Finite Group Databasebeta

← C11×#19038 #14596231

Subgroups — C11×#19038 #14596231

Order 2816.

876 conjugacy classes of subgroups.

The subgroup lattice has 854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3568C211yesmaximal, characteristic, complemented
2C11×#3219C211yesmaximal, characteristic, complemented
3C11×#3180C211yesmaximal, characteristic, complemented
4C11×#3171C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1664C211yesmaximal, characteristic, complemented
7C11×#1660C211yesmaximal, characteristic, complemented
8C11×#1659C211yesmaximal, characteristic, complemented
9C11×#1657C211yesmaximal, characteristic, complemented
10C11×#1657C211yesmaximal, characteristic, complemented
11C11×#1657C211yesmaximal, characteristic, complemented
12C11×#1655C211yesmaximal, characteristic, complemented
13C11×#1532C211yesmaximal, characteristic, complemented
14C11×#1529C211yesmaximal, characteristic, complemented
15C11×#1524C211yesmaximal, characteristic, complemented
16C11×#563C2211yescharacteristic
17C11×#563C2211yescharacteristic
18C11×#563C2211yescharacteristic
19C11×H(3,𝔽4)C2211yescharacteristic
20C11×#556—21no—
21C11×#556—21no—
22C11×#556—21no—
23C11×#551—21no—
24C11×#551—21no—
25C11×#551—21no—
26C11×#542—21no—
27C11×#542—21no—
28C11×#542—21no—
29C11×#538—21no—
30C11×#538—21no—
31C11×#538—21no—
32C11×#532C2211yescharacteristic, complemented
33C11×#529C2211yescharacteristic
34C11×#529C2211yescharacteristic
35C11×#529C2211yescharacteristic
36C11×#501C2211yescharacteristic, complemented
37C11×#501C2211yescharacteristic, complemented
38C11×#497C2211yescharacteristic
39C11×#496C2211yescharacteristic
40C11×#496C2211yescharacteristic
41C11×#496C2211yescharacteristic
42C11×#491C2211yescharacteristic, complemented
43C11×#490C2211yescharacteristic, complemented
44C11×#490C2211yescharacteristic, complemented
45C11×#490C2211yescharacteristic, complemented
46C11×#489C2211yescharacteristic
47C11×#489C2211yescharacteristic
48C11×#469—21no—
49C11×#468—21no—
50C11×#466—21no—
51C11×#465—21no—
52C11×#464—21no—
53C11×#463—21no—
54C11×#452—21no—
55C11×#449—21no—
56C11×#442—21no—
57C11×#440—21no—
58C4×C11×SD16—21no—
59C4×C11×D8—21no—
60C11×#432C2211yescharacteristic, complemented
61C4×C11×M16C2211yescharacteristic, complemented
62C2×C11×#97C2211yescharacteristic, complemented
63C11×#330C2211yescharacteristic, complemented
64C11×#330C2211yescharacteristic, complemented
65C11×#330C2211yescharacteristic, complemented
66C11×#330C2211yescharacteristic, complemented
67C11×#330C2211yescharacteristic, complemented
68C11×#330C2211yescharacteristic, complemented
69C11×#329C2211yescharacteristic
70C11×#329C2211yescharacteristic
71C11×#329C2211yescharacteristic
72C11×#329C2211yescharacteristic
73C11×#329C2211yescharacteristic
74C11×#329C2211yescharacteristic
75C2×C11×#41—21no—
76C2×C11×Q16—21no—
77C2×C11×SD16—21no—
78C2×C11×SD16—21no—
79C2×C11×SD16—21no—
80C2×C11×SD16—21no—
81C2×C11×D8—21no—
82C2×C11×D8—21no—
83C2×C11×D8—21no—
84C2×C11×M16—21no—
85C22×C8×C11—21no—
86C11×C4⋊Q8—21no—
87C11×C4⋊Q8—21no—
88C11×C4⋊Q8—21no—
89C11×C4⋊Q8C2311yescharacteristic
90C11×#127C2311yescharacteristic
91C11×#126—21no—
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#126—21no—
97C11×#126—21no—
98C11×#126—21no—
99C11×#126—21no—
100C11×#126—21no—
101C11×#126—21no—
102C11×#126—21no—
103C11×#126—21no—
104C11×#125C2311yescharacteristic
105C11×#125C2311yescharacteristic
106C11×#125C2311yescharacteristic
107C11×#124—21no—
108C11×#124—21no—
109C11×#124—21no—
110C11×#124—21no—
111C11×#124—21no—
112C11×#124—21no—
113C11×#124—21no—
114C11×#124—21no—
115C11×#124—21no—
116C11×#124—21no—
117C11×#124C2311yescharacteristic
118C11×#124C2311yescharacteristic
119C11×#124C2311yescharacteristic
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×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⋊Q8—21no—
138C11×C22⋊Q8D411yescharacteristic
139C11×C22⋊Q8D411yescharacteristic
140C11×C22⋊Q8D411yescharacteristic
141C11×#121—21no—
142C11×#121—21no—
143C11×#121—21no—
144C11×#121—21no—
145C11×#121—21no—
146C11×#121D411yescharacteristic
147C11×#121D411yescharacteristic
148C11×#121D411yescharacteristic
149C11×#120—21no—
150C11×#120—21no—
151C11×#120—21no—
152C11×#120—21no—
153C4×Q8×C11—21no—
154C4×Q8×C11—21no—
155C4×Q8×C11—21no—
156C4×Q8×C11D411yescharacteristic
157C4×Q8×C11D411yescharacteristic
158C4×Q8×C11D411yescharacteristic
159C4×D4×C11—21no—
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×C11D411yescharacteristic
168C4×D4×C11D411yescharacteristic
169C4×D4×C11D411yescharacteristic
170C11×#117—21no—
171C11×#117—21no—
172C11×#117—21no—
173C11×#117—21no—
174C11×#117—21no—
175C11×#117—21no—
176C2×C11×C22⋊C4—21no—
177C2×C11×C22⋊C4—21no—
178C2×C11×C22⋊C4—21no—
179C2×C42×C11C2311yescharacteristic
180C11×#107—21no—
181C11×#107—21no—
182C11×#106—21no—
183C11×#106—21no—
184C11×C4⋊C8—21no—
185C11×#103—21no—
186C11×#103—21no—
187C11×#103—21no—
188C11×#103—21no—
189C11×#102—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×#97—21no—
199C11×#97C2311yescharacteristic
200C11×#97C2311yescharacteristic
201C11×#97C2311yescharacteristic
202C11×#97C2311yescharacteristic
203C11×#97C2311yescharacteristic
204C11×#97C2311yescharacteristic
205C4×C8×C11—21no—
206#19038C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C11×#41—81no—
209C11×#41—81no—
210C2×Q8×C11—21no—
211C2×Q8×C11—21no—
212C2×Q8×C11—21no—
213C2×Q8×C11—21no—
214C2×Q8×C11C2×D411yescharacteristic
215C2×Q8×C11C2×D411yescharacteristic
216C2×Q8×C11C2×D411yescharacteristic
217C2×D4×C11—21no—
218C2×D4×C11—21no—
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—41no—
227C2×D4×C11C2×D411yescharacteristic
228C2×D4×C11C2×D411yescharacteristic
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—41no—
237C22×C4×C11C2×D411yescharacteristic
238C22×C4×C11C2×D411yescharacteristic
239C22×C4×C11C2×D411yescharacteristic
240C11×Q16—81no—
241C11×SD16—42no—
242C11×SD16—42no—
243C11×SD16—81no—
244C11×SD16—81no—
245C11×D8—42no—
246C11×D8—42no—
247C11×D8—81no—
248C11×M16—42no—
249C2×C8×C11—21no—
250C2×C8×C11—21no—
251C2×C8×C11—21no—
252C2×C8×C11—21no—
253C2×C8×C11—21no—
254C2×C8×C11—21no—
255C2×C8×C11—42no—
256C11×C4⋊C4—21no—
257C11×C4⋊C4—21no—
258C11×C4⋊C4—21no—
259C11×C4⋊C4—21no—
260C11×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
277C11×C4⋊C4C2×D411yescharacteristic
278C11×C4⋊C4C2×D411yescharacteristic
279C11×C4⋊C4C2×D411yescharacteristic
280C11×C4⋊C4C2×D411yescharacteristic
281C11×C4⋊C4C2×D411yescharacteristic
282C11×C22⋊C4—21no—
283C11×C22⋊C4—21no—
284C11×C22⋊C4—21no—
285C11×C22⋊C4—21no—
286C11×C22⋊C4—21no—
287C11×C22⋊C4—21no—
288C11×C22⋊C4—21no—
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—41no—
310C11×C22⋊C4—41no—
311C42×C11—21no—
312C42×C11—21no—
313C42×C11—21no—
314C42×C11—21no—
315C42×C11—21no—
316C42×C11—21no—
317C42×C11—21no—
318C42×C11C2×D411yescharacteristic
319C42×C11C2×D411yescharacteristic
320C42×C11C2×D411yescharacteristic
321C42×C11C2411yescharacteristic
322#3568C2×C1111yescharacteristic, complemented
323#3219C2×C1111yescharacteristic, complemented
324#3180C2×C1111yescharacteristic, complemented
325#3171C2×C1111yescharacteristic, complemented
326#1664C2×C1111yescharacteristic, complemented
327#1664C2×C1111yescharacteristic, complemented
328#1660C2×C1111yescharacteristic, complemented
329#1659C2×C1111yescharacteristic, complemented
330#1657C2×C1111yescharacteristic, complemented
331#1657C2×C1111yescharacteristic, complemented
332#1657C2×C1111yescharacteristic, complemented
333#1655C2×C1111yescharacteristic, complemented
334#1532C2×C1111yescharacteristic, complemented
335#1529C2×C1111yescharacteristic, complemented
336#1524C2×C1111yescharacteristic, complemented
337C23×C11—21no—
338C23×C11—21no—
339C23×C11—21no—
340C23×C11—41no—
341C23×C11—81no—
342C23×C11—81no—
343C23×C11—81no—
344C23×C11#12011yescharacteristic
345Q8×C11—41no—
346Q8×C11—41no—
347Q8×C11—41no—
348Q8×C11—41no—
349Q8×C11—41no—
350Q8×C11—81no—
351Q8×C11—81no—
352Q8×C11—81no—
353D4×C11—41no—
354D4×C11—41no—
355D4×C11—41no—
356D4×C11—41no—
357D4×C11—41no—
358D4×C11—41no—
359D4×C11—41no—
360D4×C11—41no—
361D4×C11—41no—
362D4×C11—81no—
363D4×C11—81no—
364D4×C11—81no—
365D4×C11—81no—
366D4×C11—81no—
367D4×C11—81no—
368D4×C11—82no—
369C2×C4×C11—21no—
370C2×C4×C11—21no—
371C2×C4×C11—21no—
372C2×C4×C11—21no—
373C2×C4×C11—21no—
374C2×C4×C11—21no—
375C2×C4×C11—21no—
376C2×C4×C11—21no—
377C2×C4×C11—21no—
378C2×C4×C11—41no—
379C2×C4×C11—41no—
380C2×C4×C11—41no—
381C2×C4×C11—41no—
382C2×C4×C11—81no—
383C2×C4×C11—81no—
384C2×C4×C11—81no—
385C2×C4×C11—82no—
386C2×C4×C11—81no—
387C2×C4×C11—81no—
388C2×C4×C11—81no—
389C2×C4×C11#12011yescharacteristic
390C2×C4×C11#12011yescharacteristic
391C2×C4×C11#12011yescharacteristic
392C2×C4×C11C22×D411yescharacteristic
393C2×C4×C11C22×D411yescharacteristic
394C2×C4×C11C22×D411yescharacteristic
395C8×C11—22no—
396C8×C11—22no—
397C8×C11—41no—
398C8×C11—41no—
399C8×C11—41no—
400C8×C11—41no—
401#563C22×C1111yescharacteristic
402#563C22×C1111yescharacteristic
403#563C22×C1111yescharacteristic
404H(3,𝔽4)C22×C1111yescharacteristic
405#556—21no—
406#556—21no—
407#556—21no—
408#551—21no—
409#551—21no—
410#551—21no—
411#542—21no—
412#542—21no—
413#542—21no—
414#538—21no—
415#538—21no—
416#538—21no—
417#532C22×C1111yescharacteristic, complemented
418#529C22×C1111yescharacteristic
419#529C22×C1111yescharacteristic
420#529C22×C1111yescharacteristic
421#501C22×C1111yescharacteristic, complemented
422#501C22×C1111yescharacteristic, complemented
423#497C22×C1111yescharacteristic
424#496C22×C1111yescharacteristic
425#496C22×C1111yescharacteristic
426#496C22×C1111yescharacteristic
427#491C22×C1111yescharacteristic, complemented
428#490C22×C1111yescharacteristic, complemented
429#490C22×C1111yescharacteristic, complemented
430#490C22×C1111yescharacteristic, complemented
431#489C22×C1111yescharacteristic
432#489C22×C1111yescharacteristic
433#469—21no—
434#468—21no—
435#466—21no—
436#465—21no—
437#464—21no—
438#463—21no—
439#452—21no—
440#449—21no—
441#442—21no—
442#440—21no—
443C4×SD16—21no—
444C4×D8—21no—
445#432C22×C1111yescharacteristic, complemented
446C4×M16C22×C1111yescharacteristic, complemented
447C2×#97C22×C1111yescharacteristic, complemented
448#330C22×C1111yescharacteristic, complemented
449#330C22×C1111yescharacteristic, complemented
450#330C22×C1111yescharacteristic, complemented
451#330C22×C1111yescharacteristic, complemented
452#330C22×C1111yescharacteristic, complemented
453#330C22×C1111yescharacteristic, complemented
454#329C22×C1111yescharacteristic
455#329C22×C1111yescharacteristic
456#329C22×C1111yescharacteristic
457#329C22×C1111yescharacteristic
458#329C22×C1111yescharacteristic
459#329C22×C1111yescharacteristic
460C22×C11—21no—
461C22×C11—21no—
462C22×C11—21no—
463C22×C11—41no—
464C22×C11—41no—
465C22×C11—41no—
466C22×C11—41no—
467C22×C11—41no—
468C22×C11—41no—
469C22×C11—41no—
470C22×C11—41no—
471C22×C11—41no—
472C22×C11—81no—
473C22×C11—81no—
474C22×C11—81no—
475C22×C11—162no—
476C22×C11C2×#12011yescharacteristic
477C4×C11—21no—
478C4×C11—21no—
479C4×C11—21no—
480C4×C11—21no—
481C4×C11—21no—
482C4×C11—21no—
483C4×C11—41no—
484C4×C11—41no—
485C4×C11—41no—
486C4×C11—41no—
487C4×C11—41no—
488C4×C11—41no—
489C4×C11—41no—
490C4×C11—41no—
491C4×C11—41no—
492C4×C11—81no—
493C2×#41—21no—
494C2×Q16—21no—
495C2×SD16—21no—
496C2×SD16—21no—
497C2×SD16—21no—
498C2×SD16—21no—
499C2×D8—21no—
500C2×D8—21no—
501C2×D8—21no—
502C2×M16—21no—
503C22×C8—21no—
504C4⋊Q8—21no—
505C4⋊Q8—21no—
506C4⋊Q8—21no—
507C4⋊Q8C23×C1111yescharacteristic
508#127C23×C1111yescharacteristic
509#126—21no—
510#126—21no—
511#126—21no—
512#126—21no—
513#126—21no—
514#126—21no—
515#126—21no—
516#126—21no—
517#126—21no—
518#126—21no—
519#126—21no—
520#126—21no—
521#126—21no—
522#125C23×C1111yescharacteristic
523#125C23×C1111yescharacteristic
524#125C23×C1111yescharacteristic
525#124—21no—
526#124—21no—
527#124—21no—
528#124—21no—
529#124—21no—
530#124—21no—
531#124—21no—
532#124—21no—
533#124—21no—
534#124—21no—
535#124C23×C1111yescharacteristic
536#124C23×C1111yescharacteristic
537#124C23×C1111yescharacteristic
538#123—21no—
539#123—21no—
540#123—21no—
541#123—21no—
542#123—21no—
543#123—21no—
544#123—21no—
545#123—21no—
546#123—21no—
547C22⋊Q8—21no—
548C22⋊Q8—21no—
549C22⋊Q8—21no—
550C22⋊Q8—21no—
551C22⋊Q8—21no—
552C22⋊Q8—21no—
553C22⋊Q8—21no—
554C22⋊Q8—21no—
555C22⋊Q8—21no—
556C22⋊Q8D4×C1111yescharacteristic
557C22⋊Q8D4×C1111yescharacteristic
558C22⋊Q8D4×C1111yescharacteristic
559#121—21no—
560#121—21no—
561#121—21no—
562#121—21no—
563#121—21no—
564#121D4×C1111yescharacteristic
565#121D4×C1111yescharacteristic
566#121D4×C1111yescharacteristic
567#120—21no—
568#120—21no—
569#120—21no—
570#120—21no—
571C4×Q8—21no—
572C4×Q8—21no—
573C4×Q8—21no—
574C4×Q8D4×C1111yescharacteristic
575C4×Q8D4×C1111yescharacteristic
576C4×Q8D4×C1111yescharacteristic
577C4×D4—21no—
578C4×D4—21no—
579C4×D4—21no—
580C4×D4—21no—
581C4×D4—21no—
582C4×D4—21no—
583C4×D4—21no—
584C4×D4—21no—
585C4×D4D4×C1111yescharacteristic
586C4×D4D4×C1111yescharacteristic
587C4×D4D4×C1111yescharacteristic
588#117—21no—
589#117—21no—
590#117—21no—
591#117—21no—
592#117—21no—
593#117—21no—
594C2×C22⋊C4—21no—
595C2×C22⋊C4—21no—
596C2×C22⋊C4—21no—
597C2×C42C23×C1111yescharacteristic
598#107—21no—
599#107—21no—
600#106—21no—
601#106—21no—
602C4⋊C8—21no—
603#103—21no—
604#103—21no—
605#103—21no—
606#103—21no—
607#102—21no—
608#102—21no—
609#102—21no—
610#102—21no—
611#102—21no—
612#102—21no—
613#102—21no—
614#102—21no—
615C22⋊C8—21no—
616#97—21no—
617#97C23×C1111yescharacteristic
618#97C23×C1111yescharacteristic
619#97C23×C1111yescharacteristic
620#97C23×C1111yescharacteristic
621#97C23×C1111yescharacteristic
622#97C23×C1111yescharacteristic
623C4×C8—21no—
624C2×C11—41no—
625C2×C11—81no—
626C2×C11—81no—
627C2×C11—81no—
628C2×C11—161no—
629C2×C11#301811yescharacteristic
630C2×C11#301811yescharacteristic
631C2×C11#302111yescharacteristic
632C24—21no—
633#41—81no—
634#41—81no—
635C2×Q8—21no—
636C2×Q8—21no—
637C2×Q8—21no—
638C2×Q8—21no—
639C2×Q8C2×D4×C1111yescharacteristic
640C2×Q8C2×D4×C1111yescharacteristic
641C2×Q8C2×D4×C1111yescharacteristic
642C2×D4—21no—
643C2×D4—21no—
644C2×D4—21no—
645C2×D4—21no—
646C2×D4—21no—
647C2×D4—21no—
648C2×D4—21no—
649C2×D4—21no—
650C2×D4—21no—
651C2×D4—41no—
652C2×D4C2×D4×C1111yescharacteristic
653C2×D4C2×D4×C1111yescharacteristic
654C2×D4C2×D4×C1111yescharacteristic
655C22×C4—21no—
656C22×C4—21no—
657C22×C4—21no—
658C22×C4—21no—
659C22×C4—21no—
660C22×C4—21no—
661C22×C4—41no—
662C22×C4C2×D4×C1111yescharacteristic
663C22×C4C2×D4×C1111yescharacteristic
664C22×C4C2×D4×C1111yescharacteristic
665Q16—81no—
666SD16—42no—
667SD16—42no—
668SD16—81no—
669SD16—81no—
670D8—42no—
671D8—42no—
672D8—81no—
673M16—42no—
674C2×C8—21no—
675C2×C8—21no—
676C2×C8—21no—
677C2×C8—21no—
678C2×C8—21no—
679C2×C8—21no—
680C2×C8—42no—
681C4⋊C4—21no—
682C4⋊C4—21no—
683C4⋊C4—21no—
684C4⋊C4—21no—
685C4⋊C4—21no—
686C4⋊C4—21no—
687C4⋊C4—21no—
688C4⋊C4—21no—
689C4⋊C4—21no—
690C4⋊C4—21no—
691C4⋊C4—21no—
692C4⋊C4—21no—
693C4⋊C4—21no—
694C4⋊C4—21no—
695C4⋊C4—21no—
696C4⋊C4—21no—
697C4⋊C4—21no—
698C4⋊C4—21no—
699C4⋊C4—21no—
700C4⋊C4—21no—
701C4⋊C4C2×D4×C1111yescharacteristic
702C4⋊C4C2×D4×C1111yescharacteristic
703C4⋊C4C2×D4×C1111yescharacteristic
704C4⋊C4C2×D4×C1111yescharacteristic
705C4⋊C4C2×D4×C1111yescharacteristic
706C4⋊C4C2×D4×C1111yescharacteristic
707C22⋊C4—21no—
708C22⋊C4—21no—
709C22⋊C4—21no—
710C22⋊C4—21no—
711C22⋊C4—21no—
712C22⋊C4—21no—
713C22⋊C4—21no—
714C22⋊C4—21no—
715C22⋊C4—21no—
716C22⋊C4—21no—
717C22⋊C4—21no—
718C22⋊C4—21no—
719C22⋊C4—21no—
720C22⋊C4—21no—
721C22⋊C4—21no—
722C22⋊C4—21no—
723C22⋊C4—21no—
724C22⋊C4—21no—
725C22⋊C4—21no—
726C22⋊C4—21no—
727C22⋊C4—21no—
728C22⋊C4—21no—
729C22⋊C4—21no—
730C22⋊C4—21no—
731C22⋊C4—21no—
732C22⋊C4—21no—
733C22⋊C4—21no—
734C22⋊C4—41no—
735C22⋊C4—41no—
736C42—21no—
737C42—21no—
738C42—21no—
739C42—21no—
740C42—21no—
741C42—21no—
742C42—21no—
743C42C2×D4×C1111yescharacteristic
744C42C2×D4×C1111yescharacteristic
745C42C2×D4×C1111yescharacteristic
746C42C24×C1111yescharacteristic
747C11#1903811yescharacteristic, direct product factor, Sylow
748C23—21no—
749C23—21no—
750C23—21no—
751C23—41no—
752C23—81no—
753C23—81no—
754C23—81no—
755C23C11×#12011yescharacteristic
756Q8—41no—
757Q8—41no—
758Q8—41no—
759Q8—41no—
760Q8—41no—
761Q8—81no—
762Q8—81no—
763Q8—81no—
764D4—41no—
765D4—41no—
766D4—41no—
767D4—41no—
768D4—41no—
769D4—41no—
770D4—41no—
771D4—41no—
772D4—41no—
773D4—81no—
774D4—81no—
775D4—81no—
776D4—81no—
777D4—81no—
778D4—81no—
779D4—82no—
780C2×C4—21no—
781C2×C4—21no—
782C2×C4—21no—
783C2×C4—21no—
784C2×C4—21no—
785C2×C4—21no—
786C2×C4—21no—
787C2×C4—21no—
788C2×C4—21no—
789C2×C4—41no—
790C2×C4—41no—
791C2×C4—41no—
792C2×C4—41no—
793C2×C4—81no—
794C2×C4—81no—
795C2×C4—81no—
796C2×C4—82no—
797C2×C4—81no—
798C2×C4—81no—
799C2×C4—81no—
800C2×C4C11×#12011yescharacteristic
801C2×C4C11×#12011yescharacteristic
802C2×C4C11×#12011yescharacteristic
803C2×C4C22×D4×C1111yescharacteristic
804C2×C4C22×D4×C1111yescharacteristic
805C2×C4C22×D4×C1111yescharacteristic
806C8—22no—
807C8—22no—
808C8—41no—
809C8—41no—
810C8—41no—
811C8—41no—
812C22—21no—
813C22—21no—
814C22—21no—
815C22—41no—
816C22—41no—
817C22—41no—
818C22—41no—
819C22—41no—
820C22—41no—
821C22—41no—
822C22—41no—
823C22—41no—
824C22—81no—
825C22—81no—
826C22—81no—
827C22—162no—
828C22C2×C11×#12011yescharacteristic
829C4—21no—
830C4—21no—
831C4—21no—
832C4—21no—
833C4—21no—
834C4—21no—
835C4—41no—
836C4—41no—
837C4—41no—
838C4—41no—
839C4—41no—
840C4—41no—
841C4—41no—
842C4—41no—
843C4—41no—
844C4—81no—
845C2—41no—
846C2—81no—
847C2—81no—
848C2—81no—
849C2—161no—
850C2C11×#301811yescharacteristic
851C2C11×#301811yescharacteristic
852C2C11×#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×#3568C2semidirect
2. C11×#3219C2semidirect
3. C11×#3180C2semidirect
4. C11×#3171C2semidirect
5. C11×#1664C2semidirect
6. C11×#1664C2semidirect
7. C11×#1660C2semidirect
8. C11×#1659C2semidirect
9. C11×#1657C2semidirect
10. C11×#1657C2semidirect
11. C11×#1657C2semidirect
12. C11×#1655C2semidirect
13. C11×#1532C2semidirect
14. C11×#1529C2semidirect
15. C11×#1524C2semidirect
32. C11×#532C22semidirect
36. C11×#501C22semidirect
37. C11×#501C22semidirect
42. C11×#491C22semidirect
43. C11×#490C22semidirect
44. C11×#490C22semidirect
45. C11×#490C22semidirect
60. C11×#432C22semidirect
61. C4×C11×M16C22semidirect
62. C2×C11×#97C22semidirect
63. C11×#330C22semidirect
64. C11×#330C22semidirect
65. C11×#330C22semidirect
66. C11×#330C22semidirect
67. C11×#330C22semidirect
68. C11×#330C22semidirect
206. #19038C11direct (N × H)
322. #3568C2×C11semidirect
323. #3219C2×C11semidirect
324. #3180C2×C11semidirect
325. #3171C2×C11semidirect
326. #1664C2×C11semidirect
327. #1664C2×C11semidirect
328. #1660C2×C11semidirect
329. #1659C2×C11semidirect
330. #1657C2×C11semidirect
331. #1657C2×C11semidirect
332. #1657C2×C11semidirect
333. #1655C2×C11semidirect
334. #1532C2×C11semidirect
335. #1529C2×C11semidirect
336. #1524C2×C11semidirect
417. #532C22×C11semidirect
421. #501C22×C11semidirect
422. #501C22×C11semidirect
427. #491C22×C11semidirect
428. #490C22×C11semidirect
429. #490C22×C11semidirect
430. #490C22×C11semidirect
445. #432C22×C11semidirect
446. C4×M16C22×C11semidirect
447. C2×#97C22×C11semidirect
448. #330C22×C11semidirect
449. #330C22×C11semidirect
450. #330C22×C11semidirect
451. #330C22×C11semidirect
452. #330C22×C11semidirect
453. #330C22×C11semidirect
747. C11#19038direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35682
C11×#32192
C11×#31802
C11×#31712
C11×#16642
C11×#16602
C11×#16592
C11×#16572
C11×#16552
C11×#15322
C11×#15292
C11×#15242
#1903811