Finite Group Databasebeta

← C11×#18418 #14595611

Subgroups — C11×#18418 #14595611

Order 2816.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3537C211yesmaximal, characteristic, complemented
2C11×#3192C211yesmaximal, characteristic, complemented
3C11×#3188C211yesmaximal, characteristic, complemented
4C11×#2656C211yesmaximal, characteristic, complemented
5C11×#1618C212yesmaximal, complemented
6C11×#1613C212yesmaximal, complemented
7C11×#1600C212yesmaximal, complemented
8C11×#1595C212yesmaximal, complemented
9C11×#1504C211yesmaximal, characteristic, complemented
10C2×C11×#327C211yesmaximal, characteristic, complemented
11C11×#1471C211yesmaximal, characteristic, complemented
12C11×#560—22no—
13C11×#553—21no—
14C11×#553—21no—
15D42×C11—22no—
16D42×C11—21no—
17D42×C11—21no—
18C11×#540—21no—
19C11×#538—21no—
20C11×#538C2212yes—
21C11×#535—21no—
22C11×#534—21no—
23C11×#534C2212yes—
24C11×#525C2211yescharacteristic
25C2×C11×#121—22no—
26C2×C11×#121C2211yescharacteristic
27C2×C11×#121C2211yescharacteristic
28C2×C11×#121C2211yescharacteristic, complemented
29C11×#484C2211yescharacteristic, complemented
30C11×#482—21no—
31C11×#481—21no—
32C11×#481C2211yescharacteristic, complemented
33C11×#481C2212yescomplemented
34C11×#469—22no—
35C11×#466—21no—
36C11×#465—21no—
37C11×#450C2211yescharacteristic, complemented
38C11×#449—21no—
39C11×#447—21no—
40C11×#447C2211yescharacteristic, complemented
41C11×#447C2212yescomplemented
42C11×#407C2211yescharacteristic, complemented
43C2×C11×C22⋊C8C2211yescharacteristic, complemented
44C11×#399—21no—
45C11×#399C2212yescomplemented
46C11×#392—21no—
47C11×#392C2212yescomplemented
48C2×C11×#95C2211yescharacteristic, complemented
49C11×#328C2212yescomplemented
50C11×#327C2212yescomplemented
51C11×#327C2212yescomplemented
52C11×#327C2212yescomplemented
53C11×#323C2212yescomplemented
54C11×#323C2212yescomplemented
55C2×C11×#41D411yescharacteristic, complemented
56C22×D4×C11—22no—
57C22×D4×C11—21no—
58C22×D4×C11—21no—
59C22×D4×C11—22no—
60C22×D4×C11—21no—
61C22×D4×C11—22no—
62C22×D4×C11D412yes—
63C22×D4×C11D411yescharacteristic
64C22×D4×C11D411yescharacteristic, complemented
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C23×C4×C11C2311yescharacteristic
68C2×C11×SD16—21no—
69C2×C11×D8—22no—
70C2×C11×D8—21no—
71C2×C11×M16—21no—
72C22×C8×C11—21no—
73C11×#127—22no—
74C11×#127—21no—
75C11×#126—22no—
76C11×#126—22no—
77C11×#125—21no—
78C11×#124—22no—
79C11×#123—22no—
80C11×#123—21no—
81C11×#123—22no—
82C11×#123—22no—
83C11×#123—22no—
84C11×C22⋊Q8D411yescharacteristic, complemented
85C11×C22⋊Q8C2311yescharacteristic
86C11×#121—22no—
87C11×#121—21no—
88C11×#121—21no—
89C11×#121—22no—
90C11×#121—22no—
91C11×#121—22no—
92C11×#121—22no—
93C11×#121—21no—
94C11×#121—21no—
95C11×#121—21no—
96C11×#121—21no—
97C11×#121—21no—
98C11×#121—21no—
99C11×#121—22no—
100C11×#121—21no—
101C11×#121—21no—
102C11×#121—21no—
103C11×#121—21no—
104C11×#121—48no—
105C11×#121D412yescomplemented
106C11×#121D411yescharacteristic, complemented
107C11×#121C2312yes—
108C11×#121C2311yescharacteristic
109C11×#120—22no—
110C11×#120—22no—
111C11×#120—22no—
112C11×#120—21no—
113C11×#120—22no—
114C11×#120—22no—
115C11×#120—22no—
116C4×D4×C11—22no—
117C4×D4×C11—21no—
118C4×D4×C11—21no—
119C4×D4×C11—21no—
120C4×D4×C11—21no—
121C4×D4×C11—22no—
122C11×#117—21no—
123C11×#117D411yescharacteristic, complemented
124C2×C11×C4⋊C4—22no—
125C2×C11×C4⋊C4D411yescharacteristic
126C2×C11×C4⋊C4D411yescharacteristic, complemented
127C2×C11×C4⋊C4C2311yescharacteristic
128C2×C11×C22⋊C4—21no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4—21no—
132C2×C11×C22⋊C4C2312yes—
133C11×#107—21no—
134C11×#106—21no—
135C11×#106—22no—
136C11×#103—21no—
137C11×#102—22no—
138C11×#102—21no—
139C11×#102—21no—
140C11×#102—22no—
141C11×#102—21no—
142C11×C22⋊C8—21no—
143C11×C22⋊C8—21no—
144C11×C22⋊C8C2311yescharacteristic
145C11×C22⋊C8C2311yescharacteristic
146C11×C22⋊C8C2312yes—
147C11×#95—21no—
148C11×#95C2312yes—
149#18418C1111yesmaximal, characteristic, direct product factor, Sylow
150C24×C11—22no—
151C24×C11—21no—
152C24×C11—21no—
153C24×C11C2×D411yescharacteristic
154C24×C11C2×D412yes—
155C11×#41—81no—
156C2×Q8×C11C2×D411yescharacteristic
157C2×D4×C11—22no—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—22no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—22no—
164C2×D4×C11—22no—
165C2×D4×C11—22no—
166C2×D4×C11—21no—
167C2×D4×C11—22no—
168C2×D4×C11—22no—
169C2×D4×C11—21no—
170C2×D4×C11—21no—
171C2×D4×C11—21no—
172C2×D4×C11—21no—
173C2×D4×C11—21no—
174C2×D4×C11—44no—
175C2×D4×C11—44no—
176C2×D4×C11—44no—
177C2×D4×C11—41no—
178C2×D4×C11—41no—
179C2×D4×C11—81no—
180C2×D4×C11—81no—
181C2×D4×C11—82no—
182C2×D4×C11—81no—
183C2×D4×C11—82no—
184C2×D4×C11—82no—
185C2×D4×C11—81no—
186C2×D4×C11—81no—
187C2×D4×C11—82no—
188C2×D4×C11—82no—
189C2×D4×C11—84no—
190C2×D4×C11C2×D411yescharacteristic
191C2×D4×C11C2×D412yes—
192C22×C4×C11—22no—
193C22×C4×C11—22no—
194C22×C4×C11—22no—
195C22×C4×C11—24no—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—21no—
199C22×C4×C11—81no—
200C22×C4×C11—81no—
201C22×C4×C11—81no—
202C22×C4×C11C2×D412yes—
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2411yescharacteristic
209C11×SD16—81no—
210C11×D8—82no—
211C11×D8—81no—
212C11×M16—81no—
213C2×C8×C11—21no—
214C2×C8×C11—22no—
215C2×C8×C11—21no—
216C2×C8×C11—81no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—22no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—44no—
227C11×C4⋊C4C2×D412yes—
228C11×C4⋊C4C2×D411yescharacteristic
229C11×C4⋊C4C2×D411yescharacteristic
230C11×C22⋊C4—22no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—22no—
233C11×C22⋊C4—22no—
234C11×C22⋊C4—22no—
235C11×C22⋊C4—21no—
236C11×C22⋊C4—21no—
237C11×C22⋊C4—21no—
238C11×C22⋊C4—22no—
239C11×C22⋊C4—21no—
240C11×C22⋊C4—22no—
241C11×C22⋊C4—22no—
242C11×C22⋊C4—22no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—44no—
245C11×C22⋊C4—44no—
246C11×C22⋊C4—41no—
247C11×C22⋊C4—41no—
248C42×C11—22no—
249C42×C11—21no—
250#3537C2×C1111yescharacteristic, complemented
251#3192C2×C1111yescharacteristic, complemented
252#3188C2×C1111yescharacteristic, complemented
253#2656C2×C1111yescharacteristic, complemented
254#1618C2×C1112yescomplemented
255#1613C2×C1112yescomplemented
256#1600C2×C1112yescomplemented
257#1595C2×C1112yescomplemented
258#1504C2×C1111yescharacteristic, complemented
259C2×#327C2×C1111yescharacteristic, complemented
260#1471C2×C1111yescharacteristic, complemented
261C23×C11—21no—
262C23×C11—21no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—22no—
266C23×C11—21no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—41no—
270C23×C11—42no—
271C23×C11—42no—
272C23×C11—42no—
273C23×C11—42no—
274C23×C11—42no—
275C23×C11—41no—
276C23×C11—41no—
277C23×C11—41no—
278C23×C11—81no—
279C23×C11—81no—
280C23×C11—82no—
281C23×C11—82no—
282C23×C11—82no—
283C23×C11#12011yescharacteristic
284C23×C11#12011yescharacteristic
285C23×C11C22×D411yescharacteristic
286Q8×C11—41no—
287D4×C11—42no—
288D4×C11—41no—
289D4×C11—42no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—41no—
293D4×C11—41no—
294D4×C11—42no—
295D4×C11—41no—
296D4×C11—42no—
297D4×C11—41no—
298D4×C11—44no—
299D4×C11—42no—
300D4×C11—81no—
301D4×C11—82no—
302D4×C11—82no—
303D4×C11—81no—
304D4×C11—82no—
305D4×C11—82no—
306D4×C11—82no—
307D4×C11—82no—
308D4×C11—82no—
309D4×C11—88no—
310D4×C11—82no—
311D4×C11—82no—
312C2×C4×C11—24no—
313C2×C4×C11—21no—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—21no—
317C2×C4×C11—21no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—42no—
325C2×C4×C11—42no—
326C2×C4×C11—42no—
327C2×C4×C11—42no—
328C2×C4×C11—42no—
329C2×C4×C11—41no—
330C2×C4×C11—81no—
331C2×C4×C11—84no—
332C2×C4×C11—82no—
333C2×C4×C11—82no—
334C2×C4×C11#12011yescharacteristic
335C2×C4×C11#12011yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C2×C4×C11C22×D411yescharacteristic
338C8×C11—41no—
339C8×C11—41no—
340C8×C11—42no—
341#560—22no—
342#553—21no—
343#553—21no—
344D42—22no—
345D42—21no—
346D42—21no—
347#540—21no—
348#538—21no—
349#538C22×C1112yes—
350#535—21no—
351#534—21no—
352#534C22×C1112yes—
353#525C22×C1111yescharacteristic
354C2×#121—22no—
355C2×#121C22×C1111yescharacteristic
356C2×#121C22×C1111yescharacteristic
357C2×#121C22×C1111yescharacteristic, complemented
358#484C22×C1111yescharacteristic, complemented
359#482—21no—
360#481—21no—
361#481C22×C1111yescharacteristic, complemented
362#481C22×C1112yescomplemented
363#469—22no—
364#466—21no—
365#465—21no—
366#450C22×C1111yescharacteristic, complemented
367#449—21no—
368#447—21no—
369#447C22×C1111yescharacteristic, complemented
370#447C22×C1112yescomplemented
371#407C22×C1111yescharacteristic, complemented
372C2×C22⋊C8C22×C1111yescharacteristic, complemented
373#399—21no—
374#399C22×C1112yescomplemented
375#392—21no—
376#392C22×C1112yescomplemented
377C2×#95C22×C1111yescharacteristic, complemented
378#328C22×C1112yescomplemented
379#327C22×C1112yescomplemented
380#327C22×C1112yescomplemented
381#327C22×C1112yescomplemented
382#323C22×C1112yescomplemented
383#323C22×C1112yescomplemented
384C22×C11—21no—
385C22×C11—21no—
386C22×C11—21no—
387C22×C11—21no—
388C22×C11—21no—
389C22×C11—21no—
390C22×C11—21no—
391C22×C11—42no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—42no—
395C22×C11—41no—
396C22×C11—42no—
397C22×C11—42no—
398C22×C11—41no—
399C22×C11—41no—
400C22×C11—42no—
401C22×C11—42no—
402C22×C11—82no—
403C22×C11—82no—
404C22×C11—82no—
405C22×C11—82no—
406C22×C11—81no—
407C22×C11—81no—
408C22×C11—81no—
409C22×C11—162no—
410C22×C11—164no—
411C22×C11#45312yes—
412C22×C11C2×#12011yescharacteristic
413C22×C11#57611yescharacteristic
414C22×C11#57711yescharacteristic
415C4×C11—21no—
416C4×C11—21no—
417C4×C11—21no—
418C4×C11—21no—
419C4×C11—44no—
420C4×C11—42no—
421C4×C11—41no—
422C4×C11—42no—
423C4×C11—41no—
424C4×C11—41no—
425C4×C11—81no—
426C2×#41D4×C1111yescharacteristic, complemented
427C22×D4—22no—
428C22×D4—21no—
429C22×D4—21no—
430C22×D4—22no—
431C22×D4—21no—
432C22×D4—22no—
433C22×D4D4×C1112yes—
434C22×D4D4×C1111yescharacteristic
435C22×D4D4×C1111yescharacteristic, complemented
436C22×D4C23×C1111yescharacteristic
437C23×C4—21no—
438C23×C4C23×C1111yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C1111yescharacteristic, complemented
456C22⋊Q8C23×C1111yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121—48no—
476#121D4×C1112yescomplemented
477#121D4×C1111yescharacteristic, complemented
478#121C23×C1112yes—
479#121C23×C1111yescharacteristic
480#120—22no—
481#120—22no—
482#120—22no—
483#120—21no—
484#120—22no—
485#120—22no—
486#120—22no—
487C4×D4—22no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—22no—
493#117—21no—
494#117D4×C1111yescharacteristic, complemented
495C2×C4⋊C4—22no—
496C2×C4⋊C4D4×C1111yescharacteristic
497C2×C4⋊C4D4×C1111yescharacteristic, complemented
498C2×C4⋊C4C23×C1111yescharacteristic
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4—21no—
503C2×C22⋊C4C23×C1112yes—
504#107—21no—
505#106—21no—
506#106—22no—
507#103—21no—
508#102—22no—
509#102—21no—
510#102—21no—
511#102—22no—
512#102—21no—
513C22⋊C8—21no—
514C22⋊C8—21no—
515C22⋊C8C23×C1111yescharacteristic
516C22⋊C8C23×C1111yescharacteristic
517C22⋊C8C23×C1112yes—
518#95—21no—
519#95C23×C1112yes—
520C2×C11—21no—
521C2×C11—21no—
522C2×C11—22no—
523C2×C11—41no—
524C2×C11—82no—
525C2×C11—82no—
526C2×C11—81no—
527C2×C11—161no—
528C2×C11#301211yescharacteristic
529C2×C11C2×#45311yescharacteristic
530C2×C11#302611yescharacteristic
531C24—22no—
532C24—21no—
533C24—21no—
534C24C2×D4×C1111yescharacteristic
535C24C2×D4×C1112yes—
536#41—81no—
537C2×Q8C2×D4×C1111yescharacteristic
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—21no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—44no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—41no—
559C2×D4—41no—
560C2×D4—81no—
561C2×D4—81no—
562C2×D4—82no—
563C2×D4—81no—
564C2×D4—82no—
565C2×D4—82no—
566C2×D4—81no—
567C2×D4—81no—
568C2×D4—82no—
569C2×D4—82no—
570C2×D4—84no—
571C2×D4C2×D4×C1111yescharacteristic
572C2×D4C2×D4×C1112yes—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—24no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—81no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4C2×D4×C1112yes—
584C22×C4C2×D4×C1111yescharacteristic
585C22×C4C2×D4×C1111yescharacteristic
586C22×C4C2×D4×C1111yescharacteristic
587C22×C4C2×D4×C1111yescharacteristic
588C22×C4C2×D4×C1111yescharacteristic
589C22×C4C24×C1111yescharacteristic
590SD16—81no—
591D8—81no—
592D8—82no—
593M16—81no—
594C2×C8—21no—
595C2×C8—22no—
596C2×C8—21no—
597C2×C8—81no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—44no—
608C4⋊C4C2×D4×C1112yes—
609C4⋊C4C2×D4×C1111yescharacteristic
610C4⋊C4C2×D4×C1111yescharacteristic
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—21no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—21no—
625C22⋊C4—44no—
626C22⋊C4—44no—
627C22⋊C4—41no—
628C22⋊C4—41no—
629C42—22no—
630C42—21no—
631C11#1841811yescharacteristic, direct product factor, Sylow
632C23—21no—
633C23—21no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23C11×#12011yescharacteristic
655C23C11×#12011yescharacteristic
656C23C22×D4×C1111yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—42no—
666D4—41no—
667D4—42no—
668D4—41no—
669D4—44no—
670D4—42no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4C11×#12011yescharacteristic
706C2×C4C11×#12011yescharacteristic
707C2×C4C22×D4×C1111yescharacteristic
708C2×C4C22×D4×C1111yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22C11×#45312yes—
740C22C2×C11×#12011yescharacteristic
741C22C11×#57611yescharacteristic
742C22C11×#57711yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C11×#301211yescharacteristic
763C2C2×C11×#45311yescharacteristic
764C2C11×#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×#3537C2semidirect
2. C11×#3192C2semidirect
3. C11×#3188C2semidirect
4. C11×#2656C2semidirect
5. C11×#1618C2semidirect
6. C11×#1613C2semidirect
7. C11×#1600C2semidirect
8. C11×#1595C2semidirect
9. C11×#1504C2semidirect
10. C2×C11×#327C2semidirect
11. C11×#1471C2semidirect
28. C2×C11×#121C22semidirect
29. C11×#484C22semidirect
32. C11×#481C22semidirect
33. C11×#481C22semidirect
37. C11×#450C22semidirect
40. C11×#447C22semidirect
41. C11×#447C22semidirect
42. C11×#407C22semidirect
43. C2×C11×C22⋊C8C22semidirect
45. C11×#399C22semidirect
47. C11×#392C22semidirect
48. C2×C11×#95C22semidirect
49. C11×#328C22semidirect
50. C11×#327C22semidirect
51. C11×#327C22semidirect
52. C11×#327C22semidirect
53. C11×#323C22semidirect
54. C11×#323C22semidirect
55. C2×C11×#41D4semidirect
64. C22×D4×C11D4semidirect
84. C11×C22⋊Q8D4semidirect
105. C11×#121D4semidirect
106. C11×#121D4semidirect
123. C11×#117D4semidirect
126. C2×C11×C4⋊C4D4semidirect
149. #18418C11direct (N × H)
250. #3537C2×C11semidirect
251. #3192C2×C11semidirect
252. #3188C2×C11semidirect
253. #2656C2×C11semidirect
254. #1618C2×C11semidirect
255. #1613C2×C11semidirect
256. #1600C2×C11semidirect
257. #1595C2×C11semidirect
258. #1504C2×C11semidirect
259. C2×#327C2×C11semidirect
260. #1471C2×C11semidirect
357. C2×#121C22×C11semidirect
358. #484C22×C11semidirect
361. #481C22×C11semidirect
362. #481C22×C11semidirect
366. #450C22×C11semidirect
369. #447C22×C11semidirect
370. #447C22×C11semidirect
371. #407C22×C11semidirect
372. C2×C22⋊C8C22×C11semidirect
374. #399C22×C11semidirect
376. #392C22×C11semidirect
377. C2×#95C22×C11semidirect
378. #328C22×C11semidirect
379. #327C22×C11semidirect
380. #327C22×C11semidirect
381. #327C22×C11semidirect
382. #323C22×C11semidirect
383. #323C22×C11semidirect
426. C2×#41D4×C11semidirect
435. C22×D4D4×C11semidirect
455. C22⋊Q8D4×C11semidirect
476. #121D4×C11semidirect
477. #121D4×C11semidirect
494. #117D4×C11semidirect
497. C2×C4⋊C4D4×C11semidirect
631. C11#18418direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35372
C11×#31922
C11×#31882
C11×#26562
C11×#16182
C11×#16132
C11×#16002
C11×#15952
C11×#15042
C2×C11×#3272
C11×#14712
#1841811