Finite Group Databasebeta

← C11×#18449 #14595642

Subgroups — C11×#18449 #14595642

Order 2816.

918 conjugacy classes of subgroups.

The subgroup lattice has 910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3535C211yesmaximal, characteristic
2C11×#3195C211yesmaximal, characteristic, complemented
3C11×#3190C211yesmaximal, characteristic, complemented
4C11×#2814C211yesmaximal, characteristic, complemented
5C11×#1612C211yesmaximal, characteristic, complemented
6C11×#1611C211yesmaximal, characteristic, complemented
7C11×#1609C211yesmaximal, characteristic, complemented
8C11×#1608C211yesmaximal, characteristic, complemented
9C11×#1606C211yesmaximal, characteristic, complemented
10C11×#1605C211yesmaximal, characteristic, complemented
11C11×#1603C211yesmaximal, characteristic, complemented
12C11×#1602C211yesmaximal, characteristic, complemented
13C11×#1520C211yesmaximal, characteristic, complemented
14C11×#1513C211yesmaximal, characteristic, complemented
15C11×#1468C211yesmaximal, characteristic, complemented
16C11×#563—21no—
17C11×#562—21no—
18C11×#554—21no—
19C11×#552—21no—
20C11×#551—21no—
21C11×#551—21no—
22C11×#547—21no—
23C11×#546—21no—
24C11×#544C2211yescharacteristic
25C11×#543C2211yescharacteristic
26C11×#542—21no—
27C11×#539—21no—
28C11×#539—21no—
29C11×#539C2211yescharacteristic
30C11×#538C2211yescharacteristic
31C11×#536—21no—
32C11×#525C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C11×#485—21no—
37C11×#483—21no—
38C11×#483C2211yescharacteristic
39C11×#483C2211yescharacteristic
40C11×#483C2211yescharacteristic
41C11×#480C2211yescharacteristic
42C11×#470—21no—
43C11×#470—21no—
44C11×#467—21no—
45C11×#465—21no—
46C11×#452—21no—
47C11×#451—21no—
48C11×#451C2211yescharacteristic
49C11×#451C2211yescharacteristic
50C11×#451C2211yescharacteristic
51C11×#448C2211yescharacteristic
52C11×#407C2211yescharacteristic
53C2×C11×C22⋊C8C2211yescharacteristic
54C11×#398—21no—
55C11×#398C2211yescharacteristic
56C11×#397—21no—
57C11×#397C2211yescharacteristic
58C11×#396—21no—
59C11×#395C2211yescharacteristic
60C11×#394—21no—
61C11×#393C2211yescharacteristic
62C11×#380C2211yescharacteristic
63C11×#328C2211yescharacteristic
64C11×#328C2211yescharacteristic
65C11×#328C2211yescharacteristic
66C11×#328C2211yescharacteristic
67C11×#328C2211yescharacteristic
68C11×#328C2211yescharacteristic
69C11×#327C2211yescharacteristic
70C11×#327C2211yescharacteristic
71C11×#324C2211yescharacteristic
72C11×#324C2211yescharacteristic
73C11×#323C2211yescharacteristic
74C11×#323C2211yescharacteristic
75C2×C11×#41—21no—
76C2×C11×#41D411yescharacteristic
77C22×Q8×C11D411yescharacteristic
78C22×Q8×C11C2311yescharacteristic
79C22×D4×C11D411yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C2×C11×Q16—21no—
82C2×C11×Q16—21no—
83C2×C11×Q16—21no—
84C2×C11×SD16—21no—
85C2×C11×M16—21no—
86C22×C8×C11—21no—
87C11×C4⋊Q8—21no—
88C11×C4⋊Q8—21no—
89C11×C4⋊Q8—21no—
90C11×#126—21no—
91C11×#126—21no—
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#125—21no—
97C11×#125—21no—
98C11×#125—21no—
99C11×#125—21no—
100C11×#125—21no—
101C11×#124—21no—
102C11×#124—21no—
103C11×#124—21no—
104C11×#124—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×#123—21no—
116C11×#123—21no—
117C11×#123—21no—
118C11×#123—21no—
119C11×C22⋊Q8—21no—
120C11×C22⋊Q8—21no—
121C11×C22⋊Q8—21no—
122C11×C22⋊Q8—21no—
123C11×C22⋊Q8—21no—
124C11×C22⋊Q8—21no—
125C11×C22⋊Q8—21no—
126C11×C22⋊Q8—21no—
127C11×C22⋊Q8—21no—
128C11×C22⋊Q8—21no—
129C11×C22⋊Q8—21no—
130C11×C22⋊Q8—21no—
131C11×C22⋊Q8—21no—
132C11×C22⋊Q8—21no—
133C11×C22⋊Q8—21no—
134C11×C22⋊Q8—21no—
135C11×C22⋊Q8—21no—
136C11×C22⋊Q8—21no—
137C11×C22⋊Q8D411yescharacteristic
138C11×C22⋊Q8D411yescharacteristic
139C11×C22⋊Q8D411yescharacteristic
140C11×C22⋊Q8C2311yescharacteristic
141C11×C22⋊Q8C2311yescharacteristic
142C11×C22⋊Q8C2311yescharacteristic
143C11×#121—21no—
144C11×#121—21no—
145C11×#121—21no—
146C11×#121—21no—
147C11×#121D411yescharacteristic
148C11×#121C2311yescharacteristic
149C11×#120—21no—
150C11×#120—21no—
151C4×Q8×C11—21no—
152C4×D4×C11—21no—
153C4×D4×C11—21no—
154C4×D4×C11—21no—
155C4×D4×C11—21no—
156C4×D4×C11—21no—
157C4×D4×C11—21no—
158C4×D4×C11—21no—
159C11×#117—21no—
160C11×#117—21no—
161C11×#117—21no—
162C11×#117D411yescharacteristic
163C2×C11×C4⋊C4—21no—
164C2×C11×C4⋊C4—21no—
165C2×C11×C4⋊C4—21no—
166C2×C11×C4⋊C4—21no—
167C2×C11×C4⋊C4—21no—
168C2×C11×C4⋊C4—21no—
169C2×C11×C4⋊C4D411yescharacteristic
170C2×C11×C4⋊C4D411yescharacteristic
171C2×C11×C4⋊C4C2311yescharacteristic
172C2×C11×C4⋊C4C2311yescharacteristic
173C2×C11×C22⋊C4—21no—
174C2×C11×C22⋊C4—21no—
175C2×C11×C22⋊C4—21no—
176C2×C11×C22⋊C4—21no—
177C2×C11×C22⋊C4—21no—
178C2×C11×C22⋊C4—21no—
179C2×C11×C22⋊C4D411yescharacteristic
180C2×C11×C22⋊C4D411yescharacteristic
181C2×C11×C22⋊C4C2311yescharacteristic
182C11×#107—21no—
183C11×#106—21no—
184C11×#106—21no—
185C11×#106—21no—
186C11×#103—21no—
187C11×#103—21no—
188C11×#103—21no—
189C11×#103—21no—
190C11×#103—21no—
191C11×#103—21no—
192C11×#103—21no—
193C11×#102—21no—
194C11×C22⋊C8—21no—
195C11×C22⋊C8—21no—
196C11×C22⋊C8C2311yescharacteristic
197C11×C22⋊C8C2311yescharacteristic
198C11×C22⋊C8C2311yescharacteristic
199C11×C22⋊C8C2311yescharacteristic
200C11×#95—21no—
201C11×#95—21no—
202C11×#95—21no—
203C11×#95—21no—
204C11×#95C2311yescharacteristic
205C11×#95C2311yescharacteristic
206#18449C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11C2×D411yescharacteristic
208C24×C11C2×D411yescharacteristic
209C11×#41—82no—
210C11×#41—81no—
211C2×Q8×C11—21no—
212C2×Q8×C11—21no—
213C2×Q8×C11—21no—
214C2×Q8×C11—21no—
215C2×Q8×C11—21no—
216C2×Q8×C11—81no—
217C2×Q8×C11—81no—
218C2×Q8×C11C2×D411yescharacteristic
219C2×Q8×C11C2×D411yescharacteristic
220C2×Q8×C11C2×D411yescharacteristic
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—81no—
229C2×D4×C11C2×D411yescharacteristic
230C22×C4×C11—21no—
231C22×C4×C11—21no—
232C22×C4×C11—21no—
233C22×C4×C11—21no—
234C22×C4×C11—21no—
235C22×C4×C11—21no—
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—81no—
242C22×C4×C11C2×D411yescharacteristic
243C22×C4×C11C2×D411yescharacteristic
244C22×C4×C11C2×D411yescharacteristic
245C22×C4×C11C2×D411yescharacteristic
246C22×C4×C11C2×D411yescharacteristic
247C22×C4×C11C2×D411yescharacteristic
248C22×C4×C11C2×D411yescharacteristic
249C22×C4×C11C2×D411yescharacteristic
250C22×C4×C11C2411yescharacteristic
251C11×Q16—81no—
252C11×Q16—81no—
253C11×Q16—81no—
254C11×SD16—81no—
255C11×M16—81no—
256C2×C8×C11—21no—
257C2×C8×C11—21no—
258C2×C8×C11—21no—
259C2×C8×C11—21no—
260C2×C8×C11—81no—
261C11×C4⋊C4—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—21no—
282C11×C4⋊C4—21no—
283C11×C4⋊C4—21no—
284C11×C4⋊C4—21no—
285C11×C4⋊C4—21no—
286C11×C4⋊C4—41no—
287C11×C4⋊C4—41no—
288C11×C4⋊C4—81no—
289C11×C4⋊C4—81no—
290C11×C4⋊C4—81no—
291C11×C4⋊C4C2×D411yescharacteristic
292C11×C4⋊C4C2×D411yescharacteristic
293C11×C4⋊C4C2×D411yescharacteristic
294C11×C4⋊C4C2×D411yescharacteristic
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—21no—
315C11×C22⋊C4—21no—
316C11×C22⋊C4—21no—
317C11×C22⋊C4—21no—
318C11×C22⋊C4—41no—
319C11×C22⋊C4—41no—
320C11×C22⋊C4—81no—
321C11×C22⋊C4—81no—
322C11×C22⋊C4—81no—
323C42×C11—21no—
324C42×C11—21no—
325C42×C11—21no—
326C42×C11—21no—
327C42×C11—21no—
328#3535C2×C1111yescharacteristic
329#3195C2×C1111yescharacteristic, complemented
330#3190C2×C1111yescharacteristic, complemented
331#2814C2×C1111yescharacteristic, complemented
332#1612C2×C1111yescharacteristic, complemented
333#1611C2×C1111yescharacteristic, complemented
334#1609C2×C1111yescharacteristic, complemented
335#1608C2×C1111yescharacteristic, complemented
336#1606C2×C1111yescharacteristic, complemented
337#1605C2×C1111yescharacteristic, complemented
338#1603C2×C1111yescharacteristic, complemented
339#1602C2×C1111yescharacteristic, complemented
340#1520C2×C1111yescharacteristic, complemented
341#1513C2×C1111yescharacteristic, complemented
342#1468C2×C1111yescharacteristic, complemented
343C23×C11—21no—
344C23×C11—21no—
345C23×C11—21no—
346C23×C11—21no—
347C23×C11—21no—
348C23×C11—21no—
349C23×C11—41no—
350C23×C11—41no—
351C23×C11—41no—
352C23×C11—41no—
353C23×C11#12011yescharacteristic
354C23×C11#12011yescharacteristic
355C23×C11C22×D411yescharacteristic
356Q8×C11—41no—
357Q8×C11—41no—
358Q8×C11—41no—
359Q8×C11—41no—
360Q8×C11—41no—
361Q8×C11—41no—
362Q8×C11—41no—
363Q8×C11—81no—
364Q8×C11—81no—
365Q8×C11—81no—
366D4×C11—41no—
367D4×C11—42no—
368D4×C11—42no—
369D4×C11—41no—
370D4×C11—41no—
371D4×C11—81no—
372D4×C11—81no—
373D4×C11—81no—
374D4×C11—81no—
375C2×C4×C11—21no—
376C2×C4×C11—21no—
377C2×C4×C11—21no—
378C2×C4×C11—21no—
379C2×C4×C11—21no—
380C2×C4×C11—21no—
381C2×C4×C11—21no—
382C2×C4×C11—21no—
383C2×C4×C11—21no—
384C2×C4×C11—21no—
385C2×C4×C11—21no—
386C2×C4×C11—21no—
387C2×C4×C11—41no—
388C2×C4×C11—41no—
389C2×C4×C11—41no—
390C2×C4×C11—41no—
391C2×C4×C11—41no—
392C2×C4×C11—41no—
393C2×C4×C11—42no—
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—41no—
407C2×C4×C11—41no—
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×C11C22×D411yescharacteristic
417C2×C4×C11C22×D411yescharacteristic
418C8×C11—41no—
419C8×C11—41no—
420C8×C11—41no—
421C8×C11—41no—
422#563—21no—
423#562—21no—
424#554—21no—
425#552—21no—
426#551—21no—
427#551—21no—
428#547—21no—
429#546—21no—
430#544C22×C1111yescharacteristic
431#543C22×C1111yescharacteristic
432#542—21no—
433#539—21no—
434#539—21no—
435#539C22×C1111yescharacteristic
436#538C22×C1111yescharacteristic
437#536—21no—
438#525C22×C1111yescharacteristic
439C2×#123C22×C1111yescharacteristic
440C2×C22⋊Q8C22×C1111yescharacteristic
441C2×C22⋊Q8C22×C1111yescharacteristic
442#485—21no—
443#483—21no—
444#483C22×C1111yescharacteristic
445#483C22×C1111yescharacteristic
446#483C22×C1111yescharacteristic
447#480C22×C1111yescharacteristic
448#470—21no—
449#470—21no—
450#467—21no—
451#465—21no—
452#452—21no—
453#451—21no—
454#451C22×C1111yescharacteristic
455#451C22×C1111yescharacteristic
456#451C22×C1111yescharacteristic
457#448C22×C1111yescharacteristic
458#407C22×C1111yescharacteristic
459C2×C22⋊C8C22×C1111yescharacteristic
460#398—21no—
461#398C22×C1111yescharacteristic
462#397—21no—
463#397C22×C1111yescharacteristic
464#396—21no—
465#395C22×C1111yescharacteristic
466#394—21no—
467#393C22×C1111yescharacteristic
468#380C22×C1111yescharacteristic
469#328C22×C1111yescharacteristic
470#328C22×C1111yescharacteristic
471#328C22×C1111yescharacteristic
472#328C22×C1111yescharacteristic
473#328C22×C1111yescharacteristic
474#328C22×C1111yescharacteristic
475#327C22×C1111yescharacteristic
476#327C22×C1111yescharacteristic
477#324C22×C1111yescharacteristic
478#324C22×C1111yescharacteristic
479#323C22×C1111yescharacteristic
480#323C22×C1111yescharacteristic
481C22×C11—21no—
482C22×C11—21no—
483C22×C11—21no—
484C22×C11—21no—
485C22×C11—21no—
486C22×C11—21no—
487C22×C11—21no—
488C22×C11—21no—
489C22×C11—41no—
490C22×C11—41no—
491C22×C11—41no—
492C22×C11—41no—
493C22×C11—41no—
494C22×C11—41no—
495C22×C11—81no—
496C22×C11—81no—
497C22×C11—81no—
498C22×C11—81no—
499C22×C11C2×#12011yescharacteristic
500C22×C11#57711yescharacteristic
501C22×C11#57811yescharacteristic
502C4×C11—21no—
503C4×C11—21no—
504C4×C11—21no—
505C4×C11—21no—
506C4×C11—41no—
507C4×C11—41no—
508C4×C11—41no—
509C4×C11—41no—
510C4×C11—41no—
511C4×C11—41no—
512C4×C11—41no—
513C4×C11—41no—
514C4×C11—41no—
515C4×C11—41no—
516C4×C11—81no—
517C4×C11—81no—
518C4×C11—81no—
519C4×C11—81no—
520C2×#41—21no—
521C2×#41D4×C1111yescharacteristic
522C22×Q8D4×C1111yescharacteristic
523C22×Q8C23×C1111yescharacteristic
524C22×D4D4×C1111yescharacteristic
525C23×C4C23×C1111yescharacteristic
526C2×Q16—21no—
527C2×Q16—21no—
528C2×Q16—21no—
529C2×SD16—21no—
530C2×M16—21no—
531C22×C8—21no—
532C4⋊Q8—21no—
533C4⋊Q8—21no—
534C4⋊Q8—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#125—21no—
544#125—21no—
545#125—21no—
546#124—21no—
547#124—21no—
548#124—21no—
549#124—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—
561#123—21no—
562#123—21no—
563#123—21no—
564C22⋊Q8—21no—
565C22⋊Q8—21no—
566C22⋊Q8—21no—
567C22⋊Q8—21no—
568C22⋊Q8—21no—
569C22⋊Q8—21no—
570C22⋊Q8—21no—
571C22⋊Q8—21no—
572C22⋊Q8—21no—
573C22⋊Q8—21no—
574C22⋊Q8—21no—
575C22⋊Q8—21no—
576C22⋊Q8—21no—
577C22⋊Q8—21no—
578C22⋊Q8—21no—
579C22⋊Q8—21no—
580C22⋊Q8—21no—
581C22⋊Q8—21no—
582C22⋊Q8D4×C1111yescharacteristic
583C22⋊Q8D4×C1111yescharacteristic
584C22⋊Q8D4×C1111yescharacteristic
585C22⋊Q8C23×C1111yescharacteristic
586C22⋊Q8C23×C1111yescharacteristic
587C22⋊Q8C23×C1111yescharacteristic
588#121—21no—
589#121—21no—
590#121—21no—
591#121—21no—
592#121D4×C1111yescharacteristic
593#121C23×C1111yescharacteristic
594#120—21no—
595#120—21no—
596C4×Q8—21no—
597C4×D4—21no—
598C4×D4—21no—
599C4×D4—21no—
600C4×D4—21no—
601C4×D4—21no—
602C4×D4—21no—
603C4×D4—21no—
604#117—21no—
605#117—21no—
606#117—21no—
607#117D4×C1111yescharacteristic
608C2×C4⋊C4—21no—
609C2×C4⋊C4—21no—
610C2×C4⋊C4—21no—
611C2×C4⋊C4—21no—
612C2×C4⋊C4—21no—
613C2×C4⋊C4—21no—
614C2×C4⋊C4D4×C1111yescharacteristic
615C2×C4⋊C4D4×C1111yescharacteristic
616C2×C4⋊C4C23×C1111yescharacteristic
617C2×C4⋊C4C23×C1111yescharacteristic
618C2×C22⋊C4—21no—
619C2×C22⋊C4—21no—
620C2×C22⋊C4—21no—
621C2×C22⋊C4—21no—
622C2×C22⋊C4—21no—
623C2×C22⋊C4—21no—
624C2×C22⋊C4D4×C1111yescharacteristic
625C2×C22⋊C4D4×C1111yescharacteristic
626C2×C22⋊C4C23×C1111yescharacteristic
627#107—21no—
628#106—21no—
629#106—21no—
630#106—21no—
631#103—21no—
632#103—21no—
633#103—21no—
634#103—21no—
635#103—21no—
636#103—21no—
637#103—21no—
638#102—21no—
639C22⋊C8—21no—
640C22⋊C8—21no—
641C22⋊C8C23×C1111yescharacteristic
642C22⋊C8C23×C1111yescharacteristic
643C22⋊C8C23×C1111yescharacteristic
644C22⋊C8C23×C1111yescharacteristic
645#95—21no—
646#95—21no—
647#95—21no—
648#95—21no—
649#95C23×C1111yescharacteristic
650#95C23×C1111yescharacteristic
651C2×C11—21no—
652C2×C11—21no—
653C2×C11—41no—
654C2×C11—41no—
655C2×C11—81no—
656C2×C11—81no—
657C2×C11#301311yescharacteristic
658C2×C11#302211yescharacteristic
659C2×C11#302611yescharacteristic
660C24C2×D4×C1111yescharacteristic
661C24C2×D4×C1111yescharacteristic
662#41—82no—
663#41—81no—
664C2×Q8—21no—
665C2×Q8—21no—
666C2×Q8—21no—
667C2×Q8—21no—
668C2×Q8—21no—
669C2×Q8—81no—
670C2×Q8—81no—
671C2×Q8C2×D4×C1111yescharacteristic
672C2×Q8C2×D4×C1111yescharacteristic
673C2×Q8C2×D4×C1111yescharacteristic
674C2×D4—21no—
675C2×D4—21no—
676C2×D4—21no—
677C2×D4—21no—
678C2×D4—21no—
679C2×D4—21no—
680C2×D4—21no—
681C2×D4—81no—
682C2×D4C2×D4×C1111yescharacteristic
683C22×C4—21no—
684C22×C4—21no—
685C22×C4—21no—
686C22×C4—21no—
687C22×C4—21no—
688C22×C4—21no—
689C22×C4—21no—
690C22×C4—21no—
691C22×C4—21no—
692C22×C4—21no—
693C22×C4—21no—
694C22×C4—81no—
695C22×C4C2×D4×C1111yescharacteristic
696C22×C4C2×D4×C1111yescharacteristic
697C22×C4C2×D4×C1111yescharacteristic
698C22×C4C2×D4×C1111yescharacteristic
699C22×C4C2×D4×C1111yescharacteristic
700C22×C4C2×D4×C1111yescharacteristic
701C22×C4C2×D4×C1111yescharacteristic
702C22×C4C2×D4×C1111yescharacteristic
703C22×C4C24×C1111yescharacteristic
704Q16—81no—
705Q16—81no—
706Q16—81no—
707SD16—81no—
708M16—81no—
709C2×C8—21no—
710C2×C8—21no—
711C2×C8—21no—
712C2×C8—21no—
713C2×C8—81no—
714C4⋊C4—21no—
715C4⋊C4—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—21no—
736C4⋊C4—21no—
737C4⋊C4—21no—
738C4⋊C4—21no—
739C4⋊C4—41no—
740C4⋊C4—41no—
741C4⋊C4—81no—
742C4⋊C4—81no—
743C4⋊C4—81no—
744C4⋊C4C2×D4×C1111yescharacteristic
745C4⋊C4C2×D4×C1111yescharacteristic
746C4⋊C4C2×D4×C1111yescharacteristic
747C4⋊C4C2×D4×C1111yescharacteristic
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—21no—
769C22⋊C4—21no—
770C22⋊C4—21no—
771C22⋊C4—41no—
772C22⋊C4—41no—
773C22⋊C4—81no—
774C22⋊C4—81no—
775C22⋊C4—81no—
776C42—21no—
777C42—21no—
778C42—21no—
779C42—21no—
780C42—21no—
781C11#1844911yescharacteristic, direct product factor, Sylow
782C23—21no—
783C23—21no—
784C23—21no—
785C23—21no—
786C23—21no—
787C23—21no—
788C23—41no—
789C23—41no—
790C23—41no—
791C23—41no—
792C23C11×#12011yescharacteristic
793C23C11×#12011yescharacteristic
794C23C22×D4×C1111yescharacteristic
795Q8—41no—
796Q8—41no—
797Q8—41no—
798Q8—41no—
799Q8—41no—
800Q8—41no—
801Q8—41no—
802Q8—81no—
803Q8—81no—
804Q8—81no—
805D4—41no—
806D4—42no—
807D4—42no—
808D4—41no—
809D4—41no—
810D4—81no—
811D4—81no—
812D4—81no—
813D4—81no—
814C2×C4—21no—
815C2×C4—21no—
816C2×C4—21no—
817C2×C4—21no—
818C2×C4—21no—
819C2×C4—21no—
820C2×C4—21no—
821C2×C4—21no—
822C2×C4—21no—
823C2×C4—21no—
824C2×C4—21no—
825C2×C4—21no—
826C2×C4—41no—
827C2×C4—41no—
828C2×C4—41no—
829C2×C4—41no—
830C2×C4—41no—
831C2×C4—41no—
832C2×C4—42no—
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—41no—
847C2×C4—81no—
848C2×C4—81no—
849C2×C4—81no—
850C2×C4—81no—
851C2×C4—81no—
852C2×C4—81no—
853C2×C4C11×#12011yescharacteristic
854C2×C4C11×#12011yescharacteristic
855C2×C4C22×D4×C1111yescharacteristic
856C2×C4C22×D4×C1111yescharacteristic
857C8—41no—
858C8—41no—
859C8—41no—
860C8—41no—
861C22—21no—
862C22—21no—
863C22—21no—
864C22—21no—
865C22—21no—
866C22—21no—
867C22—21no—
868C22—21no—
869C22—41no—
870C22—41no—
871C22—41no—
872C22—41no—
873C22—41no—
874C22—41no—
875C22—81no—
876C22—81no—
877C22—81no—
878C22—81no—
879C22C2×C11×#12011yescharacteristic
880C22C11×#57711yescharacteristic
881C22C11×#57811yescharacteristic
882C4—21no—
883C4—21no—
884C4—21no—
885C4—21no—
886C4—41no—
887C4—41no—
888C4—41no—
889C4—41no—
890C4—41no—
891C4—41no—
892C4—41no—
893C4—41no—
894C4—41no—
895C4—41no—
896C4—81no—
897C4—81no—
898C4—81no—
899C4—81no—
900C2—21no—
901C2—21no—
902C2—41no—
903C2—41no—
904C2—81no—
905C2—81no—
906C2C11×#301311yescharacteristic
907C2C11×#302211yescharacteristic
908C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3535C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C11×#3195C2semidirect
3. C11×#3190C2semidirect
4. C11×#2814C2semidirect
5. C11×#1612C2semidirect
6. C11×#1611C2semidirect
7. C11×#1609C2semidirect
8. C11×#1608C2semidirect
9. C11×#1606C2semidirect
10. C11×#1605C2semidirect
11. C11×#1603C2semidirect
12. C11×#1602C2semidirect
13. C11×#1520C2semidirect
14. C11×#1513C2semidirect
15. C11×#1468C2semidirect
206. #18449C11direct (N × H)
329. #3195C2×C11semidirect
330. #3190C2×C11semidirect
331. #2814C2×C11semidirect
332. #1612C2×C11semidirect
333. #1611C2×C11semidirect
334. #1609C2×C11semidirect
335. #1608C2×C11semidirect
336. #1606C2×C11semidirect
337. #1605C2×C11semidirect
338. #1603C2×C11semidirect
339. #1602C2×C11semidirect
340. #1520C2×C11semidirect
341. #1513C2×C11semidirect
342. #1468C2×C11semidirect
781. C11#18449direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35352
C11×#31952
C11×#31902
C11×#28142
C11×#16122
C11×#16112
C11×#16092
C11×#16082
C11×#16062
C11×#16052
C11×#16032
C11×#16022
C11×#15202
C11×#15132
C11×#14682
#1844911