Finite Group Databasebeta

← C11×#25020 #14602213

Subgroups — C11×#25020 #14602213

Order 2816.

832 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×#484C211yesmaximal, characteristic, complemented
2C2×C11×#485C211yesmaximal, characteristic, complemented
3C11×#2536C211yesmaximal, characteristic
4C11×#2352C211yesmaximal, characteristic
5C11×#2076C211yesmaximal, characteristic, complemented
6C11×#2075C211yesmaximal, characteristic, complemented
7C11×#2035C211yesmaximal, characteristic, complemented
8C11×#2035C211yesmaximal, characteristic, complemented
9C11×#1954C211yesmaximal, characteristic
10C11×#1949C211yesmaximal, characteristic, complemented
11C11×#1854C211yesmaximal, characteristic, complemented
12C11×#1853C211yesmaximal, characteristic, complemented
13C11×#1846C211yesmaximal, characteristic, complemented
14C11×#1805C211yesmaximal, characteristic, complemented
15C4×C11×#103C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×C11×#117C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C11×#485—24no—
23C11×#484—24no—
24C2×C11×#107C2211yescharacteristic
25C2×C11×#107C2211yescharacteristic
26C2×C11×#107C2211yescharacteristic
27C2×C11×#106C2211yescharacteristic
28C2×C11×#106C2211yescharacteristic
29C2×C11×#106C2211yescharacteristic
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×C22⋊C8C2211yescharacteristic
36C2×C11×C22⋊C8C2211yescharacteristic
37C2×C11×C22⋊C8C2211yescharacteristic
38C2×C11×C22⋊C8C2211yescharacteristic
39C2×C4×C8×C11C2211yescharacteristic
40C11×#398—21no—
41C11×#394—21no—
42C11×#388—21no—
43C11×#388—21no—
44C11×#388—21no—
45C11×#387—21no—
46C11×#386—21no—
47C11×#382C2211yescharacteristic
48C11×#382C2211yescharacteristic
49C11×#380C2211yescharacteristic
50C11×#380C2211yescharacteristic
51C11×#380C2211yescharacteristic
52C11×#380C2211yescharacteristic
53C4×C11×C4⋊C4C2211yescharacteristic
54C4×C11×C22⋊C4—21no—
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11D411yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C11×C22⋊Q8—22no—
71C11×C22⋊Q8—22no—
72C11×C22⋊Q8—41no—
73C11×C22⋊Q8—41no—
74C4×Q8×C11—22no—
75C4×Q8×C11—22no—
76C4×D4×C11—22no—
77C4×D4×C11—22no—
78C11×#117—22no—
79C11×#117—41no—
80C2×C11×C4⋊C4—22no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4—21no—
84C2×C11×C4⋊C4—21no—
85C2×C11×C4⋊C4—41no—
86C2×C11×C4⋊C4D411yescharacteristic
87C2×C11×C4⋊C4C2311yescharacteristic
88C2×C11×C4⋊C4C2311yescharacteristic
89C2×C11×C4⋊C4C2311yescharacteristic
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C4⋊C4C2311yescharacteristic
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C22⋊C4—21no—
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4D411yescharacteristic
102C2×C11×C22⋊C4D411yescharacteristic
103C2×C42×C11—21no—
104C2×C42×C11—21no—
105C2×C42×C11—21no—
106C2×C42×C11C2311yescharacteristic
107C11×#107—22no—
108C11×#107—22no—
109C11×#107—22no—
110C11×#106—22no—
111C11×#106—41no—
112C11×#106—41no—
113C11×C4⋊C8—22no—
114C11×#103—22no—
115C11×#103—22no—
116C11×#103—22no—
117C11×#103D414yescomplemented
118C11×C22⋊C8—22no—
119C11×C22⋊C8—22no—
120C11×C22⋊C8—22no—
121C11×C22⋊C8—22no—
122C4×C8×C11—22no—
123C11×#95—21no—
124C11×#95—21no—
125C11×#95—21no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132#25020C1111yesmaximal, characteristic, direct product factor, Sylow
133C24×C11C2×D411yescharacteristic
134C24×C11C2×D411yescharacteristic
135C2×Q8×C11—21no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11C2×D412yes—
141C2×D4×C11—22no—
142C2×D4×C11—22no—
143C2×D4×C11—41no—
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—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—42no—
165C22×C4×C11—42no—
166C22×C4×C11—81no—
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2411yescharacteristic
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×C11—21no—
180C2×C8×C11—21no—
181C2×C8×C11—21no—
182C2×C8×C11C2×D412yes—
183C2×C8×C11#4112yes—
184C11×C4⋊C4—22no—
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—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4C2×D412yes—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—22no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C11×C22⋊C4—42no—
211C11×C22⋊C4—81no—
212C42×C11—42no—
213C42×C11—42no—
214C42×C11—81no—
215C42×C11#4112yes—
216C42×C11#4112yes—
217C2×#484C2×C1111yescharacteristic, complemented
218C2×#485C2×C1111yescharacteristic, complemented
219#2536C2×C1111yescharacteristic
220#2352C2×C1111yescharacteristic
221#2076C2×C1111yescharacteristic, complemented
222#2075C2×C1111yescharacteristic, complemented
223#2035C2×C1111yescharacteristic, complemented
224#2035C2×C1111yescharacteristic, complemented
225#1954C2×C1111yescharacteristic
226#1949C2×C1111yescharacteristic, complemented
227#1854C2×C1111yescharacteristic, complemented
228#1853C2×C1111yescharacteristic, complemented
229#1846C2×C1111yescharacteristic, complemented
230#1805C2×C1111yescharacteristic, complemented
231C4×#103C2×C1111yescharacteristic, complemented
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11#13512yes—
246C23×C11C22×D411yescharacteristic
247Q8×C11—22no—
248Q8×C11—22no—
249Q8×C11—41no—
250Q8×C11—41no—
251D4×C11—44no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—41no—
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—41no—
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—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—84no—
295C2×C4×C11#12312yes—
296C2×C4×C11#12312yes—
297C2×C4×C11C22×D411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C112−1+411yescharacteristic
303C8×C11—22no—
304C8×C11—22no—
305C8×C11—41no—
306C8×C11—41no—
307C2×C22⋊Q8C22×C1111yescharacteristic
308C2×C22⋊Q8C22×C1111yescharacteristic
309C2×C4×Q8C22×C1111yescharacteristic
310C2×C4×D4C22×C1111yescharacteristic
311C2×#117C22×C1111yescharacteristic
312C22×C4⋊C4C22×C1111yescharacteristic
313#485—24no—
314#484—24no—
315C2×#107C22×C1111yescharacteristic
316C2×#107C22×C1111yescharacteristic
317C2×#107C22×C1111yescharacteristic
318C2×#106C22×C1111yescharacteristic
319C2×#106C22×C1111yescharacteristic
320C2×#106C22×C1111yescharacteristic
321C2×C4⋊C8C22×C1111yescharacteristic
322C2×#103C22×C1111yescharacteristic
323C2×#103C22×C1111yescharacteristic
324C2×#103C22×C1111yescharacteristic
325C2×#103C22×C1111yescharacteristic
326C2×C22⋊C8C22×C1111yescharacteristic
327C2×C22⋊C8C22×C1111yescharacteristic
328C2×C22⋊C8C22×C1111yescharacteristic
329C2×C22⋊C8C22×C1111yescharacteristic
330C2×C4×C8C22×C1111yescharacteristic
331#398—21no—
332#394—21no—
333#388—21no—
334#388—21no—
335#388—21no—
336#387—21no—
337#386—21no—
338#382C22×C1111yescharacteristic
339#382C22×C1111yescharacteristic
340#380C22×C1111yescharacteristic
341#380C22×C1111yescharacteristic
342#380C22×C1111yescharacteristic
343#380C22×C1111yescharacteristic
344C4×C4⋊C4C22×C1111yescharacteristic
345C4×C22⋊C4—21no—
346#340C22×C1111yescharacteristic
347#340C22×C1111yescharacteristic
348#340C22×C1111yescharacteristic
349#340C22×C1111yescharacteristic
350#340C22×C1111yescharacteristic
351#340C22×C1111yescharacteristic
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11—41no—
358C22×C11—41no—
359C22×C11—41no—
360C22×C11—41no—
361C22×C11—41no—
362C22×C11—41no—
363C22×C11—41no—
364C22×C11—41no—
365C22×C11—41no—
366C22×C11C2×#12311yescharacteristic
367C22×C11D4211yescharacteristic
368C22×C11#54711yescharacteristic
369C22×C11C2×#13511yescharacteristic
370C22×C11#57511yescharacteristic
371C22×C11#57711yescharacteristic
372C22×C11#57811yescharacteristic
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—41no—
376C4×C11—41no—
377C4×C11—42no—
378C4×C11—42no—
379C4×C11—81no—
380C4×C11—81no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11—81no—
384C4×C11—81no—
385C4×C11#53211yescharacteristic
386C4×C11#54211yescharacteristic
387C4×C11#54711yescharacteristic
388C4×C11#55311yescharacteristic
389C22×Q8C23×C1111yescharacteristic
390C22×D4D4×C1111yescharacteristic
391C23×C4—21no—
392C23×C4C23×C1111yescharacteristic
393C23×C4C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398C22⋊Q8—22no—
399C22⋊Q8—22no—
400C22⋊Q8—41no—
401C22⋊Q8—41no—
402C4×Q8—22no—
403C4×Q8—22no—
404C4×D4—22no—
405C4×D4—22no—
406#117—22no—
407#117—41no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—41no—
414C2×C4⋊C4D4×C1111yescharacteristic
415C2×C4⋊C4C23×C1111yescharacteristic
416C2×C4⋊C4C23×C1111yescharacteristic
417C2×C4⋊C4C23×C1111yescharacteristic
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C4⋊C4C23×C1111yescharacteristic
420C2×C4⋊C4C23×C1111yescharacteristic
421C2×C4⋊C4C23×C1111yescharacteristic
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4D4×C1111yescharacteristic
430C2×C22⋊C4D4×C1111yescharacteristic
431C2×C42—21no—
432C2×C42—21no—
433C2×C42—21no—
434C2×C42C23×C1111yescharacteristic
435#107—22no—
436#107—22no—
437#107—22no—
438#106—22no—
439#106—41no—
440#106—41no—
441C4⋊C8—22no—
442#103—22no—
443#103—22no—
444#103—22no—
445#103D4×C1114yescomplemented
446C22⋊C8—22no—
447C22⋊C8—22no—
448C22⋊C8—22no—
449C22⋊C8—22no—
450C4×C8—22no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460C2×C11—42no—
461C2×C11—81no—
462C2×C11#242211yescharacteristic
463C2×C11#309111yescharacteristic
464C2×C11#309711yescharacteristic
465C2×C11#327511yescharacteristic
466C2×C11#328511yescharacteristic
467C2×C11#333711yescharacteristic
468C2×C11#335211yescharacteristic
469C24C2×D4×C1111yescharacteristic
470C24C2×D4×C1111yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C2×D4×C1112yes—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—41no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—81no—
503C22×C4C2×D4×C1111yescharacteristic
504C22×C4C2×D4×C1111yescharacteristic
505C22×C4C2×D4×C1111yescharacteristic
506C22×C4C2×D4×C1111yescharacteristic
507C22×C4C24×C1111yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8C2×D4×C1112yes—
519C2×C8C11×#4112yes—
520C4⋊C4—22no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4C2×D4×C1112yes—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C42—42no—
549C42—42no—
550C42—81no—
551C42C11×#4112yes—
552C42C11×#4112yes—
553C11#2502011yescharacteristic, direct product factor, Sylow
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23C11×#13512yes—
568C23C22×D4×C1111yescharacteristic
569Q8—22no—
570Q8—22no—
571Q8—41no—
572Q8—41no—
573D4—44no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
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—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—84no—
617C2×C4C11×#12312yes—
618C2×C4C11×#12312yes—
619C2×C4C22×D4×C1111yescharacteristic
620C2×C4C2×C11×#4111yescharacteristic
621C2×C4C2×C11×#4111yescharacteristic
622C2×C4C2×C11×#4111yescharacteristic
623C2×C4C11×H(5,𝔽2)11yescharacteristic
624C2×C4C11×2−1+411yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22C2×C11×#12311yescharacteristic
644C22D42×C1111yescharacteristic
645C22C11×#54711yescharacteristic
646C22C2×C11×#13511yescharacteristic
647C22C11×#57511yescharacteristic
648C22C11×#57711yescharacteristic
649C22C11×#57811yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—41no—
654C4—42no—
655C4—42no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4C11×#53211yescharacteristic
663C4C11×#54211yescharacteristic
664C4C11×#54711yescharacteristic
665C4C11×#55311yescharacteristic
666C2—42no—
667C2—81no—
668C2C11×#242211yescharacteristic
669C2C11×#309111yescharacteristic
670C2C11×#309711yescharacteristic
671C2C11×#327511yescharacteristic
672C2C11×#328511yescharacteristic
673C2C11×#333711yescharacteristic
674C2C11×#335211yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#484C2semidirect
2. C2×C11×#485C2semidirect
5. C11×#2076C2semidirect
6. C11×#2075C2semidirect
7. C11×#2035C2semidirect
8. C11×#2035C2semidirect
10. C11×#1949C2semidirect
11. C11×#1854C2semidirect
12. C11×#1853C2semidirect
13. C11×#1846C2semidirect
14. C11×#1805C2semidirect
15. C4×C11×#103C2semidirect
117. C11×#103D4semidirect
132. #25020C11direct (N × H)
217. C2×#484C2×C11semidirect
218. C2×#485C2×C11semidirect
221. #2076C2×C11semidirect
222. #2075C2×C11semidirect
223. #2035C2×C11semidirect
224. #2035C2×C11semidirect
226. #1949C2×C11semidirect
227. #1854C2×C11semidirect
228. #1853C2×C11semidirect
229. #1846C2×C11semidirect
230. #1805C2×C11semidirect
231. C4×#103C2×C11semidirect
445. #103D4×C11semidirect
553. C11#25020direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#4842
C2×C11×#4852
C11×#25362
C11×#23522
C11×#20762
C11×#20752
C11×#20352
C11×#19542
C11×#19492
C11×#18542
C11×#18532
C11×#18462
C11×#18052
C4×C11×#1032
#2502011