Finite Group Databasebeta

← C11×#18434 #14595627

Subgroups — C11×#18434 #14595627

Order 2816.

982 conjugacy classes of subgroups.

The subgroup lattice has 964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3560C211yesmaximal, characteristic, complemented
2C11×#3213C211yesmaximal, characteristic, complemented
3C11×#3211C211yesmaximal, characteristic, complemented
4C11×#2662C211yesmaximal, characteristic, complemented
5C11×#1606C211yesmaximal, characteristic, complemented
6C11×#1604C211yesmaximal, characteristic, complemented
7C11×#1603C211yesmaximal, characteristic, complemented
8C11×#1601C211yesmaximal, characteristic, complemented
9C11×#1600C211yesmaximal, characteristic, complemented
10C11×#1598C211yesmaximal, characteristic, complemented
11C11×#1597C211yesmaximal, characteristic, complemented
12C11×#1595C211yesmaximal, characteristic, complemented
13C11×#1509C211yesmaximal, characteristic, complemented
14C11×#1502C211yesmaximal, characteristic, complemented
15C11×#1473C211yesmaximal, characteristic, complemented
16C11×#563—21no—
17C11×#560—21no—
18C11×#553—21no—
19C11×#553—21no—
20C11×#551—21no—
21C11×#547—21no—
22C11×#546—21no—
23C11×#546—21no—
24C11×#542—21no—
25C11×#539—21no—
26C11×#539C2211yescharacteristic
27C11×#538—21no—
28C11×#538—21no—
29C11×#538C2211yescharacteristic
30C11×#537C2211yescharacteristic
31C11×#534C2211yescharacteristic
32C11×#532C2211yescharacteristic
33C11×#529C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic, complemented
36C11×#496—21no—
37C11×#495—21no—
38C11×#489—21no—
39C11×#488—21no—
40C11×#464—21no—
41C11×#463—21no—
42C11×#463—21no—
43C11×#463—21no—
44C11×#451C2211yescharacteristic, complemented
45C11×#450C2211yescharacteristic, complemented
46C11×#448C2211yescharacteristic
47C11×#448C2211yescharacteristic
48C11×#448C2211yescharacteristic, complemented
49C11×#447C2211yescharacteristic
50C11×#447C2211yescharacteristic
51C11×#447C2211yescharacteristic, complemented
52C11×#432C2211yescharacteristic, complemented
53C11×#431C2211yescharacteristic, complemented
54C11×#396—21no—
55C11×#395C2211yescharacteristic, complemented
56C11×#394—21no—
57C11×#394C2211yescharacteristic, complemented
58C11×#393C2211yescharacteristic
59C11×#392C2211yescharacteristic
60C11×#390—21no—
61C11×#388—21no—
62C4×C11×C4⋊C4C2211yescharacteristic, complemented
63C11×#328C2211yescharacteristic, complemented
64C11×#328C2211yescharacteristic, complemented
65C11×#327C2211yescharacteristic
66C11×#327C2211yescharacteristic
67C11×#327C2211yescharacteristic
68C11×#327C2211yescharacteristic
69C11×#327C2211yescharacteristic, complemented
70C11×#327C2211yescharacteristic, complemented
71C11×#324C2211yescharacteristic, complemented
72C11×#324C2211yescharacteristic, complemented
73C11×#323C2211yescharacteristic
74C11×#323C2211yescharacteristic
75C2×C11×#41—21no—
76C2×C11×#41—21no—
77C22×Q8×C11C2311yescharacteristic
78C22×D4×C11—21no—
79C22×D4×C11—21no—
80C22×D4×C11C2311yescharacteristic
81C2×C11×Q16—21no—
82C2×C11×SD16—21no—
83C2×C11×SD16—21no—
84C2×C11×SD16—21no—
85C2×C11×SD16—21no—
86C2×C11×D8—21no—
87C2×C11×D8—21no—
88C2×C11×D8—21no—
89C11×C4⋊Q8—21no—
90C11×C4⋊Q8D411yescharacteristic, complemented
91C11×#127D411yescharacteristic, complemented
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#126—21no—
97C11×#126—21no—
98C11×#126—21no—
99C11×#126—21no—
100C11×#126—21no—
101C11×#125—21no—
102C11×#125—21no—
103C11×#125D411yescharacteristic, complemented
104C11×#124—21no—
105C11×#124—21no—
106C11×#124—21no—
107C11×#124—21no—
108C11×#124—21no—
109C11×#124—21no—
110C11×#124—21no—
111C11×#124—21no—
112C11×#124D411yescharacteristic, complemented
113C11×#123—21no—
114C11×#123—21no—
115C11×#123—21no—
116C11×#123—21no—
117C11×#123—21no—
118C11×#123—21no—
119C11×#123—21no—
120C11×#123—21no—
121C11×#123—21no—
122C11×#123—21no—
123C11×#123—21no—
124C11×#123—21no—
125C11×C22⋊Q8—21no—
126C11×C22⋊Q8—21no—
127C11×C22⋊Q8—21no—
128C11×C22⋊Q8—21no—
129C11×C22⋊Q8—21no—
130C11×C22⋊Q8—21no—
131C11×C22⋊Q8—21no—
132C11×C22⋊Q8C2311yescharacteristic
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×#121—21no—
143C11×#121—21no—
144C11×#121—21no—
145C11×#121C2311yescharacteristic
146C11×#121C2311yescharacteristic
147C11×#121C2311yescharacteristic
148C11×#120—21no—
149C11×#120—21no—
150C11×#120—21no—
151C11×#120—21no—
152C11×#120—21no—
153C4×Q8×C11D411yescharacteristic, complemented
154C4×D4×C11—21no—
155C4×D4×C11—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×C11D411yescharacteristic, complemented
163C4×D4×C11D411yescharacteristic, complemented
164C4×D4×C11D411yescharacteristic, complemented
165C11×#117—21no—
166C11×#117—21no—
167C2×C11×C4⋊C4—21no—
168C2×C11×C4⋊C4—21no—
169C2×C11×C4⋊C4—21no—
170C2×C11×C4⋊C4D411yescharacteristic
171C2×C11×C4⋊C4D411yescharacteristic
172C2×C11×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
181C2×C11×C22⋊C4D411yescharacteristic
182C2×C11×C22⋊C4D411yescharacteristic
183C2×C11×C22⋊C4C2311yescharacteristic
184C2×C42×C11—21no—
185C2×C42×C11C2311yescharacteristic
186C11×C4⋊C8—21no—
187C11×C4⋊C8—21no—
188C11×#103—21no—
189C11×#103—21no—
190C11×#103—21no—
191C11×#103—21no—
192C11×#102—21no—
193C11×#102—21no—
194C11×#102—21no—
195C11×#102—21no—
196C11×C22⋊C8C2311yescharacteristic
197C11×C22⋊C8C2311yescharacteristic
198C11×C22⋊C8C2311yescharacteristic
199C11×C22⋊C8C2311yescharacteristic
200C11×#97—21no—
201C4×C8×C11—21no—
202C11×#95—21no—
203C11×#95—21no—
204C11×#95C2311yescharacteristic
205C11×#95C2311yescharacteristic
206#18434C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C24×C11—21no—
209C24×C11C2×D411yescharacteristic
210C11×#41—81no—
211C11×#41—81no—
212C11×#41—81no—
213C11×#41—81no—
214C2×Q8×C11—21no—
215C2×Q8×C11—21no—
216C2×Q8×C11—21no—
217C2×Q8×C11—21no—
218C2×Q8×C11—81no—
219C2×Q8×C11C2×D411yescharacteristic
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—42no—
235C2×D4×C11—81no—
236C2×D4×C11—81no—
237C2×D4×C11—81no—
238C2×D4×C11—81no—
239C2×D4×C11—81no—
240C2×D4×C11C2×D411yescharacteristic
241C2×D4×C11C2×D411yescharacteristic
242C2×D4×C11C2×D411yescharacteristic
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×C11C2×D411yescharacteristic
255C22×C4×C11C2×D411yescharacteristic
256C22×C4×C11C2×D411yescharacteristic
257C22×C4×C11C2×D411yescharacteristic
258C22×C4×C11C2×D411yescharacteristic
259C22×C4×C11C2411yescharacteristic
260C11×Q16—81no—
261C11×SD16—81no—
262C11×SD16—81no—
263C11×SD16—81no—
264C11×SD16—81no—
265C11×D8—81no—
266C11×D8—81no—
267C11×D8—81no—
268C2×C8×C11—21no—
269C2×C8×C11—21no—
270C2×C8×C11—21no—
271C2×C8×C11—21no—
272C11×C4⋊C4—21no—
273C11×C4⋊C4—21no—
274C11×C4⋊C4—21no—
275C11×C4⋊C4—21no—
276C11×C4⋊C4—21no—
277C11×C4⋊C4—21no—
278C11×C4⋊C4—21no—
279C11×C4⋊C4—21no—
280C11×C4⋊C4—21no—
281C11×C4⋊C4—21no—
282C11×C4⋊C4—21no—
283C11×C4⋊C4—21no—
284C11×C4⋊C4—21no—
285C11×C4⋊C4—21no—
286C11×C4⋊C4—21no—
287C11×C4⋊C4—21no—
288C11×C4⋊C4—21no—
289C11×C4⋊C4—42no—
290C11×C4⋊C4—81no—
291C11×C4⋊C4C2×D411yescharacteristic
292C11×C4⋊C4C2×D411yescharacteristic
293C11×C4⋊C4C2×D411yescharacteristic
294C11×C4⋊C4C2×D411yescharacteristic
295C11×C22⋊C4—21no—
296C11×C22⋊C4—21no—
297C11×C22⋊C4—21no—
298C11×C22⋊C4—21no—
299C11×C22⋊C4—21no—
300C11×C22⋊C4—21no—
301C11×C22⋊C4—21no—
302C11×C22⋊C4—21no—
303C11×C22⋊C4—21no—
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—42no—
321C11×C22⋊C4—41no—
322C11×C22⋊C4—41no—
323C11×C22⋊C4—41no—
324C11×C22⋊C4—41no—
325C11×C22⋊C4—81no—
326C11×C22⋊C4—81no—
327C11×C22⋊C4—81no—
328C42×C11—21no—
329C42×C11—21no—
330C42×C11—21no—
331C42×C11—81no—
332C42×C11C2×D411yescharacteristic
333C42×C11C2×D411yescharacteristic
334C42×C11C2×D411yescharacteristic
335C42×C11C2×D411yescharacteristic
336#3560C2×C1111yescharacteristic, complemented
337#3213C2×C1111yescharacteristic, complemented
338#3211C2×C1111yescharacteristic, complemented
339#2662C2×C1111yescharacteristic, complemented
340#1606C2×C1111yescharacteristic, complemented
341#1604C2×C1111yescharacteristic, complemented
342#1603C2×C1111yescharacteristic, complemented
343#1601C2×C1111yescharacteristic, complemented
344#1600C2×C1111yescharacteristic, complemented
345#1598C2×C1111yescharacteristic, complemented
346#1597C2×C1111yescharacteristic, complemented
347#1595C2×C1111yescharacteristic, complemented
348#1509C2×C1111yescharacteristic, complemented
349#1502C2×C1111yescharacteristic, complemented
350#1473C2×C1111yescharacteristic, complemented
351C23×C11—21no—
352C23×C11—21no—
353C23×C11—21no—
354C23×C11—21no—
355C23×C11—21no—
356C23×C11—21no—
357C23×C11—41no—
358C23×C11—41no—
359C23×C11—41no—
360C23×C11—41no—
361C23×C11—41no—
362C23×C11—41no—
363C23×C11—41no—
364C23×C11—41no—
365C23×C11—41no—
366C23×C11—81no—
367C23×C11—81no—
368C23×C11—81no—
369C23×C11C22×D411yescharacteristic
370Q8×C11—41no—
371Q8×C11—41no—
372Q8×C11—41no—
373Q8×C11—41no—
374Q8×C11—41no—
375Q8×C11—81no—
376Q8×C11—81no—
377D4×C11—41no—
378D4×C11—41no—
379D4×C11—41no—
380D4×C11—41no—
381D4×C11—41no—
382D4×C11—41no—
383D4×C11—41no—
384D4×C11—41no—
385D4×C11—41no—
386D4×C11—41no—
387D4×C11—41no—
388D4×C11—41no—
389D4×C11—41no—
390D4×C11—81no—
391D4×C11—81no—
392D4×C11—81no—
393D4×C11—81no—
394D4×C11—81no—
395D4×C11—81no—
396D4×C11—81no—
397D4×C11—81no—
398D4×C11—81no—
399D4×C11—84no—
400C2×C4×C11—21no—
401C2×C4×C11—21no—
402C2×C4×C11—22no—
403C2×C4×C11—21no—
404C2×C4×C11—21no—
405C2×C4×C11—21no—
406C2×C4×C11—21no—
407C2×C4×C11—21no—
408C2×C4×C11—21no—
409C2×C4×C11—21no—
410C2×C4×C11—21no—
411C2×C4×C11—21no—
412C2×C4×C11—21no—
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—
424C2×C4×C11—41no—
425C2×C4×C11—81no—
426C2×C4×C11—81no—
427C2×C4×C11—81no—
428C2×C4×C11—81no—
429C2×C4×C11—81no—
430C2×C4×C11—81no—
431C2×C4×C11—81no—
432C2×C4×C11—81no—
433C2×C4×C11#12011yescharacteristic
434C2×C4×C11#12011yescharacteristic
435C2×C4×C11#12011yescharacteristic
436C2×C4×C11#12011yescharacteristic
437C2×C4×C11C22×D411yescharacteristic
438C2×C4×C11C22×D411yescharacteristic
439C8×C11—41no—
440C8×C11—41no—
441C8×C11—41no—
442C8×C11—41no—
443#563—21no—
444#560—21no—
445#553—21no—
446#553—21no—
447#551—21no—
448#547—21no—
449#546—21no—
450#546—21no—
451#542—21no—
452#539—21no—
453#539C22×C1111yescharacteristic
454#538—21no—
455#538—21no—
456#538C22×C1111yescharacteristic
457#537C22×C1111yescharacteristic
458#534C22×C1111yescharacteristic
459#532C22×C1111yescharacteristic
460#529C22×C1111yescharacteristic
461C2×#126C22×C1111yescharacteristic
462C2×#124C22×C1111yescharacteristic, complemented
463#496—21no—
464#495—21no—
465#489—21no—
466#488—21no—
467#464—21no—
468#463—21no—
469#463—21no—
470#463—21no—
471#451C22×C1111yescharacteristic, complemented
472#450C22×C1111yescharacteristic, complemented
473#448C22×C1111yescharacteristic
474#448C22×C1111yescharacteristic
475#448C22×C1111yescharacteristic, complemented
476#447C22×C1111yescharacteristic
477#447C22×C1111yescharacteristic
478#447C22×C1111yescharacteristic, complemented
479#432C22×C1111yescharacteristic, complemented
480#431C22×C1111yescharacteristic, complemented
481#396—21no—
482#395C22×C1111yescharacteristic, complemented
483#394—21no—
484#394C22×C1111yescharacteristic, complemented
485#393C22×C1111yescharacteristic
486#392C22×C1111yescharacteristic
487#390—21no—
488#388—21no—
489C4×C4⋊C4C22×C1111yescharacteristic, complemented
490#328C22×C1111yescharacteristic, complemented
491#328C22×C1111yescharacteristic, complemented
492#327C22×C1111yescharacteristic
493#327C22×C1111yescharacteristic
494#327C22×C1111yescharacteristic
495#327C22×C1111yescharacteristic
496#327C22×C1111yescharacteristic, complemented
497#327C22×C1111yescharacteristic, complemented
498#324C22×C1111yescharacteristic, complemented
499#324C22×C1111yescharacteristic, complemented
500#323C22×C1111yescharacteristic
501#323C22×C1111yescharacteristic
502C22×C11—21no—
503C22×C11—21no—
504C22×C11—41no—
505C22×C11—41no—
506C22×C11—41no—
507C22×C11—41no—
508C22×C11—41no—
509C22×C11—41no—
510C22×C11—41no—
511C22×C11—41no—
512C22×C11—41no—
513C22×C11—41no—
514C22×C11—41no—
515C22×C11—41no—
516C22×C11—81no—
517C22×C11—81no—
518C22×C11—81no—
519C22×C11—81no—
520C22×C11—81no—
521C22×C11—81no—
522C22×C11—81no—
523C22×C11—81no—
524C22×C11—81no—
525C22×C11—162no—
526C22×C11C2×#12011yescharacteristic
527C22×C11#57611yescharacteristic
528C22×C11#57711yescharacteristic
529C4×C11—21no—
530C4×C11—21no—
531C4×C11—21no—
532C4×C11—21no—
533C4×C11—21no—
534C4×C11—21no—
535C4×C11—42no—
536C4×C11—41no—
537C4×C11—41no—
538C4×C11—41no—
539C4×C11—41no—
540C4×C11—41no—
541C4×C11—41no—
542C4×C11—41no—
543C4×C11—41no—
544C4×C11—81no—
545C4×C11—81no—
546C2×#41—21no—
547C2×#41—21no—
548C22×Q8C23×C1111yescharacteristic
549C22×D4—21no—
550C22×D4—21no—
551C22×D4C23×C1111yescharacteristic
552C2×Q16—21no—
553C2×SD16—21no—
554C2×SD16—21no—
555C2×SD16—21no—
556C2×SD16—21no—
557C2×D8—21no—
558C2×D8—21no—
559C2×D8—21no—
560C4⋊Q8—21no—
561C4⋊Q8D4×C1111yescharacteristic, complemented
562#127D4×C1111yescharacteristic, complemented
563#126—21no—
564#126—21no—
565#126—21no—
566#126—21no—
567#126—21no—
568#126—21no—
569#126—21no—
570#126—21no—
571#126—21no—
572#125—21no—
573#125—21no—
574#125D4×C1111yescharacteristic, complemented
575#124—21no—
576#124—21no—
577#124—21no—
578#124—21no—
579#124—21no—
580#124—21no—
581#124—21no—
582#124—21no—
583#124D4×C1111yescharacteristic, complemented
584#123—21no—
585#123—21no—
586#123—21no—
587#123—21no—
588#123—21no—
589#123—21no—
590#123—21no—
591#123—21no—
592#123—21no—
593#123—21no—
594#123—21no—
595#123—21no—
596C22⋊Q8—21no—
597C22⋊Q8—21no—
598C22⋊Q8—21no—
599C22⋊Q8—21no—
600C22⋊Q8—21no—
601C22⋊Q8—21no—
602C22⋊Q8—21no—
603C22⋊Q8C23×C1111yescharacteristic
604#121—21no—
605#121—21no—
606#121—21no—
607#121—21no—
608#121—21no—
609#121—21no—
610#121—21no—
611#121—21no—
612#121—21no—
613#121—21no—
614#121—21no—
615#121—21no—
616#121C23×C1111yescharacteristic
617#121C23×C1111yescharacteristic
618#121C23×C1111yescharacteristic
619#120—21no—
620#120—21no—
621#120—21no—
622#120—21no—
623#120—21no—
624C4×Q8D4×C1111yescharacteristic, complemented
625C4×D4—21no—
626C4×D4—21no—
627C4×D4—21no—
628C4×D4—21no—
629C4×D4—21no—
630C4×D4—21no—
631C4×D4—21no—
632C4×D4—21no—
633C4×D4D4×C1111yescharacteristic, complemented
634C4×D4D4×C1111yescharacteristic, complemented
635C4×D4D4×C1111yescharacteristic, complemented
636#117—21no—
637#117—21no—
638C2×C4⋊C4—21no—
639C2×C4⋊C4—21no—
640C2×C4⋊C4—21no—
641C2×C4⋊C4D4×C1111yescharacteristic
642C2×C4⋊C4D4×C1111yescharacteristic
643C2×C4⋊C4C23×C1111yescharacteristic
644C2×C22⋊C4—21no—
645C2×C22⋊C4—21no—
646C2×C22⋊C4—21no—
647C2×C22⋊C4—21no—
648C2×C22⋊C4—21no—
649C2×C22⋊C4—21no—
650C2×C22⋊C4—21no—
651C2×C22⋊C4—21no—
652C2×C22⋊C4D4×C1111yescharacteristic
653C2×C22⋊C4D4×C1111yescharacteristic
654C2×C22⋊C4C23×C1111yescharacteristic
655C2×C42—21no—
656C2×C42C23×C1111yescharacteristic
657C4⋊C8—21no—
658C4⋊C8—21no—
659#103—21no—
660#103—21no—
661#103—21no—
662#103—21no—
663#102—21no—
664#102—21no—
665#102—21no—
666#102—21no—
667C22⋊C8C23×C1111yescharacteristic
668C22⋊C8C23×C1111yescharacteristic
669C22⋊C8C23×C1111yescharacteristic
670C22⋊C8C23×C1111yescharacteristic
671#97—21no—
672C4×C8—21no—
673#95—21no—
674#95—21no—
675#95C23×C1111yescharacteristic
676#95C23×C1111yescharacteristic
677C2×C11—21no—
678C2×C11—21no—
679C2×C11—81no—
680C2×C11—81no—
681C2×C11—81no—
682C2×C11—81no—
683C2×C11—161no—
684C2×C11#301211yescharacteristic
685C2×C11#301811yescharacteristic
686C2×C11#302711yescharacteristic
687C24—21no—
688C24—21no—
689C24C2×D4×C1111yescharacteristic
690#41—81no—
691#41—81no—
692#41—81no—
693#41—81no—
694C2×Q8—21no—
695C2×Q8—21no—
696C2×Q8—21no—
697C2×Q8—21no—
698C2×Q8—81no—
699C2×Q8C2×D4×C1111yescharacteristic
700C2×D4—21no—
701C2×D4—21no—
702C2×D4—21no—
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—21no—
706C2×D4—21no—
707C2×D4—21no—
708C2×D4—21no—
709C2×D4—21no—
710C2×D4—21no—
711C2×D4—21no—
712C2×D4—21no—
713C2×D4—21no—
714C2×D4—42no—
715C2×D4—81no—
716C2×D4—81no—
717C2×D4—81no—
718C2×D4—81no—
719C2×D4—81no—
720C2×D4C2×D4×C1111yescharacteristic
721C2×D4C2×D4×C1111yescharacteristic
722C2×D4C2×D4×C1111yescharacteristic
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—21no—
726C22×C4—21no—
727C22×C4—21no—
728C22×C4—21no—
729C22×C4—21no—
730C22×C4—21no—
731C22×C4—21no—
732C22×C4—21no—
733C22×C4—21no—
734C22×C4C2×D4×C1111yescharacteristic
735C22×C4C2×D4×C1111yescharacteristic
736C22×C4C2×D4×C1111yescharacteristic
737C22×C4C2×D4×C1111yescharacteristic
738C22×C4C2×D4×C1111yescharacteristic
739C22×C4C24×C1111yescharacteristic
740Q16—81no—
741SD16—81no—
742SD16—81no—
743SD16—81no—
744SD16—81no—
745D8—81no—
746D8—81no—
747D8—81no—
748C2×C8—21no—
749C2×C8—21no—
750C2×C8—21no—
751C2×C8—21no—
752C4⋊C4—21no—
753C4⋊C4—21no—
754C4⋊C4—21no—
755C4⋊C4—21no—
756C4⋊C4—21no—
757C4⋊C4—21no—
758C4⋊C4—21no—
759C4⋊C4—21no—
760C4⋊C4—21no—
761C4⋊C4—21no—
762C4⋊C4—21no—
763C4⋊C4—21no—
764C4⋊C4—21no—
765C4⋊C4—21no—
766C4⋊C4—21no—
767C4⋊C4—21no—
768C4⋊C4—21no—
769C4⋊C4—42no—
770C4⋊C4—81no—
771C4⋊C4C2×D4×C1111yescharacteristic
772C4⋊C4C2×D4×C1111yescharacteristic
773C4⋊C4C2×D4×C1111yescharacteristic
774C4⋊C4C2×D4×C1111yescharacteristic
775C22⋊C4—21no—
776C22⋊C4—21no—
777C22⋊C4—21no—
778C22⋊C4—21no—
779C22⋊C4—21no—
780C22⋊C4—21no—
781C22⋊C4—21no—
782C22⋊C4—21no—
783C22⋊C4—21no—
784C22⋊C4—21no—
785C22⋊C4—21no—
786C22⋊C4—21no—
787C22⋊C4—21no—
788C22⋊C4—21no—
789C22⋊C4—21no—
790C22⋊C4—21no—
791C22⋊C4—21no—
792C22⋊C4—21no—
793C22⋊C4—21no—
794C22⋊C4—21no—
795C22⋊C4—21no—
796C22⋊C4—21no—
797C22⋊C4—21no—
798C22⋊C4—21no—
799C22⋊C4—21no—
800C22⋊C4—42no—
801C22⋊C4—41no—
802C22⋊C4—41no—
803C22⋊C4—41no—
804C22⋊C4—41no—
805C22⋊C4—81no—
806C22⋊C4—81no—
807C22⋊C4—81no—
808C42—21no—
809C42—21no—
810C42—21no—
811C42—81no—
812C42C2×D4×C1111yescharacteristic
813C42C2×D4×C1111yescharacteristic
814C42C2×D4×C1111yescharacteristic
815C42C2×D4×C1111yescharacteristic
816C11#1843411yescharacteristic, direct product factor, Sylow
817C23—21no—
818C23—21no—
819C23—21no—
820C23—21no—
821C23—21no—
822C23—21no—
823C23—41no—
824C23—41no—
825C23—41no—
826C23—41no—
827C23—41no—
828C23—41no—
829C23—41no—
830C23—41no—
831C23—41no—
832C23—81no—
833C23—81no—
834C23—81no—
835C23C22×D4×C1111yescharacteristic
836Q8—41no—
837Q8—41no—
838Q8—41no—
839Q8—41no—
840Q8—41no—
841Q8—81no—
842Q8—81no—
843D4—41no—
844D4—41no—
845D4—41no—
846D4—41no—
847D4—41no—
848D4—41no—
849D4—41no—
850D4—41no—
851D4—41no—
852D4—41no—
853D4—41no—
854D4—41no—
855D4—41no—
856D4—81no—
857D4—81no—
858D4—81no—
859D4—81no—
860D4—81no—
861D4—81no—
862D4—81no—
863D4—81no—
864D4—81no—
865D4—84no—
866C2×C4—21no—
867C2×C4—21no—
868C2×C4—22no—
869C2×C4—21no—
870C2×C4—21no—
871C2×C4—21no—
872C2×C4—21no—
873C2×C4—21no—
874C2×C4—21no—
875C2×C4—21no—
876C2×C4—21no—
877C2×C4—21no—
878C2×C4—21no—
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—81no—
892C2×C4—81no—
893C2×C4—81no—
894C2×C4—81no—
895C2×C4—81no—
896C2×C4—81no—
897C2×C4—81no—
898C2×C4—81no—
899C2×C4C11×#12011yescharacteristic
900C2×C4C11×#12011yescharacteristic
901C2×C4C11×#12011yescharacteristic
902C2×C4C11×#12011yescharacteristic
903C2×C4C22×D4×C1111yescharacteristic
904C2×C4C22×D4×C1111yescharacteristic
905C8—41no—
906C8—41no—
907C8—41no—
908C8—41no—
909C22—21no—
910C22—21no—
911C22—41no—
912C22—41no—
913C22—41no—
914C22—41no—
915C22—41no—
916C22—41no—
917C22—41no—
918C22—41no—
919C22—41no—
920C22—41no—
921C22—41no—
922C22—41no—
923C22—81no—
924C22—81no—
925C22—81no—
926C22—81no—
927C22—81no—
928C22—81no—
929C22—81no—
930C22—81no—
931C22—81no—
932C22—162no—
933C22C2×C11×#12011yescharacteristic
934C22C11×#57611yescharacteristic
935C22C11×#57711yescharacteristic
936C4—21no—
937C4—21no—
938C4—21no—
939C4—21no—
940C4—21no—
941C4—21no—
942C4—42no—
943C4—41no—
944C4—41no—
945C4—41no—
946C4—41no—
947C4—41no—
948C4—41no—
949C4—41no—
950C4—41no—
951C4—81no—
952C4—81no—
953C2—21no—
954C2—21no—
955C2—81no—
956C2—81no—
957C2—81no—
958C2—81no—
959C2—161no—
960C2C11×#301211yescharacteristic
961C2C11×#301811yescharacteristic
962C2C11×#302711yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3560C2semidirect
2. C11×#3213C2semidirect
3. C11×#3211C2semidirect
4. C11×#2662C2semidirect
5. C11×#1606C2semidirect
6. C11×#1604C2semidirect
7. C11×#1603C2semidirect
8. C11×#1601C2semidirect
9. C11×#1600C2semidirect
10. C11×#1598C2semidirect
11. C11×#1597C2semidirect
12. C11×#1595C2semidirect
13. C11×#1509C2semidirect
14. C11×#1502C2semidirect
15. C11×#1473C2semidirect
35. C2×C11×#124C22semidirect
44. C11×#451C22semidirect
45. C11×#450C22semidirect
48. C11×#448C22semidirect
51. C11×#447C22semidirect
52. C11×#432C22semidirect
53. C11×#431C22semidirect
55. C11×#395C22semidirect
57. C11×#394C22semidirect
62. C4×C11×C4⋊C4C22semidirect
63. C11×#328C22semidirect
64. C11×#328C22semidirect
69. C11×#327C22semidirect
70. C11×#327C22semidirect
71. C11×#324C22semidirect
72. C11×#324C22semidirect
90. C11×C4⋊Q8D4semidirect
91. C11×#127D4semidirect
103. C11×#125D4semidirect
112. C11×#124D4semidirect
153. C4×Q8×C11D4semidirect
162. C4×D4×C11D4semidirect
163. C4×D4×C11D4semidirect
164. C4×D4×C11D4semidirect
206. #18434C11direct (N × H)
336. #3560C2×C11semidirect
337. #3213C2×C11semidirect
338. #3211C2×C11semidirect
339. #2662C2×C11semidirect
340. #1606C2×C11semidirect
341. #1604C2×C11semidirect
342. #1603C2×C11semidirect
343. #1601C2×C11semidirect
344. #1600C2×C11semidirect
345. #1598C2×C11semidirect
346. #1597C2×C11semidirect
347. #1595C2×C11semidirect
348. #1509C2×C11semidirect
349. #1502C2×C11semidirect
350. #1473C2×C11semidirect
462. C2×#124C22×C11semidirect
471. #451C22×C11semidirect
472. #450C22×C11semidirect
475. #448C22×C11semidirect
478. #447C22×C11semidirect
479. #432C22×C11semidirect
480. #431C22×C11semidirect
482. #395C22×C11semidirect
484. #394C22×C11semidirect
489. C4×C4⋊C4C22×C11semidirect
490. #328C22×C11semidirect
491. #328C22×C11semidirect
496. #327C22×C11semidirect
497. #327C22×C11semidirect
498. #324C22×C11semidirect
499. #324C22×C11semidirect
561. C4⋊Q8D4×C11semidirect
562. #127D4×C11semidirect
574. #125D4×C11semidirect
583. #124D4×C11semidirect
624. C4×Q8D4×C11semidirect
633. C4×D4D4×C11semidirect
634. C4×D4D4×C11semidirect
635. C4×D4D4×C11semidirect
816. C11#18434direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35602
C11×#32132
C11×#32112
C11×#26622
C11×#16062
C11×#16042
C11×#16032
C11×#16012
C11×#16002
C11×#15982
C11×#15972
C11×#15952
C11×#15092
C11×#15022
C11×#14732
#1843411