Finite Group Databasebeta

← C11×#18377 #14595570

Subgroups — C11×#18377 #14595570

Order 2816.

1082 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3490C211yesmaximal, characteristic
2C11×#3190C212yesmaximal, complemented
3C11×#2561C211yesmaximal, characteristic, complemented
4C11×#1612C212yesmaximal, complemented
5C11×#1608C211yesmaximal, characteristic, complemented
6C11×#1607C211yesmaximal, characteristic, complemented
7C11×#1606C212yesmaximal, complemented
8C11×#1602C211yesmaximal, characteristic, complemented
9C11×#1601C211yesmaximal, characteristic, complemented
10C11×#1501C212yesmaximal, complemented
11C2×C11×#323C211yesmaximal, characteristic, complemented
12C11×#551—22no—
13C11×#551—22no—
14C11×#546—22no—
15C11×#546—22no—
16C11×#543C2211yescharacteristic
17C11×#538—21no—
18C11×#538C2212yes—
19C11×#534C2211yescharacteristic
20C11×#525—21no—
21C11×#525C2212yes—
22C2×C11×C22⋊Q8C2211yescharacteristic, complemented
23C2×C11×#120—21no—
24C11×#518—21no—
25C22×C11×C22⋊C4C2211yescharacteristic
26C11×#485—22no—
27C11×#483C2212yescomplemented
28C11×#480C2212yescomplemented
29C11×#467—22no—
30C11×#465—22no—
31C11×#452—22no—
32C11×#451C2212yescomplemented
33C11×#448C2212yescomplemented
34C2×C11×C22⋊C8C2212yescomplemented
35C11×#397C2211yescharacteristic
36C11×#397C2211yescharacteristic, complemented
37C11×#393C2211yescharacteristic
38C11×#393C2211yescharacteristic, complemented
39C11×#388—21no—
40C11×#388—21no—
41C11×#381—21no—
42C11×#379—21no—
43C4×C11×C22⋊C4C2211yescharacteristic, complemented
44C11×#328C2212yescomplemented
45C11×#328C2212yescomplemented
46C11×#327C2212yescomplemented
47C11×#327C2212yescomplemented
48C11×#323C2211yescharacteristic
49C11×#323C2211yescharacteristic
50C11×#323C2212yescomplemented
51C25×C11D411yescharacteristic
52C2×C11×#41—21no—
53C2×C11×#41D412yes—
54C22×Q8×C11C2311yescharacteristic
55C22×D4×C11—21no—
56C22×D4×C11—21no—
57C22×D4×C11—21no—
58C23×C4×C11D411yescharacteristic
59C23×C4×C11C2311yescharacteristic
60C2×C11×Q16—22no—
61C2×C11×SD16—22no—
62C22×C8×C11—22no—
63C11×#126—22no—
64C11×#126—22no—
65C11×#124—22no—
66C11×#124—22no—
67C11×#123—22no—
68C11×#123—22no—
69C11×#123—22no—
70C11×#123—22no—
71C11×#123—22no—
72C11×C22⋊Q8—21no—
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8—21no—
75C11×C22⋊Q8—22no—
76C11×C22⋊Q8—22no—
77C11×C22⋊Q8—22no—
78C11×C22⋊Q8D412yes—
79C11×C22⋊Q8C2312yes—
80C11×#121—21no—
81C11×#121—22no—
82C11×#121—22no—
83C11×#121—21no—
84C11×#121D412yes—
85C11×#121C2312yes—
86C11×#120—22no—
87C11×#120—22no—
88C11×#120—22no—
89C11×#120—22no—
90C11×#120—22no—
91C4×D4×C11—22no—
92C4×D4×C11—22no—
93C4×D4×C11—22no—
94C4×D4×C11—22no—
95C4×D4×C11—22no—
96C4×D4×C11—22no—
97C11×#117—22no—
98C11×#117—21no—
99C11×#117D412yes—
100C2×C11×C4⋊C4—21no—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C22⋊C4—22no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4—21no—
106C2×C11×C22⋊C4—22no—
107C2×C11×C22⋊C4—22no—
108C2×C11×C22⋊C4—21no—
109C2×C11×C22⋊C4—21no—
110C2×C11×C22⋊C4—21no—
111C2×C11×C22⋊C4—21no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4D411yescharacteristic
115C2×C11×C22⋊C4D411yescharacteristic
116C2×C11×C22⋊C4C2311yescharacteristic
117C2×C11×C22⋊C4C2311yescharacteristic
118C2×C42×C11—21no—
119C11×#107—22no—
120C11×#106—22no—
121C11×#103—22no—
122C11×#103—22no—
123C11×#103—22no—
124C11×#102—22no—
125C11×C22⋊C8—22no—
126C11×C22⋊C8C2312yes—
127C11×C22⋊C8C2312yes—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95C2311yescharacteristic
133C11×#95C2311yescharacteristic
134#18377C1111yesmaximal, characteristic, direct product factor, Sylow
135C24×C11—21no—
136C24×C11—21no—
137C24×C11—21no—
138C24×C11—22no—
139C24×C11—41no—
140C24×C11—42no—
141C24×C11—81no—
142C24×C11C2×D411yescharacteristic
143C24×C11C2×D411yescharacteristic
144C24×C11C2×D411yescharacteristic
145C11×#41—82no—
146C11×#41—82no—
147C2×Q8×C11—21no—
148C2×Q8×C11—22no—
149C2×Q8×C11—81no—
150C2×Q8×C11C2×D412yes—
151C2×D4×C11—22no—
152C2×D4×C11—22no—
153C2×D4×C11—22no—
154C2×D4×C11—22no—
155C2×D4×C11—21no—
156C2×D4×C11—22no—
157C2×D4×C11—22no—
158C2×D4×C11—42no—
159C2×D4×C11—42no—
160C2×D4×C11—82no—
161C2×D4×C11—82no—
162C2×D4×C11C2×D412yes—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—22no—
168C22×C4×C11—21no—
169C22×C4×C11—22no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—42no—
175C22×C4×C11—81no—
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D412yes—
180C22×C4×C11C2×D412yes—
181C22×C4×C11C2411yescharacteristic
182C11×Q16—82no—
183C11×SD16—82no—
184C2×C8×C11—22no—
185C2×C8×C11—22no—
186C2×C8×C11—82no—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—22no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—22no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4C2×D412yes—
196C11×C4⋊C4C2×D412yes—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—22no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—22no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—22no—
205C11×C22⋊C4—22no—
206C11×C22⋊C4—22no—
207C11×C22⋊C4—22no—
208C11×C22⋊C4—22no—
209C11×C22⋊C4—22no—
210C11×C22⋊C4—22no—
211C11×C22⋊C4—42no—
212C11×C22⋊C4—42no—
213C11×C22⋊C4—41no—
214C11×C22⋊C4—41no—
215C11×C22⋊C4—42no—
216C11×C22⋊C4—81no—
217C11×C22⋊C4—81no—
218C42×C11—22no—
219C42×C11—22no—
220C42×C11—81no—
221#3490C2×C1111yescharacteristic
222#3190C2×C1112yescomplemented
223#2561C2×C1111yescharacteristic, complemented
224#1612C2×C1112yescomplemented
225#1608C2×C1111yescharacteristic, complemented
226#1607C2×C1111yescharacteristic, complemented
227#1606C2×C1112yescomplemented
228#1602C2×C1111yescharacteristic, complemented
229#1601C2×C1111yescharacteristic, complemented
230#1501C2×C1112yescomplemented
231C2×#323C2×C1111yescharacteristic, complemented
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—22no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—41no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—42no—
249C23×C11—42no—
250C23×C11—42no—
251C23×C11—81no—
252C23×C11—81no—
253C23×C11—81no—
254C23×C11—81no—
255C23×C11—84no—
256C23×C11—84no—
257C23×C11#12011yescharacteristic
258C23×C11#12011yescharacteristic
259C23×C11#13512yes—
260C23×C11C22×D411yescharacteristic
261Q8×C11—42no—
262Q8×C11—42no—
263Q8×C11—42no—
264Q8×C11—81no—
265D4×C11—42no—
266D4×C11—44no—
267D4×C11—44no—
268D4×C11—42no—
269D4×C11—42no—
270D4×C11—44no—
271D4×C11—82no—
272D4×C11—82no—
273D4×C11—81no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—41no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—41no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—82no—
300C2×C4×C11—81no—
301C2×C4×C11—81no—
302C2×C4×C11—81no—
303C2×C4×C11—82no—
304C2×C4×C11#12012yes—
305C2×C4×C11C22×D412yes—
306C8×C11—42no—
307C8×C11—42no—
308#551—22no—
309#551—22no—
310#546—22no—
311#546—22no—
312#543C22×C1111yescharacteristic
313#538—21no—
314#538C22×C1112yes—
315#534C22×C1111yescharacteristic
316#525—21no—
317#525C22×C1112yes—
318C2×C22⋊Q8C22×C1111yescharacteristic, complemented
319C2×#120—21no—
320#518—21no—
321C22×C22⋊C4C22×C1111yescharacteristic
322#485—22no—
323#483C22×C1112yescomplemented
324#480C22×C1112yescomplemented
325#467—22no—
326#465—22no—
327#452—22no—
328#451C22×C1112yescomplemented
329#448C22×C1112yescomplemented
330C2×C22⋊C8C22×C1112yescomplemented
331#397C22×C1111yescharacteristic
332#397C22×C1111yescharacteristic, complemented
333#393C22×C1111yescharacteristic
334#393C22×C1111yescharacteristic, complemented
335#388—21no—
336#388—21no—
337#381—21no—
338#379—21no—
339C4×C22⋊C4C22×C1111yescharacteristic, complemented
340#328C22×C1112yescomplemented
341#328C22×C1112yescomplemented
342#327C22×C1112yescomplemented
343#327C22×C1112yescomplemented
344#323C22×C1111yescharacteristic
345#323C22×C1111yescharacteristic
346#323C22×C1112yescomplemented
347C22×C11—21no—
348C22×C11—21no—
349C22×C11—21no—
350C22×C11—21no—
351C22×C11—22no—
352C22×C11—21no—
353C22×C11—21no—
354C22×C11—21no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—41no—
360C22×C11—41no—
361C22×C11—42no—
362C22×C11—41no—
363C22×C11—42no—
364C22×C11—41no—
365C22×C11—42no—
366C22×C11—41no—
367C22×C11—81no—
368C22×C11—84no—
369C22×C11—81no—
370C22×C11—84no—
371C22×C11—162no—
372C22×C11#45512yes—
373C22×C11C2×#12011yescharacteristic
374C22×C11C2×#13511yescharacteristic
375C22×C11#57511yescharacteristic
376C4×C11—22no—
377C4×C11—22no—
378C4×C11—42no—
379C4×C11—41no—
380C4×C11—41no—
381C4×C11—42no—
382C4×C11—42no—
383C4×C11—81no—
384C4×C11—81no—
385C4×C11—81no—
386C4×C11—81no—
387C25D4×C1111yescharacteristic
388C2×#41—21no—
389C2×#41D4×C1112yes—
390C22×Q8C23×C1111yescharacteristic
391C22×D4—21no—
392C22×D4—21no—
393C22×D4—21no—
394C23×C4D4×C1111yescharacteristic
395C23×C4C23×C1111yescharacteristic
396C2×Q16—22no—
397C2×SD16—22no—
398C22×C8—22no—
399#126—22no—
400#126—22no—
401#124—22no—
402#124—22no—
403#123—22no—
404#123—22no—
405#123—22no—
406#123—22no—
407#123—22no—
408C22⋊Q8—21no—
409C22⋊Q8—22no—
410C22⋊Q8—21no—
411C22⋊Q8—22no—
412C22⋊Q8—22no—
413C22⋊Q8—22no—
414C22⋊Q8D4×C1112yes—
415C22⋊Q8C23×C1112yes—
416#121—21no—
417#121—22no—
418#121—22no—
419#121—21no—
420#121D4×C1112yes—
421#121C23×C1112yes—
422#120—22no—
423#120—22no—
424#120—22no—
425#120—22no—
426#120—22no—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433#117—22no—
434#117—21no—
435#117D4×C1112yes—
436C2×C4⋊C4—21no—
437C2×C4⋊C4C23×C1111yescharacteristic
438C2×C22⋊C4—22no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4D4×C1111yescharacteristic
451C2×C22⋊C4D4×C1111yescharacteristic
452C2×C22⋊C4C23×C1111yescharacteristic
453C2×C22⋊C4C23×C1111yescharacteristic
454C2×C42—21no—
455#107—22no—
456#106—22no—
457#103—22no—
458#103—22no—
459#103—22no—
460#102—22no—
461C22⋊C8—22no—
462C22⋊C8C23×C1112yes—
463C22⋊C8C23×C1112yes—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95C23×C1111yescharacteristic
469#95C23×C1111yescharacteristic
470C2×C11—21no—
471C2×C11—21no—
472C2×C11—22no—
473C2×C11—41no—
474C2×C11—42no—
475C2×C11—81no—
476C2×C11—82no—
477C2×C11#300211yescharacteristic
478C2×C11C2×#45511yescharacteristic
479C2×C11#302611yescharacteristic
480C24—21no—
481C24—21no—
482C24—21no—
483C24—22no—
484C24—41no—
485C24—42no—
486C24—81no—
487C24C2×D4×C1111yescharacteristic
488C24C2×D4×C1111yescharacteristic
489C24C2×D4×C1111yescharacteristic
490#41—82no—
491#41—82no—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8—81no—
495C2×Q8C2×D4×C1112yes—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—82no—
506C2×D4—82no—
507C2×D4C2×D4×C1112yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4C2×D4×C1111yescharacteristic
522C22×C4C2×D4×C1111yescharacteristic
523C22×C4C2×D4×C1111yescharacteristic
524C22×C4C2×D4×C1112yes—
525C22×C4C2×D4×C1112yes—
526C22×C4C24×C1111yescharacteristic
527Q16—82no—
528SD16—82no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—82no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—42no—
540C4⋊C4C2×D4×C1112yes—
541C4⋊C4C2×D4×C1112yes—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—41no—
559C22⋊C4—41no—
560C22⋊C4—42no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C42—22no—
564C42—22no—
565C42—81no—
566C11#1837711yescharacteristic, direct product factor, Sylow
567C23—21no—
568C23—21no—
569C23—21no—
570C23—22no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—21no—
575C23—21no—
576C23—41no—
577C23—42no—
578C23—42no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—81no—
587C23—81no—
588C23—81no—
589C23—81no—
590C23—84no—
591C23—84no—
592C23C11×#12011yescharacteristic
593C23C11×#12011yescharacteristic
594C23C11×#13512yes—
595C23C22×D4×C1111yescharacteristic
596Q8—42no—
597Q8—42no—
598Q8—42no—
599Q8—81no—
600D4—42no—
601D4—44no—
602D4—44no—
603D4—42no—
604D4—42no—
605D4—44no—
606D4—82no—
607D4—82no—
608D4—81no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—82no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—81no—
638C2×C4—82no—
639C2×C4C11×#12012yes—
640C2×C4C22×D4×C1112yes—
641C8—42no—
642C8—42no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—42no—
658C22—41no—
659C22—42no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—81no—
664C22—84no—
665C22—81no—
666C22—84no—
667C22—162no—
668C22C11×#45512yes—
669C22C2×C11×#12011yescharacteristic
670C22C2×C11×#13511yescharacteristic
671C22C11×#57511yescharacteristic
672C4—22no—
673C4—22no—
674C4—42no—
675C4—41no—
676C4—41no—
677C4—42no—
678C4—42no—
679C4—81no—
680C4—81no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—21no—
685C2—22no—
686C2—41no—
687C2—42no—
688C2—81no—
689C2—82no—
690C2C11×#300211yescharacteristic
691C2C2×C11×#45511yescharacteristic
692C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3490C2
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
2. C11×#3190C2semidirect
3. C11×#2561C2semidirect
4. C11×#1612C2semidirect
5. C11×#1608C2semidirect
6. C11×#1607C2semidirect
7. C11×#1606C2semidirect
8. C11×#1602C2semidirect
9. C11×#1601C2semidirect
10. C11×#1501C2semidirect
11. C2×C11×#323C2semidirect
22. C2×C11×C22⋊Q8C22semidirect
27. C11×#483C22semidirect
28. C11×#480C22semidirect
32. C11×#451C22semidirect
33. C11×#448C22semidirect
34. C2×C11×C22⋊C8C22semidirect
36. C11×#397C22semidirect
38. C11×#393C22semidirect
43. C4×C11×C22⋊C4C22semidirect
44. C11×#328C22semidirect
45. C11×#328C22semidirect
46. C11×#327C22semidirect
47. C11×#327C22semidirect
50. C11×#323C22semidirect
134. #18377C11direct (N × H)
222. #3190C2×C11semidirect
223. #2561C2×C11semidirect
224. #1612C2×C11semidirect
225. #1608C2×C11semidirect
226. #1607C2×C11semidirect
227. #1606C2×C11semidirect
228. #1602C2×C11semidirect
229. #1601C2×C11semidirect
230. #1501C2×C11semidirect
231. C2×#323C2×C11semidirect
318. C2×C22⋊Q8C22×C11semidirect
323. #483C22×C11semidirect
324. #480C22×C11semidirect
328. #451C22×C11semidirect
329. #448C22×C11semidirect
330. C2×C22⋊C8C22×C11semidirect
332. #397C22×C11semidirect
334. #393C22×C11semidirect
339. C4×C22⋊C4C22×C11semidirect
340. #328C22×C11semidirect
341. #328C22×C11semidirect
342. #327C22×C11semidirect
343. #327C22×C11semidirect
346. #323C22×C11semidirect
566. C11#18377direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34902
C11×#31902
C11×#25612
C11×#16122
C11×#16082
C11×#16072
C11×#16062
C11×#16022
C11×#16012
C11×#15012
C2×C11×#3232
#1837711