Finite Group Databasebeta

← C11×#24641 #14601834

Subgroups — C11×#24641 #14601834

Order 2816.

842 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#464C211yesmaximal, characteristic
2C2×C11×#441C211yesmaximal, characteristic, complemented
3C11×#2545C211yesmaximal, characteristic
4C11×#2355C211yesmaximal, characteristic, complemented
5C11×#2056C211yesmaximal, characteristic, complemented
6C11×#2055C211yesmaximal, characteristic
7C11×#2016C211yesmaximal, characteristic, complemented
8C11×#2015C211yesmaximal, characteristic
9C11×#1983C211yesmaximal, characteristic
10C11×#1981C211yesmaximal, characteristic, complemented
11C11×#1959C211yesmaximal, characteristic
12C11×#1940C211yesmaximal, characteristic, complemented
13C11×#1927C211yesmaximal, characteristic, complemented
14C11×#1926C211yesmaximal, characteristic
15C11×#1803C211yesmaximal, characteristic, complemented
16C22×C11×Q16C2211yescharacteristic
17C22×C11×Q16C2211yescharacteristic
18C22×C11×SD16C2211yescharacteristic
19C2×C11×C4⋊Q8C2211yescharacteristic
20C2×C11×#124C2211yescharacteristic
21C2×C11×#124C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×Q8×C11C2211yescharacteristic
24C11×#464—24no—
25C11×#441—24no—
26C2×C11×#106C2211yescharacteristic
27C2×C11×C4⋊C8C2211yescharacteristic
28C2×C11×C4⋊C8C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×#103C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#103C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2211yescharacteristic
39C2×C11×#102C2211yescharacteristic
40C2×C11×#97C2211yescharacteristic
41C11×#396—21no—
42C11×#396—21no—
43C11×#391C2211yescharacteristic
44C11×#391C2211yescharacteristic
45C11×#391C2211yescharacteristic
46C11×#390C2211yescharacteristic
47C11×#388—21no—
48C11×#388—21no—
49C11×#387—21no—
50C11×#387—21no—
51C11×#384C2211yescharacteristic
52C11×#382—21no—
53C4×C11×C4⋊C4—21no—
54C4×C11×C4⋊C4C2211yescharacteristic
55C4×C11×C4⋊C4C2211yescharacteristic
56C4×C11×C4⋊C4C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C2×C11×Q16—22no—
66C2×C11×Q16—22no—
67C2×C11×Q16—22no—
68C2×C11×Q16—22no—
69C2×C11×Q16—41no—
70C2×C11×Q16—41no—
71C2×C11×SD16—22no—
72C2×C11×SD16—41no—
73C2×C11×SD16—41no—
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C11×C4⋊Q8—22no—
79C11×C4⋊Q8—41no—
80C11×#124—22no—
81C11×#124—22no—
82C11×#124—22no—
83C11×#124—41no—
84C4×Q8×C11—22no—
85C4×Q8×C11—22no—
86C4×Q8×C11—22no—
87C4×Q8×C11D414yes—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4D411yescharacteristic
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C42×C11—21no—
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11—21no—
110C2×C42×C11C2311yescharacteristic
111C2×C42×C11C2311yescharacteristic
112C2×C42×C11C2311yescharacteristic
113C11×#106—22no—
114C11×C4⋊C8—22no—
115C11×C4⋊C8—41no—
116C11×C4⋊C8—41no—
117C11×#103—22no—
118C11×#103—22no—
119C11×#103—22no—
120C11×#103—22no—
121C11×#103—41no—
122C11×#103—41no—
123C11×#103—41no—
124C11×#102—22no—
125C11×#102—22no—
126C11×#102—41no—
127C11×#97—22no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95—21no—
135C11×#95—21no—
136C11×#95D411yescharacteristic
137C11×#95D411yescharacteristic
138#24641C1111yesmaximal, characteristic, direct product factor, Sylow
139C24×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11C2×D412yes—
157C2×Q8×C11#4112yes—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C11×Q16—28no—
179C11×Q16—44no—
180C11×SD16—44no—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11#4112yes—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—22no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—41no—
203C11×C4⋊C4—42no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4—42no—
206C11×C4⋊C4—42no—
207C11×C4⋊C4—81no—
208C11×C4⋊C4C2×D412yes—
209C11×C22⋊C4—42no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—42no—
212C11×C22⋊C4—42no—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—42no—
215C42×C11—24no—
216C42×C11—21no—
217C42×C11—21no—
218C42×C11—21no—
219C42×C11—21no—
220C42×C11—42no—
221C42×C11—81no—
222C42×C11—81no—
223C42×C11C2×D412yes—
224C42×C11#4112yes—
225C2×#464C2×C1111yescharacteristic
226C2×#441C2×C1111yescharacteristic, complemented
227#2545C2×C1111yescharacteristic
228#2355C2×C1111yescharacteristic, complemented
229#2056C2×C1111yescharacteristic, complemented
230#2055C2×C1111yescharacteristic
231#2016C2×C1111yescharacteristic, complemented
232#2015C2×C1111yescharacteristic
233#1983C2×C1111yescharacteristic
234#1981C2×C1111yescharacteristic, complemented
235#1959C2×C1111yescharacteristic
236#1940C2×C1111yescharacteristic, complemented
237#1927C2×C1111yescharacteristic, complemented
238#1926C2×C1111yescharacteristic
239#1803C2×C1111yescharacteristic, complemented
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11C22×D411yescharacteristic
248Q8×C11—22no—
249Q8×C11—22no—
250Q8×C11—22no—
251Q8×C11—22no—
252Q8×C11—41no—
253Q8×C11—41no—
254Q8×C11—41no—
255Q8×C11—41no—
256Q8×C11—41no—
257Q8×C11—41no—
258Q8×C11—41no—
259Q8×C11—41no—
260D4×C11—41no—
261D4×C11—41no—
262D4×C11—41no—
263D4×C11—41no—
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—22no—
271C2×C4×C11—22no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
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—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11#12112yes—
301C2×C4×C11#12112yes—
302C2×C4×C11#13712yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11H(5,𝔽2)11yescharacteristic
308C2×C4×C11H(5,𝔽2)11yescharacteristic
309C8×C11—22no—
310C8×C11—41no—
311C8×C11—41no—
312C8×C11—41no—
313C22×Q16C22×C1111yescharacteristic
314C22×Q16C22×C1111yescharacteristic
315C22×SD16C22×C1111yescharacteristic
316C2×C4⋊Q8C22×C1111yescharacteristic
317C2×#124C22×C1111yescharacteristic
318C2×#124C22×C1111yescharacteristic
319C2×C4×Q8C22×C1111yescharacteristic
320C2×C4×Q8C22×C1111yescharacteristic
321#464—24no—
322#441—24no—
323C2×#106C22×C1111yescharacteristic
324C2×C4⋊C8C22×C1111yescharacteristic
325C2×C4⋊C8C22×C1111yescharacteristic
326C2×C4⋊C8C22×C1111yescharacteristic
327C2×#103C22×C1111yescharacteristic
328C2×#103C22×C1111yescharacteristic
329C2×#103C22×C1111yescharacteristic
330C2×#103C22×C1111yescharacteristic
331C2×#103C22×C1111yescharacteristic
332C2×#103C22×C1111yescharacteristic
333C2×#103C22×C1111yescharacteristic
334C2×#102C22×C1111yescharacteristic
335C2×#102C22×C1111yescharacteristic
336C2×#102C22×C1111yescharacteristic
337C2×#97C22×C1111yescharacteristic
338#396—21no—
339#396—21no—
340#391C22×C1111yescharacteristic
341#391C22×C1111yescharacteristic
342#391C22×C1111yescharacteristic
343#390C22×C1111yescharacteristic
344#388—21no—
345#388—21no—
346#387—21no—
347#387—21no—
348#384C22×C1111yescharacteristic
349#382—21no—
350C4×C4⋊C4—21no—
351C4×C4⋊C4C22×C1111yescharacteristic
352C4×C4⋊C4C22×C1111yescharacteristic
353C4×C4⋊C4C22×C1111yescharacteristic
354#340C22×C1111yescharacteristic
355#340C22×C1111yescharacteristic
356#336C22×C1111yescharacteristic
357#336C22×C1111yescharacteristic
358C22×C11—81no—
359C22×C11—81no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11—81no—
364C22×C11—81no—
365C22×C11C2×#12111yescharacteristic
366C22×C11#54611yescharacteristic
367C22×C11#55011yescharacteristic
368C22×C11C2×#13711yescharacteristic
369C22×C11#57511yescharacteristic
370C22×C11#57711yescharacteristic
371C22×C11#57811yescharacteristic
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—42no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—41no—
379C4×C11—41no—
380C4×C11—41no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11—81no—
385C4×C11#52511yescharacteristic
386C4×C11#53511yescharacteristic
387C4×C11#55311yescharacteristic
388C4×C11#55511yescharacteristic
389C22×Q8C23×C1111yescharacteristic
390C22×Q8C23×C1111yescharacteristic
391C22×Q8C23×C1111yescharacteristic
392C22×D4C23×C1111yescharacteristic
393C2×Q16—22no—
394C2×Q16—22no—
395C2×Q16—22no—
396C2×Q16—22no—
397C2×Q16—41no—
398C2×Q16—41no—
399C2×SD16—22no—
400C2×SD16—41no—
401C2×SD16—41no—
402C22×C8C23×C1111yescharacteristic
403C22×C8C23×C1111yescharacteristic
404C22×C8C23×C1111yescharacteristic
405C22×C8C23×C1111yescharacteristic
406C4⋊Q8—22no—
407C4⋊Q8—41no—
408#124—22no—
409#124—22no—
410#124—22no—
411#124—41no—
412C4×Q8—22no—
413C4×Q8—22no—
414C4×Q8—22no—
415C4×Q8D4×C1114yes—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4D4×C1111yescharacteristic
423C2×C4⋊C4D4×C1111yescharacteristic
424C2×C4⋊C4C23×C1111yescharacteristic
425C2×C4⋊C4C23×C1111yescharacteristic
426C2×C4⋊C4C23×C1111yescharacteristic
427C2×C4⋊C4C23×C1111yescharacteristic
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C1111yescharacteristic
439C2×C42C23×C1111yescharacteristic
440C2×C42C23×C1111yescharacteristic
441#106—22no—
442C4⋊C8—22no—
443C4⋊C8—41no—
444C4⋊C8—41no—
445#103—22no—
446#103—22no—
447#103—22no—
448#103—22no—
449#103—41no—
450#103—41no—
451#103—41no—
452#102—22no—
453#102—22no—
454#102—41no—
455#97—22no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95D4×C1111yescharacteristic
465#95D4×C1111yescharacteristic
466C2×C11—161no—
467C2×C11#241411yescharacteristic
468C2×C11#303711yescharacteristic
469C2×C11#304611yescharacteristic
470C2×C11#331311yescharacteristic
471C2×C11#331611yescharacteristic
472C2×C11#339811yescharacteristic
473C2×C11#340111yescharacteristic
474C24—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8C2×D4×C1112yes—
492C2×Q8C11×#4112yes—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C2×D4×C1111yescharacteristic
508C22×C4C2×D4×C1111yescharacteristic
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C2×D4×C1111yescharacteristic
511C22×C4C2×D4×C1111yescharacteristic
512C22×C4C24×C1111yescharacteristic
513Q16—28no—
514Q16—44no—
515SD16—44no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8C11×#4112yes—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—42no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4C2×D4×C1112yes—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C42—24no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—42no—
556C42—81no—
557C42—81no—
558C42C2×D4×C1112yes—
559C42C11×#4112yes—
560C11#2464111yescharacteristic, direct product factor, Sylow
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23C22×D4×C1111yescharacteristic
569Q8—22no—
570Q8—22no—
571Q8—22no—
572Q8—22no—
573Q8—41no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4C11×#12112yes—
622C2×C4C11×#12112yes—
623C2×C4C11×#13712yes—
624C2×C4C22×D4×C1111yescharacteristic
625C2×C4C2×C11×#4111yescharacteristic
626C2×C4C2×C11×#4111yescharacteristic
627C2×C4C2×C11×#4111yescharacteristic
628C2×C4C11×H(5,𝔽2)11yescharacteristic
629C2×C4C11×H(5,𝔽2)11yescharacteristic
630C8—22no—
631C8—41no—
632C8—41no—
633C8—41no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C2×C11×#12111yescharacteristic
642C22C11×#54611yescharacteristic
643C22C11×#55011yescharacteristic
644C22C2×C11×#13711yescharacteristic
645C22C11×#57511yescharacteristic
646C22C11×#57711yescharacteristic
647C22C11×#57811yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—42no—
652C4—42no—
653C4—42no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4C11×#52511yescharacteristic
662C4C11×#53511yescharacteristic
663C4C11×#55311yescharacteristic
664C4C11×#55511yescharacteristic
665C2—161no—
666C2C11×#241411yescharacteristic
667C2C11×#303711yescharacteristic
668C2C11×#304611yescharacteristic
669C2C11×#331311yescharacteristic
670C2C11×#331611yescharacteristic
671C2C11×#339811yescharacteristic
672C2C11×#340111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
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
2. C2×C11×#441C2semidirect
4. C11×#2355C2semidirect
5. C11×#2056C2semidirect
7. C11×#2016C2semidirect
10. C11×#1981C2semidirect
12. C11×#1940C2semidirect
13. C11×#1927C2semidirect
15. C11×#1803C2semidirect
138. #24641C11direct (N × H)
226. C2×#441C2×C11semidirect
228. #2355C2×C11semidirect
229. #2056C2×C11semidirect
231. #2016C2×C11semidirect
234. #1981C2×C11semidirect
236. #1940C2×C11semidirect
237. #1927C2×C11semidirect
239. #1803C2×C11semidirect
560. C11#24641direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4642
C2×C11×#4412
C11×#25452
C11×#23552
C11×#20562
C11×#20552
C11×#20162
C11×#20152
C11×#19832
C11×#19812
C11×#19592
C11×#19402
C11×#19272
C11×#19262
C11×#18032
#2464111