Finite Group Databasebeta

← C11×#18420 #14595613

Subgroups — C11×#18420 #14595613

Order 2816.

1108 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3536C211yesmaximal, characteristic, complemented
2C11×#3193C211yesmaximal, characteristic, complemented
3C11×#3188C211yesmaximal, characteristic, complemented
4C11×#2656C211yesmaximal, characteristic, complemented
5C11×#1618C212yesmaximal, complemented
6C11×#1614C212yesmaximal, complemented
7C11×#1600C212yesmaximal, complemented
8C11×#1596C212yesmaximal, complemented
9C11×#1504C211yesmaximal, characteristic, complemented
10C2×C11×#328C211yesmaximal, characteristic, complemented
11C11×#1471C211yesmaximal, characteristic, complemented
12C11×#562—22no—
13C11×#554—21no—
14C11×#548—21no—
15C11×#547—21no—
16C11×#546—22no—
17C11×#546—21no—
18C11×#543C2212yes—
19C11×#542—21no—
20C11×#539—21no—
21C11×#538C2212yes—
22C11×#537—21no—
23C11×#537—21no—
24C11×#525C2211yescharacteristic
25C2×C11×C22⋊Q8C2211yescharacteristic
26C2×C11×#121—22no—
27C2×C11×#121C2211yescharacteristic
28C2×C11×#121C2211yescharacteristic
29C11×#484C2211yescharacteristic
30C11×#484C2212yes—
31C11×#482—21no—
32C11×#481C2211yescharacteristic
33C11×#480—21no—
34C11×#468—22no—
35C11×#466—21no—
36C11×#465—21no—
37C11×#450C2211yescharacteristic
38C11×#450C2212yes—
39C11×#449—21no—
40C11×#448—21no—
41C11×#447C2211yescharacteristic
42C11×#407C2211yescharacteristic
43C2×C11×C22⋊C8C2211yescharacteristic
44C11×#399—21no—
45C11×#399C2212yes—
46C11×#392—21no—
47C11×#392C2212yes—
48C2×C11×#95C2211yescharacteristic
49C11×#328C2212yes—
50C11×#328C2212yes—
51C11×#328C2212yes—
52C11×#327C2212yes—
53C11×#323C2212yes—
54C11×#323C2212yes—
55C2×C11×#41—22no—
56C2×C11×#41—21no—
57C2×C11×#41D411yescharacteristic, complemented
58C22×Q8×C11D411yescharacteristic, complemented
59C22×D4×C11—21no—
60C22×D4×C11—22no—
61C22×D4×C11D412yes—
62C22×D4×C11D411yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C2×C11×SD16—22no—
67C2×C11×SD16—21no—
68C2×C11×D8—21no—
69C2×C11×M16—21no—
70C22×C8×C11—21no—
71C11×C4⋊Q8—21no—
72C11×#126—22no—
73C11×#125—22no—
74C11×#124—21no—
75C11×#124—22no—
76C11×#124—22no—
77C11×#123—22no—
78C11×#123—22no—
79C11×#123—22no—
80C11×#123—21no—
81C11×#123—22no—
82C11×C22⋊Q8—21no—
83C11×C22⋊Q8—22no—
84C11×C22⋊Q8—22no—
85C11×C22⋊Q8—22no—
86C11×C22⋊Q8—21no—
87C11×C22⋊Q8—21no—
88C11×C22⋊Q8—22no—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8D412yescomplemented
92C11×C22⋊Q8D411yescharacteristic, complemented
93C11×C22⋊Q8C2312yes—
94C11×C22⋊Q8C2311yescharacteristic
95C11×#121—21no—
96C11×#121—22no—
97C11×#121—22no—
98C11×#121—22no—
99C11×#121—22no—
100C11×#121—22no—
101C11×#121—21no—
102C11×#121—21no—
103C11×#121—21no—
104C11×#121—21no—
105C11×#121—21no—
106C11×#121—21no—
107C11×#121—21no—
108C11×#121—21no—
109C11×#121—48no—
110C11×#121D411yescharacteristic, complemented
111C11×#121C2311yescharacteristic
112C11×#120—21no—
113C11×#120—22no—
114C4×Q8×C11—21no—
115C4×D4×C11—22no—
116C4×D4×C11—21no—
117C4×D4×C11—21no—
118C4×D4×C11—21no—
119C4×D4×C11—22no—
120C11×#117D411yescharacteristic, complemented
121C2×C11×C4⋊C4—21no—
122C2×C11×C4⋊C4—21no—
123C2×C11×C4⋊C4—22no—
124C2×C11×C4⋊C4D411yescharacteristic
125C2×C11×C4⋊C4D411yescharacteristic, complemented
126C2×C11×C4⋊C4C2311yescharacteristic
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4—21no—
132C2×C11×C22⋊C4C2312yes—
133C11×#107—21no—
134C11×#107—22no—
135C11×#106—21no—
136C11×#103—22no—
137C11×#103—21no—
138C11×#102—21no—
139C11×#102—21no—
140C11×#102—21no—
141C11×#102—22no—
142C11×C22⋊C8—21no—
143C11×C22⋊C8—21no—
144C11×C22⋊C8C2312yes—
145C11×C22⋊C8C2311yescharacteristic
146C11×C22⋊C8C2311yescharacteristic
147C11×#95—21no—
148C11×#95C2312yes—
149#18420C1111yesmaximal, characteristic, direct product factor, Sylow
150C24×C11—21no—
151C24×C11C2×D411yescharacteristic
152C24×C11C2×D412yes—
153C11×#41—81no—
154C11×#41—84no—
155C11×#41—82no—
156C2×Q8×C11—22no—
157C2×Q8×C11—21no—
158C2×Q8×C11—81no—
159C2×Q8×C11C2×D411yescharacteristic
160C2×Q8×C11C2×D412yes—
161C2×D4×C11—21no—
162C2×D4×C11—22no—
163C2×D4×C11—21no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—21no—
167C2×D4×C11—22no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11—21no—
171C2×D4×C11—21no—
172C2×D4×C11—44no—
173C2×D4×C11—44no—
174C2×D4×C11—44no—
175C2×D4×C11—41no—
176C2×D4×C11—41no—
177C2×D4×C11—81no—
178C2×D4×C11—81no—
179C2×D4×C11—82no—
180C2×D4×C11—82no—
181C2×D4×C11C2×D411yescharacteristic
182C22×C4×C11—21no—
183C22×C4×C11—22no—
184C22×C4×C11—22no—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—24no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—81no—
192C22×C4×C11—81no—
193C22×C4×C11—81no—
194C22×C4×C11C2×D412yes—
195C22×C4×C11C2×D411yescharacteristic
196C22×C4×C11C2×D411yescharacteristic
197C22×C4×C11C2×D411yescharacteristic
198C22×C4×C11C2×D411yescharacteristic
199C22×C4×C11C2×D411yescharacteristic
200C22×C4×C11C2411yescharacteristic
201C11×SD16—82no—
202C11×SD16—81no—
203C11×D8—81no—
204C11×M16—81no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—22no—
208C2×C8×C11—81no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4—22no—
211C11×C4⋊C4—22no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—44no—
223C11×C4⋊C4C2×D411yescharacteristic
224C11×C4⋊C4C2×D412yes—
225C11×C4⋊C4C2×D411yescharacteristic
226C11×C22⋊C4—22no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—21no—
233C11×C22⋊C4—21no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—21no—
236C11×C22⋊C4—21no—
237C11×C22⋊C4—22no—
238C11×C22⋊C4—22no—
239C11×C22⋊C4—21no—
240C11×C22⋊C4—44no—
241C11×C22⋊C4—44no—
242C11×C22⋊C4—41no—
243C11×C22⋊C4—41no—
244C42×C11—22no—
245C42×C11—21no—
246#3536C2×C1111yescharacteristic, complemented
247#3193C2×C1111yescharacteristic, complemented
248#3188C2×C1111yescharacteristic, complemented
249#2656C2×C1111yescharacteristic, complemented
250#1618C2×C1112yescomplemented
251#1614C2×C1112yescomplemented
252#1600C2×C1112yescomplemented
253#1596C2×C1112yescomplemented
254#1504C2×C1111yescharacteristic, complemented
255C2×#328C2×C1111yescharacteristic, complemented
256#1471C2×C1111yescharacteristic, complemented
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—21no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—41no—
265C23×C11—42no—
266C23×C11—42no—
267C23×C11—42no—
268C23×C11—42no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11—41no—
272C23×C11#12011yescharacteristic
273C23×C11#12011yescharacteristic
274C23×C11C22×D411yescharacteristic
275Q8×C11—42no—
276Q8×C11—41no—
277Q8×C11—42no—
278Q8×C11—82no—
279D4×C11—41no—
280D4×C11—42no—
281D4×C11—41no—
282D4×C11—41no—
283D4×C11—42no—
284D4×C11—41no—
285D4×C11—41no—
286D4×C11—44no—
287D4×C11—42no—
288D4×C11—81no—
289D4×C11—82no—
290D4×C11—81no—
291D4×C11—82no—
292D4×C11—82no—
293D4×C11—88no—
294D4×C11—82no—
295D4×C11—82no—
296C2×C4×C11—24no—
297C2×C4×C11—21no—
298C2×C4×C11—22no—
299C2×C4×C11—21no—
300C2×C4×C11—22no—
301C2×C4×C11—21no—
302C2×C4×C11—22no—
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—42no—
310C2×C4×C11—42no—
311C2×C4×C11—42no—
312C2×C4×C11—42no—
313C2×C4×C11—42no—
314C2×C4×C11—42no—
315C2×C4×C11—41no—
316C2×C4×C11—81no—
317C2×C4×C11—84no—
318C2×C4×C11—82no—
319C2×C4×C11—82no—
320C2×C4×C11—82no—
321C2×C4×C11#12011yescharacteristic
322C2×C4×C11#12011yescharacteristic
323C2×C4×C11C22×D411yescharacteristic
324C2×C4×C11C22×D411yescharacteristic
325C8×C11—41no—
326C8×C11—41no—
327C8×C11—42no—
328#562—22no—
329#554—21no—
330#548—21no—
331#547—21no—
332#546—22no—
333#546—21no—
334#543C22×C1112yes—
335#542—21no—
336#539—21no—
337#538C22×C1112yes—
338#537—21no—
339#537—21no—
340#525C22×C1111yescharacteristic
341C2×C22⋊Q8C22×C1111yescharacteristic
342C2×#121—22no—
343C2×#121C22×C1111yescharacteristic
344C2×#121C22×C1111yescharacteristic
345#484C22×C1111yescharacteristic
346#484C22×C1112yes—
347#482—21no—
348#481C22×C1111yescharacteristic
349#480—21no—
350#468—22no—
351#466—21no—
352#465—21no—
353#450C22×C1111yescharacteristic
354#450C22×C1112yes—
355#449—21no—
356#448—21no—
357#447C22×C1111yescharacteristic
358#407C22×C1111yescharacteristic
359C2×C22⋊C8C22×C1111yescharacteristic
360#399—21no—
361#399C22×C1112yes—
362#392—21no—
363#392C22×C1112yes—
364C2×#95C22×C1111yescharacteristic
365#328C22×C1112yes—
366#328C22×C1112yes—
367#328C22×C1112yes—
368#327C22×C1112yes—
369#323C22×C1112yes—
370#323C22×C1112yes—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—21no—
374C22×C11—21no—
375C22×C11—21no—
376C22×C11—21no—
377C22×C11—21no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—41no—
381C22×C11—42no—
382C22×C11—41no—
383C22×C11—42no—
384C22×C11—41no—
385C22×C11—42no—
386C22×C11—82no—
387C22×C11—82no—
388C22×C11—82no—
389C22×C11—82no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11#45312yes—
394C22×C11C2×#12011yescharacteristic
395C22×C11#57711yescharacteristic
396C22×C11#57811yescharacteristic
397C4×C11—21no—
398C4×C11—21no—
399C4×C11—21no—
400C4×C11—21no—
401C4×C11—44no—
402C4×C11—41no—
403C4×C11—42no—
404C4×C11—42no—
405C4×C11—41no—
406C4×C11—41no—
407C4×C11—42no—
408C4×C11—81no—
409C2×#41—22no—
410C2×#41—21no—
411C2×#41D4×C1111yescharacteristic, complemented
412C22×Q8D4×C1111yescharacteristic, complemented
413C22×D4—21no—
414C22×D4—22no—
415C22×D4D4×C1112yes—
416C22×D4D4×C1111yescharacteristic
417C22×D4C23×C1111yescharacteristic
418C23×C4—21no—
419C23×C4C23×C1111yescharacteristic
420C2×SD16—22no—
421C2×SD16—21no—
422C2×D8—21no—
423C2×M16—21no—
424C22×C8—21no—
425C4⋊Q8—21no—
426#126—22no—
427#125—22no—
428#124—21no—
429#124—22no—
430#124—22no—
431#123—22no—
432#123—22no—
433#123—22no—
434#123—21no—
435#123—22no—
436C22⋊Q8—21no—
437C22⋊Q8—22no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8D4×C1112yescomplemented
446C22⋊Q8D4×C1111yescharacteristic, complemented
447C22⋊Q8C23×C1112yes—
448C22⋊Q8C23×C1111yescharacteristic
449#121—21no—
450#121—22no—
451#121—22no—
452#121—22no—
453#121—22no—
454#121—22no—
455#121—21no—
456#121—21no—
457#121—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—48no—
464#121D4×C1111yescharacteristic, complemented
465#121C23×C1111yescharacteristic
466#120—21no—
467#120—22no—
468C4×Q8—21no—
469C4×D4—22no—
470C4×D4—21no—
471C4×D4—21no—
472C4×D4—21no—
473C4×D4—22no—
474#117D4×C1111yescharacteristic, complemented
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—22no—
478C2×C4⋊C4D4×C1111yescharacteristic
479C2×C4⋊C4D4×C1111yescharacteristic, complemented
480C2×C4⋊C4C23×C1111yescharacteristic
481C2×C22⋊C4—21no—
482C2×C22⋊C4—22no—
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4C23×C1112yes—
487#107—21no—
488#107—22no—
489#106—21no—
490#103—22no—
491#103—21no—
492#102—21no—
493#102—21no—
494#102—21no—
495#102—22no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8C23×C1112yes—
499C22⋊C8C23×C1111yescharacteristic
500C22⋊C8C23×C1111yescharacteristic
501#95—21no—
502#95C23×C1112yes—
503C2×C11—21no—
504C2×C11—21no—
505C2×C11—22no—
506C2×C11—41no—
507C2×C11—81no—
508C2×C11—82no—
509C2×C11—161no—
510C2×C11#301311yescharacteristic
511C2×C11C2×#45311yescharacteristic
512C2×C11#302611yescharacteristic
513C24—21no—
514C24C2×D4×C1111yescharacteristic
515C24C2×D4×C1112yes—
516#41—81no—
517#41—84no—
518#41—82no—
519C2×Q8—22no—
520C2×Q8—21no—
521C2×Q8—81no—
522C2×Q8C2×D4×C1111yescharacteristic
523C2×Q8C2×D4×C1112yes—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—44no—
536C2×D4—44no—
537C2×D4—44no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—81no—
541C2×D4—81no—
542C2×D4—82no—
543C2×D4—82no—
544C2×D4C2×D4×C1111yescharacteristic
545C22×C4—21no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—24no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—81no—
555C22×C4—81no—
556C22×C4—81no—
557C22×C4C2×D4×C1112yes—
558C22×C4C2×D4×C1111yescharacteristic
559C22×C4C2×D4×C1111yescharacteristic
560C22×C4C2×D4×C1111yescharacteristic
561C22×C4C2×D4×C1111yescharacteristic
562C22×C4C2×D4×C1111yescharacteristic
563C22×C4C24×C1111yescharacteristic
564SD16—81no—
565SD16—82no—
566D8—81no—
567M16—81no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—22no—
571C2×C8—81no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—44no—
586C4⋊C4C2×D4×C1111yescharacteristic
587C4⋊C4C2×D4×C1112yes—
588C4⋊C4C2×D4×C1111yescharacteristic
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—22no—
601C22⋊C4—22no—
602C22⋊C4—21no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—41no—
606C22⋊C4—41no—
607C42—22no—
608C42—21no—
609C11#1842011yescharacteristic, direct product factor, Sylow
610C23—21no—
611C23—21no—
612C23—22no—
613C23—22no—
614C23—21no—
615C23—22no—
616C23—22no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23C11×#12011yescharacteristic
626C23C11×#12011yescharacteristic
627C23C22×D4×C1111yescharacteristic
628Q8—42no—
629Q8—41no—
630Q8—42no—
631Q8—82no—
632D4—41no—
633D4—42no—
634D4—41no—
635D4—41no—
636D4—42no—
637D4—41no—
638D4—41no—
639D4—44no—
640D4—42no—
641D4—81no—
642D4—82no—
643D4—81no—
644D4—82no—
645D4—82no—
646D4—88no—
647D4—82no—
648D4—82no—
649C2×C4—24no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—81no—
670C2×C4—84no—
671C2×C4—82no—
672C2×C4—82no—
673C2×C4—82no—
674C2×C4C11×#12011yescharacteristic
675C2×C4C11×#12011yescharacteristic
676C2×C4C22×D4×C1111yescharacteristic
677C2×C4C22×D4×C1111yescharacteristic
678C8—41no—
679C8—41no—
680C8—42no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—42no—
689C22—42no—
690C22—41no—
691C22—42no—
692C22—41no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—82no—
697C22—82no—
698C22—82no—
699C22—82no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22C11×#45312yes—
704C22C2×C11×#12011yescharacteristic
705C22C11×#57711yescharacteristic
706C22C11×#57811yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—44no—
712C4—41no—
713C4—42no—
714C4—42no—
715C4—41no—
716C4—41no—
717C4—42no—
718C4—81no—
719C2—21no—
720C2—21no—
721C2—22no—
722C2—41no—
723C2—82no—
724C2—81no—
725C2—161no—
726C2C11×#301311yescharacteristic
727C2C2×C11×#45311yescharacteristic
728C2C11×#302611yescharacteristic
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×#3536C2semidirect
2. C11×#3193C2semidirect
3. C11×#3188C2semidirect
4. C11×#2656C2semidirect
5. C11×#1618C2semidirect
6. C11×#1614C2semidirect
7. C11×#1600C2semidirect
8. C11×#1596C2semidirect
9. C11×#1504C2semidirect
10. C2×C11×#328C2semidirect
11. C11×#1471C2semidirect
57. C2×C11×#41D4semidirect
58. C22×Q8×C11D4semidirect
91. C11×C22⋊Q8D4semidirect
92. C11×C22⋊Q8D4semidirect
110. C11×#121D4semidirect
120. C11×#117D4semidirect
125. C2×C11×C4⋊C4D4semidirect
149. #18420C11direct (N × H)
246. #3536C2×C11semidirect
247. #3193C2×C11semidirect
248. #3188C2×C11semidirect
249. #2656C2×C11semidirect
250. #1618C2×C11semidirect
251. #1614C2×C11semidirect
252. #1600C2×C11semidirect
253. #1596C2×C11semidirect
254. #1504C2×C11semidirect
255. C2×#328C2×C11semidirect
256. #1471C2×C11semidirect
411. C2×#41D4×C11semidirect
412. C22×Q8D4×C11semidirect
445. C22⋊Q8D4×C11semidirect
446. C22⋊Q8D4×C11semidirect
464. #121D4×C11semidirect
474. #117D4×C11semidirect
479. C2×C4⋊C4D4×C11semidirect
609. C11#18420direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35362
C11×#31932
C11×#31882
C11×#26562
C11×#16182
C11×#16142
C11×#16002
C11×#15962
C11×#15042
C2×C11×#3282
C11×#14712
#1842011