Finite Group Databasebeta

← C11×#27071 #14604264

Subgroups — C11×#27071 #14604264

Order 2816.

802 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2512C211yesmaximal, characteristic, complemented
2C11×#2367C211yesmaximal, characteristic, complemented
3C11×#2094C211yesmaximal, characteristic, complemented
4C11×#2054C211yesmaximal, characteristic
5C11×#2042C211yesmaximal, characteristic, complemented
6C11×#2012C211yesmaximal, characteristic
7C11×#1968C211yesmaximal, characteristic, complemented
8C11×#1927C211yesmaximal, characteristic, complemented
9C11×#1926C211yesmaximal, characteristic, complemented
10C11×#1920C211yesmaximal, characteristic, complemented
11C11×#1916C211yesmaximal, characteristic, complemented
12C11×#1880C211yesmaximal, characteristic, complemented
13C11×#1879C211yesmaximal, characteristic
14C11×#1803C211yesmaximal, characteristic, complemented
15C4×C11×#102C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×D8C2211yescharacteristic
18C2×C11×#126—21no—
19C2×C11×#124C2211yescharacteristic
20C2×C4×Q8×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C2×C11×#106C2211yescharacteristic
23C2×C11×#106C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#103C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C4×C8×C11C2211yescharacteristic
34C11×#397—21no—
35C11×#396—21no—
36C11×#391C2211yescharacteristic
37C11×#390C2211yescharacteristic
38C11×#390C2211yescharacteristic
39C11×#390C2211yescharacteristic
40C11×#390C2211yescharacteristic
41C11×#389C2211yescharacteristic
42C11×#388—21no—
43C11×#388—21no—
44C11×#388—21no—
45C11×#385—21no—
46C11×#384C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C22⋊C4—21no—
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#336C2211yescharacteristic
56C11×#336C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C2×C11×SD16—22no—
64C2×C11×SD16—22no—
65C2×C11×SD16—41no—
66C2×C11×D8—22no—
67C2×C11×D8—41no—
68C2×C11×D8—41no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#126—44no—
74C11×#124—22no—
75C11×#124—22no—
76C4×Q8×C11—22no—
77C4×Q8×C11—41no—
78C4×D4×C11—22no—
79C4×D4×C11—41no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4D411yescharacteristic
85C2×C11×C4⋊C4D411yescharacteristic
86C2×C11×C4⋊C4C2311yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C4⋊C4C2311yescharacteristic
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C22⋊C4—21no—
92C2×C11×C22⋊C4—21no—
93C2×C11×C22⋊C4—21no—
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C42×C11—21no—
103C2×C42×C11—21no—
104C2×C42×C11—21no—
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2311yescharacteristic
107C2×C42×C11C2311yescharacteristic
108C11×#106—22no—
109C11×#106—41no—
110C11×C4⋊C8—41no—
111C11×#103—22no—
112C11×#103—41no—
113C11×#103—41no—
114C11×#102—22no—
115C11×#102—22no—
116C11×#102—22no—
117C11×#102—41no—
118C11×#102—41no—
119C4×C8×C11—41no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95D411yescharacteristic
126C11×#95D411yescharacteristic
127#27071C1111yesmaximal, characteristic, direct product factor, Sylow
128C24×C11—21no—
129C24×C11—21no—
130C2×Q8×C11—21no—
131C2×Q8×C11—21no—
132C2×Q8×C11—21no—
133C2×Q8×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11#4112yes—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11#4112yes—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11—81no—
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2411yescharacteristic
164C11×SD16—44no—
165C11×D8—44no—
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11—21no—
170C2×C8×C11—21no—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11—21no—
177C2×C8×C11#4112yes—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—42no—
190C11×C4⋊C4—42no—
191C11×C4⋊C4—42no—
192C11×C4⋊C4—81no—
193C11×C4⋊C4#4112yes—
194C11×C22⋊C4—24no—
195C11×C22⋊C4—24no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—42no—
198C11×C22⋊C4—42no—
199C11×C22⋊C4—42no—
200C11×C22⋊C4—42no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—81no—
203C11×C22⋊C4—81no—
204C11×C22⋊C4—81no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—42no—
212C42×C11—42no—
213C42×C11—81no—
214#2512C2×C1111yescharacteristic, complemented
215#2367C2×C1111yescharacteristic, complemented
216#2094C2×C1111yescharacteristic, complemented
217#2054C2×C1111yescharacteristic
218#2042C2×C1111yescharacteristic, complemented
219#2012C2×C1111yescharacteristic
220#1968C2×C1111yescharacteristic, complemented
221#1927C2×C1111yescharacteristic, complemented
222#1926C2×C1111yescharacteristic, complemented
223#1920C2×C1111yescharacteristic, complemented
224#1916C2×C1111yescharacteristic, complemented
225#1880C2×C1111yescharacteristic, complemented
226#1879C2×C1111yescharacteristic
227#1803C2×C1111yescharacteristic, complemented
228C4×#102C2×C1111yescharacteristic, complemented
229C23×C11—22no—
230C23×C11—41no—
231C23×C11—41no—
232C23×C11—41no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11C22×D411yescharacteristic
244Q8×C11—22no—
245Q8×C11—22no—
246Q8×C11—41no—
247Q8×C11—41no—
248D4×C11—22no—
249D4×C11—22no—
250D4×C11—41no—
251D4×C11—41no—
252D4×C11—41no—
253D4×C11—41no—
254D4×C11—41no—
255D4×C11—41no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—22no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—22no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—84no—
291C2×C4×C11#13512yes—
292C2×C4×C11AGL(1,ℤ/8)12yes—
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11H(5,𝔽2)11yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C8×C11—22no—
300C8×C11—41no—
301C8×C11—41no—
302C8×C11—41no—
303C22×SD16C22×C1111yescharacteristic
304C22×D8C22×C1111yescharacteristic
305C2×#126—21no—
306C2×#124C22×C1111yescharacteristic
307C2×C4×Q8C22×C1111yescharacteristic
308C2×C4×D4C22×C1111yescharacteristic
309C2×#106C22×C1111yescharacteristic
310C2×#106C22×C1111yescharacteristic
311C2×C4⋊C8C22×C1111yescharacteristic
312C2×#103C22×C1111yescharacteristic
313C2×#103C22×C1111yescharacteristic
314C2×#103C22×C1111yescharacteristic
315C2×#102C22×C1111yescharacteristic
316C2×#102C22×C1111yescharacteristic
317C2×#102C22×C1111yescharacteristic
318C2×#102C22×C1111yescharacteristic
319C2×#102C22×C1111yescharacteristic
320C2×C4×C8C22×C1111yescharacteristic
321#397—21no—
322#396—21no—
323#391C22×C1111yescharacteristic
324#390C22×C1111yescharacteristic
325#390C22×C1111yescharacteristic
326#390C22×C1111yescharacteristic
327#390C22×C1111yescharacteristic
328#389C22×C1111yescharacteristic
329#388—21no—
330#388—21no—
331#388—21no—
332#385—21no—
333#384C22×C1111yescharacteristic
334C4×C4⋊C4C22×C1111yescharacteristic
335C4×C4⋊C4C22×C1111yescharacteristic
336C4×C4⋊C4C22×C1111yescharacteristic
337C4×C22⋊C4—21no—
338#340C22×C1111yescharacteristic
339#340C22×C1111yescharacteristic
340#340C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#336C22×C1111yescharacteristic
343#336C22×C1111yescharacteristic
344#336C22×C1111yescharacteristic
345#336C22×C1111yescharacteristic
346C22×C11—42no—
347C22×C11—42no—
348C22×C11—42no—
349C22×C11—81no—
350C22×C11—81no—
351C22×C11—81no—
352C22×C11—81no—
353C22×C11—81no—
354C22×C11—81no—
355C22×C11—81no—
356C22×C11—81no—
357C22×C11—81no—
358C22×C11—81no—
359C22×C11—81no—
360C22×C11#52511yescharacteristic
361C22×C11#54611yescharacteristic
362C22×C11#55011yescharacteristic
363C22×C11C2×#13511yescharacteristic
364C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
365C22×C11#57711yescharacteristic
366C22×C11#57711yescharacteristic
367C4×C11—22no—
368C4×C11—22no—
369C4×C11—41no—
370C4×C11—41no—
371C4×C11—42no—
372C4×C11—41no—
373C4×C11—41no—
374C4×C11—42no—
375C4×C11—81no—
376C4×C11—81no—
377C4×C11—81no—
378C4×C11—81no—
379C4×C11#52911yescharacteristic
380C4×C11#53811yescharacteristic
381C4×C11#55111yescharacteristic
382C4×C11#55311yescharacteristic
383C22×Q8C23×C1111yescharacteristic
384C22×D4C23×C1111yescharacteristic
385C22×D4C23×C1111yescharacteristic
386C23×C4—21no—
387C2×SD16—22no—
388C2×SD16—22no—
389C2×SD16—41no—
390C2×D8—22no—
391C2×D8—41no—
392C2×D8—41no—
393C22×C8C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397#126—44no—
398#124—22no—
399#124—22no—
400C4×Q8—22no—
401C4×Q8—41no—
402C4×D4—22no—
403C4×D4—41no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4D4×C1111yescharacteristic
409C2×C4⋊C4D4×C1111yescharacteristic
410C2×C4⋊C4C23×C1111yescharacteristic
411C2×C4⋊C4C23×C1111yescharacteristic
412C2×C4⋊C4C23×C1111yescharacteristic
413C2×C4⋊C4C23×C1111yescharacteristic
414C2×C4⋊C4C23×C1111yescharacteristic
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C42—21no—
427C2×C42—21no—
428C2×C42—21no—
429C2×C42C23×C1111yescharacteristic
430C2×C42C23×C1111yescharacteristic
431C2×C42C23×C1111yescharacteristic
432#106—22no—
433#106—41no—
434C4⋊C8—41no—
435#103—22no—
436#103—41no—
437#103—41no—
438#102—22no—
439#102—22no—
440#102—22no—
441#102—41no—
442#102—41no—
443C4×C8—41no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95D4×C1111yescharacteristic
450#95D4×C1111yescharacteristic
451C2×C11—82no—
452C2×C11—161no—
453C2×C11#246711yescharacteristic
454C2×C11#310611yescharacteristic
455C2×C11#312511yescharacteristic
456C2×C11#330111yescharacteristic
457C2×C11#330611yescharacteristic
458C2×C11#339411yescharacteristic
459C2×C11#339711yescharacteristic
460C24—21no—
461C24—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8C11×#4112yes—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4C11×#4112yes—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—81no—
489C22×C4C2×D4×C1111yescharacteristic
490C22×C4C2×D4×C1111yescharacteristic
491C22×C4C2×D4×C1111yescharacteristic
492C22×C4C2×D4×C1111yescharacteristic
493C22×C4C2×D4×C1111yescharacteristic
494C22×C4C2×D4×C1111yescharacteristic
495C22×C4C24×C1111yescharacteristic
496SD16—44no—
497D8—44no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8C11×#4112yes—
510C4⋊C4—22no—
511C4⋊C4—22no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—81no—
525C4⋊C4C11×#4112yes—
526C22⋊C4—24no—
527C22⋊C4—24no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—81no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—42no—
545C42—81no—
546C11#2707111yescharacteristic, direct product factor, Sylow
547C23—22no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C22×D4×C1111yescharacteristic
562Q8—22no—
563Q8—22no—
564Q8—41no—
565Q8—41no—
566D4—22no—
567D4—22no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4C11×#13512yes—
610C2×C4C11×AGL(1,ℤ/8)12yes—
611C2×C4C2×C11×#4111yescharacteristic
612C2×C4C2×C11×#4111yescharacteristic
613C2×C4C2×C11×#4111yescharacteristic
614C2×C4C2×C11×#4111yescharacteristic
615C2×C4C11×H(5,𝔽2)11yescharacteristic
616C2×C4C11×H(5,𝔽2)11yescharacteristic
617C8—22no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22C11×#52511yescharacteristic
636C22C11×#54611yescharacteristic
637C22C11×#55011yescharacteristic
638C22C2×C11×#13511yescharacteristic
639C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
640C22C11×#57711yescharacteristic
641C22C11×#57711yescharacteristic
642C4—22no—
643C4—22no—
644C4—42no—
645C4—41no—
646C4—41no—
647C4—42no—
648C4—41no—
649C4—41no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C11×#52911yescharacteristic
655C4C11×#53811yescharacteristic
656C4C11×#55111yescharacteristic
657C4C11×#55311yescharacteristic
658C2—82no—
659C2—161no—
660C2C11×#246711yescharacteristic
661C2C11×#310611yescharacteristic
662C2C11×#312511yescharacteristic
663C2C11×#330111yescharacteristic
664C2C11×#330611yescharacteristic
665C2C11×#339411yescharacteristic
666C2C11×#339711yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2512C2semidirect
2. C11×#2367C2semidirect
3. C11×#2094C2semidirect
5. C11×#2042C2semidirect
7. C11×#1968C2semidirect
8. C11×#1927C2semidirect
9. C11×#1926C2semidirect
10. C11×#1920C2semidirect
11. C11×#1916C2semidirect
12. C11×#1880C2semidirect
14. C11×#1803C2semidirect
15. C4×C11×#102C2semidirect
127. #27071C11direct (N × H)
214. #2512C2×C11semidirect
215. #2367C2×C11semidirect
216. #2094C2×C11semidirect
218. #2042C2×C11semidirect
220. #1968C2×C11semidirect
221. #1927C2×C11semidirect
222. #1926C2×C11semidirect
223. #1920C2×C11semidirect
224. #1916C2×C11semidirect
225. #1880C2×C11semidirect
227. #1803C2×C11semidirect
228. C4×#102C2×C11semidirect
546. C11#27071direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25122
C11×#23672
C11×#20942
C11×#20542
C11×#20422
C11×#20122
C11×#19682
C11×#19272
C11×#19262
C11×#19202
C11×#19162
C11×#18802
C11×#18792
C11×#18032
C4×C11×#1022
#2707111