Finite Group Databasebeta

← C11×#23955 #14601148

Subgroups — C11×#23955 #14601148

Order 2816.

1234 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3494C211yesmaximal, characteristic
2C11×#3004C211yesmaximal, characteristic, complemented
3C2×C11×#419C211yesmaximal, characteristic, complemented
4C11×#2436C211yesmaximal, characteristic, complemented
5C11×#2028C212yesmaximal, complemented
6C11×#2004C212yesmaximal, complemented
7C11×#1900C211yesmaximal, characteristic, complemented
8C11×#1885C212yesmaximal, complemented
9C11×#1882C212yesmaximal, complemented
10C11×#1871C211yesmaximal, characteristic, complemented
11C11×#1826C211yesmaximal, characteristic, complemented
12C23×Q8×C11C2211yescharacteristic
13C2×C11×#137C2212yes—
14C22×C11×M16C2211yescharacteristic
15C11×#555—21no—
16C11×#553—21no—
17C11×#553—21no—
18C11×#551—22no—
19C11×#547—21no—
20C11×#546—22no—
21C11×#544C2211yescharacteristic
22C11×#542—21no—
23C11×#540—21no—
24C11×#535C2211yescharacteristic
25C11×#532—21no—
26C11×#529—21no—
27C2×C11×#124C2212yes—
28C11×#525C2211yescharacteristic
29C2×C11×#121C2211yescharacteristic
30C11×#520C2211yescharacteristic
31C11×#518C2211yescharacteristic
32C2×C11×#117C2211yescharacteristic
33C11×#451—21no—
34C11×#451—21no—
35C11×#448—21no—
36C11×#448—21no—
37C2×C11×#104C2212yes—
38C11×#419—21no—
39C11×#419—21no—
40C11×#419C2212yes—
41C11×#419C2212yes—
42C11×#419C2212yes—
43C2×C11×#103—21no—
44C2×C11×#103—21no—
45C2×C11×#100C2212yes—
46C11×#407C2211yescharacteristic
47C11×#393—22no—
48C11×#391C2212yes—
49C11×#386—22no—
50C4×C11×C22⋊C4C2211yescharacteristic
51C11×#343C2212yes—
52C11×#339C2212yes—
53C11×#339C2212yes—
54C11×#339C2212yes—
55C2×C11×#41—22no—
56C2×C11×#41C2311yescharacteristic
57C22×Q8×C11—21no—
58C22×Q8×C11—24no—
59C22×Q8×C11—21no—
60C22×Q8×C11—21no—
61C22×Q8×C11—21no—
62C22×Q8×C11—21no—
63C22×Q8×C11—42no—
64C22×Q8×C11C2312yes—
65C22×D4×C11D412yes—
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11C2311yescharacteristic
69C11×#137—24no—
70C11×#137—42no—
71C2×C11×Q16—22no—
72C2×C11×SD16—22no—
73C2×C11×M16—21no—
74C2×C11×M16—42no—
75C2×C11×M16C2312yes—
76C2×C11×M16C2312yes—
77C22×C8×C11—21no—
78C11×C4⋊Q8—21no—
79C11×C4⋊Q8—21no—
80C11×#127—21no—
81C11×#126—22no—
82C11×#126—22no—
83C11×#125—21no—
84C11×#125—21no—
85C11×#124—22no—
86C11×#124—22no—
87C11×#124—21no—
88C11×#124—24no—
89C11×#124—42no—
90C11×#123—22no—
91C11×#123—22no—
92C11×#123—22no—
93C11×#123—22no—
94C11×#123—21no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—22no—
97C11×C22⋊Q8D411yescharacteristic
98C11×C22⋊Q8D411yescharacteristic
99C11×#121—22no—
100C11×#121—22no—
101C11×#121—22no—
102C11×#121—21no—
103C11×#121—21no—
104C11×#121—21no—
105C11×#121—21no—
106C11×#121—21no—
107C11×#121—21no—
108C11×#121D411yescharacteristic
109C11×#121D411yescharacteristic
110C11×#120—21no—
111C11×#120—22no—
112C4×Q8×C11—21no—
113C4×D4×C11—22no—
114C4×D4×C11—22no—
115C4×D4×C11—21no—
116C4×D4×C11—22no—
117C4×D4×C11—21no—
118C4×D4×C11—21no—
119C4×D4×C11—21no—
120C4×D4×C11—21no—
121C4×D4×C11—21no—
122C4×D4×C11—21no—
123C11×#117—22no—
124C11×#117—21no—
125C11×#117—21no—
126C11×#117—21no—
127C11×#117D411yescharacteristic
128C11×#117D411yescharacteristic
129C11×#117C2311yescharacteristic
130C11×#117C2311yescharacteristic
131C11×#117C2311yescharacteristic
132C2×C11×C4⋊C4—21no—
133C2×C11×C4⋊C4D411yescharacteristic
134C2×C11×C4⋊C4D411yescharacteristic
135C2×C11×C4⋊C4C2311yescharacteristic
136C2×C11×C22⋊C4—21no—
137C2×C11×C22⋊C4—22no—
138C2×C11×C22⋊C4—21no—
139C2×C11×C22⋊C4—24no—
140C2×C11×C22⋊C4D412yes—
141C2×C42×C11—21no—
142C2×C42×C11C2312yes—
143C11×#104—42no—
144C11×#103—22no—
145C11×#103—22no—
146C11×#103—22no—
147C11×#103—22no—
148C11×#103—22no—
149C11×#103—22no—
150C11×#100—42no—
151C11×C22⋊C8—21no—
152C11×C22⋊C8—21no—
153C11×#95—21no—
154C11×#95—24no—
155#23955C1111yesmaximal, characteristic, direct product factor, Sylow
156C24×C11C2×D411yescharacteristic
157C24×C11C2×D412yes—
158C11×#41—22no—
159C11×#41—22no—
160C11×#41—84no—
161C2×Q8×C11—22no—
162C2×Q8×C11—22no—
163C2×Q8×C11—24no—
164C2×Q8×C11—24no—
165C2×Q8×C11—22no—
166C2×Q8×C11—22no—
167C2×Q8×C11—22no—
168C2×Q8×C11—22no—
169C2×Q8×C11—44no—
170C2×Q8×C11—44no—
171C2×Q8×C11—44no—
172C2×Q8×C11—42no—
173C2×Q8×C11—42no—
174C2×Q8×C11—41no—
175C2×Q8×C11—41no—
176C2×Q8×C11C2×D411yescharacteristic
177C2×Q8×C11#4114yescomplemented
178C2×D4×C11—21no—
179C2×D4×C11—22no—
180C2×D4×C11—21no—
181C2×D4×C11—22no—
182C2×D4×C11—22no—
183C2×D4×C11—21no—
184C2×D4×C11—22no—
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—22no—
188C2×D4×C11—22no—
189C2×D4×C11—44no—
190C2×D4×C11C2×D411yescharacteristic
191C22×C4×C11—22no—
192C22×C4×C11—22no—
193C22×C4×C11—21no—
194C22×C4×C11—22no—
195C22×C4×C11—22no—
196C22×C4×C11—22no—
197C22×C4×C11—22no—
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11—22no—
201C22×C4×C11—44no—
202C22×C4×C11—41no—
203C22×C4×C11—41no—
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2×D412yes—
210C22×C4×C11C2411yescharacteristic
211C11×Q16—44no—
212C11×SD16—44no—
213C11×M16—22no—
214C11×M16—22no—
215C11×M16—22no—
216C11×M16—22no—
217C11×M16—42no—
218C2×C8×C11—22no—
219C2×C8×C11—22no—
220C2×C8×C11—42no—
221C11×C4⋊C4—22no—
222C11×C4⋊C4—22no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4C2×D411yescharacteristic
232C11×C4⋊C4C2×D411yescharacteristic
233C11×C4⋊C4C2×D411yescharacteristic
234C11×C4⋊C4C2×D411yescharacteristic
235C11×C4⋊C4C2×D411yescharacteristic
236C11×C4⋊C4C2×D411yescharacteristic
237C11×C22⋊C4—22no—
238C11×C22⋊C4—22no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—22no—
241C11×C22⋊C4—22no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—21no—
246C11×C22⋊C4—21no—
247C11×C22⋊C4—21no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—22no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—21no—
252C11×C22⋊C4—21no—
253C11×C22⋊C4—48no—
254C11×C22⋊C4—42no—
255C42×C11—22no—
256C42×C11—21no—
257C42×C11—21no—
258C42×C11—21no—
259C42×C11—21no—
260C42×C11—21no—
261C42×C11—22no—
262C42×C11—22no—
263#3494C2×C1111yescharacteristic
264#3004C2×C1111yescharacteristic, complemented
265C2×#419C2×C1111yescharacteristic, complemented
266#2436C2×C1111yescharacteristic, complemented
267#2028C2×C1112yescomplemented
268#2004C2×C1112yescomplemented
269#1900C2×C1111yescharacteristic, complemented
270#1885C2×C1112yescomplemented
271#1882C2×C1112yescomplemented
272#1871C2×C1111yescharacteristic, complemented
273#1826C2×C1111yescharacteristic, complemented
274C23×C11—22no—
275C23×C11—22no—
276C23×C11—22no—
277C23×C11—21no—
278C23×C11—24no—
279C23×C11—41no—
280C23×C11—42no—
281C23×C11—42no—
282C23×C11#12011yescharacteristic
283C23×C11#12011yescharacteristic
284C23×C11C22×D411yescharacteristic
285Q8×C11—24no—
286Q8×C11—24no—
287Q8×C11—22no—
288Q8×C11—44no—
289Q8×C11—44no—
290Q8×C11—42no—
291Q8×C11—42no—
292Q8×C11—82no—
293D4×C11—22no—
294D4×C11—42no—
295D4×C11—44no—
296D4×C11—42no—
297D4×C11—41no—
298D4×C11—41no—
299D4×C11—42no—
300D4×C11—81no—
301D4×C11—82no—
302D4×C11—82no—
303D4×C11—82no—
304C2×C4×C11—22no—
305C2×C4×C11—21no—
306C2×C4×C11—21no—
307C2×C4×C11—21no—
308C2×C4×C11—21no—
309C2×C4×C11—22no—
310C2×C4×C11—22no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—21no—
317C2×C4×C11—21no—
318C2×C4×C11—22no—
319C2×C4×C11—24no—
320C2×C4×C11—44no—
321C2×C4×C11—44no—
322C2×C4×C11—42no—
323C2×C4×C11—42no—
324C2×C4×C11—42no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—42no—
328C2×C4×C11—42no—
329C2×C4×C11—42no—
330C2×C4×C11—42no—
331C2×C4×C11—81no—
332C2×C4×C11—82no—
333C2×C4×C11—82no—
334C2×C4×C11—82no—
335C2×C4×C11#12011yescharacteristic
336C2×C4×C11#12011yescharacteristic
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C2×#4112yes—
340C2×C4×C11H(5,𝔽2)12yes—
341C8×C11—42no—
342C8×C11—42no—
343C23×Q8C22×C1111yescharacteristic
344C2×#137C22×C1112yes—
345C22×M16C22×C1111yescharacteristic
346#555—21no—
347#553—21no—
348#553—21no—
349#551—22no—
350#547—21no—
351#546—22no—
352#544C22×C1111yescharacteristic
353#542—21no—
354#540—21no—
355#535C22×C1111yescharacteristic
356#532—21no—
357#529—21no—
358C2×#124C22×C1112yes—
359#525C22×C1111yescharacteristic
360C2×#121C22×C1111yescharacteristic
361#520C22×C1111yescharacteristic
362#518C22×C1111yescharacteristic
363C2×#117C22×C1111yescharacteristic
364#451—21no—
365#451—21no—
366#448—21no—
367#448—21no—
368C2×#104C22×C1112yes—
369#419—21no—
370#419—21no—
371#419C22×C1112yes—
372#419C22×C1112yes—
373#419C22×C1112yes—
374C2×#103—21no—
375C2×#103—21no—
376C2×#100C22×C1112yes—
377#407C22×C1111yescharacteristic
378#393—22no—
379#391C22×C1112yes—
380#386—22no—
381C4×C22⋊C4C22×C1111yescharacteristic
382#343C22×C1112yes—
383#339C22×C1112yes—
384#339C22×C1112yes—
385#339C22×C1112yes—
386C22×C11—21no—
387C22×C11—21no—
388C22×C11—21no—
389C22×C11—21no—
390C22×C11—21no—
391C22×C11—21no—
392C22×C11—21no—
393C22×C11—44no—
394C22×C11—41no—
395C22×C11—42no—
396C22×C11—41no—
397C22×C11—42no—
398C22×C11—42no—
399C22×C11—41no—
400C22×C11—84no—
401C22×C11#45512yes—
402C22×C11C2×#12011yescharacteristic
403C22×C11#54612yes—
404C4×C11—21no—
405C4×C11—21no—
406C4×C11—44no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—42no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—41no—
414C4×C11—41no—
415C4×C11—82no—
416C4×C11#52511yescharacteristic
417C4×C11#53511yescharacteristic
418C4×C11#54612yes—
419C2×#41—22no—
420C2×#41C23×C1111yescharacteristic
421C22×Q8—21no—
422C22×Q8—24no—
423C22×Q8—21no—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8—21no—
427C22×Q8—42no—
428C22×Q8C23×C1112yes—
429C22×D4D4×C1112yes—
430C22×D4C23×C1111yescharacteristic
431C23×C4—21no—
432C23×C4C23×C1111yescharacteristic
433#137—24no—
434#137—42no—
435C2×Q16—22no—
436C2×SD16—22no—
437C2×M16—21no—
438C2×M16—42no—
439C2×M16C23×C1112yes—
440C2×M16C23×C1112yes—
441C22×C8—21no—
442C4⋊Q8—21no—
443C4⋊Q8—21no—
444#127—21no—
445#126—22no—
446#126—22no—
447#125—21no—
448#125—21no—
449#124—22no—
450#124—22no—
451#124—21no—
452#124—24no—
453#124—42no—
454#123—22no—
455#123—22no—
456#123—22no—
457#123—22no—
458#123—21no—
459C22⋊Q8—22no—
460C22⋊Q8—22no—
461C22⋊Q8D4×C1111yescharacteristic
462C22⋊Q8D4×C1111yescharacteristic
463#121—22no—
464#121—22no—
465#121—22no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—21no—
471#121—21no—
472#121D4×C1111yescharacteristic
473#121D4×C1111yescharacteristic
474#120—21no—
475#120—22no—
476C4×Q8—21no—
477C4×D4—22no—
478C4×D4—22no—
479C4×D4—21no—
480C4×D4—22no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—21no—
485C4×D4—21no—
486C4×D4—21no—
487#117—22no—
488#117—21no—
489#117—21no—
490#117—21no—
491#117D4×C1111yescharacteristic
492#117D4×C1111yescharacteristic
493#117C23×C1111yescharacteristic
494#117C23×C1111yescharacteristic
495#117C23×C1111yescharacteristic
496C2×C4⋊C4—21no—
497C2×C4⋊C4D4×C1111yescharacteristic
498C2×C4⋊C4D4×C1111yescharacteristic
499C2×C4⋊C4C23×C1111yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4—24no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4D4×C1112yes—
505C2×C42—21no—
506C2×C42C23×C1112yes—
507#104—42no—
508#103—22no—
509#103—22no—
510#103—22no—
511#103—22no—
512#103—22no—
513#103—22no—
514#100—42no—
515C22⋊C8—21no—
516C22⋊C8—21no—
517#95—21no—
518#95—24no—
519C2×C11—22no—
520C2×C11—22no—
521C2×C11—41no—
522C2×C11—81no—
523C2×C11—82no—
524C2×C11#240411yescharacteristic
525C2×C11C2×#45511yescharacteristic
526C2×C11#302211yescharacteristic
527C24C2×D4×C1111yescharacteristic
528C24C2×D4×C1112yes—
529#41—22no—
530#41—22no—
531#41—84no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—24no—
535C2×Q8—24no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—22no—
540C2×Q8—44no—
541C2×Q8—44no—
542C2×Q8—44no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—41no—
546C2×Q8—41no—
547C2×Q8C2×D4×C1111yescharacteristic
548C2×Q8C11×#4114yescomplemented
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—21no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4—44no—
561C2×D4C2×D4×C1111yescharacteristic
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—22no—
572C22×C4—44no—
573C22×C4—41no—
574C22×C4—41no—
575C22×C4C2×D4×C1111yescharacteristic
576C22×C4C2×D4×C1111yescharacteristic
577C22×C4C2×D4×C1111yescharacteristic
578C22×C4C2×D4×C1111yescharacteristic
579C22×C4C2×D4×C1111yescharacteristic
580C22×C4C2×D4×C1112yes—
581C22×C4C24×C1111yescharacteristic
582Q16—44no—
583SD16—44no—
584M16—22no—
585M16—22no—
586M16—22no—
587M16—22no—
588M16—42no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—42no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4C2×D4×C1111yescharacteristic
603C4⋊C4C2×D4×C1111yescharacteristic
604C4⋊C4C2×D4×C1111yescharacteristic
605C4⋊C4C2×D4×C1111yescharacteristic
606C4⋊C4C2×D4×C1111yescharacteristic
607C4⋊C4C2×D4×C1111yescharacteristic
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—48no—
625C22⋊C4—42no—
626C42—22no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42—22no—
633C42—22no—
634C11#2395511yescharacteristic, direct product factor, Sylow
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—24no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23C11×#12011yescharacteristic
644C23C11×#12011yescharacteristic
645C23C22×D4×C1111yescharacteristic
646Q8—24no—
647Q8—24no—
648Q8—22no—
649Q8—44no—
650Q8—44no—
651Q8—42no—
652Q8—42no—
653Q8—82no—
654D4—22no—
655D4—42no—
656D4—44no—
657D4—42no—
658D4—41no—
659D4—41no—
660D4—42no—
661D4—81no—
662D4—82no—
663D4—82no—
664D4—82no—
665C2×C4—22no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—81no—
693C2×C4—82no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4C11×#12011yescharacteristic
697C2×C4C11×#12011yescharacteristic
698C2×C4C22×D4×C1111yescharacteristic
699C2×C4C22×D4×C1111yescharacteristic
700C2×C4C2×C11×#4112yes—
701C2×C4C11×H(5,𝔽2)12yes—
702C8—42no—
703C8—42no—
704C22—21no—
705C22—21no—
706C22—21no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—44no—
712C22—41no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—41no—
718C22—84no—
719C22C11×#45512yes—
720C22C2×C11×#12011yescharacteristic
721C22C11×#54612yes—
722C4—21no—
723C4—21no—
724C4—44no—
725C4—41no—
726C4—41no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—41no—
732C4—41no—
733C4—82no—
734C4C11×#52511yescharacteristic
735C4C11×#53511yescharacteristic
736C4C11×#54612yes—
737C2—22no—
738C2—22no—
739C2—41no—
740C2—82no—
741C2—81no—
742C2C11×#240411yescharacteristic
743C2C2×C11×#45511yescharacteristic
744C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3494C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#3004C2semidirect
3. C2×C11×#419C2semidirect
4. C11×#2436C2semidirect
5. C11×#2028C2semidirect
6. C11×#2004C2semidirect
7. C11×#1900C2semidirect
8. C11×#1885C2semidirect
9. C11×#1882C2semidirect
10. C11×#1871C2semidirect
11. C11×#1826C2semidirect
155. #23955C11direct (N × H)
177. C2×Q8×C11#41semidirect
264. #3004C2×C11semidirect
265. C2×#419C2×C11semidirect
266. #2436C2×C11semidirect
267. #2028C2×C11semidirect
268. #2004C2×C11semidirect
269. #1900C2×C11semidirect
270. #1885C2×C11semidirect
271. #1882C2×C11semidirect
272. #1871C2×C11semidirect
273. #1826C2×C11semidirect
548. C2×Q8C11×#41semidirect
634. C11#23955direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34942
C11×#30042
C2×C11×#4192
C11×#24362
C11×#20282
C11×#20042
C11×#19002
C11×#18852
C11×#18822
C11×#18712
C11×#18262
#2395511