Finite Group Databasebeta

← C11×#27078 #14604271

Subgroups — C11×#27078 #14604271

Order 2816.

834 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2514C211yesmaximal, characteristic, complemented
2C11×#2366C211yesmaximal, characteristic
3C11×#2092C211yesmaximal, characteristic, complemented
4C11×#2055C211yesmaximal, characteristic, complemented
5C11×#2041C211yesmaximal, characteristic
6C11×#2014C211yesmaximal, characteristic
7C11×#1973C211yesmaximal, characteristic, complemented
8C11×#1927C211yesmaximal, characteristic, complemented
9C11×#1926C211yesmaximal, characteristic, complemented
10C11×#1918C211yesmaximal, characteristic, complemented
11C11×#1917C211yesmaximal, characteristic, complemented
12C11×#1877C211yesmaximal, characteristic, complemented
13C11×#1877C211yesmaximal, characteristic, complemented
14C11×#1804C211yesmaximal, characteristic, complemented
15C11×#1762C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C11×#127C2211yescharacteristic
19C2×C4×D4×C11—21no—
20C2×C4×D4×C11C2211yescharacteristic
21C2×C4×D4×C11C2211yescharacteristic
22C2×C11×#107C2211yescharacteristic
23C2×C11×#106C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#102C2211yescharacteristic
33C2×C11×#97C2211yescharacteristic
34C11×#401—21no—
35C11×#400—21no—
36C11×#391C2211yescharacteristic
37C11×#391C2211yescharacteristic
38C11×#391C2211yescharacteristic
39C11×#390—21no—
40C11×#390C2211yescharacteristic
41C11×#390C2211yescharacteristic
42C11×#389C2211yescharacteristic
43C11×#387—21no—
44C11×#386—21no—
45C11×#386—21no—
46C11×#383—21no—
47C11×#382C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C4×C11×C4⋊C4C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#336C2211yescharacteristic
56C11×#336C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11—21no—
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C2×C11×SD16—22no—
67C2×C11×SD16—22no—
68C2×C11×SD16—22no—
69C2×C11×SD16—41no—
70C2×C11×SD16—41no—
71C2×C11×SD16—41no—
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C11×#127—22no—
77C11×#127—22no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C4×D4×C11—41no—
81C4×D4×C11—41no—
82C4×D4×C11—44no—
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×C42×C11—21no—
98C2×C42×C11—21no—
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C2×C42×C11C2311yescharacteristic
102C11×#107—22no—
103C11×#106—41no—
104C11×C4⋊C8—41no—
105C11×#103—22no—
106C11×#103—41no—
107C11×#102—22no—
108C11×#102—22no—
109C11×#102—22no—
110C11×#102—41no—
111C11×#102—41no—
112C11×#102—41no—
113C11×#97—41no—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95D411yescharacteristic
126C11×#95D411yescharacteristic
127#27078C1111yesmaximal, 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—21no—
136C2×D4×C11—24no—
137C2×D4×C11—24no—
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—21no—
148C2×D4×C11—42no—
149C2×D4×C11—42no—
150C2×D4×C11—81no—
151C2×D4×C11—81no—
152C2×D4×C11#4112yes—
153C2×D4×C11#4112yes—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11—42no—
164C22×C4×C11—81no—
165C22×C4×C11—81no—
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2411yescharacteristic
173C11×SD16—44no—
174C11×SD16—44no—
175C2×C8×C11—21no—
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—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11#4112yes—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—41no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4#4112yes—
200C11×C22⋊C4—42no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—42no—
203C11×C22⋊C4—42no—
204C11×C22⋊C4—81no—
205C11×C22⋊C4—81no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—42no—
213C42×C11—42no—
214#2514C2×C1111yescharacteristic, complemented
215#2366C2×C1111yescharacteristic
216#2092C2×C1111yescharacteristic, complemented
217#2055C2×C1111yescharacteristic, complemented
218#2041C2×C1111yescharacteristic
219#2014C2×C1111yescharacteristic
220#1973C2×C1111yescharacteristic, complemented
221#1927C2×C1111yescharacteristic, complemented
222#1926C2×C1111yescharacteristic, complemented
223#1918C2×C1111yescharacteristic, complemented
224#1917C2×C1111yescharacteristic, complemented
225#1877C2×C1111yescharacteristic, complemented
226#1877C2×C1111yescharacteristic, complemented
227#1804C2×C1111yescharacteristic, complemented
228#1762C2×C1111yescharacteristic, complemented
229C23×C11—22no—
230C23×C11—22no—
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—41no—
245Q8×C11—41no—
246Q8×C11—41no—
247Q8×C11—41no—
248D4×C11—22no—
249D4×C11—22no—
250D4×C11—22no—
251D4×C11—22no—
252D4×C11—48no—
253D4×C11—41no—
254D4×C11—41no—
255D4×C11—41no—
256D4×C11—41no—
257D4×C11—84no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
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—21no—
275C2×C4×C11—21no—
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—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—84no—
294C2×C4×C11—84no—
295C2×C4×C11AGL(1,ℤ/8)12yes—
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C8×C11—22no—
303C8×C11—41no—
304C8×C11—41no—
305C8×C11—41no—
306C22×SD16C22×C1111yescharacteristic
307C22×SD16C22×C1111yescharacteristic
308C2×#127C22×C1111yescharacteristic
309C2×C4×D4—21no—
310C2×C4×D4C22×C1111yescharacteristic
311C2×C4×D4C22×C1111yescharacteristic
312C2×#107C22×C1111yescharacteristic
313C2×#106C22×C1111yescharacteristic
314C2×C4⋊C8C22×C1111yescharacteristic
315C2×#103C22×C1111yescharacteristic
316C2×#103C22×C1111yescharacteristic
317C2×#102C22×C1111yescharacteristic
318C2×#102C22×C1111yescharacteristic
319C2×#102C22×C1111yescharacteristic
320C2×#102C22×C1111yescharacteristic
321C2×#102C22×C1111yescharacteristic
322C2×#102C22×C1111yescharacteristic
323C2×#97C22×C1111yescharacteristic
324#401—21no—
325#400—21no—
326#391C22×C1111yescharacteristic
327#391C22×C1111yescharacteristic
328#391C22×C1111yescharacteristic
329#390—21no—
330#390C22×C1111yescharacteristic
331#390C22×C1111yescharacteristic
332#389C22×C1111yescharacteristic
333#387—21no—
334#386—21no—
335#386—21no—
336#383—21no—
337#382C22×C1111yescharacteristic
338C4×C4⋊C4C22×C1111yescharacteristic
339C4×C4⋊C4C22×C1111yescharacteristic
340C4×C4⋊C4C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#340C22×C1111yescharacteristic
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#336C22×C1111yescharacteristic
346#336C22×C1111yescharacteristic
347#336C22×C1111yescharacteristic
348#336C22×C1111yescharacteristic
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—81no—
356C22×C11—81no—
357C22×C11—81no—
358C22×C11—81no—
359C22×C11—81no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11#52511yescharacteristic
364C22×C11#54611yescharacteristic
365C22×C11#55011yescharacteristic
366C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
367C22×C11#57511yescharacteristic
368C22×C11#57711yescharacteristic
369C22×C11#57711yescharacteristic
370C4×C11—22no—
371C4×C11—41no—
372C4×C11—41no—
373C4×C11—41no—
374C4×C11—41no—
375C4×C11—41no—
376C4×C11—42no—
377C4×C11—81no—
378C4×C11—81no—
379C4×C11—81no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11#52911yescharacteristic
383C4×C11#53811yescharacteristic
384C4×C11#55111yescharacteristic
385C4×C11#55311yescharacteristic
386C22×Q8C23×C1111yescharacteristic
387C22×D4—21no—
388C22×D4—21no—
389C22×D4C23×C1111yescharacteristic
390C22×D4C23×C1111yescharacteristic
391C23×C4—21no—
392C23×C4—21no—
393C2×SD16—22no—
394C2×SD16—22no—
395C2×SD16—22no—
396C2×SD16—41no—
397C2×SD16—41no—
398C2×SD16—41no—
399C22×C8C23×C1111yescharacteristic
400C22×C8C23×C1111yescharacteristic
401C22×C8C23×C1111yescharacteristic
402C22×C8C23×C1111yescharacteristic
403#127—22no—
404#127—22no—
405C4×D4—22no—
406C4×D4—22no—
407C4×D4—41no—
408C4×D4—41no—
409C4×D4—44no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4D4×C1111yescharacteristic
412C2×C4⋊C4D4×C1111yescharacteristic
413C2×C4⋊C4C23×C1111yescharacteristic
414C2×C4⋊C4C23×C1111yescharacteristic
415C2×C4⋊C4C23×C1111yescharacteristic
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
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×C42—21no—
425C2×C42—21no—
426C2×C42C23×C1111yescharacteristic
427C2×C42C23×C1111yescharacteristic
428C2×C42C23×C1111yescharacteristic
429#107—22no—
430#106—41no—
431C4⋊C8—41no—
432#103—22no—
433#103—41no—
434#102—22no—
435#102—22no—
436#102—22no—
437#102—41no—
438#102—41no—
439#102—41no—
440#97—41no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95D4×C1111yescharacteristic
453#95D4×C1111yescharacteristic
454C2×C11—82no—
455C2×C11—82no—
456C2×C11#246711yescharacteristic
457C2×C11#311411yescharacteristic
458C2×C11#312311yescharacteristic
459C2×C11#331711yescharacteristic
460C2×C11#332411yescharacteristic
461C2×C11#339711yescharacteristic
462C2×C11#340111yescharacteristic
463C24—21no—
464C24—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4C11×#4112yes—
488C2×D4C11×#4112yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—81no—
500C22×C4—81no—
501C22×C4C2×D4×C1111yescharacteristic
502C22×C4C2×D4×C1111yescharacteristic
503C22×C4C2×D4×C1111yescharacteristic
504C22×C4C2×D4×C1111yescharacteristic
505C22×C4C2×D4×C1111yescharacteristic
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C24×C1111yescharacteristic
508SD16—44no—
509SD16—44no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8C11×#4112yes—
522C4⋊C4—22no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—41no—
533C4⋊C4—42no—
534C4⋊C4C11×#4112yes—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—81no—
540C22⋊C4—81no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—42no—
548C42—42no—
549C11#2707811yescharacteristic, direct product factor, Sylow
550C23—22no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C22×D4×C1111yescharacteristic
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—41no—
569D4—22no—
570D4—22no—
571D4—22no—
572D4—22no—
573D4—48no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—84no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
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—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—84no—
615C2×C4—84no—
616C2×C4C11×AGL(1,ℤ/8)12yes—
617C2×C4C2×C11×#4111yescharacteristic
618C2×C4C2×C11×#4111yescharacteristic
619C2×C4C2×C11×#4111yescharacteristic
620C2×C4C2×C11×#4111yescharacteristic
621C2×C4C11×H(5,𝔽2)11yescharacteristic
622C2×C4C11×H(5,𝔽2)11yescharacteristic
623C8—22no—
624C8—41no—
625C8—41no—
626C8—41no—
627C22—42no—
628C22—42no—
629C22—42no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C11×#52511yescharacteristic
642C22C11×#54611yescharacteristic
643C22C11×#55011yescharacteristic
644C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
645C22C11×#57511yescharacteristic
646C22C11×#57711yescharacteristic
647C22C11×#57711yescharacteristic
648C4—22no—
649C4—41no—
650C4—41no—
651C4—41no—
652C4—41no—
653C4—42no—
654C4—41no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C11×#52911yescharacteristic
661C4C11×#53811yescharacteristic
662C4C11×#55111yescharacteristic
663C4C11×#55311yescharacteristic
664C2—82no—
665C2—82no—
666C2C11×#246711yescharacteristic
667C2C11×#311411yescharacteristic
668C2C11×#312311yescharacteristic
669C2C11×#331711yescharacteristic
670C2C11×#332411yescharacteristic
671C2C11×#339711yescharacteristic
672C2C11×#340111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#127C22
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×#2514C2semidirect
3. C11×#2092C2semidirect
4. C11×#2055C2semidirect
7. C11×#1973C2semidirect
8. C11×#1927C2semidirect
9. C11×#1926C2semidirect
10. C11×#1918C2semidirect
11. C11×#1917C2semidirect
12. C11×#1877C2semidirect
13. C11×#1877C2semidirect
14. C11×#1804C2semidirect
15. C11×#1762C2semidirect
127. #27078C11direct (N × H)
214. #2514C2×C11semidirect
216. #2092C2×C11semidirect
217. #2055C2×C11semidirect
220. #1973C2×C11semidirect
221. #1927C2×C11semidirect
222. #1926C2×C11semidirect
223. #1918C2×C11semidirect
224. #1917C2×C11semidirect
225. #1877C2×C11semidirect
226. #1877C2×C11semidirect
227. #1804C2×C11semidirect
228. #1762C2×C11semidirect
549. C11#27078direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25142
C11×#23662
C11×#20922
C11×#20552
C11×#20412
C11×#20142
C11×#19732
C11×#19272
C11×#19262
C11×#19182
C11×#19172
C11×#18772
C11×#18042
C11×#17622
#2707811