Finite Group Databasebeta

← C11×#26366 #14603559

Subgroups — C11×#26366 #14603559

Order 2816.

896 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#478C211yesmaximal, characteristic, complemented
2C2×C11×#428C211yesmaximal, characteristic, complemented
3C11×#2441C211yesmaximal, characteristic, complemented
4C11×#2361C211yesmaximal, characteristic
5C11×#2094C211yesmaximal, characteristic, complemented
6C11×#2088C211yesmaximal, characteristic, complemented
7C11×#2067C211yesmaximal, characteristic, complemented
8C11×#2059C211yesmaximal, characteristic, complemented
9C11×#1948C211yesmaximal, characteristic, complemented
10C11×#1918C211yesmaximal, characteristic, complemented
11C11×#1895C211yesmaximal, characteristic
12C11×#1875C211yesmaximal, characteristic
13C11×#1864C211yesmaximal, characteristic, complemented
14C11×#1853C211yesmaximal, characteristic, complemented
15C11×#1851C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C11×#125C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C2×C4×D4×C11—21no—
20C2×C4×D4×C11C2211yescharacteristic
21C2×C11×#117C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C11×#478—24no—
24C11×#428—24no—
25C2×C11×#107C2211yescharacteristic
26C2×C11×#107C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×#106C2211yescharacteristic
30C2×C11×#106C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×C22⋊C8C2211yescharacteristic
38C11×#399—21no—
39C11×#396—21no—
40C11×#390C2211yescharacteristic
41C11×#389—21no—
42C11×#389C2211yescharacteristic
43C11×#389C2211yescharacteristic
44C11×#389C2211yescharacteristic
45C11×#388—21no—
46C11×#387—21no—
47C11×#386—21no—
48C11×#385—21no—
49C11×#384C2211yescharacteristic
50C11×#380C2211yescharacteristic
51C4×C11×C4⋊C4C2211yescharacteristic
52C4×C11×C22⋊C4C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11—21no—
65C23×C4×C11C2311yescharacteristic
66C2×C11×M16—22no—
67C2×C11×M16—22no—
68C2×C11×M16—22no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#125—22no—
74C11×#125—41no—
75C11×#121—22no—
76C11×#121Q814yes—
77C4×D4×C11—22no—
78C4×D4×C11—41no—
79C4×D4×C11—44no—
80C11×#117—22no—
81C11×#117—41no—
82C2×C11×C4⋊C4—22no—
83C2×C11×C4⋊C4—21no—
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⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—41no—
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—21no—
105C2×C11×C22⋊C4D411yescharacteristic
106C2×C11×C22⋊C4D411yescharacteristic
107C2×C42×C11—21no—
108C2×C42×C11—21no—
109C2×C42×C11C2311yescharacteristic
110C2×C42×C11C2311yescharacteristic
111C11×#107—22no—
112C11×#107D414yescomplemented
113C11×#106—22no—
114C11×#106—22no—
115C11×#106—22no—
116C11×#106—41no—
117C11×C4⋊C8—22no—
118C11×C4⋊C8—22no—
119C11×#102—22no—
120C11×#102—22no—
121C11×#102—22no—
122C11×#102—41no—
123C11×C22⋊C8—22no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95D411yescharacteristic
130C11×#95D411yescharacteristic
131#26366C1111yesmaximal, 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—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—42no—
157C22×C4×C11—42no—
158C22×C4×C11—81no—
159C22×C4×C11—81no—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×Q812yes—
166C22×C4×C11#4112yes—
167C22×C4×C11C2411yescharacteristic
168C11×M16—28no—
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—21no—
178C2×C8×C11—21no—
179C2×C8×C11C2×D412yes—
180C2×C8×C11#4112yes—
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—21no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4—42no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4—42no—
198C11×C4⋊C4—81no—
199C11×C4⋊C4—81no—
200C11×C4⋊C4C2×D412yes—
201C11×C4⋊C4C2×D412yes—
202C11×C4⋊C4C2×Q812yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—22no—
205C11×C22⋊C4—41no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—81no—
210C11×C22⋊C4—81no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C42×C11—42no—
216C42×C11—42no—
217C2×#478C2×C1111yescharacteristic, complemented
218C2×#428C2×C1111yescharacteristic, complemented
219#2441C2×C1111yescharacteristic, complemented
220#2361C2×C1111yescharacteristic
221#2094C2×C1111yescharacteristic, complemented
222#2088C2×C1111yescharacteristic, complemented
223#2067C2×C1111yescharacteristic, complemented
224#2059C2×C1111yescharacteristic, complemented
225#1948C2×C1111yescharacteristic, complemented
226#1918C2×C1111yescharacteristic, complemented
227#1895C2×C1111yescharacteristic
228#1875C2×C1111yescharacteristic
229#1864C2×C1111yescharacteristic, complemented
230#1853C2×C1111yescharacteristic, complemented
231#1851C2×C1111yescharacteristic, complemented
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—41no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11C22⋊Q812yes—
246C23×C11C22×D411yescharacteristic
247D4×C11—22no—
248D4×C11—22no—
249D4×C11—48no—
250D4×C11—41no—
251D4×C11—41no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—21no—
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—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—84no—
291C2×C4×C11—84no—
292C2×C4×C11C22⋊Q812yes—
293C2×C4×C11AGL(1,ℤ/8)12yes—
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×Q811yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C112−1+411yescharacteristic
300C8×C11—22no—
301C8×C11—22no—
302C8×C11—41no—
303C8×C11—41no—
304C22×M16C22×C1111yescharacteristic
305C2×#125C22×C1111yescharacteristic
306C2×#121C22×C1111yescharacteristic
307C2×C4×D4—21no—
308C2×C4×D4C22×C1111yescharacteristic
309C2×#117C22×C1111yescharacteristic
310C22×C4⋊C4C22×C1111yescharacteristic
311#478—24no—
312#428—24no—
313C2×#107C22×C1111yescharacteristic
314C2×#107C22×C1111yescharacteristic
315C2×#106C22×C1111yescharacteristic
316C2×#106C22×C1111yescharacteristic
317C2×#106C22×C1111yescharacteristic
318C2×#106C22×C1111yescharacteristic
319C2×C4⋊C8C22×C1111yescharacteristic
320C2×C4⋊C8C22×C1111yescharacteristic
321C2×#102C22×C1111yescharacteristic
322C2×#102C22×C1111yescharacteristic
323C2×#102C22×C1111yescharacteristic
324C2×#102C22×C1111yescharacteristic
325C2×C22⋊C8C22×C1111yescharacteristic
326#399—21no—
327#396—21no—
328#390C22×C1111yescharacteristic
329#389—21no—
330#389C22×C1111yescharacteristic
331#389C22×C1111yescharacteristic
332#389C22×C1111yescharacteristic
333#388—21no—
334#387—21no—
335#386—21no—
336#385—21no—
337#384C22×C1111yescharacteristic
338#380C22×C1111yescharacteristic
339C4×C4⋊C4C22×C1111yescharacteristic
340C4×C22⋊C4C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#340C22×C1111yescharacteristic
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345#340C22×C1111yescharacteristic
346#340C22×C1111yescharacteristic
347#336C22×C1111yescharacteristic
348#336C22×C1111yescharacteristic
349C22×C11—22no—
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—81no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11C2×C22⋊Q811yescharacteristic
364C22×C11D4211yescharacteristic
365C22×C11#54711yescharacteristic
366C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
367C22×C11#57511yescharacteristic
368C22×C11#57711yescharacteristic
369C22×C11#57711yescharacteristic
370C4×C11—22no—
371C4×C11—22no—
372C4×C11—42no—
373C4×C11—41no—
374C4×C11—41no—
375C4×C11—41no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—81no—
379C4×C11—81no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11#52511yescharacteristic
383C4×C11#53911yescharacteristic
384C4×C11D4×Q811yescharacteristic
385C4×C11#55411yescharacteristic
386C22×D4—21no—
387C22×D4C23×C1111yescharacteristic
388C23×C4—21no—
389C23×C4—21no—
390C23×C4C23×C1111yescharacteristic
391C2×M16—22no—
392C2×M16—22no—
393C2×M16—22no—
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398#125—22no—
399#125—41no—
400#121—22no—
401#121Q8×C1114yes—
402C4×D4—22no—
403C4×D4—41no—
404C4×D4—44no—
405#117—22no—
406#117—41no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—41no—
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×C4⋊C4C23×C1111yescharacteristic
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×C22⋊C4D4×C1111yescharacteristic
431C2×C22⋊C4D4×C1111yescharacteristic
432C2×C42—21no—
433C2×C42—21no—
434C2×C42C23×C1111yescharacteristic
435C2×C42C23×C1111yescharacteristic
436#107—22no—
437#107D4×C1114yescomplemented
438#106—22no—
439#106—22no—
440#106—22no—
441#106—41no—
442C4⋊C8—22no—
443C4⋊C8—22no—
444#102—22no—
445#102—22no—
446#102—22no—
447#102—41no—
448C22⋊C8—22no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95D4×C1111yescharacteristic
455#95D4×C1111yescharacteristic
456C2×C11—42no—
457C2×C11—82no—
458C2×C11#244911yescharacteristic
459C2×C11#307711yescharacteristic
460C2×C11#308411yescharacteristic
461C2×C11#327111yescharacteristic
462C2×C11#327211yescharacteristic
463C2×C11#334511yescharacteristic
464C2×C11#335111yescharacteristic
465C24—21no—
466C24C2×D4×C1111yescharacteristic
467C2×D4—24no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4C2×Q8×C1112yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—81no—
493C22×C4C2×D4×C1111yescharacteristic
494C22×C4C2×D4×C1111yescharacteristic
495C22×C4C2×D4×C1111yescharacteristic
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C2×Q8×C1112yes—
499C22×C4C11×#4112yes—
500C22×C4C24×C1111yescharacteristic
501M16—28no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8C2×D4×C1112yes—
513C2×C8C11×#4112yes—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—42no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—81no—
532C4⋊C4—81no—
533C4⋊C4C2×D4×C1112yes—
534C4⋊C4C2×D4×C1112yes—
535C4⋊C4C2×Q8×C1112yes—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—41no—
539C22⋊C4—42no—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—42no—
549C42—42no—
550C11#2636611yescharacteristic, direct product factor, Sylow
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—22no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23C11×C22⋊Q812yes—
565C23C22×D4×C1111yescharacteristic
566D4—22no—
567D4—22no—
568D4—48no—
569D4—41no—
570D4—41no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—22no—
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—41no—
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—84no—
610C2×C4—84no—
611C2×C4C11×C22⋊Q812yes—
612C2×C4C11×AGL(1,ℤ/8)12yes—
613C2×C4C22×D4×C1111yescharacteristic
614C2×C4C22×Q8×C1111yescharacteristic
615C2×C4C2×C11×#4111yescharacteristic
616C2×C4C2×C11×#4111yescharacteristic
617C2×C4C11×H(5,𝔽2)11yescharacteristic
618C2×C4C11×2−1+411yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C22—22no—
624C22—22no—
625C22—22no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22C2×C11×C22⋊Q811yescharacteristic
638C22D42×C1111yescharacteristic
639C22C11×#54711yescharacteristic
640C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
641C22C11×#57511yescharacteristic
642C22C11×#57711yescharacteristic
643C22C11×#57711yescharacteristic
644C4—22no—
645C4—22no—
646C4—41no—
647C4—41no—
648C4—42no—
649C4—42no—
650C4—42no—
651C4—41no—
652C4—81no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4C11×#52511yescharacteristic
657C4C11×#53911yescharacteristic
658C4D4×Q8×C1111yescharacteristic
659C4C11×#55411yescharacteristic
660C2—42no—
661C2—82no—
662C2C11×#244911yescharacteristic
663C2C11×#307711yescharacteristic
664C2C11×#308411yescharacteristic
665C2C11×#327111yescharacteristic
666C2C11×#327211yescharacteristic
667C2C11×#334511yescharacteristic
668C2C11×#335111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#121C22
LCSG ▷ C22×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
1. C2×C11×#478C2semidirect
2. C2×C11×#428C2semidirect
3. C11×#2441C2semidirect
5. C11×#2094C2semidirect
6. C11×#2088C2semidirect
7. C11×#2067C2semidirect
8. C11×#2059C2semidirect
9. C11×#1948C2semidirect
10. C11×#1918C2semidirect
13. C11×#1864C2semidirect
14. C11×#1853C2semidirect
15. C11×#1851C2semidirect
112. C11×#107D4semidirect
131. #26366C11direct (N × H)
217. C2×#478C2×C11semidirect
218. C2×#428C2×C11semidirect
219. #2441C2×C11semidirect
221. #2094C2×C11semidirect
222. #2088C2×C11semidirect
223. #2067C2×C11semidirect
224. #2059C2×C11semidirect
225. #1948C2×C11semidirect
226. #1918C2×C11semidirect
229. #1864C2×C11semidirect
230. #1853C2×C11semidirect
231. #1851C2×C11semidirect
437. #107D4×C11semidirect
550. C11#26366direct (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×#4282
C11×#24412
C11×#23612
C11×#20942
C11×#20882
C11×#20672
C11×#20592
C11×#19482
C11×#19182
C11×#18952
C11×#18752
C11×#18642
C11×#18532
C11×#18512
#2636611