Finite Group Databasebeta

← C11×#21875 #14599068

Subgroups — C11×#21875 #14599068

Order 2816.

1158 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#529C211yesmaximal, characteristic
2C11×#2285C211yesmaximal, characteristic, complemented
3C11×#2283C211yesmaximal, characteristic, complemented
4C11×#1996C212yesmaximal, complemented
5C11×#1964C212yesmaximal
6C11×#1899C214yesmaximal, complemented
7C11×#1799C214yesmaximal, complemented
8C11×#529—21no—
9C11×#529—21no—
10C11×#529—21no—
11C11×#529—21no—
12C11×#529—21no—
13C11×#529—21no—
14C11×#529—21no—
15C11×#529—21no—
16C2×C11×#126C412yescomplemented
17C2×C11×#125C411yescharacteristic, complemented
18C2×C11×#124C411yescharacteristic, complemented
19C2×C11×#123C2212yes—
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×#121C2211yescharacteristic
22C2×C4×Q8×C11C411yescharacteristic, complemented
23C2×C4×D4×C11C411yescharacteristic, complemented
24C2×C4×D4×C11C2212yes—
25C2×C11×#117C412yescomplemented
26C2×C11×#117C2212yes—
27C22×C42×C11C2211yescharacteristic
28C2×C11×#99C2218yes—
29C11×#384—21no—
30C11×#383—21no—
31C11×#382—21no—
32C11×#382—21no—
33C11×#381C2212yes—
34C11×#380C2212yes—
35C11×#380C2212yes—
36C11×#380C2212yes—
37C4×C11×C4⋊C4—21no—
38C4×C11×C4⋊C4—21no—
39C4×C11×C4⋊C4—21no—
40C4×C11×C22⋊C4C2212yes—
41C11×#376—21no—
42C11×#342C2218yes—
43C22×Q8×C11C2×C411yescharacteristic
44C22×D4×C11C2×C411yescharacteristic
45C22×D4×C11C2312yes—
46C23×C4×C11C2×C412yes—
47C23×C4×C11C2311yescharacteristic
48C23×C4×C11C2311yescharacteristic
49C23×C4×C11C2311yescharacteristic
50C11×#126—22no—
51C11×#126—22no—
52C11×#126—22no—
53C11×#126—22no—
54C11×#125—21no—
55C11×#125—21no—
56C11×#125—21no—
57C11×#125—21no—
58C11×#124—21no—
59C11×#124—21no—
60C11×#124—21no—
61C11×#124—21no—
62C11×#123—22no—
63C11×#123—22no—
64C11×#123—22no—
65C11×#123—22no—
66C11×C22⋊Q8—21no—
67C11×C22⋊Q8—21no—
68C11×C22⋊Q8—21no—
69C11×C22⋊Q8—21no—
70C11×#121—21no—
71C11×#121—21no—
72C11×#121—21no—
73C11×#121—21no—
74C4×Q8×C11—21no—
75C4×Q8×C11—21no—
76C4×Q8×C11—21no—
77C4×Q8×C11—21no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C4×D4×C11—22no—
81C4×D4×C11—22no—
82C4×D4×C11—21no—
83C4×D4×C11—21no—
84C4×D4×C11—21no—
85C4×D4×C11—21no—
86C11×#117—22no—
87C11×#117—22no—
88C11×#117—22no—
89C11×#117—22no—
90C11×#117—44no—
91C2×C11×C4⋊C4—22no—
92C2×C11×C4⋊C4—22no—
93C2×C11×C4⋊C4—22no—
94C2×C11×C4⋊C4—22no—
95C2×C11×C4⋊C4C2×C412yes—
96C2×C11×C4⋊C4C2×C412yes—
97C2×C11×C4⋊C4C2×C411yescharacteristic
98C2×C11×C4⋊C4C2×C412yes—
99C2×C11×C4⋊C4C2×C411yescharacteristic
100C2×C11×C4⋊C4C2×C412yes—
101C2×C11×C22⋊C4C2×C412yes—
102C2×C11×C22⋊C4C2×C412yes—
103C2×C11×C22⋊C4C2×C412yes—
104C2×C11×C22⋊C4C2×C412yes—
105C2×C11×C22⋊C4C2314yes—
106C2×C11×C22⋊C4C2314yes—
107C2×C11×C22⋊C4C2312yes—
108C2×C42×C11—22no—
109C2×C42×C11—22no—
110C2×C42×C11C2×C412yes—
111C2×C42×C11C2×C411yescharacteristic
112C2×C42×C11C2×C411yescharacteristic
113C2×C42×C11C2×C411yescharacteristic
114C2×C42×C11C2×C411yescharacteristic
115C2×C42×C11D411yescharacteristic
116C2×C42×C11D411yescharacteristic
117C2×C42×C11D411yescharacteristic
118C2×C42×C11D411yescharacteristic
119C2×C42×C11D411yescharacteristic
120C2×C42×C11D411yescharacteristic
121C2×C42×C11D411yescharacteristic
122C2×C42×C11D411yescharacteristic
123C11×#99—48no—
124C11×#95—22no—
125C11×#95—22no—
126C11×#95—22no—
127C11×#95—22no—
128C11×#95—22no—
129C11×#95—22no—
130#21875C1111yesmaximal, characteristic, direct product factor, Sylow
131C24×C11C22×C412yes—
132C24×C11C2411yescharacteristic
133C2×Q8×C11—21no—
134C2×Q8×C11—21no—
135C2×Q8×C11—42no—
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—24no—
139C2×D4×C11—24no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—42no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—24no—
148C22×C4×C11—24no—
149C22×C4×C11—42no—
150C22×C4×C11—42no—
151C22×C4×C11—44no—
152C22×C4×C11C22×C412yes—
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C22×C412yes—
158C22×C4×C11C22×C412yes—
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C22×C411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
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×C11C2×D411yescharacteristic
173C11×C4⋊C4—22no—
174C11×C4⋊C4—22no—
175C11×C4⋊C4—22no—
176C11×C4⋊C4—22no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—44no—
186C11×C4⋊C4—44no—
187C11×C4⋊C4—44no—
188C11×C4⋊C4—44no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—22no—
195C11×C22⋊C4—22no—
196C11×C22⋊C4—22no—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—22no—
199C11×C22⋊C4—24no—
200C11×C22⋊C4—28no—
201C11×C22⋊C4—24no—
202C42×C11—22no—
203C42×C11—22no—
204C42×C11—44no—
205C42×C11—44no—
206C42×C11C22⋊C411yescharacteristic
207C42×C11C22⋊C411yescharacteristic
208C42×C11C22⋊C411yescharacteristic
209C42×C11C22⋊C411yescharacteristic
210C42×C11C22⋊C411yescharacteristic
211C42×C11C22⋊C411yescharacteristic
212C42×C11C22⋊C411yescharacteristic
213C42×C11C22⋊C411yescharacteristic
214C42×C11C22⋊C411yescharacteristic
215C42×C11C22⋊C411yescharacteristic
216C42×C11C22⋊C411yescharacteristic
217C42×C11C22⋊C411yescharacteristic
218C42×C11C22⋊C411yescharacteristic
219C42×C11C22⋊C411yescharacteristic
220C42×C11C22⋊C411yescharacteristic
221C42×C11C22⋊C411yescharacteristic
222C2×#529C2×C1111yescharacteristic
223#2285C2×C1111yescharacteristic, complemented
224#2283C2×C1111yescharacteristic, complemented
225#1996C2×C1112yescomplemented
226#1964C2×C1112yes—
227#1899C2×C1114yescomplemented
228#1799C2×C1114yescomplemented
229C23×C11—22no—
230C23×C11—24no—
231C23×C11—41no—
232C23×C11—41no—
233C23×C11—42no—
234C23×C11—42no—
235C23×C11C23×C411yescharacteristic
236C23×C11C22×D411yescharacteristic
237C23×C11C22×D411yescharacteristic
238C23×C11H(5,𝔽2)12yes—
239C23×C112−1+412yes—
240Q8×C11—42no—
241Q8×C11—42no—
242D4×C11—42no—
243D4×C11—42no—
244D4×C11—42no—
245D4×C11—44no—
246D4×C11—42no—
247C2×C4×C11—22no—
248C2×C4×C11—22no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—24no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—44no—
272C2×C4×C11—44no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—44no—
276C2×C4×C11—44no—
277C2×C4×C11—44no—
278C2×C4×C11—44no—
279C2×C4×C11—44no—
280C2×C4×C11—44no—
281C2×C4×C11C2×C22⋊C411yescharacteristic
282C2×C4×C11C2×C22⋊C411yescharacteristic
283C2×C4×C11C2×C22⋊C411yescharacteristic
284C2×C4×C11C2×C22⋊C411yescharacteristic
285C2×C4×C11C2×C22⋊C411yescharacteristic
286C2×C4×C11C2×C22⋊C411yescharacteristic
287C2×C4×C11C2×C22⋊C411yescharacteristic
288C2×C4×C11C2×C22⋊C411yescharacteristic
289C2×C4×C11C2×C22⋊C411yescharacteristic
290C2×C4×C11C2×C22⋊C411yescharacteristic
291C2×C4×C11C2×C22⋊C411yescharacteristic
292C2×C4×C11C2×C22⋊C411yescharacteristic
293#529—21no—
294#529—21no—
295#529—21no—
296#529—21no—
297#529—21no—
298#529—21no—
299#529—21no—
300#529—21no—
301C2×#126C4×C1112yescomplemented
302C2×#125C4×C1111yescharacteristic, complemented
303C2×#124C4×C1111yescharacteristic, complemented
304C2×#123C22×C1112yes—
305C2×C22⋊Q8C22×C1111yescharacteristic
306C2×#121C22×C1111yescharacteristic
307C2×C4×Q8C4×C1111yescharacteristic, complemented
308C2×C4×D4C4×C1111yescharacteristic, complemented
309C2×C4×D4C22×C1112yes—
310C2×#117C4×C1112yescomplemented
311C2×#117C22×C1112yes—
312C22×C42C22×C1111yescharacteristic
313C2×#99C22×C1118yes—
314#384—21no—
315#383—21no—
316#382—21no—
317#382—21no—
318#381C22×C1112yes—
319#380C22×C1112yes—
320#380C22×C1112yes—
321#380C22×C1112yes—
322C4×C4⋊C4—21no—
323C4×C4⋊C4—21no—
324C4×C4⋊C4—21no—
325C4×C22⋊C4C22×C1112yes—
326#376—21no—
327#342C22×C1118yes—
328C22×C11—21no—
329C22×C11—21no—
330C22×C11—21no—
331C22×C11—21no—
332C22×C11—21no—
333C22×C11—21no—
334C22×C11—42no—
335C22×C11—42no—
336C22×C11—42no—
337C22×C11—42no—
338C22×C11—42no—
339C22×C11—84no—
340C22×C11C22×C22⋊C411yescharacteristic
341C22×C11#52012yes—
342C22×C11#53511yescharacteristic
343C22×C11#53611yescharacteristic
344C22×C11#53712yes—
345C4×C11—21no—
346C4×C11—21no—
347C4×C11—21no—
348C4×C11—21no—
349C4×C11—21no—
350C4×C11—21no—
351C4×C11—21no—
352C4×C11—21no—
353C4×C11—21no—
354C4×C11—21no—
355C4×C11—42no—
356C4×C11—42no—
357C4×C11—42no—
358C4×C11—84no—
359C4×C11—84no—
360C4×C11#41012yes—
361C4×C11#41012yes—
362C22×Q8C2×C4×C1111yescharacteristic
363C22×D4C2×C4×C1111yescharacteristic
364C22×D4C23×C1112yes—
365C23×C4C2×C4×C1112yes—
366C23×C4C23×C1111yescharacteristic
367C23×C4C23×C1111yescharacteristic
368C23×C4C23×C1111yescharacteristic
369#126—22no—
370#126—22no—
371#126—22no—
372#126—22no—
373#125—21no—
374#125—21no—
375#125—21no—
376#125—21no—
377#124—21no—
378#124—21no—
379#124—21no—
380#124—21no—
381#123—22no—
382#123—22no—
383#123—22no—
384#123—22no—
385C22⋊Q8—21no—
386C22⋊Q8—21no—
387C22⋊Q8—21no—
388C22⋊Q8—21no—
389#121—21no—
390#121—21no—
391#121—21no—
392#121—21no—
393C4×Q8—21no—
394C4×Q8—21no—
395C4×Q8—21no—
396C4×Q8—21no—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—21no—
402C4×D4—21no—
403C4×D4—21no—
404C4×D4—21no—
405#117—22no—
406#117—22no—
407#117—22no—
408#117—22no—
409#117—44no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—22no—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4C2×C4×C1112yes—
415C2×C4⋊C4C2×C4×C1112yes—
416C2×C4⋊C4C2×C4×C1111yescharacteristic
417C2×C4⋊C4C2×C4×C1112yes—
418C2×C4⋊C4C2×C4×C1111yescharacteristic
419C2×C4⋊C4C2×C4×C1112yes—
420C2×C22⋊C4C2×C4×C1112yes—
421C2×C22⋊C4C2×C4×C1112yes—
422C2×C22⋊C4C2×C4×C1112yes—
423C2×C22⋊C4C2×C4×C1112yes—
424C2×C22⋊C4C23×C1114yes—
425C2×C22⋊C4C23×C1114yes—
426C2×C22⋊C4C23×C1112yes—
427C2×C42—22no—
428C2×C42—22no—
429C2×C42C2×C4×C1112yes—
430C2×C42C2×C4×C1111yescharacteristic
431C2×C42C2×C4×C1111yescharacteristic
432C2×C42C2×C4×C1111yescharacteristic
433C2×C42C2×C4×C1111yescharacteristic
434C2×C42D4×C1111yescharacteristic
435C2×C42D4×C1111yescharacteristic
436C2×C42D4×C1111yescharacteristic
437C2×C42D4×C1111yescharacteristic
438C2×C42D4×C1111yescharacteristic
439C2×C42D4×C1111yescharacteristic
440C2×C42D4×C1111yescharacteristic
441C2×C42D4×C1111yescharacteristic
442#99—48no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449C2×C11—21no—
450C2×C11—22no—
451C2×C11—22no—
452C2×C11—21no—
453C2×C11—82no—
454C2×C11#231111yescharacteristic
455C2×C11C2×#41011yescharacteristic
456C2×C11C2×#41011yescharacteristic
457C24C22×C4×C1112yes—
458C24C24×C1111yescharacteristic
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—42no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—24no—
465C2×D4—24no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—42no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—44no—
478C22×C4C22×C4×C1112yes—
479C22×C4C22×C4×C1111yescharacteristic
480C22×C4C22×C4×C1111yescharacteristic
481C22×C4C22×C4×C1111yescharacteristic
482C22×C4C22×C4×C1111yescharacteristic
483C22×C4C22×C4×C1112yes—
484C22×C4C22×C4×C1112yes—
485C22×C4C22×C4×C1111yescharacteristic
486C22×C4C22×C4×C1111yescharacteristic
487C22×C4C2×D4×C1111yescharacteristic
488C22×C4C2×D4×C1111yescharacteristic
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×C4C2×D4×C1111yescharacteristic
496C22×C4C2×D4×C1111yescharacteristic
497C22×C4C2×D4×C1111yescharacteristic
498C22×C4C2×D4×C1111yescharacteristic
499C4⋊C4—22no—
500C4⋊C4—22no—
501C4⋊C4—22no—
502C4⋊C4—22no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—22no—
510C4⋊C4—22no—
511C4⋊C4—44no—
512C4⋊C4—44no—
513C4⋊C4—44no—
514C4⋊C4—44no—
515C22⋊C4—22no—
516C22⋊C4—22no—
517C22⋊C4—22no—
518C22⋊C4—22no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—22no—
525C22⋊C4—24no—
526C22⋊C4—28no—
527C22⋊C4—24no—
528C42—22no—
529C42—22no—
530C42—44no—
531C42—44no—
532C42C11×C22⋊C411yescharacteristic
533C42C11×C22⋊C411yescharacteristic
534C42C11×C22⋊C411yescharacteristic
535C42C11×C22⋊C411yescharacteristic
536C42C11×C22⋊C411yescharacteristic
537C42C11×C22⋊C411yescharacteristic
538C42C11×C22⋊C411yescharacteristic
539C42C11×C22⋊C411yescharacteristic
540C42C11×C22⋊C411yescharacteristic
541C42C11×C22⋊C411yescharacteristic
542C42C11×C22⋊C411yescharacteristic
543C42C11×C22⋊C411yescharacteristic
544C42C11×C22⋊C411yescharacteristic
545C42C11×C22⋊C411yescharacteristic
546C42C11×C22⋊C411yescharacteristic
547C42C11×C22⋊C411yescharacteristic
548C11#2187511yescharacteristic, direct product factor, Sylow
549C23—22no—
550C23—24no—
551C23—41no—
552C23—41no—
553C23—42no—
554C23—42no—
555C23C23×C4×C1111yescharacteristic
556C23C22×D4×C1111yescharacteristic
557C23C22×D4×C1111yescharacteristic
558C23C11×H(5,𝔽2)12yes—
559C23C11×2−1+412yes—
560Q8—42no—
561Q8—42no—
562D4—42no—
563D4—42no—
564D4—42no—
565D4—44no—
566D4—42no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—44no—
598C2×C4—44no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4C2×C11×C22⋊C411yescharacteristic
602C2×C4C2×C11×C22⋊C411yescharacteristic
603C2×C4C2×C11×C22⋊C411yescharacteristic
604C2×C4C2×C11×C22⋊C411yescharacteristic
605C2×C4C2×C11×C22⋊C411yescharacteristic
606C2×C4C2×C11×C22⋊C411yescharacteristic
607C2×C4C2×C11×C22⋊C411yescharacteristic
608C2×C4C2×C11×C22⋊C411yescharacteristic
609C2×C4C2×C11×C22⋊C411yescharacteristic
610C2×C4C2×C11×C22⋊C411yescharacteristic
611C2×C4C2×C11×C22⋊C411yescharacteristic
612C2×C4C2×C11×C22⋊C411yescharacteristic
613C22—21no—
614C22—21no—
615C22—21no—
616C22—21no—
617C22—21no—
618C22—21no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—84no—
625C22C22×C11×C22⋊C411yescharacteristic
626C22C11×#52012yes—
627C22C11×#53511yescharacteristic
628C22C11×#53611yescharacteristic
629C22C11×#53712yes—
630C4—21no—
631C4—21no—
632C4—21no—
633C4—21no—
634C4—21no—
635C4—21no—
636C4—21no—
637C4—21no—
638C4—21no—
639C4—21no—
640C4—42no—
641C4—42no—
642C4—42no—
643C4—84no—
644C4—84no—
645C4C11×#41012yes—
646C4C11×#41012yes—
647C2—21no—
648C2—22no—
649C2—22no—
650C2—21no—
651C2—82no—
652C2C11×#231111yescharacteristic
653C2C2×C11×#41011yescharacteristic
654C2C2×C11×#41011yescharacteristic
subgroupG/H
center, socleC22×C11C22×C22⋊C4
commutatorC23C23×C4×C11
Frattini, cosocleC24C24×C11
prime radicalC2×C11×#121C22
LCSG ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2285C2semidirect
3. C11×#2283C2semidirect
4. C11×#1996C2semidirect
6. C11×#1899C2semidirect
7. C11×#1799C2semidirect
16. C2×C11×#126C4semidirect
17. C2×C11×#125C4semidirect
18. C2×C11×#124C4semidirect
22. C2×C4×Q8×C11C4semidirect
23. C2×C4×D4×C11C4semidirect
25. C2×C11×#117C4semidirect
130. #21875C11direct (N × H)
223. #2285C2×C11semidirect
224. #2283C2×C11semidirect
225. #1996C2×C11semidirect
227. #1899C2×C11semidirect
228. #1799C2×C11semidirect
301. C2×#126C4×C11semidirect
302. C2×#125C4×C11semidirect
303. C2×#124C4×C11semidirect
307. C2×C4×Q8C4×C11semidirect
308. C2×C4×D4C4×C11semidirect
310. C2×#117C4×C11semidirect
548. C11#21875direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5292
C11×#22852
C11×#22832
C11×#19962
C11×#19642
C11×#18992
C11×#17992
#2187511