Finite Group Databasebeta

← C11×#22390 #14599583

Subgroups — C11×#22390 #14599583

Order 2816.

732 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2398C211yesmaximal, characteristic
2C11×#1985C211yesmaximal, characteristic, complemented
3C11×#1984C211yesmaximal, characteristic, complemented
4C11×#1924C211yesmaximal, characteristic, complemented
5C11×#1924C211yesmaximal, characteristic, complemented
6C11×#1924C211yesmaximal, characteristic, complemented
7C11×#1923C211yesmaximal, characteristic, complemented
8C11×#1870C211yesmaximal, characteristic
9C11×#1869C211yesmaximal, characteristic
10C11×#1851C211yesmaximal, characteristic, complemented
11C11×#1850C211yesmaximal, characteristic, complemented
12C11×#1840C211yesmaximal, characteristic, complemented
13C11×#1768C211yesmaximal, characteristic, complemented
14C11×#1753C211yesmaximal, characteristic, complemented
15C8×C11×C22⋊C4C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C23×C8×C11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×C11×C4⋊C8C2211yescharacteristic
21C2×C11×C4⋊C8C2211yescharacteristic
22C2×C11×C4⋊C8C2211yescharacteristic
23C2×C11×C4⋊C8C2211yescharacteristic
24C2×C11×C22⋊C8C2211yescharacteristic
25C2×C11×C22⋊C8C2211yescharacteristic
26C2×C11×C22⋊C8C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28C2×C11×C22⋊C8C2211yescharacteristic
29C2×C11×C22⋊C8C2211yescharacteristic
30C2×C11×#97C2211yescharacteristic
31C2×C11×#97C2211yescharacteristic
32C2×C4×C8×C11C2211yescharacteristic
33C2×C4×C8×C11C2211yescharacteristic
34C11×#400C411yescharacteristic
35C11×#400C411yescharacteristic
36C11×#397C411yescharacteristic
37C11×#397C411yescharacteristic
38C11×#394C411yescharacteristic
39C11×#394C411yescharacteristic
40C11×#393C411yescharacteristic
41C11×#393C411yescharacteristic
42C4×C11×C22⋊C4C2211yescharacteristic
43C4×C11×C22⋊C4C2211yescharacteristic
44C4×C11×C22⋊C4C2211yescharacteristic
45C4×C11×C22⋊C4C2211yescharacteristic
46C11×#376C2211yescharacteristic
47C11×#336C2211yescharacteristic
48C11×#336C2211yescharacteristic
49C11×#336C2211yescharacteristic
50C11×#336C2211yescharacteristic
51C11×#336C2211yescharacteristic
52C11×#336C2211yescharacteristic
53C11×#336C2211yescharacteristic
54C11×#336C2211yescharacteristic
55C11×#336C2211yescharacteristic
56C11×#336C2211yescharacteristic
57C11×#336C2211yescharacteristic
58C11×#336C2211yescharacteristic
59C22×Q8×C11C2×C411yescharacteristic
60C22×D4×C11C2×C411yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C2×C11×M16—22no—
64C2×C11×M16—41no—
65C2×C11×M16—41no—
66C22×C8×C11—22no—
67C22×C8×C11—41no—
68C22×C8×C11—41no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C4×Q8×C11—41no—
78C4×Q8×C11—41no—
79C4×D4×C11—41no—
80C4×D4×C11—41no—
81C2×C11×C4⋊C4C2×C411yescharacteristic
82C2×C11×C4⋊C4C2×C411yescharacteristic
83C2×C11×C4⋊C4C2×C411yescharacteristic
84C2×C11×C4⋊C4C2×C411yescharacteristic
85C2×C11×C22⋊C4C2×C411yescharacteristic
86C2×C11×C22⋊C4C2×C411yescharacteristic
87C2×C11×C22⋊C4C2×C411yescharacteristic
88C2×C11×C22⋊C4C2×C411yescharacteristic
89C2×C11×C22⋊C4C2×C411yescharacteristic
90C2×C11×C22⋊C4C2×C411yescharacteristic
91C2×C11×C22⋊C4C2×C411yescharacteristic
92C2×C11×C22⋊C4C2×C411yescharacteristic
93C2×C11×C22⋊C4C2×C411yescharacteristic
94C2×C11×C22⋊C4C2×C411yescharacteristic
95C2×C42×C11C2311yescharacteristic
96C2×C42×C11C2311yescharacteristic
97C2×C42×C11C2311yescharacteristic
98C2×C42×C11C2311yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C11×C4⋊C8—22no—
101C11×C4⋊C8—22no—
102C11×C4⋊C8—41no—
103C11×C4⋊C8—41no—
104C11×C22⋊C8—22no—
105C11×C22⋊C8—22no—
106C11×C22⋊C8—41no—
107C11×C22⋊C8—41no—
108C11×C22⋊C8—41no—
109C11×C22⋊C8—41no—
110C11×#97—41no—
111C11×#97—41no—
112C4×C8×C11—41no—
113C4×C8×C11—41no—
114C11×#95C2×C411yescharacteristic
115C11×#95C2×C411yescharacteristic
116C11×#95C2×C411yescharacteristic
117C11×#95C2×C411yescharacteristic
118C11×#95C2×C411yescharacteristic
119C11×#95C2×C411yescharacteristic
120C11×#95C2×C411yescharacteristic
121C11×#95C2×C411yescharacteristic
122C11×#95C2×C411yescharacteristic
123C11×#95C2×C411yescharacteristic
124C11×#95C2×C411yescharacteristic
125C11×#95C2×C411yescharacteristic
126#22390C1111yesmaximal, characteristic, direct product factor, Sylow
127C24×C11C22×C411yescharacteristic
128C24×C11C22×C411yescharacteristic
129C2×Q8×C11—22no—
130C2×Q8×C11—41no—
131C2×Q8×C11—41no—
132C2×D4×C11—22no—
133C2×D4×C11—41no—
134C2×D4×C11—41no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11C22×C411yescharacteristic
148C22×C4×C11C22×C411yescharacteristic
149C22×C4×C11C22×C411yescharacteristic
150C22×C4×C11C22×C411yescharacteristic
151C22×C4×C11C22×C411yescharacteristic
152C22×C4×C11C22×C411yescharacteristic
153C22×C4×C11C22×C411yescharacteristic
154C22×C4×C11C22×C411yescharacteristic
155C22×C4×C11C22×C411yescharacteristic
156C22×C4×C11C22×C411yescharacteristic
157C22×C4×C11C22×C411yescharacteristic
158C22×C4×C11C22×C411yescharacteristic
159C22×C4×C11C2411yescharacteristic
160C11×M16—44no—
161C2×C8×C11—21no—
162C2×C8×C11—21no—
163C2×C8×C11—21no—
164C2×C8×C11—21no—
165C2×C8×C11—21no—
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11—21no—
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×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—44no—
184C2×C8×C11#4112yes—
185C2×C8×C11#4112yes—
186C11×C4⋊C4—41no—
187C11×C4⋊C4—41no—
188C11×C4⋊C4—41no—
189C11×C4⋊C4—41no—
190C11×C22⋊C4—22no—
191C11×C22⋊C4—22no—
192C11×C22⋊C4—22no—
193C11×C22⋊C4—22no—
194C11×C22⋊C4—41no—
195C11×C22⋊C4—41no—
196C11×C22⋊C4—41no—
197C11×C22⋊C4—41no—
198C11×C22⋊C4—41no—
199C11×C22⋊C4—41no—
200C42×C11—21no—
201C42×C11—21no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210#2398C2×C1111yescharacteristic
211#1985C2×C1111yescharacteristic, complemented
212#1984C2×C1111yescharacteristic, complemented
213#1924C2×C1111yescharacteristic, complemented
214#1924C2×C1111yescharacteristic, complemented
215#1924C2×C1111yescharacteristic, complemented
216#1923C2×C1111yescharacteristic, complemented
217#1870C2×C1111yescharacteristic
218#1869C2×C1111yescharacteristic
219#1851C2×C1111yescharacteristic, complemented
220#1850C2×C1111yescharacteristic, complemented
221#1840C2×C1111yescharacteristic, complemented
222#1768C2×C1111yescharacteristic, complemented
223#1753C2×C1111yescharacteristic, complemented
224C8×C22⋊C4C2×C1111yescharacteristic, complemented
225C23×C11—21no—
226C23×C11—21no—
227C23×C11—21no—
228C23×C11—21no—
229C23×C11—21no—
230C23×C11—21no—
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11#13112yes—
239C23×C11C23×C411yescharacteristic
240Q8×C11—44no—
241D4×C11—44no—
242C2×C4×C11—21no—
243C2×C4×C11—21no—
244C2×C4×C11—21no—
245C2×C4×C11—21no—
246C2×C4×C11—21no—
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—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
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#13112yes—
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C11H(5,𝔽2)11yescharacteristic
290C2×C4×C11H(5,𝔽2)11yescharacteristic
291C2×C4×C112−1+411yescharacteristic
292C8×C11—22no—
293C8×C11—22no—
294C8×C11—41no—
295C8×C11—41no—
296C8×C11—41no—
297C8×C11—41no—
298C8×C11—41no—
299C8×C11—41no—
300C22×M16C22×C1111yescharacteristic
301C23×C8C22×C1111yescharacteristic
302C2×C4×Q8C22×C1111yescharacteristic
303C2×C4×D4C22×C1111yescharacteristic
304C2×C4⋊C8C22×C1111yescharacteristic
305C2×C4⋊C8C22×C1111yescharacteristic
306C2×C4⋊C8C22×C1111yescharacteristic
307C2×C4⋊C8C22×C1111yescharacteristic
308C2×C22⋊C8C22×C1111yescharacteristic
309C2×C22⋊C8C22×C1111yescharacteristic
310C2×C22⋊C8C22×C1111yescharacteristic
311C2×C22⋊C8C22×C1111yescharacteristic
312C2×C22⋊C8C22×C1111yescharacteristic
313C2×C22⋊C8C22×C1111yescharacteristic
314C2×#97C22×C1111yescharacteristic
315C2×#97C22×C1111yescharacteristic
316C2×C4×C8C22×C1111yescharacteristic
317C2×C4×C8C22×C1111yescharacteristic
318#400C4×C1111yescharacteristic
319#400C4×C1111yescharacteristic
320#397C4×C1111yescharacteristic
321#397C4×C1111yescharacteristic
322#394C4×C1111yescharacteristic
323#394C4×C1111yescharacteristic
324#393C4×C1111yescharacteristic
325#393C4×C1111yescharacteristic
326C4×C22⋊C4C22×C1111yescharacteristic
327C4×C22⋊C4C22×C1111yescharacteristic
328C4×C22⋊C4C22×C1111yescharacteristic
329C4×C22⋊C4C22×C1111yescharacteristic
330#376C22×C1111yescharacteristic
331#336C22×C1111yescharacteristic
332#336C22×C1111yescharacteristic
333#336C22×C1111yescharacteristic
334#336C22×C1111yescharacteristic
335#336C22×C1111yescharacteristic
336#336C22×C1111yescharacteristic
337#336C22×C1111yescharacteristic
338#336C22×C1111yescharacteristic
339#336C22×C1111yescharacteristic
340#336C22×C1111yescharacteristic
341#336C22×C1111yescharacteristic
342#336C22×C1111yescharacteristic
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—41no—
347C22×C11—41no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11—41no—
356C22×C11—41no—
357C22×C11C4×#4111yescharacteristic
358C22×C11#51811yescharacteristic
359C22×C11#52011yescharacteristic
360C22×C11C2×#13111yescharacteristic
361C22×C11C2×#13111yescharacteristic
362C22×C11#56811yescharacteristic
363C22×C11#56811yescharacteristic
364C4×C11—22no—
365C4×C11—41no—
366C4×C11—41no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—41no—
370C4×C11—41no—
371C4×C11—41no—
372C4×C11—41no—
373C4×C11—41no—
374C4×C11—41no—
375C4×C11—41no—
376C4×C11#53811yescharacteristic
377C4×C11#53811yescharacteristic
378C4×C11#54211yescharacteristic
379C4×C11#54211yescharacteristic
380C22×Q8C2×C4×C1111yescharacteristic
381C22×D4C2×C4×C1111yescharacteristic
382C23×C4C23×C1111yescharacteristic
383C23×C4C23×C1111yescharacteristic
384C2×M16—22no—
385C2×M16—41no—
386C2×M16—41no—
387C22×C8—22no—
388C22×C8—41no—
389C22×C8—41no—
390C22×C8C23×C1111yescharacteristic
391C22×C8C23×C1111yescharacteristic
392C22×C8C23×C1111yescharacteristic
393C22×C8C23×C1111yescharacteristic
394C22×C8C23×C1111yescharacteristic
395C22×C8C23×C1111yescharacteristic
396C22×C8C23×C1111yescharacteristic
397C22×C8C23×C1111yescharacteristic
398C4×Q8—41no—
399C4×Q8—41no—
400C4×D4—41no—
401C4×D4—41no—
402C2×C4⋊C4C2×C4×C1111yescharacteristic
403C2×C4⋊C4C2×C4×C1111yescharacteristic
404C2×C4⋊C4C2×C4×C1111yescharacteristic
405C2×C4⋊C4C2×C4×C1111yescharacteristic
406C2×C22⋊C4C2×C4×C1111yescharacteristic
407C2×C22⋊C4C2×C4×C1111yescharacteristic
408C2×C22⋊C4C2×C4×C1111yescharacteristic
409C2×C22⋊C4C2×C4×C1111yescharacteristic
410C2×C22⋊C4C2×C4×C1111yescharacteristic
411C2×C22⋊C4C2×C4×C1111yescharacteristic
412C2×C22⋊C4C2×C4×C1111yescharacteristic
413C2×C22⋊C4C2×C4×C1111yescharacteristic
414C2×C22⋊C4C2×C4×C1111yescharacteristic
415C2×C22⋊C4C2×C4×C1111yescharacteristic
416C2×C42C23×C1111yescharacteristic
417C2×C42C23×C1111yescharacteristic
418C2×C42C23×C1111yescharacteristic
419C2×C42C23×C1111yescharacteristic
420C2×C42C23×C1111yescharacteristic
421C4⋊C8—22no—
422C4⋊C8—22no—
423C4⋊C8—41no—
424C4⋊C8—41no—
425C22⋊C8—22no—
426C22⋊C8—22no—
427C22⋊C8—41no—
428C22⋊C8—41no—
429C22⋊C8—41no—
430C22⋊C8—41no—
431#97—41no—
432#97—41no—
433C4×C8—41no—
434C4×C8—41no—
435#95C2×C4×C1111yescharacteristic
436#95C2×C4×C1111yescharacteristic
437#95C2×C4×C1111yescharacteristic
438#95C2×C4×C1111yescharacteristic
439#95C2×C4×C1111yescharacteristic
440#95C2×C4×C1111yescharacteristic
441#95C2×C4×C1111yescharacteristic
442#95C2×C4×C1111yescharacteristic
443#95C2×C4×C1111yescharacteristic
444#95C2×C4×C1111yescharacteristic
445#95C2×C4×C1111yescharacteristic
446#95C2×C4×C1111yescharacteristic
447C2×C11—42no—
448C2×C11—81no—
449C2×C11#233711yescharacteristic
450C2×C11#296611yescharacteristic
451C2×C11#296711yescharacteristic
452C2×C11#297611yescharacteristic
453C2×C11#297611yescharacteristic
454C2×C11#299211yescharacteristic
455C2×C11#299311yescharacteristic
456C24C22×C4×C1111yescharacteristic
457C24C22×C4×C1111yescharacteristic
458C2×Q8—22no—
459C2×Q8—41no—
460C2×Q8—41no—
461C2×D4—22no—
462C2×D4—41no—
463C2×D4—41no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4C22×C4×C1111yescharacteristic
477C22×C4C22×C4×C1111yescharacteristic
478C22×C4C22×C4×C1111yescharacteristic
479C22×C4C22×C4×C1111yescharacteristic
480C22×C4C22×C4×C1111yescharacteristic
481C22×C4C22×C4×C1111yescharacteristic
482C22×C4C22×C4×C1111yescharacteristic
483C22×C4C22×C4×C1111yescharacteristic
484C22×C4C22×C4×C1111yescharacteristic
485C22×C4C22×C4×C1111yescharacteristic
486C22×C4C22×C4×C1111yescharacteristic
487C22×C4C22×C4×C1111yescharacteristic
488C22×C4C24×C1111yescharacteristic
489M16—44no—
490C2×C8—21no—
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×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—44no—
513C2×C8C11×#4112yes—
514C2×C8C11×#4112yes—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C22⋊C4—22no—
520C22⋊C4—22no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—41no—
524C22⋊C4—41no—
525C22⋊C4—41no—
526C22⋊C4—41no—
527C22⋊C4—41no—
528C22⋊C4—41no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—21no—
539C11#2239011yescharacteristic, direct product factor, Sylow
540C23—21no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23C11×#13112yes—
554C23C23×C4×C1111yescharacteristic
555Q8—44no—
556D4—44no—
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—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
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×C4C11×#13112yes—
601C2×C4C2×C11×#4111yescharacteristic
602C2×C4C2×C11×#4111yescharacteristic
603C2×C4C11×H(5,𝔽2)11yescharacteristic
604C2×C4C11×H(5,𝔽2)11yescharacteristic
605C2×C4C11×H(5,𝔽2)11yescharacteristic
606C2×C4C11×2−1+411yescharacteristic
607C8—22no—
608C8—22no—
609C8—41no—
610C8—41no—
611C8—41no—
612C8—41no—
613C8—41no—
614C8—41no—
615C22—22no—
616C22—22no—
617C22—22no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22C4×C11×#4111yescharacteristic
630C22C11×#51811yescharacteristic
631C22C11×#52011yescharacteristic
632C22C2×C11×#13111yescharacteristic
633C22C2×C11×#13111yescharacteristic
634C22C11×#56811yescharacteristic
635C22C11×#56811yescharacteristic
636C4—22no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—41no—
647C4—41no—
648C4C11×#53811yescharacteristic
649C4C11×#53811yescharacteristic
650C4C11×#54211yescharacteristic
651C4C11×#54211yescharacteristic
652C2—42no—
653C2—81no—
654C2C11×#233711yescharacteristic
655C2C11×#296611yescharacteristic
656C2C11×#296711yescharacteristic
657C2C11×#297611yescharacteristic
658C2C11×#297611yescharacteristic
659C2C11×#299211yescharacteristic
660C2C11×#299311yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC22×C4C24×C11
socleC23×C11C23×C4
prime radicalC22×D4×C11C2×C4
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#1985C2semidirect
3. C11×#1984C2semidirect
4. C11×#1924C2semidirect
5. C11×#1924C2semidirect
6. C11×#1924C2semidirect
7. C11×#1923C2semidirect
10. C11×#1851C2semidirect
11. C11×#1850C2semidirect
12. C11×#1840C2semidirect
13. C11×#1768C2semidirect
14. C11×#1753C2semidirect
15. C8×C11×C22⋊C4C2semidirect
126. #22390C11direct (N × H)
211. #1985C2×C11semidirect
212. #1984C2×C11semidirect
213. #1924C2×C11semidirect
214. #1924C2×C11semidirect
215. #1924C2×C11semidirect
216. #1923C2×C11semidirect
219. #1851C2×C11semidirect
220. #1850C2×C11semidirect
221. #1840C2×C11semidirect
222. #1768C2×C11semidirect
223. #1753C2×C11semidirect
224. C8×C22⋊C4C2×C11semidirect
539. C11#22390direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#23982
C11×#19852
C11×#19842
C11×#19242
C11×#19232
C11×#18702
C11×#18692
C11×#18512
C11×#18502
C11×#18402
C11×#17682
C11×#17532
C8×C11×C22⋊C42
#2239011