Finite Group Databasebeta

← C11×#14509 #14591702

Subgroups — C11×#14509 #14591702

Order 2816.

1406 conjugacy classes of subgroups.

The subgroup lattice has 978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#388C211yesmaximal, characteristic
2C11×#1445C211yesmaximal, characteristic, complemented
3C11×#1443C211yesmaximal, characteristic, complemented
4C11×#1443C211yesmaximal, characteristic, complemented
5C11×#1442C211yesmaximal, characteristic, complemented
6C11×#1440C211yesmaximal, characteristic
7C11×#1439C211yesmaximal, characteristic
8C11×#1437C211yesmaximal, characteristic
9C11×#1436C211yesmaximal, characteristic, complemented
10C11×#1436C211yesmaximal, characteristic, complemented
11C11×#1434C211yesmaximal, characteristic, complemented
12C11×#1434C211yesmaximal, characteristic, complemented
13C11×C22⋊#95C211yesmaximal, characteristic
14C11×C22⋊#95C211yesmaximal, characteristic
15C11×C22⋊#95C211yesmaximal, characteristic
16C24×C4×C11C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C22⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2211yescharacteristic
25C22×C42×C11C2211yescharacteristic
26C22×C42×C11C2211yescharacteristic
27C11×#388C418yescomplemented
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
52C25×C11C2311yescharacteristic
53C23×C4×C11—22no—
54C23×C4×C11—22no—
55C23×C4×C11—22no—
56C23×C4×C11—41no—
57C23×C4×C11—41no—
58C23×C4×C11—41no—
59C23×C4×C11—41no—
60C23×C4×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2311yescharacteristic
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C2×C11×C4⋊C4—22no—
75C2×C11×C4⋊C4—41no—
76C2×C11×C4⋊C4—41no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4—41no—
79C2×C11×C4⋊C4C2×C414yescomplemented
80C2×C11×C22⋊C4—22no—
81C2×C11×C22⋊C4—22no—
82C2×C11×C22⋊C4—22no—
83C2×C11×C22⋊C4—22no—
84C2×C11×C22⋊C4—22no—
85C2×C11×C22⋊C4—22no—
86C2×C11×C22⋊C4—22no—
87C2×C11×C22⋊C4—41no—
88C2×C11×C22⋊C4—41no—
89C2×C11×C22⋊C4—41no—
90C2×C11×C22⋊C4—41no—
91C2×C11×C22⋊C4—41no—
92C2×C11×C22⋊C4—41no—
93C2×C11×C22⋊C4—41no—
94C2×C11×C22⋊C4—41no—
95C2×C11×C22⋊C4C2×C414yes—
96C2×C11×C22⋊C4C2×C414yes—
97C2×C11×C22⋊C4C2×C414yes—
98C2×C42×C11—41no—
99C2×C42×C11—41no—
100C2×C42×C11—41no—
101C2×C42×C11—41no—
102C2×C42×C11—41no—
103C2×C42×C11C2×C414yescomplemented
104C11×#95—22no—
105C11×#95—22no—
106C11×#95—22no—
107C11×#95—22no—
108C11×#95—22no—
109C11×#95—22no—
110C11×#95—22no—
111C11×#95—41no—
112C11×#95—41no—
113C11×#95—41no—
114C11×#95—41no—
115C11×#95—41no—
116C11×#95—41no—
117C11×#95—41no—
118C11×#95—41no—
119C11×#95—41no—
120C11×#95—41no—
121C11×#95—41no—
122C11×#95—41no—
123C11×#95—41no—
124C11×#95—41no—
125C11×#95—41no—
126C11×#95C2×C414yescomplemented
127C11×#95C2×C414yescomplemented
128#14509C1111yesmaximal, characteristic, direct product factor, Sylow
129C24×C11—21no—
130C24×C11—21no—
131C24×C11—21no—
132C24×C11—21no—
133C24×C11—21no—
134C24×C11—21no—
135C24×C11—21no—
136C24×C11—21no—
137C24×C11—21no—
138C24×C11—21no—
139C24×C11—21no—
140C24×C11—21no—
141C24×C11C22×C412yes—
142C24×C11#4112yes—
143C24×C11#4112yes—
144C24×C11C2411yescharacteristic
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×C11—21no—
213C22×C4×C11—21no—
214C22×C4×C11—21no—
215C22×C4×C11—21no—
216C22×C4×C11—21no—
217C22×C4×C11—21no—
218C22×C4×C11—21no—
219C22×C4×C11—21no—
220C22×C4×C11—21no—
221C22×C4×C11—21no—
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11—21no—
225C22×C4×C11—21no—
226C22×C4×C11—21no—
227C22×C4×C11—21no—
228C22×C4×C11—21no—
229C22×C4×C11—21no—
230C22×C4×C11—21no—
231C22×C4×C11—21no—
232C22×C4×C11—21no—
233C22×C4×C11—44no—
234C22×C4×C11—44no—
235C22×C4×C11—44no—
236C22×C4×C11—44no—
237C22×C4×C11—44no—
238C22×C4×C11—44no—
239C22×C4×C11—44no—
240C22×C4×C11C22×C412yes—
241C22×C4×C11C22×C412yes—
242C22×C4×C11C22×C412yes—
243C22×C4×C11C22×C412yes—
244C22×C4×C11C22×C412yes—
245C22×C4×C11C22×C412yes—
246C22×C4×C11#4112yes—
247C22×C4×C11#4112yes—
248C22×C4×C11#4112yes—
249C22×C4×C11#4112yes—
250C11×C4⋊C4—44no—
251C11×C4⋊C4—44no—
252C11×C22⋊C4—28no—
253C11×C22⋊C4—44no—
254C11×C22⋊C4—44no—
255C11×C22⋊C4—44no—
256C11×C22⋊C4—44no—
257C11×C22⋊C4—44no—
258C42×C11—44no—
259C42×C11—44no—
260C2×#388C2×C1111yescharacteristic
261#1445C2×C1111yescharacteristic, complemented
262#1443C2×C1111yescharacteristic, complemented
263#1443C2×C1111yescharacteristic, complemented
264#1442C2×C1111yescharacteristic, complemented
265#1440C2×C1111yescharacteristic
266#1439C2×C1111yescharacteristic
267#1437C2×C1111yescharacteristic
268#1436C2×C1111yescharacteristic, complemented
269#1436C2×C1111yescharacteristic, complemented
270#1434C2×C1111yescharacteristic, complemented
271#1434C2×C1111yescharacteristic, complemented
272C22⋊#95C2×C1111yescharacteristic
273C22⋊#95C2×C1111yescharacteristic
274C22⋊#95C2×C1111yescharacteristic
275C23×C11—22no—
276C23×C11—22no—
277C23×C11—22no—
278C23×C11—22no—
279C23×C11—22no—
280C23×C11—22no—
281C23×C11—22no—
282C23×C11—22no—
283C23×C11—22no—
284C23×C11—22no—
285C23×C11—22no—
286C23×C11—22no—
287C23×C11—22no—
288C23×C11—22no—
289C23×C11—22no—
290C23×C11—22no—
291C23×C11—22no—
292C23×C11—22no—
293C23×C11—41no—
294C23×C11—41no—
295C23×C11—41no—
296C23×C11—41no—
297C23×C11—41no—
298C23×C11—41no—
299C23×C11—41no—
300C23×C11—41no—
301C23×C11—41no—
302C23×C11—41no—
303C23×C11—41no—
304C23×C11—41no—
305C23×C11—41no—
306C23×C11—41no—
307C23×C11—41no—
308C23×C11—41no—
309C23×C11#11714yes—
310C23×C11C23×C411yescharacteristic
311C23×C11C2×#4111yescharacteristic
312C23×C11C2×#4111yescharacteristic
313C23×C11C2×#4111yescharacteristic
314C23×C11C2×#4111yescharacteristic
315C23×C11C2×#4111yescharacteristic
316C23×C11C2×#4111yescharacteristic
317C23×C11H(5,𝔽2)11yescharacteristic
318C23×C11H(5,𝔽2)11yescharacteristic
319C23×C11H(5,𝔽2)11yescharacteristic
320C23×C11H(5,𝔽2)11yescharacteristic
321C23×C11H(5,𝔽2)11yescharacteristic
322C23×C11H(5,𝔽2)11yescharacteristic
323C23×C112−1+411yescharacteristic
324C23×C112−1+411yescharacteristic
325C2×C4×C11—22no—
326C2×C4×C11—22no—
327C2×C4×C11—22no—
328C2×C4×C11—22no—
329C2×C4×C11—22no—
330C2×C4×C11—22no—
331C2×C4×C11—22no—
332C2×C4×C11—22no—
333C2×C4×C11—22no—
334C2×C4×C11—22no—
335C2×C4×C11—22no—
336C2×C4×C11—22no—
337C2×C4×C11—22no—
338C2×C4×C11—22no—
339C2×C4×C11—22no—
340C2×C4×C11—22no—
341C2×C4×C11—22no—
342C2×C4×C11—22no—
343C2×C4×C11—22no—
344C2×C4×C11—22no—
345C2×C4×C11—22no—
346C2×C4×C11—22no—
347C2×C4×C11—22no—
348C2×C4×C11—22no—
349C2×C4×C11—22no—
350C2×C4×C11—22no—
351C2×C4×C11—22no—
352C2×C4×C11—22no—
353C2×C4×C11—22no—
354C2×C4×C11—22no—
355C2×C4×C11—416no—
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—41no—
370C2×C4×C11—41no—
371C2×C4×C11—41no—
372C2×C4×C11—41no—
373C2×C4×C11—41no—
374C2×C4×C11—41no—
375C2×C4×C11—41no—
376C2×C4×C11—41no—
377C2×C4×C11—41no—
378C2×C4×C11—41no—
379C2×C4×C11—41no—
380C2×C4×C11—41no—
381C2×C4×C11—41no—
382C2×C4×C11—41no—
383C2×C4×C11—41no—
384C2×C4×C11—41no—
385C2×C4×C11—41no—
386C2×C4×C11—41no—
387C2×C4×C11—41no—
388C2×C4×C11—41no—
389C2×C4×C11—41no—
390C2×C4×C11—41no—
391C2×C4×C11—41no—
392C2×C4×C11—41no—
393C2×C4×C11—41no—
394C2×C4×C11—41no—
395C2×C4×C11—41no—
396C2×C4×C11—41no—
397C2×C4×C11—41no—
398C2×C4×C11—41no—
399C2×C4×C11—41no—
400C2×C4×C11—41no—
401C2×C4×C11—41no—
402C2×C4×C11—41no—
403C2×C4×C11—41no—
404C2×C4×C11—41no—
405C2×C4×C11—41no—
406C2×C4×C11—41no—
407C2×C4×C11—41no—
408C2×C4×C11—41no—
409C2×C4×C11—41no—
410C2×C4×C11—41no—
411C2×C4×C11—41no—
412C2×C4×C11—41no—
413C2×C4×C11—41no—
414C2×C4×C11—41no—
415C2×C4×C11—41no—
416C2×C4×C11—41no—
417C2×C4×C11—41no—
418C2×C4×C11—41no—
419C2×C4×C11—41no—
420C2×C4×C11—41no—
421C2×C4×C11—41no—
422C2×C4×C11—41no—
423C2×C4×C11—41no—
424C24×C4C22×C1111yescharacteristic
425C22×C4⋊C4C22×C1111yescharacteristic
426C22×C4⋊C4C22×C1111yescharacteristic
427C22×C22⋊C4C22×C1111yescharacteristic
428C22×C22⋊C4C22×C1111yescharacteristic
429C22×C22⋊C4C22×C1111yescharacteristic
430C22×C22⋊C4C22×C1111yescharacteristic
431C22×C22⋊C4C22×C1111yescharacteristic
432C22×C22⋊C4C22×C1111yescharacteristic
433C22×C42C22×C1111yescharacteristic
434C22×C42C22×C1111yescharacteristic
435#388C4×C1118yescomplemented
436C2×#95C22×C1111yescharacteristic
437C2×#95C22×C1111yescharacteristic
438C2×#95C22×C1111yescharacteristic
439C2×#95C22×C1111yescharacteristic
440C2×#95C22×C1111yescharacteristic
441C2×#95C22×C1111yescharacteristic
442C2×#95C22×C1111yescharacteristic
443C2×#95C22×C1111yescharacteristic
444C2×#95C22×C1111yescharacteristic
445C2×#95C22×C1111yescharacteristic
446C2×#95C22×C1111yescharacteristic
447C2×#95C22×C1111yescharacteristic
448C2×#95C22×C1111yescharacteristic
449C2×#95C22×C1111yescharacteristic
450C2×#95C22×C1111yescharacteristic
451C2×#95C22×C1111yescharacteristic
452C2×#95C22×C1111yescharacteristic
453C2×#95C22×C1111yescharacteristic
454C2×#95C22×C1111yescharacteristic
455C2×#95C22×C1111yescharacteristic
456C2×#95C22×C1111yescharacteristic
457C2×#95C22×C1111yescharacteristic
458C2×#95C22×C1111yescharacteristic
459C2×#95C22×C1111yescharacteristic
460C22×C11—24no—
461C22×C11—24no—
462C22×C11—24no—
463C22×C11—42no—
464C22×C11—42no—
465C22×C11—42no—
466C22×C11—42no—
467C22×C11—42no—
468C22×C11—42no—
469C22×C11—42no—
470C22×C11—42no—
471C22×C11—42no—
472C22×C11—42no—
473C22×C11—42no—
474C22×C11—42no—
475C22×C11C2×#11711yescharacteristic
476C22×C11C4×#4111yescharacteristic
477C22×C11C4×#4111yescharacteristic
478C22×C11#51811yescharacteristic
479C22×C11#51811yescharacteristic
480C22×C11#52011yescharacteristic
481C22×C11#52011yescharacteristic
482C22×C11#53811yescharacteristic
483C22×C11#53811yescharacteristic
484C22×C11#53811yescharacteristic
485C22×C11#53811yescharacteristic
486C22×C11#53811yescharacteristic
487C22×C11#53911yescharacteristic
488C22×C11#53911yescharacteristic
489C22×C11#53911yescharacteristic
490C22×C11#54111yescharacteristic
491C22×C11#54211yescharacteristic
492C22×C11#54211yescharacteristic
493C22×C11#54211yescharacteristic
494C22×C11#55111yescharacteristic
495C22×C11#55111yescharacteristic
496C22×C11#55111yescharacteristic
497C22×C11#55111yescharacteristic
498C22×C11#55111yescharacteristic
499C22×C11#55211yescharacteristic
500C22×C11#55211yescharacteristic
501C22×C11#55311yescharacteristic
502C22×C11#55311yescharacteristic
503C22×C11#55311yescharacteristic
504C22×C11#55311yescharacteristic
505C22×C11#55911yescharacteristic
506C22×C11#56011yescharacteristic
507C22×C11#56011yescharacteristic
508C22×C11#56211yescharacteristic
509C22×C11#56211yescharacteristic
510C4×C11—42no—
511C4×C11—42no—
512C4×C11—42no—
513C4×C11—42no—
514C4×C11—42no—
515C4×C11—42no—
516C4×C11—42no—
517C4×C11—42no—
518C4×C11—42no—
519C4×C11—42no—
520C4×C11—81no—
521C4×C11—81no—
522C4×C11—81no—
523C4×C11—81no—
524C25C23×C1111yescharacteristic
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—41no—
529C23×C4—41no—
530C23×C4—41no—
531C23×C4—41no—
532C23×C4C23×C1111yescharacteristic
533C23×C4C23×C1111yescharacteristic
534C23×C4C23×C1111yescharacteristic
535C23×C4C23×C1111yescharacteristic
536C23×C4C23×C1111yescharacteristic
537C23×C4C23×C1111yescharacteristic
538C23×C4C23×C1111yescharacteristic
539C23×C4C23×C1111yescharacteristic
540C23×C4C23×C1111yescharacteristic
541C23×C4C23×C1111yescharacteristic
542C23×C4C23×C1111yescharacteristic
543C23×C4C23×C1111yescharacteristic
544C23×C4C23×C1111yescharacteristic
545C23×C4C23×C1111yescharacteristic
546C2×C4⋊C4—22no—
547C2×C4⋊C4—41no—
548C2×C4⋊C4—41no—
549C2×C4⋊C4—41no—
550C2×C4⋊C4—41no—
551C2×C4⋊C4C2×C4×C1114yescomplemented
552C2×C22⋊C4—22no—
553C2×C22⋊C4—22no—
554C2×C22⋊C4—22no—
555C2×C22⋊C4—22no—
556C2×C22⋊C4—22no—
557C2×C22⋊C4—22no—
558C2×C22⋊C4—22no—
559C2×C22⋊C4—41no—
560C2×C22⋊C4—41no—
561C2×C22⋊C4—41no—
562C2×C22⋊C4—41no—
563C2×C22⋊C4—41no—
564C2×C22⋊C4—41no—
565C2×C22⋊C4—41no—
566C2×C22⋊C4—41no—
567C2×C22⋊C4C2×C4×C1114yes—
568C2×C22⋊C4C2×C4×C1114yes—
569C2×C22⋊C4C2×C4×C1114yes—
570C2×C42—41no—
571C2×C42—41no—
572C2×C42—41no—
573C2×C42—41no—
574C2×C42—41no—
575C2×C42C2×C4×C1114yescomplemented
576#95—22no—
577#95—22no—
578#95—22no—
579#95—22no—
580#95—22no—
581#95—22no—
582#95—22no—
583#95—41no—
584#95—41no—
585#95—41no—
586#95—41no—
587#95—41no—
588#95—41no—
589#95—41no—
590#95—41no—
591#95—41no—
592#95—41no—
593#95—41no—
594#95—41no—
595#95—41no—
596#95—41no—
597#95—41no—
598#95C2×C4×C1114yescomplemented
599#95C2×C4×C1114yescomplemented
600C2×C11—44no—
601C2×C11#231811yescharacteristic
602C2×C11#233411yescharacteristic
603C2×C11#233711yescharacteristic
604C2×C11#234311yescharacteristic
605C2×C11#235311yescharacteristic
606C2×C11#237411yescharacteristic
607C2×C11#237711yescharacteristic
608C2×C11#273511yescharacteristic
609C2×C11#273911yescharacteristic
610C2×C11#274611yescharacteristic
611C2×C11#274711yescharacteristic
612C2×C11#275111yescharacteristic
613C2×C11#277811yescharacteristic
614C2×C11#277911yescharacteristic
615C2×C11#279611yescharacteristic
616C24—21no—
617C24—21no—
618C24—21no—
619C24—21no—
620C24—21no—
621C24—21no—
622C24—21no—
623C24—21no—
624C24—21no—
625C24—21no—
626C24—21no—
627C24—21no—
628C24C22×C4×C1112yes—
629C24C11×#4112yes—
630C24C11×#4112yes—
631C24C24×C1111yescharacteristic
632C22×C4—21no—
633C22×C4—21no—
634C22×C4—21no—
635C22×C4—21no—
636C22×C4—21no—
637C22×C4—21no—
638C22×C4—21no—
639C22×C4—21no—
640C22×C4—21no—
641C22×C4—21no—
642C22×C4—21no—
643C22×C4—21no—
644C22×C4—21no—
645C22×C4—21no—
646C22×C4—21no—
647C22×C4—21no—
648C22×C4—21no—
649C22×C4—21no—
650C22×C4—21no—
651C22×C4—21no—
652C22×C4—21no—
653C22×C4—21no—
654C22×C4—21no—
655C22×C4—21no—
656C22×C4—21no—
657C22×C4—21no—
658C22×C4—21no—
659C22×C4—21no—
660C22×C4—21no—
661C22×C4—21no—
662C22×C4—21no—
663C22×C4—21no—
664C22×C4—21no—
665C22×C4—21no—
666C22×C4—21no—
667C22×C4—21no—
668C22×C4—21no—
669C22×C4—21no—
670C22×C4—21no—
671C22×C4—21no—
672C22×C4—21no—
673C22×C4—21no—
674C22×C4—21no—
675C22×C4—21no—
676C22×C4—21no—
677C22×C4—21no—
678C22×C4—21no—
679C22×C4—21no—
680C22×C4—21no—
681C22×C4—21no—
682C22×C4—21no—
683C22×C4—21no—
684C22×C4—21no—
685C22×C4—21no—
686C22×C4—21no—
687C22×C4—21no—
688C22×C4—21no—
689C22×C4—21no—
690C22×C4—21no—
691C22×C4—21no—
692C22×C4—21no—
693C22×C4—21no—
694C22×C4—21no—
695C22×C4—21no—
696C22×C4—21no—
697C22×C4—21no—
698C22×C4—21no—
699C22×C4—21no—
700C22×C4—21no—
701C22×C4—21no—
702C22×C4—21no—
703C22×C4—21no—
704C22×C4—21no—
705C22×C4—21no—
706C22×C4—21no—
707C22×C4—21no—
708C22×C4—21no—
709C22×C4—21no—
710C22×C4—21no—
711C22×C4—21no—
712C22×C4—21no—
713C22×C4—21no—
714C22×C4—21no—
715C22×C4—21no—
716C22×C4—21no—
717C22×C4—21no—
718C22×C4—21no—
719C22×C4—21no—
720C22×C4—44no—
721C22×C4—44no—
722C22×C4—44no—
723C22×C4—44no—
724C22×C4—44no—
725C22×C4—44no—
726C22×C4—44no—
727C22×C4C22×C4×C1112yes—
728C22×C4C22×C4×C1112yes—
729C22×C4C22×C4×C1112yes—
730C22×C4C22×C4×C1112yes—
731C22×C4C22×C4×C1112yes—
732C22×C4C22×C4×C1112yes—
733C22×C4C11×#4112yes—
734C22×C4C11×#4112yes—
735C22×C4C11×#4112yes—
736C22×C4C11×#4112yes—
737C4⋊C4—44no—
738C4⋊C4—44no—
739C22⋊C4—28no—
740C22⋊C4—44no—
741C22⋊C4—44no—
742C22⋊C4—44no—
743C22⋊C4—44no—
744C22⋊C4—44no—
745C42—44no—
746C42—44no—
747C11#1450911yescharacteristic, direct product factor, Sylow
748C23—22no—
749C23—22no—
750C23—22no—
751C23—22no—
752C23—22no—
753C23—22no—
754C23—22no—
755C23—22no—
756C23—22no—
757C23—22no—
758C23—22no—
759C23—22no—
760C23—22no—
761C23—22no—
762C23—22no—
763C23—22no—
764C23—22no—
765C23—22no—
766C23—41no—
767C23—41no—
768C23—41no—
769C23—41no—
770C23—41no—
771C23—41no—
772C23—41no—
773C23—41no—
774C23—41no—
775C23—41no—
776C23—41no—
777C23—41no—
778C23—41no—
779C23—41no—
780C23—41no—
781C23—41no—
782C23C11×#11714yes—
783C23C23×C4×C1111yescharacteristic
784C23C2×C11×#4111yescharacteristic
785C23C2×C11×#4111yescharacteristic
786C23C2×C11×#4111yescharacteristic
787C23C2×C11×#4111yescharacteristic
788C23C2×C11×#4111yescharacteristic
789C23C2×C11×#4111yescharacteristic
790C23C11×H(5,𝔽2)11yescharacteristic
791C23C11×H(5,𝔽2)11yescharacteristic
792C23C11×H(5,𝔽2)11yescharacteristic
793C23C11×H(5,𝔽2)11yescharacteristic
794C23C11×H(5,𝔽2)11yescharacteristic
795C23C11×H(5,𝔽2)11yescharacteristic
796C23C11×2−1+411yescharacteristic
797C23C11×2−1+411yescharacteristic
798C2×C4—22no—
799C2×C4—22no—
800C2×C4—22no—
801C2×C4—22no—
802C2×C4—22no—
803C2×C4—22no—
804C2×C4—22no—
805C2×C4—22no—
806C2×C4—22no—
807C2×C4—22no—
808C2×C4—22no—
809C2×C4—22no—
810C2×C4—22no—
811C2×C4—22no—
812C2×C4—22no—
813C2×C4—22no—
814C2×C4—22no—
815C2×C4—22no—
816C2×C4—22no—
817C2×C4—22no—
818C2×C4—22no—
819C2×C4—22no—
820C2×C4—22no—
821C2×C4—22no—
822C2×C4—22no—
823C2×C4—22no—
824C2×C4—22no—
825C2×C4—22no—
826C2×C4—22no—
827C2×C4—22no—
828C2×C4—416no—
829C2×C4—41no—
830C2×C4—41no—
831C2×C4—41no—
832C2×C4—41no—
833C2×C4—41no—
834C2×C4—41no—
835C2×C4—41no—
836C2×C4—41no—
837C2×C4—41no—
838C2×C4—41no—
839C2×C4—41no—
840C2×C4—41no—
841C2×C4—41no—
842C2×C4—41no—
843C2×C4—41no—
844C2×C4—41no—
845C2×C4—41no—
846C2×C4—41no—
847C2×C4—41no—
848C2×C4—41no—
849C2×C4—41no—
850C2×C4—41no—
851C2×C4—41no—
852C2×C4—41no—
853C2×C4—41no—
854C2×C4—41no—
855C2×C4—41no—
856C2×C4—41no—
857C2×C4—41no—
858C2×C4—41no—
859C2×C4—41no—
860C2×C4—41no—
861C2×C4—41no—
862C2×C4—41no—
863C2×C4—41no—
864C2×C4—41no—
865C2×C4—41no—
866C2×C4—41no—
867C2×C4—41no—
868C2×C4—41no—
869C2×C4—41no—
870C2×C4—41no—
871C2×C4—41no—
872C2×C4—41no—
873C2×C4—41no—
874C2×C4—41no—
875C2×C4—41no—
876C2×C4—41no—
877C2×C4—41no—
878C2×C4—41no—
879C2×C4—41no—
880C2×C4—41no—
881C2×C4—41no—
882C2×C4—41no—
883C2×C4—41no—
884C2×C4—41no—
885C2×C4—41no—
886C2×C4—41no—
887C2×C4—41no—
888C2×C4—41no—
889C2×C4—41no—
890C2×C4—41no—
891C2×C4—41no—
892C2×C4—41no—
893C2×C4—41no—
894C2×C4—41no—
895C2×C4—41no—
896C2×C4—41no—
897C22—24no—
898C22—24no—
899C22—24no—
900C22—42no—
901C22—42no—
902C22—42no—
903C22—42no—
904C22—42no—
905C22—42no—
906C22—42no—
907C22—42no—
908C22—42no—
909C22—42no—
910C22—42no—
911C22—42no—
912C22C2×C11×#11711yescharacteristic
913C22C4×C11×#4111yescharacteristic
914C22C4×C11×#4111yescharacteristic
915C22C11×#51811yescharacteristic
916C22C11×#51811yescharacteristic
917C22C11×#52011yescharacteristic
918C22C11×#52011yescharacteristic
919C22C11×#53811yescharacteristic
920C22C11×#53811yescharacteristic
921C22C11×#53811yescharacteristic
922C22C11×#53811yescharacteristic
923C22C11×#53811yescharacteristic
924C22C11×#53911yescharacteristic
925C22C11×#53911yescharacteristic
926C22C11×#53911yescharacteristic
927C22C11×#54111yescharacteristic
928C22C11×#54211yescharacteristic
929C22C11×#54211yescharacteristic
930C22C11×#54211yescharacteristic
931C22C11×#55111yescharacteristic
932C22C11×#55111yescharacteristic
933C22C11×#55111yescharacteristic
934C22C11×#55111yescharacteristic
935C22C11×#55111yescharacteristic
936C22C11×#55211yescharacteristic
937C22C11×#55211yescharacteristic
938C22C11×#55311yescharacteristic
939C22C11×#55311yescharacteristic
940C22C11×#55311yescharacteristic
941C22C11×#55311yescharacteristic
942C22C11×#55911yescharacteristic
943C22C11×#56011yescharacteristic
944C22C11×#56011yescharacteristic
945C22C11×#56211yescharacteristic
946C22C11×#56211yescharacteristic
947C4—42no—
948C4—42no—
949C4—42no—
950C4—42no—
951C4—42no—
952C4—42no—
953C4—42no—
954C4—42no—
955C4—42no—
956C4—42no—
957C4—81no—
958C4—81no—
959C4—81no—
960C4—81no—
961C2—44no—
962C2C11×#231811yescharacteristic
963C2C11×#233411yescharacteristic
964C2C11×#233711yescharacteristic
965C2C11×#234311yescharacteristic
966C2C11×#235311yescharacteristic
967C2C11×#237411yescharacteristic
968C2C11×#237711yescharacteristic
969C2C11×#273511yescharacteristic
970C2C11×#273911yescharacteristic
971C2C11×#274611yescharacteristic
972C2C11×#274711yescharacteristic
973C2C11×#275111yescharacteristic
974C2C11×#277811yescharacteristic
975C2C11×#277911yescharacteristic
976C2C11×#279611yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC24C24×C11
prime radicalC25×C11C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#1445C2semidirect
3. C11×#1443C2semidirect
4. C11×#1443C2semidirect
5. C11×#1442C2semidirect
9. C11×#1436C2semidirect
10. C11×#1436C2semidirect
11. C11×#1434C2semidirect
12. C11×#1434C2semidirect
27. C11×#388C4semidirect
79. C2×C11×C4⋊C4C2×C4semidirect
103. C2×C42×C11C2×C4semidirect
126. C11×#95C2×C4semidirect
127. C11×#95C2×C4semidirect
128. #14509C11direct (N × H)
261. #1445C2×C11semidirect
262. #1443C2×C11semidirect
263. #1443C2×C11semidirect
264. #1442C2×C11semidirect
268. #1436C2×C11semidirect
269. #1436C2×C11semidirect
270. #1434C2×C11semidirect
271. #1434C2×C11semidirect
435. #388C4×C11semidirect
551. C2×C4⋊C4C2×C4×C11semidirect
575. C2×C42C2×C4×C11semidirect
598. #95C2×C4×C11semidirect
599. #95C2×C4×C11semidirect
747. C11#14509direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3882
C11×#14452
C11×#14432
C11×#14422
C11×#14402
C11×#14392
C11×#14372
C11×#14362
C11×#14342
C11×C22⋊#952
#1450911