Finite Group Databasebeta

← C11×#24841 #14602034

Subgroups — C11×#24841 #14602034

Order 2816.

912 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
1C2×C11×#478C211yesmaximal, characteristic, complemented
2C2×C11×#423C211yesmaximal, characteristic, complemented
3C11×#2851C211yesmaximal, characteristic, complemented
4C4×C11×#121C211yesmaximal, characteristic
5C11×#2088C211yesmaximal, characteristic, complemented
6C11×#2086C211yesmaximal, characteristic, complemented
7C11×#2067C211yesmaximal, characteristic, complemented
8C11×#2065C211yesmaximal, characteristic, complemented
9C11×#1989C211yesmaximal, characteristic, complemented
10C11×#1949C211yesmaximal, characteristic, complemented
11C11×#1895C211yesmaximal, characteristic
12C11×#1895C211yesmaximal, characteristic
13C11×#1809C211yesmaximal, characteristic, complemented
14C11×#1809C211yesmaximal, characteristic, complemented
15C11×#1804C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C2×C11×#125C2211yescharacteristic
19C2×C11×#121C2211yescharacteristic
20C2×C4×D4×C11—21no—
21C2×C4×D4×C11C2211yescharacteristic
22C22×C42×C11C2211yescharacteristic
23C11×#478—24no—
24C2×C11×#107C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C11×#423—24no—
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C11×#390C2211yescharacteristic
38C11×#389C2211yescharacteristic
39C11×#389C2211yescharacteristic
40C11×#389C2211yescharacteristic
41C11×#388—21no—
42C11×#387—21no—
43C11×#387—21no—
44C11×#386—21no—
45C11×#385—21no—
46C11×#385—21no—
47C11×#382C2211yescharacteristic
48C11×#380C2211yescharacteristic
49C11×#380C2211yescharacteristic
50C11×#380C2211yescharacteristic
51C4×C11×C4⋊C4C2211yescharacteristic
52C4×C11×C22⋊C4—21no—
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11D411yescharacteristic
65C23×C4×C11D411yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C2×C11×M16—22no—
68C2×C11×M16—22no—
69C2×C11×M16—22no—
70C2×C11×M16—22no—
71C2×C11×M16—41no—
72C2×C11×M16—41no—
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C11×#125—22no—
78C11×#125—22no—
79C11×#121—22no—
80C11×#121Q814yes—
81C4×D4×C11—22no—
82C4×D4×C11—22no—
83C4×D4×C11—44no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4—21no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4—21no—
103C2×C42×C11—22no—
104C2×C42×C11—22no—
105C2×C42×C11—21no—
106C2×C42×C11D411yescharacteristic
107C2×C42×C11D411yescharacteristic
108C2×C42×C11C2311yescharacteristic
109C2×C42×C11C2311yescharacteristic
110C11×#107—22no—
111C11×#107—41no—
112C11×#106—22no—
113C11×#106—41no—
114C11×C4⋊C8—22no—
115C11×C4⋊C8—22no—
116C11×C4⋊C8—22no—
117C11×C4⋊C8D414yescomplemented
118C11×#102—22no—
119C11×#102—22no—
120C11×#102—41no—
121C11×#102—41no—
122C11×#95—21no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131#24841C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11—21no—
133C24×C11C2×D411yescharacteristic
134C2×D4×C11—24no—
135C2×D4×C11—21no—
136C2×D4×C11—21no—
137C2×D4×C11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—42no—
141C2×D4×C11—42no—
142C2×D4×C11C2×Q812yes—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—41no—
158C22×C4×C11—41no—
159C22×C4×C11—41no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—42no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×Q812yes—
169C22×C4×C11#4112yes—
170C22×C4×C11C2411yescharacteristic
171C11×M16—44no—
172C11×M16—44no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
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×C11C2×D412yes—
184C2×C8×C11C2×D412yes—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—21no—
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—21no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4C2×Q812yes—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C11×C22⋊C4—42no—
211C42×C11—22no—
212C42×C11—22no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—42no—
216C42×C11C2×D412yes—
217C42×C11#4112yes—
218C2×#478C2×C1111yescharacteristic, complemented
219C2×#423C2×C1111yescharacteristic, complemented
220#2851C2×C1111yescharacteristic, complemented
221C4×#121C2×C1111yescharacteristic
222#2088C2×C1111yescharacteristic, complemented
223#2086C2×C1111yescharacteristic, complemented
224#2067C2×C1111yescharacteristic, complemented
225#2065C2×C1111yescharacteristic, complemented
226#1989C2×C1111yescharacteristic, complemented
227#1949C2×C1111yescharacteristic, complemented
228#1895C2×C1111yescharacteristic
229#1895C2×C1111yescharacteristic
230#1809C2×C1111yescharacteristic, complemented
231#1809C2×C1111yescharacteristic, complemented
232#1804C2×C1111yescharacteristic, complemented
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—22no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11C22⋊Q812yes—
247C23×C11C22×D411yescharacteristic
248D4×C11—22no—
249D4×C11—22no—
250D4×C11—48no—
251D4×C11—41no—
252D4×C11—41no—
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—21no—
260C2×C4×C11—21no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—21no—
266C2×C4×C11—22no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—44no—
270C2×C4×C11—44no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
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—41no—
291C2×C4×C11—84no—
292C2×C4×C11#12112yes—
293C2×C4×C11#12112yes—
294C2×C4×C11C22⋊Q812yes—
295C2×C4×C11AGL(1,ℤ/8)12yes—
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×Q811yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C112−1+411yescharacteristic
302C8×C11—22no—
303C8×C11—22no—
304C8×C11—41no—
305C8×C11—41no—
306C22×M16C22×C1111yescharacteristic
307C22×M16C22×C1111yescharacteristic
308C2×#125C22×C1111yescharacteristic
309C2×#121C22×C1111yescharacteristic
310C2×C4×D4—21no—
311C2×C4×D4C22×C1111yescharacteristic
312C22×C42C22×C1111yescharacteristic
313#478—24no—
314C2×#107C22×C1111yescharacteristic
315C2×#107C22×C1111yescharacteristic
316C2×#106C22×C1111yescharacteristic
317C2×#106C22×C1111yescharacteristic
318#423—24no—
319C2×C4⋊C8C22×C1111yescharacteristic
320C2×C4⋊C8C22×C1111yescharacteristic
321C2×C4⋊C8C22×C1111yescharacteristic
322C2×C4⋊C8C22×C1111yescharacteristic
323C2×#102C22×C1111yescharacteristic
324C2×#102C22×C1111yescharacteristic
325C2×#102C22×C1111yescharacteristic
326C2×#102C22×C1111yescharacteristic
327#390C22×C1111yescharacteristic
328#389C22×C1111yescharacteristic
329#389C22×C1111yescharacteristic
330#389C22×C1111yescharacteristic
331#388—21no—
332#387—21no—
333#387—21no—
334#386—21no—
335#385—21no—
336#385—21no—
337#382C22×C1111yescharacteristic
338#380C22×C1111yescharacteristic
339#380C22×C1111yescharacteristic
340#380C22×C1111yescharacteristic
341C4×C4⋊C4C22×C1111yescharacteristic
342C4×C22⋊C4—21no—
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#340C22×C1111yescharacteristic
346#340C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351C22×C11—22no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—42no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11—81no—
364C22×C11—81no—
365C22×C11C2×#12111yescharacteristic
366C22×C11C2×C22⋊Q811yescharacteristic
367C22×C11#53711yescharacteristic
368C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
369C22×C11#57511yescharacteristic
370C22×C11#57511yescharacteristic
371C22×C11#57511yescharacteristic
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—22no—
376C4×C11—42no—
377C4×C11—41no—
378C4×C11—81no—
379C4×C11—81no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11#54611yescharacteristic
385C4×C11D4×Q811yescharacteristic
386C4×C11#55211yescharacteristic
387C4×C11#55411yescharacteristic
388C22×D4—21no—
389C22×D4C23×C1111yescharacteristic
390C23×C4—21no—
391C23×C4D4×C1111yescharacteristic
392C23×C4D4×C1111yescharacteristic
393C23×C4C23×C1111yescharacteristic
394C2×M16—22no—
395C2×M16—22no—
396C2×M16—22no—
397C2×M16—22no—
398C2×M16—41no—
399C2×M16—41no—
400C22×C8C23×C1111yescharacteristic
401C22×C8C23×C1111yescharacteristic
402C22×C8C23×C1111yescharacteristic
403C22×C8C23×C1111yescharacteristic
404#125—22no—
405#125—22no—
406#121—22no—
407#121Q8×C1114yes—
408C4×D4—22no—
409C4×D4—22no—
410C4×D4—44no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C4⋊C4C23×C1111yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C42—22no—
431C2×C42—22no—
432C2×C42—21no—
433C2×C42D4×C1111yescharacteristic
434C2×C42D4×C1111yescharacteristic
435C2×C42C23×C1111yescharacteristic
436C2×C42C23×C1111yescharacteristic
437#107—22no—
438#107—41no—
439#106—22no—
440#106—41no—
441C4⋊C8—22no—
442C4⋊C8—22no—
443C4⋊C8—22no—
444C4⋊C8D4×C1114yescomplemented
445#102—22no—
446#102—22no—
447#102—41no—
448#102—41no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458C2×C11—42no—
459C2×C11—82no—
460C2×C11#241711yescharacteristic
461C2×C11#305411yescharacteristic
462C2×C11#305511yescharacteristic
463C2×C11#307711yescharacteristic
464C2×C11#308011yescharacteristic
465C2×C11#325111yescharacteristic
466C2×C11#325611yescharacteristic
467C24—21no—
468C24C2×D4×C1111yescharacteristic
469C2×D4—24no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4C2×Q8×C1112yes—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4C2×D4×C1111yescharacteristic
499C22×C4C2×D4×C1111yescharacteristic
500C22×C4C2×D4×C1111yescharacteristic
501C22×C4C2×D4×C1111yescharacteristic
502C22×C4C2×D4×C1111yescharacteristic
503C22×C4C2×Q8×C1112yes—
504C22×C4C11×#4112yes—
505C22×C4C24×C1111yescharacteristic
506M16—44no—
507M16—44no—
508C2×C8—21no—
509C2×C8—21no—
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×C8C2×D4×C1112yes—
519C2×C8C2×D4×C1112yes—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
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—21no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4C2×Q8×C1112yes—
539C22⋊C4—24no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C42—22no—
547C42—22no—
548C42—21no—
549C42—21no—
550C42—42no—
551C42C2×D4×C1112yes—
552C42C11×#4112yes—
553C11#2484111yescharacteristic, direct product factor, Sylow
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—22no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23C11×C22⋊Q812yes—
568C23C22×D4×C1111yescharacteristic
569D4—22no—
570D4—22no—
571D4—48no—
572D4—41no—
573D4—41no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—44no—
591C2×C4—44no—
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—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4C11×#12112yes—
614C2×C4C11×#12112yes—
615C2×C4C11×C22⋊Q812yes—
616C2×C4C11×AGL(1,ℤ/8)12yes—
617C2×C4C22×D4×C1111yescharacteristic
618C2×C4C22×Q8×C1111yescharacteristic
619C2×C4C2×C11×#4111yescharacteristic
620C2×C4C2×C11×#4111yescharacteristic
621C2×C4C11×H(5,𝔽2)11yescharacteristic
622C2×C4C11×2−1+411yescharacteristic
623C8—22no—
624C8—22no—
625C8—41no—
626C8—41no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—42no—
635C22—42no—
636C22—42no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22C2×C11×#12111yescharacteristic
642C22C2×C11×C22⋊Q811yescharacteristic
643C22C11×#53711yescharacteristic
644C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
645C22C11×#57511yescharacteristic
646C22C11×#57511yescharacteristic
647C22C11×#57511yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—41no—
653C4—42no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4C11×#54611yescharacteristic
661C4D4×Q8×C1111yescharacteristic
662C4C11×#55211yescharacteristic
663C4C11×#55411yescharacteristic
664C2—42no—
665C2—82no—
666C2C11×#241711yescharacteristic
667C2C11×#305411yescharacteristic
668C2C11×#305511yescharacteristic
669C2C11×#307711yescharacteristic
670C2C11×#308011yescharacteristic
671C2C11×#325111yescharacteristic
672C2C11×#325611yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#478C2semidirect
2. C2×C11×#423C2semidirect
3. C11×#2851C2semidirect
5. C11×#2088C2semidirect
6. C11×#2086C2semidirect
7. C11×#2067C2semidirect
8. C11×#2065C2semidirect
9. C11×#1989C2semidirect
10. C11×#1949C2semidirect
13. C11×#1809C2semidirect
14. C11×#1809C2semidirect
15. C11×#1804C2semidirect
117. C11×C4⋊C8D4semidirect
131. #24841C11direct (N × H)
218. C2×#478C2×C11semidirect
219. C2×#423C2×C11semidirect
220. #2851C2×C11semidirect
222. #2088C2×C11semidirect
223. #2086C2×C11semidirect
224. #2067C2×C11semidirect
225. #2065C2×C11semidirect
226. #1989C2×C11semidirect
227. #1949C2×C11semidirect
230. #1809C2×C11semidirect
231. #1809C2×C11semidirect
232. #1804C2×C11semidirect
444. C4⋊C8D4×C11semidirect
553. C11#24841direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4782
C2×C11×#4232
C11×#28512
C4×C11×#1212
C11×#20882
C11×#20862
C11×#20672
C11×#20652
C11×#19892
C11×#19492
C11×#18952
C11×#18092
C11×#18042
#2484111