Finite Group Databasebeta

← C11×#18385 #14595578

Subgroups — C11×#18385 #14595578

Order 2816.

1012 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3505C211yesmaximal, characteristic
2C11×#3189C211yesmaximal, characteristic, complemented
3C11×#3187C211yesmaximal, characteristic, complemented
4C11×#2564C211yesmaximal, characteristic, complemented
5C11×#1618C212yesmaximal, complemented
6C11×#1615C212yesmaximal, complemented
7C11×#1606C212yesmaximal, complemented
8C11×#1603C212yesmaximal, complemented
9C2×C11×#328C211yesmaximal, characteristic, complemented
10C2×C11×#327C211yesmaximal, characteristic, complemented
11C11×#1459C211yesmaximal, characteristic, complemented
12C11×#553—22no—
13C11×#553—21no—
14C11×#552—21no—
15C11×#551—22no—
16C11×#548—21no—
17C11×#546—21no—
18C11×#539C2212yes—
19C11×#538C2212yes—
20C11×#534—21no—
21C11×#529—21no—
22C11×#525—21no—
23C2×C11×C22⋊Q8C2211yescharacteristic
24C2×C11×C22⋊Q8C2211yescharacteristic
25C2×C11×#121C2211yescharacteristic
26C11×#518—21no—
27C2×C4×D4×C11C2211yescharacteristic
28C11×#484—21no—
29C11×#484C2212yescomplemented
30C11×#483—21no—
31C11×#481C2212yes—
32C11×#467—22no—
33C11×#465—22no—
34C11×#451—21no—
35C11×#451C2212yescomplemented
36C11×#450—21no—
37C11×#448C2212yes—
38C2×C11×C22⋊C8C2211yescharacteristic
39C2×C11×C22⋊C8C2211yescharacteristic
40C11×#400C2211yescharacteristic, complemented
41C11×#399C2211yescharacteristic, complemented
42C11×#395C2211yescharacteristic, complemented
43C11×#393C2211yescharacteristic, complemented
44C11×#387—21no—
45C11×#386—21no—
46C11×#385—21no—
47C11×#380—21no—
48C2×C11×#95C2211yescharacteristic
49C11×#328C2212yescomplemented
50C11×#328C2212yescomplemented
51C11×#327C2212yes—
52C11×#327C2212yes—
53C11×#324C2212yescomplemented
54C11×#323C2212yescomplemented
55C2×C11×#41—21no—
56C22×Q8×C11D411yescharacteristic
57C22×Q8×C11C2311yescharacteristic
58C22×D4×C11—21no—
59C22×D4×C11D411yescharacteristic
60C22×D4×C11D411yescharacteristic
61C23×C4×C11—21no—
62C23×C4×C11D411yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C2×C11×Q16—22no—
65C2×C11×SD16—22no—
66C22×C8×C11—21no—
67C22×C8×C11—21no—
68C11×#126—22no—
69C11×#126—22no—
70C11×#126—22no—
71C11×#125—21no—
72C11×#125—22no—
73C11×#124—21no—
74C11×#124—22no—
75C11×#123—22no—
76C11×#123—22no—
77C11×#123—22no—
78C11×#123—22no—
79C11×#123—22no—
80C11×C22⋊Q8—21no—
81C11×C22⋊Q8—22no—
82C11×C22⋊Q8—21no—
83C11×C22⋊Q8—21no—
84C11×C22⋊Q8—21no—
85C11×C22⋊Q8—21no—
86C11×C22⋊Q8—21no—
87C11×C22⋊Q8—21no—
88C11×C22⋊Q8D412yes—
89C11×C22⋊Q8C2312yes—
90C11×#121—21no—
91C11×#121—22no—
92C11×#121—22no—
93C11×#121—22no—
94C11×#121—21no—
95C11×#121—21no—
96C11×#121D412yes—
97C11×#121C2312yes—
98C11×#120—22no—
99C11×#120—22no—
100C4×Q8×C11—21no—
101C4×D4×C11—22no—
102C4×D4×C11—22no—
103C4×D4×C11—22no—
104C4×D4×C11—21no—
105C4×D4×C11—21no—
106C4×D4×C11—21no—
107C4×D4×C11—21no—
108C4×D4×C11—21no—
109C4×D4×C11—22no—
110C4×D4×C11—22no—
111C11×#117—22no—
112C11×#117—21no—
113C11×#117—22no—
114C2×C11×C4⋊C4—21no—
115C2×C11×C4⋊C4—21no—
116C2×C11×C4⋊C4—21no—
117C2×C11×C4⋊C4—21no—
118C2×C11×C4⋊C4D411yescharacteristic
119C2×C11×C4⋊C4D411yescharacteristic
120C2×C11×C4⋊C4C2311yescharacteristic
121C2×C11×C4⋊C4C2311yescharacteristic
122C2×C11×C22⋊C4—22no—
123C2×C11×C22⋊C4—21no—
124C2×C11×C22⋊C4—21no—
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4D411yescharacteristic
129C2×C11×C22⋊C4C2311yescharacteristic
130C2×C42×C11D411yescharacteristic
131C11×#107—22no—
132C11×#106—22no—
133C11×#103—22no—
134C11×#103—22no—
135C11×#103—22no—
136C11×#102—22no—
137C11×C22⋊C8—21no—
138C11×C22⋊C8—21no—
139C11×C22⋊C8C2312yes—
140C11×C22⋊C8C2312yes—
141C11×#95—21no—
142C11×#95—21no—
143C11×#95—21no—
144C11×#95—21no—
145C11×#95—21no—
146C11×#95C2311yescharacteristic
147C11×#95C2311yescharacteristic
148#18385C1111yesmaximal, characteristic, direct product factor, Sylow
149C24×C11—21no—
150C24×C11C2×D411yescharacteristic
151C24×C11C2×D411yescharacteristic
152C11×#41—82no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—81no—
157C2×Q8×C11—81no—
158C2×Q8×C11C2×D412yes—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—21no—
168C2×D4×C11—42no—
169C2×D4×C11—42no—
170C2×D4×C11—81no—
171C2×D4×C11C2×D412yes—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—42no—
184C22×C4×C11—42no—
185C22×C4×C11—81no—
186C22×C4×C11—81no—
187C22×C4×C11—81no—
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2411yescharacteristic
197C11×Q16—82no—
198C11×SD16—82no—
199C2×C8×C11—22no—
200C2×C8×C11—22no—
201C2×C8×C11—81no—
202C2×C8×C11—81no—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—22no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—42no—
216C11×C4⋊C4—41no—
217C11×C4⋊C4—41no—
218C11×C4⋊C4—81no—
219C11×C4⋊C4C2×D412yes—
220C11×C4⋊C4C2×D412yes—
221C11×C22⋊C4—22no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—22no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—22no—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—21no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—21no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—21no—
234C11×C22⋊C4—21no—
235C11×C22⋊C4—42no—
236C11×C22⋊C4—41no—
237C11×C22⋊C4—41no—
238C11×C22⋊C4—81no—
239C42×C11—22no—
240C42×C11—22no—
241C42×C11—21no—
242C42×C11—21no—
243#3505C2×C1111yescharacteristic
244#3189C2×C1111yescharacteristic, complemented
245#3187C2×C1111yescharacteristic, complemented
246#2564C2×C1111yescharacteristic, complemented
247#1618C2×C1112yescomplemented
248#1615C2×C1112yescomplemented
249#1606C2×C1112yescomplemented
250#1603C2×C1112yescomplemented
251C2×#328C2×C1111yescharacteristic, complemented
252C2×#327C2×C1111yescharacteristic, complemented
253#1459C2×C1111yescharacteristic, complemented
254C23×C11—21no—
255C23×C11—22no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—42no—
263C23×C11—81no—
264C23×C11—81no—
265C23×C11#12011yescharacteristic
266C23×C11#12011yescharacteristic
267C23×C11#13512yes—
268C23×C11#13712yes—
269C23×C11C22×D411yescharacteristic
270Q8×C11—42no—
271Q8×C11—42no—
272Q8×C11—42no—
273Q8×C11—42no—
274D4×C11—42no—
275D4×C11—42no—
276D4×C11—42no—
277D4×C11—42no—
278D4×C11—42no—
279D4×C11—42no—
280D4×C11—44no—
281D4×C11—82no—
282D4×C11—82no—
283C2×C4×C11—22no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—21no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
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—42no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—42no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—81no—
314C2×C4×C11—81no—
315C2×C4×C11—81no—
316C2×C4×C11—82no—
317C2×C4×C11—82no—
318C2×C4×C11—84no—
319C2×C4×C11#12011yescharacteristic
320C2×C4×C11#12011yescharacteristic
321C2×C4×C11C22×D411yescharacteristic
322C2×C4×C11C22×D411yescharacteristic
323C8×C11—42no—
324C8×C11—42no—
325#553—22no—
326#553—21no—
327#552—21no—
328#551—22no—
329#548—21no—
330#546—21no—
331#539C22×C1112yes—
332#538C22×C1112yes—
333#534—21no—
334#529—21no—
335#525—21no—
336C2×C22⋊Q8C22×C1111yescharacteristic
337C2×C22⋊Q8C22×C1111yescharacteristic
338C2×#121C22×C1111yescharacteristic
339#518—21no—
340C2×C4×D4C22×C1111yescharacteristic
341#484—21no—
342#484C22×C1112yescomplemented
343#483—21no—
344#481C22×C1112yes—
345#467—22no—
346#465—22no—
347#451—21no—
348#451C22×C1112yescomplemented
349#450—21no—
350#448C22×C1112yes—
351C2×C22⋊C8C22×C1111yescharacteristic
352C2×C22⋊C8C22×C1111yescharacteristic
353#400C22×C1111yescharacteristic, complemented
354#399C22×C1111yescharacteristic, complemented
355#395C22×C1111yescharacteristic, complemented
356#393C22×C1111yescharacteristic, complemented
357#387—21no—
358#386—21no—
359#385—21no—
360#380—21no—
361C2×#95C22×C1111yescharacteristic
362#328C22×C1112yescomplemented
363#328C22×C1112yescomplemented
364#327C22×C1112yes—
365#327C22×C1112yes—
366#324C22×C1112yescomplemented
367#323C22×C1112yescomplemented
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—21no—
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—41no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—42no—
383C22×C11—81no—
384C22×C11—162no—
385C22×C11#45212yes—
386C22×C11#45212yes—
387C22×C11C2×#12011yescharacteristic
388C22×C11C2×#13511yescharacteristic
389C22×C11C2×#13711yescharacteristic
390C4×C11—21no—
391C4×C11—21no—
392C4×C11—21no—
393C4×C11—21no—
394C4×C11—42no—
395C4×C11—41no—
396C4×C11—42no—
397C4×C11—41no—
398C4×C11—42no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—81no—
402C4×C11—81no—
403C4×C11—81no—
404C2×#41—21no—
405C22×Q8D4×C1111yescharacteristic
406C22×Q8C23×C1111yescharacteristic
407C22×D4—21no—
408C22×D4D4×C1111yescharacteristic
409C22×D4D4×C1111yescharacteristic
410C23×C4—21no—
411C23×C4D4×C1111yescharacteristic
412C23×C4C23×C1111yescharacteristic
413C2×Q16—22no—
414C2×SD16—22no—
415C22×C8—21no—
416C22×C8—21no—
417#126—22no—
418#126—22no—
419#126—22no—
420#125—21no—
421#125—22no—
422#124—21no—
423#124—22no—
424#123—22no—
425#123—22no—
426#123—22no—
427#123—22no—
428#123—22no—
429C22⋊Q8—21no—
430C22⋊Q8—22no—
431C22⋊Q8—21no—
432C22⋊Q8—21no—
433C22⋊Q8—21no—
434C22⋊Q8—21no—
435C22⋊Q8—21no—
436C22⋊Q8—21no—
437C22⋊Q8D4×C1112yes—
438C22⋊Q8C23×C1112yes—
439#121—21no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—21no—
444#121—21no—
445#121D4×C1112yes—
446#121C23×C1112yes—
447#120—22no—
448#120—22no—
449C4×Q8—21no—
450C4×D4—22no—
451C4×D4—22no—
452C4×D4—22no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—21no—
457C4×D4—21no—
458C4×D4—22no—
459C4×D4—22no—
460#117—22no—
461#117—21no—
462#117—22no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4D4×C1111yescharacteristic
468C2×C4⋊C4D4×C1111yescharacteristic
469C2×C4⋊C4C23×C1111yescharacteristic
470C2×C4⋊C4C23×C1111yescharacteristic
471C2×C22⋊C4—22no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4D4×C1111yescharacteristic
478C2×C22⋊C4C23×C1111yescharacteristic
479C2×C42D4×C1111yescharacteristic
480#107—22no—
481#106—22no—
482#103—22no—
483#103—22no—
484#103—22no—
485#102—22no—
486C22⋊C8—21no—
487C22⋊C8—21no—
488C22⋊C8C23×C1112yes—
489C22⋊C8C23×C1112yes—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95C23×C1111yescharacteristic
496#95C23×C1111yescharacteristic
497C2×C11—21no—
498C2×C11—21no—
499C2×C11—22no—
500C2×C11—22no—
501C2×C11—81no—
502C2×C11—82no—
503C2×C11C2×#45211yescharacteristic
504C2×C11#301811yescharacteristic
505C2×C11#302611yescharacteristic
506C24—21no—
507C24C2×D4×C1111yescharacteristic
508C24C2×D4×C1111yescharacteristic
509#41—82no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—81no—
514C2×Q8—81no—
515C2×Q8C2×D4×C1112yes—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—81no—
528C2×D4C2×D4×C1112yes—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—81no—
543C22×C4—81no—
544C22×C4—81no—
545C22×C4C2×D4×C1111yescharacteristic
546C22×C4C2×D4×C1111yescharacteristic
547C22×C4C2×D4×C1111yescharacteristic
548C22×C4C2×D4×C1111yescharacteristic
549C22×C4C2×D4×C1111yescharacteristic
550C22×C4C2×D4×C1111yescharacteristic
551C22×C4C2×D4×C1111yescharacteristic
552C22×C4C2×D4×C1111yescharacteristic
553C22×C4C24×C1111yescharacteristic
554Q16—82no—
555SD16—82no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—81no—
559C2×C8—81no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—22no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—42no—
573C4⋊C4—41no—
574C4⋊C4—41no—
575C4⋊C4—81no—
576C4⋊C4C2×D4×C1112yes—
577C4⋊C4C2×D4×C1112yes—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—21no—
585C22⋊C4—22no—
586C22⋊C4—21no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—42no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—81no—
596C42—22no—
597C42—22no—
598C42—21no—
599C42—21no—
600C11#1838511yescharacteristic, direct product factor, Sylow
601C23—21no—
602C23—22no—
603C23—21no—
604C23—21no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—42no—
610C23—81no—
611C23—81no—
612C23C11×#12011yescharacteristic
613C23C11×#12011yescharacteristic
614C23C11×#13512yes—
615C23C11×#13712yes—
616C23C22×D4×C1111yescharacteristic
617Q8—42no—
618Q8—42no—
619Q8—42no—
620Q8—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—42no—
625D4—42no—
626D4—42no—
627D4—44no—
628D4—82no—
629D4—82no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—81no—
661C2×C4—81no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—82no—
665C2×C4—84no—
666C2×C4C11×#12011yescharacteristic
667C2×C4C11×#12011yescharacteristic
668C2×C4C22×D4×C1111yescharacteristic
669C2×C4C22×D4×C1111yescharacteristic
670C8—42no—
671C8—42no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—41no—
685C22—41no—
686C22—42no—
687C22—81no—
688C22—162no—
689C22C11×#45212yes—
690C22C11×#45212yes—
691C22C2×C11×#12011yescharacteristic
692C22C2×C11×#13511yescharacteristic
693C22C2×C11×#13711yescharacteristic
694C4—21no—
695C4—21no—
696C4—21no—
697C4—21no—
698C4—42no—
699C4—41no—
700C4—42no—
701C4—41no—
702C4—42no—
703C4—41no—
704C4—42no—
705C4—81no—
706C4—81no—
707C4—81no—
708C2—21no—
709C2—21no—
710C2—22no—
711C2—22no—
712C2—81no—
713C2—82no—
714C2C2×C11×#45211yescharacteristic
715C2C11×#301811yescharacteristic
716C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3505C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#3189C2semidirect
3. C11×#3187C2semidirect
4. C11×#2564C2semidirect
5. C11×#1618C2semidirect
6. C11×#1615C2semidirect
7. C11×#1606C2semidirect
8. C11×#1603C2semidirect
9. C2×C11×#328C2semidirect
10. C2×C11×#327C2semidirect
11. C11×#1459C2semidirect
29. C11×#484C22semidirect
35. C11×#451C22semidirect
40. C11×#400C22semidirect
41. C11×#399C22semidirect
42. C11×#395C22semidirect
43. C11×#393C22semidirect
49. C11×#328C22semidirect
50. C11×#328C22semidirect
53. C11×#324C22semidirect
54. C11×#323C22semidirect
148. #18385C11direct (N × H)
244. #3189C2×C11semidirect
245. #3187C2×C11semidirect
246. #2564C2×C11semidirect
247. #1618C2×C11semidirect
248. #1615C2×C11semidirect
249. #1606C2×C11semidirect
250. #1603C2×C11semidirect
251. C2×#328C2×C11semidirect
252. C2×#327C2×C11semidirect
253. #1459C2×C11semidirect
342. #484C22×C11semidirect
348. #451C22×C11semidirect
353. #400C22×C11semidirect
354. #399C22×C11semidirect
355. #395C22×C11semidirect
356. #393C22×C11semidirect
362. #328C22×C11semidirect
363. #328C22×C11semidirect
366. #324C22×C11semidirect
367. #323C22×C11semidirect
600. C11#18385direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35052
C11×#31892
C11×#31872
C11×#25642
C11×#16182
C11×#16152
C11×#16062
C11×#16032
C2×C11×#3282
C2×C11×#3272
C11×#14592
#1838511