Finite Group Databasebeta

← C11×#18891 #14596084

Subgroups — C11×#18891 #14596084

Order 2816.

900 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3515C211yesmaximal, characteristic, complemented
2C11×#3247C211yesmaximal, characteristic, complemented
3C11×#3210C211yesmaximal, characteristic, complemented
4C11×#3106C211yesmaximal, characteristic, complemented
5C11×#1636C211yesmaximal, characteristic, complemented
6C11×#1635C211yesmaximal, characteristic, complemented
7C11×#1632C211yesmaximal, characteristic, complemented
8C11×#1632C211yesmaximal, characteristic, complemented
9C11×#1626C211yesmaximal, characteristic, complemented
10C11×#1625C211yesmaximal, characteristic, complemented
11C11×#1622C211yesmaximal, characteristic, complemented
12C11×#1622C211yesmaximal, characteristic, complemented
13C11×#1542C211yesmaximal, characteristic, complemented
14C11×#1482C211yesmaximal, characteristic, complemented
15C11×#1477C211yesmaximal, characteristic, complemented
16C11×#557C2211yescharacteristic
17C11×#554C2211yescharacteristic
18C11×#554C2211yescharacteristic
19C11×#553—21no—
20C11×#552—21no—
21C11×#552—22no—
22C11×#552—21no—
23C11×#547—21no—
24C11×#547C2211yescharacteristic
25C11×#541—21no—
26C11×#539—22no—
27C11×#533C2211yescharacteristic
28C11×#532C2211yescharacteristic
29C11×#529—21no—
30C11×#529C2211yescharacteristic
31C2×C11×#125—21no—
32C11×#520—21no—
33C4×C11×#41C2211yescharacteristic
34C11×#494C2211yescharacteristic
35C11×#492C2211yescharacteristic
36C11×#487C2211yescharacteristic
37C11×#486C2211yescharacteristic
38C11×#482—21no—
39C11×#478—21no—
40C11×#477C2211yescharacteristic
41C11×#477C2211yescharacteristic
42C11×#476C2211yescharacteristic
43C11×#476C2211yescharacteristic
44C11×#466—21no—
45C11×#465—21no—
46C11×#464—22no—
47C11×#463—21no—
48C11×#460C2211yescharacteristic
49C11×#460C2211yescharacteristic
50C11×#459C2211yescharacteristic
51C11×#459C2211yescharacteristic
52C11×#452—22no—
53C11×#449—21no—
54C4×C11×SD16—21no—
55C4×C11×D8—21no—
56C11×#431C2211yescharacteristic
57C11×#431C2211yescharacteristic
58C2×C11×C4⋊C8C2211yescharacteristic
59C11×#333C2211yescharacteristic
60C11×#333C2211yescharacteristic
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—
72C2×C11×#41—21no—
73C2×C11×#41D411yescharacteristic
74C2×C11×Q16—22no—
75C2×C11×SD16—21no—
76C2×C11×SD16—22no—
77C2×C11×SD16—21no—
78C2×C11×D8—21no—
79C2×C11×D8—21no—
80C22×C8×C11—21no—
81C11×C4⋊Q8—21no—
82C11×C4⋊Q8C2311yescharacteristic
83C11×C4⋊Q8C2311yescharacteristic
84C11×C4⋊Q8C2311yescharacteristic
85C11×#127C2311yescharacteristic
86C11×#126—22no—
87C11×#126—22no—
88C11×#126—22no—
89C11×#126—21no—
90C11×#125—22no—
91C11×#125—22no—
92C11×#125—22no—
93C11×#125—21no—
94C11×#125—21no—
95C11×#125—22no—
96C11×#125—21no—
97C11×#125—21no—
98C11×#125D411yescharacteristic
99C11×#124—21no—
100C11×#124D411yescharacteristic
101C11×#123—22no—
102C11×#123—22no—
103C11×#123—22no—
104C11×#123—21no—
105C11×#123—22no—
106C11×C22⋊Q8—21no—
107C11×C22⋊Q8—22no—
108C11×C22⋊Q8—22no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—21no—
112C11×C22⋊Q8D411yescharacteristic
113C11×C22⋊Q8D412yes—
114C11×#121—22no—
115C11×#121—21no—
116C11×#121—21no—
117C11×#121—21no—
118C11×#121D411yescharacteristic
119C4×Q8×C11—21no—
120C4×Q8×C11—21no—
121C4×Q8×C11—21no—
122C4×Q8×C11D411yescharacteristic
123C4×Q8×C11D412yes—
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×C11D411yescharacteristic
136C4×D4×C11C2311yescharacteristic
137C4×D4×C11C2311yescharacteristic
138C11×#117—22no—
139C11×#117—22no—
140C11×#117—21no—
141C11×#117—21no—
142C11×#117—21no—
143C11×#117D411yescharacteristic
144C2×C11×C4⋊C4—22no—
145C2×C11×C4⋊C4—22no—
146C2×C11×C4⋊C4—21no—
147C2×C11×C4⋊C4—21no—
148C2×C11×C4⋊C4—21no—
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#18891C1111yesmaximal, characteristic, direct product factor, Sylow
177C11×#41—22no—
178C11×#41—41no—
179C11×#41—42no—
180C11×#41—42no—
181C11×#41—82no—
182C2×Q8×C11—21no—
183C2×Q8×C11—21no—
184C2×Q8×C11C2×D411yescharacteristic
185C2×Q8×C11C2×D411yescharacteristic
186C2×Q8×C11C2×D412yes—
187C2×D4×C11—22no—
188C2×D4×C11—21no—
189C2×D4×C11—21no—
190C2×D4×C11—21no—
191C2×D4×C11—21no—
192C2×D4×C11—21no—
193C2×D4×C11—41no—
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×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—41no—
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C11×Q16—82no—
208C11×SD16—42no—
209C11×SD16—81no—
210C11×SD16—82no—
211C11×D8—42no—
212C11×D8—81no—
213C2×C8×C11—21no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11—21no—
217C2×C8×C11—21no—
218C2×C8×C11—21no—
219C2×C8×C11—81no—
220C11×C4⋊C4—22no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—22no—
226C11×C4⋊C4—22no—
227C11×C4⋊C4—22no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—22no—
231C11×C4⋊C4—22no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—21no—
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⋊C4C2×D412yes—
242C11×C4⋊C4C2×D411yescharacteristic
243C11×C4⋊C4C2×D411yescharacteristic
244C11×C4⋊C4C2×D411yescharacteristic
245C11×C4⋊C4C2×D411yescharacteristic
246C11×C22⋊C4—22no—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—22no—
249C11×C22⋊C4—22no—
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—21no—
258C11×C22⋊C4—41no—
259C11×C22⋊C4—41no—
260C42×C11—22no—
261C42×C11—21no—
262C42×C11—21no—
263C42×C11—22no—
264C42×C11—21no—
265C42×C11—21no—
266C42×C11C2×D411yescharacteristic
267C42×C11C2×D411yescharacteristic
268C42×C11C2×D411yescharacteristic
269C42×C11C2411yescharacteristic
270#3515C2×C1111yescharacteristic, complemented
271#3247C2×C1111yescharacteristic, complemented
272#3210C2×C1111yescharacteristic, complemented
273#3106C2×C1111yescharacteristic, complemented
274#1636C2×C1111yescharacteristic, complemented
275#1635C2×C1111yescharacteristic, complemented
276#1632C2×C1111yescharacteristic, complemented
277#1632C2×C1111yescharacteristic, complemented
278#1626C2×C1111yescharacteristic, complemented
279#1625C2×C1111yescharacteristic, complemented
280#1622C2×C1111yescharacteristic, complemented
281#1622C2×C1111yescharacteristic, complemented
282#1542C2×C1111yescharacteristic, complemented
283#1482C2×C1111yescharacteristic, complemented
284#1477C2×C1111yescharacteristic, complemented
285C23×C11—21no—
286C23×C11—21no—
287C23×C11—41no—
288C23×C11#12011yescharacteristic
289Q8×C11—21no—
290Q8×C11—21no—
291Q8×C11—21no—
292Q8×C11—21no—
293Q8×C11—42no—
294Q8×C11—42no—
295Q8×C11—41no—
296Q8×C11—41no—
297D4×C11—21no—
298D4×C11—21no—
299D4×C11—21no—
300D4×C11—42no—
301D4×C11—42no—
302D4×C11—44no—
303D4×C11—41no—
304D4×C11—41no—
305D4×C11—41no—
306D4×C11—41no—
307D4×C11—81no—
308D4×C11—82no—
309D4×C11#13512yes—
310C2×C4×C11—21no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—21no—
317C2×C4×C11—21no—
318C2×C4×C11—22no—
319C2×C4×C11—22no—
320C2×C4×C11—21no—
321C2×C4×C11—21no—
322C2×C4×C11—41no—
323C2×C4×C11—42no—
324C2×C4×C11—44no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—41no—
330C2×C4×C11—81no—
331C2×C4×C11—82no—
332C2×C4×C11—82no—
333C2×C4×C11—82no—
334C2×C4×C11#12011yescharacteristic
335C2×C4×C11#12011yescharacteristic
336C2×C4×C11#12011yescharacteristic
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C22×D411yescharacteristic
340C8×C11—41no—
341C8×C11—41no—
342C8×C11—41no—
343C8×C11—41no—
344C8×C11—41no—
345C8×C11—41no—
346#557C22×C1111yescharacteristic
347#554C22×C1111yescharacteristic
348#554C22×C1111yescharacteristic
349#553—21no—
350#552—21no—
351#552—22no—
352#552—21no—
353#547—21no—
354#547C22×C1111yescharacteristic
355#541—21no—
356#539—22no—
357#533C22×C1111yescharacteristic
358#532C22×C1111yescharacteristic
359#529—21no—
360#529C22×C1111yescharacteristic
361C2×#125—21no—
362#520—21no—
363C4×#41C22×C1111yescharacteristic
364#494C22×C1111yescharacteristic
365#492C22×C1111yescharacteristic
366#487C22×C1111yescharacteristic
367#486C22×C1111yescharacteristic
368#482—21no—
369#478—21no—
370#477C22×C1111yescharacteristic
371#477C22×C1111yescharacteristic
372#476C22×C1111yescharacteristic
373#476C22×C1111yescharacteristic
374#466—21no—
375#465—21no—
376#464—22no—
377#463—21no—
378#460C22×C1111yescharacteristic
379#460C22×C1111yescharacteristic
380#459C22×C1111yescharacteristic
381#459C22×C1111yescharacteristic
382#452—22no—
383#449—21no—
384C4×SD16—21no—
385C4×D8—21no—
386#431C22×C1111yescharacteristic
387#431C22×C1111yescharacteristic
388C2×C4⋊C8C22×C1111yescharacteristic
389#333C22×C1111yescharacteristic
390#333C22×C1111yescharacteristic
391#332C22×C1111yescharacteristic
392#332C22×C1111yescharacteristic
393Q8⋊C8C22×C1111yescharacteristic
394Q8⋊C8C22×C1111yescharacteristic
395Q8⋊C8C22×C1111yescharacteristic
396Q8⋊C8C22×C1111yescharacteristic
397D4⋊C8C22×C1111yescharacteristic
398D4⋊C8C22×C1111yescharacteristic
399D4⋊C8C22×C1111yescharacteristic
400D4⋊C8C22×C1111yescharacteristic
401C22×C11—21no—
402C22×C11—22no—
403C22×C11—21no—
404C22×C11—21no—
405C22×C11—41no—
406C22×C11—41no—
407C22×C11—41no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11—81no—
411C22×C11—81no—
412C22×C11—81no—
413C22×C11C2×#12011yescharacteristic
414C4×C11—21no—
415C4×C11—21no—
416C4×C11—21no—
417C4×C11—21no—
418C4×C11—41no—
419C4×C11—41no—
420C4×C11—42no—
421C4×C11—41no—
422C4×C11—41no—
423C4×C11—41no—
424C4×C11—41no—
425C4×C11—42no—
426C4×C11—81no—
427C4×C11C2×#13511yescharacteristic
428C4×C11#57511yescharacteristic
429C4×C11#57711yescharacteristic
430C4×C11#57811yescharacteristic
431C2×#41—21no—
432C2×#41—21no—
433C2×#41D4×C1111yescharacteristic
434C2×Q16—22no—
435C2×SD16—21no—
436C2×SD16—22no—
437C2×SD16—21no—
438C2×D8—21no—
439C2×D8—21no—
440C22×C8—21no—
441C4⋊Q8—21no—
442C4⋊Q8C23×C1111yescharacteristic
443C4⋊Q8C23×C1111yescharacteristic
444C4⋊Q8C23×C1111yescharacteristic
445#127C23×C1111yescharacteristic
446#126—22no—
447#126—22no—
448#126—22no—
449#126—21no—
450#125—22no—
451#125—22no—
452#125—22no—
453#125—21no—
454#125—21no—
455#125—22no—
456#125—21no—
457#125—21no—
458#125D4×C1111yescharacteristic
459#124—21no—
460#124D4×C1111yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—21no—
465#123—22no—
466C22⋊Q8—21no—
467C22⋊Q8—22no—
468C22⋊Q8—22no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8D4×C1111yescharacteristic
473C22⋊Q8D4×C1112yes—
474#121—22no—
475#121—21no—
476#121—21no—
477#121—21no—
478#121D4×C1111yescharacteristic
479C4×Q8—21no—
480C4×Q8—21no—
481C4×Q8—21no—
482C4×Q8D4×C1111yescharacteristic
483C4×Q8D4×C1112yes—
484C4×Q8C23×C1111yescharacteristic
485C4×Q8C23×C1111yescharacteristic
486C4×D4—22no—
487C4×D4—22no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4D4×C1111yescharacteristic
496C4×D4C23×C1111yescharacteristic
497C4×D4C23×C1111yescharacteristic
498#117—22no—
499#117—22no—
500#117—21no—
501#117—21no—
502#117—21no—
503#117D4×C1111yescharacteristic
504C2×C4⋊C4—22no—
505C2×C4⋊C4—22no—
506C2×C4⋊C4—21no—
507C2×C4⋊C4—21no—
508C2×C4⋊C4—21no—
509C2×C42—21no—
510C2×C42C23×C1111yescharacteristic
511#107—21no—
512#107—21no—
513#106—21no—
514#106—21no—
515C4⋊C8—21no—
516C4⋊C8—21no—
517C4⋊C8C23×C1111yescharacteristic
518C4⋊C8C23×C1111yescharacteristic
519C4⋊C8C23×C1111yescharacteristic
520C4⋊C8C23×C1111yescharacteristic
521#103—21no—
522#103—21no—
523#103—22no—
524#102—21no—
525#102—21no—
526#102—21no—
527#102—21no—
528#102—22no—
529#102—21no—
530#102—21no—
531C22⋊C8—21no—
532C22⋊C8—21no—
533C4×C8—21no—
534C4×C8C23×C1111yescharacteristic
535C4×C8C23×C1111yescharacteristic
536C2×C11—41no—
537C2×C11—42no—
538C2×C11—81no—
539C2×C11—161no—
540C2×C11#300211yescharacteristic
541C2×C11#301311yescharacteristic
542C2×C11#302111yescharacteristic
543#41—22no—
544#41—41no—
545#41—42no—
546#41—42no—
547#41—82no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8C2×D4×C1111yescharacteristic
551C2×Q8C2×D4×C1111yescharacteristic
552C2×Q8C2×D4×C1112yes—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—41no—
560C2×D4C2×D4×C1111yescharacteristic
561C2×D4C2×D4×C1111yescharacteristic
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—41no—
570C22×C4C2×D4×C1111yescharacteristic
571C22×C4C2×D4×C1111yescharacteristic
572C22×C4C2×D4×C1111yescharacteristic
573Q16—82no—
574SD16—42no—
575SD16—81no—
576SD16—82no—
577D8—42no—
578D8—81no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—81no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4C2×D4×C1112yes—
608C4⋊C4C2×D4×C1111yescharacteristic
609C4⋊C4C2×D4×C1111yescharacteristic
610C4⋊C4C2×D4×C1111yescharacteristic
611C4⋊C4C2×D4×C1111yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—41no—
625C22⋊C4—41no—
626C42—22no—
627C42—21no—
628C42—21no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42C2×D4×C1111yescharacteristic
633C42C2×D4×C1111yescharacteristic
634C42C2×D4×C1111yescharacteristic
635C42C24×C1111yescharacteristic
636C11#1889111yescharacteristic, direct product factor, Sylow
637C23—21no—
638C23—21no—
639C23—41no—
640C23C11×#12011yescharacteristic
641Q8—21no—
642Q8—21no—
643Q8—21no—
644Q8—21no—
645Q8—42no—
646Q8—42no—
647Q8—41no—
648Q8—41no—
649D4—21no—
650D4—21no—
651D4—21no—
652D4—42no—
653D4—42no—
654D4—44no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—81no—
660D4—82no—
661D4C11×#13512yes—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—81no—
683C2×C4—82no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4C11×#12011yescharacteristic
687C2×C4C11×#12011yescharacteristic
688C2×C4C11×#12011yescharacteristic
689C2×C4C22×D4×C1111yescharacteristic
690C2×C4C22×D4×C1111yescharacteristic
691C2×C4C22×D4×C1111yescharacteristic
692C8—41no—
693C8—41no—
694C8—41no—
695C8—41no—
696C8—41no—
697C8—41no—
698C22—21no—
699C22—22no—
700C22—21no—
701C22—21no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22C2×C11×#12011yescharacteristic
711C4—21no—
712C4—21no—
713C4—21no—
714C4—21no—
715C4—41no—
716C4—41no—
717C4—42no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—41no—
722C4—42no—
723C4—81no—
724C4C2×C11×#13511yescharacteristic
725C4C11×#57511yescharacteristic
726C4C11×#57711yescharacteristic
727C4C11×#57811yescharacteristic
728C2—41no—
729C2—42no—
730C2—81no—
731C2—161no—
732C2C11×#300211yescharacteristic
733C2C11×#301311yescharacteristic
734C2C11×#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×#3515C2semidirect
2. C11×#3247C2semidirect
3. C11×#3210C2semidirect
4. C11×#3106C2semidirect
5. C11×#1636C2semidirect
6. C11×#1635C2semidirect
7. C11×#1632C2semidirect
8. C11×#1632C2semidirect
9. C11×#1626C2semidirect
10. C11×#1625C2semidirect
11. C11×#1622C2semidirect
12. C11×#1622C2semidirect
13. C11×#1542C2semidirect
14. C11×#1482C2semidirect
15. C11×#1477C2semidirect
176. #18891C11direct (N × H)
270. #3515C2×C11semidirect
271. #3247C2×C11semidirect
272. #3210C2×C11semidirect
273. #3106C2×C11semidirect
274. #1636C2×C11semidirect
275. #1635C2×C11semidirect
276. #1632C2×C11semidirect
277. #1632C2×C11semidirect
278. #1626C2×C11semidirect
279. #1625C2×C11semidirect
280. #1622C2×C11semidirect
281. #1622C2×C11semidirect
282. #1542C2×C11semidirect
283. #1482C2×C11semidirect
284. #1477C2×C11semidirect
636. C11#18891direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35152
C11×#32472
C11×#32102
C11×#31062
C11×#16362
C11×#16352
C11×#16322
C11×#16262
C11×#16252
C11×#16222
C11×#15422
C11×#14822
C11×#14772
#1889111