Finite Group Databasebeta

← C11×#24820 #14602013

Subgroups — C11×#24820 #14602013

Order 2816.

898 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#478C211yesmaximal, characteristic, complemented
2C2×C4×C11×D8C211yesmaximal, characteristic
3C11×#2566C211yesmaximal, characteristic, complemented
4C11×#2349C211yesmaximal, characteristic, complemented
5C11×#2085C211yesmaximal, characteristic, complemented
6C11×#2083C211yesmaximal, characteristic, complemented
7C11×#2067C211yesmaximal, characteristic, complemented
8C11×#2065C211yesmaximal, characteristic, complemented
9C11×#1991C211yesmaximal, characteristic, complemented
10C11×#1939C211yesmaximal, characteristic, complemented
11C11×#1879C211yesmaximal, characteristic
12C11×#1879C211yesmaximal, characteristic
13C11×#1804C211yesmaximal, characteristic, complemented
14C11×#1804C211yesmaximal, characteristic, complemented
15C11×#1802C211yesmaximal, characteristic, complemented
16C22×C11×D8C2211yescharacteristic
17C2×C11×#125C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C11×#478—24no—
23C4×C11×D8—24no—
24C2×C11×#107C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×C4⋊C8C2211yescharacteristic
28C2×C11×C4⋊C8C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C4×C8×C11C2211yescharacteristic
37C11×#396—21no—
38C11×#396—21no—
39C11×#390C2211yescharacteristic
40C11×#390C2211yescharacteristic
41C11×#389C2211yescharacteristic
42C11×#389C2211yescharacteristic
43C11×#385—21no—
44C11×#385—21no—
45C11×#385—21no—
46C11×#385—21no—
47C11×#384C2211yescharacteristic
48C11×#382C2211yescharacteristic
49C11×#382C2211yescharacteristic
50C11×#380—21no—
51C4×C11×C4⋊C4C2211yescharacteristic
52C2×C11×#95—21no—
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C2×C11×D8—22no—
68C2×C11×D8—22no—
69C2×C11×D8Q814yes—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C11×#125—22no—
75C11×#125—22no—
76C4×D4×C11—22no—
77C4×D4×C11—22no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C4×D4×C11—22no—
81C4×D4×C11—41no—
82C4×D4×C11—41no—
83C4×D4×C11D414yes—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4D411yescharacteristic
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
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×C11C2311yescharacteristic
107C2×C42×C11C2311yescharacteristic
108C2×C42×C11C2311yescharacteristic
109C11×#107—22no—
110C11×#107—22no—
111C11×#106—22no—
112C11×C4⋊C8—22no—
113C11×C4⋊C8—41no—
114C11×C4⋊C8—41no—
115C11×#102—22no—
116C11×#102—22no—
117C11×#102—22no—
118C11×#102—22no—
119C11×#102—41no—
120C11×#102—41no—
121C4×C8×C11—22no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95D411yescharacteristic
129C11×#95D411yescharacteristic
130#24820C1111yesmaximal, characteristic, direct product factor, Sylow
131C24×C11—21no—
132C24×C11—21no—
133C2×D4×C11—21no—
134C2×D4×C11—21no—
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×C11C2×D412yes—
142C2×D4×C11C2×Q812yes—
143C2×D4×C11C2×Q812yes—
144C2×D4×C11#4112yes—
145C22×C4×C11—21no—
146C22×C4×C11—24no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—42no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11—81no—
160C22×C4×C11—81no—
161C22×C4×C11—81no—
162C22×C4×C11—81no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2411yescharacteristic
170C11×D8—28no—
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—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11C2×Q812yes—
183C11×C4⋊C4—22no—
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—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—41no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4—42no—
198C11×C4⋊C4—81no—
199C11×C4⋊C4—81no—
200C11×C4⋊C4—81no—
201C11×C4⋊C4—81no—
202C11×C4⋊C4C2×D412yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—81no—
210C11×C22⋊C4—81no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11C2×D412yes—
216C42×C11#4112yes—
217C2×#478C2×C1111yescharacteristic, complemented
218C2×C4×D8C2×C1111yescharacteristic
219#2566C2×C1111yescharacteristic, complemented
220#2349C2×C1111yescharacteristic, complemented
221#2085C2×C1111yescharacteristic, complemented
222#2083C2×C1111yescharacteristic, complemented
223#2067C2×C1111yescharacteristic, complemented
224#2065C2×C1111yescharacteristic, complemented
225#1991C2×C1111yescharacteristic, complemented
226#1939C2×C1111yescharacteristic, complemented
227#1879C2×C1111yescharacteristic
228#1879C2×C1111yescharacteristic
229#1804C2×C1111yescharacteristic, complemented
230#1804C2×C1111yescharacteristic, complemented
231#1802C2×C1111yescharacteristic, complemented
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11C22×D411yescharacteristic
247D4×C11—22no—
248D4×C11—22no—
249D4×C11—22no—
250D4×C11—22no—
251D4×C11—22no—
252D4×C11—41no—
253D4×C11—41no—
254D4×C11C22⋊Q814yes—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
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—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—84no—
289C2×C4×C11—84no—
290C2×C4×C11—84no—
291C2×C4×C11—84no—
292C2×C4×C11#12112yes—
293C2×C4×C11#12112yes—
294C2×C4×C11#13512yes—
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×Q811yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C112−1+411yescharacteristic
301C8×C11—22no—
302C8×C11—41no—
303C8×C11—41no—
304C8×C11—41no—
305C22×D8C22×C1111yescharacteristic
306C2×#125C22×C1111yescharacteristic
307C2×C4×D4C22×C1111yescharacteristic
308C2×C4×D4C22×C1111yescharacteristic
309C2×C4×D4C22×C1111yescharacteristic
310C2×C4×D4C22×C1111yescharacteristic
311#478—24no—
312C4×D8—24no—
313C2×#107C22×C1111yescharacteristic
314C2×#107C22×C1111yescharacteristic
315C2×#106C22×C1111yescharacteristic
316C2×C4⋊C8C22×C1111yescharacteristic
317C2×C4⋊C8C22×C1111yescharacteristic
318C2×C4⋊C8C22×C1111yescharacteristic
319C2×#102C22×C1111yescharacteristic
320C2×#102C22×C1111yescharacteristic
321C2×#102C22×C1111yescharacteristic
322C2×#102C22×C1111yescharacteristic
323C2×#102C22×C1111yescharacteristic
324C2×#102C22×C1111yescharacteristic
325C2×C4×C8C22×C1111yescharacteristic
326#396—21no—
327#396—21no—
328#390C22×C1111yescharacteristic
329#390C22×C1111yescharacteristic
330#389C22×C1111yescharacteristic
331#389C22×C1111yescharacteristic
332#385—21no—
333#385—21no—
334#385—21no—
335#385—21no—
336#384C22×C1111yescharacteristic
337#382C22×C1111yescharacteristic
338#382C22×C1111yescharacteristic
339#380—21no—
340C4×C4⋊C4C22×C1111yescharacteristic
341C2×#95—21no—
342#340C22×C1111yescharacteristic
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#340C22×C1111yescharacteristic
346#340C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#336C22×C1111yescharacteristic
349#336C22×C1111yescharacteristic
350C22×C11—24no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11—81no—
364C22×C11C2×#12111yescharacteristic
365C22×C11#54611yescharacteristic
366C22×C11D4×Q811yescharacteristic
367C22×C11C2×#13511yescharacteristic
368C22×C11#57511yescharacteristic
369C22×C11#57611yescharacteristic
370C22×C11#57611yescharacteristic
371C4×C11—22no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—42no—
375C4×C11—41no—
376C4×C11—41no—
377C4×C11—41no—
378C4×C11—81no—
379C4×C11—81no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11C2×C22⋊Q811yescharacteristic
384C4×C11#53711yescharacteristic
385C4×C11#55211yescharacteristic
386C4×C11#55411yescharacteristic
387C22×D4C23×C1111yescharacteristic
388C22×D4C23×C1111yescharacteristic
389C23×C4—21no—
390C23×C4—21no—
391C23×C4—21no—
392C23×C4—21no—
393C2×D8—22no—
394C2×D8—22no—
395C2×D8Q8×C1114yes—
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398C22×C8C23×C1111yescharacteristic
399C22×C8C23×C1111yescharacteristic
400#125—22no—
401#125—22no—
402C4×D4—22no—
403C4×D4—22no—
404C4×D4—22no—
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—41no—
408C4×D4—41no—
409C4×D4D4×C1114yes—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4D4×C1111yescharacteristic
417C2×C4⋊C4D4×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C4⋊C4C23×C1111yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C42C23×C1111yescharacteristic
433C2×C42C23×C1111yescharacteristic
434C2×C42C23×C1111yescharacteristic
435#107—22no—
436#107—22no—
437#106—22no—
438C4⋊C8—22no—
439C4⋊C8—41no—
440C4⋊C8—41no—
441#102—22no—
442#102—22no—
443#102—22no—
444#102—22no—
445#102—41no—
446#102—41no—
447C4×C8—22no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95D4×C1111yescharacteristic
455#95D4×C1111yescharacteristic
456C2×C11—44no—
457C2×C11—82no—
458C2×C11#241711yescharacteristic
459C2×C11#303511yescharacteristic
460C2×C11#304111yescharacteristic
461C2×C11#329711yescharacteristic
462C2×C11#332211yescharacteristic
463C2×C11#338011yescharacteristic
464C2×C11#338911yescharacteristic
465C24—21no—
466C24—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×D4C2×D4×C1112yes—
476C2×D4C2×Q8×C1112yes—
477C2×D4C2×Q8×C1112yes—
478C2×D4C11×#4112yes—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—81no—
493C22×C4—81no—
494C22×C4—81no—
495C22×C4—81no—
496C22×C4—81no—
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C2×D4×C1111yescharacteristic
499C22×C4C2×D4×C1111yescharacteristic
500C22×C4C2×D4×C1111yescharacteristic
501C22×C4C2×D4×C1111yescharacteristic
502C22×C4C2×D4×C1111yescharacteristic
503C22×C4C24×C1111yescharacteristic
504D8—28no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8C2×Q8×C1112yes—
517C4⋊C4—22no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C4⋊C4—81no—
534C4⋊C4—81no—
535C4⋊C4—81no—
536C4⋊C4C2×D4×C1112yes—
537C22⋊C4—24no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42C2×D4×C1112yes—
550C42C11×#4112yes—
551C11#2482011yescharacteristic, direct product factor, Sylow
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23C22×D4×C1111yescharacteristic
567D4—22no—
568D4—22no—
569D4—22no—
570D4—22no—
571D4—22no—
572D4—41no—
573D4—41no—
574D4C11×C22⋊Q814yes—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
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×C4—84no—
610C2×C4—84no—
611C2×C4—84no—
612C2×C4C11×#12112yes—
613C2×C4C11×#12112yes—
614C2×C4C11×#13512yes—
615C2×C4C22×D4×C1111yescharacteristic
616C2×C4C22×Q8×C1111yescharacteristic
617C2×C4C2×C11×#4111yescharacteristic
618C2×C4C2×C11×#4111yescharacteristic
619C2×C4C11×H(5,𝔽2)11yescharacteristic
620C2×C4C11×2−1+411yescharacteristic
621C8—22no—
622C8—41no—
623C8—41no—
624C8—41no—
625C22—24no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—42no—
634C22—42no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22C2×C11×#12111yescharacteristic
640C22C11×#54611yescharacteristic
641C22D4×Q8×C1111yescharacteristic
642C22C2×C11×#13511yescharacteristic
643C22C11×#57511yescharacteristic
644C22C11×#57611yescharacteristic
645C22C11×#57611yescharacteristic
646C4—22no—
647C4—22no—
648C4—22no—
649C4—42no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4C2×C11×C22⋊Q811yescharacteristic
659C4C11×#53711yescharacteristic
660C4C11×#55211yescharacteristic
661C4C11×#55411yescharacteristic
662C2—44no—
663C2—82no—
664C2C11×#241711yescharacteristic
665C2C11×#303511yescharacteristic
666C2C11×#304111yescharacteristic
667C2C11×#329711yescharacteristic
668C2C11×#332211yescharacteristic
669C2C11×#338011yescharacteristic
670C2C11×#338911yescharacteristic
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. C2×C11×#478C2semidirect
3. C11×#2566C2semidirect
4. C11×#2349C2semidirect
5. C11×#2085C2semidirect
6. C11×#2083C2semidirect
7. C11×#2067C2semidirect
8. C11×#2065C2semidirect
9. C11×#1991C2semidirect
10. C11×#1939C2semidirect
13. C11×#1804C2semidirect
14. C11×#1804C2semidirect
15. C11×#1802C2semidirect
130. #24820C11direct (N × H)
217. C2×#478C2×C11semidirect
219. #2566C2×C11semidirect
220. #2349C2×C11semidirect
221. #2085C2×C11semidirect
222. #2083C2×C11semidirect
223. #2067C2×C11semidirect
224. #2065C2×C11semidirect
225. #1991C2×C11semidirect
226. #1939C2×C11semidirect
229. #1804C2×C11semidirect
230. #1804C2×C11semidirect
231. #1802C2×C11semidirect
551. C11#24820direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4782
C2×C4×C11×D82
C11×#25662
C11×#23492
C11×#20852
C11×#20832
C11×#20672
C11×#20652
C11×#19912
C11×#19392
C11×#18792
C11×#18042
C11×#18022
#2482011