Finite Group Databasebeta

← C11×#24636 #14601829

Subgroups — C11×#24636 #14601829

Order 2816.

888 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#463C211yesmaximal, characteristic
2C2×C4×C11×SD16C211yesmaximal, characteristic, complemented
3C11×#2545C211yesmaximal, characteristic, complemented
4C11×#2357C211yesmaximal, characteristic, complemented
5C11×#2055C211yesmaximal, characteristic, complemented
6C11×#2054C211yesmaximal, characteristic
7C11×#2013C211yesmaximal, characteristic, complemented
8C11×#2012C211yesmaximal, characteristic
9C11×#1983C211yesmaximal, characteristic, complemented
10C11×#1981C211yesmaximal, characteristic, complemented
11C11×#1958C211yesmaximal, characteristic, complemented
12C11×#1939C211yesmaximal, characteristic, complemented
13C11×#1927C211yesmaximal, characteristic, complemented
14C11×#1926C211yesmaximal, characteristic, complemented
15C11×#1805C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C22×C11×D8C2211yescharacteristic
19C2×C11×C4⋊Q8C2211yescharacteristic
20C2×C11×#124C2211yescharacteristic
21C2×C11×#124C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×D4×C11C2211yescharacteristic
24C11×#463—24no—
25C4×C11×SD16—24no—
26C2×C11×#106C2211yescharacteristic
27C2×C11×C4⋊C8C2211yescharacteristic
28C2×C11×C4⋊C8C2211yescharacteristic
29C2×C11×C4⋊C8C2211yescharacteristic
30C2×C11×#103C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2211yescharacteristic
39C2×C11×#102C2211yescharacteristic
40C2×C4×C8×C11C2211yescharacteristic
41C11×#396—21no—
42C11×#396—21no—
43C11×#391C2211yescharacteristic
44C11×#390C2211yescharacteristic
45C11×#390C2211yescharacteristic
46C11×#390C2211yescharacteristic
47C11×#388—21no—
48C11×#388—21no—
49C11×#388—21no—
50C11×#388—21no—
51C11×#382C2211yescharacteristic
52C11×#381—21no—
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C4⋊C4C2211yescharacteristic
55C4×C11×C4⋊C4C2211yescharacteristic
56C4×C11×C22⋊C4—21no—
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#336C2211yescharacteristic
60C11×#336C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C2×C11×SD16—22no—
67C2×C11×SD16—22no—
68C2×C11×SD16—22no—
69C2×C11×SD16—22no—
70C2×C11×SD16—41no—
71C2×C11×SD16—41no—
72C2×C11×D8—22no—
73C2×C11×D8—41no—
74C2×C11×D8—41no—
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C11×C4⋊Q8—22no—
80C11×C4⋊Q8—41no—
81C11×#124—22no—
82C11×#124—22no—
83C11×#124—22no—
84C11×#124—41no—
85C4×Q8×C11—22no—
86C4×Q8×C11—22no—
87C4×D4×C11—22no—
88C4×D4×C11D414yes—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4D411yescharacteristic
93C2×C11×C4⋊C4D411yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C22⋊C4—21no—
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⋊C4—21no—
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—21no—
109C2×C42×C11—21no—
110C2×C42×C11—21no—
111C2×C42×C11—21no—
112C2×C42×C11C2311yescharacteristic
113C2×C42×C11C2311yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C11×#106—22no—
116C11×C4⋊C8—22no—
117C11×C4⋊C8—41no—
118C11×C4⋊C8—41no—
119C11×#103—22no—
120C11×#103—22no—
121C11×#103—22no—
122C11×#103—41no—
123C11×#103—41no—
124C11×#103—41no—
125C11×#102—22no—
126C11×#102—22no—
127C11×#102—22no—
128C11×#102—41no—
129C4×C8×C11—22no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133C11×#95—21no—
134C11×#95—21no—
135C11×#95—21no—
136C11×#95D411yescharacteristic
137C11×#95D411yescharacteristic
138#24636C1111yesmaximal, characteristic, direct product factor, Sylow
139C24×C11—21no—
140C24×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11#4112yes—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—21no—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C2×D4×C11C2×D412yes—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—24no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—81no—
173C22×C4×C11—81no—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2411yescharacteristic
181C11×SD16—28no—
182C11×SD16—44no—
183C11×D8—44no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11#4112yes—
196C11×C4⋊C4—22no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—41no—
205C11×C4⋊C4—42no—
206C11×C4⋊C4—42no—
207C11×C4⋊C4—42no—
208C11×C4⋊C4C2×D412yes—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—42no—
212C11×C22⋊C4—42no—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—42no—
215C11×C22⋊C4—42no—
216C11×C22⋊C4—42no—
217C11×C22⋊C4—42no—
218C11×C22⋊C4—81no—
219C11×C22⋊C4—81no—
220C42×C11—21no—
221C42×C11—21no—
222C42×C11—21no—
223C42×C11—21no—
224C42×C11—42no—
225C42×C11—81no—
226C42×C11—81no—
227C42×C11C2×D412yes—
228C42×C11#4112yes—
229C2×#463C2×C1111yescharacteristic
230C2×C4×SD16C2×C1111yescharacteristic, complemented
231#2545C2×C1111yescharacteristic, complemented
232#2357C2×C1111yescharacteristic, complemented
233#2055C2×C1111yescharacteristic, complemented
234#2054C2×C1111yescharacteristic
235#2013C2×C1111yescharacteristic, complemented
236#2012C2×C1111yescharacteristic
237#1983C2×C1111yescharacteristic, complemented
238#1981C2×C1111yescharacteristic, complemented
239#1958C2×C1111yescharacteristic, complemented
240#1939C2×C1111yescharacteristic, complemented
241#1927C2×C1111yescharacteristic, complemented
242#1926C2×C1111yescharacteristic, complemented
243#1805C2×C1111yescharacteristic, complemented
244C23×C11—22no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11C22×D411yescharacteristic
259Q8×C11—22no—
260Q8×C11—22no—
261Q8×C11—41no—
262Q8×C11—41no—
263Q8×C11—41no—
264Q8×C11—41no—
265Q8×C11—41no—
266Q8×C11—41no—
267D4×C11—22no—
268D4×C11—22no—
269D4×C11—41no—
270D4×C11—41no—
271D4×C11—41no—
272D4×C11—41no—
273D4×C11—41no—
274D4×C11—41no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—22no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—84no—
309C2×C4×C11#12112yes—
310C2×C4×C11#12112yes—
311C2×C4×C11#13512yes—
312C2×C4×C11C22×D411yescharacteristic
313C2×C4×C11C2×#4111yescharacteristic
314C2×C4×C11C2×#4111yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11H(5,𝔽2)11yescharacteristic
317C2×C4×C11H(5,𝔽2)11yescharacteristic
318C8×C11—22no—
319C8×C11—41no—
320C8×C11—41no—
321C8×C11—41no—
322C22×SD16C22×C1111yescharacteristic
323C22×SD16C22×C1111yescharacteristic
324C22×D8C22×C1111yescharacteristic
325C2×C4⋊Q8C22×C1111yescharacteristic
326C2×#124C22×C1111yescharacteristic
327C2×#124C22×C1111yescharacteristic
328C2×C4×Q8C22×C1111yescharacteristic
329C2×C4×D4C22×C1111yescharacteristic
330#463—24no—
331C4×SD16—24no—
332C2×#106C22×C1111yescharacteristic
333C2×C4⋊C8C22×C1111yescharacteristic
334C2×C4⋊C8C22×C1111yescharacteristic
335C2×C4⋊C8C22×C1111yescharacteristic
336C2×#103C22×C1111yescharacteristic
337C2×#103C22×C1111yescharacteristic
338C2×#103C22×C1111yescharacteristic
339C2×#103C22×C1111yescharacteristic
340C2×#103C22×C1111yescharacteristic
341C2×#103C22×C1111yescharacteristic
342C2×#102C22×C1111yescharacteristic
343C2×#102C22×C1111yescharacteristic
344C2×#102C22×C1111yescharacteristic
345C2×#102C22×C1111yescharacteristic
346C2×C4×C8C22×C1111yescharacteristic
347#396—21no—
348#396—21no—
349#391C22×C1111yescharacteristic
350#390C22×C1111yescharacteristic
351#390C22×C1111yescharacteristic
352#390C22×C1111yescharacteristic
353#388—21no—
354#388—21no—
355#388—21no—
356#388—21no—
357#382C22×C1111yescharacteristic
358#381—21no—
359C4×C4⋊C4C22×C1111yescharacteristic
360C4×C4⋊C4C22×C1111yescharacteristic
361C4×C4⋊C4C22×C1111yescharacteristic
362C4×C22⋊C4—21no—
363#340C22×C1111yescharacteristic
364#340C22×C1111yescharacteristic
365#336C22×C1111yescharacteristic
366#336C22×C1111yescharacteristic
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—81no—
371C22×C11—81no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11C2×#12111yescharacteristic
382C22×C11#54611yescharacteristic
383C22×C11#55011yescharacteristic
384C22×C11C2×#13511yescharacteristic
385C22×C11#57511yescharacteristic
386C22×C11#57711yescharacteristic
387C22×C11#57711yescharacteristic
388C4×C11—22no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—42no—
392C4×C11—42no—
393C4×C11—41no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—81no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11#52511yescharacteristic
401C4×C11#53511yescharacteristic
402C4×C11#55311yescharacteristic
403C4×C11#55511yescharacteristic
404C22×Q8C23×C1111yescharacteristic
405C22×Q8C23×C1111yescharacteristic
406C22×D4C23×C1111yescharacteristic
407C22×D4C23×C1111yescharacteristic
408C23×C4—21no—
409C2×SD16—22no—
410C2×SD16—22no—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—41no—
414C2×SD16—41no—
415C2×D8—22no—
416C2×D8—41no—
417C2×D8—41no—
418C22×C8C23×C1111yescharacteristic
419C22×C8C23×C1111yescharacteristic
420C22×C8C23×C1111yescharacteristic
421C22×C8C23×C1111yescharacteristic
422C4⋊Q8—22no—
423C4⋊Q8—41no—
424#124—22no—
425#124—22no—
426#124—22no—
427#124—41no—
428C4×Q8—22no—
429C4×Q8—22no—
430C4×D4—22no—
431C4×D4D4×C1114yes—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4D4×C1111yescharacteristic
436C2×C4⋊C4D4×C1111yescharacteristic
437C2×C4⋊C4C23×C1111yescharacteristic
438C2×C4⋊C4C23×C1111yescharacteristic
439C2×C4⋊C4C23×C1111yescharacteristic
440C2×C4⋊C4C23×C1111yescharacteristic
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—21no—
455C2×C42C23×C1111yescharacteristic
456C2×C42C23×C1111yescharacteristic
457C2×C42C23×C1111yescharacteristic
458#106—22no—
459C4⋊C8—22no—
460C4⋊C8—41no—
461C4⋊C8—41no—
462#103—22no—
463#103—22no—
464#103—22no—
465#103—41no—
466#103—41no—
467#103—41no—
468#102—22no—
469#102—22no—
470#102—22no—
471#102—41no—
472C4×C8—22no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95D4×C1111yescharacteristic
480#95D4×C1111yescharacteristic
481C2×C11—82no—
482C2×C11—161no—
483C2×C11#241411yescharacteristic
484C2×C11#303511yescharacteristic
485C2×C11#304211yescharacteristic
486C2×C11#330111yescharacteristic
487C2×C11#332611yescharacteristic
488C2×C11#339411yescharacteristic
489C2×C11#340111yescharacteristic
490C24—21no—
491C24—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8C11×#4112yes—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4C2×D4×C1112yes—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—24no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4C2×D4×C1111yescharacteristic
526C22×C4C2×D4×C1111yescharacteristic
527C22×C4C2×D4×C1111yescharacteristic
528C22×C4C2×D4×C1111yescharacteristic
529C22×C4C2×D4×C1111yescharacteristic
530C22×C4C2×D4×C1111yescharacteristic
531C22×C4C24×C1111yescharacteristic
532SD16—28no—
533SD16—44no—
534D8—44no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8C11×#4112yes—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—41no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4C2×D4×C1112yes—
560C22⋊C4—24no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—81no—
570C22⋊C4—81no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—42no—
576C42—81no—
577C42—81no—
578C42C2×D4×C1112yes—
579C42C11×#4112yes—
580C11#2463611yescharacteristic, direct product factor, Sylow
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23C22×D4×C1111yescharacteristic
596Q8—22no—
597Q8—22no—
598Q8—41no—
599Q8—41no—
600Q8—41no—
601Q8—41no—
602Q8—41no—
603Q8—41no—
604D4—22no—
605D4—22no—
606D4—41no—
607D4—41no—
608D4—41no—
609D4—41no—
610D4—41no—
611D4—41no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4C11×#12112yes—
647C2×C4C11×#12112yes—
648C2×C4C11×#13512yes—
649C2×C4C22×D4×C1111yescharacteristic
650C2×C4C2×C11×#4111yescharacteristic
651C2×C4C2×C11×#4111yescharacteristic
652C2×C4C2×C11×#4111yescharacteristic
653C2×C4C11×H(5,𝔽2)11yescharacteristic
654C2×C4C11×H(5,𝔽2)11yescharacteristic
655C8—22no—
656C8—41no—
657C8—41no—
658C8—41no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22C2×C11×#12111yescharacteristic
674C22C11×#54611yescharacteristic
675C22C11×#55011yescharacteristic
676C22C2×C11×#13511yescharacteristic
677C22C11×#57511yescharacteristic
678C22C11×#57711yescharacteristic
679C22C11×#57711yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—42no—
684C4—42no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—81no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4C11×#52511yescharacteristic
693C4C11×#53511yescharacteristic
694C4C11×#55311yescharacteristic
695C4C11×#55511yescharacteristic
696C2—82no—
697C2—161no—
698C2C11×#241411yescharacteristic
699C2C11×#303511yescharacteristic
700C2C11×#304211yescharacteristic
701C2C11×#330111yescharacteristic
702C2C11×#332611yescharacteristic
703C2C11×#339411yescharacteristic
704C2C11×#340111yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×C11×D8C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C4×C11×SD16C2semidirect
3. C11×#2545C2semidirect
4. C11×#2357C2semidirect
5. C11×#2055C2semidirect
7. C11×#2013C2semidirect
9. C11×#1983C2semidirect
10. C11×#1981C2semidirect
11. C11×#1958C2semidirect
12. C11×#1939C2semidirect
13. C11×#1927C2semidirect
14. C11×#1926C2semidirect
15. C11×#1805C2semidirect
138. #24636C11direct (N × H)
230. C2×C4×SD16C2×C11semidirect
231. #2545C2×C11semidirect
232. #2357C2×C11semidirect
233. #2055C2×C11semidirect
235. #2013C2×C11semidirect
237. #1983C2×C11semidirect
238. #1981C2×C11semidirect
239. #1958C2×C11semidirect
240. #1939C2×C11semidirect
241. #1927C2×C11semidirect
242. #1926C2×C11semidirect
243. #1805C2×C11semidirect
580. C11#24636direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4632
C2×C4×C11×SD162
C11×#25452
C11×#23572
C11×#20552
C11×#20542
C11×#20132
C11×#20122
C11×#19832
C11×#19812
C11×#19582
C11×#19392
C11×#19272
C11×#19262
C11×#18052
#2463611