Finite Group Databasebeta

← C11×#61350 #14638543

Subgroups — C11×#61350 #14638543

Order 2816.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3507C211yesmaximal, characteristic, complemented
2C11×#3504C211yesmaximal, characteristic, complemented
3C11×#3377C212yesmaximal, complemented
4C11×#3376C212yesmaximal, complemented
5C11×#3374C212yesmaximal, complemented
6C11×#3372C212yesmaximal, complemented
7C11×#3371C212yesmaximal, complemented
8C11×#3370C212yesmaximal, complemented
9C11×#3364C212yesmaximal, complemented
10C11×#3360C212yesmaximal, complemented
11C11×#3142C211yesmaximal, characteristic, complemented
12C11×#3137C211yesmaximal, characteristic, complemented
13C11×#3137C211yesmaximal, characteristic, complemented
14C11×#3084C211yesmaximal, characteristic, complemented
15C11×#3083C211yesmaximal, characteristic, complemented
16C2×C11×#479C211yesmaximal, characteristic, complemented
17C11×#3046C211yesmaximal, characteristic, complemented
18C11×#3046C211yesmaximal, characteristic, complemented
19C11×#3035C211yesmaximal, characteristic
20C11×#2962C211yesmaximal, characteristic, complemented
21C11×#2952C211yesmaximal, characteristic, complemented
22C11×#2951C211yesmaximal, characteristic, complemented
23C4×C11×#137C211yesmaximal, characteristic, complemented
24C2×C11×#137C2211yescharacteristic
25C2×C11×#135C2211yescharacteristic
26C2×C11×#135C2211yescharacteristic
27C11×#559C2212yes—
28C11×#557C2212yes—
29C11×#557C2212yes—
30C11×#557C2212yes—
31C11×#556—21no—
32C11×#556C2212yes—
33C11×#556C2212yes—
34C11×#554—21no—
35C11×#554—22no—
36C11×#554—22no—
37C11×#554C2212yes—
38C11×#554C2212yes—
39C11×#552—21no—
40C11×#552—21no—
41C11×#544—21no—
42C11×#544—21no—
43C11×#544C2211yescharacteristic
44C11×#544C2211yescharacteristic
45C11×#539—22no—
46C11×#536C2211yescharacteristic
47C11×#536C2211yescharacteristic
48C11×#533—21no—
49C11×#533C2211yescharacteristic
50C11×#532C2211yescharacteristic
51C11×#529—22no—
52C2×C11×#125—21no—
53C2×C11×#125C2211yescharacteristic
54C11×#520C2211yescharacteristic
55C11×#520C2211yescharacteristic
56C11×#520C2211yescharacteristic
57C11×#520C2211yescharacteristic
58C4×C11×#41C2211yescharacteristic
59C2×C4×Q8×C11C2211yescharacteristic
60C11×#491C2212yes—
61C11×#491C2212yes—
62C11×#491C2212yes—
63C11×#490C2212yes—
64C11×#489C2212yes—
65C11×#489C2212yes—
66C11×#488C2212yes—
67C11×#488C2212yes—
68C11×#488C2212yes—
69C11×#488C2212yes—
70C11×#487C2212yes—
71C11×#487C2212yes—
72C11×#479C2212yes—
73C11×#479C2212yes—
74C11×#479C2212yes—
75C11×#479C2212yes—
76C11×#479C2212yes—
77C11×#479C2212yes—
78C11×#478C2212yes—
79C11×#478C2212yes—
80C11×#477C2212yes—
81C11×#476C2212yes—
82C11×#475C2212yes—
83C11×#474C2212yes—
84C11×#464C2211yescharacteristic
85C11×#464C2211yescharacteristic
86C11×#464C2212yes—
87C11×#464C2212yes—
88C11×#463C2211yescharacteristic
89C11×#463C2211yescharacteristic
90C11×#463C2212yes—
91C11×#463C2212yes—
92C11×#462C2211yescharacteristic
93C11×#462C2212yes—
94C11×#462C2212yes—
95C11×#461C2211yescharacteristic
96C11×#461C2212yes—
97C11×#461C2212yes—
98C11×#460C2211yescharacteristic
99C11×#459C2211yescharacteristic
100C11×#446C2212yes—
101C11×#446C2212yes—
102C11×#446C2212yes—
103C8×Q8×C11C2212yes—
104C11×#442C2212yes—
105C11×#441C2212yes—
106C11×#441C2212yes—
107C11×#440C2212yes—
108C11×#440C2212yes—
109C11×#440C2212yes—
110C4×C11×Q16C2212yes—
111C4×C11×Q16C2212yes—
112C4×C11×SD16C2212yes—
113C4×C11×SD16C2212yes—
114C4×C11×SD16C2212yes—
115C4×C11×D8C2212yes—
116C11×#428C2211yescharacteristic
117C2×C11×#107C2211yescharacteristic
118C2×C11×#106C2211yescharacteristic
119C11×#424C2211yescharacteristic
120C11×#424C2211yescharacteristic
121C2×C11×C4⋊C8C2211yescharacteristic
122C11×#419C2211yescharacteristic
123C11×#417C2211yescharacteristic
124C11×#417C2211yescharacteristic
125C11×#417C2211yescharacteristic
126C11×#417C2211yescharacteristic
127C11×#417C2211yescharacteristic
128C11×#416C2211yescharacteristic
129C11×#416C2211yescharacteristic
130C2×C11×#103C2211yescharacteristic
131C2×C11×#103C2211yescharacteristic
132C11×#405C2211yescharacteristic
133C11×#405C2211yescharacteristic
134C4×C11×M16C2211yescharacteristic
135C2×C11×#41C2311yescharacteristic
136C2×C11×#41C2311yescharacteristic
137C2×C11×#41C2311yescharacteristic
138C22×Q8×C11C2311yescharacteristic
139C11×#137—24no—
140C11×#135—24no—
141C11×#135—24no—
142C2×C11×Q16C2311yescharacteristic
143C2×C11×Q16C2311yescharacteristic
144C2×C11×Q16C2312yes—
145C2×C11×SD16C2311yescharacteristic
146C2×C11×SD16C2311yescharacteristic
147C2×C11×SD16C2311yescharacteristic
148C2×C11×SD16C2311yescharacteristic
149C2×C11×SD16C2312yes—
150C2×C11×D8C2311yescharacteristic
151C2×C11×D8C2311yescharacteristic
152C2×C11×M16C2311yescharacteristic
153C2×C11×M16C2311yescharacteristic
154C22×C8×C11C2311yescharacteristic
155C22×C8×C11C2311yescharacteristic
156C11×C4⋊Q8—22no—
157C11×C4⋊Q8—22no—
158C11×C4⋊Q8—21no—
159C11×C4⋊Q8—21no—
160C11×C4⋊Q8D411yescharacteristic
161C11×C4⋊Q8D411yescharacteristic
162C11×C4⋊Q8C2311yescharacteristic
163C11×C4⋊Q8C2312yes—
164C11×C4⋊Q8C2312yes—
165C11×C4⋊Q8C2312yes—
166C11×C4⋊Q8C2312yes—
167C11×#127C2311yescharacteristic
168C11×#126—22no—
169C11×#126—22no—
170C11×#126—22no—
171C11×#126—22no—
172C11×#125—21no—
173C11×#125—21no—
174C11×#125—22no—
175C11×#125—22no—
176C11×#125—22no—
177C11×#125—22no—
178C11×#125—22no—
179C11×#125—22no—
180C11×#125—22no—
181C11×#125—21no—
182C11×#125—21no—
183C11×#125D411yescharacteristic
184C11×#125D411yescharacteristic
185C11×#125C2312yes—
186C11×#125C2312yes—
187C11×#125C2312yes—
188C11×#125C2312yes—
189C11×#124—22no—
190C11×#124C2312yes—
191C11×#124C2312yes—
192C11×#124C2311yescharacteristic
193C11×#124C2311yescharacteristic
194C11×#123—22no—
195C11×#123—22no—
196C11×#123—22no—
197C11×#123—22no—
198C11×C22⋊Q8—22no—
199C11×C22⋊Q8—22no—
200C11×C22⋊Q8—22no—
201C11×C22⋊Q8—22no—
202C11×C22⋊Q8—22no—
203C11×C22⋊Q8—22no—
204C11×C22⋊Q8—21no—
205C11×C22⋊Q8—21no—
206C11×C22⋊Q8—21no—
207C11×C22⋊Q8—21no—
208C11×C22⋊Q8—22no—
209C11×C22⋊Q8—22no—
210C11×C22⋊Q8—22no—
211C11×C22⋊Q8—22no—
212C11×C22⋊Q8D412yes—
213C11×C22⋊Q8D412yes—
214C11×#121—21no—
215C11×#121—21no—
216C4×Q8×C11—22no—
217C4×Q8×C11—22no—
218C4×Q8×C11—22no—
219C4×Q8×C11—21no—
220C4×Q8×C11—21no—
221C4×Q8×C11C2312yes—
222C4×Q8×C11C2312yes—
223C4×Q8×C11C2311yescharacteristic
224C4×Q8×C11C2311yescharacteristic
225C4×Q8×C11C2312yes—
226C4×Q8×C11C2312yes—
227C4×Q8×C11C2312yes—
228C4×Q8×C11C2312yes—
229C4×Q8×C11C2312yes—
230C4×Q8×C11C2312yes—
231C4×D4×C11—21no—
232C4×D4×C11—21no—
233C4×D4×C11—22no—
234C4×D4×C11—22no—
235C4×D4×C11—22no—
236C4×D4×C11—22no—
237C4×D4×C11—22no—
238C4×D4×C11—21no—
239C4×D4×C11—21no—
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2312yes—
243C4×D4×C11C2312yes—
244C4×D4×C11C2312yes—
245C4×D4×C11C2312yes—
246C11×#117—21no—
247C11×#117—21no—
248C11×#117—21no—
249C11×#117—21no—
250C11×#117—22no—
251C11×#117—22no—
252C11×#117—21no—
253C11×#117C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C11×#117C2311yescharacteristic
256C2×C11×C4⋊C4—21no—
257C2×C11×C4⋊C4—21no—
258C2×C11×C4⋊C4—21no—
259C2×C11×C4⋊C4—21no—
260C2×C11×C4⋊C4—21no—
261C2×C11×C4⋊C4—21no—
262C2×C11×C4⋊C4—21no—
263C2×C11×C4⋊C4—22no—
264C2×C11×C4⋊C4—22no—
265C2×C11×C4⋊C4C2311yescharacteristic
266C2×C11×C4⋊C4C2311yescharacteristic
267C2×C11×C4⋊C4C2311yescharacteristic
268C2×C42×C11—21no—
269C2×C42×C11—21no—
270C2×C42×C11C2311yescharacteristic
271C11×#107C2312yes—
272C11×#107C2312yes—
273C11×#107C2312yes—
274C11×#106C2312yes—
275C11×#106C2312yes—
276C11×#106C2312yes—
277C11×C4⋊C8C2311yescharacteristic
278C11×C4⋊C8C2311yescharacteristic
279C11×C4⋊C8C2311yescharacteristic
280C11×C4⋊C8C2311yescharacteristic
281C11×C4⋊C8C2312yes—
282C11×C4⋊C8C2312yes—
283C11×C4⋊C8C2312yes—
284C11×C4⋊C8C2312yes—
285C11×#103C2312yes—
286C11×#103C2312yes—
287C11×#103C2312yes—
288C11×#103C2312yes—
289C11×#103C2311yescharacteristic
290C11×#103C2311yescharacteristic
291C11×#103C2312yes—
292C11×#103C2312yes—
293C11×#103C2312yes—
294C11×#103C2312yes—
295C11×#103C2312yes—
296C11×#103C2312yes—
297C11×#103C2311yescharacteristic
298C11×#103C2311yescharacteristic
299C11×#103C2312yes—
300C11×#102C2311yescharacteristic
301C11×#102C2311yescharacteristic
302C11×#102C2312yes—
303C11×#102C2312yes—
304C11×#102C2312yes—
305C11×#102C2312yes—
306C11×#102C2311yescharacteristic
307C11×#102C2311yescharacteristic
308C11×#102C2312yes—
309C11×#97C2312yes—
310C11×#97C2312yes—
311C11×#97C2312yes—
312C4×C8×C11C2312yes—
313C4×C8×C11C2312yes—
314C4×C8×C11C2312yes—
315#61350C1111yesmaximal, characteristic, direct product factor, Sylow
316C11×#41—22no—
317C11×#41—22no—
318C11×#41—22no—
319C11×#41—22no—
320C11×#41—22no—
321C11×#41#4114yes—
322C2×Q8×C11—21no—
323C2×Q8×C11—22no—
324C2×Q8×C11—22no—
325C2×Q8×C11—22no—
326C2×Q8×C11—22no—
327C2×Q8×C11C2×D412yes—
328C2×Q8×C11C2×D412yes—
329C2×Q8×C11C2412yes—
330C2×Q8×C11C2411yescharacteristic
331C2×Q8×C11C2411yescharacteristic
332C2×Q8×C11C2411yescharacteristic
333C2×D4×C11—21no—
334C2×D4×C11—21no—
335C2×D4×C11—21no—
336C2×D4×C11—21no—
337C2×D4×C11—21no—
338C2×D4×C11C2411yescharacteristic
339C2×D4×C11C2411yescharacteristic
340C2×D4×C11C2411yescharacteristic
341C22×C4×C11—21no—
342C22×C4×C11—21no—
343C22×C4×C11—21no—
344C22×C4×C11—21no—
345C22×C4×C11—21no—
346C22×C4×C11—21no—
347C22×C4×C11—21no—
348C22×C4×C11—21no—
349C22×C4×C11—21no—
350C22×C4×C11—22no—
351C22×C4×C11—22no—
352C22×C4×C11—22no—
353C22×C4×C11—22no—
354C22×C4×C11C2×D411yescharacteristic
355C22×C4×C11C2×D411yescharacteristic
356C22×C4×C11C2411yescharacteristic
357C11×Q16—22no—
358C11×Q16—22no—
359C11×Q16—24no—
360C11×SD16—22no—
361C11×SD16—22no—
362C11×SD16—22no—
363C11×SD16—22no—
364C11×SD16—24no—
365C11×D8—22no—
366C11×D8—22no—
367C11×M16—22no—
368C11×M16—22no—
369C2×C8×C11—22no—
370C2×C8×C11—22no—
371C2×C8×C11C2412yes—
372C2×C8×C11C2411yescharacteristic
373C2×C8×C11C2411yescharacteristic
374C2×C8×C11C2412yes—
375C2×C8×C11C2411yescharacteristic
376C2×C8×C11C2411yescharacteristic
377C11×C4⋊C4—21no—
378C11×C4⋊C4—22no—
379C11×C4⋊C4—22no—
380C11×C4⋊C4—21no—
381C11×C4⋊C4—21no—
382C11×C4⋊C4—22no—
383C11×C4⋊C4—22no—
384C11×C4⋊C4—22no—
385C11×C4⋊C4—22no—
386C11×C4⋊C4—22no—
387C11×C4⋊C4—22no—
388C11×C4⋊C4—22no—
389C11×C4⋊C4—22no—
390C11×C4⋊C4—22no—
391C11×C4⋊C4—22no—
392C11×C4⋊C4—22no—
393C11×C4⋊C4—22no—
394C11×C4⋊C4—21no—
395C11×C4⋊C4—21no—
396C11×C4⋊C4—22no—
397C11×C4⋊C4—22no—
398C11×C4⋊C4—21no—
399C11×C4⋊C4—21no—
400C11×C4⋊C4—22no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—22no—
404C11×C4⋊C4C2×D411yescharacteristic
405C11×C4⋊C4C2×D411yescharacteristic
406C11×C4⋊C4C2×D411yescharacteristic
407C11×C4⋊C4C2×D412yes—
408C11×C4⋊C4C2×D412yes—
409C11×C4⋊C4C2×D411yescharacteristic
410C11×C4⋊C4C2×D412yes—
411C11×C4⋊C4C2×D412yes—
412C11×C4⋊C4C2×D412yes—
413C11×C4⋊C4C2×D412yes—
414C11×C4⋊C4C2412yes—
415C11×C4⋊C4C2411yescharacteristic
416C11×C4⋊C4C2412yes—
417C11×C4⋊C4C2411yescharacteristic
418C11×C4⋊C4C2412yes—
419C11×C22⋊C4—21no—
420C11×C22⋊C4—21no—
421C11×C22⋊C4—21no—
422C11×C22⋊C4—21no—
423C11×C22⋊C4—21no—
424C11×C22⋊C4—22no—
425C11×C22⋊C4—22no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—22no—
428C11×C22⋊C4—22no—
429C11×C22⋊C4—22no—
430C11×C22⋊C4—21no—
431C11×C22⋊C4—21no—
432C11×C22⋊C4—22no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4C2×D412yes—
435C11×C22⋊C4C2×D412yes—
436C42×C11—22no—
437C42×C11—21no—
438C42×C11—22no—
439C42×C11—21no—
440C42×C11—21no—
441C42×C11—22no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11C2×D411yescharacteristic
446C42×C11C2×D411yescharacteristic
447C42×C11C2411yescharacteristic
448C42×C11C2412yes—
449C42×C11C2412yes—
450C42×C11C2411yescharacteristic
451#3507C2×C1111yescharacteristic, complemented
452#3504C2×C1111yescharacteristic, complemented
453#3377C2×C1112yescomplemented
454#3376C2×C1112yescomplemented
455#3374C2×C1112yescomplemented
456#3372C2×C1112yescomplemented
457#3371C2×C1112yescomplemented
458#3370C2×C1112yescomplemented
459#3364C2×C1112yescomplemented
460#3360C2×C1112yescomplemented
461#3142C2×C1111yescharacteristic, complemented
462#3137C2×C1111yescharacteristic, complemented
463#3137C2×C1111yescharacteristic, complemented
464#3084C2×C1111yescharacteristic, complemented
465#3083C2×C1111yescharacteristic, complemented
466C2×#479C2×C1111yescharacteristic, complemented
467#3046C2×C1111yescharacteristic, complemented
468#3046C2×C1111yescharacteristic, complemented
469#3035C2×C1111yescharacteristic
470#2962C2×C1111yescharacteristic, complemented
471#2952C2×C1111yescharacteristic, complemented
472#2951C2×C1111yescharacteristic, complemented
473C4×#137C2×C1111yescharacteristic, complemented
474C23×C11—21no—
475C23×C11—21no—
476C23×C11—21no—
477C23×C11C22×D411yescharacteristic
478Q8×C11—21no—
479Q8×C11—22no—
480Q8×C11—21no—
481Q8×C11—21no—
482Q8×C11—22no—
483Q8×C11—21no—
484Q8×C11—21no—
485Q8×C11—42no—
486Q8×C11—42no—
487Q8×C11—42no—
488Q8×C11—82no—
489Q8×C11—82no—
490Q8×C11C2×#4112yes—
491D4×C11—24no—
492D4×C11—21no—
493D4×C11—21no—
494D4×C11—21no—
495D4×C11—21no—
496D4×C11—21no—
497D4×C11—42no—
498D4×C11—42no—
499D4×C11—42no—
500D4×C11—81no—
501D4×C11C2×#4112yes—
502C2×C4×C11—21no—
503C2×C4×C11—24no—
504C2×C4×C11—22no—
505C2×C4×C11—22no—
506C2×C4×C11—21no—
507C2×C4×C11—21no—
508C2×C4×C11—21no—
509C2×C4×C11—21no—
510C2×C4×C11—22no—
511C2×C4×C11—22no—
512C2×C4×C11—41no—
513C2×C4×C11—41no—
514C2×C4×C11—42no—
515C2×C4×C11—42no—
516C2×C4×C11—42no—
517C2×C4×C11—81no—
518C2×C4×C11—82no—
519C2×C4×C11—82no—
520C2×C4×C11—82no—
521C2×C4×C11—81no—
522C2×C4×C11—82no—
523C2×C4×C11—81no—
524C2×C4×C11—81no—
525C2×C4×C11—81no—
526C2×C4×C11C22×D411yescharacteristic
527C2×C4×C11C22×D411yescharacteristic
528C2×C4×C11C22×D412yes—
529C2×C4×C11C22×D411yescharacteristic
530C2×C4×C11C22×D412yes—
531C2×C4×C11C22×D412yes—
532C2×C4×C11C22×D411yescharacteristic
533C2×C4×C11C22×D412yes—
534C2×C4×C11C22×D411yescharacteristic
535C2×C4×C11C2×#4112yes—
536C2×C4×C112−1+412yes—
537C2×C4×C11C2511yescharacteristic
538C8×C11—21no—
539C8×C11—21no—
540C8×C11—21no—
541C8×C11—21no—
542C8×C11—22no—
543C8×C11—22no—
544C2×#137C22×C1111yescharacteristic
545C2×#135C22×C1111yescharacteristic
546C2×#135C22×C1111yescharacteristic
547#559C22×C1112yes—
548#557C22×C1112yes—
549#557C22×C1112yes—
550#557C22×C1112yes—
551#556—21no—
552#556C22×C1112yes—
553#556C22×C1112yes—
554#554—21no—
555#554—22no—
556#554—22no—
557#554C22×C1112yes—
558#554C22×C1112yes—
559#552—21no—
560#552—21no—
561#544—21no—
562#544—21no—
563#544C22×C1111yescharacteristic
564#544C22×C1111yescharacteristic
565#539—22no—
566#536C22×C1111yescharacteristic
567#536C22×C1111yescharacteristic
568#533—21no—
569#533C22×C1111yescharacteristic
570#532C22×C1111yescharacteristic
571#529—22no—
572C2×#125—21no—
573C2×#125C22×C1111yescharacteristic
574#520C22×C1111yescharacteristic
575#520C22×C1111yescharacteristic
576#520C22×C1111yescharacteristic
577#520C22×C1111yescharacteristic
578C4×#41C22×C1111yescharacteristic
579C2×C4×Q8C22×C1111yescharacteristic
580#491C22×C1112yes—
581#491C22×C1112yes—
582#491C22×C1112yes—
583#490C22×C1112yes—
584#489C22×C1112yes—
585#489C22×C1112yes—
586#488C22×C1112yes—
587#488C22×C1112yes—
588#488C22×C1112yes—
589#488C22×C1112yes—
590#487C22×C1112yes—
591#487C22×C1112yes—
592#479C22×C1112yes—
593#479C22×C1112yes—
594#479C22×C1112yes—
595#479C22×C1112yes—
596#479C22×C1112yes—
597#479C22×C1112yes—
598#478C22×C1112yes—
599#478C22×C1112yes—
600#477C22×C1112yes—
601#476C22×C1112yes—
602#475C22×C1112yes—
603#474C22×C1112yes—
604#464C22×C1111yescharacteristic
605#464C22×C1112yes—
606#464C22×C1112yes—
607#464C22×C1111yescharacteristic
608#463C22×C1111yescharacteristic
609#463C22×C1112yes—
610#463C22×C1112yes—
611#463C22×C1111yescharacteristic
612#462C22×C1112yes—
613#462C22×C1111yescharacteristic
614#462C22×C1112yes—
615#461C22×C1112yes—
616#461C22×C1111yescharacteristic
617#461C22×C1112yes—
618#460C22×C1111yescharacteristic
619#459C22×C1111yescharacteristic
620#446C22×C1112yes—
621#446C22×C1112yes—
622#446C22×C1112yes—
623C8×Q8C22×C1112yes—
624#442C22×C1112yes—
625#441C22×C1112yes—
626#441C22×C1112yes—
627#440C22×C1112yes—
628#440C22×C1112yes—
629#440C22×C1112yes—
630C4×Q16C22×C1112yes—
631C4×Q16C22×C1112yes—
632C4×SD16C22×C1112yes—
633C4×SD16C22×C1112yes—
634C4×SD16C22×C1112yes—
635C4×D8C22×C1112yes—
636#428C22×C1111yescharacteristic
637C2×#107C22×C1111yescharacteristic
638C2×#106C22×C1111yescharacteristic
639#424C22×C1111yescharacteristic
640#424C22×C1111yescharacteristic
641C2×C4⋊C8C22×C1111yescharacteristic
642#419C22×C1111yescharacteristic
643#417C22×C1111yescharacteristic
644#417C22×C1111yescharacteristic
645#417C22×C1111yescharacteristic
646#417C22×C1111yescharacteristic
647#417C22×C1111yescharacteristic
648#416C22×C1111yescharacteristic
649#416C22×C1111yescharacteristic
650C2×#103C22×C1111yescharacteristic
651C2×#103C22×C1111yescharacteristic
652#405C22×C1111yescharacteristic
653#405C22×C1111yescharacteristic
654C4×M16C22×C1111yescharacteristic
655C22×C11—21no—
656C22×C11—21no—
657C22×C11—22no—
658C22×C11—41no—
659C22×C11—41no—
660C22×C11—41no—
661C22×C11—41no—
662C22×C11—41no—
663C22×C11—41no—
664C22×C11—41no—
665C22×C11—41no—
666C22×C11#54812yes—
667C22×C11C23×D411yescharacteristic
668C4×C11—21no—
669C4×C11—21no—
670C4×C11—22no—
671C4×C11—22no—
672C4×C11—21no—
673C4×C11—21no—
674C4×C11—22no—
675C4×C11—22no—
676C4×C11—22no—
677C4×C11—42no—
678C4×C11—42no—
679C4×C11—41no—
680C4×C11—42no—
681C4×C11—41no—
682C4×C11—41no—
683C4×C11—41no—
684C4×C11—42no—
685C4×C11#54812yes—
686C4×C11C22×#4111yescharacteristic
687C4×C11C2×2−1+411yescharacteristic
688C2×#41C23×C1111yescharacteristic
689C2×#41C23×C1111yescharacteristic
690C2×#41C23×C1111yescharacteristic
691C22×Q8C23×C1111yescharacteristic
692#137—24no—
693#135—24no—
694#135—24no—
695C2×Q16C23×C1111yescharacteristic
696C2×Q16C23×C1111yescharacteristic
697C2×Q16C23×C1112yes—
698C2×SD16C23×C1111yescharacteristic
699C2×SD16C23×C1111yescharacteristic
700C2×SD16C23×C1111yescharacteristic
701C2×SD16C23×C1111yescharacteristic
702C2×SD16C23×C1112yes—
703C2×D8C23×C1111yescharacteristic
704C2×D8C23×C1111yescharacteristic
705C2×M16C23×C1111yescharacteristic
706C2×M16C23×C1111yescharacteristic
707C22×C8C23×C1111yescharacteristic
708C22×C8C23×C1111yescharacteristic
709C4⋊Q8—22no—
710C4⋊Q8—22no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8D4×C1111yescharacteristic
714C4⋊Q8D4×C1111yescharacteristic
715C4⋊Q8C23×C1111yescharacteristic
716C4⋊Q8C23×C1112yes—
717C4⋊Q8C23×C1112yes—
718C4⋊Q8C23×C1112yes—
719C4⋊Q8C23×C1112yes—
720#127C23×C1111yescharacteristic
721#126—22no—
722#126—22no—
723#126—22no—
724#126—22no—
725#125—21no—
726#125—21no—
727#125—22no—
728#125—22no—
729#125—22no—
730#125—22no—
731#125—22no—
732#125—22no—
733#125—22no—
734#125—21no—
735#125—21no—
736#125D4×C1111yescharacteristic
737#125D4×C1111yescharacteristic
738#125C23×C1112yes—
739#125C23×C1112yes—
740#125C23×C1112yes—
741#125C23×C1112yes—
742#124—22no—
743#124C23×C1111yescharacteristic
744#124C23×C1111yescharacteristic
745#124C23×C1112yes—
746#124C23×C1112yes—
747#123—22no—
748#123—22no—
749#123—22no—
750#123—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8D4×C1112yes—
766C22⋊Q8D4×C1112yes—
767#121—21no—
768#121—21no—
769C4×Q8—22no—
770C4×Q8—22no—
771C4×Q8—22no—
772C4×Q8—21no—
773C4×Q8—21no—
774C4×Q8C23×C1112yes—
775C4×Q8C23×C1112yes—
776C4×Q8C23×C1111yescharacteristic
777C4×Q8C23×C1111yescharacteristic
778C4×Q8C23×C1112yes—
779C4×Q8C23×C1112yes—
780C4×Q8C23×C1112yes—
781C4×Q8C23×C1112yes—
782C4×Q8C23×C1112yes—
783C4×Q8C23×C1112yes—
784C4×D4—21no—
785C4×D4—21no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—21no—
792C4×D4—21no—
793C4×D4C23×C1111yescharacteristic
794C4×D4C23×C1111yescharacteristic
795C4×D4C23×C1112yes—
796C4×D4C23×C1112yes—
797C4×D4C23×C1112yes—
798C4×D4C23×C1112yes—
799#117—21no—
800#117—21no—
801#117—21no—
802#117—21no—
803#117—22no—
804#117—22no—
805#117—21no—
806#117C23×C1111yescharacteristic
807#117C23×C1111yescharacteristic
808#117C23×C1111yescharacteristic
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—22no—
817C2×C4⋊C4—22no—
818C2×C4⋊C4C23×C1111yescharacteristic
819C2×C4⋊C4C23×C1111yescharacteristic
820C2×C4⋊C4C23×C1111yescharacteristic
821C2×C42—21no—
822C2×C42—21no—
823C2×C42C23×C1111yescharacteristic
824#107C23×C1112yes—
825#107C23×C1112yes—
826#107C23×C1112yes—
827#106C23×C1112yes—
828#106C23×C1112yes—
829#106C23×C1112yes—
830C4⋊C8C23×C1111yescharacteristic
831C4⋊C8C23×C1111yescharacteristic
832C4⋊C8C23×C1111yescharacteristic
833C4⋊C8C23×C1111yescharacteristic
834C4⋊C8C23×C1112yes—
835C4⋊C8C23×C1112yes—
836C4⋊C8C23×C1112yes—
837C4⋊C8C23×C1112yes—
838#103C23×C1112yes—
839#103C23×C1112yes—
840#103C23×C1112yes—
841#103C23×C1112yes—
842#103C23×C1111yescharacteristic
843#103C23×C1111yescharacteristic
844#103C23×C1111yescharacteristic
845#103C23×C1111yescharacteristic
846#103C23×C1112yes—
847#103C23×C1112yes—
848#103C23×C1112yes—
849#103C23×C1112yes—
850#103C23×C1112yes—
851#103C23×C1112yes—
852#103C23×C1112yes—
853#102C23×C1111yescharacteristic
854#102C23×C1111yescharacteristic
855#102C23×C1111yescharacteristic
856#102C23×C1111yescharacteristic
857#102C23×C1112yes—
858#102C23×C1112yes—
859#102C23×C1112yes—
860#102C23×C1112yes—
861#102C23×C1112yes—
862#97C23×C1112yes—
863#97C23×C1112yes—
864#97C23×C1112yes—
865C4×C8C23×C1112yes—
866C4×C8C23×C1112yes—
867C4×C8C23×C1112yes—
868C2×C11—22no—
869C2×C11—42no—
870C2×C11—81no—
871C2×C11—81no—
872C2×C11C2×#54811yescharacteristic
873C2×C11#358411yescharacteristic
874C2×C11#358611yescharacteristic
875#41—22no—
876#41—22no—
877#41—22no—
878#41—22no—
879#41—22no—
880#41C11×#4114yes—
881C2×Q8—21no—
882C2×Q8—22no—
883C2×Q8—22no—
884C2×Q8—22no—
885C2×Q8—22no—
886C2×Q8C2×D4×C1112yes—
887C2×Q8C2×D4×C1112yes—
888C2×Q8C24×C1112yes—
889C2×Q8C24×C1111yescharacteristic
890C2×Q8C24×C1111yescharacteristic
891C2×Q8C24×C1111yescharacteristic
892C2×D4—21no—
893C2×D4—21no—
894C2×D4—21no—
895C2×D4—21no—
896C2×D4—21no—
897C2×D4C24×C1111yescharacteristic
898C2×D4C24×C1111yescharacteristic
899C2×D4C24×C1111yescharacteristic
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—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4C2×D4×C1111yescharacteristic
914C22×C4C2×D4×C1111yescharacteristic
915C22×C4C24×C1111yescharacteristic
916Q16—22no—
917Q16—22no—
918Q16—24no—
919SD16—22no—
920SD16—22no—
921SD16—22no—
922SD16—22no—
923SD16—24no—
924D8—22no—
925D8—22no—
926M16—22no—
927M16—22no—
928C2×C8—22no—
929C2×C8—22no—
930C2×C8C24×C1112yes—
931C2×C8C24×C1111yescharacteristic
932C2×C8C24×C1111yescharacteristic
933C2×C8C24×C1112yes—
934C2×C8C24×C1111yescharacteristic
935C2×C8C24×C1111yescharacteristic
936C4⋊C4—21no—
937C4⋊C4—22no—
938C4⋊C4—22no—
939C4⋊C4—21no—
940C4⋊C4—21no—
941C4⋊C4—22no—
942C4⋊C4—22no—
943C4⋊C4—22no—
944C4⋊C4—22no—
945C4⋊C4—22no—
946C4⋊C4—22no—
947C4⋊C4—22no—
948C4⋊C4—22no—
949C4⋊C4—22no—
950C4⋊C4—22no—
951C4⋊C4—22no—
952C4⋊C4—22no—
953C4⋊C4—21no—
954C4⋊C4—21no—
955C4⋊C4—22no—
956C4⋊C4—22no—
957C4⋊C4—21no—
958C4⋊C4—21no—
959C4⋊C4—22no—
960C4⋊C4—22no—
961C4⋊C4—22no—
962C4⋊C4—22no—
963C4⋊C4C2×D4×C1111yescharacteristic
964C4⋊C4C2×D4×C1111yescharacteristic
965C4⋊C4C2×D4×C1111yescharacteristic
966C4⋊C4C2×D4×C1112yes—
967C4⋊C4C2×D4×C1112yes—
968C4⋊C4C2×D4×C1111yescharacteristic
969C4⋊C4C2×D4×C1112yes—
970C4⋊C4C2×D4×C1112yes—
971C4⋊C4C2×D4×C1112yes—
972C4⋊C4C2×D4×C1112yes—
973C4⋊C4C24×C1112yes—
974C4⋊C4C24×C1111yescharacteristic
975C4⋊C4C24×C1112yes—
976C4⋊C4C24×C1111yescharacteristic
977C4⋊C4C24×C1112yes—
978C22⋊C4—21no—
979C22⋊C4—21no—
980C22⋊C4—21no—
981C22⋊C4—21no—
982C22⋊C4—21no—
983C22⋊C4—22no—
984C22⋊C4—22no—
985C22⋊C4—22no—
986C22⋊C4—22no—
987C22⋊C4—22no—
988C22⋊C4—22no—
989C22⋊C4—21no—
990C22⋊C4—21no—
991C22⋊C4—22no—
992C22⋊C4—22no—
993C22⋊C4C2×D4×C1112yes—
994C22⋊C4C2×D4×C1112yes—
995C42—22no—
996C42—21no—
997C42—22no—
998C42—21no—
999C42—21no—
1000C42—22no—
1001C42—22no—
1002C42—22no—
1003C42—22no—
1004C42C2×D4×C1111yescharacteristic
1005C42C2×D4×C1111yescharacteristic
1006C42C24×C1111yescharacteristic
1007C42C24×C1112yes—
1008C42C24×C1112yes—
1009C42C24×C1111yescharacteristic
1010C11#6135011yescharacteristic, direct product factor, Sylow
1011C23—21no—
1012C23—21no—
1013C23—21no—
1014C23C22×D4×C1111yescharacteristic
1015Q8—21no—
1016Q8—22no—
1017Q8—21no—
1018Q8—21no—
1019Q8—22no—
1020Q8—21no—
1021Q8—21no—
1022Q8—42no—
1023Q8—42no—
1024Q8—42no—
1025Q8—82no—
1026Q8—82no—
1027Q8C2×C11×#4112yes—
1028D4—24no—
1029D4—21no—
1030D4—21no—
1031D4—21no—
1032D4—21no—
1033D4—21no—
1034D4—42no—
1035D4—42no—
1036D4—42no—
1037D4—81no—
1038D4C2×C11×#4112yes—
1039C2×C4—21no—
1040C2×C4—24no—
1041C2×C4—22no—
1042C2×C4—22no—
1043C2×C4—21no—
1044C2×C4—21no—
1045C2×C4—21no—
1046C2×C4—21no—
1047C2×C4—22no—
1048C2×C4—22no—
1049C2×C4—41no—
1050C2×C4—41no—
1051C2×C4—42no—
1052C2×C4—42no—
1053C2×C4—42no—
1054C2×C4—81no—
1055C2×C4—82no—
1056C2×C4—82no—
1057C2×C4—82no—
1058C2×C4—81no—
1059C2×C4—82no—
1060C2×C4—81no—
1061C2×C4—81no—
1062C2×C4—81no—
1063C2×C4C22×D4×C1111yescharacteristic
1064C2×C4C22×D4×C1111yescharacteristic
1065C2×C4C22×D4×C1112yes—
1066C2×C4C22×D4×C1111yescharacteristic
1067C2×C4C22×D4×C1112yes—
1068C2×C4C22×D4×C1112yes—
1069C2×C4C22×D4×C1111yescharacteristic
1070C2×C4C22×D4×C1112yes—
1071C2×C4C22×D4×C1111yescharacteristic
1072C2×C4C2×C11×#4112yes—
1073C2×C4C11×2−1+412yes—
1074C2×C4C25×C1111yescharacteristic
1075C8—21no—
1076C8—21no—
1077C8—21no—
1078C8—21no—
1079C8—22no—
1080C8—22no—
1081C22—21no—
1082C22—21no—
1083C22—22no—
1084C22—41no—
1085C22—41no—
1086C22—41no—
1087C22—41no—
1088C22—41no—
1089C22—41no—
1090C22—41no—
1091C22—41no—
1092C22C11×#54812yes—
1093C22C23×D4×C1111yescharacteristic
1094C4—22no—
1095C4—21no—
1096C4—21no—
1097C4—22no—
1098C4—22no—
1099C4—21no—
1100C4—21no—
1101C4—22no—
1102C4—22no—
1103C4—41no—
1104C4—41no—
1105C4—42no—
1106C4—42no—
1107C4—42no—
1108C4—41no—
1109C4—42no—
1110C4—41no—
1111C4C11×#54812yes—
1112C4C22×C11×#4111yescharacteristic
1113C4C2×C11×2−1+411yescharacteristic
1114C2—22no—
1115C2—42no—
1116C2—81no—
1117C2—81no—
1118C2C2×C11×#54811yescharacteristic
1119C2C11×#358411yescharacteristic
1120C2C11×#358611yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
prime radicalC11×#3035C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#533 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3507C2semidirect
2. C11×#3504C2semidirect
3. C11×#3377C2semidirect
4. C11×#3376C2semidirect
5. C11×#3374C2semidirect
6. C11×#3372C2semidirect
7. C11×#3371C2semidirect
8. C11×#3370C2semidirect
9. C11×#3364C2semidirect
10. C11×#3360C2semidirect
11. C11×#3142C2semidirect
12. C11×#3137C2semidirect
13. C11×#3137C2semidirect
14. C11×#3084C2semidirect
15. C11×#3083C2semidirect
16. C2×C11×#479C2semidirect
17. C11×#3046C2semidirect
18. C11×#3046C2semidirect
20. C11×#2962C2semidirect
21. C11×#2952C2semidirect
22. C11×#2951C2semidirect
23. C4×C11×#137C2semidirect
315. #61350C11direct (N × H)
451. #3507C2×C11semidirect
452. #3504C2×C11semidirect
453. #3377C2×C11semidirect
454. #3376C2×C11semidirect
455. #3374C2×C11semidirect
456. #3372C2×C11semidirect
457. #3371C2×C11semidirect
458. #3370C2×C11semidirect
459. #3364C2×C11semidirect
460. #3360C2×C11semidirect
461. #3142C2×C11semidirect
462. #3137C2×C11semidirect
463. #3137C2×C11semidirect
464. #3084C2×C11semidirect
465. #3083C2×C11semidirect
466. C2×#479C2×C11semidirect
467. #3046C2×C11semidirect
468. #3046C2×C11semidirect
470. #2962C2×C11semidirect
471. #2952C2×C11semidirect
472. #2951C2×C11semidirect
473. C4×#137C2×C11semidirect
1010. C11#61350direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35072
C11×#35042
C11×#33772
C11×#33762
C11×#33742
C11×#33722
C11×#33712
C11×#33702
C11×#33642
C11×#33602
C11×#31422
C11×#31372
C11×#30842
C11×#30832
C2×C11×#4792
C11×#30462
C11×#30352
C11×#29622
C11×#29522
C11×#29512
C4×C11×#1372
#6135011