Finite Group Databasebeta

← C11×#24983 #14602176

Subgroups — C11×#24983 #14602176

Order 2816.

778 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2538C211yesmaximal, characteristic
2C11×#2352C211yesmaximal, characteristic
3C11×#2077C211yesmaximal, characteristic, complemented
4C11×#2077C211yesmaximal, characteristic, complemented
5C11×#2035C211yesmaximal, characteristic, complemented
6C11×#2035C211yesmaximal, characteristic, complemented
7C11×#1955C211yesmaximal, characteristic
8C11×#1948C211yesmaximal, characteristic, complemented
9C11×#1873C211yesmaximal, characteristic, complemented
10C11×#1872C211yesmaximal, characteristic, complemented
11C11×#1836C211yesmaximal, characteristic, complemented
12C11×#1825C211yesmaximal, characteristic, complemented
13C11×#1824C211yesmaximal, characteristic, complemented
14C11×#1805C211yesmaximal, characteristic, complemented
15C11×#1763C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×C11×#117C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C2×C11×#106C2211yescharacteristic
23C2×C11×#106C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C2×C11×C22⋊C8C2211yescharacteristic
30C2×C11×C22⋊C8C2211yescharacteristic
31C2×C11×C22⋊C8C2211yescharacteristic
32C2×C11×C22⋊C8C2211yescharacteristic
33C2×C11×#97C2211yescharacteristic
34C11×#396—21no—
35C11×#396—21no—
36C11×#390—21no—
37C11×#389—21no—
38C11×#388—21no—
39C11×#387—21no—
40C11×#386—21no—
41C11×#384C2211yescharacteristic
42C11×#382C2211yescharacteristic
43C11×#380C2211yescharacteristic
44C11×#380C2211yescharacteristic
45C11×#380C2211yescharacteristic
46C11×#380C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C22⋊C4—21no—
49C11×#340C2211yescharacteristic
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11D411yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C8×C11C2311yescharacteristic
65C22×C8×C11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C11×C22⋊Q8—22no—
69C11×C22⋊Q8—22no—
70C11×C22⋊Q8—41no—
71C11×C22⋊Q8—41no—
72C4×Q8×C11—22no—
73C4×Q8×C11—22no—
74C4×D4×C11—22no—
75C4×D4×C11—22no—
76C11×#117—22no—
77C11×#117—41no—
78C2×C11×C4⋊C4—22no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—41no—
86C2×C11×C4⋊C4D411yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C4⋊C4C2311yescharacteristic
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4D411yescharacteristic
102C2×C11×C22⋊C4D411yescharacteristic
103C2×C42×C11—21no—
104C2×C42×C11—21no—
105C2×C42×C11—21no—
106C2×C42×C11C2311yescharacteristic
107C11×#106—41no—
108C11×#106—41no—
109C11×C4⋊C8—22no—
110C11×#103—22no—
111C11×#103—22no—
112C11×#103—41no—
113C11×#103—41no—
114C11×C22⋊C8—41no—
115C11×C22⋊C8—41no—
116C11×C22⋊C8—41no—
117C11×C22⋊C8—41no—
118C11×#97—22no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126#24983C1111yesmaximal, characteristic, direct product factor, Sylow
127C24×C11C2×D411yescharacteristic
128C24×C11C2×D411yescharacteristic
129C2×Q8×C11—21no—
130C2×Q8×C11—21no—
131C2×Q8×C11—21no—
132C2×Q8×C11—21no—
133C2×Q8×C11—21no—
134C2×Q8×C11#4112yes—
135C2×D4×C11—22no—
136C2×D4×C11—22no—
137C2×D4×C11—41no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—42no—
159C22×C4×C11—42no—
160C22×C4×C11—81no—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2411yescharacteristic
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11—21no—
170C2×C8×C11—21no—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—21no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4—42no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4—81no—
198C11×C4⋊C4#4112yes—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—42no—
203C11×C22⋊C4—42no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—81no—
206C11×C22⋊C4—81no—
207C11×C22⋊C4—81no—
208C42×C11—42no—
209C42×C11—42no—
210C42×C11—81no—
211C42×C11#4112yes—
212C42×C11#4112yes—
213#2538C2×C1111yescharacteristic
214#2352C2×C1111yescharacteristic
215#2077C2×C1111yescharacteristic, complemented
216#2077C2×C1111yescharacteristic, complemented
217#2035C2×C1111yescharacteristic, complemented
218#2035C2×C1111yescharacteristic, complemented
219#1955C2×C1111yescharacteristic
220#1948C2×C1111yescharacteristic, complemented
221#1873C2×C1111yescharacteristic, complemented
222#1872C2×C1111yescharacteristic, complemented
223#1836C2×C1111yescharacteristic, complemented
224#1825C2×C1111yescharacteristic, complemented
225#1824C2×C1111yescharacteristic, complemented
226#1805C2×C1111yescharacteristic, complemented
227#1763C2×C1111yescharacteristic, complemented
228C23×C11—21no—
229C23×C11—21no—
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11#13712yes—
242C23×C11C22×D411yescharacteristic
243Q8×C11—22no—
244Q8×C11—22no—
245Q8×C11—41no—
246Q8×C11—41no—
247D4×C11—44no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—84no—
291C2×C4×C11#12312yes—
292C2×C4×C11#12312yes—
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11H(5,𝔽2)11yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C8×C11—41no—
300C8×C11—41no—
301C8×C11—41no—
302C8×C11—41no—
303C2×C22⋊Q8C22×C1111yescharacteristic
304C2×C22⋊Q8C22×C1111yescharacteristic
305C2×C4×Q8C22×C1111yescharacteristic
306C2×C4×D4C22×C1111yescharacteristic
307C2×#117C22×C1111yescharacteristic
308C22×C4⋊C4C22×C1111yescharacteristic
309C2×#106C22×C1111yescharacteristic
310C2×#106C22×C1111yescharacteristic
311C2×C4⋊C8C22×C1111yescharacteristic
312C2×#103C22×C1111yescharacteristic
313C2×#103C22×C1111yescharacteristic
314C2×#103C22×C1111yescharacteristic
315C2×#103C22×C1111yescharacteristic
316C2×C22⋊C8C22×C1111yescharacteristic
317C2×C22⋊C8C22×C1111yescharacteristic
318C2×C22⋊C8C22×C1111yescharacteristic
319C2×C22⋊C8C22×C1111yescharacteristic
320C2×#97C22×C1111yescharacteristic
321#396—21no—
322#396—21no—
323#390—21no—
324#389—21no—
325#388—21no—
326#387—21no—
327#386—21no—
328#384C22×C1111yescharacteristic
329#382C22×C1111yescharacteristic
330#380C22×C1111yescharacteristic
331#380C22×C1111yescharacteristic
332#380C22×C1111yescharacteristic
333#380C22×C1111yescharacteristic
334C4×C4⋊C4C22×C1111yescharacteristic
335C4×C22⋊C4—21no—
336#340C22×C1111yescharacteristic
337#340C22×C1111yescharacteristic
338#340C22×C1111yescharacteristic
339#340C22×C1111yescharacteristic
340#340C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#340C22×C1111yescharacteristic
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#340C22×C1111yescharacteristic
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—41no—
359C22×C11—41no—
360C22×C11C2×#12311yescharacteristic
361C22×C11#54611yescharacteristic
362C22×C11#54611yescharacteristic
363C22×C11C2×#13711yescharacteristic
364C22×C11#57511yescharacteristic
365C22×C11#57711yescharacteristic
366C22×C11#57711yescharacteristic
367C4×C11—22no—
368C4×C11—22no—
369C4×C11—41no—
370C4×C11—41no—
371C4×C11—42no—
372C4×C11—42no—
373C4×C11—81no—
374C4×C11—81no—
375C4×C11—81no—
376C4×C11—81no—
377C4×C11—81no—
378C4×C11—81no—
379C4×C11#52911yescharacteristic
380C4×C11#54011yescharacteristic
381C4×C11#55311yescharacteristic
382C4×C11#55511yescharacteristic
383C22×Q8C23×C1111yescharacteristic
384C22×D4D4×C1111yescharacteristic
385C23×C4—21no—
386C23×C4C23×C1111yescharacteristic
387C23×C4C23×C1111yescharacteristic
388C22×C8C23×C1111yescharacteristic
389C22×C8C23×C1111yescharacteristic
390C22×C8C23×C1111yescharacteristic
391C22×C8C23×C1111yescharacteristic
392C22⋊Q8—22no—
393C22⋊Q8—22no—
394C22⋊Q8—41no—
395C22⋊Q8—41no—
396C4×Q8—22no—
397C4×Q8—22no—
398C4×D4—22no—
399C4×D4—22no—
400#117—22no—
401#117—41no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—41no—
410C2×C4⋊C4D4×C1111yescharacteristic
411C2×C4⋊C4C23×C1111yescharacteristic
412C2×C4⋊C4C23×C1111yescharacteristic
413C2×C4⋊C4C23×C1111yescharacteristic
414C2×C4⋊C4C23×C1111yescharacteristic
415C2×C4⋊C4C23×C1111yescharacteristic
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C1111yescharacteristic
426C2×C22⋊C4D4×C1111yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42C23×C1111yescharacteristic
431#106—41no—
432#106—41no—
433C4⋊C8—22no—
434#103—22no—
435#103—22no—
436#103—41no—
437#103—41no—
438C22⋊C8—41no—
439C22⋊C8—41no—
440C22⋊C8—41no—
441C22⋊C8—41no—
442#97—22no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450C2×C11—42no—
451C2×C11—81no—
452C2×C11#242011yescharacteristic
453C2×C11#309511yescharacteristic
454C2×C11#309911yescharacteristic
455C2×C11#331111yescharacteristic
456C2×C11#331611yescharacteristic
457C2×C11#331711yescharacteristic
458C2×C11#332011yescharacteristic
459C24C2×D4×C1111yescharacteristic
460C24C2×D4×C1111yescharacteristic
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8C11×#4112yes—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—41no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—81no—
493C22×C4C2×D4×C1111yescharacteristic
494C22×C4C2×D4×C1111yescharacteristic
495C22×C4C2×D4×C1111yescharacteristic
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C24×C1111yescharacteristic
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—81no—
530C4⋊C4C11×#4112yes—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—81no—
538C22⋊C4—81no—
539C22⋊C4—81no—
540C42—42no—
541C42—42no—
542C42—81no—
543C42C11×#4112yes—
544C42C11×#4112yes—
545C11#2498311yescharacteristic, direct product factor, Sylow
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23C11×#13712yes—
560C23C22×D4×C1111yescharacteristic
561Q8—22no—
562Q8—22no—
563Q8—41no—
564Q8—41no—
565D4—44no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4C11×#12312yes—
610C2×C4C11×#12312yes—
611C2×C4C2×C11×#4111yescharacteristic
612C2×C4C2×C11×#4111yescharacteristic
613C2×C4C2×C11×#4111yescharacteristic
614C2×C4C2×C11×#4111yescharacteristic
615C2×C4C11×H(5,𝔽2)11yescharacteristic
616C2×C4C11×H(5,𝔽2)11yescharacteristic
617C8—41no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—22no—
622C22—22no—
623C22—22no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×C11×#12311yescharacteristic
636C22C11×#54611yescharacteristic
637C22C11×#54611yescharacteristic
638C22C2×C11×#13711yescharacteristic
639C22C11×#57511yescharacteristic
640C22C11×#57711yescharacteristic
641C22C11×#57711yescharacteristic
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—42no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C11×#52911yescharacteristic
655C4C11×#54011yescharacteristic
656C4C11×#55311yescharacteristic
657C4C11×#55511yescharacteristic
658C2—42no—
659C2—81no—
660C2C11×#242011yescharacteristic
661C2C11×#309511yescharacteristic
662C2C11×#309911yescharacteristic
663C2C11×#331111yescharacteristic
664C2C11×#331611yescharacteristic
665C2C11×#331711yescharacteristic
666C2C11×#332011yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C11×#2077C2semidirect
4. C11×#2077C2semidirect
5. C11×#2035C2semidirect
6. C11×#2035C2semidirect
8. C11×#1948C2semidirect
9. C11×#1873C2semidirect
10. C11×#1872C2semidirect
11. C11×#1836C2semidirect
12. C11×#1825C2semidirect
13. C11×#1824C2semidirect
14. C11×#1805C2semidirect
15. C11×#1763C2semidirect
126. #24983C11direct (N × H)
215. #2077C2×C11semidirect
216. #2077C2×C11semidirect
217. #2035C2×C11semidirect
218. #2035C2×C11semidirect
220. #1948C2×C11semidirect
221. #1873C2×C11semidirect
222. #1872C2×C11semidirect
223. #1836C2×C11semidirect
224. #1825C2×C11semidirect
225. #1824C2×C11semidirect
226. #1805C2×C11semidirect
227. #1763C2×C11semidirect
545. C11#24983direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25382
C11×#23522
C11×#20772
C11×#20352
C11×#19552
C11×#19482
C11×#18732
C11×#18722
C11×#18362
C11×#18252
C11×#18242
C11×#18052
C11×#17632
#2498311