Finite Group Databasebeta

← C11×#18281 #14595474

Subgroups — C11×#18281 #14595474

Order 2816.

946 conjugacy classes of subgroups.

The subgroup lattice has 912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3560C211yesmaximal, characteristic
2C11×#3117C211yesmaximal, characteristic, complemented
3C11×#3103C211yesmaximal, characteristic, complemented
4C11×#2604C211yesmaximal, characteristic, complemented
5C11×#1618C211yesmaximal, characteristic, complemented
6C11×#1616C211yesmaximal, characteristic, complemented
7C11×#1615C211yesmaximal, characteristic, complemented
8C11×#1613C211yesmaximal, characteristic, complemented
9C11×#1606C211yesmaximal, characteristic, complemented
10C11×#1604C211yesmaximal, characteristic, complemented
11C11×#1603C211yesmaximal, characteristic, complemented
12C11×#1601C211yesmaximal, characteristic, complemented
13C11×#1505C211yesmaximal, characteristic, complemented
14C11×#1500C211yesmaximal, characteristic, complemented
15C11×#1473C211yesmaximal, characteristic, complemented
16C11×#563—21no—
17C11×#560—21no—
18C11×#553—21no—
19C11×#553—21no—
20C11×#551—21no—
21C11×#547—21no—
22C11×#546—21no—
23C11×#546—21no—
24C11×#542—21no—
25C11×#539—21no—
26C11×#539C2211yescharacteristic
27C11×#538—21no—
28C11×#538—21no—
29C11×#538C2211yescharacteristic
30C11×#537C2211yescharacteristic
31C11×#534C2211yescharacteristic
32C11×#532C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C4×Q8×C11C2211yescharacteristic, complemented
36C11×#484C2211yescharacteristic, complemented
37C11×#481C2211yescharacteristic
38C11×#481C2211yescharacteristic
39C11×#481C2211yescharacteristic, complemented
40C11×#479—21no—
41C11×#475—21no—
42C11×#464—21no—
43C11×#460—21no—
44C11×#451C2211yescharacteristic, complemented
45C11×#448C2211yescharacteristic
46C11×#448C2211yescharacteristic
47C11×#448C2211yescharacteristic, complemented
48C11×#441—21no—
49C11×#440—21no—
50C4×C11×SD16—21no—
51C4×C11×SD16—21no—
52C11×#432C2211yescharacteristic, complemented
53C11×#431C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#399C2211yescharacteristic
56C11×#395C2211yescharacteristic, complemented
57C11×#393C2211yescharacteristic
58C11×#389—21no—
59C11×#388—21no—
60C11×#388—21no—
61C11×#387—21no—
62C11×#376C2211yescharacteristic, complemented
63C11×#328C2211yescharacteristic, complemented
64C11×#328C2211yescharacteristic, complemented
65C11×#327C2211yescharacteristic
66C11×#327C2211yescharacteristic
67C11×#327C2211yescharacteristic
68C11×#327C2211yescharacteristic
69C11×#327C2211yescharacteristic, complemented
70C11×#327C2211yescharacteristic, complemented
71C11×#324C2211yescharacteristic, complemented
72C11×#324C2211yescharacteristic, complemented
73C11×#323C2211yescharacteristic
74C11×#323C2211yescharacteristic
75C2×C11×#41—21no—
76C2×C11×#41—21no—
77C22×Q8×C11C2311yescharacteristic
78C22×D4×C11—21no—
79C2×C11×Q16—21no—
80C2×C11×SD16—21no—
81C2×C11×SD16—21no—
82C2×C11×SD16—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8D411yescharacteristic
85C11×#127D411yescharacteristic
86C11×#126—21no—
87C11×#126—21no—
88C11×#126—21no—
89C11×#126—21no—
90C11×#126—21no—
91C11×#126—21no—
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#125—21no—
96C11×#125—21no—
97C11×#125D411yescharacteristic
98C11×#124—21no—
99C11×#124—21no—
100C11×#124—21no—
101C11×#124—21no—
102C11×#124D411yescharacteristic
103C11×#123—21no—
104C11×#123—21no—
105C11×#123—21no—
106C11×#123—21no—
107C11×#123—21no—
108C11×#123—21no—
109C11×#123—21no—
110C11×#123—21no—
111C11×#123—21no—
112C11×#123—21no—
113C11×#123—21no—
114C11×#123—21no—
115C11×C22⋊Q8—21no—
116C11×C22⋊Q8—21no—
117C11×C22⋊Q8—21no—
118C11×C22⋊Q8—21no—
119C11×C22⋊Q8—21no—
120C11×C22⋊Q8—21no—
121C11×C22⋊Q8—21no—
122C11×C22⋊Q8C2311yescharacteristic
123C11×#121—21no—
124C11×#121—21no—
125C11×#121—21no—
126C11×#121—21no—
127C11×#121—21no—
128C11×#121—21no—
129C11×#121—21no—
130C11×#121—21no—
131C11×#121—21no—
132C11×#121—21no—
133C11×#121—21no—
134C11×#121—21no—
135C11×#121C2311yescharacteristic
136C11×#121C2311yescharacteristic
137C11×#121C2311yescharacteristic
138C11×#120—21no—
139C11×#120—21no—
140C11×#120—21no—
141C11×#120—21no—
142C11×#120—21no—
143C4×Q8×C11—21no—
144C4×Q8×C11—21no—
145C4×Q8×C11—21no—
146C4×Q8×C11—21no—
147C4×Q8×C11D411yescharacteristic
148C4×D4×C11—21no—
149C4×D4×C11—21no—
150C4×D4×C11—21no—
151C4×D4×C11—21no—
152C4×D4×C11—21no—
153C4×D4×C11—21no—
154C4×D4×C11—21no—
155C4×D4×C11—21no—
156C4×D4×C11D411yescharacteristic
157C4×D4×C11D411yescharacteristic
158C4×D4×C11D411yescharacteristic
159C11×#117—21no—
160C11×#117—21no—
161C2×C11×C4⋊C4—21no—
162C2×C11×C4⋊C4—21no—
163C2×C11×C4⋊C4—21no—
164C2×C11×C4⋊C4—21no—
165C2×C11×C4⋊C4D411yescharacteristic
166C2×C11×C4⋊C4D411yescharacteristic
167C2×C11×C4⋊C4C2311yescharacteristic
168C2×C11×C4⋊C4C2311yescharacteristic
169C2×C11×C22⋊C4—21no—
170C2×C11×C22⋊C4—21no—
171C2×C11×C22⋊C4—21no—
172C2×C11×C22⋊C4—21no—
173C2×C11×C22⋊C4D411yescharacteristic
174C2×C11×C22⋊C4D411yescharacteristic
175C2×C11×C22⋊C4C2311yescharacteristic
176C2×C42×C11—21no—
177C2×C42×C11—21no—
178C2×C42×C11C2311yescharacteristic
179C11×#107—21no—
180C11×#106—21no—
181C11×#106—21no—
182C11×#106—21no—
183C11×C4⋊C8—21no—
184C11×C4⋊C8—21no—
185C11×#103—21no—
186C11×#103—21no—
187C11×#103—21no—
188C11×#103—21no—
189C11×#103—21no—
190C11×#102—21no—
191C11×#102—21no—
192C11×#102—21no—
193C11×C22⋊C8C2311yescharacteristic
194C11×C22⋊C8C2311yescharacteristic
195C11×C22⋊C8C2311yescharacteristic
196C11×C22⋊C8C2311yescharacteristic
197C11×#97—21no—
198C4×C8×C11—21no—
199C11×#95—21no—
200C11×#95—21no—
201C11×#95—21no—
202C11×#95—21no—
203C11×#95—21no—
204C11×#95C2311yescharacteristic
205C11×#95C2311yescharacteristic
206#18281C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C24×C11C2×D411yescharacteristic
209C11×#41—81no—
210C11×#41—81no—
211C11×#41—81no—
212C11×#41—81no—
213C2×Q8×C11—21no—
214C2×Q8×C11—21no—
215C2×Q8×C11—21no—
216C2×Q8×C11—21no—
217C2×Q8×C11—42no—
218C2×Q8×C11C2×D411yescharacteristic
219C2×D4×C11—21no—
220C2×D4×C11—21no—
221C2×D4×C11—21no—
222C2×D4×C11—21no—
223C2×D4×C11—21no—
224C2×D4×C11—21no—
225C2×D4×C11—21no—
226C2×D4×C11—21no—
227C2×D4×C11—21no—
228C2×D4×C11—21no—
229C2×D4×C11—21no—
230C2×D4×C11—21no—
231C2×D4×C11—81no—
232C2×D4×C11—81no—
233C2×D4×C11C2×D411yescharacteristic
234C2×D4×C11C2×D411yescharacteristic
235C2×D4×C11C2×D411yescharacteristic
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—21no—
245C22×C4×C11—21no—
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11C2×D411yescharacteristic
249C22×C4×C11C2×D411yescharacteristic
250C22×C4×C11C2×D411yescharacteristic
251C22×C4×C11C2×D411yescharacteristic
252C22×C4×C11C2×D411yescharacteristic
253C22×C4×C11C2411yescharacteristic
254C11×Q16—42no—
255C11×SD16—42no—
256C11×SD16—42no—
257C11×SD16—42no—
258C2×C8×C11—21no—
259C2×C8×C11—21no—
260C2×C8×C11—21no—
261C2×C8×C11—21no—
262C11×C4⋊C4—21no—
263C11×C4⋊C4—21no—
264C11×C4⋊C4—21no—
265C11×C4⋊C4—21no—
266C11×C4⋊C4—21no—
267C11×C4⋊C4—21no—
268C11×C4⋊C4—21no—
269C11×C4⋊C4—21no—
270C11×C4⋊C4—21no—
271C11×C4⋊C4—21no—
272C11×C4⋊C4—21no—
273C11×C4⋊C4—21no—
274C11×C4⋊C4—21no—
275C11×C4⋊C4—21no—
276C11×C4⋊C4—21no—
277C11×C4⋊C4—21no—
278C11×C4⋊C4—21no—
279C11×C4⋊C4—21no—
280C11×C4⋊C4—21no—
281C11×C4⋊C4—42no—
282C11×C4⋊C4—42no—
283C11×C4⋊C4—41no—
284C11×C4⋊C4—41no—
285C11×C4⋊C4C2×D411yescharacteristic
286C11×C4⋊C4C2×D411yescharacteristic
287C11×C4⋊C4C2×D411yescharacteristic
288C11×C4⋊C4C2×D411yescharacteristic
289C11×C22⋊C4—21no—
290C11×C22⋊C4—21no—
291C11×C22⋊C4—21no—
292C11×C22⋊C4—21no—
293C11×C22⋊C4—21no—
294C11×C22⋊C4—21no—
295C11×C22⋊C4—21no—
296C11×C22⋊C4—21no—
297C11×C22⋊C4—21no—
298C11×C22⋊C4—21no—
299C11×C22⋊C4—21no—
300C11×C22⋊C4—21no—
301C11×C22⋊C4—21no—
302C11×C22⋊C4—21no—
303C11×C22⋊C4—21no—
304C11×C22⋊C4—21no—
305C11×C22⋊C4—21no—
306C11×C22⋊C4—21no—
307C11×C22⋊C4—21no—
308C11×C22⋊C4—21no—
309C11×C22⋊C4—21no—
310C11×C22⋊C4—21no—
311C11×C22⋊C4—21no—
312C11×C22⋊C4—21no—
313C11×C22⋊C4—21no—
314C11×C22⋊C4—42no—
315C11×C22⋊C4—42no—
316C42×C11—21no—
317C42×C11—21no—
318C42×C11—21no—
319C42×C11—42no—
320C42×C11—41no—
321C42×C11—41no—
322C42×C11C2×D411yescharacteristic
323C42×C11C2×D411yescharacteristic
324C42×C11C2×D411yescharacteristic
325C42×C11C2×D411yescharacteristic
326#3560C2×C1111yescharacteristic
327#3117C2×C1111yescharacteristic, complemented
328#3103C2×C1111yescharacteristic, complemented
329#2604C2×C1111yescharacteristic, complemented
330#1618C2×C1111yescharacteristic, complemented
331#1616C2×C1111yescharacteristic, complemented
332#1615C2×C1111yescharacteristic, complemented
333#1613C2×C1111yescharacteristic, complemented
334#1606C2×C1111yescharacteristic, complemented
335#1604C2×C1111yescharacteristic, complemented
336#1603C2×C1111yescharacteristic, complemented
337#1601C2×C1111yescharacteristic, complemented
338#1505C2×C1111yescharacteristic, complemented
339#1500C2×C1111yescharacteristic, complemented
340#1473C2×C1111yescharacteristic, complemented
341C23×C11—21no—
342C23×C11—21no—
343C23×C11—21no—
344C23×C11—21no—
345C23×C11—21no—
346C23×C11—21no—
347C23×C11—41no—
348C23×C11—41no—
349C23×C11—81no—
350C23×C11—81no—
351C23×C11—81no—
352C23×C11C22×D411yescharacteristic
353Q8×C11—22no—
354Q8×C11—22no—
355Q8×C11—41no—
356Q8×C11—41no—
357Q8×C11—41no—
358Q8×C11—81no—
359Q8×C11—81no—
360D4×C11—41no—
361D4×C11—41no—
362D4×C11—41no—
363D4×C11—41no—
364D4×C11—41no—
365D4×C11—41no—
366D4×C11—41no—
367D4×C11—41no—
368D4×C11—41no—
369D4×C11—81no—
370D4×C11—81no—
371D4×C11—81no—
372D4×C11—81no—
373D4×C11—81no—
374D4×C11—81no—
375D4×C11—81no—
376D4×C11—81no—
377D4×C11—81no—
378C2×C4×C11—21no—
379C2×C4×C11—21no—
380C2×C4×C11—22no—
381C2×C4×C11—22no—
382C2×C4×C11—21no—
383C2×C4×C11—21no—
384C2×C4×C11—21no—
385C2×C4×C11—21no—
386C2×C4×C11—21no—
387C2×C4×C11—21no—
388C2×C4×C11—21no—
389C2×C4×C11—21no—
390C2×C4×C11—21no—
391C2×C4×C11—21no—
392C2×C4×C11—41no—
393C2×C4×C11—41no—
394C2×C4×C11—41no—
395C2×C4×C11—41no—
396C2×C4×C11—41no—
397C2×C4×C11—41no—
398C2×C4×C11—41no—
399C2×C4×C11—41no—
400C2×C4×C11—41no—
401C2×C4×C11—41no—
402C2×C4×C11—41no—
403C2×C4×C11—41no—
404C2×C4×C11—41no—
405C2×C4×C11—41no—
406C2×C4×C11—81no—
407C2×C4×C11—81no—
408C2×C4×C11—81no—
409C2×C4×C11—81no—
410C2×C4×C11—81no—
411C2×C4×C11—81no—
412C2×C4×C11—81no—
413C2×C4×C11—81no—
414C2×C4×C11#12011yescharacteristic
415C2×C4×C11#12011yescharacteristic
416C2×C4×C11#12011yescharacteristic
417C2×C4×C11#12011yescharacteristic
418C2×C4×C11C22×D411yescharacteristic
419C2×C4×C11C22×D411yescharacteristic
420C8×C11—41no—
421C8×C11—41no—
422C8×C11—41no—
423C8×C11—41no—
424#563—21no—
425#560—21no—
426#553—21no—
427#553—21no—
428#551—21no—
429#547—21no—
430#546—21no—
431#546—21no—
432#542—21no—
433#539—21no—
434#539C22×C1111yescharacteristic
435#538—21no—
436#538—21no—
437#538C22×C1111yescharacteristic
438#537C22×C1111yescharacteristic
439#534C22×C1111yescharacteristic
440#532C22×C1111yescharacteristic
441#529C22×C1111yescharacteristic
442C2×#126C22×C1111yescharacteristic
443C2×C4×Q8C22×C1111yescharacteristic, complemented
444#484C22×C1111yescharacteristic, complemented
445#481C22×C1111yescharacteristic
446#481C22×C1111yescharacteristic
447#481C22×C1111yescharacteristic, complemented
448#479—21no—
449#475—21no—
450#464—21no—
451#460—21no—
452#451C22×C1111yescharacteristic, complemented
453#448C22×C1111yescharacteristic
454#448C22×C1111yescharacteristic
455#448C22×C1111yescharacteristic, complemented
456#441—21no—
457#440—21no—
458C4×SD16—21no—
459C4×SD16—21no—
460#432C22×C1111yescharacteristic, complemented
461#431C22×C1111yescharacteristic, complemented
462#400C22×C1111yescharacteristic, complemented
463#399C22×C1111yescharacteristic
464#395C22×C1111yescharacteristic, complemented
465#393C22×C1111yescharacteristic
466#389—21no—
467#388—21no—
468#388—21no—
469#387—21no—
470#376C22×C1111yescharacteristic, complemented
471#328C22×C1111yescharacteristic, complemented
472#328C22×C1111yescharacteristic, complemented
473#327C22×C1111yescharacteristic
474#327C22×C1111yescharacteristic
475#327C22×C1111yescharacteristic
476#327C22×C1111yescharacteristic
477#327C22×C1111yescharacteristic, complemented
478#327C22×C1111yescharacteristic, complemented
479#324C22×C1111yescharacteristic, complemented
480#324C22×C1111yescharacteristic, complemented
481#323C22×C1111yescharacteristic
482#323C22×C1111yescharacteristic
483C22×C11—21no—
484C22×C11—21no—
485C22×C11—41no—
486C22×C11—41no—
487C22×C11—41no—
488C22×C11—41no—
489C22×C11—41no—
490C22×C11—41no—
491C22×C11—41no—
492C22×C11—41no—
493C22×C11—41no—
494C22×C11—41no—
495C22×C11—41no—
496C22×C11—41no—
497C22×C11—81no—
498C22×C11—81no—
499C22×C11—162no—
500C22×C11C2×#12011yescharacteristic
501C22×C11#57711yescharacteristic
502C22×C11#57711yescharacteristic
503C4×C11—21no—
504C4×C11—21no—
505C4×C11—21no—
506C4×C11—21no—
507C4×C11—21no—
508C4×C11—21no—
509C4×C11—42no—
510C4×C11—41no—
511C4×C11—41no—
512C4×C11—41no—
513C4×C11—41no—
514C4×C11—41no—
515C4×C11—41no—
516C4×C11—42no—
517C4×C11—41no—
518C4×C11—41no—
519C4×C11—81no—
520C4×C11—81no—
521C2×#41—21no—
522C2×#41—21no—
523C22×Q8C23×C1111yescharacteristic
524C22×D4—21no—
525C2×Q16—21no—
526C2×SD16—21no—
527C2×SD16—21no—
528C2×SD16—21no—
529C4⋊Q8—21no—
530C4⋊Q8D4×C1111yescharacteristic
531#127D4×C1111yescharacteristic
532#126—21no—
533#126—21no—
534#126—21no—
535#126—21no—
536#126—21no—
537#126—21no—
538#126—21no—
539#126—21no—
540#126—21no—
541#125—21no—
542#125—21no—
543#125D4×C1111yescharacteristic
544#124—21no—
545#124—21no—
546#124—21no—
547#124—21no—
548#124D4×C1111yescharacteristic
549#123—21no—
550#123—21no—
551#123—21no—
552#123—21no—
553#123—21no—
554#123—21no—
555#123—21no—
556#123—21no—
557#123—21no—
558#123—21no—
559#123—21no—
560#123—21no—
561C22⋊Q8—21no—
562C22⋊Q8—21no—
563C22⋊Q8—21no—
564C22⋊Q8—21no—
565C22⋊Q8—21no—
566C22⋊Q8—21no—
567C22⋊Q8—21no—
568C22⋊Q8C23×C1111yescharacteristic
569#121—21no—
570#121—21no—
571#121—21no—
572#121—21no—
573#121—21no—
574#121—21no—
575#121—21no—
576#121—21no—
577#121—21no—
578#121—21no—
579#121—21no—
580#121—21no—
581#121C23×C1111yescharacteristic
582#121C23×C1111yescharacteristic
583#121C23×C1111yescharacteristic
584#120—21no—
585#120—21no—
586#120—21no—
587#120—21no—
588#120—21no—
589C4×Q8—21no—
590C4×Q8—21no—
591C4×Q8—21no—
592C4×Q8—21no—
593C4×Q8D4×C1111yescharacteristic
594C4×D4—21no—
595C4×D4—21no—
596C4×D4—21no—
597C4×D4—21no—
598C4×D4—21no—
599C4×D4—21no—
600C4×D4—21no—
601C4×D4—21no—
602C4×D4D4×C1111yescharacteristic
603C4×D4D4×C1111yescharacteristic
604C4×D4D4×C1111yescharacteristic
605#117—21no—
606#117—21no—
607C2×C4⋊C4—21no—
608C2×C4⋊C4—21no—
609C2×C4⋊C4—21no—
610C2×C4⋊C4—21no—
611C2×C4⋊C4D4×C1111yescharacteristic
612C2×C4⋊C4D4×C1111yescharacteristic
613C2×C4⋊C4C23×C1111yescharacteristic
614C2×C4⋊C4C23×C1111yescharacteristic
615C2×C22⋊C4—21no—
616C2×C22⋊C4—21no—
617C2×C22⋊C4—21no—
618C2×C22⋊C4—21no—
619C2×C22⋊C4D4×C1111yescharacteristic
620C2×C22⋊C4D4×C1111yescharacteristic
621C2×C22⋊C4C23×C1111yescharacteristic
622C2×C42—21no—
623C2×C42—21no—
624C2×C42C23×C1111yescharacteristic
625#107—21no—
626#106—21no—
627#106—21no—
628#106—21no—
629C4⋊C8—21no—
630C4⋊C8—21no—
631#103—21no—
632#103—21no—
633#103—21no—
634#103—21no—
635#103—21no—
636#102—21no—
637#102—21no—
638#102—21no—
639C22⋊C8C23×C1111yescharacteristic
640C22⋊C8C23×C1111yescharacteristic
641C22⋊C8C23×C1111yescharacteristic
642C22⋊C8C23×C1111yescharacteristic
643#97—21no—
644C4×C8—21no—
645#95—21no—
646#95—21no—
647#95—21no—
648#95—21no—
649#95—21no—
650#95C23×C1111yescharacteristic
651#95C23×C1111yescharacteristic
652C2×C11—21no—
653C2×C11—21no—
654C2×C11—81no—
655C2×C11—81no—
656C2×C11—81no—
657C2×C11—81no—
658C2×C11#300911yescharacteristic
659C2×C11#301811yescharacteristic
660C2×C11#302511yescharacteristic
661C24—21no—
662C24C2×D4×C1111yescharacteristic
663#41—81no—
664#41—81no—
665#41—81no—
666#41—81no—
667C2×Q8—21no—
668C2×Q8—21no—
669C2×Q8—21no—
670C2×Q8—21no—
671C2×Q8—42no—
672C2×Q8C2×D4×C1111yescharacteristic
673C2×D4—21no—
674C2×D4—21no—
675C2×D4—21no—
676C2×D4—21no—
677C2×D4—21no—
678C2×D4—21no—
679C2×D4—21no—
680C2×D4—21no—
681C2×D4—21no—
682C2×D4—21no—
683C2×D4—21no—
684C2×D4—21no—
685C2×D4—81no—
686C2×D4—81no—
687C2×D4C2×D4×C1111yescharacteristic
688C2×D4C2×D4×C1111yescharacteristic
689C2×D4C2×D4×C1111yescharacteristic
690C22×C4—21no—
691C22×C4—21no—
692C22×C4—21no—
693C22×C4—21no—
694C22×C4—21no—
695C22×C4—21no—
696C22×C4—21no—
697C22×C4—21no—
698C22×C4—21no—
699C22×C4—21no—
700C22×C4—21no—
701C22×C4—21no—
702C22×C4C2×D4×C1111yescharacteristic
703C22×C4C2×D4×C1111yescharacteristic
704C22×C4C2×D4×C1111yescharacteristic
705C22×C4C2×D4×C1111yescharacteristic
706C22×C4C2×D4×C1111yescharacteristic
707C22×C4C24×C1111yescharacteristic
708Q16—42no—
709SD16—42no—
710SD16—42no—
711SD16—42no—
712C2×C8—21no—
713C2×C8—21no—
714C2×C8—21no—
715C2×C8—21no—
716C4⋊C4—21no—
717C4⋊C4—21no—
718C4⋊C4—21no—
719C4⋊C4—21no—
720C4⋊C4—21no—
721C4⋊C4—21no—
722C4⋊C4—21no—
723C4⋊C4—21no—
724C4⋊C4—21no—
725C4⋊C4—21no—
726C4⋊C4—21no—
727C4⋊C4—21no—
728C4⋊C4—21no—
729C4⋊C4—21no—
730C4⋊C4—21no—
731C4⋊C4—21no—
732C4⋊C4—21no—
733C4⋊C4—21no—
734C4⋊C4—21no—
735C4⋊C4—42no—
736C4⋊C4—42no—
737C4⋊C4—41no—
738C4⋊C4—41no—
739C4⋊C4C2×D4×C1111yescharacteristic
740C4⋊C4C2×D4×C1111yescharacteristic
741C4⋊C4C2×D4×C1111yescharacteristic
742C4⋊C4C2×D4×C1111yescharacteristic
743C22⋊C4—21no—
744C22⋊C4—21no—
745C22⋊C4—21no—
746C22⋊C4—21no—
747C22⋊C4—21no—
748C22⋊C4—21no—
749C22⋊C4—21no—
750C22⋊C4—21no—
751C22⋊C4—21no—
752C22⋊C4—21no—
753C22⋊C4—21no—
754C22⋊C4—21no—
755C22⋊C4—21no—
756C22⋊C4—21no—
757C22⋊C4—21no—
758C22⋊C4—21no—
759C22⋊C4—21no—
760C22⋊C4—21no—
761C22⋊C4—21no—
762C22⋊C4—21no—
763C22⋊C4—21no—
764C22⋊C4—21no—
765C22⋊C4—21no—
766C22⋊C4—21no—
767C22⋊C4—21no—
768C22⋊C4—42no—
769C22⋊C4—42no—
770C42—21no—
771C42—21no—
772C42—21no—
773C42—42no—
774C42—41no—
775C42—41no—
776C42C2×D4×C1111yescharacteristic
777C42C2×D4×C1111yescharacteristic
778C42C2×D4×C1111yescharacteristic
779C42C2×D4×C1111yescharacteristic
780C11#1828111yescharacteristic, direct product factor, Sylow
781C23—21no—
782C23—21no—
783C23—21no—
784C23—21no—
785C23—21no—
786C23—21no—
787C23—41no—
788C23—41no—
789C23—81no—
790C23—81no—
791C23—81no—
792C23C22×D4×C1111yescharacteristic
793Q8—22no—
794Q8—22no—
795Q8—41no—
796Q8—41no—
797Q8—41no—
798Q8—81no—
799Q8—81no—
800D4—41no—
801D4—41no—
802D4—41no—
803D4—41no—
804D4—41no—
805D4—41no—
806D4—41no—
807D4—41no—
808D4—41no—
809D4—81no—
810D4—81no—
811D4—81no—
812D4—81no—
813D4—81no—
814D4—81no—
815D4—81no—
816D4—81no—
817D4—81no—
818C2×C4—21no—
819C2×C4—21no—
820C2×C4—22no—
821C2×C4—22no—
822C2×C4—21no—
823C2×C4—21no—
824C2×C4—21no—
825C2×C4—21no—
826C2×C4—21no—
827C2×C4—21no—
828C2×C4—21no—
829C2×C4—21no—
830C2×C4—21no—
831C2×C4—21no—
832C2×C4—41no—
833C2×C4—41no—
834C2×C4—41no—
835C2×C4—41no—
836C2×C4—41no—
837C2×C4—41no—
838C2×C4—41no—
839C2×C4—41no—
840C2×C4—41no—
841C2×C4—41no—
842C2×C4—41no—
843C2×C4—41no—
844C2×C4—41no—
845C2×C4—41no—
846C2×C4—81no—
847C2×C4—81no—
848C2×C4—81no—
849C2×C4—81no—
850C2×C4—81no—
851C2×C4—81no—
852C2×C4—81no—
853C2×C4—81no—
854C2×C4C11×#12011yescharacteristic
855C2×C4C11×#12011yescharacteristic
856C2×C4C11×#12011yescharacteristic
857C2×C4C11×#12011yescharacteristic
858C2×C4C22×D4×C1111yescharacteristic
859C2×C4C22×D4×C1111yescharacteristic
860C8—41no—
861C8—41no—
862C8—41no—
863C8—41no—
864C22—21no—
865C22—21no—
866C22—41no—
867C22—41no—
868C22—41no—
869C22—41no—
870C22—41no—
871C22—41no—
872C22—41no—
873C22—41no—
874C22—41no—
875C22—41no—
876C22—41no—
877C22—41no—
878C22—81no—
879C22—81no—
880C22—162no—
881C22C2×C11×#12011yescharacteristic
882C22C11×#57711yescharacteristic
883C22C11×#57711yescharacteristic
884C4—21no—
885C4—21no—
886C4—21no—
887C4—21no—
888C4—21no—
889C4—21no—
890C4—42no—
891C4—41no—
892C4—41no—
893C4—41no—
894C4—41no—
895C4—41no—
896C4—41no—
897C4—42no—
898C4—41no—
899C4—41no—
900C4—81no—
901C4—81no—
902C2—21no—
903C2—21no—
904C2—81no—
905C2—81no—
906C2—81no—
907C2—81no—
908C2C11×#300911yescharacteristic
909C2C11×#301811yescharacteristic
910C2C11×#302511yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3560C2
LCSG ▷ C22×C4 ▷ 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×#3117C2semidirect
3. C11×#3103C2semidirect
4. C11×#2604C2semidirect
5. C11×#1618C2semidirect
6. C11×#1616C2semidirect
7. C11×#1615C2semidirect
8. C11×#1613C2semidirect
9. C11×#1606C2semidirect
10. C11×#1604C2semidirect
11. C11×#1603C2semidirect
12. C11×#1601C2semidirect
13. C11×#1505C2semidirect
14. C11×#1500C2semidirect
15. C11×#1473C2semidirect
35. C2×C4×Q8×C11C22semidirect
36. C11×#484C22semidirect
39. C11×#481C22semidirect
44. C11×#451C22semidirect
47. C11×#448C22semidirect
52. C11×#432C22semidirect
53. C11×#431C22semidirect
54. C11×#400C22semidirect
56. C11×#395C22semidirect
62. C11×#376C22semidirect
63. C11×#328C22semidirect
64. C11×#328C22semidirect
69. C11×#327C22semidirect
70. C11×#327C22semidirect
71. C11×#324C22semidirect
72. C11×#324C22semidirect
206. #18281C11direct (N × H)
327. #3117C2×C11semidirect
328. #3103C2×C11semidirect
329. #2604C2×C11semidirect
330. #1618C2×C11semidirect
331. #1616C2×C11semidirect
332. #1615C2×C11semidirect
333. #1613C2×C11semidirect
334. #1606C2×C11semidirect
335. #1604C2×C11semidirect
336. #1603C2×C11semidirect
337. #1601C2×C11semidirect
338. #1505C2×C11semidirect
339. #1500C2×C11semidirect
340. #1473C2×C11semidirect
443. C2×C4×Q8C22×C11semidirect
444. #484C22×C11semidirect
447. #481C22×C11semidirect
452. #451C22×C11semidirect
455. #448C22×C11semidirect
460. #432C22×C11semidirect
461. #431C22×C11semidirect
462. #400C22×C11semidirect
464. #395C22×C11semidirect
470. #376C22×C11semidirect
471. #328C22×C11semidirect
472. #328C22×C11semidirect
477. #327C22×C11semidirect
478. #327C22×C11semidirect
479. #324C22×C11semidirect
480. #324C22×C11semidirect
780. C11#18281direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35602
C11×#31172
C11×#31032
C11×#26042
C11×#16182
C11×#16162
C11×#16152
C11×#16132
C11×#16062
C11×#16042
C11×#16032
C11×#16012
C11×#15052
C11×#15002
C11×#14732
#1828111