Finite Group Databasebeta

← C11×#19012 #14596205

Subgroups — C11×#19012 #14596205

Order 2816.

844 conjugacy classes of subgroups.

The subgroup lattice has 826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3531C211yesmaximal, characteristic, complemented
2C11×#3235C211yesmaximal, characteristic, complemented
3C11×#3219C211yesmaximal, characteristic, complemented
4C11×#3180C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1663C211yesmaximal, characteristic, complemented
7C11×#1661C211yesmaximal, characteristic, complemented
8C11×#1660C211yesmaximal, characteristic, complemented
9C11×#1658C211yesmaximal, characteristic, complemented
10C11×#1657C211yesmaximal, characteristic, complemented
11C11×#1657C211yesmaximal, characteristic, complemented
12C11×#1656C211yesmaximal, characteristic, complemented
13C11×#1535C211yesmaximal, characteristic, complemented
14C11×#1532C211yesmaximal, characteristic, complemented
15C11×#1531C211yesmaximal, characteristic, complemented
16C11×#564C2211yescharacteristic
17C11×#563—21no—
18C11×#563—21no—
19C11×#563—21no—
20C11×#563—21no—
21C11×#563C2211yescharacteristic
22C11×#563C2211yescharacteristic
23C11×#562—21no—
24C11×#562—21no—
25C11×#562C2211yescharacteristic
26C11×#533—21no—
27C11×#533—21no—
28C11×#533C2211yescharacteristic
29C11×#532C2211yescharacteristic
30C11×#529—21no—
31C11×#529—21no—
32C11×#529—21no—
33C11×#529—21no—
34C11×#529C2211yescharacteristic
35C11×#529C2211yescharacteristic
36C11×#501C2211yescharacteristic
37C11×#501C2211yescharacteristic
38C11×#501C2211yescharacteristic
39C11×#497C2211yescharacteristic
40C11×#496C2211yescharacteristic
41C11×#496C2211yescharacteristic
42C11×#491C2211yescharacteristic
43C11×#490C2211yescharacteristic
44C11×#490C2211yescharacteristic
45C11×#490C2211yescharacteristic
46C11×#490C2211yescharacteristic
47C11×#489C2211yescharacteristic
48C11×#482—21no—
49C11×#482—21no—
50C11×#476—21no—
51C11×#474—21no—
52C11×#466—21no—
53C11×#465—21no—
54C11×#464—21no—
55C11×#463—21no—
56C11×#452—21no—
57C11×#449—21no—
58C11×#442—21no—
59C11×#440—21no—
60C11×#432C2211yescharacteristic
61C11×#432C2211yescharacteristic
62C2×C11×#97C2211yescharacteristic
63C11×#330C2211yescharacteristic
64C11×#330C2211yescharacteristic
65C11×#330C2211yescharacteristic
66C11×#330C2211yescharacteristic
67C11×#330C2211yescharacteristic
68C11×#330C2211yescharacteristic
69C11×#330C2211yescharacteristic
70C11×#330C2211yescharacteristic
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×D8—21no—
81C2×C11×D8—21no—
82C22×C8×C11—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8—21no—
85C11×C4⋊Q8—21no—
86C11×C4⋊Q8—21no—
87C11×C4⋊Q8D411yescharacteristic
88C11×C4⋊Q8D411yescharacteristic
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×#125—21no—
102C11×#125—21no—
103C11×#125—21no—
104C11×#125—21no—
105C11×#125—21no—
106C11×#125—21no—
107C11×#125—21no—
108C11×#125—21no—
109C11×#125C2311yescharacteristic
110C11×#125C2311yescharacteristic
111C11×#125C2311yescharacteristic
112C11×#125C2311yescharacteristic
113C11×#124—21no—
114C11×#124—21no—
115C11×#124—21no—
116C11×#124—21no—
117C11×#124—21no—
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×#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⋊Q8—21no—
139C11×C22⋊Q8—21no—
140C11×C22⋊Q8—21no—
141C11×C22⋊Q8—21no—
142C11×C22⋊Q8—21no—
143C11×C22⋊Q8—21no—
144C11×C22⋊Q8D411yescharacteristic
145C11×C22⋊Q8D411yescharacteristic
146C11×#121—21no—
147C11×#121—21no—
148C11×#121—21no—
149C11×#121—21no—
150C11×#121—21no—
151C11×#121—21no—
152C11×#121D411yescharacteristic
153C11×#121D411yescharacteristic
154C4×Q8×C11—21no—
155C4×Q8×C11—21no—
156C4×Q8×C11—21no—
157C4×Q8×C11—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×C11D411yescharacteristic
167C4×D4×C11D411yescharacteristic
168C11×#117—21no—
169C11×#117—21no—
170C11×#117—21no—
171C11×#117—21no—
172C11×#117D411yescharacteristic
173C11×#117D411yescharacteristic
174C2×C42×C11—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×#102—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×C22⋊C8—21no—
199C11×#97—21no—
200C11×#97C2311yescharacteristic
201C11×#97C2311yescharacteristic
202C11×#97C2311yescharacteristic
203C11×#97C2311yescharacteristic
204C11×#97C2311yescharacteristic
205C11×#97C2311yescharacteristic
206#19012C1111yesmaximal, characteristic, direct product factor, Sylow
207C11×#41—81no—
208C11×#41—81no—
209C2×Q8×C11—21no—
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×D4×C11—21no—
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—41no—
224C2×D4×C11C2×D411yescharacteristic
225C2×D4×C11C2×D411yescharacteristic
226C22×C4×C11—21no—
227C22×C4×C11—21no—
228C22×C4×C11—21no—
229C22×C4×C11—21no—
230C22×C4×C11—21no—
231C22×C4×C11—21no—
232C22×C4×C11—41no—
233C22×C4×C11C2×D411yescharacteristic
234C22×C4×C11C2×D411yescharacteristic
235C22×C4×C11C2×D411yescharacteristic
236C11×Q16—81no—
237C11×SD16—42no—
238C11×SD16—81no—
239C11×SD16—81no—
240C11×D8—42no—
241C11×D8—81no—
242C2×C8×C11—21no—
243C2×C8×C11—21no—
244C2×C8×C11—21no—
245C2×C8×C11—21no—
246C2×C8×C11—21no—
247C2×C8×C11—21no—
248C2×C8×C11—42no—
249C11×C4⋊C4—21no—
250C11×C4⋊C4—21no—
251C11×C4⋊C4—21no—
252C11×C4⋊C4—21no—
253C11×C4⋊C4—21no—
254C11×C4⋊C4—21no—
255C11×C4⋊C4—21no—
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⋊C4—21no—
277C11×C4⋊C4C2×D411yescharacteristic
278C11×C4⋊C4C2×D411yescharacteristic
279C11×C4⋊C4C2×D411yescharacteristic
280C11×C4⋊C4C2×D411yescharacteristic
281C11×C4⋊C4C2×D411yescharacteristic
282C11×C4⋊C4C2×D411yescharacteristic
283C11×C4⋊C4C2×D411yescharacteristic
284C11×C4⋊C4C2×D411yescharacteristic
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—41no—
306C11×C22⋊C4—41no—
307C42×C11—21no—
308C42×C11—21no—
309C42×C11—21no—
310C42×C11—21no—
311C42×C11—21no—
312C42×C11—21no—
313C42×C11—21no—
314C42×C11—21no—
315C42×C11C2×D411yescharacteristic
316C42×C11C2×D411yescharacteristic
317C42×C11C2×D411yescharacteristic
318C42×C11C2411yescharacteristic
319#3531C2×C1111yescharacteristic, complemented
320#3235C2×C1111yescharacteristic, complemented
321#3219C2×C1111yescharacteristic, complemented
322#3180C2×C1111yescharacteristic, complemented
323#1664C2×C1111yescharacteristic, complemented
324#1663C2×C1111yescharacteristic, complemented
325#1661C2×C1111yescharacteristic, complemented
326#1660C2×C1111yescharacteristic, complemented
327#1658C2×C1111yescharacteristic, complemented
328#1657C2×C1111yescharacteristic, complemented
329#1657C2×C1111yescharacteristic, complemented
330#1656C2×C1111yescharacteristic, complemented
331#1535C2×C1111yescharacteristic, complemented
332#1532C2×C1111yescharacteristic, complemented
333#1531C2×C1111yescharacteristic, complemented
334C23×C11—21no—
335C23×C11—21no—
336C23×C11—41no—
337C23×C11#12011yescharacteristic
338Q8×C11—41no—
339Q8×C11—41no—
340Q8×C11—41no—
341Q8×C11—41no—
342Q8×C11—81no—
343Q8×C11—81no—
344Q8×C11—81no—
345Q8×C11—81no—
346D4×C11—41no—
347D4×C11—41no—
348D4×C11—41no—
349D4×C11—41no—
350D4×C11—41no—
351D4×C11—41no—
352D4×C11—42no—
353D4×C11—81no—
354D4×C11—81no—
355D4×C11—81no—
356D4×C11—81no—
357D4×C11—82no—
358C2×C4×C11—21no—
359C2×C4×C11—21no—
360C2×C4×C11—21no—
361C2×C4×C11—21no—
362C2×C4×C11—21no—
363C2×C4×C11—21no—
364C2×C4×C11—21no—
365C2×C4×C11—21no—
366C2×C4×C11—21no—
367C2×C4×C11—21no—
368C2×C4×C11—41no—
369C2×C4×C11—41no—
370C2×C4×C11—41no—
371C2×C4×C11—42no—
372C2×C4×C11—42no—
373C2×C4×C11—41no—
374C2×C4×C11—82no—
375C2×C4×C11—81no—
376C2×C4×C11—81no—
377C2×C4×C11—81no—
378C2×C4×C11—81no—
379C2×C4×C11#12011yescharacteristic
380C2×C4×C11#12011yescharacteristic
381C2×C4×C11#12011yescharacteristic
382C2×C4×C11C22×D411yescharacteristic
383C2×C4×C11C22×D411yescharacteristic
384C2×C4×C11C22×D411yescharacteristic
385C8×C11—22no—
386C8×C11—41no—
387C8×C11—41no—
388C8×C11—41no—
389C8×C11—41no—
390C8×C11—41no—
391#564C22×C1111yescharacteristic
392#563—21no—
393#563—21no—
394#563—21no—
395#563—21no—
396#563C22×C1111yescharacteristic
397#563C22×C1111yescharacteristic
398#562—21no—
399#562—21no—
400#562C22×C1111yescharacteristic
401#533—21no—
402#533—21no—
403#533C22×C1111yescharacteristic
404#532C22×C1111yescharacteristic
405#529—21no—
406#529—21no—
407#529—21no—
408#529—21no—
409#529C22×C1111yescharacteristic
410#529C22×C1111yescharacteristic
411#501C22×C1111yescharacteristic
412#501C22×C1111yescharacteristic
413#501C22×C1111yescharacteristic
414#497C22×C1111yescharacteristic
415#496C22×C1111yescharacteristic
416#496C22×C1111yescharacteristic
417#491C22×C1111yescharacteristic
418#490C22×C1111yescharacteristic
419#490C22×C1111yescharacteristic
420#490C22×C1111yescharacteristic
421#490C22×C1111yescharacteristic
422#489C22×C1111yescharacteristic
423#482—21no—
424#482—21no—
425#476—21no—
426#474—21no—
427#466—21no—
428#465—21no—
429#464—21no—
430#463—21no—
431#452—21no—
432#449—21no—
433#442—21no—
434#440—21no—
435#432C22×C1111yescharacteristic
436#432C22×C1111yescharacteristic
437C2×#97C22×C1111yescharacteristic
438#330C22×C1111yescharacteristic
439#330C22×C1111yescharacteristic
440#330C22×C1111yescharacteristic
441#330C22×C1111yescharacteristic
442#330C22×C1111yescharacteristic
443#330C22×C1111yescharacteristic
444#330C22×C1111yescharacteristic
445#330C22×C1111yescharacteristic
446#329C22×C1111yescharacteristic
447#329C22×C1111yescharacteristic
448#329C22×C1111yescharacteristic
449#329C22×C1111yescharacteristic
450C22×C11—21no—
451C22×C11—21no—
452C22×C11—21no—
453C22×C11—41no—
454C22×C11—41no—
455C22×C11—41no—
456C22×C11—41no—
457C22×C11—41no—
458C22×C11—41no—
459C22×C11—81no—
460C22×C11—81no—
461C22×C11—81no—
462C22×C11C2×#12011yescharacteristic
463C4×C11—21no—
464C4×C11—21no—
465C4×C11—21no—
466C4×C11—21no—
467C4×C11—21no—
468C4×C11—21no—
469C4×C11—41no—
470C4×C11—41no—
471C4×C11—41no—
472C4×C11—41no—
473C4×C11—41no—
474C4×C11—41no—
475C4×C11—41no—
476C4×C11—41no—
477C4×C11—41no—
478C4×C11—41no—
479C4×C11—81no—
480C2×#41—21no—
481C2×Q16—21no—
482C2×SD16—21no—
483C2×SD16—21no—
484C2×SD16—21no—
485C2×D8—21no—
486C2×D8—21no—
487C22×C8—21no—
488C4⋊Q8—21no—
489C4⋊Q8—21no—
490C4⋊Q8—21no—
491C4⋊Q8—21no—
492C4⋊Q8D4×C1111yescharacteristic
493C4⋊Q8D4×C1111yescharacteristic
494C4⋊Q8C23×C1111yescharacteristic
495#127C23×C1111yescharacteristic
496#126—21no—
497#126—21no—
498#126—21no—
499#126—21no—
500#126—21no—
501#126—21no—
502#126—21no—
503#126—21no—
504#126—21no—
505#126—21no—
506#125—21no—
507#125—21no—
508#125—21no—
509#125—21no—
510#125—21no—
511#125—21no—
512#125—21no—
513#125—21no—
514#125C23×C1111yescharacteristic
515#125C23×C1111yescharacteristic
516#125C23×C1111yescharacteristic
517#125C23×C1111yescharacteristic
518#124—21no—
519#124—21no—
520#124—21no—
521#124—21no—
522#124—21no—
523#124C23×C1111yescharacteristic
524#124C23×C1111yescharacteristic
525#123—21no—
526#123—21no—
527#123—21no—
528#123—21no—
529#123—21no—
530#123—21no—
531#123—21no—
532#123—21no—
533#123—21no—
534#123—21no—
535C22⋊Q8—21no—
536C22⋊Q8—21no—
537C22⋊Q8—21no—
538C22⋊Q8—21no—
539C22⋊Q8—21no—
540C22⋊Q8—21no—
541C22⋊Q8—21no—
542C22⋊Q8—21no—
543C22⋊Q8—21no—
544C22⋊Q8—21no—
545C22⋊Q8—21no—
546C22⋊Q8—21no—
547C22⋊Q8—21no—
548C22⋊Q8—21no—
549C22⋊Q8D4×C1111yescharacteristic
550C22⋊Q8D4×C1111yescharacteristic
551#121—21no—
552#121—21no—
553#121—21no—
554#121—21no—
555#121—21no—
556#121—21no—
557#121D4×C1111yescharacteristic
558#121D4×C1111yescharacteristic
559C4×Q8—21no—
560C4×Q8—21no—
561C4×Q8—21no—
562C4×Q8—21no—
563C4×Q8D4×C1111yescharacteristic
564C4×Q8D4×C1111yescharacteristic
565C4×D4—21no—
566C4×D4—21no—
567C4×D4—21no—
568C4×D4—21no—
569C4×D4—21no—
570C4×D4—21no—
571C4×D4D4×C1111yescharacteristic
572C4×D4D4×C1111yescharacteristic
573#117—21no—
574#117—21no—
575#117—21no—
576#117—21no—
577#117D4×C1111yescharacteristic
578#117D4×C1111yescharacteristic
579C2×C42—21no—
580C2×C42—21no—
581C2×C42C23×C1111yescharacteristic
582#107—21no—
583#107—21no—
584#107—21no—
585#106—21no—
586#106—21no—
587#106—21no—
588C4⋊C8—21no—
589C4⋊C8—21no—
590#103—21no—
591#103—21no—
592#103—21no—
593#102—21no—
594#102—21no—
595#102—21no—
596#102—21no—
597#102—21no—
598#102—21no—
599#102—21no—
600#102—21no—
601#102—21no—
602C22⋊C8—21no—
603C22⋊C8—21no—
604#97—21no—
605#97C23×C1111yescharacteristic
606#97C23×C1111yescharacteristic
607#97C23×C1111yescharacteristic
608#97C23×C1111yescharacteristic
609#97C23×C1111yescharacteristic
610#97C23×C1111yescharacteristic
611C2×C11—41no—
612C2×C11—81no—
613C2×C11—81no—
614C2×C11—161no—
615C2×C11#301811yescharacteristic
616C2×C11#302011yescharacteristic
617C2×C11#302111yescharacteristic
618#41—81no—
619#41—81no—
620C2×Q8—21no—
621C2×Q8—21no—
622C2×Q8—21no—
623C2×Q8—21no—
624C2×Q8—21no—
625C2×Q8C2×D4×C1111yescharacteristic
626C2×Q8C2×D4×C1111yescharacteristic
627C2×D4—21no—
628C2×D4—21no—
629C2×D4—21no—
630C2×D4—21no—
631C2×D4—21no—
632C2×D4—21no—
633C2×D4—21no—
634C2×D4—41no—
635C2×D4C2×D4×C1111yescharacteristic
636C2×D4C2×D4×C1111yescharacteristic
637C22×C4—21no—
638C22×C4—21no—
639C22×C4—21no—
640C22×C4—21no—
641C22×C4—21no—
642C22×C4—21no—
643C22×C4—41no—
644C22×C4C2×D4×C1111yescharacteristic
645C22×C4C2×D4×C1111yescharacteristic
646C22×C4C2×D4×C1111yescharacteristic
647Q16—81no—
648SD16—42no—
649SD16—81no—
650SD16—81no—
651D8—42no—
652D8—81no—
653C2×C8—21no—
654C2×C8—21no—
655C2×C8—21no—
656C2×C8—21no—
657C2×C8—21no—
658C2×C8—21no—
659C2×C8—42no—
660C4⋊C4—21no—
661C4⋊C4—21no—
662C4⋊C4—21no—
663C4⋊C4—21no—
664C4⋊C4—21no—
665C4⋊C4—21no—
666C4⋊C4—21no—
667C4⋊C4—21no—
668C4⋊C4—21no—
669C4⋊C4—21no—
670C4⋊C4—21no—
671C4⋊C4—21no—
672C4⋊C4—21no—
673C4⋊C4—21no—
674C4⋊C4—21no—
675C4⋊C4—21no—
676C4⋊C4—21no—
677C4⋊C4—21no—
678C4⋊C4—21no—
679C4⋊C4—21no—
680C4⋊C4—21no—
681C4⋊C4—21no—
682C4⋊C4—21no—
683C4⋊C4—21no—
684C4⋊C4—21no—
685C4⋊C4—21no—
686C4⋊C4—21no—
687C4⋊C4—21no—
688C4⋊C4C2×D4×C1111yescharacteristic
689C4⋊C4C2×D4×C1111yescharacteristic
690C4⋊C4C2×D4×C1111yescharacteristic
691C4⋊C4C2×D4×C1111yescharacteristic
692C4⋊C4C2×D4×C1111yescharacteristic
693C4⋊C4C2×D4×C1111yescharacteristic
694C4⋊C4C2×D4×C1111yescharacteristic
695C4⋊C4C2×D4×C1111yescharacteristic
696C22⋊C4—21no—
697C22⋊C4—21no—
698C22⋊C4—21no—
699C22⋊C4—21no—
700C22⋊C4—21no—
701C22⋊C4—21no—
702C22⋊C4—21no—
703C22⋊C4—21no—
704C22⋊C4—21no—
705C22⋊C4—21no—
706C22⋊C4—21no—
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—41no—
717C22⋊C4—41no—
718C42—21no—
719C42—21no—
720C42—21no—
721C42—21no—
722C42—21no—
723C42—21no—
724C42—21no—
725C42—21no—
726C42C2×D4×C1111yescharacteristic
727C42C2×D4×C1111yescharacteristic
728C42C2×D4×C1111yescharacteristic
729C42C24×C1111yescharacteristic
730C11#1901211yescharacteristic, direct product factor, Sylow
731C23—21no—
732C23—21no—
733C23—41no—
734C23C11×#12011yescharacteristic
735Q8—41no—
736Q8—41no—
737Q8—41no—
738Q8—41no—
739Q8—81no—
740Q8—81no—
741Q8—81no—
742Q8—81no—
743D4—41no—
744D4—41no—
745D4—41no—
746D4—41no—
747D4—41no—
748D4—41no—
749D4—42no—
750D4—81no—
751D4—81no—
752D4—81no—
753D4—81no—
754D4—82no—
755C2×C4—21no—
756C2×C4—21no—
757C2×C4—21no—
758C2×C4—21no—
759C2×C4—21no—
760C2×C4—21no—
761C2×C4—21no—
762C2×C4—21no—
763C2×C4—21no—
764C2×C4—21no—
765C2×C4—41no—
766C2×C4—41no—
767C2×C4—41no—
768C2×C4—42no—
769C2×C4—42no—
770C2×C4—41no—
771C2×C4—82no—
772C2×C4—81no—
773C2×C4—81no—
774C2×C4—81no—
775C2×C4—81no—
776C2×C4C11×#12011yescharacteristic
777C2×C4C11×#12011yescharacteristic
778C2×C4C11×#12011yescharacteristic
779C2×C4C22×D4×C1111yescharacteristic
780C2×C4C22×D4×C1111yescharacteristic
781C2×C4C22×D4×C1111yescharacteristic
782C8—22no—
783C8—41no—
784C8—41no—
785C8—41no—
786C8—41no—
787C8—41no—
788C22—21no—
789C22—21no—
790C22—21no—
791C22—41no—
792C22—41no—
793C22—41no—
794C22—41no—
795C22—41no—
796C22—41no—
797C22—81no—
798C22—81no—
799C22—81no—
800C22C2×C11×#12011yescharacteristic
801C4—21no—
802C4—21no—
803C4—21no—
804C4—21no—
805C4—21no—
806C4—21no—
807C4—41no—
808C4—41no—
809C4—41no—
810C4—41no—
811C4—41no—
812C4—41no—
813C4—41no—
814C4—41no—
815C4—41no—
816C4—41no—
817C4—81no—
818C2—41no—
819C2—81no—
820C2—81no—
821C2—161no—
822C2C11×#301811yescharacteristic
823C2C11×#302011yescharacteristic
824C2C11×#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×#3531C2semidirect
2. C11×#3235C2semidirect
3. C11×#3219C2semidirect
4. C11×#3180C2semidirect
5. C11×#1664C2semidirect
6. C11×#1663C2semidirect
7. C11×#1661C2semidirect
8. C11×#1660C2semidirect
9. C11×#1658C2semidirect
10. C11×#1657C2semidirect
11. C11×#1657C2semidirect
12. C11×#1656C2semidirect
13. C11×#1535C2semidirect
14. C11×#1532C2semidirect
15. C11×#1531C2semidirect
206. #19012C11direct (N × H)
319. #3531C2×C11semidirect
320. #3235C2×C11semidirect
321. #3219C2×C11semidirect
322. #3180C2×C11semidirect
323. #1664C2×C11semidirect
324. #1663C2×C11semidirect
325. #1661C2×C11semidirect
326. #1660C2×C11semidirect
327. #1658C2×C11semidirect
328. #1657C2×C11semidirect
329. #1657C2×C11semidirect
330. #1656C2×C11semidirect
331. #1535C2×C11semidirect
332. #1532C2×C11semidirect
333. #1531C2×C11semidirect
730. C11#19012direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35312
C11×#32352
C11×#32192
C11×#31802
C11×#16642
C11×#16632
C11×#16612
C11×#16602
C11×#16582
C11×#16572
C11×#16562
C11×#15352
C11×#15322
C11×#15312
#1901211