Finite Group Databasebeta

← C11×#18458 #14595651

Subgroups — C11×#18458 #14595651

Order 2816.

1036 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3558C211yesmaximal, characteristic, complemented
2C11×#3213C211yesmaximal, characteristic, complemented
3C11×#3211C211yesmaximal, characteristic, complemented
4C11×#2819C211yesmaximal, characteristic, complemented
5C11×#1606C212yesmaximal, complemented
6C11×#1601C212yesmaximal, complemented
7C11×#1600C212yesmaximal, complemented
8C11×#1595C212yesmaximal, complemented
9C11×#1517C211yesmaximal, characteristic, complemented
10C11×#1512C211yesmaximal, characteristic, complemented
11C11×#1469C211yesmaximal, characteristic, complemented
12C11×#562—21no—
13C11×H(3,𝔽4)—21no—
14C11×#559—21no—
15C11×#548—21no—
16C11×#546—21no—
17C11×#546—22no—
18D42×C11—21no—
19C11×#542—21no—
20C11×#538—22no—
21C11×#538C2212yes—
22C11×#535—21no—
23C11×#534C2212yes—
24C11×#532C2211yescharacteristic
25C11×#529C2211yescharacteristic
26C2×C11×#124C2211yescharacteristic
27C2×C11×#124C2211yescharacteristic, complemented
28C11×#496—21no—
29C11×#495—21no—
30C11×#489—21no—
31C11×#488—21no—
32C11×#464—21no—
33C11×#463—21no—
34C11×#463—22no—
35C11×#451C2211yescharacteristic, complemented
36C11×#450C2211yescharacteristic, complemented
37C11×#448C2211yescharacteristic
38C11×#448C2212yescomplemented
39C11×#447C2211yescharacteristic
40C11×#447C2212yescomplemented
41C11×#432C2211yescharacteristic, complemented
42C11×#431C2211yescharacteristic, complemented
43C11×#394—22no—
44C11×#393—21no—
45C11×#393C2212yescomplemented
46C11×#392—21no—
47C11×#392C2212yescomplemented
48C11×#382C2211yescharacteristic, complemented
49C11×#328C2212yescomplemented
50C11×#327C2212yes—
51C11×#327C2212yescomplemented
52C11×#327C2212yescomplemented
53C11×#323C2212yescomplemented
54C11×#323C2212yescomplemented
55C2×C11×#41—21no—
56C2×C11×#41—21no—
57C22×Q8×C11D411yescharacteristic
58C22×Q8×C11C2311yescharacteristic
59C22×D4×C11—21no—
60C22×D4×C11—22no—
61C22×D4×C11—22no—
62C22×D4×C11D411yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C2×C11×Q16—21no—
65C2×C11×SD16—21no—
66C2×C11×SD16—21no—
67C2×C11×SD16—22no—
68C2×C11×D8—21no—
69C2×C11×D8—22no—
70C11×C4⋊Q8D411yescharacteristic, complemented
71C11×#127—21no—
72C11×#127D411yescharacteristic, complemented
73C11×#126—22no—
74C11×#126—21no—
75C11×#125D411yescharacteristic, complemented
76C11×#124—21no—
77C11×#124—22no—
78C11×#124—22no—
79C11×#124—22no—
80C11×#124—21no—
81C11×#124—21no—
82C11×#124—21no—
83C11×#124—21no—
84C11×#124—21no—
85C11×#124—21no—
86C11×#124—21no—
87C11×#124—21no—
88C11×#124—21no—
89C11×#124D411yescharacteristic, complemented
90C11×#123—22no—
91C11×#123—21no—
92C11×#123—22no—
93C11×#123—22no—
94C11×#123—22no—
95C11×C22⋊Q8—22no—
96C11×C22⋊Q8—21no—
97C11×C22⋊Q8—22no—
98C11×C22⋊Q8C2311yescharacteristic
99C11×#121—22no—
100C11×#121—22no—
101C11×#121—22no—
102C11×#121—21no—
103C11×#121—22no—
104C11×#121—21no—
105C11×#121—22no—
106C11×#121C2311yescharacteristic
107C11×#121C2312yes—
108C11×#120—22no—
109C11×#120—22no—
110C11×#120—22no—
111C11×#120—22no—
112C11×#120—22no—
113C4×Q8×C11—21no—
114C4×Q8×C11D411yescharacteristic, complemented
115C4×D4×C11—22no—
116C4×D4×C11—21no—
117C4×D4×C11—21no—
118C4×D4×C11—22no—
119C4×D4×C11—21no—
120C4×D4×C11D411yescharacteristic, complemented
121C4×D4×C11D412yescomplemented
122C11×#117—21no—
123C2×C11×C4⋊C4—21no—
124C2×C11×C22⋊C4—22no—
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—21no—
127C2×C11×C22⋊C4—22no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4D412yes—
130C2×C11×C22⋊C4C2312yes—
131C2×C42×C11C2311yescharacteristic
132C11×C4⋊C8—21no—
133C11×C4⋊C8—21no—
134C11×#103—22no—
135C11×#103—21no—
136C11×#103—21no—
137C11×#102—22no—
138C11×#102—21no—
139C11×#102—21no—
140C11×C22⋊C8C2312yes—
141C11×C22⋊C8C2311yescharacteristic
142C11×C22⋊C8C2311yescharacteristic
143C11×#97—21no—
144C4×C8×C11—21no—
145C11×#95—21no—
146C11×#95—22no—
147C11×#95C2312yes—
148#18458C1111yesmaximal, characteristic, direct product factor, Sylow
149C24×C11—22no—
150C24×C11—21no—
151C24×C11C2×D412yes—
152C11×#41—81no—
153C11×#41—81no—
154C11×#41—82no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11—81no—
161C2×Q8×C11—81no—
162C2×Q8×C11C2×D411yescharacteristic
163C2×D4×C11—22no—
164C2×D4×C11—21no—
165C2×D4×C11—22no—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11—22no—
169C2×D4×C11—22no—
170C2×D4×C11—21no—
171C2×D4×C11—21no—
172C2×D4×C11—21no—
173C2×D4×C11—21no—
174C2×D4×C11—21no—
175C2×D4×C11—21no—
176C2×D4×C11—81no—
177C2×D4×C11—82no—
178C2×D4×C11—81no—
179C2×D4×C11—82no—
180C2×D4×C11—82no—
181C2×D4×C11—82no—
182C2×D4×C11—82no—
183C2×D4×C11—82no—
184C2×D4×C11C2×D411yescharacteristic
185C2×D4×C11C2×D412yes—
186C22×C4×C11—22no—
187C22×C4×C11—22no—
188C22×C4×C11—21no—
189C22×C4×C11—22no—
190C22×C4×C11—22no—
191C22×C4×C11—21no—
192C22×C4×C11C2×D411yescharacteristic
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2×D411yescharacteristic
195C22×C4×C11C2411yescharacteristic
196C11×Q16—81no—
197C11×SD16—82no—
198C11×SD16—81no—
199C11×SD16—81no—
200C11×D8—82no—
201C11×D8—81no—
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—81no—
213C11×C4⋊C4C2×D412yes—
214C11×C4⋊C4C2×D411yescharacteristic
215C11×C4⋊C4C2×D411yescharacteristic
216C11×C22⋊C4—22no—
217C11×C22⋊C4—22no—
218C11×C22⋊C4—22no—
219C11×C22⋊C4—22no—
220C11×C22⋊C4—22no—
221C11×C22⋊C4—21no—
222C11×C22⋊C4—21no—
223C11×C22⋊C4—22no—
224C11×C22⋊C4—22no—
225C11×C22⋊C4—21no—
226C11×C22⋊C4—21no—
227C11×C22⋊C4—22no—
228C11×C22⋊C4—22no—
229C11×C22⋊C4—22no—
230C11×C22⋊C4—21no—
231C11×C22⋊C4—22no—
232C11×C22⋊C4—41no—
233C11×C22⋊C4—41no—
234C11×C22⋊C4—41no—
235C11×C22⋊C4—41no—
236C11×C22⋊C4—82no—
237C11×C22⋊C4—82no—
238C42×C11—22no—
239C42×C11—21no—
240C42×C11C2×D411yescharacteristic
241C42×C11C2×D411yescharacteristic
242C42×C11C2×D411yescharacteristic
243C42×C11C2×D411yescharacteristic
244#3558C2×C1111yescharacteristic, complemented
245#3213C2×C1111yescharacteristic, complemented
246#3211C2×C1111yescharacteristic, complemented
247#2819C2×C1111yescharacteristic, complemented
248#1606C2×C1112yescomplemented
249#1601C2×C1112yescomplemented
250#1600C2×C1112yescomplemented
251#1595C2×C1112yescomplemented
252#1517C2×C1111yescharacteristic, complemented
253#1512C2×C1111yescharacteristic, complemented
254#1469C2×C1111yescharacteristic, complemented
255C23×C11—22no—
256C23×C11—21no—
257C23×C11—22no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—42no—
261C23×C11—42no—
262C23×C11—42no—
263C23×C11—42no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11—82no—
268C23×C11—82no—
269C23×C11—82no—
270C23×C11C22×D411yescharacteristic
271Q8×C11—41no—
272Q8×C11—42no—
273Q8×C11—42no—
274Q8×C11—41no—
275Q8×C11—41no—
276Q8×C11—81no—
277Q8×C11—81no—
278D4×C11—42no—
279D4×C11—41no—
280D4×C11—42no—
281D4×C11—42no—
282D4×C11—42no—
283D4×C11—41no—
284D4×C11—41no—
285D4×C11—41no—
286D4×C11—42no—
287D4×C11—41no—
288D4×C11—42no—
289D4×C11—81no—
290D4×C11—81no—
291D4×C11—82no—
292D4×C11—82no—
293D4×C11—82no—
294D4×C11—82no—
295D4×C11—82no—
296D4×C11—88no—
297C2×C4×C11—21no—
298C2×C4×C11—21no—
299C2×C4×C11—21no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—21no—
303C2×C4×C11—21no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C2×C4×C11—42no—
309C2×C4×C11—42no—
310C2×C4×C11—42no—
311C2×C4×C11—41no—
312C2×C4×C11—42no—
313C2×C4×C11—82no—
314C2×C4×C11—82no—
315C2×C4×C11—82no—
316C2×C4×C11#12011yescharacteristic
317C2×C4×C11#12011yescharacteristic
318C2×C4×C11#12011yescharacteristic
319C2×C4×C11#12011yescharacteristic
320C2×C4×C11C22×D411yescharacteristic
321C2×C4×C11C22×D411yescharacteristic
322C8×C11—42no—
323C8×C11—41no—
324C8×C11—41no—
325#562—21no—
326H(3,𝔽4)—21no—
327#559—21no—
328#548—21no—
329#546—21no—
330#546—22no—
331D42—21no—
332#542—21no—
333#538—22no—
334#538C22×C1112yes—
335#535—21no—
336#534C22×C1112yes—
337#532C22×C1111yescharacteristic
338#529C22×C1111yescharacteristic
339C2×#124C22×C1111yescharacteristic
340C2×#124C22×C1111yescharacteristic, complemented
341#496—21no—
342#495—21no—
343#489—21no—
344#488—21no—
345#464—21no—
346#463—21no—
347#463—22no—
348#451C22×C1111yescharacteristic, complemented
349#450C22×C1111yescharacteristic, complemented
350#448C22×C1111yescharacteristic
351#448C22×C1112yescomplemented
352#447C22×C1111yescharacteristic
353#447C22×C1112yescomplemented
354#432C22×C1111yescharacteristic, complemented
355#431C22×C1111yescharacteristic, complemented
356#394—22no—
357#393—21no—
358#393C22×C1112yescomplemented
359#392—21no—
360#392C22×C1112yescomplemented
361#382C22×C1111yescharacteristic, complemented
362#328C22×C1112yescomplemented
363#327C22×C1112yes—
364#327C22×C1112yescomplemented
365#327C22×C1112yescomplemented
366#323C22×C1112yescomplemented
367#323C22×C1112yescomplemented
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—42no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—41no—
378C22×C11—42no—
379C22×C11—82no—
380C22×C11—82no—
381C22×C11—82no—
382C22×C11—82no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—164no—
387C22×C11C2×#12011yescharacteristic
388C22×C11#57611yescharacteristic
389C22×C11#57711yescharacteristic
390C4×C11—21no—
391C4×C11—21no—
392C4×C11—21no—
393C4×C11—21no—
394C4×C11—21no—
395C4×C11—21no—
396C4×C11—41no—
397C4×C11—42no—
398C4×C11—41no—
399C4×C11—42no—
400C4×C11—41no—
401C4×C11—82no—
402C4×C11—81no—
403C2×#41—21no—
404C2×#41—21no—
405C22×Q8D4×C1111yescharacteristic
406C22×Q8C23×C1111yescharacteristic
407C22×D4—21no—
408C22×D4—22no—
409C22×D4—22no—
410C22×D4D4×C1111yescharacteristic
411C22×D4C23×C1111yescharacteristic
412C2×Q16—21no—
413C2×SD16—21no—
414C2×SD16—21no—
415C2×SD16—22no—
416C2×D8—21no—
417C2×D8—22no—
418C4⋊Q8D4×C1111yescharacteristic, complemented
419#127—21no—
420#127D4×C1111yescharacteristic, complemented
421#126—22no—
422#126—21no—
423#125D4×C1111yescharacteristic, complemented
424#124—21no—
425#124—22no—
426#124—22no—
427#124—22no—
428#124—21no—
429#124—21no—
430#124—21no—
431#124—21no—
432#124—21no—
433#124—21no—
434#124—21no—
435#124—21no—
436#124—21no—
437#124D4×C1111yescharacteristic, complemented
438#123—22no—
439#123—21no—
440#123—22no—
441#123—22no—
442#123—22no—
443C22⋊Q8—22no—
444C22⋊Q8—21no—
445C22⋊Q8—22no—
446C22⋊Q8C23×C1111yescharacteristic
447#121—22no—
448#121—22no—
449#121—22no—
450#121—21no—
451#121—22no—
452#121—21no—
453#121—22no—
454#121C23×C1111yescharacteristic
455#121C23×C1112yes—
456#120—22no—
457#120—22no—
458#120—22no—
459#120—22no—
460#120—22no—
461C4×Q8—21no—
462C4×Q8D4×C1111yescharacteristic, complemented
463C4×D4—22no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—22no—
467C4×D4—21no—
468C4×D4D4×C1111yescharacteristic, complemented
469C4×D4D4×C1112yescomplemented
470#117—21no—
471C2×C4⋊C4—21no—
472C2×C22⋊C4—22no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—22no—
476C2×C22⋊C4—22no—
477C2×C22⋊C4D4×C1112yes—
478C2×C22⋊C4C23×C1112yes—
479C2×C42C23×C1111yescharacteristic
480C4⋊C8—21no—
481C4⋊C8—21no—
482#103—21no—
483#103—22no—
484#103—21no—
485#102—21no—
486#102—22no—
487#102—21no—
488C22⋊C8C23×C1112yes—
489C22⋊C8C23×C1111yescharacteristic
490C22⋊C8C23×C1111yescharacteristic
491#97—21no—
492C4×C8—21no—
493#95—21no—
494#95—22no—
495#95C23×C1112yes—
496C2×C11—21no—
497C2×C11—21no—
498C2×C11—82no—
499C2×C11—82no—
500C2×C11—81no—
501C2×C11—161no—
502C2×C11#301211yescharacteristic
503C2×C11#301911yescharacteristic
504C2×C11#302711yescharacteristic
505C24—22no—
506C24—21no—
507C24C2×D4×C1112yes—
508#41—81no—
509#41—81no—
510#41—82no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—81no—
517C2×Q8—81no—
518C2×Q8C2×D4×C1111yescharacteristic
519C2×D4—22no—
520C2×D4—21no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—81no—
533C2×D4—82no—
534C2×D4—81no—
535C2×D4—82no—
536C2×D4—82no—
537C2×D4—82no—
538C2×D4—82no—
539C2×D4—82no—
540C2×D4C2×D4×C1111yescharacteristic
541C2×D4C2×D4×C1112yes—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4C2×D4×C1111yescharacteristic
549C22×C4C2×D4×C1112yes—
550C22×C4C2×D4×C1111yescharacteristic
551C22×C4C24×C1111yescharacteristic
552Q16—81no—
553SD16—82no—
554SD16—81no—
555SD16—81no—
556D8—82no—
557D8—81no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—81no—
569C4⋊C4C2×D4×C1112yes—
570C4⋊C4C2×D4×C1111yescharacteristic
571C4⋊C4C2×D4×C1111yescharacteristic
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—21no—
587C22⋊C4—22no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C42—22no—
595C42—21no—
596C42C2×D4×C1111yescharacteristic
597C42C2×D4×C1111yescharacteristic
598C42C2×D4×C1111yescharacteristic
599C42C2×D4×C1111yescharacteristic
600C11#1845811yescharacteristic, direct product factor, Sylow
601C23—22no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23C22×D4×C1111yescharacteristic
617Q8—41no—
618Q8—42no—
619Q8—42no—
620Q8—41no—
621Q8—41no—
622Q8—81no—
623Q8—81no—
624D4—42no—
625D4—41no—
626D4—42no—
627D4—42no—
628D4—42no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—42no—
633D4—41no—
634D4—42no—
635D4—81no—
636D4—81no—
637D4—82no—
638D4—82no—
639D4—82no—
640D4—82no—
641D4—82no—
642D4—88no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—82no—
660C2×C4—82no—
661C2×C4—82no—
662C2×C4C11×#12011yescharacteristic
663C2×C4C11×#12011yescharacteristic
664C2×C4C11×#12011yescharacteristic
665C2×C4C11×#12011yescharacteristic
666C2×C4C22×D4×C1111yescharacteristic
667C2×C4C22×D4×C1111yescharacteristic
668C8—42no—
669C8—41no—
670C8—41no—
671C22—21no—
672C22—21no—
673C22—42no—
674C22—42no—
675C22—41no—
676C22—41no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—41no—
681C22—42no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22—82no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—164no—
690C22C2×C11×#12011yescharacteristic
691C22C11×#57611yescharacteristic
692C22C11×#57711yescharacteristic
693C4—21no—
694C4—21no—
695C4—21no—
696C4—21no—
697C4—21no—
698C4—21no—
699C4—41no—
700C4—42no—
701C4—41no—
702C4—42no—
703C4—41no—
704C4—82no—
705C4—81no—
706C2—21no—
707C2—21no—
708C2—82no—
709C2—81no—
710C2—82no—
711C2—161no—
712C2C11×#301211yescharacteristic
713C2C11×#301911yescharacteristic
714C2C11×#302711yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3558C2semidirect
2. C11×#3213C2semidirect
3. C11×#3211C2semidirect
4. C11×#2819C2semidirect
5. C11×#1606C2semidirect
6. C11×#1601C2semidirect
7. C11×#1600C2semidirect
8. C11×#1595C2semidirect
9. C11×#1517C2semidirect
10. C11×#1512C2semidirect
11. C11×#1469C2semidirect
27. C2×C11×#124C22semidirect
35. C11×#451C22semidirect
36. C11×#450C22semidirect
38. C11×#448C22semidirect
40. C11×#447C22semidirect
41. C11×#432C22semidirect
42. C11×#431C22semidirect
45. C11×#393C22semidirect
47. C11×#392C22semidirect
48. C11×#382C22semidirect
49. C11×#328C22semidirect
51. C11×#327C22semidirect
52. C11×#327C22semidirect
53. C11×#323C22semidirect
54. C11×#323C22semidirect
70. C11×C4⋊Q8D4semidirect
72. C11×#127D4semidirect
75. C11×#125D4semidirect
89. C11×#124D4semidirect
114. C4×Q8×C11D4semidirect
120. C4×D4×C11D4semidirect
121. C4×D4×C11D4semidirect
148. #18458C11direct (N × H)
244. #3558C2×C11semidirect
245. #3213C2×C11semidirect
246. #3211C2×C11semidirect
247. #2819C2×C11semidirect
248. #1606C2×C11semidirect
249. #1601C2×C11semidirect
250. #1600C2×C11semidirect
251. #1595C2×C11semidirect
252. #1517C2×C11semidirect
253. #1512C2×C11semidirect
254. #1469C2×C11semidirect
340. C2×#124C22×C11semidirect
348. #451C22×C11semidirect
349. #450C22×C11semidirect
351. #448C22×C11semidirect
353. #447C22×C11semidirect
354. #432C22×C11semidirect
355. #431C22×C11semidirect
358. #393C22×C11semidirect
360. #392C22×C11semidirect
361. #382C22×C11semidirect
362. #328C22×C11semidirect
364. #327C22×C11semidirect
365. #327C22×C11semidirect
366. #323C22×C11semidirect
367. #323C22×C11semidirect
418. C4⋊Q8D4×C11semidirect
420. #127D4×C11semidirect
423. #125D4×C11semidirect
437. #124D4×C11semidirect
462. C4×Q8D4×C11semidirect
468. C4×D4D4×C11semidirect
469. C4×D4D4×C11semidirect
600. C11#18458direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35582
C11×#32132
C11×#32112
C11×#28192
C11×#16062
C11×#16012
C11×#16002
C11×#15952
C11×#15172
C11×#15122
C11×#14692
#1845811