Finite Group Databasebeta

← C11×#14455 #14591648

Subgroups — C11×#14455 #14591648

Order 2816.

1146 conjugacy classes of subgroups.

The subgroup lattice has 842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#382C211yesmaximal, characteristic
2C11×#1444C211yesmaximal, characteristic
3C11×#1443C211yesmaximal, characteristic
4C11×#1442C211yesmaximal, characteristic
5C11×#1442C211yesmaximal, characteristic
6C11×#1441C211yesmaximal, characteristic
7C11×#1441C211yesmaximal, characteristic
8C11×#1436C211yesmaximal, characteristic
9C11×#1436C211yesmaximal, characteristic
10C11×#1436C211yesmaximal, characteristic
11C11×#1436C211yesmaximal, characteristic
12C11×#1436C211yesmaximal, characteristic
13C11×C4⋊#95C211yesmaximal, characteristic
14C11×#1434C211yesmaximal, characteristic
15C11×#1434C211yesmaximal, characteristic
16C22×C11×C4⋊C4C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C42×C11C2211yescharacteristic
23C22×C42×C11C2211yescharacteristic
24C22×C42×C11C2211yescharacteristic
25C11×#382C418yescomplemented
26C2×C11×#95C2211yescharacteristic
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2211yescharacteristic
29C2×C11×#95C2211yescharacteristic
30C2×C11×#95C2211yescharacteristic
31C2×C11×#95C2211yescharacteristic
32C2×C11×#95C2211yescharacteristic
33C2×C11×#95C2211yescharacteristic
34C2×C11×#95C2211yescharacteristic
35C2×C11×#95C2211yescharacteristic
36C2×C11×#95C2211yescharacteristic
37C2×C11×#95C2211yescharacteristic
38C2×C11×#95C2211yescharacteristic
39C2×C11×#95C2211yescharacteristic
40C2×C11×#95C2211yescharacteristic
41C2×C11×#95C2211yescharacteristic
42C2×C11×#95C2211yescharacteristic
43C2×C11×#95C2211yescharacteristic
44C2×C11×#95C2211yescharacteristic
45C2×C11×#95C2211yescharacteristic
46C2×C11×#95C2211yescharacteristic
47C2×C11×#95C2211yescharacteristic
48C2×C11×#95C2211yescharacteristic
49C2×C11×#95C2211yescharacteristic
50C2×C11×#95C2211yescharacteristic
51C2×C11×#95C2211yescharacteristic
52C23×C4×C11C2311yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C23×C4×C11C2311yescharacteristic
58C23×C4×C11C2311yescharacteristic
59C23×C4×C11C2311yescharacteristic
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C2×C11×C4⋊C4—22no—
68C2×C11×C4⋊C4—22no—
69C2×C11×C4⋊C4—22no—
70C2×C11×C4⋊C4—22no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—41no—
73C2×C11×C4⋊C4—41no—
74C2×C11×C4⋊C4—41no—
75C2×C11×C4⋊C4—41no—
76C2×C11×C4⋊C4—41no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4—41no—
79C2×C11×C4⋊C4—41no—
80C2×C11×C4⋊C4—41no—
81C2×C11×C4⋊C4—41no—
82C2×C11×C4⋊C4—41no—
83C2×C11×C4⋊C4C2×C414yes—
84C2×C11×C4⋊C4C2×C414yes—
85C2×C42×C11—22no—
86C2×C42×C11—22no—
87C2×C42×C11—22no—
88C2×C42×C11—41no—
89C2×C42×C11—41no—
90C2×C42×C11—41no—
91C2×C42×C11—41no—
92C2×C42×C11—41no—
93C2×C42×C11C2×C414yes—
94C11×#95—22no—
95C11×#95—22no—
96C11×#95—22no—
97C11×#95—22no—
98C11×#95—22no—
99C11×#95—22no—
100C11×#95—22no—
101C11×#95—41no—
102C11×#95—41no—
103C11×#95—41no—
104C11×#95—41no—
105C11×#95—41no—
106C11×#95—41no—
107C11×#95—41no—
108C11×#95—41no—
109C11×#95—41no—
110C11×#95—41no—
111C11×#95—41no—
112C11×#95—41no—
113C11×#95—41no—
114C11×#95—41no—
115C11×#95C2×C414yes—
116C11×#95C2×C414yes—
117C11×#95C2×C414yes—
118C11×#95C2×C414yes—
119C11×#95Q814yes—
120#14455C1111yesmaximal, characteristic, direct product factor, Sylow
121C24×C11C2411yescharacteristic
122C22×C4×C11—21no—
123C22×C4×C11—21no—
124C22×C4×C11—21no—
125C22×C4×C11—21no—
126C22×C4×C11—21no—
127C22×C4×C11—21no—
128C22×C4×C11—21no—
129C22×C4×C11—21no—
130C22×C4×C11—21no—
131C22×C4×C11—21no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—21no—
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×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—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—21no—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—21no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—21no—
207C22×C4×C11—21no—
208C22×C4×C11—21no—
209C22×C4×C11—21no—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11C22×C412yes—
213C22×C4×C11C22×C412yes—
214C22×C4×C11C22×C412yes—
215C22×C4×C11C22×C412yes—
216C22×C4×C11C22×C412yes—
217C22×C4×C11C22×C412yes—
218C22×C4×C11C22×C412yes—
219C22×C4×C11C2×Q812yes—
220C22×C4×C11C2×Q812yes—
221C22×C4×C11C2×Q812yes—
222C22×C4×C11#4112yes—
223C22×C4×C11#4112yes—
224C22×C4×C11#4112yes—
225C22×C4×C11#4112yes—
226C22×C4×C11#4112yes—
227C11×C4⋊C4—44no—
228C11×C4⋊C4—44no—
229C11×C4⋊C4—44no—
230C11×C4⋊C4—44no—
231C11×C4⋊C4—44no—
232C11×C4⋊C4—44no—
233C42×C11—28no—
234C42×C11—44no—
235C42×C11—44no—
236C2×#382C2×C1111yescharacteristic
237#1444C2×C1111yescharacteristic
238#1443C2×C1111yescharacteristic
239#1442C2×C1111yescharacteristic
240#1442C2×C1111yescharacteristic
241#1441C2×C1111yescharacteristic
242#1441C2×C1111yescharacteristic
243#1436C2×C1111yescharacteristic
244#1436C2×C1111yescharacteristic
245#1436C2×C1111yescharacteristic
246#1436C2×C1111yescharacteristic
247#1436C2×C1111yescharacteristic
248C4⋊#95C2×C1111yescharacteristic
249#1434C2×C1111yescharacteristic
250#1434C2×C1111yescharacteristic
251C23×C11C23×C411yescharacteristic
252C23×C11C22×Q811yescharacteristic
253C23×C11C2×#4111yescharacteristic
254C23×C11C2×#4111yescharacteristic
255C23×C11C2×#4111yescharacteristic
256C23×C11C2×#4111yescharacteristic
257C23×C11C2×#4111yescharacteristic
258C23×C11H(5,𝔽2)11yescharacteristic
259C23×C11H(5,𝔽2)11yescharacteristic
260C23×C11H(5,𝔽2)11yescharacteristic
261C23×C11H(5,𝔽2)11yescharacteristic
262C23×C11H(5,𝔽2)11yescharacteristic
263C23×C112−1+411yescharacteristic
264C23×C112−1+411yescharacteristic
265C23×C112−1+411yescharacteristic
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—22no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—41no—
315C2×C4×C11—41no—
316C2×C4×C11—41no—
317C2×C4×C11—41no—
318C2×C4×C11—41no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—41no—
333C2×C4×C11—41no—
334C2×C4×C11—41no—
335C2×C4×C11—41no—
336C2×C4×C11—41no—
337C2×C4×C11—41no—
338C2×C4×C11—41no—
339C2×C4×C11—41no—
340C2×C4×C11—41no—
341C2×C4×C11—41no—
342C2×C4×C11—41no—
343C2×C4×C11—41no—
344C2×C4×C11—41no—
345C2×C4×C11—41no—
346C2×C4×C11—41no—
347C2×C4×C11—41no—
348C2×C4×C11—41no—
349C2×C4×C11—41no—
350C2×C4×C11—41no—
351C2×C4×C11—41no—
352C2×C4×C11—41no—
353C2×C4×C11—41no—
354C2×C4×C11—41no—
355C2×C4×C11—41no—
356C2×C4×C11—41no—
357C2×C4×C11—41no—
358C2×C4×C11—41no—
359C2×C4×C11—41no—
360C2×C4×C11—41no—
361C2×C4×C11—41no—
362C2×C4×C11—41no—
363C2×C4×C11—41no—
364C2×C4×C11—41no—
365C2×C4×C11—41no—
366C2×C4×C11—41no—
367C2×C4×C11—41no—
368C2×C4×C11—41no—
369C2×C4×C11#11714yes—
370C2×C4×C11C4×Q814yes—
371C22×C4⋊C4C22×C1111yescharacteristic
372C22×C4⋊C4C22×C1111yescharacteristic
373C22×C4⋊C4C22×C1111yescharacteristic
374C22×C4⋊C4C22×C1111yescharacteristic
375C22×C4⋊C4C22×C1111yescharacteristic
376C22×C4⋊C4C22×C1111yescharacteristic
377C22×C42C22×C1111yescharacteristic
378C22×C42C22×C1111yescharacteristic
379C22×C42C22×C1111yescharacteristic
380#382C4×C1118yescomplemented
381C2×#95C22×C1111yescharacteristic
382C2×#95C22×C1111yescharacteristic
383C2×#95C22×C1111yescharacteristic
384C2×#95C22×C1111yescharacteristic
385C2×#95C22×C1111yescharacteristic
386C2×#95C22×C1111yescharacteristic
387C2×#95C22×C1111yescharacteristic
388C2×#95C22×C1111yescharacteristic
389C2×#95C22×C1111yescharacteristic
390C2×#95C22×C1111yescharacteristic
391C2×#95C22×C1111yescharacteristic
392C2×#95C22×C1111yescharacteristic
393C2×#95C22×C1111yescharacteristic
394C2×#95C22×C1111yescharacteristic
395C2×#95C22×C1111yescharacteristic
396C2×#95C22×C1111yescharacteristic
397C2×#95C22×C1111yescharacteristic
398C2×#95C22×C1111yescharacteristic
399C2×#95C22×C1111yescharacteristic
400C2×#95C22×C1111yescharacteristic
401C2×#95C22×C1111yescharacteristic
402C2×#95C22×C1111yescharacteristic
403C2×#95C22×C1111yescharacteristic
404C2×#95C22×C1111yescharacteristic
405C2×#95C22×C1111yescharacteristic
406C2×#95C22×C1111yescharacteristic
407C22×C11C2×#11711yescharacteristic
408C22×C11C2×C4×Q811yescharacteristic
409C22×C11C4×#4111yescharacteristic
410C22×C11#51811yescharacteristic
411C22×C11#52011yescharacteristic
412C22×C11#52011yescharacteristic
413C22×C11#52011yescharacteristic
414C22×C11#53811yescharacteristic
415C22×C11#53811yescharacteristic
416C22×C11#54011yescharacteristic
417C22×C11#54011yescharacteristic
418C22×C11#54111yescharacteristic
419C22×C11#54111yescharacteristic
420C22×C11#54211yescharacteristic
421C22×C11#54211yescharacteristic
422C22×C11#54211yescharacteristic
423C22×C11#54211yescharacteristic
424C22×C11#54411yescharacteristic
425C22×C11#54411yescharacteristic
426C22×C11#55111yescharacteristic
427C22×C11#55111yescharacteristic
428C22×C11#55211yescharacteristic
429C22×C11#55211yescharacteristic
430C22×C11#55211yescharacteristic
431C22×C11#55311yescharacteristic
432C22×C11#55311yescharacteristic
433C22×C11#55311yescharacteristic
434C22×C11#55411yescharacteristic
435C22×C11#55411yescharacteristic
436C22×C11#55411yescharacteristic
437C22×C11#55711yescharacteristic
438C22×C11H(3,𝔽4)11yescharacteristic
439C22×C11#56211yescharacteristic
440C22×C11#56211yescharacteristic
441C22×C11#56311yescharacteristic
442C4×C11—24no—
443C4×C11—24no—
444C4×C11—42no—
445C4×C11—42no—
446C4×C11—42no—
447C4×C11—42no—
448C4×C11—42no—
449C4×C11—42no—
450C4×C11—42no—
451C4×C11—42no—
452C4×C11—42no—
453C4×C11—81no—
454C4×C11—81no—
455C4×C11—81no—
456C4×C11—81no—
457C23×C4C23×C1111yescharacteristic
458C23×C4C23×C1111yescharacteristic
459C23×C4C23×C1111yescharacteristic
460C23×C4C23×C1111yescharacteristic
461C23×C4C23×C1111yescharacteristic
462C23×C4C23×C1111yescharacteristic
463C23×C4C23×C1111yescharacteristic
464C23×C4C23×C1111yescharacteristic
465C23×C4C23×C1111yescharacteristic
466C23×C4C23×C1111yescharacteristic
467C23×C4C23×C1111yescharacteristic
468C23×C4C23×C1111yescharacteristic
469C23×C4C23×C1111yescharacteristic
470C23×C4C23×C1111yescharacteristic
471C23×C4C23×C1111yescharacteristic
472C2×C4⋊C4—22no—
473C2×C4⋊C4—22no—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—22no—
476C2×C4⋊C4—22no—
477C2×C4⋊C4—41no—
478C2×C4⋊C4—41no—
479C2×C4⋊C4—41no—
480C2×C4⋊C4—41no—
481C2×C4⋊C4—41no—
482C2×C4⋊C4—41no—
483C2×C4⋊C4—41no—
484C2×C4⋊C4—41no—
485C2×C4⋊C4—41no—
486C2×C4⋊C4—41no—
487C2×C4⋊C4—41no—
488C2×C4⋊C4C2×C4×C1114yes—
489C2×C4⋊C4C2×C4×C1114yes—
490C2×C42—22no—
491C2×C42—22no—
492C2×C42—22no—
493C2×C42—41no—
494C2×C42—41no—
495C2×C42—41no—
496C2×C42—41no—
497C2×C42—41no—
498C2×C42C2×C4×C1114yes—
499#95—22no—
500#95—22no—
501#95—22no—
502#95—22no—
503#95—22no—
504#95—22no—
505#95—22no—
506#95—41no—
507#95—41no—
508#95—41no—
509#95—41no—
510#95—41no—
511#95—41no—
512#95—41no—
513#95—41no—
514#95—41no—
515#95—41no—
516#95—41no—
517#95—41no—
518#95—41no—
519#95—41no—
520#95C2×C4×C1114yes—
521#95C2×C4×C1114yes—
522#95C2×C4×C1114yes—
523#95C2×C4×C1114yes—
524#95Q8×C1114yes—
525C2×C11#231411yescharacteristic
526C2×C11#233011yescharacteristic
527C2×C11#233711yescharacteristic
528C2×C11#234311yescharacteristic
529C2×C11#234511yescharacteristic
530C2×C11#237011yescharacteristic
531C2×C11#237911yescharacteristic
532C2×C11#275311yescharacteristic
533C2×C11#275511yescharacteristic
534C2×C11#276111yescharacteristic
535C2×C11#276311yescharacteristic
536C2×C11#276611yescharacteristic
537C2×C11#276811yescharacteristic
538C2×C11#277211yescharacteristic
539C2×C11#277411yescharacteristic
540C24C24×C1111yescharacteristic
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—21no—
591C22×C4—21no—
592C22×C4—21no—
593C22×C4—21no—
594C22×C4—21no—
595C22×C4—21no—
596C22×C4—21no—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—21no—
600C22×C4—21no—
601C22×C4—21no—
602C22×C4—21no—
603C22×C4—21no—
604C22×C4—21no—
605C22×C4—21no—
606C22×C4—21no—
607C22×C4—21no—
608C22×C4—21no—
609C22×C4—21no—
610C22×C4—21no—
611C22×C4—21no—
612C22×C4—21no—
613C22×C4—21no—
614C22×C4—21no—
615C22×C4—21no—
616C22×C4—21no—
617C22×C4—21no—
618C22×C4—21no—
619C22×C4—21no—
620C22×C4—21no—
621C22×C4—21no—
622C22×C4—21no—
623C22×C4—21no—
624C22×C4—21no—
625C22×C4—21no—
626C22×C4—21no—
627C22×C4—21no—
628C22×C4—21no—
629C22×C4—21no—
630C22×C4—21no—
631C22×C4C22×C4×C1112yes—
632C22×C4C22×C4×C1112yes—
633C22×C4C22×C4×C1112yes—
634C22×C4C22×C4×C1112yes—
635C22×C4C22×C4×C1112yes—
636C22×C4C22×C4×C1112yes—
637C22×C4C22×C4×C1112yes—
638C22×C4C2×Q8×C1112yes—
639C22×C4C2×Q8×C1112yes—
640C22×C4C2×Q8×C1112yes—
641C22×C4C11×#4112yes—
642C22×C4C11×#4112yes—
643C22×C4C11×#4112yes—
644C22×C4C11×#4112yes—
645C22×C4C11×#4112yes—
646C4⋊C4—44no—
647C4⋊C4—44no—
648C4⋊C4—44no—
649C4⋊C4—44no—
650C4⋊C4—44no—
651C4⋊C4—44no—
652C42—28no—
653C42—44no—
654C42—44no—
655C11#1445511yescharacteristic, direct product factor, Sylow
656C23C23×C4×C1111yescharacteristic
657C23C22×Q8×C1111yescharacteristic
658C23C2×C11×#4111yescharacteristic
659C23C2×C11×#4111yescharacteristic
660C23C2×C11×#4111yescharacteristic
661C23C2×C11×#4111yescharacteristic
662C23C2×C11×#4111yescharacteristic
663C23C11×H(5,𝔽2)11yescharacteristic
664C23C11×H(5,𝔽2)11yescharacteristic
665C23C11×H(5,𝔽2)11yescharacteristic
666C23C11×H(5,𝔽2)11yescharacteristic
667C23C11×H(5,𝔽2)11yescharacteristic
668C23C11×2−1+411yescharacteristic
669C23C11×2−1+411yescharacteristic
670C23C11×2−1+411yescharacteristic
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—22no—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—41no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—41no—
729C2×C4—41no—
730C2×C4—41no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—41no—
735C2×C4—41no—
736C2×C4—41no—
737C2×C4—41no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—41no—
741C2×C4—41no—
742C2×C4—41no—
743C2×C4—41no—
744C2×C4—41no—
745C2×C4—41no—
746C2×C4—41no—
747C2×C4—41no—
748C2×C4—41no—
749C2×C4—41no—
750C2×C4—41no—
751C2×C4—41no—
752C2×C4—41no—
753C2×C4—41no—
754C2×C4—41no—
755C2×C4—41no—
756C2×C4—41no—
757C2×C4—41no—
758C2×C4—41no—
759C2×C4—41no—
760C2×C4—41no—
761C2×C4—41no—
762C2×C4—41no—
763C2×C4—41no—
764C2×C4—41no—
765C2×C4—41no—
766C2×C4—41no—
767C2×C4—41no—
768C2×C4—41no—
769C2×C4—41no—
770C2×C4—41no—
771C2×C4—41no—
772C2×C4—41no—
773C2×C4—41no—
774C2×C4C11×#11714yes—
775C2×C4C4×Q8×C1114yes—
776C22C2×C11×#11711yescharacteristic
777C22C2×C4×Q8×C1111yescharacteristic
778C22C4×C11×#4111yescharacteristic
779C22C11×#51811yescharacteristic
780C22C11×#52011yescharacteristic
781C22C11×#52011yescharacteristic
782C22C11×#52011yescharacteristic
783C22C11×#53811yescharacteristic
784C22C11×#53811yescharacteristic
785C22C11×#54011yescharacteristic
786C22C11×#54011yescharacteristic
787C22C11×#54111yescharacteristic
788C22C11×#54111yescharacteristic
789C22C11×#54211yescharacteristic
790C22C11×#54211yescharacteristic
791C22C11×#54211yescharacteristic
792C22C11×#54211yescharacteristic
793C22C11×#54411yescharacteristic
794C22C11×#54411yescharacteristic
795C22C11×#55111yescharacteristic
796C22C11×#55111yescharacteristic
797C22C11×#55211yescharacteristic
798C22C11×#55211yescharacteristic
799C22C11×#55211yescharacteristic
800C22C11×#55311yescharacteristic
801C22C11×#55311yescharacteristic
802C22C11×#55311yescharacteristic
803C22C11×#55411yescharacteristic
804C22C11×#55411yescharacteristic
805C22C11×#55411yescharacteristic
806C22C11×#55711yescharacteristic
807C22C11×H(3,𝔽4)11yescharacteristic
808C22C11×#56211yescharacteristic
809C22C11×#56211yescharacteristic
810C22C11×#56311yescharacteristic
811C4—24no—
812C4—24no—
813C4—42no—
814C4—42no—
815C4—42no—
816C4—42no—
817C4—42no—
818C4—42no—
819C4—42no—
820C4—42no—
821C4—42no—
822C4—81no—
823C4—81no—
824C4—81no—
825C4—81no—
826C2C11×#231411yescharacteristic
827C2C11×#233011yescharacteristic
828C2C11×#233711yescharacteristic
829C2C11×#234311yescharacteristic
830C2C11×#234511yescharacteristic
831C2C11×#237011yescharacteristic
832C2C11×#237911yescharacteristic
833C2C11×#275311yescharacteristic
834C2C11×#275511yescharacteristic
835C2C11×#276111yescharacteristic
836C2C11×#276311yescharacteristic
837C2C11×#276611yescharacteristic
838C2C11×#276811yescharacteristic
839C2C11×#277211yescharacteristic
840C2C11×#277411yescharacteristic
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
25. C11×#382C4semidirect
120. #14455C11direct (N × H)
380. #382C4×C11semidirect
655. C11#14455direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3822
C11×#14442
C11×#14432
C11×#14422
C11×#14412
C11×#14362
C11×C4⋊#952
C11×#14342
#1445511