Finite Group Databasebeta

← C11×#18280 #14595473

Subgroups — C11×#18280 #14595473

Order 2816.

1002 conjugacy classes of subgroups.

The subgroup lattice has 952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3560C211yesmaximal, characteristic, complemented
2C11×#3114C211yesmaximal, characteristic, complemented
3C11×#3100C211yesmaximal, characteristic, complemented
4C11×#2603C211yesmaximal, 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×#1505C211yesmaximal, characteristic, complemented
14C11×#1500C211yesmaximal, 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×C4×D4×C11C2211yescharacteristic, complemented
36C11×#483C2211yescharacteristic, complemented
37C11×#480C2211yescharacteristic
38C11×#480C2211yescharacteristic
39C11×#480C2211yescharacteristic, complemented
40C11×#478—21no—
41C11×#474—21no—
42C11×#463—21no—
43C11×#459—21no—
44C11×#450C2211yescharacteristic, complemented
45C11×#447C2211yescharacteristic
46C11×#447C2211yescharacteristic
47C11×#447C2211yescharacteristic, complemented
48C11×#442—21no—
49C11×#440—21no—
50C4×C11×D8—21no—
51C4×C11×D8—21no—
52C11×#432C2211yescharacteristic, complemented
53C11×#431C2211yescharacteristic, complemented
54C11×#398C2211yescharacteristic, complemented
55C11×#397C2211yescharacteristic
56C11×#394C2211yescharacteristic, complemented
57C11×#392C2211yescharacteristic
58C11×#390—21no—
59C11×#388—21no—
60C11×#386—21no—
61C11×#385—21no—
62C11×#376C2211yescharacteristic, 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×D4×C11—21no—
78C22×D4×C11—21no—
79C22×D4×C11C2311yescharacteristic
80C23×C4×C11—21no—
81C2×C11×SD16—21no—
82C2×C11×D8—21no—
83C2×C11×D8—21no—
84C2×C11×D8—21no—
85C11×C4⋊Q8—21no—
86C11×C4⋊Q8D411yescharacteristic, complemented
87C11×#127D411yescharacteristic, complemented
88C11×#126—21no—
89C11×#126—21no—
90C11×#126—21no—
91C11×#126—21no—
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#126—21no—
97C11×#125—21no—
98C11×#125—21no—
99C11×#125D411yescharacteristic, complemented
100C11×#124—21no—
101C11×#124—21no—
102C11×#124—21no—
103C11×#124—21no—
104C11×#124D411yescharacteristic, complemented
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×#123—21no—
117C11×C22⋊Q8—21no—
118C11×C22⋊Q8—21no—
119C11×C22⋊Q8—21no—
120C11×C22⋊Q8—21no—
121C11×C22⋊Q8—21no—
122C11×C22⋊Q8—21no—
123C11×C22⋊Q8—21no—
124C11×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
138C11×#121C2311yescharacteristic
139C11×#121C2311yescharacteristic
140C11×#120—21no—
141C11×#120—21no—
142C11×#120—21no—
143C11×#120—21no—
144C11×#120—21no—
145C4×Q8×C11D411yescharacteristic, complemented
146C4×D4×C11—21no—
147C4×D4×C11—21no—
148C4×D4×C11—21no—
149C4×D4×C11—21no—
150C4×D4×C11—21no—
151C4×D4×C11—21no—
152C4×D4×C11—21no—
153C4×D4×C11—21no—
154C4×D4×C11—21no—
155C4×D4×C11—21no—
156C4×D4×C11—21no—
157C4×D4×C11—21no—
158C4×D4×C11D411yescharacteristic, complemented
159C4×D4×C11D411yescharacteristic, complemented
160C4×D4×C11D411yescharacteristic, complemented
161C11×#117—21no—
162C11×#117—21no—
163C2×C11×C4⋊C4—21no—
164C2×C11×C4⋊C4—21no—
165C2×C11×C4⋊C4D411yescharacteristic
166C2×C11×C4⋊C4D411yescharacteristic
167C2×C11×C4⋊C4C2311yescharacteristic
168C2×C11×C4⋊C4C2311yescharacteristic
169C2×C11×C22⋊C4—21no—
170C2×C11×C22⋊C4—21no—
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⋊C4D411yescharacteristic
177C2×C11×C22⋊C4D411yescharacteristic
178C2×C11×C22⋊C4C2311yescharacteristic
179C2×C42×C11—21no—
180C2×C42×C11C2311yescharacteristic
181C11×#107—21no—
182C11×#107—21no—
183C11×#107—21no—
184C11×#106—21no—
185C11×C4⋊C8—21no—
186C11×C4⋊C8—21no—
187C11×#103—21no—
188C11×#102—21no—
189C11×#102—21no—
190C11×#102—21no—
191C11×#102—21no—
192C11×#102—21no—
193C11×#102—21no—
194C11×#102—21no—
195C11×C22⋊C8C2311yescharacteristic
196C11×C22⋊C8C2311yescharacteristic
197C11×C22⋊C8C2311yescharacteristic
198C11×C22⋊C8C2311yescharacteristic
199C11×#97—21no—
200C4×C8×C11—21no—
201C11×#95—21no—
202C11×#95—21no—
203C11×#95—21no—
204C11×#95C2311yescharacteristic
205C11×#95C2311yescharacteristic
206#18280C1111yesmaximal, 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×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—42no—
232C2×D4×C11—42no—
233C2×D4×C11—42no—
234C2×D4×C11—81no—
235C2×D4×C11—81no—
236C2×D4×C11—81no—
237C2×D4×C11C2×D411yescharacteristic
238C2×D4×C11C2×D411yescharacteristic
239C2×D4×C11C2×D411yescharacteristic
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—41no—
252C22×C4×C11—41no—
253C22×C4×C11—81no—
254C22×C4×C11—81no—
255C22×C4×C11C2×D411yescharacteristic
256C22×C4×C11C2×D411yescharacteristic
257C22×C4×C11C2×D411yescharacteristic
258C22×C4×C11C2×D411yescharacteristic
259C22×C4×C11C2×D411yescharacteristic
260C22×C4×C11C2411yescharacteristic
261C11×SD16—42no—
262C11×D8—42no—
263C11×D8—42no—
264C11×D8—42no—
265C2×C8×C11—21no—
266C2×C8×C11—21no—
267C2×C8×C11—21no—
268C2×C8×C11—21no—
269C11×C4⋊C4—21no—
270C11×C4⋊C4—21no—
271C11×C4⋊C4—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—81no—
289C11×C4⋊C4C2×D411yescharacteristic
290C11×C4⋊C4C2×D411yescharacteristic
291C11×C4⋊C4C2×D411yescharacteristic
292C11×C4⋊C4C2×D411yescharacteristic
293C11×C22⋊C4—21no—
294C11×C22⋊C4—21no—
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—42no—
319C11×C22⋊C4—42no—
320C11×C22⋊C4—41no—
321C11×C22⋊C4—41no—
322C11×C22⋊C4—81no—
323C11×C22⋊C4—81no—
324C42×C11—21no—
325C42×C11—21no—
326C42×C11—21no—
327C42×C11—42no—
328C42×C11C2×D411yescharacteristic
329C42×C11C2×D411yescharacteristic
330C42×C11C2×D411yescharacteristic
331C42×C11C2×D411yescharacteristic
332#3560C2×C1111yescharacteristic, complemented
333#3114C2×C1111yescharacteristic, complemented
334#3100C2×C1111yescharacteristic, complemented
335#2603C2×C1111yescharacteristic, complemented
336#1612C2×C1111yescharacteristic, complemented
337#1610C2×C1111yescharacteristic, complemented
338#1609C2×C1111yescharacteristic, complemented
339#1607C2×C1111yescharacteristic, complemented
340#1600C2×C1111yescharacteristic, complemented
341#1598C2×C1111yescharacteristic, complemented
342#1597C2×C1111yescharacteristic, complemented
343#1595C2×C1111yescharacteristic, complemented
344#1505C2×C1111yescharacteristic, complemented
345#1500C2×C1111yescharacteristic, complemented
346#1473C2×C1111yescharacteristic, complemented
347C23×C11—22no—
348C23×C11—21no—
349C23×C11—21no—
350C23×C11—21no—
351C23×C11—21no—
352C23×C11—21no—
353C23×C11—21no—
354C23×C11—41no—
355C23×C11—41no—
356C23×C11—41no—
357C23×C11—41no—
358C23×C11—41no—
359C23×C11—41no—
360C23×C11—41no—
361C23×C11—41no—
362C23×C11—81no—
363C23×C11—81no—
364C23×C11—81no—
365C23×C11C22×D411yescharacteristic
366Q8×C11—41no—
367Q8×C11—81no—
368Q8×C11—81no—
369D4×C11—22no—
370D4×C11—22no—
371D4×C11—41no—
372D4×C11—41no—
373D4×C11—41no—
374D4×C11—41no—
375D4×C11—41no—
376D4×C11—41no—
377D4×C11—41no—
378D4×C11—41no—
379D4×C11—41no—
380D4×C11—41no—
381D4×C11—41no—
382D4×C11—81no—
383D4×C11—81no—
384D4×C11—81no—
385D4×C11—81no—
386D4×C11—81no—
387D4×C11—81no—
388D4×C11—81no—
389D4×C11—81no—
390D4×C11—81no—
391D4×C11—84no—
392C2×C4×C11—21no—
393C2×C4×C11—21no—
394C2×C4×C11—22no—
395C2×C4×C11—21no—
396C2×C4×C11—21no—
397C2×C4×C11—21no—
398C2×C4×C11—21no—
399C2×C4×C11—21no—
400C2×C4×C11—21no—
401C2×C4×C11—21no—
402C2×C4×C11—21no—
403C2×C4×C11—21no—
404C2×C4×C11—21no—
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—81no—
418C2×C4×C11—81no—
419C2×C4×C11—81no—
420C2×C4×C11—82no—
421C2×C4×C11—82no—
422C2×C4×C11—81no—
423C2×C4×C11—81no—
424C2×C4×C11—81no—
425C2×C4×C11—81no—
426C2×C4×C11—81no—
427C2×C4×C11#12011yescharacteristic
428C2×C4×C11#12011yescharacteristic
429C2×C4×C11#12011yescharacteristic
430C2×C4×C11#12011yescharacteristic
431C2×C4×C11C22×D411yescharacteristic
432C2×C4×C11C22×D411yescharacteristic
433C8×C11—41no—
434C8×C11—41no—
435C8×C11—41no—
436C8×C11—41no—
437#563—21no—
438#560—21no—
439#553—21no—
440#553—21no—
441#551—21no—
442#547—21no—
443#546—21no—
444#546—21no—
445#542—21no—
446#539—21no—
447#539C22×C1111yescharacteristic
448#538—21no—
449#538—21no—
450#538C22×C1111yescharacteristic
451#537C22×C1111yescharacteristic
452#534C22×C1111yescharacteristic
453#532C22×C1111yescharacteristic
454#529C22×C1111yescharacteristic
455C2×#126C22×C1111yescharacteristic
456C2×C4×D4C22×C1111yescharacteristic, complemented
457#483C22×C1111yescharacteristic, complemented
458#480C22×C1111yescharacteristic
459#480C22×C1111yescharacteristic
460#480C22×C1111yescharacteristic, complemented
461#478—21no—
462#474—21no—
463#463—21no—
464#459—21no—
465#450C22×C1111yescharacteristic, complemented
466#447C22×C1111yescharacteristic
467#447C22×C1111yescharacteristic
468#447C22×C1111yescharacteristic, complemented
469#442—21no—
470#440—21no—
471C4×D8—21no—
472C4×D8—21no—
473#432C22×C1111yescharacteristic, complemented
474#431C22×C1111yescharacteristic, complemented
475#398C22×C1111yescharacteristic, complemented
476#397C22×C1111yescharacteristic
477#394C22×C1111yescharacteristic, complemented
478#392C22×C1111yescharacteristic
479#390—21no—
480#388—21no—
481#386—21no—
482#385—21no—
483#376C22×C1111yescharacteristic, complemented
484#328C22×C1111yescharacteristic, complemented
485#328C22×C1111yescharacteristic, complemented
486#327C22×C1111yescharacteristic
487#327C22×C1111yescharacteristic
488#327C22×C1111yescharacteristic
489#327C22×C1111yescharacteristic
490#327C22×C1111yescharacteristic, complemented
491#327C22×C1111yescharacteristic, complemented
492#324C22×C1111yescharacteristic, complemented
493#324C22×C1111yescharacteristic, complemented
494#323C22×C1111yescharacteristic
495#323C22×C1111yescharacteristic
496C22×C11—21no—
497C22×C11—21no—
498C22×C11—42no—
499C22×C11—42no—
500C22×C11—41no—
501C22×C11—41no—
502C22×C11—41no—
503C22×C11—41no—
504C22×C11—41no—
505C22×C11—41no—
506C22×C11—41no—
507C22×C11—41no—
508C22×C11—41no—
509C22×C11—42no—
510C22×C11—41no—
511C22×C11—41no—
512C22×C11—41no—
513C22×C11—81no—
514C22×C11—81no—
515C22×C11—81no—
516C22×C11—81no—
517C22×C11—81no—
518C22×C11—81no—
519C22×C11—162no—
520C22×C11C2×#12011yescharacteristic
521C22×C11#57611yescharacteristic
522C22×C11#57611yescharacteristic
523C4×C11—21no—
524C4×C11—21no—
525C4×C11—21no—
526C4×C11—21no—
527C4×C11—21no—
528C4×C11—21no—
529C4×C11—42no—
530C4×C11—41no—
531C4×C11—41no—
532C4×C11—41no—
533C4×C11—41no—
534C4×C11—41no—
535C4×C11—41no—
536C4×C11—41no—
537C4×C11—41no—
538C4×C11—81no—
539C4×C11—81no—
540C2×#41—21no—
541C2×#41—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4C23×C1111yescharacteristic
545C23×C4—21no—
546C2×SD16—21no—
547C2×D8—21no—
548C2×D8—21no—
549C2×D8—21no—
550C4⋊Q8—21no—
551C4⋊Q8D4×C1111yescharacteristic, complemented
552#127D4×C1111yescharacteristic, complemented
553#126—21no—
554#126—21no—
555#126—21no—
556#126—21no—
557#126—21no—
558#126—21no—
559#126—21no—
560#126—21no—
561#126—21no—
562#125—21no—
563#125—21no—
564#125D4×C1111yescharacteristic, complemented
565#124—21no—
566#124—21no—
567#124—21no—
568#124—21no—
569#124D4×C1111yescharacteristic, complemented
570#123—21no—
571#123—21no—
572#123—21no—
573#123—21no—
574#123—21no—
575#123—21no—
576#123—21no—
577#123—21no—
578#123—21no—
579#123—21no—
580#123—21no—
581#123—21no—
582C22⋊Q8—21no—
583C22⋊Q8—21no—
584C22⋊Q8—21no—
585C22⋊Q8—21no—
586C22⋊Q8—21no—
587C22⋊Q8—21no—
588C22⋊Q8—21no—
589C22⋊Q8C23×C1111yescharacteristic
590#121—21no—
591#121—21no—
592#121—21no—
593#121—21no—
594#121—21no—
595#121—21no—
596#121—21no—
597#121—21no—
598#121—21no—
599#121—21no—
600#121—21no—
601#121—21no—
602#121C23×C1111yescharacteristic
603#121C23×C1111yescharacteristic
604#121C23×C1111yescharacteristic
605#120—21no—
606#120—21no—
607#120—21no—
608#120—21no—
609#120—21no—
610C4×Q8D4×C1111yescharacteristic, complemented
611C4×D4—21no—
612C4×D4—21no—
613C4×D4—21no—
614C4×D4—21no—
615C4×D4—21no—
616C4×D4—21no—
617C4×D4—21no—
618C4×D4—21no—
619C4×D4—21no—
620C4×D4—21no—
621C4×D4—21no—
622C4×D4—21no—
623C4×D4D4×C1111yescharacteristic, complemented
624C4×D4D4×C1111yescharacteristic, complemented
625C4×D4D4×C1111yescharacteristic, complemented
626#117—21no—
627#117—21no—
628C2×C4⋊C4—21no—
629C2×C4⋊C4—21no—
630C2×C4⋊C4D4×C1111yescharacteristic
631C2×C4⋊C4D4×C1111yescharacteristic
632C2×C4⋊C4C23×C1111yescharacteristic
633C2×C4⋊C4C23×C1111yescharacteristic
634C2×C22⋊C4—21no—
635C2×C22⋊C4—21no—
636C2×C22⋊C4—21no—
637C2×C22⋊C4—21no—
638C2×C22⋊C4—21no—
639C2×C22⋊C4—21no—
640C2×C22⋊C4—21no—
641C2×C22⋊C4D4×C1111yescharacteristic
642C2×C22⋊C4D4×C1111yescharacteristic
643C2×C22⋊C4C23×C1111yescharacteristic
644C2×C42—21no—
645C2×C42C23×C1111yescharacteristic
646#107—21no—
647#107—21no—
648#107—21no—
649#106—21no—
650C4⋊C8—21no—
651C4⋊C8—21no—
652#103—21no—
653#102—21no—
654#102—21no—
655#102—21no—
656#102—21no—
657#102—21no—
658#102—21no—
659#102—21no—
660C22⋊C8C23×C1111yescharacteristic
661C22⋊C8C23×C1111yescharacteristic
662C22⋊C8C23×C1111yescharacteristic
663C22⋊C8C23×C1111yescharacteristic
664#97—21no—
665C4×C8—21no—
666#95—21no—
667#95—21no—
668#95—21no—
669#95C23×C1111yescharacteristic
670#95C23×C1111yescharacteristic
671C2×C11—21no—
672C2×C11—21no—
673C2×C11—81no—
674C2×C11—82no—
675C2×C11—81no—
676C2×C11—81no—
677C2×C11—81no—
678C2×C11#300811yescharacteristic
679C2×C11#301811yescharacteristic
680C2×C11#302511yescharacteristic
681C24—21no—
682C24—21no—
683C24C2×D4×C1111yescharacteristic
684#41—81no—
685#41—81no—
686#41—81no—
687#41—81no—
688C2×Q8—21no—
689C2×Q8—21no—
690C2×Q8C2×D4×C1111yescharacteristic
691C2×D4—21no—
692C2×D4—21no—
693C2×D4—21no—
694C2×D4—21no—
695C2×D4—21no—
696C2×D4—21no—
697C2×D4—21no—
698C2×D4—21no—
699C2×D4—21no—
700C2×D4—21no—
701C2×D4—21no—
702C2×D4—21no—
703C2×D4—21no—
704C2×D4—21no—
705C2×D4—42no—
706C2×D4—42no—
707C2×D4—42no—
708C2×D4—81no—
709C2×D4—81no—
710C2×D4—81no—
711C2×D4C2×D4×C1111yescharacteristic
712C2×D4C2×D4×C1111yescharacteristic
713C2×D4C2×D4×C1111yescharacteristic
714C22×C4—21no—
715C22×C4—21no—
716C22×C4—21no—
717C22×C4—21no—
718C22×C4—21no—
719C22×C4—21no—
720C22×C4—21no—
721C22×C4—21no—
722C22×C4—21no—
723C22×C4—21no—
724C22×C4—21no—
725C22×C4—41no—
726C22×C4—41no—
727C22×C4—81no—
728C22×C4—81no—
729C22×C4C2×D4×C1111yescharacteristic
730C22×C4C2×D4×C1111yescharacteristic
731C22×C4C2×D4×C1111yescharacteristic
732C22×C4C2×D4×C1111yescharacteristic
733C22×C4C2×D4×C1111yescharacteristic
734C22×C4C24×C1111yescharacteristic
735SD16—42no—
736D8—42no—
737D8—42no—
738D8—42no—
739C2×C8—21no—
740C2×C8—21no—
741C2×C8—21no—
742C2×C8—21no—
743C4⋊C4—21no—
744C4⋊C4—21no—
745C4⋊C4—21no—
746C4⋊C4—21no—
747C4⋊C4—21no—
748C4⋊C4—21no—
749C4⋊C4—21no—
750C4⋊C4—21no—
751C4⋊C4—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—81no—
763C4⋊C4C2×D4×C1111yescharacteristic
764C4⋊C4C2×D4×C1111yescharacteristic
765C4⋊C4C2×D4×C1111yescharacteristic
766C4⋊C4C2×D4×C1111yescharacteristic
767C22⋊C4—21no—
768C22⋊C4—21no—
769C22⋊C4—21no—
770C22⋊C4—21no—
771C22⋊C4—21no—
772C22⋊C4—21no—
773C22⋊C4—21no—
774C22⋊C4—21no—
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—42no—
793C22⋊C4—42no—
794C22⋊C4—41no—
795C22⋊C4—41no—
796C22⋊C4—81no—
797C22⋊C4—81no—
798C42—21no—
799C42—21no—
800C42—21no—
801C42—42no—
802C42C2×D4×C1111yescharacteristic
803C42C2×D4×C1111yescharacteristic
804C42C2×D4×C1111yescharacteristic
805C42C2×D4×C1111yescharacteristic
806C11#1828011yescharacteristic, direct product factor, Sylow
807C23—22no—
808C23—21no—
809C23—21no—
810C23—21no—
811C23—21no—
812C23—21no—
813C23—21no—
814C23—41no—
815C23—41no—
816C23—41no—
817C23—41no—
818C23—41no—
819C23—41no—
820C23—41no—
821C23—41no—
822C23—81no—
823C23—81no—
824C23—81no—
825C23C22×D4×C1111yescharacteristic
826Q8—41no—
827Q8—81no—
828Q8—81no—
829D4—22no—
830D4—22no—
831D4—41no—
832D4—41no—
833D4—41no—
834D4—41no—
835D4—41no—
836D4—41no—
837D4—41no—
838D4—41no—
839D4—41no—
840D4—41no—
841D4—41no—
842D4—81no—
843D4—81no—
844D4—81no—
845D4—81no—
846D4—81no—
847D4—81no—
848D4—81no—
849D4—81no—
850D4—81no—
851D4—84no—
852C2×C4—21no—
853C2×C4—21no—
854C2×C4—22no—
855C2×C4—21no—
856C2×C4—21no—
857C2×C4—21no—
858C2×C4—21no—
859C2×C4—21no—
860C2×C4—21no—
861C2×C4—21no—
862C2×C4—21no—
863C2×C4—21no—
864C2×C4—21no—
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—81no—
878C2×C4—81no—
879C2×C4—81no—
880C2×C4—82no—
881C2×C4—82no—
882C2×C4—81no—
883C2×C4—81no—
884C2×C4—81no—
885C2×C4—81no—
886C2×C4—81no—
887C2×C4C11×#12011yescharacteristic
888C2×C4C11×#12011yescharacteristic
889C2×C4C11×#12011yescharacteristic
890C2×C4C11×#12011yescharacteristic
891C2×C4C22×D4×C1111yescharacteristic
892C2×C4C22×D4×C1111yescharacteristic
893C8—41no—
894C8—41no—
895C8—41no—
896C8—41no—
897C22—21no—
898C22—21no—
899C22—42no—
900C22—42no—
901C22—41no—
902C22—41no—
903C22—41no—
904C22—41no—
905C22—41no—
906C22—41no—
907C22—41no—
908C22—41no—
909C22—41no—
910C22—42no—
911C22—41no—
912C22—41no—
913C22—41no—
914C22—81no—
915C22—81no—
916C22—81no—
917C22—81no—
918C22—81no—
919C22—81no—
920C22—162no—
921C22C2×C11×#12011yescharacteristic
922C22C11×#57611yescharacteristic
923C22C11×#57611yescharacteristic
924C4—21no—
925C4—21no—
926C4—21no—
927C4—21no—
928C4—21no—
929C4—21no—
930C4—42no—
931C4—41no—
932C4—41no—
933C4—41no—
934C4—41no—
935C4—41no—
936C4—41no—
937C4—41no—
938C4—41no—
939C4—81no—
940C4—81no—
941C2—21no—
942C2—21no—
943C2—82no—
944C2—81no—
945C2—81no—
946C2—81no—
947C2—81no—
948C2C11×#300811yescharacteristic
949C2C11×#301811yescharacteristic
950C2C11×#302511yescharacteristic
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×#3114C2semidirect
3. C11×#3100C2semidirect
4. C11×#2603C2semidirect
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×#1505C2semidirect
14. C11×#1500C2semidirect
15. C11×#1473C2semidirect
35. C2×C4×D4×C11C22semidirect
36. C11×#483C22semidirect
39. C11×#480C22semidirect
44. C11×#450C22semidirect
47. C11×#447C22semidirect
52. C11×#432C22semidirect
53. C11×#431C22semidirect
54. C11×#398C22semidirect
56. C11×#394C22semidirect
62. C11×#376C22semidirect
63. C11×#328C22semidirect
64. C11×#328C22semidirect
69. C11×#327C22semidirect
70. C11×#327C22semidirect
71. C11×#324C22semidirect
72. C11×#324C22semidirect
86. C11×C4⋊Q8D4semidirect
87. C11×#127D4semidirect
99. C11×#125D4semidirect
104. C11×#124D4semidirect
145. C4×Q8×C11D4semidirect
158. C4×D4×C11D4semidirect
159. C4×D4×C11D4semidirect
160. C4×D4×C11D4semidirect
206. #18280C11direct (N × H)
332. #3560C2×C11semidirect
333. #3114C2×C11semidirect
334. #3100C2×C11semidirect
335. #2603C2×C11semidirect
336. #1612C2×C11semidirect
337. #1610C2×C11semidirect
338. #1609C2×C11semidirect
339. #1607C2×C11semidirect
340. #1600C2×C11semidirect
341. #1598C2×C11semidirect
342. #1597C2×C11semidirect
343. #1595C2×C11semidirect
344. #1505C2×C11semidirect
345. #1500C2×C11semidirect
346. #1473C2×C11semidirect
456. C2×C4×D4C22×C11semidirect
457. #483C22×C11semidirect
460. #480C22×C11semidirect
465. #450C22×C11semidirect
468. #447C22×C11semidirect
473. #432C22×C11semidirect
474. #431C22×C11semidirect
475. #398C22×C11semidirect
477. #394C22×C11semidirect
483. #376C22×C11semidirect
484. #328C22×C11semidirect
485. #328C22×C11semidirect
490. #327C22×C11semidirect
491. #327C22×C11semidirect
492. #324C22×C11semidirect
493. #324C22×C11semidirect
551. C4⋊Q8D4×C11semidirect
552. #127D4×C11semidirect
564. #125D4×C11semidirect
569. #124D4×C11semidirect
610. C4×Q8D4×C11semidirect
623. C4×D4D4×C11semidirect
624. C4×D4D4×C11semidirect
625. C4×D4D4×C11semidirect
806. C11#18280direct (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×#31142
C11×#31002
C11×#26032
C11×#16122
C11×#16102
C11×#16092
C11×#16072
C11×#16002
C11×#15982
C11×#15972
C11×#15952
C11×#15052
C11×#15002
C11×#14732
#1828011