Finite Group Databasebeta

← C11×#24087 #14601280

Subgroups — C11×#24087 #14601280

Order 2816.

984 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3495C211yesmaximal, characteristic
2C11×#3093C211yesmaximal, characteristic
3C11×#2911C211yesmaximal, characteristic, complemented
4C11×#2499C211yesmaximal, characteristic, complemented
5C11×#2061C211yesmaximal, characteristic, complemented
6C11×#2060C211yesmaximal, characteristic, complemented
7C11×#2038C211yesmaximal, characteristic, complemented
8C11×#2038C211yesmaximal, characteristic, complemented
9C11×#1901C211yesmaximal, characteristic, complemented
10C11×#1871C211yesmaximal, characteristic
11C11×#1860C211yesmaximal, characteristic, complemented
12C11×#1859C211yesmaximal, characteristic, complemented
13C11×#1857C211yesmaximal, characteristic, complemented
14C11×#1857C211yesmaximal, characteristic, complemented
15C11×#1826C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C11×#556—21no—
18C11×#554—21no—
19C11×#552—21no—
20C11×#552—22no—
21C11×#552—21no—
22C11×#551—22no—
23C11×#544C2211yescharacteristic
24C11×#542—21no—
25C11×#541—21no—
26C11×#536C2211yescharacteristic
27C11×#533—21no—
28C11×#529—21no—
29C11×#525C2211yescharacteristic
30C2×C11×C22⋊Q8C2211yescharacteristic
31C11×#520C2211yescharacteristic
32C11×#519C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C11×#485—21no—
36C11×#485—21no—
37C11×#482—21no—
38C11×#482—21no—
39C11×#428—21no—
40C11×#428—21no—
41C11×#428C2211yescharacteristic
42C11×#428C2211yescharacteristic
43C11×#428C2211yescharacteristic
44C11×#428C2211yescharacteristic
45C11×#428C2211yescharacteristic
46C11×#428C2211yescharacteristic
47C11×#427—21no—
48C11×#427—21no—
49C2×C11×#104C2211yescharacteristic
50C2×C11×#104C2211yescharacteristic
51C11×#417C2211yescharacteristic
52C11×#417C2211yescharacteristic
53C2×C11×#101C2211yescharacteristic
54C2×C11×#101C2211yescharacteristic
55C11×#407C2211yescharacteristic
56C11×#397—22no—
57C11×#391C2211yescharacteristic
58C11×#391C2211yescharacteristic
59C11×#387—22no—
60C11×#384C2211yescharacteristic
61C11×#382C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63C11×#343C2211yescharacteristic
64C11×#343C2211yescharacteristic
65C11×#339C2211yescharacteristic
66C11×#339C2211yescharacteristic
67C11×#339C2211yescharacteristic
68C11×#339C2211yescharacteristic
69C11×#339C2211yescharacteristic
70C11×#339C2211yescharacteristic
71C2×C11×#41C2311yescharacteristic
72C22×Q8×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C2×C11×M16—21no—
75C2×C11×M16—22no—
76C2×C11×M16—22no—
77C2×C11×M16C2311yescharacteristic
78C2×C11×M16C2311yescharacteristic
79C2×C11×M16C2311yescharacteristic
80C2×C11×M16C2311yescharacteristic
81C22×C8×C11—21no—
82C11×C4⋊Q8—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8—21no—
85C11×#126—22no—
86C11×#126—22no—
87C11×#126—22no—
88C11×#126—22no—
89C11×#125—22no—
90C11×#125—22no—
91C11×#125—22no—
92C11×#125—21no—
93C11×#125—21no—
94C11×#124—22no—
95C11×#124—21no—
96C11×#123—22no—
97C11×#123—22no—
98C11×#123—21no—
99C11×#123—22no—
100C11×C22⋊Q8—22no—
101C11×C22⋊Q8—22no—
102C11×C22⋊Q8—21no—
103C11×C22⋊Q8—21no—
104C11×C22⋊Q8—21no—
105C11×C22⋊Q8—21no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8D411yescharacteristic
110C11×C22⋊Q8D411yescharacteristic
111C11×#121D411yescharacteristic
112C11×#121D411yescharacteristic
113C11×#120—21no—
114C4×Q8×C11—22no—
115C4×Q8×C11—21no—
116C4×Q8×C11—21no—
117C4×Q8×C11—21no—
118C4×Q8×C11—21no—
119C4×Q8×C11—21no—
120C4×D4×C11—22no—
121C4×D4×C11—21no—
122C4×D4×C11—22no—
123C4×D4×C11—21no—
124C4×D4×C11—21no—
125C11×#117—22no—
126C11×#117—22no—
127C11×#117—21no—
128C11×#117—21no—
129C11×#117—22no—
130C11×#117—21no—
131C11×#117—21no—
132C11×#117—21no—
133C11×#117—21no—
134C11×#117—21no—
135C11×#117D411yescharacteristic
136C11×#117D411yescharacteristic
137C11×#117C2311yescharacteristic
138C11×#117C2311yescharacteristic
139C11×#117C2311yescharacteristic
140C2×C11×C4⋊C4—21no—
141C2×C11×C4⋊C4—22no—
142C2×C11×C4⋊C4D412yes—
143C2×C11×C4⋊C4D411yescharacteristic
144C2×C11×C4⋊C4D411yescharacteristic
145C2×C11×C4⋊C4C2311yescharacteristic
146C2×C11×C4⋊C4C2311yescharacteristic
147C2×C11×C4⋊C4C2311yescharacteristic
148C2×C11×C22⋊C4—21no—
149C2×C11×C22⋊C4—21no—
150C2×C11×C22⋊C4—21no—
151C2×C11×C22⋊C4D412yes—
152C2×C42×C11—21no—
153C2×C42×C11—21no—
154C2×C42×C11C2311yescharacteristic
155C2×C42×C11C2311yescharacteristic
156C11×#107—21no—
157C11×#107—21no—
158C11×#107—21no—
159C11×#107—21no—
160C11×#107—21no—
161C11×#107—21no—
162C11×#106—21no—
163C11×#106—21no—
164C11×#106—21no—
165C11×#106—21no—
166C11×#106—21no—
167C11×#106—21no—
168C11×#104—22no—
169C11×#104—22no—
170C11×#103—21no—
171C11×#103—21no—
172C11×#102—21no—
173C11×#102—21no—
174C11×#101—22no—
175C11×#101—22no—
176C11×C22⋊C8—21no—
177C11×C22⋊C8—21no—
178C11×#95—21no—
179C11×#95—22no—
180C11×#95—22no—
181C11×#95—22no—
182#24087C1111yesmaximal, characteristic, direct product factor, Sylow
183C24×C11C2×D411yescharacteristic
184C11×#41—21no—
185C11×#41—21no—
186C11×#41—21no—
187C11×#41—21no—
188C2×Q8×C11—22no—
189C2×Q8×C11—21no—
190C2×Q8×C11—21no—
191C2×Q8×C11—21no—
192C2×Q8×C11—21no—
193C2×Q8×C11—21no—
194C2×Q8×C11—21no—
195C2×Q8×C11C2×D411yescharacteristic
196C2×D4×C11—21no—
197C2×D4×C11—21no—
198C2×D4×C11—21no—
199C2×D4×C11C2×D411yescharacteristic
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—21no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—22no—
207C22×C4×C11—21no—
208C22×C4×C11—21no—
209C22×C4×C11—21no—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11C2×D412yes—
213C22×C4×C11C2×D411yescharacteristic
214C22×C4×C11C2×D411yescharacteristic
215C22×C4×C11C2×D411yescharacteristic
216C22×C4×C11C2×D411yescharacteristic
217C22×C4×C11C2×D411yescharacteristic
218C22×C4×C11C2×D412yes—
219C22×C4×C11C2411yescharacteristic
220C11×M16—24no—
221C11×M16—21no—
222C11×M16—21no—
223C11×M16—21no—
224C11×M16—21no—
225C11×M16—21no—
226C11×M16—21no—
227C11×M16#4112yes—
228C11×M16#4112yes—
229C2×C8×C11—24no—
230C2×C8×C11—21no—
231C2×C8×C11—21no—
232C2×C8×C11—21no—
233C2×C8×C11—21no—
234C11×C4⋊C4—22no—
235C11×C4⋊C4—22no—
236C11×C4⋊C4—22no—
237C11×C4⋊C4—22no—
238C11×C4⋊C4—22no—
239C11×C4⋊C4—22no—
240C11×C4⋊C4—22no—
241C11×C4⋊C4—22no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—22no—
245C11×C4⋊C4—22no—
246C11×C4⋊C4—21no—
247C11×C4⋊C4—21no—
248C11×C4⋊C4—21no—
249C11×C4⋊C4—21no—
250C11×C4⋊C4—21no—
251C11×C4⋊C4—21no—
252C11×C4⋊C4—21no—
253C11×C4⋊C4—21no—
254C11×C4⋊C4—44no—
255C11×C4⋊C4C2×D411yescharacteristic
256C11×C4⋊C4C2×D411yescharacteristic
257C11×C4⋊C4C2×D411yescharacteristic
258C11×C4⋊C4C2×D411yescharacteristic
259C11×C4⋊C4C2×D411yescharacteristic
260C11×C4⋊C4C2×D411yescharacteristic
261C11×C22⋊C4—22no—
262C11×C22⋊C4—22no—
263C11×C22⋊C4—22no—
264C11×C22⋊C4—21no—
265C11×C22⋊C4—21no—
266C11×C22⋊C4—22no—
267C11×C22⋊C4—22no—
268C11×C22⋊C4—21no—
269C11×C22⋊C4—21no—
270C11×C22⋊C4—21no—
271C11×C22⋊C4—21no—
272C11×C22⋊C4—21no—
273C11×C22⋊C4—21no—
274C11×C22⋊C4—21no—
275C11×C22⋊C4—42no—
276C11×C22⋊C4—41no—
277C11×C22⋊C4—41no—
278C42×C11—22no—
279C42×C11—22no—
280C42×C11—22no—
281C42×C11—21no—
282C42×C11—21no—
283C42×C11—21no—
284C42×C11—21no—
285C42×C11—21no—
286C42×C11—21no—
287C42×C11—21no—
288C42×C11—21no—
289C42×C11—21no—
290C42×C11—41no—
291C42×C11—41no—
292#3495C2×C1111yescharacteristic
293#3093C2×C1111yescharacteristic
294#2911C2×C1111yescharacteristic, complemented
295#2499C2×C1111yescharacteristic, complemented
296#2061C2×C1111yescharacteristic, complemented
297#2060C2×C1111yescharacteristic, complemented
298#2038C2×C1111yescharacteristic, complemented
299#2038C2×C1111yescharacteristic, complemented
300#1901C2×C1111yescharacteristic, complemented
301#1871C2×C1111yescharacteristic
302#1860C2×C1111yescharacteristic, complemented
303#1859C2×C1111yescharacteristic, complemented
304#1857C2×C1111yescharacteristic, complemented
305#1857C2×C1111yescharacteristic, complemented
306#1826C2×C1111yescharacteristic, complemented
307C23×C11—21no—
308C23×C11—21no—
309C23×C11—21no—
310C23×C11—41no—
311C23×C11—41no—
312C23×C11#12011yescharacteristic
313C23×C11#12011yescharacteristic
314C23×C11C22×D411yescharacteristic
315Q8×C11—21no—
316Q8×C11—21no—
317Q8×C11—41no—
318Q8×C11—41no—
319Q8×C11—41no—
320Q8×C11—41no—
321Q8×C11—82no—
322D4×C11—21no—
323D4×C11—21no—
324D4×C11—42no—
325D4×C11—41no—
326D4×C11—41no—
327D4×C11—81no—
328C2×C4×C11—21no—
329C2×C4×C11—21no—
330C2×C4×C11—21no—
331C2×C4×C11—21no—
332C2×C4×C11—21no—
333C2×C4×C11—21no—
334C2×C4×C11—21no—
335C2×C4×C11—21no—
336C2×C4×C11—21no—
337C2×C4×C11—21no—
338C2×C4×C11—22no—
339C2×C4×C11—21no—
340C2×C4×C11—21no—
341C2×C4×C11—21no—
342C2×C4×C11—21no—
343C2×C4×C11—21no—
344C2×C4×C11—22no—
345C2×C4×C11—21no—
346C2×C4×C11—21no—
347C2×C4×C11—22no—
348C2×C4×C11—22no—
349C2×C4×C11—22no—
350C2×C4×C11—41no—
351C2×C4×C11—42no—
352C2×C4×C11—41no—
353C2×C4×C11—41no—
354C2×C4×C11—41no—
355C2×C4×C11—42no—
356C2×C4×C11—41no—
357C2×C4×C11—42no—
358C2×C4×C11—41no—
359C2×C4×C11—42no—
360C2×C4×C11—41no—
361C2×C4×C11—41no—
362C2×C4×C11—41no—
363C2×C4×C11—81no—
364C2×C4×C11—82no—
365C2×C4×C11#12011yescharacteristic
366C2×C4×C11#12011yescharacteristic
367C2×C4×C11C22×D411yescharacteristic
368C2×C4×C11C22×D411yescharacteristic
369C2×C4×C11C2×#4111yescharacteristic
370C2×C4×C11C2×#4111yescharacteristic
371C2×C4×C112−1+411yescharacteristic
372C2×C4×C112−1+411yescharacteristic
373C8×C11—22no—
374C8×C11—22no—
375C8×C11—41no—
376C8×C11—41no—
377C22×M16C22×C1111yescharacteristic
378#556—21no—
379#554—21no—
380#552—21no—
381#552—22no—
382#552—21no—
383#551—22no—
384#544C22×C1111yescharacteristic
385#542—21no—
386#541—21no—
387#536C22×C1111yescharacteristic
388#533—21no—
389#529—21no—
390#525C22×C1111yescharacteristic
391C2×C22⋊Q8C22×C1111yescharacteristic
392#520C22×C1111yescharacteristic
393#519C22×C1111yescharacteristic
394C2×#117C22×C1111yescharacteristic
395C2×#117C22×C1111yescharacteristic
396#485—21no—
397#485—21no—
398#482—21no—
399#482—21no—
400#428—21no—
401#428—21no—
402#428C22×C1111yescharacteristic
403#428C22×C1111yescharacteristic
404#428C22×C1111yescharacteristic
405#428C22×C1111yescharacteristic
406#428C22×C1111yescharacteristic
407#428C22×C1111yescharacteristic
408#427—21no—
409#427—21no—
410C2×#104C22×C1111yescharacteristic
411C2×#104C22×C1111yescharacteristic
412#417C22×C1111yescharacteristic
413#417C22×C1111yescharacteristic
414C2×#101C22×C1111yescharacteristic
415C2×#101C22×C1111yescharacteristic
416#407C22×C1111yescharacteristic
417#397—22no—
418#391C22×C1111yescharacteristic
419#391C22×C1111yescharacteristic
420#387—22no—
421#384C22×C1111yescharacteristic
422#382C22×C1111yescharacteristic
423C4×C22⋊C4C22×C1111yescharacteristic
424#343C22×C1111yescharacteristic
425#343C22×C1111yescharacteristic
426#339C22×C1111yescharacteristic
427#339C22×C1111yescharacteristic
428#339C22×C1111yescharacteristic
429#339C22×C1111yescharacteristic
430#339C22×C1111yescharacteristic
431#339C22×C1111yescharacteristic
432C22×C11—21no—
433C22×C11—21no—
434C22×C11—21no—
435C22×C11—21no—
436C22×C11—21no—
437C22×C11—21no—
438C22×C11—21no—
439C22×C11—21no—
440C22×C11—41no—
441C22×C11—41no—
442C22×C11—41no—
443C22×C11—81no—
444C22×C11—81no—
445C22×C11C2×#12011yescharacteristic
446C22×C11#54711yescharacteristic
447C22×C11#54711yescharacteristic
448C4×C11—21no—
449C4×C11—21no—
450C4×C11—42no—
451C4×C11—42no—
452C4×C11—41no—
453C4×C11—42no—
454C4×C11—41no—
455C4×C11—41no—
456C4×C11—41no—
457C4×C11—41no—
458C4×C11—41no—
459C4×C11—41no—
460C4×C11—81no—
461C4×C11—81no—
462C4×C11—81no—
463C4×C11#52511yescharacteristic
464C4×C11#53611yescharacteristic
465C4×C11#54711yescharacteristic
466C4×C11#54711yescharacteristic
467C2×#41C23×C1111yescharacteristic
468C22×Q8C23×C1111yescharacteristic
469C23×C4C23×C1111yescharacteristic
470C2×M16—21no—
471C2×M16—22no—
472C2×M16—22no—
473C2×M16C23×C1111yescharacteristic
474C2×M16C23×C1111yescharacteristic
475C2×M16C23×C1111yescharacteristic
476C2×M16C23×C1111yescharacteristic
477C22×C8—21no—
478C4⋊Q8—21no—
479C4⋊Q8—21no—
480C4⋊Q8—21no—
481#126—22no—
482#126—22no—
483#126—22no—
484#126—22no—
485#125—22no—
486#125—22no—
487#125—22no—
488#125—21no—
489#125—21no—
490#124—22no—
491#124—21no—
492#123—22no—
493#123—22no—
494#123—21no—
495#123—22no—
496C22⋊Q8—22no—
497C22⋊Q8—22no—
498C22⋊Q8—21no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8—21no—
502C22⋊Q8—22no—
503C22⋊Q8—21no—
504C22⋊Q8—21no—
505C22⋊Q8D4×C1111yescharacteristic
506C22⋊Q8D4×C1111yescharacteristic
507#121D4×C1111yescharacteristic
508#121D4×C1111yescharacteristic
509#120—21no—
510C4×Q8—22no—
511C4×Q8—21no—
512C4×Q8—21no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8—21no—
516C4×D4—22no—
517C4×D4—21no—
518C4×D4—22no—
519C4×D4—21no—
520C4×D4—21no—
521#117—22no—
522#117—22no—
523#117—21no—
524#117—21no—
525#117—22no—
526#117—21no—
527#117—21no—
528#117—21no—
529#117—21no—
530#117—21no—
531#117D4×C1111yescharacteristic
532#117D4×C1111yescharacteristic
533#117C23×C1111yescharacteristic
534#117C23×C1111yescharacteristic
535#117C23×C1111yescharacteristic
536C2×C4⋊C4—21no—
537C2×C4⋊C4—22no—
538C2×C4⋊C4D4×C1112yes—
539C2×C4⋊C4D4×C1111yescharacteristic
540C2×C4⋊C4D4×C1111yescharacteristic
541C2×C4⋊C4C23×C1111yescharacteristic
542C2×C4⋊C4C23×C1111yescharacteristic
543C2×C4⋊C4C23×C1111yescharacteristic
544C2×C22⋊C4—21no—
545C2×C22⋊C4—21no—
546C2×C22⋊C4—21no—
547C2×C22⋊C4D4×C1112yes—
548C2×C42—21no—
549C2×C42—21no—
550C2×C42C23×C1111yescharacteristic
551C2×C42C23×C1111yescharacteristic
552#107—21no—
553#107—21no—
554#107—21no—
555#107—21no—
556#107—21no—
557#107—21no—
558#106—21no—
559#106—21no—
560#106—21no—
561#106—21no—
562#106—21no—
563#106—21no—
564#104—22no—
565#104—22no—
566#103—21no—
567#103—21no—
568#102—21no—
569#102—21no—
570#101—22no—
571#101—22no—
572C22⋊C8—21no—
573C22⋊C8—21no—
574#95—21no—
575#95—22no—
576#95—22no—
577#95—22no—
578C2×C11—21no—
579C2×C11—21no—
580C2×C11—41no—
581C2×C11—41no—
582C2×C11—81no—
583C2×C11#240611yescharacteristic
584C2×C11#301811yescharacteristic
585C2×C11#302011yescharacteristic
586C24C2×D4×C1111yescharacteristic
587#41—21no—
588#41—21no—
589#41—21no—
590#41—21no—
591C2×Q8—22no—
592C2×Q8—21no—
593C2×Q8—21no—
594C2×Q8—21no—
595C2×Q8—21no—
596C2×Q8—21no—
597C2×Q8—21no—
598C2×Q8C2×D4×C1111yescharacteristic
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—21no—
602C2×D4C2×D4×C1111yescharacteristic
603C22×C4—21no—
604C22×C4—21no—
605C22×C4—21no—
606C22×C4—21no—
607C22×C4—21no—
608C22×C4—21no—
609C22×C4—22no—
610C22×C4—21no—
611C22×C4—21no—
612C22×C4—21no—
613C22×C4—21no—
614C22×C4—21no—
615C22×C4C2×D4×C1112yes—
616C22×C4C2×D4×C1111yescharacteristic
617C22×C4C2×D4×C1111yescharacteristic
618C22×C4C2×D4×C1111yescharacteristic
619C22×C4C2×D4×C1111yescharacteristic
620C22×C4C2×D4×C1111yescharacteristic
621C22×C4C2×D4×C1112yes—
622C22×C4C24×C1111yescharacteristic
623M16—24no—
624M16—21no—
625M16—21no—
626M16—21no—
627M16—21no—
628M16—21no—
629M16—21no—
630M16C11×#4112yes—
631M16C11×#4112yes—
632C2×C8—24no—
633C2×C8—21no—
634C2×C8—21no—
635C2×C8—21no—
636C2×C8—21no—
637C4⋊C4—22no—
638C4⋊C4—22no—
639C4⋊C4—22no—
640C4⋊C4—22no—
641C4⋊C4—22no—
642C4⋊C4—22no—
643C4⋊C4—22no—
644C4⋊C4—22no—
645C4⋊C4—21no—
646C4⋊C4—21no—
647C4⋊C4—22no—
648C4⋊C4—22no—
649C4⋊C4—21no—
650C4⋊C4—21no—
651C4⋊C4—21no—
652C4⋊C4—21no—
653C4⋊C4—21no—
654C4⋊C4—21no—
655C4⋊C4—21no—
656C4⋊C4—21no—
657C4⋊C4—44no—
658C4⋊C4C2×D4×C1111yescharacteristic
659C4⋊C4C2×D4×C1111yescharacteristic
660C4⋊C4C2×D4×C1111yescharacteristic
661C4⋊C4C2×D4×C1111yescharacteristic
662C4⋊C4C2×D4×C1111yescharacteristic
663C4⋊C4C2×D4×C1111yescharacteristic
664C22⋊C4—22no—
665C22⋊C4—22no—
666C22⋊C4—22no—
667C22⋊C4—21no—
668C22⋊C4—21no—
669C22⋊C4—22no—
670C22⋊C4—22no—
671C22⋊C4—21no—
672C22⋊C4—21no—
673C22⋊C4—21no—
674C22⋊C4—21no—
675C22⋊C4—21no—
676C22⋊C4—21no—
677C22⋊C4—21no—
678C22⋊C4—42no—
679C22⋊C4—41no—
680C22⋊C4—41no—
681C42—22no—
682C42—22no—
683C42—22no—
684C42—21no—
685C42—21no—
686C42—21no—
687C42—21no—
688C42—21no—
689C42—21no—
690C42—21no—
691C42—21no—
692C42—21no—
693C42—41no—
694C42—41no—
695C11#2408711yescharacteristic, direct product factor, Sylow
696C23—21no—
697C23—21no—
698C23—21no—
699C23—41no—
700C23—41no—
701C23C11×#12011yescharacteristic
702C23C11×#12011yescharacteristic
703C23C22×D4×C1111yescharacteristic
704Q8—21no—
705Q8—21no—
706Q8—41no—
707Q8—41no—
708Q8—41no—
709Q8—41no—
710Q8—82no—
711D4—21no—
712D4—21no—
713D4—42no—
714D4—41no—
715D4—41no—
716D4—81no—
717C2×C4—21no—
718C2×C4—21no—
719C2×C4—21no—
720C2×C4—21no—
721C2×C4—21no—
722C2×C4—21no—
723C2×C4—21no—
724C2×C4—21no—
725C2×C4—21no—
726C2×C4—21no—
727C2×C4—22no—
728C2×C4—21no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—21no—
732C2×C4—21no—
733C2×C4—22no—
734C2×C4—21no—
735C2×C4—21no—
736C2×C4—22no—
737C2×C4—22no—
738C2×C4—22no—
739C2×C4—41no—
740C2×C4—42no—
741C2×C4—41no—
742C2×C4—41no—
743C2×C4—41no—
744C2×C4—42no—
745C2×C4—41no—
746C2×C4—42no—
747C2×C4—41no—
748C2×C4—42no—
749C2×C4—41no—
750C2×C4—41no—
751C2×C4—41no—
752C2×C4—81no—
753C2×C4—82no—
754C2×C4C11×#12011yescharacteristic
755C2×C4C11×#12011yescharacteristic
756C2×C4C22×D4×C1111yescharacteristic
757C2×C4C22×D4×C1111yescharacteristic
758C2×C4C2×C11×#4111yescharacteristic
759C2×C4C2×C11×#4111yescharacteristic
760C2×C4C11×2−1+411yescharacteristic
761C2×C4C11×2−1+411yescharacteristic
762C8—22no—
763C8—22no—
764C8—41no—
765C8—41no—
766C22—21no—
767C22—21no—
768C22—21no—
769C22—21no—
770C22—21no—
771C22—21no—
772C22—21no—
773C22—21no—
774C22—41no—
775C22—41no—
776C22—41no—
777C22—81no—
778C22—81no—
779C22C2×C11×#12011yescharacteristic
780C22C11×#54711yescharacteristic
781C22C11×#54711yescharacteristic
782C4—21no—
783C4—21no—
784C4—42no—
785C4—42no—
786C4—41no—
787C4—42no—
788C4—41no—
789C4—41no—
790C4—41no—
791C4—41no—
792C4—41no—
793C4—41no—
794C4—81no—
795C4—81no—
796C4—81no—
797C4C11×#52511yescharacteristic
798C4C11×#53611yescharacteristic
799C4C11×#54711yescharacteristic
800C4C11×#54711yescharacteristic
801C2—21no—
802C2—21no—
803C2—41no—
804C2—41no—
805C2—81no—
806C2C11×#240611yescharacteristic
807C2C11×#301811yescharacteristic
808C2C11×#302011yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
3. C11×#2911C2semidirect
4. C11×#2499C2semidirect
5. C11×#2061C2semidirect
6. C11×#2060C2semidirect
7. C11×#2038C2semidirect
8. C11×#2038C2semidirect
9. C11×#1901C2semidirect
11. C11×#1860C2semidirect
12. C11×#1859C2semidirect
13. C11×#1857C2semidirect
14. C11×#1857C2semidirect
15. C11×#1826C2semidirect
182. #24087C11direct (N × H)
294. #2911C2×C11semidirect
295. #2499C2×C11semidirect
296. #2061C2×C11semidirect
297. #2060C2×C11semidirect
298. #2038C2×C11semidirect
299. #2038C2×C11semidirect
300. #1901C2×C11semidirect
302. #1860C2×C11semidirect
303. #1859C2×C11semidirect
304. #1857C2×C11semidirect
305. #1857C2×C11semidirect
306. #1826C2×C11semidirect
695. C11#24087direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34952
C11×#30932
C11×#29112
C11×#24992
C11×#20612
C11×#20602
C11×#20382
C11×#19012
C11×#18712
C11×#18602
C11×#18592
C11×#18572
C11×#18262
#2408711