Finite Group Databasebeta

← C11×#18078 #14595271

Subgroups — C11×#18078 #14595271

Order 2816.

656 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3171C211yesmaximal, characteristic
2C11×#2969C211yesmaximal, characteristic, complemented
3C11×#2935C211yesmaximal, characteristic, complemented
4C11×#1592C211yesmaximal, characteristic, complemented
5C11×#1589C211yesmaximal, characteristic, complemented
6C11×#1586C211yesmaximal, characteristic, complemented
7C11×#1585C211yesmaximal, characteristic, complemented
8C11×#1583C211yesmaximal, characteristic, complemented
9C11×#1581C211yesmaximal, characteristic, complemented
10C11×#1580C211yesmaximal, characteristic, complemented
11C8×C11×SD16C211yesmaximal, characteristic, complemented
12C11×#1565C211yesmaximal, characteristic, complemented
13C11×#1484C211yesmaximal, characteristic, complemented
14C11×#1483C211yesmaximal, characteristic, complemented
15C11×#1455C211yesmaximal, characteristic, complemented
16C2×C11×#131—21no—
17C11×#532C2211yescharacteristic
18C11×#529C2211yescharacteristic
19C11×#501C411yescharacteristic
20C11×#496C411yescharacteristic
21C11×#490C411yescharacteristic
22C11×#489C411yescharacteristic
23C11×#469C411yescharacteristic
24C11×#469C411yescharacteristic
25C11×#468C411yescharacteristic
26C11×#468C411yescharacteristic
27C11×#446C2211yescharacteristic
28C8×Q8×C11C2211yescharacteristic
29C4×C11×SD16C2211yescharacteristic
30C4×C11×SD16C2211yescharacteristic
31C4×C11×D8C2211yescharacteristic
32C4×C11×D8C2211yescharacteristic
33C11×#436—21no—
34C11×#436C2211yescharacteristic
35C11×#436C2211yescharacteristic
36C11×#436C2211yescharacteristic
37C11×#435—21no—
38C11×#435—21no—
39C11×#435—21no—
40C8×D4×C11C2211yescharacteristic
41C8×D4×C11C2211yescharacteristic
42C8×D4×C11C2211yescharacteristic
43C11×#433—21no—
44C11×#431C2211yescharacteristic
45C2×C11×C4⋊C8C2211yescharacteristic
46C11×#408—21no—
47C11×#405—21no—
48C4×C11×M16C2211yescharacteristic
49C4×C11×M16C2211yescharacteristic
50C4×C11×M16C2211yescharacteristic
51C11×#335C2211yescharacteristic
52C11×#335C2211yescharacteristic
53C11×#334C2211yescharacteristic
54C11×#334C2211yescharacteristic
55C11×Q8⋊C8C2211yescharacteristic
56C11×Q8⋊C8C2211yescharacteristic
57C11×D4⋊C8C2211yescharacteristic
58C11×D4⋊C8C2211yescharacteristic
59C11×D4⋊C8C2211yescharacteristic
60C11×D4⋊C8C2211yescharacteristic
61C11×D4⋊C8C2211yescharacteristic
62C11×D4⋊C8C2211yescharacteristic
63C11×#322C2211yescharacteristic
64C11×#322C2211yescharacteristic
65C11×#322C2211yescharacteristic
66C82×C11C2211yescharacteristic
67C2×C11×#41—21no—
68C2×C11×SD16C2×C411yescharacteristic
69C2×C11×SD16C2×C411yescharacteristic
70C2×C11×D8C2×C411yescharacteristic
71C2×C11×D8C2×C411yescharacteristic
72C11×#131—44no—
73C2×C11×M16—21no—
74C2×C11×M16—21no—
75C2×C11×M16—21no—
76C2×C11×M16—21no—
77C2×C11×M16C2×C411yescharacteristic
78C2×C11×M16C2×C411yescharacteristic
79C2×C11×M16D411yescharacteristic
80C2×C11×M16D411yescharacteristic
81C22×C8×C11—21no—
82C22×C8×C11—21no—
83C22×C8×C11—21no—
84C22×C8×C11—21no—
85C11×C4⋊Q8C2×C411yescharacteristic
86C11×#127C2×C411yescharacteristic
87C11×#126—21no—
88C11×#125C2×C411yescharacteristic
89C11×#124—21no—
90C11×#124C2×C411yescharacteristic
91C11×#123—21no—
92C11×C22⋊Q8C2×C411yescharacteristic
93C11×#121—21no—
94C11×#121C2×C411yescharacteristic
95C11×#121C2×C411yescharacteristic
96C11×#121C2×C411yescharacteristic
97C4×Q8×C11C2311yescharacteristic
98C4×D4×C11—21no—
99C4×D4×C11—21no—
100C4×D4×C11C2311yescharacteristic
101C4×D4×C11C2311yescharacteristic
102C4×D4×C11C2311yescharacteristic
103C11×#117—21no—
104C2×C42×C11C2311yescharacteristic
105C11×#107C2×C411yescharacteristic
106C11×#107C2×C411yescharacteristic
107C11×#106C2×C411yescharacteristic
108C11×#106C2×C411yescharacteristic
109C11×C4⋊C8—21no—
110C11×C4⋊C8—21no—
111C11×C4⋊C8—21no—
112C11×C4⋊C8C2311yescharacteristic
113C11×C4⋊C8C2311yescharacteristic
114C11×C4⋊C8C2311yescharacteristic
115C11×C4⋊C8C2311yescharacteristic
116C11×#103C2×C411yescharacteristic
117C11×#103C2×C411yescharacteristic
118C11×#102C2×C411yescharacteristic
119C11×#102C2×C411yescharacteristic
120C11×#102C2×C411yescharacteristic
121C11×#102C2×C411yescharacteristic
122C11×#102C2×C411yescharacteristic
123C11×#102C2×C411yescharacteristic
124C11×C22⋊C8—21no—
125C11×C22⋊C8—21no—
126C11×C22⋊C8—21no—
127C11×C22⋊C8—21no—
128C11×C22⋊C8—21no—
129C11×C22⋊C8—21no—
130C11×C22⋊C8—21no—
131C11×#97—21no—
132C11×#97—21no—
133C11×#97C2×C411yescharacteristic
134C11×#97C2×C411yescharacteristic
135C11×#97D411yescharacteristic
136C11×#97D411yescharacteristic
137C4×C8×C11—21no—
138C4×C8×C11—21no—
139C4×C8×C11C2311yescharacteristic
140C4×C8×C11C2311yescharacteristic
141C4×C8×C11C2311yescharacteristic
142C4×C8×C11C2311yescharacteristic
143C4×C8×C11C2311yescharacteristic
144C4×C8×C11C2311yescharacteristic
145#18078C1111yesmaximal, characteristic, direct product factor, Sylow
146C11×#41—42no—
147C11×#41—42no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C411yescharacteristic
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11C22×C411yescharacteristic
156C2×D4×C11C22×C411yescharacteristic
157C2×D4×C11C22×C411yescharacteristic
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11C22×C411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11#4111yescharacteristic
164C11×SD16—22no—
165C11×SD16—41no—
166C11×D8—22no—
167C11×D8—41no—
168C11×M16—22no—
169C11×M16—22no—
170C11×M16—41no—
171C11×M16—41no—
172C11×M16—42no—
173C11×M16—42no—
174C11×M16—42no—
175C11×M16—42no—
176C2×C8×C11—21no—
177C2×C8×C11—21no—
178C2×C8×C11—21no—
179C2×C8×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11—42no—
183C2×C8×C11—42no—
184C2×C8×C11—42no—
185C2×C8×C11—42no—
186C2×C8×C11C22×C411yescharacteristic
187C2×C8×C11C22×C411yescharacteristic
188C2×C8×C11C22×C411yescharacteristic
189C2×C8×C11C22×C411yescharacteristic
190C2×C8×C11C2×D411yescharacteristic
191C2×C8×C11C2×D411yescharacteristic
192C2×C8×C11C2×D411yescharacteristic
193C2×C8×C11C2×D411yescharacteristic
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4C22×C411yescharacteristic
200C11×C4⋊C4C22×C411yescharacteristic
201C11×C4⋊C4C22×C411yescharacteristic
202C11×C4⋊C4C22×C411yescharacteristic
203C11×C22⋊C4—21no—
204C11×C22⋊C4—21no—
205C11×C22⋊C4—21no—
206C11×C22⋊C4—21no—
207C11×C22⋊C4—21no—
208C11×C22⋊C4—21no—
209C11×C22⋊C4—21no—
210C11×C22⋊C4—21no—
211C11×C22⋊C4—21no—
212C42×C11—21no—
213C42×C11C22×C411yescharacteristic
214C42×C11C2×D411yescharacteristic
215C42×C11#4111yescharacteristic
216C42×C11C2411yescharacteristic
217#3171C2×C1111yescharacteristic
218#2969C2×C1111yescharacteristic, complemented
219#2935C2×C1111yescharacteristic, complemented
220#1592C2×C1111yescharacteristic, complemented
221#1589C2×C1111yescharacteristic, complemented
222#1586C2×C1111yescharacteristic, complemented
223#1585C2×C1111yescharacteristic, complemented
224#1583C2×C1111yescharacteristic, complemented
225#1581C2×C1111yescharacteristic, complemented
226#1580C2×C1111yescharacteristic, complemented
227C8×SD16C2×C1111yescharacteristic, complemented
228#1565C2×C1111yescharacteristic, complemented
229#1484C2×C1111yescharacteristic, complemented
230#1483C2×C1111yescharacteristic, complemented
231#1455C2×C1111yescharacteristic, complemented
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11C4×D411yescharacteristic
236Q8×C11—21no—
237Q8×C11—21no—
238Q8×C11—42no—
239D4×C11—21no—
240D4×C11—21no—
241D4×C11—21no—
242D4×C11—21no—
243D4×C11—21no—
244D4×C11—21no—
245D4×C11—42no—
246D4×C11—42no—
247D4×C11—42no—
248D4×C11—81no—
249D4×C11—81no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—41no—
260C2×C4×C11—41no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—41no—
266C2×C4×C11C4×D411yescharacteristic
267C2×C4×C11C4×D411yescharacteristic
268C2×C4×C11C4×D411yescharacteristic
269C2×C4×C11C23×C411yescharacteristic
270C2×C4×C11C22×D411yescharacteristic
271C2×C4×C11C2×#4111yescharacteristic
272C8×C11—22no—
273C8×C11—21no—
274C8×C11—21no—
275C8×C11—21no—
276C8×C11—21no—
277C8×C11—21no—
278C8×C11—21no—
279C8×C11—41no—
280C8×C11—41no—
281C8×C11—41no—
282C8×C11—41no—
283C8×C11—41no—
284C8×C11#13112yescomplemented
285C8×C11AGL(1,ℤ/8)12yes—
286C2×#131—21no—
287#532C22×C1111yescharacteristic
288#529C22×C1111yescharacteristic
289#501C4×C1111yescharacteristic
290#496C4×C1111yescharacteristic
291#490C4×C1111yescharacteristic
292#489C4×C1111yescharacteristic
293#469C4×C1111yescharacteristic
294#469C4×C1111yescharacteristic
295#468C4×C1111yescharacteristic
296#468C4×C1111yescharacteristic
297#446C22×C1111yescharacteristic
298C8×Q8C22×C1111yescharacteristic
299C4×SD16C22×C1111yescharacteristic
300C4×SD16C22×C1111yescharacteristic
301C4×D8C22×C1111yescharacteristic
302C4×D8C22×C1111yescharacteristic
303#436—21no—
304#436C22×C1111yescharacteristic
305#436C22×C1111yescharacteristic
306#436C22×C1111yescharacteristic
307#435—21no—
308#435—21no—
309#435—21no—
310C8×D4C22×C1111yescharacteristic
311C8×D4C22×C1111yescharacteristic
312C8×D4C22×C1111yescharacteristic
313#433—21no—
314#431C22×C1111yescharacteristic
315C2×C4⋊C8C22×C1111yescharacteristic
316#408—21no—
317#405—21no—
318C4×M16C22×C1111yescharacteristic
319C4×M16C22×C1111yescharacteristic
320C4×M16C22×C1111yescharacteristic
321#335C22×C1111yescharacteristic
322#335C22×C1111yescharacteristic
323#334C22×C1111yescharacteristic
324#334C22×C1111yescharacteristic
325Q8⋊C8C22×C1111yescharacteristic
326Q8⋊C8C22×C1111yescharacteristic
327D4⋊C8C22×C1111yescharacteristic
328D4⋊C8C22×C1111yescharacteristic
329D4⋊C8C22×C1111yescharacteristic
330D4⋊C8C22×C1111yescharacteristic
331D4⋊C8C22×C1111yescharacteristic
332D4⋊C8C22×C1111yescharacteristic
333#322C22×C1111yescharacteristic
334#322C22×C1111yescharacteristic
335#322C22×C1111yescharacteristic
336C82C22×C1111yescharacteristic
337C22×C11—21no—
338C22×C11—21no—
339C22×C11—21no—
340C22×C11—41no—
341C22×C11—41no—
342C22×C11—41no—
343C22×C11—41no—
344C22×C11—41no—
345C22×C11—41no—
346C22×C11—41no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11C2×C4×D411yescharacteristic
350C4×C11—21no—
351C4×C11—21no—
352C4×C11—21no—
353C4×C11—21no—
354C4×C11—41no—
355C4×C11—41no—
356C4×C11—41no—
357C4×C11—41no—
358C4×C11—41no—
359C4×C11C2×#13111yescharacteristic
360C4×C11#56811yescharacteristic
361C4×C11C2×AGL(1,ℤ/8)11yescharacteristic
362C4×C11#57511yescharacteristic
363C2×#41—21no—
364C2×SD16C2×C4×C1111yescharacteristic
365C2×SD16C2×C4×C1111yescharacteristic
366C2×D8C2×C4×C1111yescharacteristic
367C2×D8C2×C4×C1111yescharacteristic
368#131—44no—
369C2×M16—21no—
370C2×M16—21no—
371C2×M16—21no—
372C2×M16—21no—
373C2×M16C2×C4×C1111yescharacteristic
374C2×M16C2×C4×C1111yescharacteristic
375C2×M16D4×C1111yescharacteristic
376C2×M16D4×C1111yescharacteristic
377C22×C8—21no—
378C22×C8—21no—
379C22×C8—21no—
380C22×C8—21no—
381C4⋊Q8C2×C4×C1111yescharacteristic
382#127C2×C4×C1111yescharacteristic
383#126—21no—
384#125C2×C4×C1111yescharacteristic
385#124—21no—
386#124C2×C4×C1111yescharacteristic
387#123—21no—
388C22⋊Q8C2×C4×C1111yescharacteristic
389#121—21no—
390#121C2×C4×C1111yescharacteristic
391#121C2×C4×C1111yescharacteristic
392#121C2×C4×C1111yescharacteristic
393C4×Q8C23×C1111yescharacteristic
394C4×D4—21no—
395C4×D4—21no—
396C4×D4C23×C1111yescharacteristic
397C4×D4C23×C1111yescharacteristic
398C4×D4C23×C1111yescharacteristic
399#117—21no—
400C2×C42C23×C1111yescharacteristic
401#107C2×C4×C1111yescharacteristic
402#107C2×C4×C1111yescharacteristic
403#106C2×C4×C1111yescharacteristic
404#106C2×C4×C1111yescharacteristic
405C4⋊C8—21no—
406C4⋊C8—21no—
407C4⋊C8—21no—
408C4⋊C8C23×C1111yescharacteristic
409C4⋊C8C23×C1111yescharacteristic
410C4⋊C8C23×C1111yescharacteristic
411C4⋊C8C23×C1111yescharacteristic
412#103C2×C4×C1111yescharacteristic
413#103C2×C4×C1111yescharacteristic
414#102C2×C4×C1111yescharacteristic
415#102C2×C4×C1111yescharacteristic
416#102C2×C4×C1111yescharacteristic
417#102C2×C4×C1111yescharacteristic
418#102C2×C4×C1111yescharacteristic
419#102C2×C4×C1111yescharacteristic
420C22⋊C8—21no—
421C22⋊C8—21no—
422C22⋊C8—21no—
423C22⋊C8—21no—
424C22⋊C8—21no—
425C22⋊C8—21no—
426C22⋊C8—21no—
427#97—21no—
428#97—21no—
429#97C2×C4×C1111yescharacteristic
430#97C2×C4×C1111yescharacteristic
431#97D4×C1111yescharacteristic
432#97D4×C1111yescharacteristic
433C4×C8—21no—
434C4×C8—21no—
435C4×C8C23×C1111yescharacteristic
436C4×C8C23×C1111yescharacteristic
437C4×C8C23×C1111yescharacteristic
438C4×C8C23×C1111yescharacteristic
439C4×C8C23×C1111yescharacteristic
440C4×C8C23×C1111yescharacteristic
441C2×C11—41no—
442C2×C11—81no—
443C2×C11—81no—
444C2×C11—81no—
445C2×C11#293511yescharacteristic
446C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
447C2×C11#295611yescharacteristic
448#41—42no—
449#41—42no—
450C2×Q8—21no—
451C2×Q8C22×C4×C1111yescharacteristic
452C2×D4—21no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4C22×C4×C1111yescharacteristic
458C2×D4C22×C4×C1111yescharacteristic
459C2×D4C22×C4×C1111yescharacteristic
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4C22×C4×C1111yescharacteristic
464C22×C4C2×D4×C1111yescharacteristic
465C22×C4C11×#4111yescharacteristic
466SD16—22no—
467SD16—41no—
468D8—22no—
469D8—41no—
470M16—22no—
471M16—22no—
472M16—41no—
473M16—41no—
474M16—42no—
475M16—42no—
476M16—42no—
477M16—42no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—42no—
485C2×C8—42no—
486C2×C8—42no—
487C2×C8—42no—
488C2×C8C22×C4×C1111yescharacteristic
489C2×C8C22×C4×C1111yescharacteristic
490C2×C8C22×C4×C1111yescharacteristic
491C2×C8C22×C4×C1111yescharacteristic
492C2×C8C2×D4×C1111yescharacteristic
493C2×C8C2×D4×C1111yescharacteristic
494C2×C8C2×D4×C1111yescharacteristic
495C2×C8C2×D4×C1111yescharacteristic
496C4⋊C4—21no—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4C22×C4×C1111yescharacteristic
502C4⋊C4C22×C4×C1111yescharacteristic
503C4⋊C4C22×C4×C1111yescharacteristic
504C4⋊C4C22×C4×C1111yescharacteristic
505C22⋊C4—21no—
506C22⋊C4—21no—
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C22⋊C4—21no—
511C22⋊C4—21no—
512C22⋊C4—21no—
513C22⋊C4—21no—
514C42—21no—
515C42C22×C4×C1111yescharacteristic
516C42C2×D4×C1111yescharacteristic
517C42C11×#4111yescharacteristic
518C42C24×C1111yescharacteristic
519C11#1807811yescharacteristic, direct product factor, Sylow
520C23—21no—
521C23—21no—
522C23—21no—
523C23C4×D4×C1111yescharacteristic
524Q8—21no—
525Q8—21no—
526Q8—42no—
527D4—21no—
528D4—21no—
529D4—21no—
530D4—21no—
531D4—21no—
532D4—21no—
533D4—42no—
534D4—42no—
535D4—42no—
536D4—81no—
537D4—81no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—41no—
548C2×C4—41no—
549C2×C4—41no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4C4×D4×C1111yescharacteristic
555C2×C4C4×D4×C1111yescharacteristic
556C2×C4C4×D4×C1111yescharacteristic
557C2×C4C23×C4×C1111yescharacteristic
558C2×C4C22×D4×C1111yescharacteristic
559C2×C4C2×C11×#4111yescharacteristic
560C8—22no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—21no—
565C8—21no—
566C8—21no—
567C8—41no—
568C8—41no—
569C8—41no—
570C8—41no—
571C8—41no—
572C8C11×#13112yescomplemented
573C8C11×AGL(1,ℤ/8)12yes—
574C22—21no—
575C22—21no—
576C22—21no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—41no—
584C22—41no—
585C22—41no—
586C22C2×C4×D4×C1111yescharacteristic
587C4—21no—
588C4—21no—
589C4—21no—
590C4—21no—
591C4—41no—
592C4—41no—
593C4—41no—
594C4—41no—
595C4—41no—
596C4C2×C11×#13111yescharacteristic
597C4C11×#56811yescharacteristic
598C4C2×C11×AGL(1,ℤ/8)11yescharacteristic
599C4C11×#57511yescharacteristic
600C2—41no—
601C2—81no—
602C2—81no—
603C2—81no—
604C2C11×#293511yescharacteristic
605C2C4×C11×AGL(1,ℤ/8)11yescharacteristic
606C2C11×#295611yescharacteristic
subgroupG/H
centerC2×C4×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC42C24×C11
socleC22×C11C2×C4×D4
prime radicalC11×#3171C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C11 ◁ C4×C11×M16 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2969C2semidirect
3. C11×#2935C2semidirect
4. C11×#1592C2semidirect
5. C11×#1589C2semidirect
6. C11×#1586C2semidirect
7. C11×#1585C2semidirect
8. C11×#1583C2semidirect
9. C11×#1581C2semidirect
10. C11×#1580C2semidirect
11. C8×C11×SD16C2semidirect
12. C11×#1565C2semidirect
13. C11×#1484C2semidirect
14. C11×#1483C2semidirect
15. C11×#1455C2semidirect
145. #18078C11direct (N × H)
218. #2969C2×C11semidirect
219. #2935C2×C11semidirect
220. #1592C2×C11semidirect
221. #1589C2×C11semidirect
222. #1586C2×C11semidirect
223. #1585C2×C11semidirect
224. #1583C2×C11semidirect
225. #1581C2×C11semidirect
226. #1580C2×C11semidirect
227. C8×SD16C2×C11semidirect
228. #1565C2×C11semidirect
229. #1484C2×C11semidirect
230. #1483C2×C11semidirect
231. #1455C2×C11semidirect
284. C8×C11#131semidirect
519. C11#18078direct (N × H)
572. C8C11×#131semidirect

Maximal subgroups

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

subgroupindex
C11×#31712
C11×#29692
C11×#29352
C11×#15922
C11×#15892
C11×#15862
C11×#15852
C11×#15832
C11×#15812
C11×#15802
C8×C11×SD162
C11×#15652
C11×#14842
C11×#14832
C11×#14552
#1807811