirect
287. #1619C2×C11semidirect
288. #1540C2×C11semidirect
289. #1482C2×C11semidirect
290. #1477C2×C11semidirect
374. #532C22×C11semidirect
382. #487C22×C11semidirect
383. #486C22×C11semidirect
386. #477C22×C11semidirect
387. #477C22×C11semidirect
394. #460C22×C11semidirect
395. #460C22×C11semidirect
402. #431C22×C11semidirect
403. #431C22×C11semidirect
404. C2×C4⋊C8C22×C11semidirect
405. #332C22×C11semidirect
406. #332C22×C11semidirect
409. Q8⋊C8C22×C11semidirect
410. Q8⋊C8C22×C11semidirect
411. Q8⋊C8C22×C11semidirect
412. Q8⋊C8C22×C11semidirect
662. C11#18890direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35142
C11×#32472
C11×#32072
C11×#31062
C11×#16382
C11×#16372
C11×#16302
C11×#16292
C11×#16282
C11×#16272
C11×#16202
C11×#16192
C11×#15402
C11×#14822
C11×#14772
#1889011