Finite Group Databasebeta

← C11×#19011 #14596204

Subgroups — C11×#19011 #14596204

Order 2816.

886 conjugacy classes of subgroups.

The subgroup lattice has 860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3529C211yesmaximal, characteristic
2C11×#3240C211yesmaximal, characteristic, complemented
3C11×#3216C211yesmaximal, characteristic, complemented
4C11×#3181C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1662C211yesmaximal, characteristic, complemented
7C11×#1661C211yesmaximal, characteristic, complemented
8C11×#1661C211yesmaximal, characteristic, complemented
9C11×#1661C211yesmaximal, characteristic, complemented
10C11×#1660C211yesmaximal, characteristic, complemented
11C11×#1659C211yesmaximal, characteristic, complemented
12C11×#1659C211yesmaximal, characteristic, complemented
13C11×#1535C211yesmaximal, characteristic, complemented
14C11×#1532C211yesmaximal, characteristic, complemented
15C11×#1530C211yesmaximal, characteristic, complemented
16C11×#563—21no—
17C11×#563C2211yescharacteristic
18C11×#562—21no—
19C11×#562—21no—
20C11×#562C2211yescharacteristic
21C11×#562C2211yescharacteristic
22C11×H(3,𝔽4)C2211yescharacteristic
23C11×#560—21no—
24C11×#560—21no—
25C11×#560—21no—
26C11×#533C2211yescharacteristic, complemented
27C11×#532—21no—
28C11×#532C2211yescharacteristic
29C11×#529—21no—
30C11×#529—21no—
31C11×#529C2211yescharacteristic
32C11×#529C2211yescharacteristic
33C11×#525—21no—
34C11×#525—21no—
35C11×#525—21no—
36C11×#501C2211yescharacteristic, complemented
37C11×#501C2211yescharacteristic, complemented
38C11×#501C2211yescharacteristic, complemented
39C11×#497C2211yescharacteristic
40C11×#497C2211yescharacteristic
41C11×#497C2211yescharacteristic, complemented
42C11×#491C2211yescharacteristic, complemented
43C11×#489C2211yescharacteristic
44C11×#489C2211yescharacteristic
45C11×#489C2211yescharacteristic
46C11×#489C2211yescharacteristic
47C11×#489C2211yescharacteristic, complemented
48C11×#485—21no—
49C11×#482—21no—
50C11×#479—21no—
51C11×#478—21no—
52C11×#467—21no—
53C11×#465—21no—
54C11×#462—21no—
55C11×#460—21no—
56C11×#452—21no—
57C11×#452—21no—
58C11×#441—21no—
59C11×#440—21no—
60C11×#432C2211yescharacteristic, complemented
61C11×#432C2211yescharacteristic, complemented
62C2×C11×#97C2211yescharacteristic, complemented
63C11×#330C2211yescharacteristic, complemented
64C11×#330C2211yescharacteristic, complemented
65C11×#330C2211yescharacteristic, complemented
66C11×#330C2211yescharacteristic, complemented
67C11×#329C2211yescharacteristic
68C11×#329C2211yescharacteristic
69C11×#329C2211yescharacteristic
70C11×#329C2211yescharacteristic
71C11×#329C2211yescharacteristic
72C11×#329C2211yescharacteristic
73C11×#329C2211yescharacteristic, complemented
74C11×#329C2211yescharacteristic, complemented
75C2×C11×#41—21no—
76C2×C11×#41D411yescharacteristic
77C2×C11×#41D411yescharacteristic
78C23×C4×C11—21no—
79C2×C11×Q16—21no—
80C2×C11×Q16—21no—
81C2×C11×Q16—21no—
82C2×C11×SD16—21no—
83C2×C11×SD16—21no—
84C2×C11×SD16—21no—
85C22×C8×C11—21no—
86C11×C4⋊Q8—21no—
87C11×C4⋊Q8D411yescharacteristic
88C11×C4⋊Q8C2311yescharacteristic
89C11×C4⋊Q8C2311yescharacteristic
90C11×#127—21no—
91C11×#127D411yescharacteristic
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#126—21no—
97C11×#126—21no—
98C11×#125—21no—
99C11×#125—21no—
100C11×#125—21no—
101C11×#125C2311yescharacteristic
102C11×#125C2311yescharacteristic
103C11×#124—21no—
104C11×#124—21no—
105C11×#124—21no—
106C11×#124—21no—
107C11×#124C2311yescharacteristic
108C11×#124C2311yescharacteristic
109C11×#124C2311yescharacteristic
110C11×#124C2311yescharacteristic
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×#123—21no—
120C11×#123—21no—
121C11×#123—21no—
122C11×#123—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⋊Q8D411yescharacteristic
134C11×C22⋊Q8D411yescharacteristic
135C11×#121—21no—
136C11×#121—21no—
137C11×#121—21no—
138C11×#121—21no—
139C11×#121—21no—
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×#121D411yescharacteristic
150C11×#121D411yescharacteristic
151C11×#120—21no—
152C11×#120—21no—
153C11×#120—21no—
154C11×#120—21no—
155C11×#120—21no—
156C11×#120—21no—
157C4×Q8×C11—21no—
158C4×Q8×C11—21no—
159C4×Q8×C11D411yescharacteristic
160C4×Q8×C11D411yescharacteristic
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×C11—21no—
169C4×D4×C11D411yescharacteristic
170C4×D4×C11D411yescharacteristic
171C11×#117—21no—
172C11×#117—21no—
173C11×#117—21no—
174C11×#117—21no—
175C2×C42×C11—21no—
176C2×C42×C11C2311yescharacteristic
177C11×#107—21no—
178C11×#107—21no—
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×#103—21no—
191C11×#103—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×#97—21no—
200C11×#97C2311yescharacteristic
201C11×#97C2311yescharacteristic
202C11×#97C2311yescharacteristic
203C11×#97C2311yescharacteristic
204C11×#97C2311yescharacteristic
205C11×#97C2311yescharacteristic
206#19011C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C11×#41—81no—
209C11×#41—81no—
210C11×#41—82no—
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×Q8×C11C2×D411yescharacteristic
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—21no—
227C2×D4×C11—21no—
228C2×D4×C11—21no—
229C2×D4×C11—21no—
230C2×D4×C11—21no—
231C2×D4×C11C2×D411yescharacteristic
232C2×D4×C11C2×D411yescharacteristic
233C2×D4×C11C2×D411yescharacteristic
234C2×D4×C11C2×D411yescharacteristic
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—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—82no—
245C22×C4×C11C2×D411yescharacteristic
246C22×C4×C11C2×D411yescharacteristic
247C22×C4×C11C2×D411yescharacteristic
248C11×Q16—42no—
249C11×Q16—81no—
250C11×Q16—81no—
251C11×SD16—42no—
252C11×SD16—81no—
253C11×SD16—81no—
254C2×C8×C11—21no—
255C2×C8×C11—21no—
256C2×C8×C11—21no—
257C2×C8×C11—21no—
258C2×C8×C11—21no—
259C2×C8×C11—21no—
260C2×C8×C11—42no—
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—41no—
282C11×C4⋊C4—41no—
283C11×C4⋊C4C2×D411yescharacteristic
284C11×C4⋊C4C2×D411yescharacteristic
285C11×C4⋊C4C2×D411yescharacteristic
286C11×C4⋊C4C2×D411yescharacteristic
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—21no—
310C11×C22⋊C4—21no—
311C11×C22⋊C4—41no—
312C42×C11—21no—
313C42×C11—21no—
314C42×C11—21no—
315C42×C11—21no—
316C42×C11—41no—
317C42×C11C2×D411yescharacteristic
318C42×C11C2×D411yescharacteristic
319C42×C11C2×D411yescharacteristic
320C42×C11C2411yescharacteristic
321#3529C2×C1111yescharacteristic
322#3240C2×C1111yescharacteristic, complemented
323#3216C2×C1111yescharacteristic, complemented
324#3181C2×C1111yescharacteristic, complemented
325#1664C2×C1111yescharacteristic, complemented
326#1662C2×C1111yescharacteristic, complemented
327#1661C2×C1111yescharacteristic, complemented
328#1661C2×C1111yescharacteristic, complemented
329#1661C2×C1111yescharacteristic, complemented
330#1660C2×C1111yescharacteristic, complemented
331#1659C2×C1111yescharacteristic, complemented
332#1659C2×C1111yescharacteristic, complemented
333#1535C2×C1111yescharacteristic, complemented
334#1532C2×C1111yescharacteristic, complemented
335#1530C2×C1111yescharacteristic, complemented
336C23×C11—21no—
337C23×C11—21no—
338C23×C11—21no—
339C23×C11—21no—
340C23×C11—81no—
341C23×C11—81no—
342C23×C11—81no—
343C23×C11#12011yescharacteristic
344Q8×C11—41no—
345Q8×C11—41no—
346Q8×C11—41no—
347Q8×C11—41no—
348Q8×C11—41no—
349Q8×C11—41no—
350Q8×C11—41no—
351Q8×C11—41no—
352Q8×C11—81no—
353D4×C11—41no—
354D4×C11—41no—
355D4×C11—41no—
356D4×C11—41no—
357D4×C11—81no—
358D4×C11—81no—
359D4×C11—81no—
360D4×C11—81no—
361D4×C11—81no—
362D4×C11—81no—
363D4×C11—81no—
364D4×C11—81no—
365D4×C11—81no—
366D4×C11—81no—
367D4×C11—81no—
368D4×C11—81no—
369D4×C11—81no—
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—42no—
382C2×C4×C11—42no—
383C2×C4×C11—42no—
384C2×C4×C11—42no—
385C2×C4×C11—41no—
386C2×C4×C11—41no—
387C2×C4×C11—81no—
388C2×C4×C11—81no—
389C2×C4×C11—81no—
390C2×C4×C11—81no—
391C2×C4×C11—81no—
392C2×C4×C11#12011yescharacteristic
393C2×C4×C11#12011yescharacteristic
394C2×C4×C11#12011yescharacteristic
395C2×C4×C11C22×D411yescharacteristic
396C2×C4×C11C22×D411yescharacteristic
397C2×C4×C11C22×D411yescharacteristic
398C8×C11—22no—
399C8×C11—41no—
400C8×C11—41no—
401C8×C11—41no—
402C8×C11—41no—
403C8×C11—41no—
404#563—21no—
405#563C22×C1111yescharacteristic
406#562—21no—
407#562—21no—
408#562C22×C1111yescharacteristic
409#562C22×C1111yescharacteristic
410H(3,𝔽4)C22×C1111yescharacteristic
411#560—21no—
412#560—21no—
413#560—21no—
414#533C22×C1111yescharacteristic, complemented
415#532—21no—
416#532C22×C1111yescharacteristic
417#529—21no—
418#529—21no—
419#529C22×C1111yescharacteristic
420#529C22×C1111yescharacteristic
421#525—21no—
422#525—21no—
423#525—21no—
424#501C22×C1111yescharacteristic, complemented
425#501C22×C1111yescharacteristic, complemented
426#501C22×C1111yescharacteristic, complemented
427#497C22×C1111yescharacteristic
428#497C22×C1111yescharacteristic
429#497C22×C1111yescharacteristic, complemented
430#491C22×C1111yescharacteristic, complemented
431#489C22×C1111yescharacteristic
432#489C22×C1111yescharacteristic
433#489C22×C1111yescharacteristic
434#489C22×C1111yescharacteristic
435#489C22×C1111yescharacteristic, complemented
436#485—21no—
437#482—21no—
438#479—21no—
439#478—21no—
440#467—21no—
441#465—21no—
442#462—21no—
443#460—21no—
444#452—21no—
445#452—21no—
446#441—21no—
447#440—21no—
448#432C22×C1111yescharacteristic, complemented
449#432C22×C1111yescharacteristic, complemented
450C2×#97C22×C1111yescharacteristic, complemented
451#330C22×C1111yescharacteristic, complemented
452#330C22×C1111yescharacteristic, complemented
453#330C22×C1111yescharacteristic, complemented
454#330C22×C1111yescharacteristic, complemented
455#329C22×C1111yescharacteristic
456#329C22×C1111yescharacteristic
457#329C22×C1111yescharacteristic
458#329C22×C1111yescharacteristic
459#329C22×C1111yescharacteristic
460#329C22×C1111yescharacteristic
461#329C22×C1111yescharacteristic, complemented
462#329C22×C1111yescharacteristic, complemented
463C22×C11—21no—
464C22×C11—21no—
465C22×C11—21no—
466C22×C11—41no—
467C22×C11—41no—
468C22×C11—41no—
469C22×C11—41no—
470C22×C11—41no—
471C22×C11—41no—
472C22×C11—41no—
473C22×C11—41no—
474C22×C11—41no—
475C22×C11—41no—
476C22×C11—41no—
477C22×C11—41no—
478C22×C11—84no—
479C22×C11C2×#12011yescharacteristic
480C4×C11—21no—
481C4×C11—21no—
482C4×C11—21no—
483C4×C11—21no—
484C4×C11—21no—
485C4×C11—21no—
486C4×C11—41no—
487C4×C11—41no—
488C4×C11—41no—
489C4×C11—41no—
490C4×C11—41no—
491C4×C11—41no—
492C4×C11—41no—
493C4×C11—41no—
494C4×C11—81no—
495C4×C11—81no—
496C2×#41—21no—
497C2×#41D4×C1111yescharacteristic
498C2×#41D4×C1111yescharacteristic
499C23×C4—21no—
500C2×Q16—21no—
501C2×Q16—21no—
502C2×Q16—21no—
503C2×SD16—21no—
504C2×SD16—21no—
505C2×SD16—21no—
506C22×C8—21no—
507C4⋊Q8—21no—
508C4⋊Q8D4×C1111yescharacteristic
509C4⋊Q8C23×C1111yescharacteristic
510C4⋊Q8C23×C1111yescharacteristic
511#127—21no—
512#127D4×C1111yescharacteristic
513#126—21no—
514#126—21no—
515#126—21no—
516#126—21no—
517#126—21no—
518#126—21no—
519#125—21no—
520#125—21no—
521#125—21no—
522#125C23×C1111yescharacteristic
523#125C23×C1111yescharacteristic
524#124—21no—
525#124—21no—
526#124—21no—
527#124—21no—
528#124C23×C1111yescharacteristic
529#124C23×C1111yescharacteristic
530#124C23×C1111yescharacteristic
531#124C23×C1111yescharacteristic
532#123—21no—
533#123—21no—
534#123—21no—
535#123—21no—
536#123—21no—
537#123—21no—
538#123—21no—
539#123—21no—
540#123—21no—
541#123—21no—
542#123—21no—
543#123—21no—
544C22⋊Q8—21no—
545C22⋊Q8—21no—
546C22⋊Q8—21no—
547C22⋊Q8—21no—
548C22⋊Q8—21no—
549C22⋊Q8—21no—
550C22⋊Q8—21no—
551C22⋊Q8—21no—
552C22⋊Q8—21no—
553C22⋊Q8—21no—
554C22⋊Q8D4×C1111yescharacteristic
555C22⋊Q8D4×C1111yescharacteristic
556#121—21no—
557#121—21no—
558#121—21no—
559#121—21no—
560#121—21no—
561#121—21no—
562#121—21no—
563#121—21no—
564#121—21no—
565#121—21no—
566#121—21no—
567#121—21no—
568#121—21no—
569#121—21no—
570#121D4×C1111yescharacteristic
571#121D4×C1111yescharacteristic
572#120—21no—
573#120—21no—
574#120—21no—
575#120—21no—
576#120—21no—
577#120—21no—
578C4×Q8—21no—
579C4×Q8—21no—
580C4×Q8D4×C1111yescharacteristic
581C4×Q8D4×C1111yescharacteristic
582C4×D4—21no—
583C4×D4—21no—
584C4×D4—21no—
585C4×D4—21no—
586C4×D4—21no—
587C4×D4—21no—
588C4×D4—21no—
589C4×D4—21no—
590C4×D4D4×C1111yescharacteristic
591C4×D4D4×C1111yescharacteristic
592#117—21no—
593#117—21no—
594#117—21no—
595#117—21no—
596C2×C42—21no—
597C2×C42C23×C1111yescharacteristic
598#107—21no—
599#107—21no—
600#107—21no—
601#106—21no—
602#106—21no—
603#106—21no—
604C4⋊C8—21no—
605C4⋊C8—21no—
606#103—21no—
607#103—21no—
608#103—21no—
609#103—21no—
610#103—21no—
611#103—21no—
612#103—21no—
613#102—21no—
614#102—21no—
615#102—21no—
616#102—21no—
617#102—21no—
618C22⋊C8—21no—
619C22⋊C8—21no—
620#97—21no—
621#97C23×C1111yescharacteristic
622#97C23×C1111yescharacteristic
623#97C23×C1111yescharacteristic
624#97C23×C1111yescharacteristic
625#97C23×C1111yescharacteristic
626#97C23×C1111yescharacteristic
627C2×C11—41no—
628C2×C11—81no—
629C2×C11—81no—
630C2×C11—81no—
631C2×C11—81no—
632C2×C11#301811yescharacteristic
633C2×C11#301911yescharacteristic
634C2×C11#302211yescharacteristic
635C24—21no—
636#41—81no—
637#41—81no—
638#41—82no—
639C2×Q8—21no—
640C2×Q8—21no—
641C2×Q8—21no—
642C2×Q8C2×D4×C1111yescharacteristic
643C2×Q8C2×D4×C1111yescharacteristic
644C2×Q8C2×D4×C1111yescharacteristic
645C2×Q8C2×D4×C1111yescharacteristic
646C2×D4—21no—
647C2×D4—21no—
648C2×D4—21no—
649C2×D4—21no—
650C2×D4—21no—
651C2×D4—21no—
652C2×D4—21no—
653C2×D4—21no—
654C2×D4—21no—
655C2×D4—21no—
656C2×D4—21no—
657C2×D4—21no—
658C2×D4—21no—
659C2×D4C2×D4×C1111yescharacteristic
660C2×D4C2×D4×C1111yescharacteristic
661C2×D4C2×D4×C1111yescharacteristic
662C2×D4C2×D4×C1111yescharacteristic
663C22×C4—21no—
664C22×C4—21no—
665C22×C4—21no—
666C22×C4—21no—
667C22×C4—21no—
668C22×C4—21no—
669C22×C4—21no—
670C22×C4—21no—
671C22×C4—21no—
672C22×C4—82no—
673C22×C4C2×D4×C1111yescharacteristic
674C22×C4C2×D4×C1111yescharacteristic
675C22×C4C2×D4×C1111yescharacteristic
676Q16—42no—
677Q16—81no—
678Q16—81no—
679SD16—42no—
680SD16—81no—
681SD16—81no—
682C2×C8—21no—
683C2×C8—21no—
684C2×C8—21no—
685C2×C8—21no—
686C2×C8—21no—
687C2×C8—21no—
688C2×C8—42no—
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⋊C4—21no—
702C4⋊C4—21no—
703C4⋊C4—21no—
704C4⋊C4—21no—
705C4⋊C4—21no—
706C4⋊C4—21no—
707C4⋊C4—21no—
708C4⋊C4—21no—
709C4⋊C4—41no—
710C4⋊C4—41no—
711C4⋊C4C2×D4×C1111yescharacteristic
712C4⋊C4C2×D4×C1111yescharacteristic
713C4⋊C4C2×D4×C1111yescharacteristic
714C4⋊C4C2×D4×C1111yescharacteristic
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—21no—
735C22⋊C4—21no—
736C22⋊C4—21no—
737C22⋊C4—21no—
738C22⋊C4—21no—
739C22⋊C4—41no—
740C42—21no—
741C42—21no—
742C42—21no—
743C42—21no—
744C42—41no—
745C42C2×D4×C1111yescharacteristic
746C42C2×D4×C1111yescharacteristic
747C42C2×D4×C1111yescharacteristic
748C42C24×C1111yescharacteristic
749C11#1901111yescharacteristic, direct product factor, Sylow
750C23—21no—
751C23—21no—
752C23—21no—
753C23—21no—
754C23—81no—
755C23—81no—
756C23—81no—
757C23C11×#12011yescharacteristic
758Q8—41no—
759Q8—41no—
760Q8—41no—
761Q8—41no—
762Q8—41no—
763Q8—41no—
764Q8—41no—
765Q8—41no—
766Q8—81no—
767D4—41no—
768D4—41no—
769D4—41no—
770D4—41no—
771D4—81no—
772D4—81no—
773D4—81no—
774D4—81no—
775D4—81no—
776D4—81no—
777D4—81no—
778D4—81no—
779D4—81no—
780D4—81no—
781D4—81no—
782D4—81no—
783D4—81no—
784C2×C4—21no—
785C2×C4—21no—
786C2×C4—21no—
787C2×C4—21no—
788C2×C4—21no—
789C2×C4—21no—
790C2×C4—21no—
791C2×C4—21no—
792C2×C4—41no—
793C2×C4—41no—
794C2×C4—41no—
795C2×C4—42no—
796C2×C4—42no—
797C2×C4—42no—
798C2×C4—42no—
799C2×C4—41no—
800C2×C4—41no—
801C2×C4—81no—
802C2×C4—81no—
803C2×C4—81no—
804C2×C4—81no—
805C2×C4—81no—
806C2×C4C11×#12011yescharacteristic
807C2×C4C11×#12011yescharacteristic
808C2×C4C11×#12011yescharacteristic
809C2×C4C22×D4×C1111yescharacteristic
810C2×C4C22×D4×C1111yescharacteristic
811C2×C4C22×D4×C1111yescharacteristic
812C8—22no—
813C8—41no—
814C8—41no—
815C8—41no—
816C8—41no—
817C8—41no—
818C22—21no—
819C22—21no—
820C22—21no—
821C22—41no—
822C22—41no—
823C22—41no—
824C22—41no—
825C22—41no—
826C22—41no—
827C22—41no—
828C22—41no—
829C22—41no—
830C22—41no—
831C22—41no—
832C22—41no—
833C22—84no—
834C22C2×C11×#12011yescharacteristic
835C4—21no—
836C4—21no—
837C4—21no—
838C4—21no—
839C4—21no—
840C4—21no—
841C4—41no—
842C4—41no—
843C4—41no—
844C4—41no—
845C4—41no—
846C4—41no—
847C4—41no—
848C4—41no—
849C4—81no—
850C4—81no—
851C2—41no—
852C2—81no—
853C2—81no—
854C2—81no—
855C2—81no—
856C2C11×#301811yescharacteristic
857C2C11×#301911yescharacteristic
858C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3529C2
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×#3240C2semidirect
3. C11×#3216C2semidirect
4. C11×#3181C2semidirect
5. C11×#1664C2semidirect
6. C11×#1662C2semidirect
7. C11×#1661C2semidirect
8. C11×#1661C2semidirect
9. C11×#1661C2semidirect
10. C11×#1660C2semidirect
11. C11×#1659C2semidirect
12. C11×#1659C2semidirect
13. C11×#1535C2semidirect
14. C11×#1532C2semidirect
15. C11×#1530C2semidirect
26. C11×#533C22semidirect
36. C11×#501C22semidirect
37. C11×#501C22semidirect
38. C11×#501C22semidirect
41. C11×#497C22semidirect
42. C11×#491C22semidirect
47. C11×#489C22semidirect
60. C11×#432C22semidirect
61. C11×#432C22semidirect
62. C2×C11×#97C22semidirect
63. C11×#330C22semidirect
64. C11×#330C22semidirect
65. C11×#330C22semidirect
66. C11×#330C22semidirect
73. C11×#329C22semidirect
74. C11×#329C22semidirect
206. #19011C11direct (N × H)
322. #3240C2×C11semidirect
323. #3216C2×C11semidirect
324. #3181C2×C11semidirect
325. #1664C2×C11semidirect
326. #1662C2×C11semidirect
327. #1661C2×C11semidirect
328. #1661C2×C11semidirect
329. #1661C2×C11semidirect
330. #1660C2×C11semidirect
331. #1659C2×C11semidirect
332. #1659C2×C11semidirect
333. #1535C2×C11semidirect
334. #1532C2×C11semidirect
335. #1530C2×C11semidirect
414. #533C22×C11semidirect
424. #501C22×C11semidirect
425. #501C22×C11semidirect
426. #501C22×C11semidirect
429. #497C22×C11semidirect
430. #491C22×C11semidirect
435. #489C22×C11semidirect
448. #432C22×C11semidirect
449. #432C22×C11semidirect
450. C2×#97C22×C11semidirect
451. #330C22×C11semidirect
452. #330C22×C11semidirect
453. #330C22×C11semidirect
454. #330C22×C11semidirect
461. #329C22×C11semidirect
462. #329C22×C11semidirect
749. C11#19011direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35292
C11×#32402
C11×#32162
C11×#31812
C11×#16642
C11×#16622
C11×#16612
C11×#16602
C11×#16592
C11×#15352
C11×#15322
C11×#15302
#1901111