Finite Group Databasebeta

← C11×#18977 #14596170

Subgroups — C11×#18977 #14596170

Order 2816.

866 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3547C211yesmaximal, characteristic
2C11×#3254C211yesmaximal, characteristic, complemented
3C11×#3248C211yesmaximal, characteristic, complemented
4C11×#3231C211yesmaximal, characteristic, complemented
5C11×#1654C211yesmaximal, characteristic, complemented
6C11×#1651C211yesmaximal, characteristic, complemented
7C11×#1649C211yesmaximal, characteristic, complemented
8C11×#1647C211yesmaximal, characteristic, complemented
9C11×#1646C211yesmaximal, characteristic, complemented
10C11×#1646C211yesmaximal, characteristic, complemented
11C11×#1644C211yesmaximal, characteristic, complemented
12C11×#1643C211yesmaximal, characteristic, complemented
13C11×#1550C211yesmaximal, characteristic, complemented
14C11×#1495C211yesmaximal, characteristic, complemented
15C11×#1480C211yesmaximal, characteristic, complemented
16C11×#562—22no—
17C11×#555—21no—
18C11×#555C2211yescharacteristic
19C11×#554C2211yescharacteristic
20C11×#553—21no—
21C11×#552—21no—
22D4×Q8×C11C2211yescharacteristic
23C11×#548—21no—
24C11×#547C2211yescharacteristic
25C11×#544—21no—
26C11×#542—22no—
27C11×#540—21no—
28C11×#537—21no—
29C11×#536—21no—
30C11×#533C2211yescharacteristic
31C11×#533C2211yescharacteristic
32C11×#532C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C11×#500C2211yescharacteristic
35C11×#498C2211yescharacteristic
36C11×#487C2211yescharacteristic
37C11×#487C2211yescharacteristic
38C11×#485—22no—
39C11×#479—21no—
40C11×#479—22no—
41C11×#477—21no—
42C11×#475C2211yescharacteristic
43C11×#474C2211yescharacteristic
44C11×#474C2211yescharacteristic
45C11×#474C2211yescharacteristic
46C11×#468—21no—
47C11×#468—21no—
48C11×#467—21no—
49C11×#465—21no—
50C11×#464—21no—
51C11×#462C2211yescharacteristic
52C11×#461C2211yescharacteristic
53C11×#461C2211yescharacteristic
54C11×#461C2211yescharacteristic
55C11×#460—21no—
56C11×#431C2211yescharacteristic
57C11×#423C2211yescharacteristic
58C2×C11×C4⋊C8C2211yescharacteristic
59C11×#333C2211yescharacteristic
60C11×#333C2211yescharacteristic
61C11×#332C2211yescharacteristic
62C11×#332C2211yescharacteristic
63C11×Q8⋊C8C2211yescharacteristic
64C11×Q8⋊C8C2211yescharacteristic
65C11×D4⋊C8C2211yescharacteristic
66C11×D4⋊C8C2211yescharacteristic
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic
70C11×D4⋊C8C2211yescharacteristic
71C2×C11×#41—21no—
72C2×C11×#41—21no—
73C22×Q8×C11—21no—
74C2×C11×Q16—21no—
75C2×C11×SD16—21no—
76C2×C11×SD16—21no—
77C2×C11×SD16—21no—
78C2×C11×M16—21no—
79C22×C8×C11—21no—
80C11×C4⋊Q8—22no—
81C11×C4⋊Q8—21no—
82C11×C4⋊Q8D411yescharacteristic
83C11×C4⋊Q8C2311yescharacteristic
84C11×C4⋊Q8C2311yescharacteristic
85C11×C4⋊Q8C2311yescharacteristic
86C11×C4⋊Q8C2311yescharacteristic
87C11×#127D411yescharacteristic
88C11×#126—22no—
89C11×#126—21no—
90C11×#125—22no—
91C11×#125—21no—
92C11×#125—21no—
93C11×#125—21no—
94C11×#125D411yescharacteristic
95C11×#124—22no—
96C11×#124—22no—
97C11×#124—22no—
98C11×#124—21no—
99C11×#124D411yescharacteristic
100C11×#123—22no—
101C11×#123—22no—
102C11×#123—22no—
103C11×#123—21no—
104C11×#123—22no—
105C11×C22⋊Q8—22no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—22no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—21no—
112C11×C22⋊Q8—22no—
113C11×C22⋊Q8—21no—
114C11×C22⋊Q8—21no—
115C11×C22⋊Q8D411yescharacteristic
116C11×C22⋊Q8D412yes—
117C11×#121—22no—
118C11×#121—22no—
119C11×#121—22no—
120C11×#121—22no—
121C11×#121—21no—
122C11×#121—21no—
123C11×#121—21no—
124C11×#121—21no—
125C11×#121D411yescharacteristic
126C11×#121D411yescharacteristic
127C11×#121D411yescharacteristic
128C4×Q8×C11—21no—
129C4×Q8×C11—21no—
130C4×Q8×C11—21no—
131C4×Q8×C11D412yes—
132C4×Q8×C11C2311yescharacteristic
133C4×D4×C11—22no—
134C4×D4×C11—21no—
135C4×D4×C11—21no—
136C4×D4×C11—21no—
137C4×D4×C11—21no—
138C4×D4×C11C2311yescharacteristic
139C4×D4×C11C2311yescharacteristic
140C4×D4×C11C2311yescharacteristic
141C11×#117—22no—
142C11×#117—21no—
143C11×#117—21no—
144C11×#117—21no—
145C11×#117—21no—
146C11×#117—21no—
147C2×C11×C4⋊C4—21no—
148C2×C11×C4⋊C4—21no—
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—22no—
165C11×#103—22no—
166C11×#103—21no—
167C11×#103—21no—
168C11×#103—21no—
169C11×#103—21no—
170C11×#102—21no—
171C11×#102—21no—
172C11×#102—21no—
173C11×C22⋊C8—21no—
174C4×C8×C11C2311yescharacteristic
175C4×C8×C11C2311yescharacteristic
176#18977C1111yesmaximal, characteristic, direct product factor, Sylow
177C11×#41—81no—
178C11×#41—81no—
179C11×#41—81no—
180C11×#41—81no—
181C2×Q8×C11—22no—
182C2×Q8×C11—21no—
183C2×Q8×C11—21no—
184C2×Q8×C11—21no—
185C2×Q8×C11—21no—
186C2×Q8×C11—81no—
187C2×Q8×C11—81no—
188C2×Q8×C11C2×D411yescharacteristic
189C2×Q8×C11C2×D412yes—
190C2×D4×C11—22no—
191C2×D4×C11—22no—
192C2×D4×C11—21no—
193C2×D4×C11—21no—
194C2×D4×C11—21no—
195C2×D4×C11—21no—
196C2×D4×C11—21no—
197C2×D4×C11C2×D411yescharacteristic
198C2×D4×C11C2×D411yescharacteristic
199C2×D4×C11C2×D411yescharacteristic
200C22×C4×C11—22no—
201C22×C4×C11—22no—
202C22×C4×C11—22no—
203C22×C4×C11—21no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C11×Q16—81no—
210C11×SD16—81no—
211C11×SD16—81no—
212C11×SD16—81no—
213C11×M16—81no—
214C2×C8×C11—21no—
215C2×C8×C11—21no—
216C2×C8×C11—21no—
217C2×C8×C11—21no—
218C2×C8×C11—21no—
219C2×C8×C11—21no—
220C2×C8×C11—81no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—22no—
230C11×C4⋊C4—22no—
231C11×C4⋊C4—21no—
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—41no—
240C11×C4⋊C4—41no—
241C11×C4⋊C4C2×D411yescharacteristic
242C11×C4⋊C4C2×D411yescharacteristic
243C11×C4⋊C4C2×D411yescharacteristic
244C11×C4⋊C4C2×D411yescharacteristic
245C11×C4⋊C4C2×D412yes—
246C11×C22⋊C4—22no—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—22no—
249C11×C22⋊C4—22no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—22no—
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—21no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—41no—
262C42×C11—22no—
263C42×C11—22no—
264C42×C11—21no—
265C42×C11—41no—
266C42×C11C2×D411yescharacteristic
267C42×C11C2×D411yescharacteristic
268C42×C11C2×D411yescharacteristic
269C42×C11C2411yescharacteristic
270#3547C2×C1111yescharacteristic
271#3254C2×C1111yescharacteristic, complemented
272#3248C2×C1111yescharacteristic, complemented
273#3231C2×C1111yescharacteristic, complemented
274#1654C2×C1111yescharacteristic, complemented
275#1651C2×C1111yescharacteristic, complemented
276#1649C2×C1111yescharacteristic, complemented
277#1647C2×C1111yescharacteristic, complemented
278#1646C2×C1111yescharacteristic, complemented
279#1646C2×C1111yescharacteristic, complemented
280#1644C2×C1111yescharacteristic, complemented
281#1643C2×C1111yescharacteristic, complemented
282#1550C2×C1111yescharacteristic, complemented
283#1495C2×C1111yescharacteristic, complemented
284#1480C2×C1111yescharacteristic, complemented
285C23×C11—21no—
286C23×C11—21no—
287C23×C11—21no—
288C23×C11#12011yescharacteristic
289Q8×C11—21no—
290Q8×C11—21no—
291Q8×C11—42no—
292Q8×C11—41no—
293Q8×C11—41no—
294Q8×C11—41no—
295Q8×C11—41no—
296Q8×C11—41no—
297Q8×C11—41no—
298Q8×C11—81no—
299Q8×C11—82no—
300D4×C11—21no—
301D4×C11—21no—
302D4×C11—21no—
303D4×C11—21no—
304D4×C11—21no—
305D4×C11—21no—
306D4×C11—81no—
307D4×C11—81no—
308D4×C11—81no—
309D4×C11—81no—
310D4×C11—81no—
311D4×C11—82no—
312D4×C11—82no—
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—21no—
320C2×C4×C11—21no—
321C2×C4×C11—21no—
322C2×C4×C11—22no—
323C2×C4×C11—21no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—41no—
333C2×C4×C11—82no—
334C2×C4×C11—82no—
335C2×C4×C11—82no—
336C2×C4×C11#12011yescharacteristic
337C2×C4×C11#12011yescharacteristic
338C2×C4×C11#12011yescharacteristic
339C2×C4×C11C22×D411yescharacteristic
340C2×C4×C11C22×D411yescharacteristic
341C2×C4×C11C22×D411yescharacteristic
342C8×C11—41no—
343C8×C11—41no—
344C8×C11—41no—
345C8×C11—41no—
346C8×C11—41no—
347C8×C11—41no—
348#562—22no—
349#555—21no—
350#555C22×C1111yescharacteristic
351#554C22×C1111yescharacteristic
352#553—21no—
353#552—21no—
354D4×Q8C22×C1111yescharacteristic
355#548—21no—
356#547C22×C1111yescharacteristic
357#544—21no—
358#542—22no—
359#540—21no—
360#537—21no—
361#536—21no—
362#533C22×C1111yescharacteristic
363#533C22×C1111yescharacteristic
364#532C22×C1111yescharacteristic
365#529C22×C1111yescharacteristic
366#500C22×C1111yescharacteristic
367#498C22×C1111yescharacteristic
368#487C22×C1111yescharacteristic
369#487C22×C1111yescharacteristic
370#485—22no—
371#479—21no—
372#479—22no—
373#477—21no—
374#475C22×C1111yescharacteristic
375#474C22×C1111yescharacteristic
376#474C22×C1111yescharacteristic
377#474C22×C1111yescharacteristic
378#468—21no—
379#468—21no—
380#467—21no—
381#465—21no—
382#464—21no—
383#462C22×C1111yescharacteristic
384#461C22×C1111yescharacteristic
385#461C22×C1111yescharacteristic
386#461C22×C1111yescharacteristic
387#460—21no—
388#431C22×C1111yescharacteristic
389#423C22×C1111yescharacteristic
390C2×C4⋊C8C22×C1111yescharacteristic
391#333C22×C1111yescharacteristic
392#333C22×C1111yescharacteristic
393#332C22×C1111yescharacteristic
394#332C22×C1111yescharacteristic
395Q8⋊C8C22×C1111yescharacteristic
396Q8⋊C8C22×C1111yescharacteristic
397D4⋊C8C22×C1111yescharacteristic
398D4⋊C8C22×C1111yescharacteristic
399D4⋊C8C22×C1111yescharacteristic
400D4⋊C8C22×C1111yescharacteristic
401D4⋊C8C22×C1111yescharacteristic
402D4⋊C8C22×C1111yescharacteristic
403C22×C11—21no—
404C22×C11—21no—
405C22×C11—21no—
406C22×C11—41no—
407C22×C11—41no—
408C22×C11—41no—
409C22×C11—41no—
410C22×C11—41no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—41no—
414C22×C11—41no—
415C22×C11C2×#12011yescharacteristic
416C4×C11—21no—
417C4×C11—21no—
418C4×C11—21no—
419C4×C11—21no—
420C4×C11—41no—
421C4×C11—41no—
422C4×C11—42no—
423C4×C11—41no—
424C4×C11—41no—
425C4×C11—41no—
426C4×C11—42no—
427C4×C11—81no—
428C4×C11—81no—
429C4×C11#57611yescharacteristic
430C4×C11#57711yescharacteristic
431C4×C11#57711yescharacteristic
432C4×C11#57811yescharacteristic
433C2×#41—21no—
434C2×#41—21no—
435C22×Q8—21no—
436C2×Q16—21no—
437C2×SD16—21no—
438C2×SD16—21no—
439C2×SD16—21no—
440C2×M16—21no—
441C22×C8—21no—
442C4⋊Q8—22no—
443C4⋊Q8—21no—
444C4⋊Q8D4×C1111yescharacteristic
445C4⋊Q8C23×C1111yescharacteristic
446C4⋊Q8C23×C1111yescharacteristic
447C4⋊Q8C23×C1111yescharacteristic
448C4⋊Q8C23×C1111yescharacteristic
449#127D4×C1111yescharacteristic
450#126—22no—
451#126—21no—
452#125—22no—
453#125—21no—
454#125—21no—
455#125—21no—
456#125D4×C1111yescharacteristic
457#124—22no—
458#124—22no—
459#124—22no—
460#124—21no—
461#124D4×C1111yescharacteristic
462#123—22no—
463#123—22no—
464#123—22no—
465#123—21no—
466#123—22no—
467C22⋊Q8—22no—
468C22⋊Q8—22no—
469C22⋊Q8—21no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—22no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8D4×C1111yescharacteristic
478C22⋊Q8D4×C1112yes—
479#121—22no—
480#121—22no—
481#121—22no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121D4×C1111yescharacteristic
488#121D4×C1111yescharacteristic
489#121D4×C1111yescharacteristic
490C4×Q8—21no—
491C4×Q8—21no—
492C4×Q8—21no—
493C4×Q8D4×C1112yes—
494C4×Q8C23×C1111yescharacteristic
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4C23×C1111yescharacteristic
501C4×D4C23×C1111yescharacteristic
502C4×D4C23×C1111yescharacteristic
503#117—22no—
504#117—21no—
505#117—21no—
506#117—21no—
507#117—21no—
508#117—21no—
509C2×C4⋊C4—21no—
510C2×C4⋊C4—21no—
511C2×C42C23×C1111yescharacteristic
512#107—21no—
513#107—21no—
514#107—21no—
515#107—22no—
516#106—21no—
517#106—22no—
518C4⋊C8—21no—
519C4⋊C8—21no—
520C4⋊C8—21no—
521C4⋊C8C23×C1111yescharacteristic
522C4⋊C8C23×C1111yescharacteristic
523C4⋊C8C23×C1111yescharacteristic
524C4⋊C8C23×C1111yescharacteristic
525#103—21no—
526#103—22no—
527#103—22no—
528#103—21no—
529#103—21no—
530#103—21no—
531#103—21no—
532#102—21no—
533#102—21no—
534#102—21no—
535C22⋊C8—21no—
536C4×C8C23×C1111yescharacteristic
537C4×C8C23×C1111yescharacteristic
538C2×C11—41no—
539C2×C11—81no—
540C2×C11—81no—
541C2×C11—81no—
542C2×C11#301211yescharacteristic
543C2×C11#301311yescharacteristic
544C2×C11#302211yescharacteristic
545#41—81no—
546#41—81no—
547#41—81no—
548#41—81no—
549C2×Q8—22no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—21no—
553C2×Q8—21no—
554C2×Q8—81no—
555C2×Q8—81no—
556C2×Q8C2×D4×C1111yescharacteristic
557C2×Q8C2×D4×C1112yes—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—21no—
563C2×D4—21no—
564C2×D4—21no—
565C2×D4C2×D4×C1111yescharacteristic
566C2×D4C2×D4×C1111yescharacteristic
567C2×D4C2×D4×C1111yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4C2×D4×C1111yescharacteristic
575C22×C4C2×D4×C1111yescharacteristic
576C22×C4C2×D4×C1111yescharacteristic
577Q16—81no—
578SD16—81no—
579SD16—81no—
580SD16—81no—
581M16—81no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—21no—
588C2×C8—81no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—22no—
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⋊C4—41no—
608C4⋊C4—41no—
609C4⋊C4C2×D4×C1111yescharacteristic
610C4⋊C4C2×D4×C1111yescharacteristic
611C4⋊C4C2×D4×C1111yescharacteristic
612C4⋊C4C2×D4×C1111yescharacteristic
613C4⋊C4C2×D4×C1112yes—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—41no—
630C42—22no—
631C42—22no—
632C42—21no—
633C42—41no—
634C42C2×D4×C1111yescharacteristic
635C42C2×D4×C1111yescharacteristic
636C42C2×D4×C1111yescharacteristic
637C42C24×C1111yescharacteristic
638C11#1897711yescharacteristic, direct product factor, Sylow
639C23—21no—
640C23—21no—
641C23—21no—
642C23C11×#12011yescharacteristic
643Q8—21no—
644Q8—21no—
645Q8—42no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—81no—
653Q8—82no—
654D4—21no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—21no—
659D4—21no—
660D4—81no—
661D4—81no—
662D4—81no—
663D4—81no—
664D4—81no—
665D4—82no—
666D4—82no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—22no—
677C2×C4—21no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—82no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4C11×#12011yescharacteristic
691C2×C4C11×#12011yescharacteristic
692C2×C4C11×#12011yescharacteristic
693C2×C4C22×D4×C1111yescharacteristic
694C2×C4C22×D4×C1111yescharacteristic
695C2×C4C22×D4×C1111yescharacteristic
696C8—41no—
697C8—41no—
698C8—41no—
699C8—41no—
700C8—41no—
701C8—41no—
702C22—21no—
703C22—21no—
704C22—21no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22C2×C11×#12011yescharacteristic
715C4—21no—
716C4—21no—
717C4—21no—
718C4—21no—
719C4—41no—
720C4—41no—
721C4—42no—
722C4—41no—
723C4—41no—
724C4—41no—
725C4—42no—
726C4—81no—
727C4—81no—
728C4C11×#57611yescharacteristic
729C4C11×#57711yescharacteristic
730C4C11×#57711yescharacteristic
731C4C11×#57811yescharacteristic
732C2—41no—
733C2—81no—
734C2—81no—
735C2—81no—
736C2C11×#301211yescharacteristic
737C2C11×#301311yescharacteristic
738C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3547C2
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×#3231C2semidirect
5. C11×#1654C2semidirect
6. C11×#1651C2semidirect
7. C11×#1649C2semidirect
8. C11×#1647C2semidirect
9. C11×#1646C2semidirect
10. C11×#1646C2semidirect
11. C11×#1644C2semidirect
12. C11×#1643C2semidirect
13. C11×#1550C2semidirect
14. C11×#1495C2semidirect
15. C11×#1480C2semidirect
176. #18977C11direct (N × H)
271. #3254C2×C11semidirect
272. #3248C2×C11semidirect
273. #3231C2×C11semidirect
274. #1654C2×C11semidirect
275. #1651C2×C11semidirect
276. #1649C2×C11semidirect
277. #1647C2×C11semidirect
278. #1646C2×C11semidirect
279. #1646C2×C11semidirect
280. #1644C2×C11semidirect
281. #1643C2×C11semidirect
282. #1550C2×C11semidirect
283. #1495C2×C11semidirect
284. #1480C2×C11semidirect
638. C11#18977direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35472
C11×#32542
C11×#32482
C11×#32312
C11×#16542
C11×#16512
C11×#16492
C11×#16472
C11×#16462
C11×#16442
C11×#16432
C11×#15502
C11×#14952
C11×#14802
#1897711