Finite Group Databasebeta

← C11×#18414 #14595607

Subgroups — C11×#18414 #14595607

Order 2816.

1042 conjugacy classes of subgroups.

The subgroup lattice has 1010 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3534C211yesmaximal, characteristic, complemented
2C11×#3194C211yesmaximal, characteristic, complemented
3C11×#3186C211yesmaximal, characteristic, complemented
4C11×#2661C211yesmaximal, characteristic, complemented
5C11×#1612C211yesmaximal, characteristic, complemented
6C11×#1610C211yesmaximal, characteristic, complemented
7C11×#1609C211yesmaximal, characteristic, complemented
8C11×#1607C211yesmaximal, characteristic, complemented
9C11×#1600C211yesmaximal, characteristic, complemented
10C11×#1598C211yesmaximal, characteristic, complemented
11C11×#1597C211yesmaximal, characteristic, complemented
12C11×#1595C211yesmaximal, characteristic, complemented
13C11×#1507C211yesmaximal, characteristic, complemented
14C11×#1501C211yesmaximal, characteristic, complemented
15C11×#1468C211yesmaximal, characteristic, complemented
16C11×#562—21no—
17C11×#560—21no—
18C11×#553—21no—
19C11×#551—21no—
20C11×#546—21no—
21C11×#546—21no—
22C11×#546—21no—
23D42×C11—21no—
24C11×#540—21no—
25C11×#539—21no—
26C11×#539C2211yescharacteristic
27C11×#538—21no—
28C11×#538C2211yescharacteristic
29C11×#537C2211yescharacteristic
30C11×#534—21no—
31C11×#534C2211yescharacteristic
32C11×#525C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic, complemented
36C11×#483C2211yescharacteristic, complemented
37C11×#482—21no—
38C11×#480—21no—
39C11×#480C2211yescharacteristic
40C11×#480C2211yescharacteristic, complemented
41C11×#480C2211yescharacteristic, complemented
42C11×#469—21no—
43C11×#468—21no—
44C11×#466—21no—
45C11×#466—21no—
46C11×#450C2211yescharacteristic, complemented
47C11×#449—21no—
48C11×#447—21no—
49C11×#447C2211yescharacteristic
50C11×#447C2211yescharacteristic, complemented
51C11×#447C2211yescharacteristic, complemented
52C11×#407C2211yescharacteristic, complemented
53C2×C11×C22⋊C8C2211yescharacteristic, complemented
54C11×#398C2211yescharacteristic, complemented
55C11×#397C2211yescharacteristic, complemented
56C11×#394—21no—
57C11×#394C2211yescharacteristic, complemented
58C11×#392—21no—
59C11×#392C2211yescharacteristic, complemented
60C11×#390—21no—
61C11×#388—21no—
62C4×C11×C22⋊C4C2211yescharacteristic, complemented
63C11×#328C2211yescharacteristic, complemented
64C11×#328C2211yescharacteristic, complemented
65C11×#327C2211yescharacteristic
66C11×#327C2211yescharacteristic
67C11×#327C2211yescharacteristic, complemented
68C11×#327C2211yescharacteristic, complemented
69C11×#327C2211yescharacteristic, complemented
70C11×#327C2211yescharacteristic, complemented
71C11×#324C2211yescharacteristic, complemented
72C11×#324C2211yescharacteristic, complemented
73C11×#323C2211yescharacteristic, complemented
74C11×#323C2211yescharacteristic, complemented
75C2×C11×#41—21no—
76C2×C11×#41D411yescharacteristic, complemented
77C22×D4×C11—21no—
78C22×D4×C11—21no—
79C22×D4×C11—21no—
80C22×D4×C11—21no—
81C22×D4×C11—21no—
82C22×D4×C11D411yescharacteristic
83C22×D4×C11D411yescharacteristic, complemented
84C22×D4×C11C2311yescharacteristic
85C23×C4×C11C2311yescharacteristic
86C2×C11×SD16—21no—
87C2×C11×D8—21no—
88C2×C11×D8—21no—
89C2×C11×D8—21no—
90C2×C11×M16—21no—
91C22×C8×C11—21no—
92C11×#127—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#126—21no—
97C11×#125—21no—
98C11×#125—21no—
99C11×#124—21no—
100C11×#124—21no—
101C11×#124—21no—
102C11×#123—21no—
103C11×#123—21no—
104C11×#123—21no—
105C11×#123—21no—
106C11×#123—21no—
107C11×#123—21no—
108C11×#123—21no—
109C11×#123—21no—
110C11×#123—21no—
111C11×#123—21no—
112C11×#123—21no—
113C11×#123—21no—
114C11×#123—21no—
115C11×#123—21no—
116C11×C22⋊Q8—21no—
117C11×C22⋊Q8—21no—
118C11×C22⋊Q8—21no—
119C11×C22⋊Q8—21no—
120C11×C22⋊Q8—21no—
121C11×C22⋊Q8D411yescharacteristic, complemented
122C11×C22⋊Q8C2311yescharacteristic
123C11×#121—21no—
124C11×#121—21no—
125C11×#121—21no—
126C11×#121—21no—
127C11×#121—21no—
128C11×#121—21no—
129C11×#121—21no—
130C11×#121—21no—
131C11×#121—21no—
132C11×#121—21no—
133C11×#121—21no—
134C11×#121—21no—
135C11×#121—21no—
136C11×#121—21no—
137C11×#121—21no—
138C11×#121—21no—
139C11×#121—21no—
140C11×#121—21no—
141C11×#121—21no—
142C11×#121D411yescharacteristic, complemented
143C11×#121D411yescharacteristic, complemented
144C11×#121D411yescharacteristic, complemented
145C11×#121C2311yescharacteristic
146C11×#121C2311yescharacteristic
147C11×#121C2311yescharacteristic
148C11×#120—21no—
149C11×#120—21no—
150C11×#120—21no—
151C11×#120—21no—
152C11×#120—21no—
153C11×#120—21no—
154C11×#120—21no—
155C11×#120—21no—
156C4×D4×C11—21no—
157C4×D4×C11—21no—
158C4×D4×C11—21no—
159C4×D4×C11—21no—
160C4×D4×C11—21no—
161C4×D4×C11—21no—
162C4×D4×C11—21no—
163C4×D4×C11—21no—
164C11×#117—21no—
165C11×#117D411yescharacteristic, complemented
166C2×C11×C4⋊C4—21no—
167C2×C11×C4⋊C4D411yescharacteristic
168C2×C11×C4⋊C4D411yescharacteristic, complemented
169C2×C11×C4⋊C4C2311yescharacteristic
170C2×C11×C4⋊C4C2311yescharacteristic
171C2×C11×C22⋊C4—21no—
172C2×C11×C22⋊C4—21no—
173C2×C11×C22⋊C4—21no—
174C2×C11×C22⋊C4—21no—
175C2×C11×C22⋊C4—21no—
176C2×C11×C22⋊C4—21no—
177C2×C11×C22⋊C4—21no—
178C2×C11×C22⋊C4—21no—
179C2×C11×C22⋊C4—21no—
180C2×C11×C22⋊C4D411yescharacteristic
181C2×C11×C22⋊C4D411yescharacteristic
182C2×C11×C22⋊C4C2311yescharacteristic
183C2×C42×C11—21no—
184C11×#107—21no—
185C11×#107—21no—
186C11×#107—21no—
187C11×#106—21no—
188C11×#103—21no—
189C11×#102—21no—
190C11×#102—21no—
191C11×#102—21no—
192C11×#102—21no—
193C11×#102—21no—
194C11×#102—21no—
195C11×#102—21no—
196C11×C22⋊C8—21no—
197C11×C22⋊C8—21no—
198C11×C22⋊C8C2311yescharacteristic
199C11×C22⋊C8C2311yescharacteristic
200C11×C22⋊C8C2311yescharacteristic
201C11×C22⋊C8C2311yescharacteristic
202C11×#95—21no—
203C11×#95—21no—
204C11×#95C2311yescharacteristic
205C11×#95C2311yescharacteristic
206#18414C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C24×C11—21no—
209C24×C11—21no—
210C24×C11C2×D411yescharacteristic
211C24×C11C2×D411yescharacteristic
212C11×#41—81no—
213C11×#41—81no—
214C11×#41—81no—
215C2×Q8×C11—21no—
216C2×Q8×C11C2×D411yescharacteristic
217C2×D4×C11—21no—
218C2×D4×C11—21no—
219C2×D4×C11—21no—
220C2×D4×C11—21no—
221C2×D4×C11—21no—
222C2×D4×C11—21no—
223C2×D4×C11—21no—
224C2×D4×C11—21no—
225C2×D4×C11—21no—
226C2×D4×C11—21no—
227C2×D4×C11—21no—
228C2×D4×C11—21no—
229C2×D4×C11—21no—
230C2×D4×C11—21no—
231C2×D4×C11—21no—
232C2×D4×C11—21no—
233C2×D4×C11—21no—
234C2×D4×C11—21no—
235C2×D4×C11—21no—
236C2×D4×C11—42no—
237C2×D4×C11—41no—
238C2×D4×C11—41no—
239C2×D4×C11—81no—
240C2×D4×C11—81no—
241C2×D4×C11—81no—
242C2×D4×C11—81no—
243C2×D4×C11—81no—
244C2×D4×C11—81no—
245C2×D4×C11—81no—
246C2×D4×C11—81no—
247C2×D4×C11—81no—
248C2×D4×C11—81no—
249C2×D4×C11—81no—
250C2×D4×C11—82no—
251C2×D4×C11C2×D411yescharacteristic
252C2×D4×C11C2×D411yescharacteristic
253C2×D4×C11C2×D411yescharacteristic
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—81no—
265C22×C4×C11C2×D411yescharacteristic
266C22×C4×C11C2×D411yescharacteristic
267C22×C4×C11C2×D411yescharacteristic
268C22×C4×C11C2×D411yescharacteristic
269C22×C4×C11C2×D411yescharacteristic
270C22×C4×C11C2×D411yescharacteristic
271C22×C4×C11C2×D411yescharacteristic
272C22×C4×C11C2×D411yescharacteristic
273C22×C4×C11C2411yescharacteristic
274C11×SD16—81no—
275C11×D8—81no—
276C11×D8—81no—
277C11×D8—81no—
278C11×M16—81no—
279C2×C8×C11—21no—
280C2×C8×C11—21no—
281C2×C8×C11—21no—
282C2×C8×C11—21no—
283C2×C8×C11—81no—
284C11×C4⋊C4—21no—
285C11×C4⋊C4—21no—
286C11×C4⋊C4—21no—
287C11×C4⋊C4—21no—
288C11×C4⋊C4—21no—
289C11×C4⋊C4—21no—
290C11×C4⋊C4—21no—
291C11×C4⋊C4—21no—
292C11×C4⋊C4—21no—
293C11×C4⋊C4—21no—
294C11×C4⋊C4—21no—
295C11×C4⋊C4—21no—
296C11×C4⋊C4—21no—
297C11×C4⋊C4—21no—
298C11×C4⋊C4—21no—
299C11×C4⋊C4—81no—
300C11×C4⋊C4C2×D411yescharacteristic
301C11×C4⋊C4C2×D411yescharacteristic
302C11×C4⋊C4C2×D411yescharacteristic
303C11×C4⋊C4C2×D411yescharacteristic
304C11×C22⋊C4—21no—
305C11×C22⋊C4—21no—
306C11×C22⋊C4—21no—
307C11×C22⋊C4—21no—
308C11×C22⋊C4—21no—
309C11×C22⋊C4—21no—
310C11×C22⋊C4—21no—
311C11×C22⋊C4—21no—
312C11×C22⋊C4—21no—
313C11×C22⋊C4—21no—
314C11×C22⋊C4—21no—
315C11×C22⋊C4—21no—
316C11×C22⋊C4—21no—
317C11×C22⋊C4—21no—
318C11×C22⋊C4—21no—
319C11×C22⋊C4—21no—
320C11×C22⋊C4—21no—
321C11×C22⋊C4—21no—
322C11×C22⋊C4—21no—
323C11×C22⋊C4—21no—
324C11×C22⋊C4—21no—
325C11×C22⋊C4—21no—
326C11×C22⋊C4—21no—
327C11×C22⋊C4—21no—
328C11×C22⋊C4—21no—
329C11×C22⋊C4—42no—
330C11×C22⋊C4—42no—
331C11×C22⋊C4—41no—
332C11×C22⋊C4—41no—
333C11×C22⋊C4—81no—
334C11×C22⋊C4—81no—
335C11×C22⋊C4—81no—
336C42×C11—21no—
337C42×C11—21no—
338C42×C11—21no—
339C42×C11—81no—
340#3534C2×C1111yescharacteristic, complemented
341#3194C2×C1111yescharacteristic, complemented
342#3186C2×C1111yescharacteristic, complemented
343#2661C2×C1111yescharacteristic, complemented
344#1612C2×C1111yescharacteristic, complemented
345#1610C2×C1111yescharacteristic, complemented
346#1609C2×C1111yescharacteristic, complemented
347#1607C2×C1111yescharacteristic, complemented
348#1600C2×C1111yescharacteristic, complemented
349#1598C2×C1111yescharacteristic, complemented
350#1597C2×C1111yescharacteristic, complemented
351#1595C2×C1111yescharacteristic, complemented
352#1507C2×C1111yescharacteristic, complemented
353#1501C2×C1111yescharacteristic, complemented
354#1468C2×C1111yescharacteristic, complemented
355C23×C11—21no—
356C23×C11—21no—
357C23×C11—21no—
358C23×C11—21no—
359C23×C11—21no—
360C23×C11—21no—
361C23×C11—21no—
362C23×C11—21no—
363C23×C11—41no—
364C23×C11—41no—
365C23×C11—42no—
366C23×C11—41no—
367C23×C11—41no—
368C23×C11—41no—
369C23×C11—41no—
370C23×C11—41no—
371C23×C11—41no—
372C23×C11—41no—
373C23×C11—41no—
374C23×C11—41no—
375C23×C11—81no—
376C23×C11—81no—
377C23×C11—81no—
378C23×C11—81no—
379C23×C11—81no—
380C23×C11#12011yescharacteristic
381C23×C11#12011yescharacteristic
382C23×C11C22×D411yescharacteristic
383Q8×C11—41no—
384Q8×C11—81no—
385D4×C11—41no—
386D4×C11—41no—
387D4×C11—41no—
388D4×C11—41no—
389D4×C11—41no—
390D4×C11—41no—
391D4×C11—41no—
392D4×C11—42no—
393D4×C11—42no—
394D4×C11—41no—
395D4×C11—41no—
396D4×C11—41no—
397D4×C11—41no—
398D4×C11—41no—
399D4×C11—41no—
400D4×C11—81no—
401D4×C11—81no—
402D4×C11—81no—
403D4×C11—81no—
404D4×C11—81no—
405D4×C11—81no—
406D4×C11—81no—
407D4×C11—81no—
408D4×C11—81no—
409D4×C11—81no—
410D4×C11—81no—
411D4×C11—81no—
412D4×C11—84no—
413D4×C11—82no—
414D4×C11—82no—
415C2×C4×C11—22no—
416C2×C4×C11—21no—
417C2×C4×C11—21no—
418C2×C4×C11—21no—
419C2×C4×C11—21no—
420C2×C4×C11—21no—
421C2×C4×C11—21no—
422C2×C4×C11—21no—
423C2×C4×C11—21no—
424C2×C4×C11—21no—
425C2×C4×C11—21no—
426C2×C4×C11—41no—
427C2×C4×C11—41no—
428C2×C4×C11—41no—
429C2×C4×C11—41no—
430C2×C4×C11—41no—
431C2×C4×C11—41no—
432C2×C4×C11—41no—
433C2×C4×C11—41no—
434C2×C4×C11—41no—
435C2×C4×C11—41no—
436C2×C4×C11—41no—
437C2×C4×C11—41no—
438C2×C4×C11—41no—
439C2×C4×C11—41no—
440C2×C4×C11—41no—
441C2×C4×C11—41no—
442C2×C4×C11—81no—
443C2×C4×C11—81no—
444C2×C4×C11—81no—
445C2×C4×C11—81no—
446C2×C4×C11—81no—
447C2×C4×C11—81no—
448C2×C4×C11—81no—
449C2×C4×C11#12011yescharacteristic
450C2×C4×C11#12011yescharacteristic
451C2×C4×C11C22×D411yescharacteristic
452C2×C4×C11C22×D411yescharacteristic
453C8×C11—41no—
454C8×C11—41no—
455C8×C11—41no—
456C8×C11—41no—
457#562—21no—
458#560—21no—
459#553—21no—
460#551—21no—
461#546—21no—
462#546—21no—
463#546—21no—
464D42—21no—
465#540—21no—
466#539—21no—
467#539C22×C1111yescharacteristic
468#538—21no—
469#538C22×C1111yescharacteristic
470#537C22×C1111yescharacteristic
471#534—21no—
472#534C22×C1111yescharacteristic
473#525C22×C1111yescharacteristic
474C2×#123C22×C1111yescharacteristic
475C2×#121C22×C1111yescharacteristic
476C2×#121C22×C1111yescharacteristic, complemented
477#483C22×C1111yescharacteristic, complemented
478#482—21no—
479#480—21no—
480#480C22×C1111yescharacteristic
481#480C22×C1111yescharacteristic, complemented
482#480C22×C1111yescharacteristic, complemented
483#469—21no—
484#468—21no—
485#466—21no—
486#466—21no—
487#450C22×C1111yescharacteristic, complemented
488#449—21no—
489#447—21no—
490#447C22×C1111yescharacteristic
491#447C22×C1111yescharacteristic, complemented
492#447C22×C1111yescharacteristic, complemented
493#407C22×C1111yescharacteristic, complemented
494C2×C22⋊C8C22×C1111yescharacteristic, complemented
495#398C22×C1111yescharacteristic, complemented
496#397C22×C1111yescharacteristic, complemented
497#394—21no—
498#394C22×C1111yescharacteristic, complemented
499#392—21no—
500#392C22×C1111yescharacteristic, complemented
501#390—21no—
502#388—21no—
503C4×C22⋊C4C22×C1111yescharacteristic, complemented
504#328C22×C1111yescharacteristic, complemented
505#328C22×C1111yescharacteristic, complemented
506#327C22×C1111yescharacteristic
507#327C22×C1111yescharacteristic
508#327C22×C1111yescharacteristic, complemented
509#327C22×C1111yescharacteristic, complemented
510#327C22×C1111yescharacteristic, complemented
511#327C22×C1111yescharacteristic, complemented
512#324C22×C1111yescharacteristic, complemented
513#324C22×C1111yescharacteristic, complemented
514#323C22×C1111yescharacteristic, complemented
515#323C22×C1111yescharacteristic, complemented
516C22×C11—21no—
517C22×C11—21no—
518C22×C11—21no—
519C22×C11—21no—
520C22×C11—21no—
521C22×C11—21no—
522C22×C11—21no—
523C22×C11—21no—
524C22×C11—41no—
525C22×C11—41no—
526C22×C11—41no—
527C22×C11—41no—
528C22×C11—41no—
529C22×C11—41no—
530C22×C11—41no—
531C22×C11—41no—
532C22×C11—41no—
533C22×C11—41no—
534C22×C11—41no—
535C22×C11—41no—
536C22×C11—81no—
537C22×C11—81no—
538C22×C11—81no—
539C22×C11—81no—
540C22×C11—81no—
541C22×C11—81no—
542C22×C11—81no—
543C22×C11—81no—
544C22×C11—81no—
545C22×C11—81no—
546C22×C11—81no—
547C22×C11—162no—
548C22×C11—162no—
549C22×C11C2×#12011yescharacteristic
550C22×C11#57611yescharacteristic
551C22×C11#57611yescharacteristic
552C4×C11—21no—
553C4×C11—21no—
554C4×C11—21no—
555C4×C11—21no—
556C4×C11—42no—
557C4×C11—41no—
558C4×C11—41no—
559C4×C11—41no—
560C4×C11—41no—
561C4×C11—41no—
562C4×C11—41no—
563C4×C11—41no—
564C4×C11—41no—
565C4×C11—81no—
566C4×C11—81no—
567C2×#41—21no—
568C2×#41D4×C1111yescharacteristic, complemented
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4D4×C1111yescharacteristic
575C22×D4D4×C1111yescharacteristic, complemented
576C22×D4C23×C1111yescharacteristic
577C23×C4C23×C1111yescharacteristic
578C2×SD16—21no—
579C2×D8—21no—
580C2×D8—21no—
581C2×D8—21no—
582C2×M16—21no—
583C22×C8—21no—
584#127—21no—
585#126—21no—
586#126—21no—
587#126—21no—
588#126—21no—
589#125—21no—
590#125—21no—
591#124—21no—
592#124—21no—
593#124—21no—
594#123—21no—
595#123—21no—
596#123—21no—
597#123—21no—
598#123—21no—
599#123—21no—
600#123—21no—
601#123—21no—
602#123—21no—
603#123—21no—
604#123—21no—
605#123—21no—
606#123—21no—
607#123—21no—
608C22⋊Q8—21no—
609C22⋊Q8—21no—
610C22⋊Q8—21no—
611C22⋊Q8—21no—
612C22⋊Q8—21no—
613C22⋊Q8D4×C1111yescharacteristic, complemented
614C22⋊Q8C23×C1111yescharacteristic
615#121—21no—
616#121—21no—
617#121—21no—
618#121—21no—
619#121—21no—
620#121—21no—
621#121—21no—
622#121—21no—
623#121—21no—
624#121—21no—
625#121—21no—
626#121—21no—
627#121—21no—
628#121—21no—
629#121—21no—
630#121—21no—
631#121—21no—
632#121—21no—
633#121—21no—
634#121D4×C1111yescharacteristic, complemented
635#121D4×C1111yescharacteristic, complemented
636#121D4×C1111yescharacteristic, complemented
637#121C23×C1111yescharacteristic
638#121C23×C1111yescharacteristic
639#121C23×C1111yescharacteristic
640#120—21no—
641#120—21no—
642#120—21no—
643#120—21no—
644#120—21no—
645#120—21no—
646#120—21no—
647#120—21no—
648C4×D4—21no—
649C4×D4—21no—
650C4×D4—21no—
651C4×D4—21no—
652C4×D4—21no—
653C4×D4—21no—
654C4×D4—21no—
655C4×D4—21no—
656#117—21no—
657#117D4×C1111yescharacteristic, complemented
658C2×C4⋊C4—21no—
659C2×C4⋊C4D4×C1111yescharacteristic
660C2×C4⋊C4D4×C1111yescharacteristic, complemented
661C2×C4⋊C4C23×C1111yescharacteristic
662C2×C4⋊C4C23×C1111yescharacteristic
663C2×C22⋊C4—21no—
664C2×C22⋊C4—21no—
665C2×C22⋊C4—21no—
666C2×C22⋊C4—21no—
667C2×C22⋊C4—21no—
668C2×C22⋊C4—21no—
669C2×C22⋊C4—21no—
670C2×C22⋊C4—21no—
671C2×C22⋊C4—21no—
672C2×C22⋊C4D4×C1111yescharacteristic
673C2×C22⋊C4D4×C1111yescharacteristic
674C2×C22⋊C4C23×C1111yescharacteristic
675C2×C42—21no—
676#107—21no—
677#107—21no—
678#107—21no—
679#106—21no—
680#103—21no—
681#102—21no—
682#102—21no—
683#102—21no—
684#102—21no—
685#102—21no—
686#102—21no—
687#102—21no—
688C22⋊C8—21no—
689C22⋊C8—21no—
690C22⋊C8C23×C1111yescharacteristic
691C22⋊C8C23×C1111yescharacteristic
692C22⋊C8C23×C1111yescharacteristic
693C22⋊C8C23×C1111yescharacteristic
694#95—21no—
695#95—21no—
696#95C23×C1111yescharacteristic
697#95C23×C1111yescharacteristic
698C2×C11—21no—
699C2×C11—21no—
700C2×C11—41no—
701C2×C11—41no—
702C2×C11—81no—
703C2×C11—81no—
704C2×C11—81no—
705C2×C11—81no—
706C2×C11—161no—
707C2×C11#300811yescharacteristic
708C2×C11#301811yescharacteristic
709C2×C11#302611yescharacteristic
710C24—21no—
711C24—21no—
712C24—21no—
713C24C2×D4×C1111yescharacteristic
714C24C2×D4×C1111yescharacteristic
715#41—81no—
716#41—81no—
717#41—81no—
718C2×Q8—21no—
719C2×Q8C2×D4×C1111yescharacteristic
720C2×D4—21no—
721C2×D4—21no—
722C2×D4—21no—
723C2×D4—21no—
724C2×D4—21no—
725C2×D4—21no—
726C2×D4—21no—
727C2×D4—21no—
728C2×D4—21no—
729C2×D4—21no—
730C2×D4—21no—
731C2×D4—21no—
732C2×D4—21no—
733C2×D4—21no—
734C2×D4—21no—
735C2×D4—21no—
736C2×D4—21no—
737C2×D4—21no—
738C2×D4—21no—
739C2×D4—42no—
740C2×D4—41no—
741C2×D4—41no—
742C2×D4—81no—
743C2×D4—81no—
744C2×D4—81no—
745C2×D4—81no—
746C2×D4—81no—
747C2×D4—81no—
748C2×D4—81no—
749C2×D4—81no—
750C2×D4—81no—
751C2×D4—81no—
752C2×D4—81no—
753C2×D4—82no—
754C2×D4C2×D4×C1111yescharacteristic
755C2×D4C2×D4×C1111yescharacteristic
756C2×D4C2×D4×C1111yescharacteristic
757C22×C4—21no—
758C22×C4—21no—
759C22×C4—21no—
760C22×C4—21no—
761C22×C4—21no—
762C22×C4—21no—
763C22×C4—21no—
764C22×C4—21no—
765C22×C4—21no—
766C22×C4—21no—
767C22×C4—81no—
768C22×C4C2×D4×C1111yescharacteristic
769C22×C4C2×D4×C1111yescharacteristic
770C22×C4C2×D4×C1111yescharacteristic
771C22×C4C2×D4×C1111yescharacteristic
772C22×C4C2×D4×C1111yescharacteristic
773C22×C4C2×D4×C1111yescharacteristic
774C22×C4C2×D4×C1111yescharacteristic
775C22×C4C2×D4×C1111yescharacteristic
776C22×C4C24×C1111yescharacteristic
777SD16—81no—
778D8—81no—
779D8—81no—
780D8—81no—
781M16—81no—
782C2×C8—21no—
783C2×C8—21no—
784C2×C8—21no—
785C2×C8—21no—
786C2×C8—81no—
787C4⋊C4—21no—
788C4⋊C4—21no—
789C4⋊C4—21no—
790C4⋊C4—21no—
791C4⋊C4—21no—
792C4⋊C4—21no—
793C4⋊C4—21no—
794C4⋊C4—21no—
795C4⋊C4—21no—
796C4⋊C4—21no—
797C4⋊C4—21no—
798C4⋊C4—21no—
799C4⋊C4—21no—
800C4⋊C4—21no—
801C4⋊C4—21no—
802C4⋊C4—81no—
803C4⋊C4C2×D4×C1111yescharacteristic
804C4⋊C4C2×D4×C1111yescharacteristic
805C4⋊C4C2×D4×C1111yescharacteristic
806C4⋊C4C2×D4×C1111yescharacteristic
807C22⋊C4—21no—
808C22⋊C4—21no—
809C22⋊C4—21no—
810C22⋊C4—21no—
811C22⋊C4—21no—
812C22⋊C4—21no—
813C22⋊C4—21no—
814C22⋊C4—21no—
815C22⋊C4—21no—
816C22⋊C4—21no—
817C22⋊C4—21no—
818C22⋊C4—21no—
819C22⋊C4—21no—
820C22⋊C4—21no—
821C22⋊C4—21no—
822C22⋊C4—21no—
823C22⋊C4—21no—
824C22⋊C4—21no—
825C22⋊C4—21no—
826C22⋊C4—21no—
827C22⋊C4—21no—
828C22⋊C4—21no—
829C22⋊C4—21no—
830C22⋊C4—21no—
831C22⋊C4—21no—
832C22⋊C4—42no—
833C22⋊C4—42no—
834C22⋊C4—41no—
835C22⋊C4—41no—
836C22⋊C4—81no—
837C22⋊C4—81no—
838C22⋊C4—81no—
839C42—21no—
840C42—21no—
841C42—21no—
842C42—81no—
843C11#1841411yescharacteristic, direct product factor, Sylow
844C23—21no—
845C23—21no—
846C23—21no—
847C23—21no—
848C23—21no—
849C23—21no—
850C23—21no—
851C23—21no—
852C23—41no—
853C23—41no—
854C23—42no—
855C23—41no—
856C23—41no—
857C23—41no—
858C23—41no—
859C23—41no—
860C23—41no—
861C23—41no—
862C23—41no—
863C23—41no—
864C23—81no—
865C23—81no—
866C23—81no—
867C23—81no—
868C23—81no—
869C23C11×#12011yescharacteristic
870C23C11×#12011yescharacteristic
871C23C22×D4×C1111yescharacteristic
872Q8—41no—
873Q8—81no—
874D4—41no—
875D4—41no—
876D4—41no—
877D4—41no—
878D4—41no—
879D4—41no—
880D4—41no—
881D4—42no—
882D4—42no—
883D4—41no—
884D4—41no—
885D4—41no—
886D4—41no—
887D4—41no—
888D4—41no—
889D4—81no—
890D4—81no—
891D4—81no—
892D4—81no—
893D4—81no—
894D4—81no—
895D4—81no—
896D4—81no—
897D4—81no—
898D4—81no—
899D4—81no—
900D4—81no—
901D4—84no—
902D4—82no—
903D4—82no—
904C2×C4—22no—
905C2×C4—21no—
906C2×C4—21no—
907C2×C4—21no—
908C2×C4—21no—
909C2×C4—21no—
910C2×C4—21no—
911C2×C4—21no—
912C2×C4—21no—
913C2×C4—21no—
914C2×C4—21no—
915C2×C4—41no—
916C2×C4—41no—
917C2×C4—41no—
918C2×C4—41no—
919C2×C4—41no—
920C2×C4—41no—
921C2×C4—41no—
922C2×C4—41no—
923C2×C4—41no—
924C2×C4—41no—
925C2×C4—41no—
926C2×C4—41no—
927C2×C4—41no—
928C2×C4—41no—
929C2×C4—41no—
930C2×C4—41no—
931C2×C4—81no—
932C2×C4—81no—
933C2×C4—81no—
934C2×C4—81no—
935C2×C4—81no—
936C2×C4—81no—
937C2×C4—81no—
938C2×C4C11×#12011yescharacteristic
939C2×C4C11×#12011yescharacteristic
940C2×C4C22×D4×C1111yescharacteristic
941C2×C4C22×D4×C1111yescharacteristic
942C8—41no—
943C8—41no—
944C8—41no—
945C8—41no—
946C22—21no—
947C22—21no—
948C22—21no—
949C22—21no—
950C22—21no—
951C22—21no—
952C22—21no—
953C22—21no—
954C22—41no—
955C22—41no—
956C22—41no—
957C22—41no—
958C22—41no—
959C22—41no—
960C22—41no—
961C22—41no—
962C22—41no—
963C22—41no—
964C22—41no—
965C22—41no—
966C22—81no—
967C22—81no—
968C22—81no—
969C22—81no—
970C22—81no—
971C22—81no—
972C22—81no—
973C22—81no—
974C22—81no—
975C22—81no—
976C22—81no—
977C22—162no—
978C22—162no—
979C22C2×C11×#12011yescharacteristic
980C22C11×#57611yescharacteristic
981C22C11×#57611yescharacteristic
982C4—21no—
983C4—21no—
984C4—21no—
985C4—21no—
986C4—42no—
987C4—41no—
988C4—41no—
989C4—41no—
990C4—41no—
991C4—41no—
992C4—41no—
993C4—41no—
994C4—41no—
995C4—81no—
996C4—81no—
997C2—21no—
998C2—21no—
999C2—41no—
1000C2—41no—
1001C2—81no—
1002C2—81no—
1003C2—81no—
1004C2—81no—
1005C2—161no—
1006C2C11×#300811yescharacteristic
1007C2C11×#301811yescharacteristic
1008C2C11×#302611yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3534C2semidirect
2. C11×#3194C2semidirect
3. C11×#3186C2semidirect
4. C11×#2661C2semidirect
5. C11×#1612C2semidirect
6. C11×#1610C2semidirect
7. C11×#1609C2semidirect
8. C11×#1607C2semidirect
9. C11×#1600C2semidirect
10. C11×#1598C2semidirect
11. C11×#1597C2semidirect
12. C11×#1595C2semidirect
13. C11×#1507C2semidirect
14. C11×#1501C2semidirect
15. C11×#1468C2semidirect
35. C2×C11×#121C22semidirect
36. C11×#483C22semidirect
40. C11×#480C22semidirect
41. C11×#480C22semidirect
46. C11×#450C22semidirect
50. C11×#447C22semidirect
51. C11×#447C22semidirect
52. C11×#407C22semidirect
53. C2×C11×C22⋊C8C22semidirect
54. C11×#398C22semidirect
55. C11×#397C22semidirect
57. C11×#394C22semidirect
59. C11×#392C22semidirect
62. C4×C11×C22⋊C4C22semidirect
63. C11×#328C22semidirect
64. C11×#328C22semidirect
67. C11×#327C22semidirect
68. C11×#327C22semidirect
69. C11×#327C22semidirect
70. C11×#327C22semidirect
71. C11×#324C22semidirect
72. C11×#324C22semidirect
73. C11×#323C22semidirect
74. C11×#323C22semidirect
76. C2×C11×#41D4semidirect
83. C22×D4×C11D4semidirect
121. C11×C22⋊Q8D4semidirect
142. C11×#121D4semidirect
143. C11×#121D4semidirect
144. C11×#121D4semidirect
165. C11×#117D4semidirect
168. C2×C11×C4⋊C4D4semidirect
206. #18414C11direct (N × H)
340. #3534C2×C11semidirect
341. #3194C2×C11semidirect
342. #3186C2×C11semidirect
343. #2661C2×C11semidirect
344. #1612C2×C11semidirect
345. #1610C2×C11semidirect
346. #1609C2×C11semidirect
347. #1607C2×C11semidirect
348. #1600C2×C11semidirect
349. #1598C2×C11semidirect
350. #1597C2×C11semidirect
351. #1595C2×C11semidirect
352. #1507C2×C11semidirect
353. #1501C2×C11semidirect
354. #1468C2×C11semidirect
476. C2×#121C22×C11semidirect
477. #483C22×C11semidirect
481. #480C22×C11semidirect
482. #480C22×C11semidirect
487. #450C22×C11semidirect
491. #447C22×C11semidirect
492. #447C22×C11semidirect
493. #407C22×C11semidirect
494. C2×C22⋊C8C22×C11semidirect
495. #398C22×C11semidirect
496. #397C22×C11semidirect
498. #394C22×C11semidirect
500. #392C22×C11semidirect
503. C4×C22⋊C4C22×C11semidirect
504. #328C22×C11semidirect
505. #328C22×C11semidirect
508. #327C22×C11semidirect
509. #327C22×C11semidirect
510. #327C22×C11semidirect
511. #327C22×C11semidirect
512. #324C22×C11semidirect
513. #324C22×C11semidirect
514. #323C22×C11semidirect
515. #323C22×C11semidirect
568. C2×#41D4×C11semidirect
575. C22×D4D4×C11semidirect
613. C22⋊Q8D4×C11semidirect
634. #121D4×C11semidirect
635. #121D4×C11semidirect
636. #121D4×C11semidirect
657. #117D4×C11semidirect
660. C2×C4⋊C4D4×C11semidirect
843. C11#18414direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35342
C11×#31942
C11×#31862
C11×#26612
C11×#16122
C11×#16102
C11×#16092
C11×#16072
C11×#16002
C11×#15982
C11×#15972
C11×#15952
C11×#15072
C11×#15012
C11×#14682
#1841411