Finite Group Databasebeta

← C11×#23144 #14600337

Subgroups — C11×#23144 #14600337

Order 2816.

870 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#470C211yesmaximal, characteristic
2C11×#2362C211yesmaximal, characteristic
3C11×#2360C211yesmaximal, characteristic
4C11×#1935C211yesmaximal, characteristic, complemented
5C11×#1933C211yesmaximal, characteristic, complemented
6C11×#1920C211yesmaximal, characteristic, complemented
7C11×#1920C211yesmaximal, characteristic, complemented
8C11×#1878C211yesmaximal, characteristic, complemented
9C11×#1878C211yesmaximal, characteristic, complemented
10C11×#1873C211yesmaximal, characteristic
11C11×#1872C211yesmaximal, characteristic
12C11×#1763C211yesmaximal, characteristic, complemented
13C4×C11×#103C211yesmaximal, characteristic, complemented
14C11×#1753C211yesmaximal, characteristic
15C11×#1736C211yesmaximal, characteristic
16C22×C11×Q16C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C11×C22⋊Q8C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C11×#117C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C11×#470C418yescomplemented
25C2×C11×#106C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#103C2211yescharacteristic
29C2×C11×#103C2211yescharacteristic
30C2×C11×#103C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×C22⋊C8C2211yescharacteristic
33C2×C11×#97C2211yescharacteristic
34C2×C4×C8×C11C2211yescharacteristic
35C11×#391C2211yescharacteristic
36C11×#391C2211yescharacteristic
37C11×#389—21no—
38C11×#389C2211yescharacteristic
39C11×#389C2211yescharacteristic
40C11×#388—21no—
41C11×#388—21no—
42C11×#387—21no—
43C11×#387—21no—
44C11×#385—21no—
45C4×C11×C4⋊C4—21no—
46C4×C11×C4⋊C4C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C22⋊C4—21no—
49C4×C11×C22⋊C4C2211yescharacteristic
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C2×C11×Q16—41no—
65C2×C11×Q16—41no—
66C2×C11×Q16C2×C414yescomplemented
67C2×C11×M16—41no—
68C2×C11×M16—41no—
69C2×C11×M16C2×C414yes—
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C11×C22⋊Q8—22no—
75C11×C22⋊Q8—22no—
76C11×C22⋊Q8C2×C414yes—
77C11×C22⋊Q8C2×C414yes—
78C4×Q8×C11—22no—
79C4×Q8×C11—22no—
80C4×Q8×C11—41no—
81C4×Q8×C11—41no—
82C11×#117—22no—
83C11×#117—41no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4—22no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—41no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4D411yescharacteristic
103C2×C11×C22⋊C4D411yescharacteristic
104C2×C42×C11—21no—
105C2×C42×C11—21no—
106C2×C42×C11—21no—
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11C2311yescharacteristic
110C2×C42×C11C2311yescharacteristic
111C11×#106C2×C414yescomplemented
112C11×#103—22no—
113C11×#103—22no—
114C11×#103—41no—
115C11×#103—41no—
116C11×#103C2×C414yescomplemented
117C11×#103C2×C414yescomplemented
118C11×C22⋊C8—22no—
119C11×#97—41no—
120C4×C8×C11—41no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95D411yescharacteristic
130C11×#95D411yescharacteristic
131#23144C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11C2×D411yescharacteristic
133C2×Q8×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11C22×C412yes—
144C2×Q8×C11C22×C412yes—
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—42no—
158C22×C4×C11—42no—
159C22×C4×C11—81no—
160C22×C4×C11C22×C412yes—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11#4112yes—
167C22×C4×C11C2411yescharacteristic
168C11×Q16—44no—
169C11×M16—44no—
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—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11C22×C412yes—
181C2×C8×C11C22×C412yes—
182C11×C4⋊C4—24no—
183C11×C4⋊C4—24no—
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—81no—
197C11×C4⋊C4C22×C412yes—
198C11×C4⋊C4C22×C412yes—
199C11×C4⋊C4#4112yes—
200C11×C4⋊C4#4112yes—
201C11×C22⋊C4—24no—
202C11×C22⋊C4—24no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—41no—
205C11×C22⋊C4—42no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—42no—
211C42×C11—42no—
212C42×C11—42no—
213C42×C11—42no—
214C42×C11—81no—
215C2×#470C2×C1111yescharacteristic
216#2362C2×C1111yescharacteristic
217#2360C2×C1111yescharacteristic
218#1935C2×C1111yescharacteristic, complemented
219#1933C2×C1111yescharacteristic, complemented
220#1920C2×C1111yescharacteristic, complemented
221#1920C2×C1111yescharacteristic, complemented
222#1878C2×C1111yescharacteristic, complemented
223#1878C2×C1111yescharacteristic, complemented
224#1873C2×C1111yescharacteristic
225#1872C2×C1111yescharacteristic
226#1763C2×C1111yescharacteristic, complemented
227C4×#103C2×C1111yescharacteristic, complemented
228#1753C2×C1111yescharacteristic
229#1736C2×C1111yescharacteristic
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11C4×D412yes—
237C23×C11C22×D411yescharacteristic
238Q8×C11—22no—
239Q8×C11—22no—
240Q8×C11—22no—
241Q8×C11—22no—
242Q8×C11—41no—
243Q8×C11—41no—
244Q8×C11—41no—
245Q8×C11—41no—
246C2×C4×C11—21no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—22no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
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—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—84no—
288C2×C4×C11C4×D412yes—
289C2×C4×C11#13712yes—
290C2×C4×C11C23×C411yescharacteristic
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—22no—
298C8×C11—41no—
299C8×C11—41no—
300C22×Q16C22×C1111yescharacteristic
301C22×M16C22×C1111yescharacteristic
302C2×C22⋊Q8C22×C1111yescharacteristic
303C2×C22⋊Q8C22×C1111yescharacteristic
304C2×C4×Q8C22×C1111yescharacteristic
305C2×C4×Q8C22×C1111yescharacteristic
306C2×#117C22×C1111yescharacteristic
307C22×C4⋊C4C22×C1111yescharacteristic
308#470C4×C1118yescomplemented
309C2×#106C22×C1111yescharacteristic
310C2×#103C22×C1111yescharacteristic
311C2×#103C22×C1111yescharacteristic
312C2×#103C22×C1111yescharacteristic
313C2×#103C22×C1111yescharacteristic
314C2×#103C22×C1111yescharacteristic
315C2×#103C22×C1111yescharacteristic
316C2×C22⋊C8C22×C1111yescharacteristic
317C2×#97C22×C1111yescharacteristic
318C2×C4×C8C22×C1111yescharacteristic
319#391C22×C1111yescharacteristic
320#391C22×C1111yescharacteristic
321#389—21no—
322#389C22×C1111yescharacteristic
323#389C22×C1111yescharacteristic
324#388—21no—
325#388—21no—
326#387—21no—
327#387—21no—
328#385—21no—
329C4×C4⋊C4—21no—
330C4×C4⋊C4C22×C1111yescharacteristic
331C4×C4⋊C4C22×C1111yescharacteristic
332C4×C22⋊C4—21no—
333C4×C22⋊C4C22×C1111yescharacteristic
334#340C22×C1111yescharacteristic
335#340C22×C1111yescharacteristic
336#340C22×C1111yescharacteristic
337#340C22×C1111yescharacteristic
338#340C22×C1111yescharacteristic
339#340C22×C1111yescharacteristic
340#340C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#336C22×C1111yescharacteristic
343#336C22×C1111yescharacteristic
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11C2×C4×D411yescharacteristic
352C22×C11#54611yescharacteristic
353C22×C11#54611yescharacteristic
354C22×C11C2×#13711yescharacteristic
355C22×C11#57511yescharacteristic
356C22×C11#57711yescharacteristic
357C22×C11#57811yescharacteristic
358C4×C11—22no—
359C4×C11—22no—
360C4×C11—41no—
361C4×C11—42no—
362C4×C11—42no—
363C4×C11—42no—
364C4×C11—42no—
365C4×C11—42no—
366C4×C11—41no—
367C4×C11—42no—
368C4×C11—41no—
369C4×C11—81no—
370C4×C11—81no—
371C4×C11C4×#4111yescharacteristic
372C4×C11#51811yescharacteristic
373C4×C11#55311yescharacteristic
374C4×C11#55311yescharacteristic
375C22×Q8C23×C1111yescharacteristic
376C22×Q8C23×C1111yescharacteristic
377C23×C4—21no—
378C23×C4C23×C1111yescharacteristic
379C2×Q16—41no—
380C2×Q16—41no—
381C2×Q16C2×C4×C1114yescomplemented
382C2×M16—41no—
383C2×M16—41no—
384C2×M16C2×C4×C1114yes—
385C22×C8C23×C1111yescharacteristic
386C22×C8C23×C1111yescharacteristic
387C22×C8C23×C1111yescharacteristic
388C22×C8C23×C1111yescharacteristic
389C22⋊Q8—22no—
390C22⋊Q8—22no—
391C22⋊Q8C2×C4×C1114yes—
392C22⋊Q8C2×C4×C1114yes—
393C4×Q8—22no—
394C4×Q8—22no—
395C4×Q8—41no—
396C4×Q8—41no—
397#117—22no—
398#117—41no—
399C2×C4⋊C4—21no—
400C2×C4⋊C4—21no—
401C2×C4⋊C4—22no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—41no—
408C2×C4⋊C4C23×C1111yescharacteristic
409C2×C4⋊C4C23×C1111yescharacteristic
410C2×C4⋊C4C23×C1111yescharacteristic
411C2×C4⋊C4C23×C1111yescharacteristic
412C2×C4⋊C4C23×C1111yescharacteristic
413C2×C4⋊C4C23×C1111yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4D4×C1111yescharacteristic
418C2×C22⋊C4D4×C1111yescharacteristic
419C2×C42—21no—
420C2×C42—21no—
421C2×C42—21no—
422C2×C42—21no—
423C2×C42—21no—
424C2×C42C23×C1111yescharacteristic
425C2×C42C23×C1111yescharacteristic
426#106C2×C4×C1114yescomplemented
427#103—22no—
428#103—22no—
429#103—41no—
430#103—41no—
431#103C2×C4×C1114yescomplemented
432#103C2×C4×C1114yescomplemented
433C22⋊C8—22no—
434#97—41no—
435C4×C8—41no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95D4×C1111yescharacteristic
445#95D4×C1111yescharacteristic
446C2×C11—42no—
447C2×C11#236411yescharacteristic
448C2×C11C4×#13711yescharacteristic
449C2×C11#294711yescharacteristic
450C2×C11#331111yescharacteristic
451C2×C11#331211yescharacteristic
452C2×C11#332711yescharacteristic
453C2×C11#333111yescharacteristic
454C24C2×D4×C1111yescharacteristic
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8C22×C4×C1112yes—
466C2×Q8C22×C4×C1112yes—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
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—42no—
480C22×C4—42no—
481C22×C4—81no—
482C22×C4C22×C4×C1112yes—
483C22×C4C2×D4×C1111yescharacteristic
484C22×C4C2×D4×C1111yescharacteristic
485C22×C4C2×D4×C1111yescharacteristic
486C22×C4C2×D4×C1111yescharacteristic
487C22×C4C2×D4×C1111yescharacteristic
488C22×C4C11×#4112yes—
489C22×C4C24×C1111yescharacteristic
490Q16—44no—
491M16—44no—
492C2×C8—21no—
493C2×C8—21no—
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×C8C22×C4×C1112yes—
503C2×C8C22×C4×C1112yes—
504C4⋊C4—24no—
505C4⋊C4—24no—
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—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—81no—
519C4⋊C4C22×C4×C1112yes—
520C4⋊C4C22×C4×C1112yes—
521C4⋊C4C11×#4112yes—
522C4⋊C4C11×#4112yes—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—22no—
526C22⋊C4—41no—
527C22⋊C4—42no—
528C42—21no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—42no—
533C42—42no—
534C42—42no—
535C42—42no—
536C42—81no—
537C11#2314411yescharacteristic, direct product factor, Sylow
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23C4×D4×C1112yes—
545C23C22×D4×C1111yescharacteristic
546Q8—22no—
547Q8—22no—
548Q8—22no—
549Q8—22no—
550Q8—41no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—41no—
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—84no—
596C2×C4C4×D4×C1112yes—
597C2×C4C11×#13712yes—
598C2×C4C23×C4×C1111yescharacteristic
599C2×C4C2×C11×#4111yescharacteristic
600C2×C4C2×C11×#4111yescharacteristic
601C2×C4C2×C11×#4111yescharacteristic
602C2×C4C11×H(5,𝔽2)11yescharacteristic
603C2×C4C11×H(5,𝔽2)11yescharacteristic
604C8—22no—
605C8—22no—
606C8—41no—
607C8—41no—
608C22—22no—
609C22—22no—
610C22—22no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22C2×C4×D4×C1111yescharacteristic
616C22C11×#54611yescharacteristic
617C22C11×#54611yescharacteristic
618C22C2×C11×#13711yescharacteristic
619C22C11×#57511yescharacteristic
620C22C11×#57711yescharacteristic
621C22C11×#57811yescharacteristic
622C4—22no—
623C4—22no—
624C4—42no—
625C4—42no—
626C4—41no—
627C4—42no—
628C4—41no—
629C4—41no—
630C4—42no—
631C4—42no—
632C4—42no—
633C4—81no—
634C4—81no—
635C4C4×C11×#4111yescharacteristic
636C4C11×#51811yescharacteristic
637C4C11×#55311yescharacteristic
638C4C11×#55311yescharacteristic
639C2—42no—
640C2C11×#236411yescharacteristic
641C2C4×C11×#13711yescharacteristic
642C2C11×#294711yescharacteristic
643C2C11×#331111yescharacteristic
644C2C11×#331211yescharacteristic
645C2C11×#332711yescharacteristic
646C2C11×#333111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC24×C11C2×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
4. C11×#1935C2semidirect
5. C11×#1933C2semidirect
6. C11×#1920C2semidirect
7. C11×#1920C2semidirect
8. C11×#1878C2semidirect
9. C11×#1878C2semidirect
12. C11×#1763C2semidirect
13. C4×C11×#103C2semidirect
24. C11×#470C4semidirect
66. C2×C11×Q16C2×C4semidirect
111. C11×#106C2×C4semidirect
116. C11×#103C2×C4semidirect
117. C11×#103C2×C4semidirect
131. #23144C11direct (N × H)
218. #1935C2×C11semidirect
219. #1933C2×C11semidirect
220. #1920C2×C11semidirect
221. #1920C2×C11semidirect
222. #1878C2×C11semidirect
223. #1878C2×C11semidirect
226. #1763C2×C11semidirect
227. C4×#103C2×C11semidirect
308. #470C4×C11semidirect
381. C2×Q16C2×C4×C11semidirect
426. #106C2×C4×C11semidirect
431. #103C2×C4×C11semidirect
432. #103C2×C4×C11semidirect
537. C11#23144direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4702
C11×#23622
C11×#23602
C11×#19352
C11×#19332
C11×#19202
C11×#18782
C11×#18732
C11×#18722
C11×#17632
C4×C11×#1032
C11×#17532
C11×#17362
#2314411