Finite Group Databasebeta

← C11×#11292 #14588485

Subgroups — C11×#11292 #14588485

Order 2816.

842 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#389C211yesmaximal, characteristic
2C2×C11×#340C211yesmaximal, characteristic
3C2×C11×#340C211yesmaximal, characteristic
4C2×C11×#340C211yesmaximal, characteristic
5C2×C11×#340C211yesmaximal, characteristic
6C2×C11×#336C211yesmaximal, characteristic
7C11×C4⋊#95C211yesmaximal, characteristic
8C23×C8×C11C2211yescharacteristic
9C23×C8×C11C2211yescharacteristic
10C22×C11×C4⋊C4—21no—
11C22×C11×C4⋊C4C2211yescharacteristic
12C22×C11×C4⋊C4C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C42×C11C2211yescharacteristic
16C11×#389—22no—
17C11×#389—22no—
18C2×C11×#95—21no—
19C2×C11×#95—21no—
20C2×C11×#95—21no—
21C11×#340—22no—
22C11×#340—22no—
23C11×#340—22no—
24C11×#340C414yescomplemented
25C11×#336—22no—
26C23×C4×C11—21no—
27C23×C4×C11—21no—
28C23×C4×C11—21no—
29C23×C4×C11—21no—
30C23×C4×C11D411yescharacteristic
31C23×C4×C11D411yescharacteristic
32C23×C4×C11C2311yescharacteristic
33C22×C8×C11—21no—
34C22×C8×C11—21no—
35C22×C8×C11—21no—
36C22×C8×C11—21no—
37C22×C8×C11—21no—
38C22×C8×C11—21no—
39C22×C8×C11—21no—
40C22×C8×C11—21no—
41C22×C8×C11—21no—
42C22×C8×C11—21no—
43C22×C8×C11—21no—
44C22×C8×C11—21no—
45C22×C8×C11C2×C412yes—
46C22×C8×C11D412yes—
47C2×C11×C4⋊C4—21no—
48C2×C11×C4⋊C4—21no—
49C2×C11×C4⋊C4—21no—
50C2×C11×C4⋊C4—21no—
51C2×C11×C4⋊C4—21no—
52C2×C11×C4⋊C4—21no—
53C2×C11×C4⋊C4—21no—
54C2×C11×C4⋊C4—21no—
55C2×C11×C4⋊C4—21no—
56C2×C11×C4⋊C4—21no—
57C2×C11×C4⋊C4—21no—
58C2×C11×C4⋊C4—21no—
59C2×C11×C4⋊C4—21no—
60C2×C11×C4⋊C4—21no—
61C2×C11×C4⋊C4—21no—
62C2×C11×C4⋊C4—24no—
63C2×C11×C4⋊C4—21no—
64C2×C11×C4⋊C4—21no—
65C2×C11×C4⋊C4—21no—
66C2×C11×C4⋊C4—42no—
67C2×C11×C4⋊C4—42no—
68C2×C11×C4⋊C4C2×C412yes—
69C2×C11×C4⋊C4C2×C412yes—
70C2×C11×C4⋊C4D412yes—
71C2×C11×C4⋊C4D412yes—
72C2×C11×C4⋊C4Q812yes—
73C2×C11×C4⋊C4Q812yes—
74C2×C42×C11—21no—
75C2×C42×C11—21no—
76C2×C42×C11—21no—
77C2×C42×C11—21no—
78C2×C42×C11—21no—
79C2×C42×C11—21no—
80C11×#95—24no—
81C11×#95—42no—
82C11×#95—42no—
83#11292C1111yesmaximal, characteristic, direct product factor, Sylow
84C24×C11C2×D411yescharacteristic
85C22×C4×C11—22no—
86C22×C4×C11—21no—
87C22×C4×C11—22no—
88C22×C4×C11—21no—
89C22×C4×C11—21no—
90C22×C4×C11—21no—
91C22×C4×C11—22no—
92C22×C4×C11—21no—
93C22×C4×C11—21no—
94C22×C4×C11—21no—
95C22×C4×C11—21no—
96C22×C4×C11—21no—
97C22×C4×C11—21no—
98C22×C4×C11—21no—
99C22×C4×C11—21no—
100C22×C4×C11—22no—
101C22×C4×C11—22no—
102C22×C4×C11—22no—
103C22×C4×C11—41no—
104C22×C4×C11—41no—
105C22×C4×C11—41no—
106C22×C4×C11—41no—
107C22×C4×C11—41no—
108C22×C4×C11—41no—
109C22×C4×C11—41no—
110C22×C4×C11—41no—
111C22×C4×C11—41no—
112C22×C4×C11—41no—
113C22×C4×C11—41no—
114C22×C4×C11—41no—
115C22×C4×C11—41no—
116C22×C4×C11—41no—
117C22×C4×C11—41no—
118C22×C4×C11—41no—
119C22×C4×C11—41no—
120C22×C4×C11—41no—
121C22×C4×C11—41no—
122C22×C4×C11—41no—
123C22×C4×C11—41no—
124C22×C4×C11—41no—
125C22×C4×C11D812yes—
126C22×C4×C11SD1612yes—
127C22×C4×C11C22×C411yescharacteristic
128C22×C4×C11C2×D411yescharacteristic
129C22×C4×C11C2×D411yescharacteristic
130C22×C4×C11C2×D411yescharacteristic
131C22×C4×C11C2×Q811yescharacteristic
132C22×C4×C11C2×Q811yescharacteristic
133C22×C4×C11#4111yescharacteristic
134C22×C4×C11#4111yescharacteristic
135C22×C4×C11#4111yescharacteristic
136C22×C4×C11#4111yescharacteristic
137C22×C4×C11#4111yescharacteristic
138C22×C4×C11#4111yescharacteristic
139C22×C4×C11#4111yescharacteristic
140C22×C4×C11#4111yescharacteristic
141C2×C8×C11—22no—
142C2×C8×C11—22no—
143C2×C8×C11—22no—
144C2×C8×C11—22no—
145C2×C8×C11—22no—
146C2×C8×C11—22no—
147C2×C8×C11—41no—
148C2×C8×C11—41no—
149C2×C8×C11—41no—
150C2×C8×C11—41no—
151C2×C8×C11—41no—
152C2×C8×C11—41no—
153C2×C8×C11—41no—
154C2×C8×C11—41no—
155C11×C4⋊C4—22no—
156C11×C4⋊C4—22no—
157C11×C4⋊C4—22no—
158C11×C4⋊C4—22no—
159C11×C4⋊C4—22no—
160C11×C4⋊C4—22no—
161C11×C4⋊C4—22no—
162C11×C4⋊C4—22no—
163C11×C4⋊C4—22no—
164C11×C4⋊C4—48no—
165C11×C4⋊C4—41no—
166C11×C4⋊C4—41no—
167C11×C4⋊C4—41no—
168C11×C4⋊C4—41no—
169C11×C4⋊C4—41no—
170C11×C4⋊C4—41no—
171C11×C4⋊C4C4⋊C414yes—
172C42×C11—41no—
173C42×C11—41no—
174C42×C11—41no—
175C42×C11—41no—
176C2×#389C2×C1111yescharacteristic
177C2×#340C2×C1111yescharacteristic
178C2×#340C2×C1111yescharacteristic
179C2×#340C2×C1111yescharacteristic
180C2×#340C2×C1111yescharacteristic
181C2×#336C2×C1111yescharacteristic
182C4⋊#95C2×C1111yescharacteristic
183C23×C11C4×D411yescharacteristic
184C23×C11#12011yescharacteristic
185C23×C11#12111yescharacteristic
186C23×C11C22⋊Q811yescharacteristic
187C23×C11C22⋊Q811yescharacteristic
188C23×C11#12311yescharacteristic
189C23×C11#12411yescharacteristic
190C23×C11C2×D811yescharacteristic
191C23×C11C2×SD1611yescharacteristic
192C23×C11#13511yescharacteristic
193C23×C11#13511yescharacteristic
194C23×C11AGL(1,ℤ/8)11yescharacteristic
195C23×C11#13711yescharacteristic
196C23×C11#13711yescharacteristic
197C23×C11#13711yescharacteristic
198C2×C4×C11—24no—
199C2×C4×C11—22no—
200C2×C4×C11—22no—
201C2×C4×C11—22no—
202C2×C4×C11—22no—
203C2×C4×C11—22no—
204C2×C4×C11—22no—
205C2×C4×C11—41no—
206C2×C4×C11—41no—
207C2×C4×C11—42no—
208C2×C4×C11—42no—
209C2×C4×C11—42no—
210C2×C4×C11—41no—
211C2×C4×C11—41no—
212C2×C4×C11—42no—
213C2×C4×C11—41no—
214C2×C4×C11—41no—
215C2×C4×C11—42no—
216C2×C4×C11—42no—
217C2×C4×C11—41no—
218C2×C4×C11—41no—
219C2×C4×C11—42no—
220C2×C4×C11—42no—
221C2×C4×C11—42no—
222C2×C4×C11—42no—
223C2×C4×C11—42no—
224C2×C4×C11—42no—
225C2×C4×C11—42no—
226C2×C4×C11—42no—
227C2×C4×C11—42no—
228C2×C4×C11—81no—
229C2×C4×C11—81no—
230C2×C4×C11—81no—
231C2×C4×C11—81no—
232C2×C4×C11—81no—
233C2×C4×C11—81no—
234C2×C4×C11—81no—
235C2×C4×C11—81no—
236C2×C4×C11—81no—
237C2×C4×C11—81no—
238C2×C4×C11—81no—
239C2×C4×C11—81no—
240C2×C4×C11C2×C4⋊C411yescharacteristic
241C2×C4×C11#11711yescharacteristic
242C2×C4×C11#11711yescharacteristic
243C2×C4×C11C4×D411yescharacteristic
244C2×C4×C11C4×D411yescharacteristic
245C2×C4×C11C4×Q811yescharacteristic
246C2×C4×C11#12111yescharacteristic
247C2×C4×C11#12111yescharacteristic
248C2×C4×C11C22⋊Q811yescharacteristic
249C2×C4×C11C22⋊Q811yescharacteristic
250C2×C4×C11C22⋊Q811yescharacteristic
251C2×C4×C11#12311yescharacteristic
252C2×C4×C11#12311yescharacteristic
253C2×C4×C11#12311yescharacteristic
254C2×C4×C11#12311yescharacteristic
255C2×C4×C11#12411yescharacteristic
256C2×C4×C11#12411yescharacteristic
257C2×C4×C11#12411yescharacteristic
258C2×C4×C11#12511yescharacteristic
259C2×C4×C11#12511yescharacteristic
260C2×C4×C11#12511yescharacteristic
261C2×C4×C11#12511yescharacteristic
262C2×C4×C11#12511yescharacteristic
263C2×C4×C11#12611yescharacteristic
264C2×C4×C11#12611yescharacteristic
265C2×C4×C11#12611yescharacteristic
266C2×C4×C11#12611yescharacteristic
267C2×C4×C11C4⋊Q811yescharacteristic
268C8×C11—42no—
269C8×C11—42no—
270C23×C8C22×C1111yescharacteristic
271C23×C8C22×C1111yescharacteristic
272C22×C4⋊C4—21no—
273C22×C4⋊C4C22×C1111yescharacteristic
274C22×C4⋊C4C22×C1111yescharacteristic
275C22×C4⋊C4C22×C1111yescharacteristic
276C22×C4⋊C4C22×C1111yescharacteristic
277C22×C42C22×C1111yescharacteristic
278#389—22no—
279#389—22no—
280C2×#95—21no—
281C2×#95—21no—
282C2×#95—21no—
283#340—22no—
284#340—22no—
285#340—22no—
286#340C4×C1114yescomplemented
287#336—22no—
288C22×C11#38511yescharacteristic
289C22×C11#38711yescharacteristic
290C22×C11#38811yescharacteristic
291C22×C11#39311yescharacteristic
292C22×C11#39411yescharacteristic
293C22×C11#39811yescharacteristic
294C22×C11#40011yescharacteristic
295C22×C11C4×D811yescharacteristic
296C22×C11C4×SD1611yescharacteristic
297C22×C11#44011yescharacteristic
298C22×C11#44111yescharacteristic
299C22×C11#44711yescharacteristic
300C22×C11#44811yescharacteristic
301C22×C11#45211yescharacteristic
302C22×C11#45211yescharacteristic
303C22×C11#46511yescharacteristic
304C22×C11#46611yescharacteristic
305C22×C11#46811yescharacteristic
306C22×C11#47011yescharacteristic
307C22×C11#47411yescharacteristic
308C22×C11#47411yescharacteristic
309C22×C11#47511yescharacteristic
310C22×C11#47611yescharacteristic
311C22×C11#47811yescharacteristic
312C22×C11#47911yescharacteristic
313C22×C11#47911yescharacteristic
314C22×C11#47911yescharacteristic
315C22×C11#48011yescharacteristic
316C22×C11#48211yescharacteristic
317C22×C11#48311yescharacteristic
318C22×C11#48511yescharacteristic
319C22×C11#48611yescharacteristic
320C22×C11#48811yescharacteristic
321C22×C11#48911yescharacteristic
322C22×C11#49111yescharacteristic
323C4×C11—44no—
324C4×C11—42no—
325C4×C11—42no—
326C4×C11—82no—
327C4×C11—82no—
328C4×C11—82no—
329C4×C11#38211yescharacteristic
330C4×C11#38711yescharacteristic
331C4×C11#38811yescharacteristic
332C4×C11#38911yescharacteristic
333C4×C11#39711yescharacteristic
334C4×C11#39811yescharacteristic
335C4×C11#40011yescharacteristic
336C4×C11#40011yescharacteristic
337C23×C4—21no—
338C23×C4—21no—
339C23×C4—21no—
340C23×C4—21no—
341C23×C4D4×C1111yescharacteristic
342C23×C4D4×C1111yescharacteristic
343C23×C4C23×C1111yescharacteristic
344C22×C8—21no—
345C22×C8—21no—
346C22×C8—21no—
347C22×C8—21no—
348C22×C8—21no—
349C22×C8—21no—
350C22×C8—21no—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—21no—
354C22×C8—21no—
355C22×C8—21no—
356C22×C8C2×C4×C1112yes—
357C22×C8D4×C1112yes—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—24no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—42no—
378C2×C4⋊C4—42no—
379C2×C4⋊C4C2×C4×C1112yes—
380C2×C4⋊C4C2×C4×C1112yes—
381C2×C4⋊C4D4×C1112yes—
382C2×C4⋊C4D4×C1112yes—
383C2×C4⋊C4Q8×C1112yes—
384C2×C4⋊C4Q8×C1112yes—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391#95—24no—
392#95—42no—
393#95—42no—
394C2×C11#144211yescharacteristic
395C2×C11#186211yescharacteristic
396C2×C11#186511yescharacteristic
397C2×C11#191811yescharacteristic
398C2×C11#192011yescharacteristic
399C2×C11#193411yescharacteristic
400C2×C11#193511yescharacteristic
401C2×C11#202311yescharacteristic
402C2×C11#202611yescharacteristic
403C2×C11#203311yescharacteristic
404C2×C11#203511yescharacteristic
405C2×C11#208611yescharacteristic
406C2×C11#208811yescharacteristic
407C2×C11#209911yescharacteristic
408C2×C11#210111yescharacteristic
409C24C2×D4×C1111yescharacteristic
410C22×C4—22no—
411C22×C4—21no—
412C22×C4—22no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—22no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4C11×D812yes—
451C22×C4C11×SD1612yes—
452C22×C4C22×C4×C1111yescharacteristic
453C22×C4C2×D4×C1111yescharacteristic
454C22×C4C2×D4×C1111yescharacteristic
455C22×C4C2×D4×C1111yescharacteristic
456C22×C4C2×Q8×C1111yescharacteristic
457C22×C4C2×Q8×C1111yescharacteristic
458C22×C4C11×#4111yescharacteristic
459C22×C4C11×#4111yescharacteristic
460C22×C4C11×#4111yescharacteristic
461C22×C4C11×#4111yescharacteristic
462C22×C4C11×#4111yescharacteristic
463C22×C4C11×#4111yescharacteristic
464C22×C4C11×#4111yescharacteristic
465C22×C4C11×#4111yescharacteristic
466C2×C8—22no—
467C2×C8—22no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—48no—
490C4⋊C4—41no—
491C4⋊C4—41no—
492C4⋊C4—41no—
493C4⋊C4—41no—
494C4⋊C4—41no—
495C4⋊C4—41no—
496C4⋊C4C11×C4⋊C414yes—
497C42—41no—
498C42—41no—
499C42—41no—
500C42—41no—
501C11#1129211yescharacteristic, direct product factor, Sylow
502C23C4×D4×C1111yescharacteristic
503C23C11×#12011yescharacteristic
504C23C11×#12111yescharacteristic
505C23C11×C22⋊Q811yescharacteristic
506C23C11×C22⋊Q811yescharacteristic
507C23C11×#12311yescharacteristic
508C23C11×#12411yescharacteristic
509C23C2×C11×D811yescharacteristic
510C23C2×C11×SD1611yescharacteristic
511C23C11×#13511yescharacteristic
512C23C11×#13511yescharacteristic
513C23C11×AGL(1,ℤ/8)11yescharacteristic
514C23C11×#13711yescharacteristic
515C23C11×#13711yescharacteristic
516C23C11×#13711yescharacteristic
517C2×C4—24no—
518C2×C4—22no—
519C2×C4—22no—
520C2×C4—22no—
521C2×C4—22no—
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—42no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—41no—
530C2×C4—41no—
531C2×C4—42no—
532C2×C4—41no—
533C2×C4—41no—
534C2×C4—42no—
535C2×C4—42no—
536C2×C4—41no—
537C2×C4—41no—
538C2×C4—42no—
539C2×C4—42no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—42no—
543C2×C4—42no—
544C2×C4—42no—
545C2×C4—42no—
546C2×C4—42no—
547C2×C4—81no—
548C2×C4—81no—
549C2×C4—81no—
550C2×C4—81no—
551C2×C4—81no—
552C2×C4—81no—
553C2×C4—81no—
554C2×C4—81no—
555C2×C4—81no—
556C2×C4—81no—
557C2×C4—81no—
558C2×C4—81no—
559C2×C4C2×C11×C4⋊C411yescharacteristic
560C2×C4C11×#11711yescharacteristic
561C2×C4C11×#11711yescharacteristic
562C2×C4C4×D4×C1111yescharacteristic
563C2×C4C4×D4×C1111yescharacteristic
564C2×C4C4×Q8×C1111yescharacteristic
565C2×C4C11×#12111yescharacteristic
566C2×C4C11×#12111yescharacteristic
567C2×C4C11×C22⋊Q811yescharacteristic
568C2×C4C11×C22⋊Q811yescharacteristic
569C2×C4C11×C22⋊Q811yescharacteristic
570C2×C4C11×#12311yescharacteristic
571C2×C4C11×#12311yescharacteristic
572C2×C4C11×#12311yescharacteristic
573C2×C4C11×#12311yescharacteristic
574C2×C4C11×#12411yescharacteristic
575C2×C4C11×#12411yescharacteristic
576C2×C4C11×#12411yescharacteristic
577C2×C4C11×#12511yescharacteristic
578C2×C4C11×#12511yescharacteristic
579C2×C4C11×#12511yescharacteristic
580C2×C4C11×#12511yescharacteristic
581C2×C4C11×#12511yescharacteristic
582C2×C4C11×#12611yescharacteristic
583C2×C4C11×#12611yescharacteristic
584C2×C4C11×#12611yescharacteristic
585C2×C4C11×#12611yescharacteristic
586C2×C4C11×C4⋊Q811yescharacteristic
587C8—42no—
588C8—42no—
589C22C11×#38511yescharacteristic
590C22C11×#38711yescharacteristic
591C22C11×#38811yescharacteristic
592C22C11×#39311yescharacteristic
593C22C11×#39411yescharacteristic
594C22C11×#39811yescharacteristic
595C22C11×#40011yescharacteristic
596C22C4×C11×D811yescharacteristic
597C22C4×C11×SD1611yescharacteristic
598C22C11×#44011yescharacteristic
599C22C11×#44111yescharacteristic
600C22C11×#44711yescharacteristic
601C22C11×#44811yescharacteristic
602C22C11×#45211yescharacteristic
603C22C11×#45211yescharacteristic
604C22C11×#46511yescharacteristic
605C22C11×#46611yescharacteristic
606C22C11×#46811yescharacteristic
607C22C11×#47011yescharacteristic
608C22C11×#47411yescharacteristic
609C22C11×#47411yescharacteristic
610C22C11×#47511yescharacteristic
611C22C11×#47611yescharacteristic
612C22C11×#47811yescharacteristic
613C22C11×#47911yescharacteristic
614C22C11×#47911yescharacteristic
615C22C11×#47911yescharacteristic
616C22C11×#48011yescharacteristic
617C22C11×#48211yescharacteristic
618C22C11×#48311yescharacteristic
619C22C11×#48511yescharacteristic
620C22C11×#48611yescharacteristic
621C22C11×#48811yescharacteristic
622C22C11×#48911yescharacteristic
623C22C11×#49111yescharacteristic
624C4—42no—
625C4—42no—
626C4—44no—
627C4—82no—
628C4—82no—
629C4—82no—
630C4C11×#38211yescharacteristic
631C4C11×#38711yescharacteristic
632C4C11×#38811yescharacteristic
633C4C11×#38911yescharacteristic
634C4C11×#39711yescharacteristic
635C4C11×#39811yescharacteristic
636C4C11×#40011yescharacteristic
637C4C11×#40011yescharacteristic
638C2C11×#144211yescharacteristic
639C2C11×#186211yescharacteristic
640C2C11×#186511yescharacteristic
641C2C11×#191811yescharacteristic
642C2C11×#192011yescharacteristic
643C2C11×#193411yescharacteristic
644C2C11×#193511yescharacteristic
645C2C11×#202311yescharacteristic
646C2C11×#202611yescharacteristic
647C2C11×#203311yescharacteristic
648C2C11×#203511yescharacteristic
649C2C11×#208611yescharacteristic
650C2C11×#208811yescharacteristic
651C2C11×#209911yescharacteristic
652C2C11×#210111yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C11C2×D4
commutatorC22×C4C22×C4×C11
Frattini, cosocleC23×C4C23×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24×C11 ◁ C22×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
24. C11×#340C4semidirect
83. #11292C11direct (N × H)
286. #340C4×C11semidirect
501. C11#11292direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3892
C2×C11×#3402
C2×C11×#3362
C11×C4⋊#952
#1129211