Finite Group Databasebeta

← C11×#14042 #14591235

Subgroups — C11×#14042 #14591235

Order 2816.

1442 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#389C211yesmaximal, characteristic
2C2×C11×#387C212yesmaximal
3C2×C4×C11×C4⋊C4C211yesmaximal, characteristic
4C2×C4×C11×C4⋊C4C211yesmaximal, characteristic
5C11×#1443C212yesmaximal
6C11×#1441C212yesmaximal
7C11×C4⋊#95C211yesmaximal, characteristic
8C11×C4⋊#95C211yesmaximal, characteristic
9C11×C4⋊#95C211yesmaximal, characteristic
10C11×C4⋊#95C211yesmaximal, characteristic
11C11×#1434C212yesmaximal
12C22×C11×C4⋊C4C2211yescharacteristic
13C22×C11×C4⋊C4C2211yescharacteristic
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C11×C4⋊C4C2211yescharacteristic
16C22×C11×C4⋊C4C2212yes—
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C42×C11C2212yes—
20C22×C42×C11C2211yescharacteristic
21C22×C42×C11C2211yescharacteristic
22C22×C42×C11C2211yescharacteristic
23C11×#389C418yescomplemented
24C11×#387—28no—
25C4×C11×C4⋊C4—24no—
26C4×C11×C4⋊C4—24no—
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2212yes—
29C2×C11×#95C2212yes—
30C2×C11×#95C2212yes—
31C2×C11×#95C2212yes—
32C2×C11×#95C2212yes—
33C2×C11×#95C2212yes—
34C2×C11×#95C2211yescharacteristic
35C2×C11×#95C2212yes—
36C2×C11×#95C2212yes—
37C2×C11×#95C2212yes—
38C2×C11×#95C2212yes—
39C23×C4×C11C2312yes—
40C23×C4×C11C2311yescharacteristic
41C23×C4×C11C2312yes—
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2312yes—
46C23×C4×C11C2311yescharacteristic
47C23×C4×C11C2311yescharacteristic
48C23×C4×C11C2311yescharacteristic
49C23×C4×C11C2311yescharacteristic
50C2×C11×C4⋊C4—22no—
51C2×C11×C4⋊C4—22no—
52C2×C11×C4⋊C4—22no—
53C2×C11×C4⋊C4—22no—
54C2×C11×C4⋊C4—24no—
55C2×C11×C4⋊C4—22no—
56C2×C11×C4⋊C4—22no—
57C2×C11×C4⋊C4—22no—
58C2×C11×C4⋊C4—22no—
59C2×C11×C4⋊C4—24no—
60C2×C11×C4⋊C4—22no—
61C2×C11×C4⋊C4—22no—
62C2×C11×C4⋊C4—22no—
63C2×C11×C4⋊C4—22no—
64C2×C11×C4⋊C4—22no—
65C2×C11×C4⋊C4—22no—
66C2×C11×C4⋊C4C2×C414yes—
67C2×C11×C4⋊C4C2×C418yes—
68C2×C11×C4⋊C4C2×C414yes—
69C2×C11×C4⋊C4D414yes—
70C2×C11×C4⋊C4Q814yes—
71C2×C42×C11—22no—
72C2×C42×C11—22no—
73C2×C42×C11—22no—
74C2×C42×C11—22no—
75C2×C42×C11—24no—
76C2×C42×C11—22no—
77C2×C42×C11—24no—
78C2×C42×C11—24no—
79C2×C42×C11—22no—
80C2×C42×C11—22no—
81C2×C42×C11C2×C414yes—
82C2×C42×C11D414yes—
83C11×#95—22no—
84C11×#95—22no—
85C11×#95—24no—
86C11×#95—24no—
87C11×#95—24no—
88C11×#95—24no—
89C11×#95—24no—
90C11×#95—24no—
91C11×#95—42no—
92C11×#95—42no—
93C11×#95—42no—
94C11×#95C2×C418yes—
95#14042C1111yesmaximal, characteristic, direct product factor, Sylow
96C24×C11C2411yescharacteristic
97C22×C4×C11—21no—
98C22×C4×C11—21no—
99C22×C4×C11—21no—
100C22×C4×C11—21no—
101C22×C4×C11—21no—
102C22×C4×C11—21no—
103C22×C4×C11—21no—
104C22×C4×C11—21no—
105C22×C4×C11—21no—
106C22×C4×C11—22no—
107C22×C4×C11—22no—
108C22×C4×C11—22no—
109C22×C4×C11—22no—
110C22×C4×C11—21no—
111C22×C4×C11—22no—
112C22×C4×C11—21no—
113C22×C4×C11—22no—
114C22×C4×C11—21no—
115C22×C4×C11—22no—
116C22×C4×C11—21no—
117C22×C4×C11—21no—
118C22×C4×C11—21no—
119C22×C4×C11—21no—
120C22×C4×C11—21no—
121C22×C4×C11—21no—
122C22×C4×C11—22no—
123C22×C4×C11—22no—
124C22×C4×C11—22no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—21no—
129C22×C4×C11—22no—
130C22×C4×C11—21no—
131C22×C4×C11—21no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—22no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—22no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—22no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—22no—
146C22×C4×C11—21no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—22no—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C22×C414yes—
156C22×C4×C11C22×C414yes—
157C22×C4×C11C22×C412yes—
158C22×C4×C11C22×C412yes—
159C22×C4×C11C2×D412yes—
160C22×C4×C11C2×D412yes—
161C22×C4×C11C2×D412yes—
162C22×C4×C11C2×D412yes—
163C22×C4×C11C2×D412yes—
164C22×C4×C11C2×D412yes—
165C22×C4×C11C2×Q814yes—
166C22×C4×C11C2×Q812yes—
167C22×C4×C11#4112yes—
168C22×C4×C11#4112yes—
169C22×C4×C11#4112yes—
170C22×C4×C11#4112yes—
171C22×C4×C11#4112yes—
172C22×C4×C11#4112yes—
173C22×C4×C11#4112yes—
174C11×C4⋊C4—28no—
175C11×C4⋊C4—28no—
176C11×C4⋊C4—216no—
177C11×C4⋊C4—28no—
178C11×C4⋊C4—28no—
179C11×C4⋊C4—28no—
180C11×C4⋊C4—44no—
181C42×C11—28no—
182C42×C11—28no—
183C42×C11—48no—
184C42×C11—44no—
185C2×#389C2×C1111yescharacteristic
186C2×#387C2×C1112yes—
187C2×C4×C4⋊C4C2×C1111yescharacteristic
188C2×C4×C4⋊C4C2×C1111yescharacteristic
189#1443C2×C1112yes—
190#1441C2×C1112yes—
191C4⋊#95C2×C1111yescharacteristic
192C4⋊#95C2×C1111yescharacteristic
193C4⋊#95C2×C1111yescharacteristic
194C4⋊#95C2×C1111yescharacteristic
195#1434C2×C1112yes—
196C23×C11C23×C411yescharacteristic
197C23×C11C22×D411yescharacteristic
198C23×C11C22×D411yescharacteristic
199C23×C11C22×Q811yescharacteristic
200C23×C11C2×#4111yescharacteristic
201C23×C11C2×#4111yescharacteristic
202C23×C11C2×#4111yescharacteristic
203C23×C11C2×#4111yescharacteristic
204C23×C11C2×#4111yescharacteristic
205C23×C11C2×#4111yescharacteristic
206C23×C11C2×#4111yescharacteristic
207C23×C11H(5,𝔽2)11yescharacteristic
208C23×C112−1+411yescharacteristic
209C23×C112−1+411yescharacteristic
210C23×C112−1+411yescharacteristic
211C2×C4×C11—22no—
212C2×C4×C11—22no—
213C2×C4×C11—22no—
214C2×C4×C11—22no—
215C2×C4×C11—22no—
216C2×C4×C11—22no—
217C2×C4×C11—22no—
218C2×C4×C11—22no—
219C2×C4×C11—22no—
220C2×C4×C11—22no—
221C2×C4×C11—22no—
222C2×C4×C11—22no—
223C2×C4×C11—24no—
224C2×C4×C11—22no—
225C2×C4×C11—24no—
226C2×C4×C11—24no—
227C2×C4×C11—24no—
228C2×C4×C11—24no—
229C2×C4×C11—22no—
230C2×C4×C11—22no—
231C2×C4×C11—24no—
232C2×C4×C11—22no—
233C2×C4×C11—24no—
234C2×C4×C11—22no—
235C2×C4×C11—22no—
236C2×C4×C11—22no—
237C2×C4×C11—22no—
238C2×C4×C11—22no—
239C2×C4×C11—22no—
240C2×C4×C11—24no—
241C2×C4×C11—22no—
242C2×C4×C11—22no—
243C2×C4×C11—24no—
244C2×C4×C11—42no—
245C2×C4×C11—42no—
246C2×C4×C11—41no—
247C2×C4×C11—41no—
248C2×C4×C11—42no—
249C2×C4×C11—42no—
250C2×C4×C11—42no—
251C2×C4×C11—41no—
252C2×C4×C11—41no—
253C2×C4×C11—41no—
254C2×C4×C11—41no—
255C2×C4×C11—42no—
256C2×C4×C11—41no—
257C2×C4×C11—41no—
258C2×C4×C11—42no—
259C2×C4×C11—42no—
260C2×C4×C11—42no—
261C2×C4×C11—41no—
262C2×C4×C11—41no—
263C2×C4×C11—41no—
264C2×C4×C11—41no—
265C2×C4×C11—42no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—42no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11#11714yes—
280C2×C4×C11C4×D414yes—
281C2×C4×C11C4×D414yes—
282C2×C4×C11C4×Q814yes—
283C2×C4×C11#12114yes—
284C2×C4×C11C22⋊Q814yes—
285C2×C4×C11#12314yes—
286C2×C4×C11#12514yes—
287C2×C4×C11#12614yes—
288C22×C4⋊C4C22×C1111yescharacteristic
289C22×C4⋊C4C22×C1111yescharacteristic
290C22×C4⋊C4C22×C1111yescharacteristic
291C22×C4⋊C4C22×C1111yescharacteristic
292C22×C4⋊C4C22×C1112yes—
293C22×C4⋊C4C22×C1111yescharacteristic
294C22×C4⋊C4C22×C1111yescharacteristic
295C22×C42C22×C1112yes—
296C22×C42C22×C1111yescharacteristic
297C22×C42C22×C1111yescharacteristic
298C22×C42C22×C1111yescharacteristic
299#389C4×C1118yescomplemented
300#387—28no—
301C4×C4⋊C4—24no—
302C4×C4⋊C4—24no—
303C2×#95C22×C1111yescharacteristic
304C2×#95C22×C1112yes—
305C2×#95C22×C1112yes—
306C2×#95C22×C1112yes—
307C2×#95C22×C1112yes—
308C2×#95C22×C1112yes—
309C2×#95C22×C1112yes—
310C2×#95C22×C1111yescharacteristic
311C2×#95C22×C1112yes—
312C2×#95C22×C1112yes—
313C2×#95C22×C1112yes—
314C2×#95C22×C1112yes—
315C22×C11C2×#11711yescharacteristic
316C22×C11C2×C4×D411yescharacteristic
317C22×C11C2×C4×D411yescharacteristic
318C22×C11C2×C4×Q811yescharacteristic
319C22×C11C4×#4111yescharacteristic
320C22×C11#51911yescharacteristic
321C22×C11#52011yescharacteristic
322C22×C11C2×#12111yescharacteristic
323C22×C11C2×C22⋊Q811yescharacteristic
324C22×C11C2×#12311yescharacteristic
325C22×C11#52511yescharacteristic
326C22×C11C2×#12511yescharacteristic
327C22×C11C2×#12611yescharacteristic
328C22×C11#52911yescharacteristic
329C22×C11#53211yescharacteristic
330C22×C11#53611yescharacteristic
331C22×C11#53711yescharacteristic
332C22×C11#54111yescharacteristic
333C22×C11#54211yescharacteristic
334C22×C11#54711yescharacteristic
335C22×C11#54711yescharacteristic
336C22×C11D4×Q811yescharacteristic
337C22×C11#55011yescharacteristic
338C22×C11#55211yescharacteristic
339C22×C11#55211yescharacteristic
340C22×C11#55211yescharacteristic
341C22×C11#55311yescharacteristic
342C22×C11#55411yescharacteristic
343C22×C11#55511yescharacteristic
344C22×C11#55611yescharacteristic
345C22×C11#55611yescharacteristic
346C22×C11#55611yescharacteristic
347C22×C11#55611yescharacteristic
348C22×C11#55711yescharacteristic
349C22×C11#55711yescharacteristic
350C4×C11—24no—
351C4×C11—24no—
352C4×C11—42no—
353C4×C11—44no—
354C4×C11—42no—
355C4×C11—42no—
356C4×C11—42no—
357C4×C11—44no—
358C4×C11—44no—
359C4×C11—82no—
360C4×C11#38718yescomplemented
361C23×C4C23×C1112yes—
362C23×C4C23×C1112yes—
363C23×C4C23×C1112yes—
364C23×C4C23×C1111yescharacteristic
365C23×C4C23×C1111yescharacteristic
366C23×C4C23×C1111yescharacteristic
367C23×C4C23×C1112yes—
368C23×C4C23×C1111yescharacteristic
369C23×C4C23×C1111yescharacteristic
370C23×C4C23×C1111yescharacteristic
371C23×C4C23×C1111yescharacteristic
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—24no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—24no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4C2×C4×C1114yes—
389C2×C4⋊C4C2×C4×C1118yes—
390C2×C4⋊C4C2×C4×C1114yes—
391C2×C4⋊C4D4×C1114yes—
392C2×C4⋊C4Q8×C1114yes—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—24no—
398C2×C42—22no—
399C2×C42—24no—
400C2×C42—24no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42C2×C4×C1114yes—
404C2×C42D4×C1114yes—
405#95—22no—
406#95—22no—
407#95—24no—
408#95—24no—
409#95—24no—
410#95—24no—
411#95—24no—
412#95—24no—
413#95—42no—
414#95—42no—
415#95—42no—
416#95C2×C4×C1118yes—
417C2×C11C2×#38711yescharacteristic
418C2×C11C4×#12111yescharacteristic
419C2×C11#232311yescharacteristic
420C2×C11#235411yescharacteristic
421C2×C11#235611yescharacteristic
422C2×C11#236511yescharacteristic
423C2×C11#237011yescharacteristic
424C2×C11#248511yescharacteristic
425C2×C11#248611yescharacteristic
426C2×C11#250611yescharacteristic
427C2×C11#250811yescharacteristic
428C2×C11#251211yescharacteristic
429C2×C11#251411yescharacteristic
430C2×C11#253811yescharacteristic
431C2×C11#258111yescharacteristic
432C24C24×C1111yescharacteristic
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4C22×C4×C1112yes—
491C22×C4C22×C4×C1114yes—
492C22×C4C22×C4×C1114yes—
493C22×C4C22×C4×C1112yes—
494C22×C4C22×C4×C1112yes—
495C22×C4C2×D4×C1112yes—
496C22×C4C2×D4×C1112yes—
497C22×C4C2×D4×C1112yes—
498C22×C4C2×D4×C1112yes—
499C22×C4C2×D4×C1112yes—
500C22×C4C2×D4×C1112yes—
501C22×C4C2×Q8×C1114yes—
502C22×C4C2×Q8×C1112yes—
503C22×C4C11×#4112yes—
504C22×C4C11×#4112yes—
505C22×C4C11×#4112yes—
506C22×C4C11×#4112yes—
507C22×C4C11×#4112yes—
508C22×C4C11×#4112yes—
509C22×C4C11×#4112yes—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—216no—
513C4⋊C4—28no—
514C4⋊C4—28no—
515C4⋊C4—28no—
516C4⋊C4—44no—
517C42—28no—
518C42—28no—
519C42—48no—
520C42—44no—
521C11#1404211yescharacteristic, direct product factor, Sylow
522C23C23×C4×C1111yescharacteristic
523C23C22×D4×C1111yescharacteristic
524C23C22×D4×C1111yescharacteristic
525C23C22×Q8×C1111yescharacteristic
526C23C2×C11×#4111yescharacteristic
527C23C2×C11×#4111yescharacteristic
528C23C2×C11×#4111yescharacteristic
529C23C2×C11×#4111yescharacteristic
530C23C2×C11×#4111yescharacteristic
531C23C2×C11×#4111yescharacteristic
532C23C2×C11×#4111yescharacteristic
533C23C11×H(5,𝔽2)11yescharacteristic
534C23C11×2−1+411yescharacteristic
535C23C11×2−1+411yescharacteristic
536C23C11×2−1+411yescharacteristic
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—24no—
550C2×C4—22no—
551C2×C4—24no—
552C2×C4—24no—
553C2×C4—24no—
554C2×C4—24no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—22no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—24no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—24no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—42no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—42no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4C11×#11714yes—
606C2×C4C4×D4×C1114yes—
607C2×C4C4×D4×C1114yes—
608C2×C4C4×Q8×C1114yes—
609C2×C4C11×#12114yes—
610C2×C4C11×C22⋊Q814yes—
611C2×C4C11×#12314yes—
612C2×C4C11×#12514yes—
613C2×C4C11×#12614yes—
614C22C2×C11×#11711yescharacteristic
615C22C2×C4×D4×C1111yescharacteristic
616C22C2×C4×D4×C1111yescharacteristic
617C22C2×C4×Q8×C1111yescharacteristic
618C22C4×C11×#4111yescharacteristic
619C22C11×#51911yescharacteristic
620C22C11×#52011yescharacteristic
621C22C2×C11×#12111yescharacteristic
622C22C2×C11×C22⋊Q811yescharacteristic
623C22C2×C11×#12311yescharacteristic
624C22C11×#52511yescharacteristic
625C22C2×C11×#12511yescharacteristic
626C22C2×C11×#12611yescharacteristic
627C22C11×#52911yescharacteristic
628C22C11×#53211yescharacteristic
629C22C11×#53611yescharacteristic
630C22C11×#53711yescharacteristic
631C22C11×#54111yescharacteristic
632C22C11×#54211yescharacteristic
633C22C11×#54711yescharacteristic
634C22C11×#54711yescharacteristic
635C22D4×Q8×C1111yescharacteristic
636C22C11×#55011yescharacteristic
637C22C11×#55211yescharacteristic
638C22C11×#55211yescharacteristic
639C22C11×#55211yescharacteristic
640C22C11×#55311yescharacteristic
641C22C11×#55411yescharacteristic
642C22C11×#55511yescharacteristic
643C22C11×#55611yescharacteristic
644C22C11×#55611yescharacteristic
645C22C11×#55611yescharacteristic
646C22C11×#55611yescharacteristic
647C22C11×#55711yescharacteristic
648C22C11×#55711yescharacteristic
649C4—24no—
650C4—24no—
651C4—42no—
652C4—42no—
653C4—42no—
654C4—44no—
655C4—44no—
656C4—42no—
657C4—44no—
658C4—82no—
659C4C11×#38718yescomplemented
660C2C2×C11×#38711yescharacteristic
661C2C4×C11×#12111yescharacteristic
662C2C11×#232311yescharacteristic
663C2C11×#235411yescharacteristic
664C2C11×#235611yescharacteristic
665C2C11×#236511yescharacteristic
666C2C11×#237011yescharacteristic
667C2C11×#248511yescharacteristic
668C2C11×#248611yescharacteristic
669C2C11×#250611yescharacteristic
670C2C11×#250811yescharacteristic
671C2C11×#251211yescharacteristic
672C2C11×#251411yescharacteristic
673C2C11×#253811yescharacteristic
674C2C11×#258111yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC24C24×C11
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
23. C11×#389C4semidirect
95. #14042C11direct (N × H)
299. #389C4×C11semidirect
360. C4×C11#387semidirect
521. C11#14042direct (N × H)
659. C4C11×#387semidirect

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×#3872
C2×C4×C11×C4⋊C42
C11×#14432
C11×#14412
C11×C4⋊#952
C11×#14342
#1404211