Finite Group Databasebeta

← C11×#22526 #14599719

Subgroups — C11×#22526 #14599719

Order 2816.

1066 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#554C211yesmaximal, characteristic
2C2×C11×#446C211yesmaximal, characteristic, complemented
3C11×#2355C211yesmaximal, characteristic, complemented
4C11×#1993C211yesmaximal, characteristic, complemented
5C11×#1992C211yesmaximal, characteristic, complemented
6C11×#1991C211yesmaximal, characteristic, complemented
7C11×#1989C211yesmaximal, characteristic, complemented
8C11×#1989C211yesmaximal, characteristic, complemented
9C11×#1988C211yesmaximal, characteristic, complemented
10C11×#1804C211yesmaximal, characteristic
11C11×#1804C211yesmaximal, characteristic
12C11×#1802C211yesmaximal, characteristic
13C11×#1762C211yesmaximal, characteristic
14C11×#1762C211yesmaximal, characteristic
15C4×C11×#102C211yesmaximal, characteristic
16C11×#554—24no—
17C11×#554C418yescomplemented
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C11×#125C2211yescharacteristic
20C2×C11×#125C2211yescharacteristic
21C2×C11×C22⋊Q8—21no—
22C2×C11×C22⋊Q8—21no—
23C2×C11×C22⋊Q8—21no—
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×D4×C11C2211yescharacteristic
26C2×C4×D4×C11C2211yescharacteristic
27C2×C4×D4×C11C2211yescharacteristic
28C22×C11×C4⋊C4—21no—
29C11×#446—24no—
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×C4⋊C8C2211yescharacteristic
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C11×#102C2211yescharacteristic
36C2×C11×#102C2211yescharacteristic
37C2×C11×#97C2211yescharacteristic
38C2×C11×#97C2211yescharacteristic
39C2×C4×C8×C11C2211yescharacteristic
40C11×#391—21no—
41C11×#387—21no—
42C11×#387—21no—
43C11×#384C2211yescharacteristic
44C11×#382C2211yescharacteristic
45C11×#382C2211yescharacteristic
46C4×C11×C4⋊C4—21no—
47C4×C11×C4⋊C4C2211yescharacteristic
48C4×C11×C4⋊C4C2211yescharacteristic
49C4×C11×C4⋊C4C2211yescharacteristic
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56C11×#340C2211yescharacteristic
57C11×#340C2211yescharacteristic
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60C11×#340C2211yescharacteristic
61C11×#340C2211yescharacteristic
62C22×Q8×C11—21no—
63C22×Q8×C11D411yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C22×C8×C11C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C11×C4⋊Q8—22no—
73C11×C4⋊Q8C2×C414yes—
74C11×#125—22no—
75C11×#125—22no—
76C11×#125C2×C414yes—
77C11×#125C2×C414yes—
78C11×C22⋊Q8—28no—
79C11×C22⋊Q8—28no—
80C11×C22⋊Q8—28no—
81C4×Q8×C11C2×C414yes—
82C4×Q8×C11D414yes—
83C4×D4×C11—22no—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C4×D4×C11C2×C414yes—
87C4×D4×C11C2×C414yes—
88C4×D4×C11C2×C414yes—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4—21no—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—28no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4—21no—
97C2×C11×C4⋊C4D411yescharacteristic
98C2×C11×C4⋊C4D411yescharacteristic
99C2×C11×C4⋊C4D411yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2311yescharacteristic
103C2×C11×C4⋊C4C2311yescharacteristic
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C22⋊C4—21no—
108C2×C11×C22⋊C4—21no—
109C2×C11×C22⋊C4—21no—
110C2×C42×C11—21no—
111C2×C42×C11—21no—
112C2×C42×C11—21no—
113C2×C42×C11C2311yescharacteristic
114C2×C42×C11C2311yescharacteristic
115C2×C42×C11C2311yescharacteristic
116C11×C4⋊C8—22no—
117C11×C4⋊C8—22no—
118C11×C4⋊C8—22no—
119C11×#102—22no—
120C11×#102—22no—
121C11×#102—22no—
122C11×#102Q814yescomplemented
123C11×#97—22no—
124C11×#97—22no—
125C4×C8×C11—22no—
126C11×#95—21no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132C11×#95—21no—
133#22526C1111yesmaximal, characteristic, direct product factor, Sylow
134C24×C11—21no—
135C2×Q8×C11—24no—
136C2×Q8×C11—41no—
137C2×Q8×C11—41no—
138C2×Q8×C11—81no—
139C2×Q8×C11—81no—
140C2×Q8×C11C22⋊C414yes—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11C22×C412yes—
145C2×D4×C11C2×Q812yes—
146C2×D4×C11#4112yes—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—24no—
152C22×C4×C11—24no—
153C22×C4×C11—24no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—42no—
158C22×C4×C11—42no—
159C22×C4×C11—81no—
160C22×C4×C11—81no—
161C22×C4×C11—81no—
162C22×C4×C11—81no—
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×C11C2411yescharacteristic
170C2×C8×C11—21no—
171C2×C8×C11—21no—
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×C11C2×Q812yes—
182C11×C4⋊C4—24no—
183C11×C4⋊C4—24no—
184C11×C4⋊C4—24no—
185C11×C4⋊C4—24no—
186C11×C4⋊C4—24no—
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—42no—
198C11×C4⋊C4—81no—
199C11×C4⋊C4C22⋊C414yes—
200C11×C4⋊C4C22⋊C414yes—
201C11×C4⋊C4C22⋊C414yes—
202C11×C4⋊C4C22×C412yes—
203C11×C4⋊C4C22×C412yes—
204C11×C4⋊C4C22×C412yes—
205C11×C4⋊C4C2×Q812yes—
206C11×C22⋊C4—24no—
207C11×C22⋊C4—24no—
208C11×C22⋊C4—24no—
209C42×C11—42no—
210C42×C11—81no—
211C42×C11—81no—
212C42×C11C22×C412yes—
213C42×C11C22×C412yes—
214C42×C11C22×C412yes—
215C42×C11C2×D412yes—
216C42×C11C2×D412yes—
217C42×C11C2×D412yes—
218C2×#554C2×C1111yescharacteristic
219C2×#446C2×C1111yescharacteristic, complemented
220#2355C2×C1111yescharacteristic, complemented
221#1993C2×C1111yescharacteristic, complemented
222#1992C2×C1111yescharacteristic, complemented
223#1991C2×C1111yescharacteristic, complemented
224#1989C2×C1111yescharacteristic, complemented
225#1989C2×C1111yescharacteristic, complemented
226#1988C2×C1111yescharacteristic, complemented
227#1804C2×C1111yescharacteristic
228#1804C2×C1111yescharacteristic
229#1802C2×C1111yescharacteristic
230#1762C2×C1111yescharacteristic
231#1762C2×C1111yescharacteristic
232C4×#102C2×C1111yescharacteristic
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—41no—
239C23×C11—41no—
240C23×C11C22×D411yescharacteristic
241Q8×C11—44no—
242Q8×C11—84no—
243D4×C11—22no—
244D4×C11—22no—
245D4×C11—22no—
246D4×C11C4×Q814yes—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
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—22no—
262C2×C4×C11—22no—
263C2×C4×C11—48no—
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—84no—
282C2×C4×C11—84no—
283C2×C4×C11C2×C22⋊C412yes—
284C2×C4×C11C2×C22⋊C412yes—
285C2×C4×C11C2×C22⋊C412yes—
286C2×C4×C11C2×C22⋊C412yes—
287C2×C4×C11C2×C22⋊C412yes—
288C2×C4×C11C2×C22⋊C412yes—
289C2×C4×C11C23×C411yescharacteristic
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C22×Q811yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C112−1+411yescharacteristic
294C2×C4×C112−1+411yescharacteristic
295C8×C11—22no—
296C8×C11—41no—
297C8×C11—41no—
298C8×C11—41no—
299#554—24no—
300#554C4×C1118yescomplemented
301C2×C4⋊Q8C22×C1111yescharacteristic
302C2×#125C22×C1111yescharacteristic
303C2×#125C22×C1111yescharacteristic
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C4×Q8C22×C1111yescharacteristic
308C2×C4×D4C22×C1111yescharacteristic
309C2×C4×D4C22×C1111yescharacteristic
310C2×C4×D4C22×C1111yescharacteristic
311C22×C4⋊C4—21no—
312#446—24no—
313C2×C4⋊C8C22×C1111yescharacteristic
314C2×C4⋊C8C22×C1111yescharacteristic
315C2×C4⋊C8C22×C1111yescharacteristic
316C2×#102C22×C1111yescharacteristic
317C2×#102C22×C1111yescharacteristic
318C2×#102C22×C1111yescharacteristic
319C2×#102C22×C1111yescharacteristic
320C2×#97C22×C1111yescharacteristic
321C2×#97C22×C1111yescharacteristic
322C2×C4×C8C22×C1111yescharacteristic
323#391—21no—
324#387—21no—
325#387—21no—
326#384C22×C1111yescharacteristic
327#382C22×C1111yescharacteristic
328#382C22×C1111yescharacteristic
329C4×C4⋊C4—21no—
330C4×C4⋊C4C22×C1111yescharacteristic
331C4×C4⋊C4C22×C1111yescharacteristic
332C4×C4⋊C4C22×C1111yescharacteristic
333#340C22×C1111yescharacteristic
334#340C22×C1111yescharacteristic
335#340C22×C1111yescharacteristic
336#340C22×C1111yescharacteristic
337#340C22×C1111yescharacteristic
338#340C22×C1111yescharacteristic
339#340C22×C1111yescharacteristic
340#340C22×C1111yescharacteristic
341#340C22×C1111yescharacteristic
342#340C22×C1111yescharacteristic
343#340C22×C1111yescharacteristic
344#340C22×C1111yescharacteristic
345C22×C11—24no—
346C22×C11—42no—
347C22×C11—42no—
348C22×C11—42no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11C22×C22⋊C411yescharacteristic
353C22×C11#54811yescharacteristic
354C22×C11D4×Q811yescharacteristic
355C22×C11#57511yescharacteristic
356C22×C11#57511yescharacteristic
357C22×C11#57611yescharacteristic
358C22×C11#57711yescharacteristic
359C4×C11—22no—
360C4×C11—22no—
361C4×C11—22no—
362C4×C11—22no—
363C4×C11—22no—
364C4×C11—22no—
365C4×C11—42no—
366C4×C11—42no—
367C4×C11—42no—
368C4×C11—42no—
369C4×C11—81no—
370C4×C11—81no—
371C4×C11—81no—
372C4×C11C2×C4×Q811yescharacteristic
373C4×C11#51911yescharacteristic
374C4×C11#54811yescharacteristic
375C4×C11D4×Q811yescharacteristic
376C22×Q8—21no—
377C22×Q8D4×C1111yescharacteristic
378C22×D4C23×C1111yescharacteristic
379C23×C4—21no—
380C23×C4—21no—
381C23×C4—21no—
382C22×C8C23×C1111yescharacteristic
383C22×C8C23×C1111yescharacteristic
384C22×C8C23×C1111yescharacteristic
385C22×C8C23×C1111yescharacteristic
386C4⋊Q8—22no—
387C4⋊Q8C2×C4×C1114yes—
388#125—22no—
389#125—22no—
390#125C2×C4×C1114yes—
391#125C2×C4×C1114yes—
392C22⋊Q8—28no—
393C22⋊Q8—28no—
394C22⋊Q8—28no—
395C4×Q8C2×C4×C1114yes—
396C4×Q8D4×C1114yes—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4C2×C4×C1114yes—
401C4×D4C2×C4×C1114yes—
402C4×D4C2×C4×C1114yes—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—28no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4D4×C1111yescharacteristic
412C2×C4⋊C4D4×C1111yescharacteristic
413C2×C4⋊C4D4×C1111yescharacteristic
414C2×C4⋊C4C23×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×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42—21no—
427C2×C42C23×C1111yescharacteristic
428C2×C42C23×C1111yescharacteristic
429C2×C42C23×C1111yescharacteristic
430C4⋊C8—22no—
431C4⋊C8—22no—
432C4⋊C8—22no—
433#102—22no—
434#102—22no—
435#102—22no—
436#102Q8×C1114yescomplemented
437#97—22no—
438#97—22no—
439C4×C8—22no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447C2×C11—44no—
448C2×C11Q8×C22⋊C411yescharacteristic
449C2×C11#289611yescharacteristic
450C2×C11#289711yescharacteristic
451C2×C11#337011yescharacteristic
452C2×C11#337611yescharacteristic
453C2×C11#338811yescharacteristic
454C2×C11#338911yescharacteristic
455C24—21no—
456C2×Q8—24no—
457C2×Q8—41no—
458C2×Q8—41no—
459C2×Q8—81no—
460C2×Q8—81no—
461C2×Q8C11×C22⋊C414yes—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4C22×C4×C1112yes—
466C2×D4C2×Q8×C1112yes—
467C2×D4C11×#4112yes—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—42no—
479C22×C4—42no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4—81no—
484C22×C4C2×D4×C1111yescharacteristic
485C22×C4C2×D4×C1111yescharacteristic
486C22×C4C2×D4×C1111yescharacteristic
487C22×C4C2×D4×C1111yescharacteristic
488C22×C4C2×D4×C1111yescharacteristic
489C22×C4C2×D4×C1111yescharacteristic
490C22×C4C24×C1111yescharacteristic
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8C2×Q8×C1112yes—
503C4⋊C4—24no—
504C4⋊C4—24no—
505C4⋊C4—24no—
506C4⋊C4—24no—
507C4⋊C4—24no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—42no—
519C4⋊C4—81no—
520C4⋊C4C11×C22⋊C414yes—
521C4⋊C4C11×C22⋊C414yes—
522C4⋊C4C11×C22⋊C414yes—
523C4⋊C4C22×C4×C1112yes—
524C4⋊C4C22×C4×C1112yes—
525C4⋊C4C22×C4×C1112yes—
526C4⋊C4C2×Q8×C1112yes—
527C22⋊C4—24no—
528C22⋊C4—24no—
529C22⋊C4—24no—
530C42—42no—
531C42—81no—
532C42—81no—
533C42C22×C4×C1112yes—
534C42C22×C4×C1112yes—
535C42C22×C4×C1112yes—
536C42C2×D4×C1112yes—
537C42C2×D4×C1112yes—
538C42C2×D4×C1112yes—
539C11#2252611yescharacteristic, direct product factor, Sylow
540C23—22no—
541C23—22no—
542C23—22no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23C22×D4×C1111yescharacteristic
548Q8—44no—
549Q8—84no—
550D4—22no—
551D4—22no—
552D4—22no—
553D4C4×Q8×C1114yes—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—48no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—84no—
589C2×C4—84no—
590C2×C4C2×C11×C22⋊C412yes—
591C2×C4C2×C11×C22⋊C412yes—
592C2×C4C2×C11×C22⋊C412yes—
593C2×C4C2×C11×C22⋊C412yes—
594C2×C4C2×C11×C22⋊C412yes—
595C2×C4C2×C11×C22⋊C412yes—
596C2×C4C23×C4×C1111yescharacteristic
597C2×C4C22×D4×C1111yescharacteristic
598C2×C4C22×Q8×C1111yescharacteristic
599C2×C4C2×C11×#4111yescharacteristic
600C2×C4C11×2−1+411yescharacteristic
601C2×C4C11×2−1+411yescharacteristic
602C8—22no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—24no—
607C22—42no—
608C22—42no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22C22×C11×C22⋊C411yescharacteristic
614C22C11×#54811yescharacteristic
615C22D4×Q8×C1111yescharacteristic
616C22C11×#57511yescharacteristic
617C22C11×#57511yescharacteristic
618C22C11×#57611yescharacteristic
619C22C11×#57711yescharacteristic
620C4—22no—
621C4—22no—
622C4—22no—
623C4—22no—
624C4—22no—
625C4—22no—
626C4—42no—
627C4—42no—
628C4—42no—
629C4—42no—
630C4—81no—
631C4—81no—
632C4—81no—
633C4C2×C4×Q8×C1111yescharacteristic
634C4C11×#51911yescharacteristic
635C4C11×#54811yescharacteristic
636C4D4×Q8×C1111yescharacteristic
637C2—44no—
638C2Q8×C11×C22⋊C411yescharacteristic
639C2C11×#289611yescharacteristic
640C2C11×#289711yescharacteristic
641C2C11×#337011yescharacteristic
642C2C11×#337611yescharacteristic
643C2C11×#338811yescharacteristic
644C2C11×#338911yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC22×D4×C11C23
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×Q8×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#446C2semidirect
3. C11×#2355C2semidirect
4. C11×#1993C2semidirect
5. C11×#1992C2semidirect
6. C11×#1991C2semidirect
7. C11×#1989C2semidirect
8. C11×#1989C2semidirect
9. C11×#1988C2semidirect
17. C11×#554C4semidirect
122. C11×#102Q8semidirect
133. #22526C11direct (N × H)
219. C2×#446C2×C11semidirect
220. #2355C2×C11semidirect
221. #1993C2×C11semidirect
222. #1992C2×C11semidirect
223. #1991C2×C11semidirect
224. #1989C2×C11semidirect
225. #1989C2×C11semidirect
226. #1988C2×C11semidirect
300. #554C4×C11semidirect
436. #102Q8×C11semidirect
539. C11#22526direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5542
C2×C11×#4462
C11×#23552
C11×#19932
C11×#19922
C11×#19912
C11×#19892
C11×#19882
C11×#18042
C11×#18022
C11×#17622
C4×C11×#1022
#2252611