Finite Group Databasebeta

← C11×#27089 #14604282

Subgroups — C11×#27089 #14604282

Order 2816.

768 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2513C211yesmaximal, characteristic, complemented
2C11×#2367C211yesmaximal, characteristic, complemented
3C11×#2092C211yesmaximal, characteristic, complemented
4C11×#2054C211yesmaximal, characteristic
5C11×#2042C211yesmaximal, characteristic, complemented
6C11×#2012C211yesmaximal, characteristic
7C11×#1973C211yesmaximal, characteristic, complemented
8C11×#1927C211yesmaximal, characteristic, complemented
9C11×#1926C211yesmaximal, characteristic, complemented
10C11×#1918C211yesmaximal, characteristic, complemented
11C11×#1917C211yesmaximal, characteristic, complemented
12C11×#1880C211yesmaximal, characteristic, complemented
13C11×#1879C211yesmaximal, characteristic
14C11×#1805C211yesmaximal, characteristic, complemented
15C11×#1762C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×D8C2211yescharacteristic
18C2×C11×#124C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C11×#107C2211yescharacteristic
22C2×C11×#106C2211yescharacteristic
23C2×C11×C4⋊C8C2211yescharacteristic
24C2×C11×#103C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#97C2211yescharacteristic
33C11×#397—21no—
34C11×#397—21no—
35C11×#391C2211yescharacteristic
36C11×#390C2211yescharacteristic
37C11×#390C2211yescharacteristic
38C11×#390C2211yescharacteristic
39C11×#390C2211yescharacteristic
40C11×#389C2211yescharacteristic
41C11×#388—21no—
42C11×#388—21no—
43C11×#388—21no—
44C11×#388—21no—
45C11×#385—21no—
46C11×#382C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C22⋊C4—21no—
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#336C2211yescharacteristic
56C11×#336C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C2×C11×SD16—22no—
64C2×C11×SD16—22no—
65C2×C11×SD16—41no—
66C2×C11×D8—22no—
67C2×C11×D8—41no—
68C2×C11×D8—41no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#124—22no—
74C11×#124—22no—
75C4×Q8×C11—22no—
76C4×Q8×C11—41no—
77C4×D4×C11—22no—
78C4×D4×C11—41no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4D411yescharacteristic
82C2×C11×C4⋊C4D411yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C4⋊C4C2311yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C22⋊C4—21no—
89C2×C11×C22⋊C4—21no—
90C2×C11×C22⋊C4—21no—
91C2×C11×C22⋊C4—21no—
92C2×C11×C22⋊C4—21no—
93C2×C11×C22⋊C4—21no—
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×C42×C11—21no—
100C2×C42×C11—21no—
101C2×C42×C11—21no—
102C2×C42×C11C2311yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C2×C42×C11C2311yescharacteristic
105C11×#107—22no—
106C11×#106—41no—
107C11×C4⋊C8—41no—
108C11×#103—22no—
109C11×#103—41no—
110C11×#103—41no—
111C11×#102—22no—
112C11×#102—22no—
113C11×#102—22no—
114C11×#102—41no—
115C11×#102—41no—
116C11×#97—41no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95D411yescharacteristic
125C11×#95D411yescharacteristic
126#27089C1111yesmaximal, characteristic, direct product factor, Sylow
127C24×C11—21no—
128C24×C11—21no—
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—21no—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11#4112yes—
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—42no—
154C22×C4×C11—42no—
155C22×C4×C11—81no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2411yescharacteristic
163C11×SD16—44no—
164C11×D8—44no—
165C2×C8×C11—21no—
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#4112yes—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
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—41no—
187C11×C4⋊C4—41no—
188C11×C4⋊C4—42no—
189C11×C4⋊C4—81no—
190C11×C4⋊C4#4112yes—
191C11×C22⋊C4—24no—
192C11×C22⋊C4—24no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—42no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—81no—
198C11×C22⋊C4—81no—
199C11×C22⋊C4—81no—
200C11×C22⋊C4—81no—
201C11×C22⋊C4—81no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—42no—
209C42×C11—81no—
210C42×C11—81no—
211#2513C2×C1111yescharacteristic, complemented
212#2367C2×C1111yescharacteristic, complemented
213#2092C2×C1111yescharacteristic, complemented
214#2054C2×C1111yescharacteristic
215#2042C2×C1111yescharacteristic, complemented
216#2012C2×C1111yescharacteristic
217#1973C2×C1111yescharacteristic, complemented
218#1927C2×C1111yescharacteristic, complemented
219#1926C2×C1111yescharacteristic, complemented
220#1918C2×C1111yescharacteristic, complemented
221#1917C2×C1111yescharacteristic, complemented
222#1880C2×C1111yescharacteristic, complemented
223#1879C2×C1111yescharacteristic
224#1805C2×C1111yescharacteristic, complemented
225#1762C2×C1111yescharacteristic, complemented
226C23×C11—22no—
227C23×C11—41no—
228C23×C11—41no—
229C23×C11—41no—
230C23×C11—41no—
231C23×C11—41no—
232C23×C11—41no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11C22×D411yescharacteristic
241Q8×C11—22no—
242Q8×C11—22no—
243Q8×C11—41no—
244Q8×C11—41no—
245D4×C11—22no—
246D4×C11—22no—
247D4×C11—41no—
248D4×C11—41no—
249D4×C11—41no—
250D4×C11—41no—
251D4×C11—41no—
252D4×C11—41no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—22no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—22no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
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—84no—
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11H(5,𝔽2)11yescharacteristic
295C2×C4×C11H(5,𝔽2)11yescharacteristic
296C8×C11—22no—
297C8×C11—41no—
298C8×C11—41no—
299C8×C11—41no—
300C22×SD16C22×C1111yescharacteristic
301C22×D8C22×C1111yescharacteristic
302C2×#124C22×C1111yescharacteristic
303C2×C4×Q8C22×C1111yescharacteristic
304C2×C4×D4C22×C1111yescharacteristic
305C2×#107C22×C1111yescharacteristic
306C2×#106C22×C1111yescharacteristic
307C2×C4⋊C8C22×C1111yescharacteristic
308C2×#103C22×C1111yescharacteristic
309C2×#103C22×C1111yescharacteristic
310C2×#103C22×C1111yescharacteristic
311C2×#102C22×C1111yescharacteristic
312C2×#102C22×C1111yescharacteristic
313C2×#102C22×C1111yescharacteristic
314C2×#102C22×C1111yescharacteristic
315C2×#102C22×C1111yescharacteristic
316C2×#97C22×C1111yescharacteristic
317#397—21no—
318#397—21no—
319#391C22×C1111yescharacteristic
320#390C22×C1111yescharacteristic
321#390C22×C1111yescharacteristic
322#390C22×C1111yescharacteristic
323#390C22×C1111yescharacteristic
324#389C22×C1111yescharacteristic
325#388—21no—
326#388—21no—
327#388—21no—
328#388—21no—
329#385—21no—
330#382C22×C1111yescharacteristic
331C4×C4⋊C4C22×C1111yescharacteristic
332C4×C4⋊C4C22×C1111yescharacteristic
333C4×C4⋊C4C22×C1111yescharacteristic
334C4×C22⋊C4—21no—
335#340C22×C1111yescharacteristic
336#340C22×C1111yescharacteristic
337#340C22×C1111yescharacteristic
338#340C22×C1111yescharacteristic
339#336C22×C1111yescharacteristic
340#336C22×C1111yescharacteristic
341#336C22×C1111yescharacteristic
342#336C22×C1111yescharacteristic
343C22×C11—42no—
344C22×C11—42no—
345C22×C11—42no—
346C22×C11—81no—
347C22×C11—81no—
348C22×C11—81no—
349C22×C11—81no—
350C22×C11—81no—
351C22×C11—81no—
352C22×C11—81no—
353C22×C11—81no—
354C22×C11—81no—
355C22×C11—81no—
356C22×C11—81no—
357C22×C11#52511yescharacteristic
358C22×C11#54611yescharacteristic
359C22×C11#55011yescharacteristic
360C22×C11#57511yescharacteristic
361C22×C11#57511yescharacteristic
362C22×C11#57611yescharacteristic
363C22×C11#57711yescharacteristic
364C4×C11—41no—
365C4×C11—41no—
366C4×C11—42no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—42no—
370C4×C11—41no—
371C4×C11—41no—
372C4×C11—81no—
373C4×C11—81no—
374C4×C11—81no—
375C4×C11—81no—
376C4×C11#52911yescharacteristic
377C4×C11#53811yescharacteristic
378C4×C11#55111yescharacteristic
379C4×C11#55311yescharacteristic
380C22×Q8C23×C1111yescharacteristic
381C22×D4C23×C1111yescharacteristic
382C22×D4C23×C1111yescharacteristic
383C23×C4—21no—
384C2×SD16—22no—
385C2×SD16—22no—
386C2×SD16—41no—
387C2×D8—22no—
388C2×D8—41no—
389C2×D8—41no—
390C22×C8C23×C1111yescharacteristic
391C22×C8C23×C1111yescharacteristic
392C22×C8C23×C1111yescharacteristic
393C22×C8C23×C1111yescharacteristic
394#124—22no—
395#124—22no—
396C4×Q8—22no—
397C4×Q8—41no—
398C4×D4—22no—
399C4×D4—41no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4D4×C1111yescharacteristic
403C2×C4⋊C4D4×C1111yescharacteristic
404C2×C4⋊C4C23×C1111yescharacteristic
405C2×C4⋊C4C23×C1111yescharacteristic
406C2×C4⋊C4C23×C1111yescharacteristic
407C2×C4⋊C4C23×C1111yescharacteristic
408C2×C4⋊C4C23×C1111yescharacteristic
409C2×C22⋊C4—21no—
410C2×C22⋊C4—21no—
411C2×C22⋊C4—21no—
412C2×C22⋊C4—21no—
413C2×C22⋊C4—21no—
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42—21no—
423C2×C42C23×C1111yescharacteristic
424C2×C42C23×C1111yescharacteristic
425C2×C42C23×C1111yescharacteristic
426#107—22no—
427#106—41no—
428C4⋊C8—41no—
429#103—22no—
430#103—41no—
431#103—41no—
432#102—22no—
433#102—22no—
434#102—22no—
435#102—41no—
436#102—41no—
437#97—41no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95D4×C1111yescharacteristic
446#95D4×C1111yescharacteristic
447C2×C11—82no—
448C2×C11—161no—
449C2×C11#246711yescharacteristic
450C2×C11#311111yescharacteristic
451C2×C11#311911yescharacteristic
452C2×C11#331911yescharacteristic
453C2×C11#332611yescharacteristic
454C2×C11#340111yescharacteristic
455C2×C11#340311yescharacteristic
456C24—21no—
457C24—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8C11×#4112yes—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4C11×#4112yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—81no—
485C22×C4C2×D4×C1111yescharacteristic
486C22×C4C2×D4×C1111yescharacteristic
487C22×C4C2×D4×C1111yescharacteristic
488C22×C4C2×D4×C1111yescharacteristic
489C22×C4C2×D4×C1111yescharacteristic
490C22×C4C2×D4×C1111yescharacteristic
491C22×C4C24×C1111yescharacteristic
492SD16—44no—
493D8—44no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8C11×#4112yes—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—42no—
518C4⋊C4—81no—
519C4⋊C4C11×#4112yes—
520C22⋊C4—24no—
521C22⋊C4—24no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—81no—
527C22⋊C4—81no—
528C22⋊C4—81no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—42no—
538C42—81no—
539C42—81no—
540C11#2708911yescharacteristic, direct product factor, Sylow
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C22×D4×C1111yescharacteristic
556Q8—22no—
557Q8—22no—
558Q8—41no—
559Q8—41no—
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
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—84no—
605C2×C4C2×C11×#4111yescharacteristic
606C2×C4C2×C11×#4111yescharacteristic
607C2×C4C2×C11×#4111yescharacteristic
608C2×C4C2×C11×#4111yescharacteristic
609C2×C4C11×H(5,𝔽2)11yescharacteristic
610C2×C4C11×H(5,𝔽2)11yescharacteristic
611C8—22no—
612C8—41no—
613C8—41no—
614C8—41no—
615C22—42no—
616C22—42no—
617C22—42no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C11×#52511yescharacteristic
630C22C11×#54611yescharacteristic
631C22C11×#55011yescharacteristic
632C22C11×#57511yescharacteristic
633C22C11×#57511yescharacteristic
634C22C11×#57611yescharacteristic
635C22C11×#57711yescharacteristic
636C4—42no—
637C4—41no—
638C4—41no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4C11×#52911yescharacteristic
649C4C11×#53811yescharacteristic
650C4C11×#55111yescharacteristic
651C4C11×#55311yescharacteristic
652C2—82no—
653C2—161no—
654C2C11×#246711yescharacteristic
655C2C11×#311111yescharacteristic
656C2C11×#311911yescharacteristic
657C2C11×#331911yescharacteristic
658C2C11×#332611yescharacteristic
659C2C11×#340111yescharacteristic
660C2C11×#340311yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2513C2semidirect
2. C11×#2367C2semidirect
3. C11×#2092C2semidirect
5. C11×#2042C2semidirect
7. C11×#1973C2semidirect
8. C11×#1927C2semidirect
9. C11×#1926C2semidirect
10. C11×#1918C2semidirect
11. C11×#1917C2semidirect
12. C11×#1880C2semidirect
14. C11×#1805C2semidirect
15. C11×#1762C2semidirect
126. #27089C11direct (N × H)
211. #2513C2×C11semidirect
212. #2367C2×C11semidirect
213. #2092C2×C11semidirect
215. #2042C2×C11semidirect
217. #1973C2×C11semidirect
218. #1927C2×C11semidirect
219. #1926C2×C11semidirect
220. #1918C2×C11semidirect
221. #1917C2×C11semidirect
222. #1880C2×C11semidirect
224. #1805C2×C11semidirect
225. #1762C2×C11semidirect
540. C11#27089direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25132
C11×#23672
C11×#20922
C11×#20542
C11×#20422
C11×#20122
C11×#19732
C11×#19272
C11×#19262
C11×#19182
C11×#19172
C11×#18802
C11×#18792
C11×#18052
C11×#17622
#2708911