Finite Group Databasebeta

← C11×#18198 #14595391

Subgroups — C11×#18198 #14595391

Order 2816.

1396 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3505C211yesmaximal, characteristic, complemented
2C2×C11×#450C211yesmaximal, characteristic, complemented
3C2×C11×#447C211yesmaximal, characteristic, complemented
4C11×#2408C211yesmaximal, characteristic, complemented
5C11×#1600C214yesmaximal, complemented
6C11×#1597C214yesmaximal, complemented
7C11×#1520C211yesmaximal, characteristic, complemented
8C11×#1519C211yesmaximal, characteristic, complemented
9C11×#1459C211yesmaximal, characteristic, complemented
10C23×D4×C11C2211yescharacteristic
11C22×C11×SD16—21no—
12C22×C11×D8—21no—
13C11×#553—22no—
14C11×#553—21no—
15C11×#552—21no—
16C11×#551—22no—
17C11×#548—21no—
18C11×#546—21no—
19C11×#539C2212yescomplemented
20C11×#538C2212yescomplemented
21C11×#534—21no—
22C11×#529—21no—
23C11×#525—21no—
24C2×C11×C22⋊Q8C2211yescharacteristic
25C2×C11×#121—21no—
26C2×C11×#121C2211yescharacteristic
27C2×C11×#120—21no—
28C11×#518—21no—
29C2×C4×D4×C11C2211yescharacteristic
30C11×#450—22no—
31C11×#450C2214yescomplemented
32C11×#447—22no—
33C11×#447C2214yes—
34C2×C11×#102—21no—
35C2×C11×#102—21no—
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×C11×C22⋊C8C2211yescharacteristic
38C11×#394C2212yescomplemented
39C11×#392C2212yescomplemented
40C11×#390—21no—
41C11×#380C2211yescharacteristic
42C11×#379—21no—
43C11×#328C2214yescomplemented
44C11×#327C2214yescomplemented
45C11×#324C2212yescomplemented
46C11×#323C2212yescomplemented
47C25×C11—21no—
48C2×C11×#41—21no—
49C22×Q8×C11D411yescharacteristic, complemented
50C22×D4×C11—21no—
51C22×D4×C11—22no—
52C22×D4×C11—21no—
53C22×D4×C11—21no—
54C22×D4×C11—21no—
55C22×D4×C11—21no—
56C22×D4×C11—21no—
57C22×D4×C11—44no—
58C22×D4×C11D411yescharacteristic
59C22×D4×C11D411yescharacteristic, complemented
60C22×D4×C11C2312yes—
61C23×C4×C11D411yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C2×C11×SD16—24no—
64C2×C11×SD16—44no—
65C2×C11×D8—24no—
66C2×C11×D8—44no—
67C22×C8×C11—21no—
68C22×C8×C11—21no—
69C11×#126—22no—
70C11×#126—22no—
71C11×#126—22no—
72C11×#125—21no—
73C11×#125—22no—
74C11×#124—21no—
75C11×#124—22no—
76C11×#123—22no—
77C11×#123—22no—
78C11×#123—22no—
79C11×#123—22no—
80C11×#123—22no—
81C11×C22⋊Q8—21no—
82C11×C22⋊Q8—22no—
83C11×C22⋊Q8—21no—
84C11×C22⋊Q8—21no—
85C11×C22⋊Q8D412yescomplemented
86C11×C22⋊Q8C2312yes—
87C11×#121—21no—
88C11×#121—22no—
89C11×#121—22no—
90C11×#121—22no—
91C11×#121—21no—
92C11×#121—21no—
93C11×#121—44no—
94C11×#121D412yescomplemented
95C11×#121C2312yes—
96C11×#120—22no—
97C11×#120—22no—
98C11×#120—44no—
99C4×Q8×C11—21no—
100C4×D4×C11—22no—
101C4×D4×C11—22no—
102C4×D4×C11—22no—
103C4×D4×C11—21no—
104C4×D4×C11—21no—
105C4×D4×C11—21no—
106C4×D4×C11—21no—
107C4×D4×C11—21no—
108C4×D4×C11—22no—
109C4×D4×C11—22no—
110C11×#117—22no—
111C11×#117—21no—
112C11×#117—22no—
113C2×C11×C4⋊C4—21no—
114C2×C11×C4⋊C4—21no—
115C2×C11×C4⋊C4D411yescharacteristic, complemented
116C2×C11×C4⋊C4D411yescharacteristic, complemented
117C2×C11×C4⋊C4C2311yescharacteristic
118C2×C11×C22⋊C4—22no—
119C2×C11×C22⋊C4—21no—
120C2×C11×C22⋊C4—21no—
121C2×C11×C22⋊C4—21no—
122C2×C11×C22⋊C4—22no—
123C2×C11×C22⋊C4—22no—
124C2×C11×C22⋊C4—22no—
125C2×C11×C22⋊C4D411yescharacteristic
126C2×C11×C22⋊C4C2311yescharacteristic
127C2×C42×C11D411yescharacteristic
128C11×#102—24no—
129C11×#102—24no—
130C11×C22⋊C8—21no—
131C11×C22⋊C8—21no—
132C11×C22⋊C8C2312yes—
133C11×C22⋊C8C2312yes—
134C11×#95C2312yes—
135#18198C1111yesmaximal, characteristic, direct product factor, Sylow
136C24×C11—22no—
137C24×C11—21no—
138C24×C11—44no—
139C24×C11—41no—
140C24×C11—41no—
141C24×C11—42no—
142C24×C11—42no—
143C24×C11—82no—
144C24×C11C2×D411yescharacteristic
145C24×C11C2×D411yescharacteristic
146C11×#41—82no—
147C2×Q8×C11—21no—
148C2×Q8×C11—42no—
149C2×Q8×C11C2×D412yes—
150C2×D4×C11—24no—
151C2×D4×C11—24no—
152C2×D4×C11—24no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—22no—
156C2×D4×C11—22no—
157C2×D4×C11—22no—
158C2×D4×C11—22no—
159C2×D4×C11—22no—
160C2×D4×C11—22no—
161C2×D4×C11—21no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—42no—
165C2×D4×C11—42no—
166C2×D4×C11—42no—
167C2×D4×C11—42no—
168C2×D4×C11—44no—
169C2×D4×C11—44no—
170C2×D4×C11—44no—
171C2×D4×C11—42no—
172C2×D4×C11—42no—
173C2×D4×C11—44no—
174C2×D4×C11—44no—
175C2×D4×C11—41no—
176C2×D4×C11—41no—
177C2×D4×C11—82no—
178C2×D4×C11C2×D412yes—
179C22×C4×C11—21no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—22no—
187C22×C4×C11—42no—
188C22×C4×C11—42no—
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×C11C2×D411yescharacteristic
197C22×C4×C11C2411yescharacteristic
198C11×SD16—48no—
199C11×D8—48no—
200C2×C8×C11—22no—
201C2×C8×C11—22no—
202C2×C8×C11—42no—
203C2×C8×C11—42no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4—22no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—42no—
215C11×C4⋊C4C2×D412yes—
216C11×C4⋊C4C2×D412yes—
217C11×C22⋊C4—22no—
218C11×C22⋊C4—22no—
219C11×C22⋊C4—22no—
220C11×C22⋊C4—22no—
221C11×C22⋊C4—22no—
222C11×C22⋊C4—22no—
223C11×C22⋊C4—21no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—21no—
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—21no—
230C11×C22⋊C4—21no—
231C11×C22⋊C4—44no—
232C11×C22⋊C4—44no—
233C11×C22⋊C4—42no—
234C11×C22⋊C4—82no—
235C42×C11—22no—
236C42×C11—22no—
237C42×C11—21no—
238C42×C11—21no—
239#3505C2×C1111yescharacteristic, complemented
240C2×#450C2×C1111yescharacteristic, complemented
241C2×#447C2×C1111yescharacteristic, complemented
242#2408C2×C1111yescharacteristic, complemented
243#1600C2×C1114yescomplemented
244#1597C2×C1114yescomplemented
245#1520C2×C1111yescharacteristic, complemented
246#1519C2×C1111yescharacteristic, complemented
247#1459C2×C1111yescharacteristic, complemented
248C23×C11—24no—
249C23×C11—21no—
250C23×C11—22no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—42no—
258C23×C11—44no—
259C23×C11—44no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—42no—
265C23×C11—42no—
266C23×C11—81no—
267C23×C11—81no—
268C23×C11—82no—
269C23×C11—82no—
270C23×C11—88no—
271C23×C11—88no—
272C23×C11—82no—
273C23×C11—82no—
274C23×C11#12011yescharacteristic
275C23×C11#12011yescharacteristic
276C23×C11#13512yes—
277C23×C11AGL(1,ℤ/8)12yes—
278C23×C11C22×D411yescharacteristic
279Q8×C11—42no—
280Q8×C11—42no—
281D4×C11—24no—
282D4×C11—24no—
283D4×C11—42no—
284D4×C11—44no—
285D4×C11—42no—
286D4×C11—42no—
287D4×C11—42no—
288D4×C11—42no—
289D4×C11—42no—
290D4×C11—42no—
291D4×C11—44no—
292D4×C11—44no—
293D4×C11—42no—
294D4×C11—82no—
295D4×C11—82no—
296D4×C11—88no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—21no—
301C2×C4×C11—21no—
302C2×C4×C11—22no—
303C2×C4×C11—21no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—21no—
307C2×C4×C11—21no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—42no—
312C2×C4×C11—42no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—42no—
316C2×C4×C11—42no—
317C2×C4×C11—42no—
318C2×C4×C11—81no—
319C2×C4×C11—81no—
320C2×C4×C11—81no—
321C2×C4×C11—82no—
322C2×C4×C11—82no—
323C2×C4×C11#12011yescharacteristic
324C2×C4×C11#12011yescharacteristic
325C2×C4×C11C22×D411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C8×C11—42no—
328C8×C11—42no—
329C23×D4C22×C1111yescharacteristic
330C22×SD16—21no—
331C22×D8—21no—
332#553—22no—
333#553—21no—
334#552—21no—
335#551—22no—
336#548—21no—
337#546—21no—
338#539C22×C1112yescomplemented
339#538C22×C1112yescomplemented
340#534—21no—
341#529—21no—
342#525—21no—
343C2×C22⋊Q8C22×C1111yescharacteristic
344C2×#121—21no—
345C2×#121C22×C1111yescharacteristic
346C2×#120—21no—
347#518—21no—
348C2×C4×D4C22×C1111yescharacteristic
349#450—22no—
350#450C22×C1114yescomplemented
351#447—22no—
352#447C22×C1114yes—
353C2×#102—21no—
354C2×#102—21no—
355C2×C22⋊C8C22×C1111yescharacteristic
356C2×C22⋊C8C22×C1111yescharacteristic
357#394C22×C1112yescomplemented
358#392C22×C1112yescomplemented
359#390—21no—
360#380C22×C1111yescharacteristic
361#379—21no—
362#328C22×C1114yescomplemented
363#327C22×C1114yescomplemented
364#324C22×C1112yescomplemented
365#323C22×C1112yescomplemented
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—21no—
371C22×C11—21no—
372C22×C11—42no—
373C22×C11—42no—
374C22×C11—42no—
375C22×C11—44no—
376C22×C11—44no—
377C22×C11—41no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—42no—
383C22×C11—44no—
384C22×C11—81no—
385C22×C11—82no—
386C22×C11—82no—
387C22×C11—88no—
388C22×C11—88no—
389C22×C11—82no—
390C22×C11—82no—
391C22×C11—162no—
392C22×C11#44912yes—
393C22×C11#44912yes—
394C22×C11C2×#12011yescharacteristic
395C22×C11C2×#13511yescharacteristic
396C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
397C4×C11—21no—
398C4×C11—21no—
399C4×C11—21no—
400C4×C11—41no—
401C4×C11—42no—
402C4×C11—41no—
403C4×C11—42no—
404C4×C11—41no—
405C4×C11—42no—
406C4×C11—82no—
407C4×C11B(4,𝔽2)12yes—
408C25—21no—
409C2×#41—21no—
410C22×Q8D4×C1111yescharacteristic, complemented
411C22×D4—21no—
412C22×D4—22no—
413C22×D4—21no—
414C22×D4—21no—
415C22×D4—21no—
416C22×D4—21no—
417C22×D4—21no—
418C22×D4—44no—
419C22×D4D4×C1111yescharacteristic
420C22×D4D4×C1111yescharacteristic, complemented
421C22×D4C23×C1112yes—
422C23×C4D4×C1111yescharacteristic
423C23×C4C23×C1111yescharacteristic
424C2×SD16—24no—
425C2×SD16—44no—
426C2×D8—24no—
427C2×D8—44no—
428C22×C8—21no—
429C22×C8—21no—
430#126—22no—
431#126—22no—
432#126—22no—
433#125—21no—
434#125—22no—
435#124—21no—
436#124—22no—
437#123—22no—
438#123—22no—
439#123—22no—
440#123—22no—
441#123—22no—
442C22⋊Q8—21no—
443C22⋊Q8—22no—
444C22⋊Q8—21no—
445C22⋊Q8—21no—
446C22⋊Q8D4×C1112yescomplemented
447C22⋊Q8C23×C1112yes—
448#121—21no—
449#121—22no—
450#121—22no—
451#121—22no—
452#121—21no—
453#121—21no—
454#121—44no—
455#121D4×C1112yescomplemented
456#121C23×C1112yes—
457#120—22no—
458#120—22no—
459#120—44no—
460C4×Q8—21no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—22no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—21no—
469C4×D4—22no—
470C4×D4—22no—
471#117—22no—
472#117—21no—
473#117—22no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4D4×C1111yescharacteristic, complemented
477C2×C4⋊C4D4×C1111yescharacteristic, complemented
478C2×C4⋊C4C23×C1111yescharacteristic
479C2×C22⋊C4—22no—
480C2×C22⋊C4—21no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4—22no—
486C2×C22⋊C4D4×C1111yescharacteristic
487C2×C22⋊C4C23×C1111yescharacteristic
488C2×C42D4×C1111yescharacteristic
489#102—24no—
490#102—24no—
491C22⋊C8—21no—
492C22⋊C8—21no—
493C22⋊C8C23×C1112yes—
494C22⋊C8C23×C1112yes—
495#95C23×C1112yes—
496C2×C11—21no—
497C2×C11—21no—
498C2×C11—22no—
499C2×C11—22no—
500C2×C11—81no—
501C2×C11—84no—
502C2×C11—82no—
503C2×C11C2×#44911yescharacteristic
504C2×C11#302111yescharacteristic
505C2×C11C2×B(4,𝔽2)11yescharacteristic
506C24—22no—
507C24—21no—
508C24—44no—
509C24—41no—
510C24—41no—
511C24—42no—
512C24—42no—
513C24—82no—
514C24C2×D4×C1111yescharacteristic
515C24C2×D4×C1111yescharacteristic
516#41—82no—
517C2×Q8—21no—
518C2×Q8—42no—
519C2×Q8C2×D4×C1112yes—
520C2×D4—24no—
521C2×D4—24no—
522C2×D4—24no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—44no—
539C2×D4—44no—
540C2×D4—44no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—44no—
544C2×D4—44no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4C2×D4×C1112yes—
549C22×C4—21no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—22no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4C2×D4×C1111yescharacteristic
560C22×C4C2×D4×C1111yescharacteristic
561C22×C4C2×D4×C1111yescharacteristic
562C22×C4C2×D4×C1111yescharacteristic
563C22×C4C2×D4×C1111yescharacteristic
564C22×C4C2×D4×C1111yescharacteristic
565C22×C4C2×D4×C1111yescharacteristic
566C22×C4C2×D4×C1111yescharacteristic
567C22×C4C24×C1111yescharacteristic
568SD16—48no—
569D8—48no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—42no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—42no—
585C4⋊C4C2×D4×C1112yes—
586C4⋊C4C2×D4×C1112yes—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—21no—
594C22⋊C4—22no—
595C22⋊C4—21no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—42no—
604C22⋊C4—82no—
605C42—22no—
606C42—22no—
607C42—21no—
608C42—21no—
609C11#1819811yescharacteristic, direct product factor, Sylow
610C23—24no—
611C23—21no—
612C23—22no—
613C23—21no—
614C23—21no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—44no—
621C23—44no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—81no—
629C23—81no—
630C23—82no—
631C23—82no—
632C23—88no—
633C23—88no—
634C23—82no—
635C23—82no—
636C23C11×#12011yescharacteristic
637C23C11×#12011yescharacteristic
638C23C11×#13512yes—
639C23C11×AGL(1,ℤ/8)12yes—
640C23C22×D4×C1111yescharacteristic
641Q8—42no—
642Q8—42no—
643D4—24no—
644D4—24no—
645D4—42no—
646D4—42no—
647D4—42no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—44no—
654D4—44no—
655D4—42no—
656D4—82no—
657D4—82no—
658D4—88no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—82no—
684C2×C4—82no—
685C2×C4C11×#12011yescharacteristic
686C2×C4C11×#12011yescharacteristic
687C2×C4C22×D4×C1111yescharacteristic
688C2×C4C22×D4×C1111yescharacteristic
689C8—42no—
690C8—42no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—44no—
702C22—41no—
703C22—42no—
704C22—42no—
705C22—41no—
706C22—41no—
707C22—42no—
708C22—44no—
709C22—81no—
710C22—82no—
711C22—82no—
712C22—88no—
713C22—88no—
714C22—82no—
715C22—82no—
716C22—162no—
717C22C11×#44912yes—
718C22C11×#44912yes—
719C22C2×C11×#12011yescharacteristic
720C22C2×C11×#13511yescharacteristic
721C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
722C4—21no—
723C4—21no—
724C4—21no—
725C4—41no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—42no—
731C4—82no—
732C4C11×B(4,𝔽2)12yes—
733C2—21no—
734C2—21no—
735C2—22no—
736C2—22no—
737C2—81no—
738C2—84no—
739C2—82no—
740C2C2×C11×#44911yescharacteristic
741C2C11×#302111yescharacteristic
742C2C2×C11×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
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
1. C11×#3505C2semidirect
2. C2×C11×#450C2semidirect
3. C2×C11×#447C2semidirect
4. C11×#2408C2semidirect
5. C11×#1600C2semidirect
6. C11×#1597C2semidirect
7. C11×#1520C2semidirect
8. C11×#1519C2semidirect
9. C11×#1459C2semidirect
19. C11×#539C22semidirect
20. C11×#538C22semidirect
31. C11×#450C22semidirect
38. C11×#394C22semidirect
39. C11×#392C22semidirect
43. C11×#328C22semidirect
44. C11×#327C22semidirect
45. C11×#324C22semidirect
46. C11×#323C22semidirect
49. C22×Q8×C11D4semidirect
59. C22×D4×C11D4semidirect
85. C11×C22⋊Q8D4semidirect
94. C11×#121D4semidirect
115. C2×C11×C4⋊C4D4semidirect
116. C2×C11×C4⋊C4D4semidirect
135. #18198C11direct (N × H)
239. #3505C2×C11semidirect
240. C2×#450C2×C11semidirect
241. C2×#447C2×C11semidirect
242. #2408C2×C11semidirect
243. #1600C2×C11semidirect
244. #1597C2×C11semidirect
245. #1520C2×C11semidirect
246. #1519C2×C11semidirect
247. #1459C2×C11semidirect
338. #539C22×C11semidirect
339. #538C22×C11semidirect
350. #450C22×C11semidirect
357. #394C22×C11semidirect
358. #392C22×C11semidirect
362. #328C22×C11semidirect
363. #327C22×C11semidirect
364. #324C22×C11semidirect
365. #323C22×C11semidirect
410. C22×Q8D4×C11semidirect
420. C22×D4D4×C11semidirect
446. C22⋊Q8D4×C11semidirect
455. #121D4×C11semidirect
476. C2×C4⋊C4D4×C11semidirect
477. C2×C4⋊C4D4×C11semidirect
609. C11#18198direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35052
C2×C11×#4502
C2×C11×#4472
C11×#24082
C11×#16002
C11×#15972
C11×#15202
C11×#15192
C11×#14592
#1819811