Finite Group Databasebeta

← C11×#22938 #14600131

Subgroups — C11×#22938 #14600131

Order 2816.

958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#480C211yesmaximal, characteristic
2C11×#2361C211yesmaximal, characteristic
3C11×#2344C211yesmaximal, characteristic, complemented
4C11×#1943C211yesmaximal, characteristic, complemented
5C11×#1936C211yesmaximal, characteristic, complemented
6C11×#1926C211yesmaximal, characteristic, complemented
7C11×#1921C211yesmaximal, characteristic, complemented
8C11×#1921C211yesmaximal, characteristic, complemented
9C11×#1893C211yesmaximal, characteristic
10C11×#1864C211yesmaximal, characteristic, complemented
11C11×#1853C211yesmaximal, characteristic, complemented
12C11×#1776C211yesmaximal, characteristic, complemented
13C11×#1762C211yesmaximal, characteristic, complemented
14C11×#1752C211yesmaximal, characteristic, complemented
15C2×C11×#340C211yesmaximal, characteristic, complemented
16C23×C8×C11C2211yescharacteristic
17C2×C11×#121C2211yescharacteristic
18C2×C4×D4×C11—21no—
19C2×C4×D4×C11C2211yescharacteristic
20C2×C11×#117—21no—
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C11×#480C418yescomplemented
24C2×C11×#107C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C2×C11×#102C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×C22⋊C8C2211yescharacteristic
33C2×C11×#97C2211yescharacteristic
34C2×C11×#97C2211yescharacteristic
35C11×#390C2211yescharacteristic
36C11×#389C2211yescharacteristic
37C11×#389C2211yescharacteristic
38C11×#389C2211yescharacteristic
39C11×#388—21no—
40C11×#387—21no—
41C11×#387—21no—
42C11×#386—21no—
43C11×#385—21no—
44C11×#381—21no—
45C11×#380C2211yescharacteristic
46C4×C11×C4⋊C4C2211yescharacteristic
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C22⋊C4C2211yescharacteristic
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C22×D4×C11—21no—
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C22×C8×C11—22no—
67C22×C8×C11—22no—
68C22×C8×C11—41no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#121—22no—
74C11×#121C2×C414yes—
75C4×D4×C11—22no—
76C4×D4×C11—41no—
77C4×D4×C11—44no—
78C11×#117—44no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—22no—
81C2×C11×C4⋊C4—22no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—21no—
86C2×C11×C4⋊C4—41no—
87C2×C11×C4⋊C4C2×C414yescomplemented
88C2×C11×C4⋊C4C2311yescharacteristic
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×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⋊C4D411yescharacteristic
101C2×C11×C22⋊C4D411yescharacteristic
102C2×C42×C11—21no—
103C2×C42×C11—21no—
104C2×C42×C11—21no—
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2311yescharacteristic
107C11×#107C2×C414yescomplemented
108C11×#107C2×C414yescomplemented
109C11×#106—22no—
110C11×#106—41no—
111C11×#102—22no—
112C11×#102—41no—
113C11×#102C2×C414yescomplemented
114C11×#102C2×C414yescomplemented
115C11×C22⋊C8C2×C414yescomplemented
116C11×#97—22no—
117C11×#97—41no—
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#22938C1111yesmaximal, characteristic, direct product factor, Sylow
128C24×C11—21no—
129C24×C11C2×D411yescharacteristic
130C2×D4×C11—24no—
131C2×D4×C11—21no—
132C2×D4×C11—21no—
133C2×D4×C11—21no—
134C2×D4×C11—21no—
135C2×D4×C11—21no—
136C2×D4×C11—42no—
137C2×D4×C11—42no—
138C2×D4×C11C22×C412yes—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—24no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—42no—
152C22×C4×C11—42no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—81no—
158C22×C4×C11—81no—
159C22×C4×C11C22×C412yes—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11#4112yes—
166C22×C4×C11C2411yescharacteristic
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—44no—
177C2×C8×C11C22×C412yes—
178C2×C8×C11C22×C412yes—
179C2×C8×C11#4112yes—
180C11×C4⋊C4—24no—
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—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—42no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4C22×C412yes—
196C11×C4⋊C4C22×C412yes—
197C11×C4⋊C4C22×C412yes—
198C11×C4⋊C4#4112yes—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—24no—
202C11×C22⋊C4—42no—
203C11×C22⋊C4—42no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—81no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11—42no—
211C42×C11—42no—
212C42×C11—42no—
213C2×#480C2×C1111yescharacteristic
214#2361C2×C1111yescharacteristic
215#2344C2×C1111yescharacteristic, complemented
216#1943C2×C1111yescharacteristic, complemented
217#1936C2×C1111yescharacteristic, complemented
218#1926C2×C1111yescharacteristic, complemented
219#1921C2×C1111yescharacteristic, complemented
220#1921C2×C1111yescharacteristic, complemented
221#1893C2×C1111yescharacteristic
222#1864C2×C1111yescharacteristic, complemented
223#1853C2×C1111yescharacteristic, complemented
224#1776C2×C1111yescharacteristic, complemented
225#1762C2×C1111yescharacteristic, complemented
226#1752C2×C1111yescharacteristic, complemented
227C2×#340C2×C1111yescharacteristic, complemented
228C23×C11—21no—
229C23×C11—21no—
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—22no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11C4×D412yes—
240C23×C11AGL(1,ℤ/8)12yes—
241C23×C11AGL(1,ℤ/8)12yes—
242C23×C11C22×D411yescharacteristic
243D4×C11—22no—
244D4×C11—22no—
245D4×C11—48no—
246D4×C11—41no—
247D4×C11—41no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—22no—
251C2×C4×C11—22no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—22no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—41no—
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—48no—
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—84no—
289C2×C4×C11—84no—
290C2×C4×C11C4×D412yes—
291C2×C4×C11C23×C411yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11H(5,𝔽2)11yescharacteristic
296C2×C4×C112−1+411yescharacteristic
297C8×C11—22no—
298C8×C11—22no—
299C8×C11—22no—
300C8×C11—41no—
301C23×C8C22×C1111yescharacteristic
302C2×#121C22×C1111yescharacteristic
303C2×C4×D4—21no—
304C2×C4×D4C22×C1111yescharacteristic
305C2×#117—21no—
306C22×C4⋊C4C22×C1111yescharacteristic
307C22×C4⋊C4C22×C1111yescharacteristic
308#480C4×C1118yescomplemented
309C2×#107C22×C1111yescharacteristic
310C2×#107C22×C1111yescharacteristic
311C2×#106C22×C1111yescharacteristic
312C2×#106C22×C1111yescharacteristic
313C2×#102C22×C1111yescharacteristic
314C2×#102C22×C1111yescharacteristic
315C2×#102C22×C1111yescharacteristic
316C2×#102C22×C1111yescharacteristic
317C2×C22⋊C8C22×C1111yescharacteristic
318C2×#97C22×C1111yescharacteristic
319C2×#97C22×C1111yescharacteristic
320#390C22×C1111yescharacteristic
321#389C22×C1111yescharacteristic
322#389C22×C1111yescharacteristic
323#389C22×C1111yescharacteristic
324#388—21no—
325#387—21no—
326#387—21no—
327#386—21no—
328#385—21no—
329#381—21no—
330#380C22×C1111yescharacteristic
331C4×C4⋊C4C22×C1111yescharacteristic
332C4×C4⋊C4C22×C1111yescharacteristic
333C4×C4⋊C4C22×C1111yescharacteristic
334C4×C22⋊C4C22×C1111yescharacteristic
335#340C22×C1111yescharacteristic
336#340C22×C1111yescharacteristic
337#340C22×C1111yescharacteristic
338#340C22×C1111yescharacteristic
339#340C22×C1111yescharacteristic
340#340C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#340C22×C1111yescharacteristic
343#336C22×C1111yescharacteristic
344#336C22×C1111yescharacteristic
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—22no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—81no—
355C22×C11—81no—
356C22×C11—81no—
357C22×C11—81no—
358C22×C11#44214yes—
359C22×C11C2×C4×D411yescharacteristic
360C22×C11#54611yescharacteristic
361C22×C11#54711yescharacteristic
362C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
363C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
364C22×C11#57711yescharacteristic
365C22×C11#57811yescharacteristic
366C4×C11—22no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—42no—
370C4×C11—42no—
371C4×C11—42no—
372C4×C11—41no—
373C4×C11—41no—
374C4×C11—42no—
375C4×C11—81no—
376C4×C11—81no—
377C4×C11—81no—
378C4×C11C4×#4111yescharacteristic
379C4×C11#52011yescharacteristic
380C4×C11#55111yescharacteristic
381C4×C11#55211yescharacteristic
382C22×D4—21no—
383C22×D4C23×C1111yescharacteristic
384C23×C4—21no—
385C23×C4—21no—
386C23×C4—21no—
387C23×C4C23×C1111yescharacteristic
388C22×C8—22no—
389C22×C8—22no—
390C22×C8—41no—
391C22×C8C23×C1111yescharacteristic
392C22×C8C23×C1111yescharacteristic
393C22×C8C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395#121—22no—
396#121C2×C4×C1114yes—
397C4×D4—22no—
398C4×D4—41no—
399C4×D4—44no—
400#117—44no—
401C2×C4⋊C4—21no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—41no—
409C2×C4⋊C4C2×C4×C1114yescomplemented
410C2×C4⋊C4C23×C1111yescharacteristic
411C2×C4⋊C4C23×C1111yescharacteristic
412C2×C4⋊C4C23×C1111yescharacteristic
413C2×C4⋊C4C23×C1111yescharacteristic
414C2×C4⋊C4C23×C1111yescharacteristic
415C2×C4⋊C4C23×C1111yescharacteristic
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4D4×C1111yescharacteristic
423C2×C22⋊C4D4×C1111yescharacteristic
424C2×C42—21no—
425C2×C42—21no—
426C2×C42—21no—
427C2×C42C23×C1111yescharacteristic
428C2×C42C23×C1111yescharacteristic
429#107C2×C4×C1114yescomplemented
430#107C2×C4×C1114yescomplemented
431#106—22no—
432#106—41no—
433#102—22no—
434#102—41no—
435#102C2×C4×C1114yescomplemented
436#102C2×C4×C1114yescomplemented
437C22⋊C8C2×C4×C1114yescomplemented
438#97—22no—
439#97—41no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95D4×C1111yescharacteristic
448#95D4×C1111yescharacteristic
449C2×C11—24no—
450C2×C11—82no—
451C2×C11#235911yescharacteristic
452C2×C11C2×#44211yescharacteristic
453C2×C11#294711yescharacteristic
454C2×C11#330811yescharacteristic
455C2×C11#331011yescharacteristic
456C2×C11#334311yescharacteristic
457C2×C11#334511yescharacteristic
458C24—21no—
459C24C2×D4×C1111yescharacteristic
460C2×D4—24no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4C22×C4×C1112yes—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4C22×C4×C1112yes—
490C22×C4C2×D4×C1111yescharacteristic
491C22×C4C2×D4×C1111yescharacteristic
492C22×C4C2×D4×C1111yescharacteristic
493C22×C4C2×D4×C1111yescharacteristic
494C22×C4C2×D4×C1111yescharacteristic
495C22×C4C11×#4112yes—
496C22×C4C24×C1111yescharacteristic
497C2×C8—21no—
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—44no—
507C2×C8C22×C4×C1112yes—
508C2×C8C22×C4×C1112yes—
509C2×C8C11×#4112yes—
510C4⋊C4—24no—
511C4⋊C4—21no—
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—42no—
525C4⋊C4C22×C4×C1112yes—
526C4⋊C4C22×C4×C1112yes—
527C4⋊C4C22×C4×C1112yes—
528C4⋊C4C11×#4112yes—
529C22⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—24no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—81no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C42—42no—
542C42—42no—
543C11#2293811yescharacteristic, direct product factor, Sylow
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—22no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23C4×D4×C1112yes—
556C23C11×AGL(1,ℤ/8)12yes—
557C23C11×AGL(1,ℤ/8)12yes—
558C23C22×D4×C1111yescharacteristic
559D4—22no—
560D4—22no—
561D4—48no—
562D4—41no—
563D4—41no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—48no—
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—84no—
605C2×C4—84no—
606C2×C4C4×D4×C1112yes—
607C2×C4C23×C4×C1111yescharacteristic
608C2×C4C2×C11×#4111yescharacteristic
609C2×C4C2×C11×#4111yescharacteristic
610C2×C4C2×C11×#4111yescharacteristic
611C2×C4C11×H(5,𝔽2)11yescharacteristic
612C2×C4C11×2−1+411yescharacteristic
613C8—22no—
614C8—22no—
615C8—22no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—22no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22C11×#44214yes—
631C22C2×C4×D4×C1111yescharacteristic
632C22C11×#54611yescharacteristic
633C22C11×#54711yescharacteristic
634C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
635C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
636C22C11×#57711yescharacteristic
637C22C11×#57811yescharacteristic
638C4—22no—
639C4—42no—
640C4—42no—
641C4—42no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—41no—
646C4—41no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C4×C11×#4111yescharacteristic
651C4C11×#52011yescharacteristic
652C4C11×#55111yescharacteristic
653C4C11×#55211yescharacteristic
654C2—24no—
655C2—82no—
656C2C11×#235911yescharacteristic
657C2C2×C11×#44211yescharacteristic
658C2C11×#294711yescharacteristic
659C2C11×#330811yescharacteristic
660C2C11×#331011yescharacteristic
661C2C11×#334311yescharacteristic
662C2C11×#334511yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#121C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
3. C11×#2344C2semidirect
4. C11×#1943C2semidirect
5. C11×#1936C2semidirect
6. C11×#1926C2semidirect
7. C11×#1921C2semidirect
8. C11×#1921C2semidirect
10. C11×#1864C2semidirect
11. C11×#1853C2semidirect
12. C11×#1776C2semidirect
13. C11×#1762C2semidirect
14. C11×#1752C2semidirect
15. C2×C11×#340C2semidirect
23. C11×#480C4semidirect
87. C2×C11×C4⋊C4C2×C4semidirect
107. C11×#107C2×C4semidirect
108. C11×#107C2×C4semidirect
113. C11×#102C2×C4semidirect
114. C11×#102C2×C4semidirect
115. C11×C22⋊C8C2×C4semidirect
127. #22938C11direct (N × H)
215. #2344C2×C11semidirect
216. #1943C2×C11semidirect
217. #1936C2×C11semidirect
218. #1926C2×C11semidirect
219. #1921C2×C11semidirect
220. #1921C2×C11semidirect
222. #1864C2×C11semidirect
223. #1853C2×C11semidirect
224. #1776C2×C11semidirect
225. #1762C2×C11semidirect
226. #1752C2×C11semidirect
227. C2×#340C2×C11semidirect
308. #480C4×C11semidirect
409. C2×C4⋊C4C2×C4×C11semidirect
429. #107C2×C4×C11semidirect
430. #107C2×C4×C11semidirect
435. #102C2×C4×C11semidirect
436. #102C2×C4×C11semidirect
437. C22⋊C8C2×C4×C11semidirect
543. C11#22938direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4802
C11×#23612
C11×#23442
C11×#19432
C11×#19362
C11×#19262
C11×#19212
C11×#18932
C11×#18642
C11×#18532
C11×#17762
C11×#17622
C11×#17522
C2×C11×#3402
#2293811