Finite Group Databasebeta

← C11×#18945 #14596138

Subgroups — C11×#18945 #14596138

Order 2816.

846 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3552C211yesmaximal, characteristic
2C11×#3252C211yesmaximal, characteristic, complemented
3C11×#3233C211yesmaximal, characteristic, complemented
4C11×#3230C211yesmaximal, characteristic, complemented
5C11×#1650C211yesmaximal, characteristic, complemented
6C11×#1649C211yesmaximal, characteristic, complemented
7C11×#1648C211yesmaximal, characteristic, complemented
8C11×#1647C211yesmaximal, characteristic, complemented
9C11×#1638C211yesmaximal, characteristic, complemented
10C11×#1637C211yesmaximal, characteristic, complemented
11C11×#1636C211yesmaximal, characteristic, complemented
12C11×#1635C211yesmaximal, characteristic, complemented
13C11×#1546C211yesmaximal, characteristic, complemented
14C11×#1495C211yesmaximal, characteristic, complemented
15C11×#1482C211yesmaximal, characteristic, complemented
16C11×#563—22no—
17C11×#557C2211yescharacteristic
18C11×#556C2211yescharacteristic
19C11×#554—21no—
20C11×#553—21no—
21D4×Q8×C11—21no—
22D4×Q8×C11C2211yescharacteristic
23C11×#548—21no—
24C11×#547C2211yescharacteristic
25C11×#544—21no—
26C11×#542—21no—
27C11×#541—21no—
28C11×#539—22no—
29C11×#536—21no—
30C11×#533C2211yescharacteristic
31C2×C11×C4⋊Q8C2211yescharacteristic
32C11×#529C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C11×#500C2211yescharacteristic
35C11×#500C2211yescharacteristic
36C11×#499—21no—
37C11×#488—21no—
38C11×#487C2211yescharacteristic
39C11×#487C2211yescharacteristic
40C11×#485—21no—
41C11×#484—22no—
42C11×#482—21no—
43C11×#479—21no—
44C11×#477—22no—
45C11×#477C2211yescharacteristic
46C11×#477C2211yescharacteristic
47C11×#476C2211yescharacteristic
48C11×#476C2211yescharacteristic
49C11×#475C2211yescharacteristic
50C11×#474C2211yescharacteristic
51C11×#470—21no—
52C11×#468—21no—
53C11×#464—21no—
54C11×#462C2211yescharacteristic
55C11×#461C2211yescharacteristic
56C11×#431C2211yescharacteristic
57C11×#431C2211yescharacteristic
58C11×#423C2211yescharacteristic
59C11×#332C2211yescharacteristic
60C11×#332C2211yescharacteristic
61C11×#332C2211yescharacteristic
62C11×#332C2211yescharacteristic
63C11×Q8⋊C8C2211yescharacteristic
64C11×Q8⋊C8C2211yescharacteristic
65C11×Q8⋊C8C2211yescharacteristic
66C11×Q8⋊C8C2211yescharacteristic
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic
70C11×D4⋊C8C2211yescharacteristic
71C2×C11×#41—21no—
72C22×Q8×C11—21no—
73C22×Q8×C11—21no—
74C2×C11×Q16—21no—
75C2×C11×SD16—21no—
76C2×C11×M16—21no—
77C11×C4⋊Q8—22no—
78C11×C4⋊Q8—21no—
79C11×C4⋊Q8—21no—
80C11×C4⋊Q8—21no—
81C11×C4⋊Q8—21no—
82C11×C4⋊Q8D412yes—
83C11×C4⋊Q8C2311yescharacteristic
84C11×C4⋊Q8C2311yescharacteristic
85C11×C4⋊Q8C2311yescharacteristic
86C11×C4⋊Q8C2311yescharacteristic
87C11×#126—22no—
88C11×#126—22no—
89C11×#126—22no—
90C11×#126—21no—
91C11×#126—21no—
92C11×#125—22no—
93C11×#125—22no—
94C11×#125—22no—
95C11×#125—21no—
96C11×#125—21no—
97C11×#125D411yescharacteristic
98C11×#125D411yescharacteristic
99C11×#124—22no—
100C11×#124—21no—
101C11×#124D411yescharacteristic
102C11×#124D411yescharacteristic
103C11×#123—22no—
104C11×#123—22no—
105C11×#123—21no—
106C11×#123—21no—
107C11×#123—22no—
108C11×C22⋊Q8—22no—
109C11×C22⋊Q8—22no—
110C11×C22⋊Q8—22no—
111C11×C22⋊Q8—22no—
112C11×C22⋊Q8—22no—
113C11×C22⋊Q8—21no—
114C11×C22⋊Q8—22no—
115C11×C22⋊Q8—21no—
116C11×C22⋊Q8—21no—
117C11×C22⋊Q8—21no—
118C11×C22⋊Q8—21no—
119C11×C22⋊Q8D411yescharacteristic
120C11×C22⋊Q8D411yescharacteristic
121C11×#121—22no—
122C11×#121—21no—
123C11×#121D411yescharacteristic
124C11×#121D411yescharacteristic
125C4×Q8×C11—21no—
126C4×Q8×C11—21no—
127C4×Q8×C11—21no—
128C4×Q8×C11—21no—
129C4×Q8×C11—21no—
130C4×Q8×C11C2311yescharacteristic
131C4×Q8×C11C2311yescharacteristic
132C4×D4×C11—22no—
133C4×D4×C11—22no—
134C4×D4×C11—21no—
135C4×D4×C11—21no—
136C4×D4×C11—21no—
137C4×D4×C11C2311yescharacteristic
138C4×D4×C11C2311yescharacteristic
139C11×#117—21no—
140C11×#117—21no—
141C11×#117—21no—
142C11×#117—21no—
143C2×C11×C4⋊C4—21no—
144C2×C11×C4⋊C4—21no—
145C2×C11×C4⋊C4D412yes—
146C2×C42×C11C2311yescharacteristic
147C11×#107—21no—
148C11×#107—21no—
149C11×#107—22no—
150C11×#107—22no—
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×#103—22no—
167C11×#103—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#18945C1111yesmaximal, characteristic, direct product factor, Sylow
177C11×#41—81no—
178C11×#41—81no—
179C2×Q8×C11—22no—
180C2×Q8×C11—22no—
181C2×Q8×C11—21no—
182C2×Q8×C11—21no—
183C2×Q8×C11—21no—
184C2×Q8×C11—21no—
185C2×Q8×C11—81no—
186C2×Q8×C11—81no—
187C2×Q8×C11—81no—
188C2×Q8×C11—81no—
189C2×Q8×C11C2×D411yescharacteristic
190C2×Q8×C11C2×D411yescharacteristic
191C2×D4×C11—21no—
192C2×D4×C11—21no—
193C2×D4×C11—22no—
194C2×D4×C11C2×D411yescharacteristic
195C2×D4×C11C2×D411yescharacteristic
196C22×C4×C11—22no—
197C22×C4×C11—22no—
198C22×C4×C11—22no—
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D411yescharacteristic
204C11×Q16—81no—
205C11×SD16—81no—
206C11×M16—81no—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11—21no—
210C2×C8×C11—21no—
211C2×C8×C11—21no—
212C2×C8×C11—21no—
213C11×C4⋊C4—22no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—21no—
234C11×C4⋊C4—21no—
235C11×C4⋊C4—41no—
236C11×C4⋊C4—41no—
237C11×C4⋊C4C2×D411yescharacteristic
238C11×C4⋊C4C2×D412yes—
239C11×C4⋊C4C2×D412yes—
240C11×C4⋊C4C2×D411yescharacteristic
241C11×C4⋊C4C2×D411yescharacteristic
242C11×C4⋊C4C2×D411yescharacteristic
243C11×C22⋊C4—22no—
244C11×C22⋊C4—22no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—22no—
247C11×C22⋊C4—21no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C11×C22⋊C4—21no—
251C11×C22⋊C4—21no—
252C11×C22⋊C4—21no—
253C11×C22⋊C4—21no—
254C11×C22⋊C4—21no—
255C11×C22⋊C4—21no—
256C11×C22⋊C4—21no—
257C11×C22⋊C4—41no—
258C42×C11—22no—
259C42×C11—22no—
260C42×C11—21no—
261C42×C11—21no—
262C42×C11—41no—
263C42×C11C2×D411yescharacteristic
264C42×C11C2×D411yescharacteristic
265C42×C11C2×D411yescharacteristic
266C42×C11C2411yescharacteristic
267#3552C2×C1111yescharacteristic
268#3252C2×C1111yescharacteristic, complemented
269#3233C2×C1111yescharacteristic, complemented
270#3230C2×C1111yescharacteristic, complemented
271#1650C2×C1111yescharacteristic, complemented
272#1649C2×C1111yescharacteristic, complemented
273#1648C2×C1111yescharacteristic, complemented
274#1647C2×C1111yescharacteristic, complemented
275#1638C2×C1111yescharacteristic, complemented
276#1637C2×C1111yescharacteristic, complemented
277#1636C2×C1111yescharacteristic, complemented
278#1635C2×C1111yescharacteristic, complemented
279#1546C2×C1111yescharacteristic, complemented
280#1495C2×C1111yescharacteristic, complemented
281#1482C2×C1111yescharacteristic, complemented
282C23×C11—21no—
283C23×C11—21no—
284C23×C11#12011yescharacteristic
285Q8×C11—21no—
286Q8×C11—21no—
287Q8×C11—21no—
288Q8×C11—21no—
289Q8×C11—42no—
290Q8×C11—41no—
291Q8×C11—41no—
292Q8×C11—41no—
293Q8×C11—41no—
294Q8×C11—41no—
295Q8×C11—41no—
296Q8×C11—82no—
297Q8×C11—82no—
298D4×C11—21no—
299D4×C11—21no—
300D4×C11—21no—
301D4×C11—21no—
302D4×C11—42no—
303D4×C11—42no—
304D4×C11—82no—
305C2×C4×C11—21no—
306C2×C4×C11—21no—
307C2×C4×C11—21no—
308C2×C4×C11—21no—
309C2×C4×C11—21no—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—21no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—82no—
325C2×C4×C11—82no—
326C2×C4×C11—82no—
327C2×C4×C11#12011yescharacteristic
328C2×C4×C11#12011yescharacteristic
329C2×C4×C11#12011yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332C2×C4×C11C22×D411yescharacteristic
333C8×C11—41no—
334C8×C11—41no—
335C8×C11—41no—
336C8×C11—41no—
337C8×C11—41no—
338C8×C11—41no—
339#563—22no—
340#557C22×C1111yescharacteristic
341#556C22×C1111yescharacteristic
342#554—21no—
343#553—21no—
344D4×Q8—21no—
345D4×Q8C22×C1111yescharacteristic
346#548—21no—
347#547C22×C1111yescharacteristic
348#544—21no—
349#542—21no—
350#541—21no—
351#539—22no—
352#536—21no—
353#533C22×C1111yescharacteristic
354C2×C4⋊Q8C22×C1111yescharacteristic
355#529C22×C1111yescharacteristic
356#529C22×C1111yescharacteristic
357#500C22×C1111yescharacteristic
358#500C22×C1111yescharacteristic
359#499—21no—
360#488—21no—
361#487C22×C1111yescharacteristic
362#487C22×C1111yescharacteristic
363#485—21no—
364#484—22no—
365#482—21no—
366#479—21no—
367#477—22no—
368#477C22×C1111yescharacteristic
369#477C22×C1111yescharacteristic
370#476C22×C1111yescharacteristic
371#476C22×C1111yescharacteristic
372#475C22×C1111yescharacteristic
373#474C22×C1111yescharacteristic
374#470—21no—
375#468—21no—
376#464—21no—
377#462C22×C1111yescharacteristic
378#461C22×C1111yescharacteristic
379#431C22×C1111yescharacteristic
380#431C22×C1111yescharacteristic
381#423C22×C1111yescharacteristic
382#332C22×C1111yescharacteristic
383#332C22×C1111yescharacteristic
384#332C22×C1111yescharacteristic
385#332C22×C1111yescharacteristic
386Q8⋊C8C22×C1111yescharacteristic
387Q8⋊C8C22×C1111yescharacteristic
388Q8⋊C8C22×C1111yescharacteristic
389Q8⋊C8C22×C1111yescharacteristic
390D4⋊C8C22×C1111yescharacteristic
391D4⋊C8C22×C1111yescharacteristic
392D4⋊C8C22×C1111yescharacteristic
393D4⋊C8C22×C1111yescharacteristic
394C22×C11—21no—
395C22×C11—21no—
396C22×C11—21no—
397C22×C11—41no—
398C22×C11—41no—
399C22×C11—41no—
400C22×C11—41no—
401C22×C11—41no—
402C22×C11—41no—
403C22×C11C2×#12011yescharacteristic
404C4×C11—21no—
405C4×C11—21no—
406C4×C11—21no—
407C4×C11—21no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11—42no—
412C4×C11—41no—
413C4×C11—42no—
414C4×C11—41no—
415C4×C11—41no—
416C4×C11—81no—
417C4×C11—81no—
418C4×C11#57611yescharacteristic
419C4×C11#57711yescharacteristic
420C4×C11#57811yescharacteristic
421C4×C11#57811yescharacteristic
422C2×#41—21no—
423C22×Q8—21no—
424C22×Q8—21no—
425C2×Q16—21no—
426C2×SD16—21no—
427C2×M16—21no—
428C4⋊Q8—22no—
429C4⋊Q8—21no—
430C4⋊Q8—21no—
431C4⋊Q8—21no—
432C4⋊Q8—21no—
433C4⋊Q8D4×C1112yes—
434C4⋊Q8C23×C1111yescharacteristic
435C4⋊Q8C23×C1111yescharacteristic
436C4⋊Q8C23×C1111yescharacteristic
437C4⋊Q8C23×C1111yescharacteristic
438#126—22no—
439#126—22no—
440#126—22no—
441#126—21no—
442#126—21no—
443#125—22no—
444#125—22no—
445#125—22no—
446#125—21no—
447#125—21no—
448#125D4×C1111yescharacteristic
449#125D4×C1111yescharacteristic
450#124—22no—
451#124—21no—
452#124D4×C1111yescharacteristic
453#124D4×C1111yescharacteristic
454#123—22no—
455#123—22no—
456#123—21no—
457#123—21no—
458#123—22no—
459C22⋊Q8—22no—
460C22⋊Q8—22no—
461C22⋊Q8—22no—
462C22⋊Q8—22no—
463C22⋊Q8—22no—
464C22⋊Q8—21no—
465C22⋊Q8—22no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8D4×C1111yescharacteristic
471C22⋊Q8D4×C1111yescharacteristic
472#121—22no—
473#121—21no—
474#121D4×C1111yescharacteristic
475#121D4×C1111yescharacteristic
476C4×Q8—21no—
477C4×Q8—21no—
478C4×Q8—21no—
479C4×Q8—21no—
480C4×Q8—21no—
481C4×Q8C23×C1111yescharacteristic
482C4×Q8C23×C1111yescharacteristic
483C4×D4—22no—
484C4×D4—22no—
485C4×D4—21no—
486C4×D4—21no—
487C4×D4—21no—
488C4×D4C23×C1111yescharacteristic
489C4×D4C23×C1111yescharacteristic
490#117—21no—
491#117—21no—
492#117—21no—
493#117—21no—
494C2×C4⋊C4—21no—
495C2×C4⋊C4—21no—
496C2×C4⋊C4D4×C1112yes—
497C2×C42C23×C1111yescharacteristic
498#107—21no—
499#107—21no—
500#107—22no—
501#107—22no—
502#107—21no—
503#106—21no—
504#106—21no—
505#106—21no—
506C4⋊C8—21no—
507C4⋊C8—21no—
508C4⋊C8C23×C1111yescharacteristic
509C4⋊C8C23×C1111yescharacteristic
510C4⋊C8C23×C1111yescharacteristic
511C4⋊C8C23×C1111yescharacteristic
512#103—21no—
513#103—21no—
514#103—21no—
515#103—21no—
516#103—21no—
517#103—22no—
518#103—22no—
519#102—21no—
520#102—21no—
521#102—21no—
522C22⋊C8—21no—
523C22⋊C8—21no—
524C4×C8—21no—
525C4×C8C23×C1111yescharacteristic
526C4×C8C23×C1111yescharacteristic
527C2×C11—41no—
528C2×C11—81no—
529C2×C11—81no—
530C2×C11#301111yescharacteristic
531C2×C11#301211yescharacteristic
532C2×C11#302011yescharacteristic
533#41—81no—
534#41—81no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—81no—
542C2×Q8—81no—
543C2×Q8—81no—
544C2×Q8—81no—
545C2×Q8C2×D4×C1111yescharacteristic
546C2×Q8C2×D4×C1111yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4C2×D4×C1111yescharacteristic
551C2×D4C2×D4×C1111yescharacteristic
552C22×C4—22no—
553C22×C4—22no—
554C22×C4—22no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4C2×D4×C1111yescharacteristic
558C22×C4C2×D4×C1111yescharacteristic
559C22×C4C2×D4×C1111yescharacteristic
560Q16—81no—
561SD16—81no—
562M16—81no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—41no—
592C4⋊C4—41no—
593C4⋊C4C2×D4×C1111yescharacteristic
594C4⋊C4C2×D4×C1112yes—
595C4⋊C4C2×D4×C1112yes—
596C4⋊C4C2×D4×C1111yescharacteristic
597C4⋊C4C2×D4×C1111yescharacteristic
598C4⋊C4C2×D4×C1111yescharacteristic
599C22⋊C4—22no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—41no—
614C42—22no—
615C42—22no—
616C42—21no—
617C42—21no—
618C42—41no—
619C42C2×D4×C1111yescharacteristic
620C42C2×D4×C1111yescharacteristic
621C42C2×D4×C1111yescharacteristic
622C42C24×C1111yescharacteristic
623C11#1894511yescharacteristic, direct product factor, Sylow
624C23—21no—
625C23—21no—
626C23C11×#12011yescharacteristic
627Q8—21no—
628Q8—21no—
629Q8—21no—
630Q8—21no—
631Q8—42no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8—41no—
638Q8—82no—
639Q8—82no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—42no—
645D4—42no—
646D4—82no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—82no—
669C2×C4C11×#12011yescharacteristic
670C2×C4C11×#12011yescharacteristic
671C2×C4C11×#12011yescharacteristic
672C2×C4C22×D4×C1111yescharacteristic
673C2×C4C22×D4×C1111yescharacteristic
674C2×C4C22×D4×C1111yescharacteristic
675C8—41no—
676C8—41no—
677C8—41no—
678C8—41no—
679C8—41no—
680C8—41no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22C2×C11×#12011yescharacteristic
691C4—21no—
692C4—21no—
693C4—21no—
694C4—21no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—42no—
699C4—41no—
700C4—42no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4C11×#57611yescharacteristic
706C4C11×#57711yescharacteristic
707C4C11×#57811yescharacteristic
708C4C11×#57811yescharacteristic
709C2—41no—
710C2—81no—
711C2—81no—
712C2C11×#301111yescharacteristic
713C2C11×#301211yescharacteristic
714C2C11×#302011yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3552C2
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×#3230C2semidirect
5. C11×#1650C2semidirect
6. C11×#1649C2semidirect
7. C11×#1648C2semidirect
8. C11×#1647C2semidirect
9. C11×#1638C2semidirect
10. C11×#1637C2semidirect
11. C11×#1636C2semidirect
12. C11×#1635C2semidirect
13. C11×#1546C2semidirect
14. C11×#1495C2semidirect
15. C11×#1482C2semidirect
176. #18945C11direct (N × H)
268. #3252C2×C11semidirect
269. #3233C2×C11semidirect
270. #3230C2×C11semidirect
271. #1650C2×C11semidirect
272. #1649C2×C11semidirect
273. #1648C2×C11semidirect
274. #1647C2×C11semidirect
275. #1638C2×C11semidirect
276. #1637C2×C11semidirect
277. #1636C2×C11semidirect
278. #1635C2×C11semidirect
279. #1546C2×C11semidirect
280. #1495C2×C11semidirect
281. #1482C2×C11semidirect
623. C11#18945direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35522
C11×#32522
C11×#32332
C11×#32302
C11×#16502
C11×#16492
C11×#16482
C11×#16472
C11×#16382
C11×#16372
C11×#16362
C11×#16352
C11×#15462
C11×#14952
C11×#14822
#1894511