Finite Group Databasebeta

← C11×#19039 #14596232

Subgroups — C11×#19039 #14596232

Order 2816.

842 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3568C211yesmaximal, characteristic
2C11×#3240C211yesmaximal, characteristic, complemented
3C11×#3181C211yesmaximal, characteristic, complemented
4C11×#3172C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1664C211yesmaximal, characteristic, complemented
7C11×#1664C211yesmaximal, characteristic, complemented
8C11×#1664C211yesmaximal, characteristic, complemented
9C11×#1660C211yesmaximal, characteristic, complemented
10C11×#1660C211yesmaximal, characteristic, complemented
11C11×#1659C211yesmaximal, characteristic, complemented
12C11×#1659C211yesmaximal, 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×#533C2211yescharacteristic, complemented
33C11×#529C2211yescharacteristic
34C11×#529C2211yescharacteristic
35C11×#529C2211yescharacteristic
36C11×#501C2211yescharacteristic, complemented
37C11×#501C2211yescharacteristic, complemented
38C11×#501C2211yescharacteristic, complemented
39C11×#501C2211yescharacteristic, complemented
40C11×#497C2211yescharacteristic
41C11×#497C2211yescharacteristic
42C11×#491C2211yescharacteristic, complemented
43C11×#491C2211yescharacteristic, complemented
44C11×#489C2211yescharacteristic
45C11×#489C2211yescharacteristic
46C11×#489C2211yescharacteristic
47C11×#489C2211yescharacteristic
48C11×#485—21no—
49C11×#482—21no—
50C11×#479—21no—
51C11×#478—21no—
52C11×#470—21no—
53C11×#468—21no—
54C11×#467—21no—
55C11×#465—21no—
56C11×#441—21no—
57C11×#440—21no—
58C4×C11×Q16—21no—
59C4×C11×SD16—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×Q16—21no—
76C2×C11×Q16—21no—
77C2×C11×SD16—21no—
78C2×C11×SD16—21no—
79C2×C11×M16—21no—
80C22×C8×C11—21no—
81C11×C4⋊Q8—21no—
82C11×C4⋊Q8—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8C2311yescharacteristic
85C11×C4⋊Q8C2311yescharacteristic
86C11×#126—21no—
87C11×#126—21no—
88C11×#126—21no—
89C11×#126—21no—
90C11×#126—21no—
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×#125—21no—
100C11×#125C2311yescharacteristic
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×#124C2311yescharacteristic
113C11×#124C2311yescharacteristic
114C11×#124C2311yescharacteristic
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×#123—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⋊Q8D411yescharacteristic
136C11×C22⋊Q8D411yescharacteristic
137C11×C22⋊Q8D411yescharacteristic
138C11×#121—21no—
139C11×#121—21no—
140C11×#121—21no—
141C11×#121D411yescharacteristic
142C11×#121D411yescharacteristic
143C11×#121D411yescharacteristic
144C11×#120—21no—
145C11×#120—21no—
146C11×#120—21no—
147C11×#120—21no—
148C4×Q8×C11—21no—
149C4×Q8×C11—21no—
150C4×Q8×C11—21no—
151C4×Q8×C11—21no—
152C4×Q8×C11—21no—
153C4×Q8×C11D411yescharacteristic
154C4×Q8×C11D411yescharacteristic
155C4×Q8×C11D411yescharacteristic
156C4×D4×C11—21no—
157C4×D4×C11—21no—
158C4×D4×C11—21no—
159C4×D4×C11—21no—
160C4×D4×C11—21no—
161C4×D4×C11—21no—
162C4×D4×C11D411yescharacteristic
163C4×D4×C11D411yescharacteristic
164C4×D4×C11D411yescharacteristic
165C11×#117—21no—
166C11×#117—21no—
167C11×#117—21no—
168C11×#117—21no—
169C11×#117—21no—
170C11×#117—21no—
171C11×#117—21no—
172C2×C11×C22⋊C4—21no—
173C2×C11×C22⋊C4—21no—
174C2×C11×C22⋊C4—21no—
175C2×C42×C11C2311yescharacteristic
176C11×#107—21no—
177C11×#107—21no—
178C11×#107—21no—
179C11×#107—21no—
180C11×#106—21no—
181C11×#106—21no—
182C11×#106—21no—
183C11×#106—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×#103—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#19039C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C2×Q8×C11—21no—
209C2×Q8×C11—21no—
210C2×Q8×C11—21no—
211C2×Q8×C11—21no—
212C2×Q8×C11—21no—
213C2×Q8×C11C2×D411yescharacteristic
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×C11C2×D411yescharacteristic
223C2×D4×C11C2×D411yescharacteristic
224C2×D4×C11C2×D411yescharacteristic
225C22×C4×C11—21no—
226C22×C4×C11—21no—
227C22×C4×C11—21no—
228C22×C4×C11—21no—
229C22×C4×C11—21no—
230C22×C4×C11—21no—
231C22×C4×C11C2×D411yescharacteristic
232C22×C4×C11C2×D411yescharacteristic
233C22×C4×C11C2×D411yescharacteristic
234C11×Q16—42no—
235C11×Q16—42no—
236C11×SD16—42no—
237C11×SD16—42no—
238C11×M16—42no—
239C2×C8×C11—21no—
240C2×C8×C11—21no—
241C2×C8×C11—21no—
242C2×C8×C11—21no—
243C2×C8×C11—21no—
244C2×C8×C11—21no—
245C2×C8×C11—42no—
246C11×C4⋊C4—21no—
247C11×C4⋊C4—21no—
248C11×C4⋊C4—21no—
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—41no—
269C11×C4⋊C4—41no—
270C11×C4⋊C4C2×D411yescharacteristic
271C11×C4⋊C4C2×D411yescharacteristic
272C11×C4⋊C4C2×D411yescharacteristic
273C11×C4⋊C4C2×D411yescharacteristic
274C11×C4⋊C4C2×D411yescharacteristic
275C11×C4⋊C4C2×D411yescharacteristic
276C11×C22⋊C4—21no—
277C11×C22⋊C4—21no—
278C11×C22⋊C4—21no—
279C11×C22⋊C4—21no—
280C11×C22⋊C4—21no—
281C11×C22⋊C4—21no—
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—41no—
304C42×C11—21no—
305C42×C11—21no—
306C42×C11—21no—
307C42×C11—21no—
308C42×C11—21no—
309C42×C11—21no—
310C42×C11—21no—
311C42×C11—41no—
312C42×C11C2×D411yescharacteristic
313C42×C11C2×D411yescharacteristic
314C42×C11C2×D411yescharacteristic
315C42×C11C2411yescharacteristic
316#3568C2×C1111yescharacteristic
317#3240C2×C1111yescharacteristic, complemented
318#3181C2×C1111yescharacteristic, complemented
319#3172C2×C1111yescharacteristic, complemented
320#1664C2×C1111yescharacteristic, complemented
321#1664C2×C1111yescharacteristic, complemented
322#1664C2×C1111yescharacteristic, complemented
323#1664C2×C1111yescharacteristic, complemented
324#1660C2×C1111yescharacteristic, complemented
325#1660C2×C1111yescharacteristic, complemented
326#1659C2×C1111yescharacteristic, complemented
327#1659C2×C1111yescharacteristic, complemented
328#1532C2×C1111yescharacteristic, complemented
329#1529C2×C1111yescharacteristic, complemented
330#1524C2×C1111yescharacteristic, complemented
331C23×C11—21no—
332C23×C11—21no—
333C23×C11—21no—
334C23×C11—81no—
335C23×C11—81no—
336C23×C11—81no—
337C23×C11#12011yescharacteristic
338Q8×C11—41no—
339Q8×C11—41no—
340Q8×C11—41no—
341Q8×C11—41no—
342Q8×C11—41no—
343Q8×C11—41no—
344Q8×C11—41no—
345Q8×C11—81no—
346Q8×C11—81no—
347Q8×C11—81no—
348D4×C11—41no—
349D4×C11—41no—
350D4×C11—41no—
351D4×C11—81no—
352D4×C11—81no—
353D4×C11—81no—
354D4×C11—81no—
355D4×C11—81no—
356D4×C11—81no—
357C2×C4×C11—21no—
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—41no—
367C2×C4×C11—41no—
368C2×C4×C11—41no—
369C2×C4×C11—41no—
370C2×C4×C11—41no—
371C2×C4×C11—81no—
372C2×C4×C11—81no—
373C2×C4×C11—81no—
374C2×C4×C11—81no—
375C2×C4×C11—81no—
376C2×C4×C11—81no—
377C2×C4×C11#12011yescharacteristic
378C2×C4×C11#12011yescharacteristic
379C2×C4×C11#12011yescharacteristic
380C2×C4×C11C22×D411yescharacteristic
381C2×C4×C11C22×D411yescharacteristic
382C2×C4×C11C22×D411yescharacteristic
383C8×C11—22no—
384C8×C11—22no—
385C8×C11—41no—
386C8×C11—41no—
387C8×C11—41no—
388C8×C11—41no—
389#563C22×C1111yescharacteristic
390#563C22×C1111yescharacteristic
391#563C22×C1111yescharacteristic
392H(3,𝔽4)C22×C1111yescharacteristic
393#556—21no—
394#556—21no—
395#556—21no—
396#551—21no—
397#551—21no—
398#551—21no—
399#542—21no—
400#542—21no—
401#542—21no—
402#538—21no—
403#538—21no—
404#538—21no—
405#533C22×C1111yescharacteristic, complemented
406#529C22×C1111yescharacteristic
407#529C22×C1111yescharacteristic
408#529C22×C1111yescharacteristic
409#501C22×C1111yescharacteristic, complemented
410#501C22×C1111yescharacteristic, complemented
411#501C22×C1111yescharacteristic, complemented
412#501C22×C1111yescharacteristic, complemented
413#497C22×C1111yescharacteristic
414#497C22×C1111yescharacteristic
415#491C22×C1111yescharacteristic, complemented
416#491C22×C1111yescharacteristic, complemented
417#489C22×C1111yescharacteristic
418#489C22×C1111yescharacteristic
419#489C22×C1111yescharacteristic
420#489C22×C1111yescharacteristic
421#485—21no—
422#482—21no—
423#479—21no—
424#478—21no—
425#470—21no—
426#468—21no—
427#467—21no—
428#465—21no—
429#441—21no—
430#440—21no—
431C4×Q16—21no—
432C4×SD16—21no—
433#432C22×C1111yescharacteristic, complemented
434C4×M16C22×C1111yescharacteristic, complemented
435C2×#97C22×C1111yescharacteristic, complemented
436#330C22×C1111yescharacteristic, complemented
437#330C22×C1111yescharacteristic, complemented
438#330C22×C1111yescharacteristic, complemented
439#330C22×C1111yescharacteristic, complemented
440#330C22×C1111yescharacteristic, complemented
441#330C22×C1111yescharacteristic, complemented
442#329C22×C1111yescharacteristic
443#329C22×C1111yescharacteristic
444#329C22×C1111yescharacteristic
445#329C22×C1111yescharacteristic
446#329C22×C1111yescharacteristic
447#329C22×C1111yescharacteristic
448C22×C11—21no—
449C22×C11—21no—
450C22×C11—21no—
451C22×C11—41no—
452C22×C11—41no—
453C22×C11—41no—
454C22×C11—41no—
455C22×C11—41no—
456C22×C11—41no—
457C22×C11—41no—
458C22×C11—41no—
459C22×C11—41no—
460C22×C11—162no—
461C22×C11C2×#12011yescharacteristic
462C4×C11—21no—
463C4×C11—21no—
464C4×C11—21no—
465C4×C11—21no—
466C4×C11—21no—
467C4×C11—21no—
468C4×C11—41no—
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—81no—
478C4×C11—81no—
479C2×Q16—21no—
480C2×Q16—21no—
481C2×SD16—21no—
482C2×SD16—21no—
483C2×M16—21no—
484C22×C8—21no—
485C4⋊Q8—21no—
486C4⋊Q8—21no—
487C4⋊Q8—21no—
488C4⋊Q8C23×C1111yescharacteristic
489C4⋊Q8C23×C1111yescharacteristic
490#126—21no—
491#126—21no—
492#126—21no—
493#126—21no—
494#126—21no—
495#126—21no—
496#126—21no—
497#126—21no—
498#126—21no—
499#126—21no—
500#126—21no—
501#126—21no—
502#126—21no—
503#125—21no—
504#125C23×C1111yescharacteristic
505#125C23×C1111yescharacteristic
506#125C23×C1111yescharacteristic
507#124—21no—
508#124—21no—
509#124—21no—
510#124—21no—
511#124—21no—
512#124—21no—
513#124—21no—
514#124—21no—
515#124—21no—
516#124C23×C1111yescharacteristic
517#124C23×C1111yescharacteristic
518#124C23×C1111yescharacteristic
519#123—21no—
520#123—21no—
521#123—21no—
522#123—21no—
523#123—21no—
524#123—21no—
525#123—21no—
526#123—21no—
527#123—21no—
528C22⋊Q8—21no—
529C22⋊Q8—21no—
530C22⋊Q8—21no—
531C22⋊Q8—21no—
532C22⋊Q8—21no—
533C22⋊Q8—21no—
534C22⋊Q8—21no—
535C22⋊Q8—21no—
536C22⋊Q8—21no—
537C22⋊Q8—21no—
538C22⋊Q8—21no—
539C22⋊Q8D4×C1111yescharacteristic
540C22⋊Q8D4×C1111yescharacteristic
541C22⋊Q8D4×C1111yescharacteristic
542#121—21no—
543#121—21no—
544#121—21no—
545#121D4×C1111yescharacteristic
546#121D4×C1111yescharacteristic
547#121D4×C1111yescharacteristic
548#120—21no—
549#120—21no—
550#120—21no—
551#120—21no—
552C4×Q8—21no—
553C4×Q8—21no—
554C4×Q8—21no—
555C4×Q8—21no—
556C4×Q8—21no—
557C4×Q8D4×C1111yescharacteristic
558C4×Q8D4×C1111yescharacteristic
559C4×Q8D4×C1111yescharacteristic
560C4×D4—21no—
561C4×D4—21no—
562C4×D4—21no—
563C4×D4—21no—
564C4×D4—21no—
565C4×D4—21no—
566C4×D4D4×C1111yescharacteristic
567C4×D4D4×C1111yescharacteristic
568C4×D4D4×C1111yescharacteristic
569#117—21no—
570#117—21no—
571#117—21no—
572#117—21no—
573#117—21no—
574#117—21no—
575#117—21no—
576C2×C22⋊C4—21no—
577C2×C22⋊C4—21no—
578C2×C22⋊C4—21no—
579C2×C42C23×C1111yescharacteristic
580#107—21no—
581#107—21no—
582#107—21no—
583#107—21no—
584#106—21no—
585#106—21no—
586#106—21no—
587#106—21no—
588C4⋊C8—21no—
589#103—21no—
590#103—21no—
591#103—21no—
592#103—21no—
593#103—21no—
594#103—21no—
595#103—21no—
596#103—21no—
597#102—21no—
598#102—21no—
599#102—21no—
600#102—21no—
601C22⋊C8—21no—
602#97—21no—
603#97C23×C1111yescharacteristic
604#97C23×C1111yescharacteristic
605#97C23×C1111yescharacteristic
606#97C23×C1111yescharacteristic
607#97C23×C1111yescharacteristic
608#97C23×C1111yescharacteristic
609C4×C8—21no—
610C2×C11—41no—
611C2×C11—81no—
612C2×C11—81no—
613C2×C11—81no—
614C2×C11#301811yescharacteristic
615C2×C11#301811yescharacteristic
616C2×C11#302211yescharacteristic
617C24—21no—
618C2×Q8—21no—
619C2×Q8—21no—
620C2×Q8—21no—
621C2×Q8—21no—
622C2×Q8—21no—
623C2×Q8C2×D4×C1111yescharacteristic
624C2×Q8C2×D4×C1111yescharacteristic
625C2×Q8C2×D4×C1111yescharacteristic
626C2×D4—21no—
627C2×D4—21no—
628C2×D4—21no—
629C2×D4—21no—
630C2×D4—21no—
631C2×D4—21no—
632C2×D4C2×D4×C1111yescharacteristic
633C2×D4C2×D4×C1111yescharacteristic
634C2×D4C2×D4×C1111yescharacteristic
635C22×C4—21no—
636C22×C4—21no—
637C22×C4—21no—
638C22×C4—21no—
639C22×C4—21no—
640C22×C4—21no—
641C22×C4C2×D4×C1111yescharacteristic
642C22×C4C2×D4×C1111yescharacteristic
643C22×C4C2×D4×C1111yescharacteristic
644Q16—42no—
645Q16—42no—
646SD16—42no—
647SD16—42no—
648M16—42no—
649C2×C8—21no—
650C2×C8—21no—
651C2×C8—21no—
652C2×C8—21no—
653C2×C8—21no—
654C2×C8—21no—
655C2×C8—42no—
656C4⋊C4—21no—
657C4⋊C4—21no—
658C4⋊C4—21no—
659C4⋊C4—21no—
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—41no—
679C4⋊C4—41no—
680C4⋊C4C2×D4×C1111yescharacteristic
681C4⋊C4C2×D4×C1111yescharacteristic
682C4⋊C4C2×D4×C1111yescharacteristic
683C4⋊C4C2×D4×C1111yescharacteristic
684C4⋊C4C2×D4×C1111yescharacteristic
685C4⋊C4C2×D4×C1111yescharacteristic
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—21no—
695C22⋊C4—21no—
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—41no—
714C42—21no—
715C42—21no—
716C42—21no—
717C42—21no—
718C42—21no—
719C42—21no—
720C42—21no—
721C42—41no—
722C42C2×D4×C1111yescharacteristic
723C42C2×D4×C1111yescharacteristic
724C42C2×D4×C1111yescharacteristic
725C42C24×C1111yescharacteristic
726C11#1903911yescharacteristic, direct product factor, Sylow
727C23—21no—
728C23—21no—
729C23—21no—
730C23—81no—
731C23—81no—
732C23—81no—
733C23C11×#12011yescharacteristic
734Q8—41no—
735Q8—41no—
736Q8—41no—
737Q8—41no—
738Q8—41no—
739Q8—41no—
740Q8—41no—
741Q8—81no—
742Q8—81no—
743Q8—81no—
744D4—41no—
745D4—41no—
746D4—41no—
747D4—81no—
748D4—81no—
749D4—81no—
750D4—81no—
751D4—81no—
752D4—81no—
753C2×C4—21no—
754C2×C4—21no—
755C2×C4—21no—
756C2×C4—21no—
757C2×C4—21no—
758C2×C4—21no—
759C2×C4—21no—
760C2×C4—21no—
761C2×C4—21no—
762C2×C4—41no—
763C2×C4—41no—
764C2×C4—41no—
765C2×C4—41no—
766C2×C4—41no—
767C2×C4—81no—
768C2×C4—81no—
769C2×C4—81no—
770C2×C4—81no—
771C2×C4—81no—
772C2×C4—81no—
773C2×C4C11×#12011yescharacteristic
774C2×C4C11×#12011yescharacteristic
775C2×C4C11×#12011yescharacteristic
776C2×C4C22×D4×C1111yescharacteristic
777C2×C4C22×D4×C1111yescharacteristic
778C2×C4C22×D4×C1111yescharacteristic
779C8—22no—
780C8—22no—
781C8—41no—
782C8—41no—
783C8—41no—
784C8—41no—
785C22—21no—
786C22—21no—
787C22—21no—
788C22—41no—
789C22—41no—
790C22—41no—
791C22—41no—
792C22—41no—
793C22—41no—
794C22—41no—
795C22—41no—
796C22—41no—
797C22—162no—
798C22C2×C11×#12011yescharacteristic
799C4—21no—
800C4—21no—
801C4—21no—
802C4—21no—
803C4—21no—
804C4—21no—
805C4—41no—
806C4—41no—
807C4—41no—
808C4—41no—
809C4—41no—
810C4—41no—
811C4—41no—
812C4—41no—
813C4—41no—
814C4—81no—
815C4—81no—
816C2—41no—
817C2—81no—
818C2—81no—
819C2—81no—
820C2C11×#301811yescharacteristic
821C2C11×#301811yescharacteristic
822C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3568C2
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×#3181C2semidirect
4. C11×#3172C2semidirect
5. C11×#1664C2semidirect
6. C11×#1664C2semidirect
7. C11×#1664C2semidirect
8. C11×#1664C2semidirect
9. C11×#1660C2semidirect
10. C11×#1660C2semidirect
11. C11×#1659C2semidirect
12. C11×#1659C2semidirect
13. C11×#1532C2semidirect
14. C11×#1529C2semidirect
15. C11×#1524C2semidirect
32. C11×#533C22semidirect
36. C11×#501C22semidirect
37. C11×#501C22semidirect
38. C11×#501C22semidirect
39. C11×#501C22semidirect
42. C11×#491C22semidirect
43. C11×#491C22semidirect
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. #19039C11direct (N × H)
317. #3240C2×C11semidirect
318. #3181C2×C11semidirect
319. #3172C2×C11semidirect
320. #1664C2×C11semidirect
321. #1664C2×C11semidirect
322. #1664C2×C11semidirect
323. #1664C2×C11semidirect
324. #1660C2×C11semidirect
325. #1660C2×C11semidirect
326. #1659C2×C11semidirect
327. #1659C2×C11semidirect
328. #1532C2×C11semidirect
329. #1529C2×C11semidirect
330. #1524C2×C11semidirect
405. #533C22×C11semidirect
409. #501C22×C11semidirect
410. #501C22×C11semidirect
411. #501C22×C11semidirect
412. #501C22×C11semidirect
415. #491C22×C11semidirect
416. #491C22×C11semidirect
433. #432C22×C11semidirect
434. C4×M16C22×C11semidirect
435. C2×#97C22×C11semidirect
436. #330C22×C11semidirect
437. #330C22×C11semidirect
438. #330C22×C11semidirect
439. #330C22×C11semidirect
440. #330C22×C11semidirect
441. #330C22×C11semidirect
726. C11#19039direct (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×#32402
C11×#31812
C11×#31722
C11×#16642
C11×#16602
C11×#16592
C11×#15322
C11×#15292
C11×#15242
#1903911