Finite Group Databasebeta

← C11×#16283 #14593476

Subgroups — C11×#16283 #14593476

Order 2816.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#394C211yesmaximal, characteristic, complemented
2C2×C11×#394C211yesmaximal, characteristic, complemented
3C2×C11×#394C211yesmaximal, characteristic, complemented
4C2×C11×#392C211yesmaximal, characteristic
5C2×C11×#386C211yesmaximal, characteristic, complemented
6C2×C11×#386C211yesmaximal, characteristic, complemented
7C11×#1445C211yesmaximal, characteristic, complemented
8C11×#1441C211yesmaximal, characteristic, complemented
9C11×#1440C211yesmaximal, characteristic, complemented
10C11×#1440C211yesmaximal, characteristic, complemented
11C11×#1439C211yesmaximal, characteristic, complemented
12C11×#1439C211yesmaximal, characteristic, complemented
13C11×#1439C211yesmaximal, characteristic, complemented
14C11×#1438C211yesmaximal, characteristic, complemented
15C11×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C11C2211yescharacteristic
17C23×D4×C11C2211yescharacteristic
18C23×D4×C11C2211yescharacteristic
19C24×C4×C11C2211yescharacteristic
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C4⋊C4C2211yescharacteristic
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2211yescharacteristic
27C22×C11×C22⋊C4C2211yescharacteristic
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C11×C22⋊C4C2211yescharacteristic
32C22×C11×C22⋊C4C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C11×#394—24no—
38C11×#394—24no—
39C11×#394—24no—
40C11×#392—24no—
41C11×#386—24no—
42C11×#386—24no—
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
52C2×C11×#95C2211yescharacteristic
53C2×C11×#95C2211yescharacteristic
54C2×C11×#95C2211yescharacteristic
55C2×C11×#95C2211yescharacteristic
56C2×C11×#95C2211yescharacteristic
57C25×C11C2311yescharacteristic
58C25×C11C2311yescharacteristic
59C25×C11C2311yescharacteristic
60C22×D4×C11—22no—
61C22×D4×C11—22no—
62C22×D4×C11—22no—
63C22×D4×C11—22no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—22no—
68C22×D4×C11—22no—
69C22×D4×C11—22no—
70C22×D4×C11—41no—
71C22×D4×C11—41no—
72C22×D4×C11—41no—
73C22×D4×C11—41no—
74C22×D4×C11—41no—
75C22×D4×C11—41no—
76C22×D4×C11—41no—
77C22×D4×C11—41no—
78C22×D4×C11—41no—
79C22×D4×C11—41no—
80C22×D4×C11D414yes—
81C23×C4×C11—22no—
82C23×C4×C11—22no—
83C23×C4×C11—22no—
84C23×C4×C11—41no—
85C23×C4×C11—41no—
86C23×C4×C11—41no—
87C23×C4×C11—41no—
88C23×C4×C11C2311yescharacteristic
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2311yescharacteristic
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2311yescharacteristic
93C23×C4×C11C2311yescharacteristic
94C23×C4×C11C2311yescharacteristic
95C23×C4×C11C2311yescharacteristic
96C23×C4×C11C2311yescharacteristic
97C23×C4×C11C2311yescharacteristic
98C23×C4×C11C2311yescharacteristic
99C23×C4×C11C2311yescharacteristic
100C2×C11×C4⋊C4—22no—
101C2×C11×C4⋊C4—22no—
102C2×C11×C4⋊C4—22no—
103C2×C11×C4⋊C4—22no—
104C2×C11×C4⋊C4—22no—
105C2×C11×C4⋊C4—41no—
106C2×C11×C4⋊C4—41no—
107C2×C11×C4⋊C4—41no—
108C2×C11×C4⋊C4—41no—
109C2×C11×C22⋊C4—22no—
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—22no—
113C2×C11×C22⋊C4—22no—
114C2×C11×C22⋊C4—22no—
115C2×C11×C22⋊C4—22no—
116C2×C11×C22⋊C4—22no—
117C2×C11×C22⋊C4—22no—
118C2×C11×C22⋊C4—22no—
119C2×C11×C22⋊C4—22no—
120C2×C11×C22⋊C4—22no—
121C2×C11×C22⋊C4—22no—
122C2×C11×C22⋊C4—22no—
123C2×C11×C22⋊C4—22no—
124C2×C11×C22⋊C4—22no—
125C2×C11×C22⋊C4—22no—
126C2×C11×C22⋊C4—22no—
127C2×C11×C22⋊C4—22no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—22no—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4—41no—
132C2×C11×C22⋊C4—41no—
133C2×C11×C22⋊C4—41no—
134C2×C11×C22⋊C4—41no—
135C2×C11×C22⋊C4—41no—
136C2×C11×C22⋊C4—41no—
137C2×C11×C22⋊C4—41no—
138C2×C11×C22⋊C4—41no—
139C2×C11×C22⋊C4—41no—
140C2×C11×C22⋊C4—41no—
141C2×C11×C22⋊C4—41no—
142C2×C11×C22⋊C4—41no—
143C2×C11×C22⋊C4—41no—
144C2×C11×C22⋊C4—41no—
145C2×C11×C22⋊C4—41no—
146C2×C11×C22⋊C4—41no—
147C2×C11×C22⋊C4—41no—
148C2×C11×C22⋊C4—41no—
149C2×C11×C22⋊C4D414yescomplemented
150C2×C11×C22⋊C4D414yescomplemented
151C11×#95—22no—
152C11×#95—22no—
153C11×#95—22no—
154C11×#95—22no—
155C11×#95—22no—
156C11×#95—22no—
157C11×#95—22no—
158C11×#95—22no—
159C11×#95—41no—
160C11×#95—41no—
161C11×#95—41no—
162C11×#95—41no—
163C11×#95—41no—
164C11×#95—41no—
165#16283C1111yesmaximal, characteristic, direct product factor, Sylow
166C24×C11—21no—
167C24×C11—21no—
168C24×C11—21no—
169C24×C11—21no—
170C24×C11—21no—
171C24×C11—21no—
172C24×C11—21no—
173C24×C11—21no—
174C24×C11—21no—
175C24×C11—21no—
176C24×C11—21no—
177C24×C11—21no—
178C24×C11—21no—
179C24×C11—21no—
180C24×C11—21no—
181C24×C11—21no—
182C24×C11—21no—
183C24×C11—21no—
184C24×C11—21no—
185C24×C11—21no—
186C24×C11—21no—
187C24×C11—21no—
188C24×C11—21no—
189C24×C11—21no—
190C24×C11—21no—
191C24×C11—21no—
192C24×C11—21no—
193C24×C11—21no—
194C24×C11—21no—
195C24×C11—21no—
196C24×C11—21no—
197C24×C11—21no—
198C24×C11—21no—
199C24×C11—21no—
200C24×C11—21no—
201C24×C11—21no—
202C24×C11—21no—
203C24×C11—21no—
204C24×C11—21no—
205C24×C11—21no—
206C24×C11C2×D412yes—
207C24×C11C2×D412yes—
208C24×C11C2×D412yes—
209C24×C11C2×D412yes—
210C24×C11#4112yes—
211C24×C11C2411yescharacteristic
212C2×D4×C11—28no—
213C2×D4×C11—28no—
214C2×D4×C11—44no—
215C2×D4×C11—44no—
216C2×D4×C11—44no—
217C2×D4×C11—44no—
218C2×D4×C11—44no—
219C2×D4×C11—44no—
220C2×D4×C11—44no—
221C2×D4×C11—44no—
222C2×D4×C11—44no—
223C2×D4×C11—44no—
224C2×D4×C11—44no—
225C2×D4×C11—44no—
226C2×D4×C11—44no—
227C2×D4×C11—44no—
228C2×D4×C11—44no—
229C2×D4×C11—44no—
230C2×D4×C11—44no—
231C2×D4×C11—44no—
232C2×D4×C11—44no—
233C22×C4×C11—21no—
234C22×C4×C11—21no—
235C22×C4×C11—21no—
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—21no—
245C22×C4×C11—21no—
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11—21no—
249C22×C4×C11—21no—
250C22×C4×C11—21no—
251C22×C4×C11—21no—
252C22×C4×C11—21no—
253C22×C4×C11—21no—
254C22×C4×C11—21no—
255C22×C4×C11—21no—
256C22×C4×C11—21no—
257C22×C4×C11—21no—
258C22×C4×C11—21no—
259C22×C4×C11—21no—
260C22×C4×C11—21no—
261C22×C4×C11—21no—
262C22×C4×C11—21no—
263C22×C4×C11—21no—
264C22×C4×C11—21no—
265C22×C4×C11—21no—
266C22×C4×C11—21no—
267C22×C4×C11—21no—
268C22×C4×C11—21no—
269C22×C4×C11—21no—
270C22×C4×C11—21no—
271C22×C4×C11—21no—
272C22×C4×C11—21no—
273C22×C4×C11—21no—
274C22×C4×C11—21no—
275C22×C4×C11—21no—
276C22×C4×C11—21no—
277C22×C4×C11—21no—
278C22×C4×C11—21no—
279C22×C4×C11—21no—
280C22×C4×C11—21no—
281C22×C4×C11—21no—
282C22×C4×C11—21no—
283C22×C4×C11—21no—
284C22×C4×C11—21no—
285C22×C4×C11—21no—
286C22×C4×C11—21no—
287C22×C4×C11—21no—
288C22×C4×C11—21no—
289C22×C4×C11—21no—
290C22×C4×C11—21no—
291C22×C4×C11—21no—
292C22×C4×C11—21no—
293C22×C4×C11—21no—
294C22×C4×C11—21no—
295C22×C4×C11—21no—
296C22×C4×C11—21no—
297C22×C4×C11—21no—
298C22×C4×C11—21no—
299C22×C4×C11—21no—
300C22×C4×C11—21no—
301C22×C4×C11—21no—
302C22×C4×C11—21no—
303C22×C4×C11—21no—
304C22×C4×C11—21no—
305C22×C4×C11—21no—
306C22×C4×C11—21no—
307C22×C4×C11—21no—
308C22×C4×C11—21no—
309C22×C4×C11—44no—
310C22×C4×C11—44no—
311C22×C4×C11—44no—
312C22×C4×C11—44no—
313C22×C4×C11—44no—
314C22×C4×C11—44no—
315C22×C4×C11—44no—
316C22×C4×C11C2×D412yes—
317C22×C4×C11C2×D412yes—
318C22×C4×C11C2×D412yes—
319C22×C4×C11C2×D412yes—
320C22×C4×C11C2×D412yes—
321C22×C4×C11#4112yes—
322C22×C4×C11#4112yes—
323C22×C4×C11#4112yes—
324C11×C4⋊C4—44no—
325C11×C4⋊C4—44no—
326C11×C4⋊C4—44no—
327C11×C22⋊C4—44no—
328C11×C22⋊C4—44no—
329C11×C22⋊C4—44no—
330C11×C22⋊C4—44no—
331C11×C22⋊C4—44no—
332C11×C22⋊C4—44no—
333C11×C22⋊C4—44no—
334C11×C22⋊C4—44no—
335C11×C22⋊C4—44no—
336C11×C22⋊C4—44no—
337C11×C22⋊C4—44no—
338C11×C22⋊C4—44no—
339C11×C22⋊C4—44no—
340C11×C22⋊C4—44no—
341C2×#394C2×C1111yescharacteristic, complemented
342C2×#394C2×C1111yescharacteristic, complemented
343C2×#394C2×C1111yescharacteristic, complemented
344C2×#392C2×C1111yescharacteristic
345C2×#386C2×C1111yescharacteristic, complemented
346C2×#386C2×C1111yescharacteristic, complemented
347#1445C2×C1111yescharacteristic, complemented
348#1441C2×C1111yescharacteristic, complemented
349#1440C2×C1111yescharacteristic, complemented
350#1440C2×C1111yescharacteristic, complemented
351#1439C2×C1111yescharacteristic, complemented
352#1439C2×C1111yescharacteristic, complemented
353#1439C2×C1111yescharacteristic, complemented
354#1438C2×C1111yescharacteristic, complemented
355C22⋊#95C2×C1111yescharacteristic, complemented
356C23×C11—22no—
357C23×C11—22no—
358C23×C11—22no—
359C23×C11—22no—
360C23×C11—22no—
361C23×C11—22no—
362C23×C11—22no—
363C23×C11—22no—
364C23×C11—22no—
365C23×C11—22no—
366C23×C11—22no—
367C23×C11—22no—
368C23×C11—22no—
369C23×C11—22no—
370C23×C11—22no—
371C23×C11—22no—
372C23×C11—22no—
373C23×C11—22no—
374C23×C11—22no—
375C23×C11—22no—
376C23×C11—22no—
377C23×C11—22no—
378C23×C11—22no—
379C23×C11—22no—
380C23×C11—22no—
381C23×C11—22no—
382C23×C11—22no—
383C23×C11—22no—
384C23×C11—22no—
385C23×C11—22no—
386C23×C11—22no—
387C23×C11—22no—
388C23×C11—41no—
389C23×C11—41no—
390C23×C11—41no—
391C23×C11—41no—
392C23×C11—41no—
393C23×C11—41no—
394C23×C11—41no—
395C23×C11—41no—
396C23×C11—41no—
397C23×C11—41no—
398C23×C11—41no—
399C23×C11—41no—
400C23×C11—41no—
401C23×C11—41no—
402C23×C11—41no—
403C23×C11—41no—
404C23×C11—41no—
405C23×C11—41no—
406C23×C11—41no—
407C23×C11—41no—
408C23×C11—41no—
409C23×C11—41no—
410C23×C11—41no—
411C23×C11—41no—
412C23×C11—41no—
413C23×C11—41no—
414C23×C11—41no—
415C23×C11—41no—
416C23×C11—41no—
417C23×C11—41no—
418C23×C11—41no—
419C23×C11—41no—
420C23×C11—41no—
421C23×C11—41no—
422C23×C11—41no—
423C23×C11—41no—
424C23×C11—41no—
425C23×C11—41no—
426C23×C11—41no—
427C23×C11—41no—
428C23×C11—41no—
429C23×C11—41no—
430C23×C11—41no—
431C23×C11—41no—
432C23×C11—41no—
433C23×C11—41no—
434C23×C11—41no—
435C23×C11—41no—
436C23×C11—41no—
437C23×C11—41no—
438C23×C11—41no—
439C23×C11—41no—
440C23×C11—41no—
441C23×C11—41no—
442C23×C11—41no—
443C23×C11—41no—
444C23×C11—41no—
445C23×C11—41no—
446C23×C11—41no—
447C23×C11—41no—
448C23×C11—41no—
449C23×C11—41no—
450C23×C11—41no—
451C23×C11—41no—
452C23×C11—41no—
453C23×C11—41no—
454C23×C11—41no—
455C23×C11—41no—
456C23×C11—41no—
457C23×C11—41no—
458C23×C11—41no—
459C23×C11—41no—
460C23×C11#12114yes—
461C23×C11C22×D411yescharacteristic
462C23×C11C22×D411yescharacteristic
463C23×C11C22×D411yescharacteristic
464C23×C11C2×#4111yescharacteristic
465C23×C11C2×#4111yescharacteristic
466C23×C11C2×#4111yescharacteristic
467C23×C11C2×#4111yescharacteristic
468C23×C11H(5,𝔽2)11yescharacteristic
469C23×C11H(5,𝔽2)11yescharacteristic
470C23×C11H(5,𝔽2)11yescharacteristic
471C23×C11H(5,𝔽2)11yescharacteristic
472C23×C11H(5,𝔽2)11yescharacteristic
473C23×C11H(5,𝔽2)11yescharacteristic
474C23×C11H(5,𝔽2)11yescharacteristic
475C23×C112−1+411yescharacteristic
476D4×C11—416no—
477D4×C11—416no—
478D4×C11—416no—
479C2×C4×C11—22no—
480C2×C4×C11—22no—
481C2×C4×C11—22no—
482C2×C4×C11—22no—
483C2×C4×C11—22no—
484C2×C4×C11—22no—
485C2×C4×C11—22no—
486C2×C4×C11—22no—
487C2×C4×C11—22no—
488C2×C4×C11—22no—
489C2×C4×C11—22no—
490C2×C4×C11—22no—
491C2×C4×C11—22no—
492C2×C4×C11—22no—
493C2×C4×C11—22no—
494C2×C4×C11—22no—
495C2×C4×C11—22no—
496C2×C4×C11—22no—
497C2×C4×C11—22no—
498C2×C4×C11—22no—
499C2×C4×C11—22no—
500C2×C4×C11—22no—
501C2×C4×C11—22no—
502C2×C4×C11—22no—
503C2×C4×C11—416no—
504C2×C4×C11—41no—
505C2×C4×C11—41no—
506C2×C4×C11—41no—
507C2×C4×C11—41no—
508C2×C4×C11—41no—
509C2×C4×C11—41no—
510C2×C4×C11—41no—
511C2×C4×C11—41no—
512C2×C4×C11—41no—
513C2×C4×C11—41no—
514C2×C4×C11—41no—
515C2×C4×C11—41no—
516C2×C4×C11—41no—
517C2×C4×C11—41no—
518C2×C4×C11—41no—
519C2×C4×C11—41no—
520C2×C4×C11—41no—
521C2×C4×C11—41no—
522C2×C4×C11—41no—
523C2×C4×C11—41no—
524C2×C4×C11—41no—
525C2×C4×C11—41no—
526C2×C4×C11—41no—
527C2×C4×C11—41no—
528C2×C4×C11—41no—
529C2×C4×C11—41no—
530C2×C4×C11—41no—
531C2×C4×C11—41no—
532C2×C4×C11—41no—
533C2×C4×C11—41no—
534C2×C4×C11—41no—
535C2×C4×C11—41no—
536C2×C4×C11—41no—
537C2×C4×C11—41no—
538C2×C4×C11—41no—
539C2×C4×C11—41no—
540C2×C4×C11—41no—
541C2×C4×C11—41no—
542C2×C4×C11—41no—
543C2×C4×C11—41no—
544C2×C4×C11—41no—
545C2×C4×C11—41no—
546C2×C4×C11—41no—
547C2×C4×C11—41no—
548C2×C4×C11—41no—
549C2×C4×C11—41no—
550C2×C4×C11—41no—
551C2×C4×C11—41no—
552C2×C4×C11—41no—
553C2×C4×C11—41no—
554C2×C4×C11—41no—
555C2×C4×C11—41no—
556C2×C4×C11—41no—
557C2×C4×C11—41no—
558C2×C4×C11—41no—
559C2×C4×C11—41no—
560C2×C4×C11—41no—
561C2×C4×C11—41no—
562C2×C4×C11—41no—
563C2×C4×C11—41no—
564C23×D4C22×C1111yescharacteristic
565C23×D4C22×C1111yescharacteristic
566C23×D4C22×C1111yescharacteristic
567C24×C4C22×C1111yescharacteristic
568C22×C4⋊C4C22×C1111yescharacteristic
569C22×C4⋊C4C22×C1111yescharacteristic
570C22×C4⋊C4C22×C1111yescharacteristic
571C22×C22⋊C4C22×C1111yescharacteristic
572C22×C22⋊C4C22×C1111yescharacteristic
573C22×C22⋊C4C22×C1111yescharacteristic
574C22×C22⋊C4C22×C1111yescharacteristic
575C22×C22⋊C4C22×C1111yescharacteristic
576C22×C22⋊C4C22×C1111yescharacteristic
577C22×C22⋊C4C22×C1111yescharacteristic
578C22×C22⋊C4C22×C1111yescharacteristic
579C22×C22⋊C4C22×C1111yescharacteristic
580C22×C22⋊C4C22×C1111yescharacteristic
581C22×C22⋊C4C22×C1111yescharacteristic
582C22×C22⋊C4C22×C1111yescharacteristic
583C22×C22⋊C4C22×C1111yescharacteristic
584C22×C22⋊C4C22×C1111yescharacteristic
585#394—24no—
586#394—24no—
587#394—24no—
588#392—24no—
589#386—24no—
590#386—24no—
591C2×#95C22×C1111yescharacteristic
592C2×#95C22×C1111yescharacteristic
593C2×#95C22×C1111yescharacteristic
594C2×#95C22×C1111yescharacteristic
595C2×#95C22×C1111yescharacteristic
596C2×#95C22×C1111yescharacteristic
597C2×#95C22×C1111yescharacteristic
598C2×#95C22×C1111yescharacteristic
599C2×#95C22×C1111yescharacteristic
600C2×#95C22×C1111yescharacteristic
601C2×#95C22×C1111yescharacteristic
602C2×#95C22×C1111yescharacteristic
603C2×#95C22×C1111yescharacteristic
604C2×#95C22×C1111yescharacteristic
605C22×C11—24no—
606C22×C11—24no—
607C22×C11—24no—
608C22×C11—42no—
609C22×C11—42no—
610C22×C11—42no—
611C22×C11—42no—
612C22×C11—42no—
613C22×C11—42no—
614C22×C11—42no—
615C22×C11—42no—
616C22×C11—42no—
617C22×C11—42no—
618C22×C11—42no—
619C22×C11—42no—
620C22×C11—42no—
621C22×C11—42no—
622C22×C11—42no—
623C22×C11—42no—
624C22×C11—42no—
625C22×C11—42no—
626C22×C11—42no—
627C22×C11—42no—
628C22×C11—42no—
629C22×C11—42no—
630C22×C11—42no—
631C22×C11—42no—
632C22×C11—42no—
633C22×C11—42no—
634C22×C11—81no—
635C22×C11—81no—
636C22×C11—81no—
637C22×C11—81no—
638C22×C11—81no—
639C22×C11—81no—
640C22×C11—81no—
641C22×C11—81no—
642C22×C11—81no—
643C22×C11—81no—
644C22×C11—81no—
645C22×C11—81no—
646C22×C11—81no—
647C22×C11—81no—
648C22×C11—81no—
649C22×C11—81no—
650C22×C11C2×#12111yescharacteristic
651C22×C11#52511yescharacteristic
652C22×C11#52911yescharacteristic
653C22×C11#53411yescharacteristic
654C22×C11#53411yescharacteristic
655C22×C11#53411yescharacteristic
656C22×C11#53411yescharacteristic
657C22×C11#53511yescharacteristic
658C22×C11#53711yescharacteristic
659C22×C11#53811yescharacteristic
660C22×C11#53811yescharacteristic
661C22×C11#53811yescharacteristic
662C22×C11#53811yescharacteristic
663C22×C11#53811yescharacteristic
664C22×C11#53911yescharacteristic
665C22×C11#54011yescharacteristic
666C22×C11#54011yescharacteristic
667C22×C11#54011yescharacteristic
668C22×C11#54211yescharacteristic
669C22×C11D4211yescharacteristic
670C22×C11D4211yescharacteristic
671C22×C11#54611yescharacteristic
672C22×C11#54611yescharacteristic
673C22×C11#54611yescharacteristic
674C22×C11#54611yescharacteristic
675C22×C11#54611yescharacteristic
676C22×C11#54611yescharacteristic
677C22×C11#54711yescharacteristic
678C22×C11#54711yescharacteristic
679C22×C11#55511yescharacteristic
680C22×C11#55911yescharacteristic
681C22×C11#56011yescharacteristic
682C22×C11#56011yescharacteristic
683C22×C11#56211yescharacteristic
684C22×C11#56211yescharacteristic
685C4×C11—42no—
686C4×C11—42no—
687C4×C11—42no—
688C4×C11—42no—
689C4×C11—42no—
690C4×C11—42no—
691C4×C11—42no—
692C4×C11—42no—
693C4×C11—81no—
694C4×C11—81no—
695C4×C11—81no—
696C4×C11—81no—
697C25C23×C1111yescharacteristic
698C25C23×C1111yescharacteristic
699C25C23×C1111yescharacteristic
700C22×D4—22no—
701C22×D4—22no—
702C22×D4—22no—
703C22×D4—22no—
704C22×D4—22no—
705C22×D4—22no—
706C22×D4—22no—
707C22×D4—22no—
708C22×D4—22no—
709C22×D4—22no—
710C22×D4—41no—
711C22×D4—41no—
712C22×D4—41no—
713C22×D4—41no—
714C22×D4—41no—
715C22×D4—41no—
716C22×D4—41no—
717C22×D4—41no—
718C22×D4—41no—
719C22×D4—41no—
720C22×D4D4×C1114yes—
721C23×C4—22no—
722C23×C4—22no—
723C23×C4—22no—
724C23×C4—41no—
725C23×C4—41no—
726C23×C4—41no—
727C23×C4—41no—
728C23×C4C23×C1111yescharacteristic
729C23×C4C23×C1111yescharacteristic
730C23×C4C23×C1111yescharacteristic
731C23×C4C23×C1111yescharacteristic
732C23×C4C23×C1111yescharacteristic
733C23×C4C23×C1111yescharacteristic
734C23×C4C23×C1111yescharacteristic
735C23×C4C23×C1111yescharacteristic
736C23×C4C23×C1111yescharacteristic
737C23×C4C23×C1111yescharacteristic
738C23×C4C23×C1111yescharacteristic
739C23×C4C23×C1111yescharacteristic
740C2×C4⋊C4—22no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—22no—
745C2×C4⋊C4—41no—
746C2×C4⋊C4—41no—
747C2×C4⋊C4—41no—
748C2×C4⋊C4—41no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4D4×C1114yescomplemented
790C2×C22⋊C4D4×C1114yescomplemented
791#95—22no—
792#95—22no—
793#95—22no—
794#95—22no—
795#95—22no—
796#95—22no—
797#95—22no—
798#95—22no—
799#95—41no—
800#95—41no—
801#95—41no—
802#95—41no—
803#95—41no—
804#95—41no—
805C2×C11—44no—
806C2×C11—82no—
807C2×C11—82no—
808C2×C11#242411yescharacteristic
809C2×C11#242511yescharacteristic
810C2×C11#245911yescharacteristic
811C2×C11#261711yescharacteristic
812C2×C11#263011yescharacteristic
813C2×C11#264811yescharacteristic
814C2×C11#266811yescharacteristic
815C2×C11#267111yescharacteristic
816C2×C11#267111yescharacteristic
817C2×C11#267811yescharacteristic
818C2×C11#268611yescharacteristic
819C2×C11#269911yescharacteristic
820C2×C11#270911yescharacteristic
821C2×C11#271011yescharacteristic
822C2×C11#282611yescharacteristic
823C24—21no—
824C24—21no—
825C24—21no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24C2×D4×C1112yes—
864C24C2×D4×C1112yes—
865C24C2×D4×C1112yes—
866C24C2×D4×C1112yes—
867C24C11×#4112yes—
868C24C24×C1111yescharacteristic
869C2×D4—28no—
870C2×D4—28no—
871C2×D4—44no—
872C2×D4—44no—
873C2×D4—44no—
874C2×D4—44no—
875C2×D4—44no—
876C2×D4—44no—
877C2×D4—44no—
878C2×D4—44no—
879C2×D4—44no—
880C2×D4—44no—
881C2×D4—44no—
882C2×D4—44no—
883C2×D4—44no—
884C2×D4—44no—
885C2×D4—44no—
886C2×D4—44no—
887C2×D4—44no—
888C2×D4—44no—
889C2×D4—44no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—44no—
967C22×C4—44no—
968C22×C4—44no—
969C22×C4—44no—
970C22×C4—44no—
971C22×C4—44no—
972C22×C4—44no—
973C22×C4C2×D4×C1112yes—
974C22×C4C2×D4×C1112yes—
975C22×C4C2×D4×C1112yes—
976C22×C4C2×D4×C1112yes—
977C22×C4C2×D4×C1112yes—
978C22×C4C11×#4112yes—
979C22×C4C11×#4112yes—
980C22×C4C11×#4112yes—
981C4⋊C4—44no—
982C4⋊C4—44no—
983C4⋊C4—44no—
984C22⋊C4—44no—
985C22⋊C4—44no—
986C22⋊C4—44no—
987C22⋊C4—44no—
988C22⋊C4—44no—
989C22⋊C4—44no—
990C22⋊C4—44no—
991C22⋊C4—44no—
992C22⋊C4—44no—
993C22⋊C4—44no—
994C22⋊C4—44no—
995C22⋊C4—44no—
996C22⋊C4—44no—
997C22⋊C4—44no—
998C11#1628311yescharacteristic, direct product factor, Sylow
999C23—22no—
1000C23—22no—
1001C23—22no—
1002C23—22no—
1003C23—22no—
1004C23—22no—
1005C23—22no—
1006C23—22no—
1007C23—22no—
1008C23—22no—
1009C23—22no—
1010C23—22no—
1011C23—22no—
1012C23—22no—
1013C23—22no—
1014C23—22no—
1015C23—22no—
1016C23—22no—
1017C23—22no—
1018C23—22no—
1019C23—22no—
1020C23—22no—
1021C23—22no—
1022C23—22no—
1023C23—22no—
1024C23—22no—
1025C23—22no—
1026C23—22no—
1027C23—22no—
1028C23—22no—
1029C23—22no—
1030C23—22no—
1031C23—41no—
1032C23—41no—
1033C23—41no—
1034C23—41no—
1035C23—41no—
1036C23—41no—
1037C23—41no—
1038C23—41no—
1039C23—41no—
1040C23—41no—
1041C23—41no—
1042C23—41no—
1043C23—41no—
1044C23—41no—
1045C23—41no—
1046C23—41no—
1047C23—41no—
1048C23—41no—
1049C23—41no—
1050C23—41no—
1051C23—41no—
1052C23—41no—
1053C23—41no—
1054C23—41no—
1055C23—41no—
1056C23—41no—
1057C23—41no—
1058C23—41no—
1059C23—41no—
1060C23—41no—
1061C23—41no—
1062C23—41no—
1063C23—41no—
1064C23—41no—
1065C23—41no—
1066C23—41no—
1067C23—41no—
1068C23—41no—
1069C23—41no—
1070C23—41no—
1071C23—41no—
1072C23—41no—
1073C23—41no—
1074C23—41no—
1075C23—41no—
1076C23—41no—
1077C23—41no—
1078C23—41no—
1079C23—41no—
1080C23—41no—
1081C23—41no—
1082C23—41no—
1083C23—41no—
1084C23—41no—
1085C23—41no—
1086C23—41no—
1087C23—41no—
1088C23—41no—
1089C23—41no—
1090C23—41no—
1091C23—41no—
1092C23—41no—
1093C23—41no—
1094C23—41no—
1095C23—41no—
1096C23—41no—
1097C23—41no—
1098C23—41no—
1099C23—41no—
1100C23—41no—
1101C23—41no—
1102C23—41no—
1103C23C11×#12114yes—
1104C23C22×D4×C1111yescharacteristic
1105C23C22×D4×C1111yescharacteristic
1106C23C22×D4×C1111yescharacteristic
1107C23C2×C11×#4111yescharacteristic
1108C23C2×C11×#4111yescharacteristic
1109C23C2×C11×#4111yescharacteristic
1110C23C2×C11×#4111yescharacteristic
1111C23C11×H(5,𝔽2)11yescharacteristic
1112C23C11×H(5,𝔽2)11yescharacteristic
1113C23C11×H(5,𝔽2)11yescharacteristic
1114C23C11×H(5,𝔽2)11yescharacteristic
1115C23C11×H(5,𝔽2)11yescharacteristic
1116C23C11×H(5,𝔽2)11yescharacteristic
1117C23C11×H(5,𝔽2)11yescharacteristic
1118C23C11×2−1+411yescharacteristic
1119D4—416no—
1120D4—416no—
1121D4—416no—
1122C2×C4—22no—
1123C2×C4—22no—
1124C2×C4—22no—
1125C2×C4—22no—
1126C2×C4—22no—
1127C2×C4—22no—
1128C2×C4—22no—
1129C2×C4—22no—
1130C2×C4—22no—
1131C2×C4—22no—
1132C2×C4—22no—
1133C2×C4—22no—
1134C2×C4—22no—
1135C2×C4—22no—
1136C2×C4—22no—
1137C2×C4—22no—
1138C2×C4—22no—
1139C2×C4—22no—
1140C2×C4—22no—
1141C2×C4—22no—
1142C2×C4—22no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—416no—
1147C2×C4—41no—
1148C2×C4—41no—
1149C2×C4—41no—
1150C2×C4—41no—
1151C2×C4—41no—
1152C2×C4—41no—
1153C2×C4—41no—
1154C2×C4—41no—
1155C2×C4—41no—
1156C2×C4—41no—
1157C2×C4—41no—
1158C2×C4—41no—
1159C2×C4—41no—
1160C2×C4—41no—
1161C2×C4—41no—
1162C2×C4—41no—
1163C2×C4—41no—
1164C2×C4—41no—
1165C2×C4—41no—
1166C2×C4—41no—
1167C2×C4—41no—
1168C2×C4—41no—
1169C2×C4—41no—
1170C2×C4—41no—
1171C2×C4—41no—
1172C2×C4—41no—
1173C2×C4—41no—
1174C2×C4—41no—
1175C2×C4—41no—
1176C2×C4—41no—
1177C2×C4—41no—
1178C2×C4—41no—
1179C2×C4—41no—
1180C2×C4—41no—
1181C2×C4—41no—
1182C2×C4—41no—
1183C2×C4—41no—
1184C2×C4—41no—
1185C2×C4—41no—
1186C2×C4—41no—
1187C2×C4—41no—
1188C2×C4—41no—
1189C2×C4—41no—
1190C2×C4—41no—
1191C2×C4—41no—
1192C2×C4—41no—
1193C2×C4—41no—
1194C2×C4—41no—
1195C2×C4—41no—
1196C2×C4—41no—
1197C2×C4—41no—
1198C2×C4—41no—
1199C2×C4—41no—
1200C2×C4—41no—
1201C2×C4—41no—
1202C2×C4—41no—
1203C2×C4—41no—
1204C2×C4—41no—
1205C2×C4—41no—
1206C2×C4—41no—
1207C22—24no—
1208C22—24no—
1209C22—24no—
1210C22—42no—
1211C22—42no—
1212C22—42no—
1213C22—42no—
1214C22—42no—
1215C22—42no—
1216C22—42no—
1217C22—42no—
1218C22—42no—
1219C22—42no—
1220C22—42no—
1221C22—42no—
1222C22—42no—
1223C22—42no—
1224C22—42no—
1225C22—42no—
1226C22—42no—
1227C22—42no—
1228C22—42no—
1229C22—42no—
1230C22—42no—
1231C22—42no—
1232C22—42no—
1233C22—42no—
1234C22—42no—
1235C22—42no—
1236C22—81no—
1237C22—81no—
1238C22—81no—
1239C22—81no—
1240C22—81no—
1241C22—81no—
1242C22—81no—
1243C22—81no—
1244C22—81no—
1245C22—81no—
1246C22—81no—
1247C22—81no—
1248C22—81no—
1249C22—81no—
1250C22—81no—
1251C22—81no—
1252C22C2×C11×#12111yescharacteristic
1253C22C11×#52511yescharacteristic
1254C22C11×#52911yescharacteristic
1255C22C11×#53411yescharacteristic
1256C22C11×#53411yescharacteristic
1257C22C11×#53411yescharacteristic
1258C22C11×#53411yescharacteristic
1259C22C11×#53511yescharacteristic
1260C22C11×#53711yescharacteristic
1261C22C11×#53811yescharacteristic
1262C22C11×#53811yescharacteristic
1263C22C11×#53811yescharacteristic
1264C22C11×#53811yescharacteristic
1265C22C11×#53811yescharacteristic
1266C22C11×#53911yescharacteristic
1267C22C11×#54011yescharacteristic
1268C22C11×#54011yescharacteristic
1269C22C11×#54011yescharacteristic
1270C22C11×#54211yescharacteristic
1271C22D42×C1111yescharacteristic
1272C22D42×C1111yescharacteristic
1273C22C11×#54611yescharacteristic
1274C22C11×#54611yescharacteristic
1275C22C11×#54611yescharacteristic
1276C22C11×#54611yescharacteristic
1277C22C11×#54611yescharacteristic
1278C22C11×#54611yescharacteristic
1279C22C11×#54711yescharacteristic
1280C22C11×#54711yescharacteristic
1281C22C11×#55511yescharacteristic
1282C22C11×#55911yescharacteristic
1283C22C11×#56011yescharacteristic
1284C22C11×#56011yescharacteristic
1285C22C11×#56211yescharacteristic
1286C22C11×#56211yescharacteristic
1287C4—42no—
1288C4—42no—
1289C4—42no—
1290C4—42no—
1291C4—42no—
1292C4—42no—
1293C4—42no—
1294C4—42no—
1295C4—81no—
1296C4—81no—
1297C4—81no—
1298C4—81no—
1299C2—44no—
1300C2—82no—
1301C2—82no—
1302C2C11×#242411yescharacteristic
1303C2C11×#242511yescharacteristic
1304C2C11×#245911yescharacteristic
1305C2C11×#261711yescharacteristic
1306C2C11×#263011yescharacteristic
1307C2C11×#264811yescharacteristic
1308C2C11×#266811yescharacteristic
1309C2C11×#267111yescharacteristic
1310C2C11×#267111yescharacteristic
1311C2C11×#267811yescharacteristic
1312C2C11×#268611yescharacteristic
1313C2C11×#269911yescharacteristic
1314C2C11×#270911yescharacteristic
1315C2C11×#271011yescharacteristic
1316C2C11×#282611yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutator, Frattini, cosocleC24C24×C11
prime radicalC2×C11×#392C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#394C2semidirect
2. C2×C11×#394C2semidirect
3. C2×C11×#394C2semidirect
5. C2×C11×#386C2semidirect
6. C2×C11×#386C2semidirect
7. C11×#1445C2semidirect
8. C11×#1441C2semidirect
9. C11×#1440C2semidirect
10. C11×#1440C2semidirect
11. C11×#1439C2semidirect
12. C11×#1439C2semidirect
13. C11×#1439C2semidirect
14. C11×#1438C2semidirect
15. C11×C22⋊#95C2semidirect
149. C2×C11×C22⋊C4D4semidirect
150. C2×C11×C22⋊C4D4semidirect
165. #16283C11direct (N × H)
341. C2×#394C2×C11semidirect
342. C2×#394C2×C11semidirect
343. C2×#394C2×C11semidirect
345. C2×#386C2×C11semidirect
346. C2×#386C2×C11semidirect
347. #1445C2×C11semidirect
348. #1441C2×C11semidirect
349. #1440C2×C11semidirect
350. #1440C2×C11semidirect
351. #1439C2×C11semidirect
352. #1439C2×C11semidirect
353. #1439C2×C11semidirect
354. #1438C2×C11semidirect
355. C22⋊#95C2×C11semidirect
789. C2×C22⋊C4D4×C11semidirect
790. C2×C22⋊C4D4×C11semidirect
998. C11#16283direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#3942
C2×C11×#3922
C2×C11×#3862
C11×#14452
C11×#14412
C11×#14402
C11×#14392
C11×#14382
C11×C22⋊#952
#1628311