Finite Group Databasebeta

← C11×#19068 #14596261

Subgroups — C11×#19068 #14596261

Order 2816.

920 conjugacy classes of subgroups.

The subgroup lattice has 892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3545C211yesmaximal, characteristic, complemented
2C11×#3219C211yesmaximal, characteristic, complemented
3C11×#3213C211yesmaximal, characteristic, complemented
4C11×#3171C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1662C211yesmaximal, characteristic, complemented
7C11×#1661C211yesmaximal, characteristic, complemented
8C11×#1659C211yesmaximal, characteristic, complemented
9C11×#1657C211yesmaximal, characteristic, complemented
10C11×#1656C211yesmaximal, characteristic, complemented
11C11×#1656C211yesmaximal, characteristic, complemented
12C11×#1655C211yesmaximal, characteristic, complemented
13C11×#1535C211yesmaximal, characteristic, complemented
14C11×#1529C211yesmaximal, characteristic, complemented
15C11×#1527C211yesmaximal, characteristic, complemented
16C11×#563C2211yescharacteristic
17C11×#562C2211yescharacteristic
18C11×#562C2211yescharacteristic
19C11×H(3,𝔽4)C2211yescharacteristic
20C11×#555—21no—
21C11×#551—21no—
22C11×#551—21no—
23C11×#551—21no—
24C11×#546—21no—
25C11×#546—21no—
26C11×#542—21no—
27C11×#542—21no—
28C11×#538—21no—
29C11×#538—21no—
30C11×#536—21no—
31C11×#534—21no—
32C11×#532C2211yescharacteristic, complemented
33C11×#529C2211yescharacteristic
34C11×#529C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C11×#501C2211yescharacteristic, complemented
37C11×#497C2211yescharacteristic, complemented
38C11×#496C2211yescharacteristic
39C11×#496C2211yescharacteristic, complemented
40C11×#496C2211yescharacteristic, complemented
41C11×#496C2211yescharacteristic, complemented
42C11×#491C2211yescharacteristic, complemented
43C11×#490C2211yescharacteristic, complemented
44C11×#490C2211yescharacteristic, complemented
45C11×#489C2211yescharacteristic
46C11×#489C2211yescharacteristic, complemented
47C11×#489C2211yescharacteristic, complemented
48C11×#469—21no—
49C11×#468—21no—
50C11×#464—21no—
51C11×#463—21no—
52C11×#463—21no—
53C11×#463—21no—
54C11×#452—21no—
55C11×#449—21no—
56C11×#448—21no—
57C11×#447—21no—
58C4×C11×SD16—21no—
59C4×C11×D8—21no—
60C11×#432C2211yescharacteristic, complemented
61C11×#432C2211yescharacteristic, complemented
62C4×C11×M16C2211yescharacteristic, complemented
63C11×#330C2211yescharacteristic, complemented
64C11×#330C2211yescharacteristic, complemented
65C11×#330C2211yescharacteristic, complemented
66C11×#330C2211yescharacteristic, complemented
67C11×#329C2211yescharacteristic
68C11×#329C2211yescharacteristic
69C11×#329C2211yescharacteristic, complemented
70C11×#329C2211yescharacteristic, complemented
71C11×#329C2211yescharacteristic, complemented
72C11×#329C2211yescharacteristic, complemented
73C11×#329C2211yescharacteristic, complemented
74C11×#329C2211yescharacteristic, complemented
75C2×C11×#41—21no—
76C2×C11×#41—21no—
77C22×Q8×C11D411yescharacteristic
78C22×D4×C11—21no—
79C22×D4×C11D411yescharacteristic
80C2×C11×Q16—21no—
81C2×C11×SD16—21no—
82C2×C11×SD16—21no—
83C2×C11×SD16—21no—
84C2×C11×SD16—21no—
85C2×C11×SD16—21no—
86C2×C11×D8—21no—
87C2×C11×D8—21no—
88C2×C11×D8—21no—
89C2×C11×D8—21no—
90C2×C11×M16—21no—
91C11×C4⋊Q8—21no—
92C11×C4⋊Q8—21no—
93C11×C4⋊Q8C2311yescharacteristic
94C11×#127C2311yescharacteristic
95C11×#126—21no—
96C11×#126—21no—
97C11×#126—21no—
98C11×#126—21no—
99C11×#126—21no—
100C11×#126—21no—
101C11×#125C2311yescharacteristic
102C11×#125C2311yescharacteristic
103C11×#124—21no—
104C11×#124—21no—
105C11×#124—21no—
106C11×#124—21no—
107C11×#124—21no—
108C11×#124—21no—
109C11×#124—21no—
110C11×#124—21no—
111C11×#124—21no—
112C11×#124D411yescharacteristic
113C11×#124D411yescharacteristic
114C11×#124C2311yescharacteristic
115C11×#124C2311yescharacteristic
116C11×#124C2311yescharacteristic
117C11×#124C2311yescharacteristic
118C11×#123—21no—
119C11×#123—21no—
120C11×#123—21no—
121C11×#123—21no—
122C11×#123—21no—
123C11×#123—21no—
124C11×#123—21no—
125C11×#123—21no—
126C11×#123—21no—
127C11×#123—21no—
128C11×#123—21no—
129C11×#123—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⋊Q8—21no—
138C11×C22⋊Q8D411yescharacteristic
139C11×C22⋊Q8D411yescharacteristic
140C11×#121—21no—
141C11×#121—21no—
142C11×#121—21no—
143C11×#121—21no—
144C11×#121—21no—
145C11×#121—21no—
146C11×#121—21no—
147C11×#121—21no—
148C11×#121—21no—
149C11×#121—21no—
150C11×#121D411yescharacteristic
151C11×#121D411yescharacteristic
152C11×#120—21no—
153C11×#120—21no—
154C11×#120—21no—
155C11×#120—21no—
156C11×#120—21no—
157C11×#120—21no—
158C4×Q8×C11D411yescharacteristic
159C4×Q8×C11D411yescharacteristic
160C4×D4×C11—21no—
161C4×D4×C11—21no—
162C4×D4×C11—21no—
163C4×D4×C11—21no—
164C4×D4×C11—21no—
165C4×D4×C11—21no—
166C4×D4×C11—21no—
167C4×D4×C11—21no—
168C4×D4×C11D411yescharacteristic
169C4×D4×C11D411yescharacteristic
170C11×#117—21no—
171C11×#117—21no—
172C11×#117—21no—
173C11×#117—21no—
174C11×#117—21no—
175C2×C11×C22⋊C4—21no—
176C2×C11×C22⋊C4—21no—
177C2×C11×C22⋊C4—21no—
178C2×C11×C22⋊C4—21no—
179C2×C11×C22⋊C4—21no—
180C2×C42×C11C2311yescharacteristic
181C11×#107—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×#102—21no—
194C11×#102—21no—
195C11×#102—21no—
196C11×#102—21no—
197C11×C22⋊C8—21no—
198C11×C22⋊C8—21no—
199C11×#97C2311yescharacteristic
200C11×#97C2311yescharacteristic
201C11×#97C2311yescharacteristic
202C11×#97C2311yescharacteristic
203C11×#97C2311yescharacteristic
204C11×#97C2311yescharacteristic
205C4×C8×C11—21no—
206#19068C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C24×C11—21no—
209C11×#41—82no—
210C11×#41—81no—
211C11×#41—81no—
212C2×Q8×C11—21no—
213C2×Q8×C11—21no—
214C2×Q8×C11—21no—
215C2×Q8×C11—81no—
216C2×Q8×C11C2×D411yescharacteristic
217C2×Q8×C11C2×D411yescharacteristic
218C2×Q8×C11C2×D411yescharacteristic
219C2×Q8×C11C2×D411yescharacteristic
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—21no—
232C2×D4×C11—21no—
233C2×D4×C11—41no—
234C2×D4×C11—81no—
235C2×D4×C11—82no—
236C2×D4×C11C2×D411yescharacteristic
237C2×D4×C11C2×D411yescharacteristic
238C2×D4×C11C2×D411yescharacteristic
239C2×D4×C11C2×D411yescharacteristic
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×C11—41no—
249C22×C4×C11C2×D411yescharacteristic
250C22×C4×C11C2×D411yescharacteristic
251C22×C4×C11C2×D411yescharacteristic
252C11×Q16—81no—
253C11×SD16—42no—
254C11×SD16—81no—
255C11×SD16—81no—
256C11×SD16—81no—
257C11×SD16—81no—
258C11×D8—42no—
259C11×D8—81no—
260C11×D8—81no—
261C11×D8—81no—
262C11×M16—42no—
263C2×C8×C11—21no—
264C2×C8×C11—21no—
265C2×C8×C11—21no—
266C2×C8×C11—21no—
267C2×C8×C11—21no—
268C2×C8×C11—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⋊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—21no—
315C11×C22⋊C4—21no—
316C11×C22⋊C4—21no—
317C11×C22⋊C4—41no—
318C11×C22⋊C4—41no—
319C42×C11—21no—
320C42×C11—21no—
321C42×C11—21no—
322C42×C11—21no—
323C42×C11C2×D411yescharacteristic
324C42×C11C2×D411yescharacteristic
325C42×C11C2×D411yescharacteristic
326C42×C11C2411yescharacteristic
327#3545C2×C1111yescharacteristic, complemented
328#3219C2×C1111yescharacteristic, complemented
329#3213C2×C1111yescharacteristic, complemented
330#3171C2×C1111yescharacteristic, complemented
331#1664C2×C1111yescharacteristic, complemented
332#1662C2×C1111yescharacteristic, complemented
333#1661C2×C1111yescharacteristic, complemented
334#1659C2×C1111yescharacteristic, complemented
335#1657C2×C1111yescharacteristic, complemented
336#1656C2×C1111yescharacteristic, complemented
337#1656C2×C1111yescharacteristic, complemented
338#1655C2×C1111yescharacteristic, complemented
339#1535C2×C1111yescharacteristic, complemented
340#1529C2×C1111yescharacteristic, complemented
341#1527C2×C1111yescharacteristic, complemented
342C23×C11—21no—
343C23×C11—21no—
344C23×C11—21no—
345C23×C11—21no—
346C23×C11—42no—
347C23×C11—41no—
348C23×C11—81no—
349C23×C11—81no—
350C23×C11—81no—
351C23×C11—81no—
352C23×C11—81no—
353C23×C11#12011yescharacteristic
354Q8×C11—41no—
355Q8×C11—41no—
356Q8×C11—41no—
357Q8×C11—41no—
358Q8×C11—41no—
359Q8×C11—41no—
360Q8×C11—81no—
361Q8×C11—81no—
362D4×C11—41no—
363D4×C11—41no—
364D4×C11—41no—
365D4×C11—41no—
366D4×C11—41no—
367D4×C11—41no—
368D4×C11—41no—
369D4×C11—41no—
370D4×C11—41no—
371D4×C11—41no—
372D4×C11—42no—
373D4×C11—42no—
374D4×C11—81no—
375D4×C11—81no—
376D4×C11—81no—
377D4×C11—81no—
378D4×C11—81no—
379D4×C11—81no—
380D4×C11—81no—
381D4×C11—81no—
382D4×C11—82no—
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—41no—
392C2×C4×C11—41no—
393C2×C4×C11—41no—
394C2×C4×C11—42no—
395C2×C4×C11—41no—
396C2×C4×C11—81no—
397C2×C4×C11—81no—
398C2×C4×C11—82no—
399C2×C4×C11—81no—
400C2×C4×C11—81no—
401C2×C4×C11—81no—
402C2×C4×C11—81no—
403C2×C4×C11—81no—
404C2×C4×C11#12011yescharacteristic
405C2×C4×C11#12011yescharacteristic
406C2×C4×C11#12011yescharacteristic
407C2×C4×C11C22×D411yescharacteristic
408C2×C4×C11C22×D411yescharacteristic
409C2×C4×C11C22×D411yescharacteristic
410C8×C11—22no—
411C8×C11—41no—
412C8×C11—41no—
413C8×C11—41no—
414C8×C11—41no—
415C8×C11—41no—
416#563C22×C1111yescharacteristic
417#562C22×C1111yescharacteristic
418#562C22×C1111yescharacteristic
419H(3,𝔽4)C22×C1111yescharacteristic
420#555—21no—
421#551—21no—
422#551—21no—
423#551—21no—
424#546—21no—
425#546—21no—
426#542—21no—
427#542—21no—
428#538—21no—
429#538—21no—
430#536—21no—
431#534—21no—
432#532C22×C1111yescharacteristic, complemented
433#529C22×C1111yescharacteristic
434#529C22×C1111yescharacteristic
435C2×#124C22×C1111yescharacteristic
436#501C22×C1111yescharacteristic, complemented
437#497C22×C1111yescharacteristic, complemented
438#496C22×C1111yescharacteristic
439#496C22×C1111yescharacteristic, complemented
440#496C22×C1111yescharacteristic, complemented
441#496C22×C1111yescharacteristic, complemented
442#491C22×C1111yescharacteristic, complemented
443#490C22×C1111yescharacteristic, complemented
444#490C22×C1111yescharacteristic, complemented
445#489C22×C1111yescharacteristic
446#489C22×C1111yescharacteristic, complemented
447#489C22×C1111yescharacteristic, complemented
448#469—21no—
449#468—21no—
450#464—21no—
451#463—21no—
452#463—21no—
453#463—21no—
454#452—21no—
455#449—21no—
456#448—21no—
457#447—21no—
458C4×SD16—21no—
459C4×D8—21no—
460#432C22×C1111yescharacteristic, complemented
461#432C22×C1111yescharacteristic, complemented
462C4×M16C22×C1111yescharacteristic, complemented
463#330C22×C1111yescharacteristic, complemented
464#330C22×C1111yescharacteristic, complemented
465#330C22×C1111yescharacteristic, complemented
466#330C22×C1111yescharacteristic, complemented
467#329C22×C1111yescharacteristic
468#329C22×C1111yescharacteristic
469#329C22×C1111yescharacteristic, complemented
470#329C22×C1111yescharacteristic, complemented
471#329C22×C1111yescharacteristic, complemented
472#329C22×C1111yescharacteristic, complemented
473#329C22×C1111yescharacteristic, complemented
474#329C22×C1111yescharacteristic, complemented
475C22×C11—21no—
476C22×C11—21no—
477C22×C11—21no—
478C22×C11—41no—
479C22×C11—41no—
480C22×C11—41no—
481C22×C11—41no—
482C22×C11—41no—
483C22×C11—41no—
484C22×C11—41no—
485C22×C11—41no—
486C22×C11—41no—
487C22×C11—41no—
488C22×C11—41no—
489C22×C11—41no—
490C22×C11—81no—
491C22×C11—81no—
492C22×C11—81no—
493C22×C11—162no—
494C22×C11—162no—
495C22×C11C2×#12011yescharacteristic
496C4×C11—21no—
497C4×C11—21no—
498C4×C11—21no—
499C4×C11—21no—
500C4×C11—21no—
501C4×C11—21no—
502C4×C11—41no—
503C4×C11—41no—
504C4×C11—41no—
505C4×C11—41no—
506C4×C11—41no—
507C4×C11—41no—
508C4×C11—41no—
509C4×C11—41no—
510C4×C11—81no—
511C2×#41—21no—
512C2×#41—21no—
513C22×Q8D4×C1111yescharacteristic
514C22×D4—21no—
515C22×D4D4×C1111yescharacteristic
516C2×Q16—21no—
517C2×SD16—21no—
518C2×SD16—21no—
519C2×SD16—21no—
520C2×SD16—21no—
521C2×SD16—21no—
522C2×D8—21no—
523C2×D8—21no—
524C2×D8—21no—
525C2×D8—21no—
526C2×M16—21no—
527C4⋊Q8—21no—
528C4⋊Q8—21no—
529C4⋊Q8C23×C1111yescharacteristic
530#127C23×C1111yescharacteristic
531#126—21no—
532#126—21no—
533#126—21no—
534#126—21no—
535#126—21no—
536#126—21no—
537#125C23×C1111yescharacteristic
538#125C23×C1111yescharacteristic
539#124—21no—
540#124—21no—
541#124—21no—
542#124—21no—
543#124—21no—
544#124—21no—
545#124—21no—
546#124—21no—
547#124—21no—
548#124D4×C1111yescharacteristic
549#124D4×C1111yescharacteristic
550#124C23×C1111yescharacteristic
551#124C23×C1111yescharacteristic
552#124C23×C1111yescharacteristic
553#124C23×C1111yescharacteristic
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—
564#123—21no—
565#123—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⋊Q8D4×C1111yescharacteristic
575C22⋊Q8D4×C1111yescharacteristic
576#121—21no—
577#121—21no—
578#121—21no—
579#121—21no—
580#121—21no—
581#121—21no—
582#121—21no—
583#121—21no—
584#121—21no—
585#121—21no—
586#121D4×C1111yescharacteristic
587#121D4×C1111yescharacteristic
588#120—21no—
589#120—21no—
590#120—21no—
591#120—21no—
592#120—21no—
593#120—21no—
594C4×Q8D4×C1111yescharacteristic
595C4×Q8D4×C1111yescharacteristic
596C4×D4—21no—
597C4×D4—21no—
598C4×D4—21no—
599C4×D4—21no—
600C4×D4—21no—
601C4×D4—21no—
602C4×D4—21no—
603C4×D4—21no—
604C4×D4D4×C1111yescharacteristic
605C4×D4D4×C1111yescharacteristic
606#117—21no—
607#117—21no—
608#117—21no—
609#117—21no—
610#117—21no—
611C2×C22⋊C4—21no—
612C2×C22⋊C4—21no—
613C2×C22⋊C4—21no—
614C2×C22⋊C4—21no—
615C2×C22⋊C4—21no—
616C2×C42C23×C1111yescharacteristic
617#107—21no—
618#106—21no—
619C4⋊C8—21no—
620C4⋊C8—21no—
621#103—21no—
622#103—21no—
623#103—21no—
624#103—21no—
625#103—21no—
626#102—21no—
627#102—21no—
628#102—21no—
629#102—21no—
630#102—21no—
631#102—21no—
632#102—21no—
633C22⋊C8—21no—
634C22⋊C8—21no—
635#97C23×C1111yescharacteristic
636#97C23×C1111yescharacteristic
637#97C23×C1111yescharacteristic
638#97C23×C1111yescharacteristic
639#97C23×C1111yescharacteristic
640#97C23×C1111yescharacteristic
641C4×C8—21no—
642C2×C11—41no—
643C2×C11—81no—
644C2×C11—81no—
645C2×C11—81no—
646C2×C11—81no—
647C2×C11—161no—
648C2×C11#301811yescharacteristic
649C2×C11#301911yescharacteristic
650C2×C11#302111yescharacteristic
651C24—21no—
652C24—21no—
653#41—82no—
654#41—81no—
655#41—81no—
656C2×Q8—21no—
657C2×Q8—21no—
658C2×Q8—21no—
659C2×Q8—81no—
660C2×Q8C2×D4×C1111yescharacteristic
661C2×Q8C2×D4×C1111yescharacteristic
662C2×Q8C2×D4×C1111yescharacteristic
663C2×Q8C2×D4×C1111yescharacteristic
664C2×D4—21no—
665C2×D4—21no—
666C2×D4—21no—
667C2×D4—21no—
668C2×D4—21no—
669C2×D4—21no—
670C2×D4—21no—
671C2×D4—21no—
672C2×D4—21no—
673C2×D4—21no—
674C2×D4—21no—
675C2×D4—21no—
676C2×D4—21no—
677C2×D4—41no—
678C2×D4—81no—
679C2×D4—82no—
680C2×D4C2×D4×C1111yescharacteristic
681C2×D4C2×D4×C1111yescharacteristic
682C2×D4C2×D4×C1111yescharacteristic
683C2×D4C2×D4×C1111yescharacteristic
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—41no—
693C22×C4C2×D4×C1111yescharacteristic
694C22×C4C2×D4×C1111yescharacteristic
695C22×C4C2×D4×C1111yescharacteristic
696Q16—81no—
697SD16—42no—
698SD16—81no—
699SD16—81no—
700SD16—81no—
701SD16—81no—
702D8—42no—
703D8—81no—
704D8—81no—
705D8—81no—
706M16—42no—
707C2×C8—21no—
708C2×C8—21no—
709C2×C8—21no—
710C2×C8—21no—
711C2×C8—21no—
712C2×C8—21no—
713C4⋊C4—21no—
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⋊C4C2×D4×C1111yescharacteristic
730C4⋊C4C2×D4×C1111yescharacteristic
731C4⋊C4C2×D4×C1111yescharacteristic
732C4⋊C4C2×D4×C1111yescharacteristic
733C22⋊C4—21no—
734C22⋊C4—21no—
735C22⋊C4—21no—
736C22⋊C4—21no—
737C22⋊C4—21no—
738C22⋊C4—21no—
739C22⋊C4—21no—
740C22⋊C4—21no—
741C22⋊C4—21no—
742C22⋊C4—21no—
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—41no—
762C22⋊C4—41no—
763C42—21no—
764C42—21no—
765C42—21no—
766C42—21no—
767C42C2×D4×C1111yescharacteristic
768C42C2×D4×C1111yescharacteristic
769C42C2×D4×C1111yescharacteristic
770C42C24×C1111yescharacteristic
771C11#1906811yescharacteristic, direct product factor, Sylow
772C23—21no—
773C23—21no—
774C23—21no—
775C23—21no—
776C23—42no—
777C23—41no—
778C23—81no—
779C23—81no—
780C23—81no—
781C23—81no—
782C23—81no—
783C23C11×#12011yescharacteristic
784Q8—41no—
785Q8—41no—
786Q8—41no—
787Q8—41no—
788Q8—41no—
789Q8—41no—
790Q8—81no—
791Q8—81no—
792D4—41no—
793D4—41no—
794D4—41no—
795D4—41no—
796D4—41no—
797D4—41no—
798D4—41no—
799D4—41no—
800D4—41no—
801D4—41no—
802D4—42no—
803D4—42no—
804D4—81no—
805D4—81no—
806D4—81no—
807D4—81no—
808D4—81no—
809D4—81no—
810D4—81no—
811D4—81no—
812D4—82no—
813C2×C4—21no—
814C2×C4—21no—
815C2×C4—21no—
816C2×C4—21no—
817C2×C4—21no—
818C2×C4—21no—
819C2×C4—21no—
820C2×C4—21no—
821C2×C4—41no—
822C2×C4—41no—
823C2×C4—41no—
824C2×C4—42no—
825C2×C4—41no—
826C2×C4—81no—
827C2×C4—81no—
828C2×C4—82no—
829C2×C4—81no—
830C2×C4—81no—
831C2×C4—81no—
832C2×C4—81no—
833C2×C4—81no—
834C2×C4C11×#12011yescharacteristic
835C2×C4C11×#12011yescharacteristic
836C2×C4C11×#12011yescharacteristic
837C2×C4C22×D4×C1111yescharacteristic
838C2×C4C22×D4×C1111yescharacteristic
839C2×C4C22×D4×C1111yescharacteristic
840C8—22no—
841C8—41no—
842C8—41no—
843C8—41no—
844C8—41no—
845C8—41no—
846C22—21no—
847C22—21no—
848C22—21no—
849C22—41no—
850C22—41no—
851C22—41no—
852C22—41no—
853C22—41no—
854C22—41no—
855C22—41no—
856C22—41no—
857C22—41no—
858C22—41no—
859C22—41no—
860C22—41no—
861C22—81no—
862C22—81no—
863C22—81no—
864C22—162no—
865C22—162no—
866C22C2×C11×#12011yescharacteristic
867C4—21no—
868C4—21no—
869C4—21no—
870C4—21no—
871C4—21no—
872C4—21no—
873C4—41no—
874C4—41no—
875C4—41no—
876C4—41no—
877C4—41no—
878C4—41no—
879C4—41no—
880C4—41no—
881C4—81no—
882C2—41no—
883C2—81no—
884C2—81no—
885C2—81no—
886C2—81no—
887C2—161no—
888C2C11×#301811yescharacteristic
889C2C11×#301911yescharacteristic
890C2C11×#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×#3545C2semidirect
2. C11×#3219C2semidirect
3. C11×#3213C2semidirect
4. C11×#3171C2semidirect
5. C11×#1664C2semidirect
6. C11×#1662C2semidirect
7. C11×#1661C2semidirect
8. C11×#1659C2semidirect
9. C11×#1657C2semidirect
10. C11×#1656C2semidirect
11. C11×#1656C2semidirect
12. C11×#1655C2semidirect
13. C11×#1535C2semidirect
14. C11×#1529C2semidirect
15. C11×#1527C2semidirect
32. C11×#532C22semidirect
36. C11×#501C22semidirect
37. C11×#497C22semidirect
39. C11×#496C22semidirect
40. C11×#496C22semidirect
41. C11×#496C22semidirect
42. C11×#491C22semidirect
43. C11×#490C22semidirect
44. C11×#490C22semidirect
46. C11×#489C22semidirect
47. C11×#489C22semidirect
60. C11×#432C22semidirect
61. C11×#432C22semidirect
62. C4×C11×M16C22semidirect
63. C11×#330C22semidirect
64. C11×#330C22semidirect
65. C11×#330C22semidirect
66. C11×#330C22semidirect
69. C11×#329C22semidirect
70. C11×#329C22semidirect
71. C11×#329C22semidirect
72. C11×#329C22semidirect
73. C11×#329C22semidirect
74. C11×#329C22semidirect
206. #19068C11direct (N × H)
327. #3545C2×C11semidirect
328. #3219C2×C11semidirect
329. #3213C2×C11semidirect
330. #3171C2×C11semidirect
331. #1664C2×C11semidirect
332. #1662C2×C11semidirect
333. #1661C2×C11semidirect
334. #1659C2×C11semidirect
335. #1657C2×C11semidirect
336. #1656C2×C11semidirect
337. #1656C2×C11semidirect
338. #1655C2×C11semidirect
339. #1535C2×C11semidirect
340. #1529C2×C11semidirect
341. #1527C2×C11semidirect
432. #532C22×C11semidirect
436. #501C22×C11semidirect
437. #497C22×C11semidirect
439. #496C22×C11semidirect
440. #496C22×C11semidirect
441. #496C22×C11semidirect
442. #491C22×C11semidirect
443. #490C22×C11semidirect
444. #490C22×C11semidirect
446. #489C22×C11semidirect
447. #489C22×C11semidirect
460. #432C22×C11semidirect
461. #432C22×C11semidirect
462. C4×M16C22×C11semidirect
463. #330C22×C11semidirect
464. #330C22×C11semidirect
465. #330C22×C11semidirect
466. #330C22×C11semidirect
469. #329C22×C11semidirect
470. #329C22×C11semidirect
471. #329C22×C11semidirect
472. #329C22×C11semidirect
473. #329C22×C11semidirect
474. #329C22×C11semidirect
771. C11#19068direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35452
C11×#32192
C11×#32132
C11×#31712
C11×#16642
C11×#16622
C11×#16612
C11×#16592
C11×#16572
C11×#16562
C11×#16552
C11×#15352
C11×#15292
C11×#15272
#1906811