Finite Group Databasebeta

← C11×#24325 #14601518

Subgroups — C11×#24325 #14601518

Order 2816.

960 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3504C211yesmaximal, characteristic
2C11×#3078C211yesmaximal, characteristic, complemented
3C4×C11×#137C211yesmaximal, characteristic
4C11×#2565C211yesmaximal, characteristic, complemented
5C11×#2061C211yesmaximal, characteristic, complemented
6C11×#2060C211yesmaximal, characteristic, complemented
7C11×#2028C211yesmaximal, characteristic, complemented
8C11×#2028C211yesmaximal, characteristic, complemented
9C11×#1998C211yesmaximal, characteristic, complemented
10C11×#1986C211yesmaximal, characteristic, complemented
11C11×#1882C211yesmaximal, characteristic
12C11×#1882C211yesmaximal, characteristic
13C11×#1860C211yesmaximal, characteristic
14C11×#1859C211yesmaximal, characteristic
15C11×#1806C211yesmaximal, characteristic
16C2×C11×#137C2211yescharacteristic
17C11×#557—21no—
18C11×#557—21no—
19C11×#554—21no—
20C11×#554—21no—
21C11×#554—22no—
22C11×#554—22no—
23C11×#544—21no—
24C11×#544—21no—
25C11×#544C2211yescharacteristic
26C11×#544C2211yescharacteristic
27C11×#533—21no—
28C11×#533C2211yescharacteristic
29C2×C11×#125—21no—
30C2×C11×#125C2211yescharacteristic
31C11×#520C2211yescharacteristic
32C11×#520C2211yescharacteristic
33C4×C11×#41C2211yescharacteristic
34C2×C4×Q8×C11C2211yescharacteristic
35C11×#479—21no—
36C11×#479—21no—
37C11×#477—21no—
38C11×#475—21no—
39C11×#441—21no—
40C11×#440—21no—
41C4×C11×Q16—21no—
42C4×C11×SD16—21no—
43C11×#428C2211yescharacteristic
44C11×#428C2211yescharacteristic
45C11×#428C2211yescharacteristic
46C11×#423C2211yescharacteristic
47C2×C11×#104C2211yescharacteristic
48C2×C11×#104C2211yescharacteristic
49C11×#419C2211yescharacteristic
50C11×#419C2211yescharacteristic
51C11×#419C2211yescharacteristic
52C11×#417C2211yescharacteristic
53C4×C11×M16C2211yescharacteristic
54C11×#398—22no—
55C11×#391C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#387—22no—
58C11×#384C2211yescharacteristic
59C11×#382C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C11×#343C2211yescharacteristic
62C11×#343C2211yescharacteristic
63C11×#343C2211yescharacteristic
64C11×#343C2211yescharacteristic
65C11×#339C2211yescharacteristic
66C11×#339C2211yescharacteristic
67C11×#339C2211yescharacteristic
68C11×#339C2211yescharacteristic
69C11×#339C2211yescharacteristic
70C11×#339C2211yescharacteristic
71C2×C11×#41C2311yescharacteristic
72C22×Q8×C11C2311yescharacteristic
73C11×#137—22no—
74C11×#137Q814yescomplemented
75C2×C11×Q16—21no—
76C2×C11×SD16—21no—
77C2×C11×M16C2311yescharacteristic
78C2×C11×M16C2311yescharacteristic
79C2×C11×M16C2311yescharacteristic
80C2×C11×M16C2311yescharacteristic
81C11×C4⋊Q8—22no—
82C11×C4⋊Q8—22no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8—21no—
85C11×C4⋊Q8—21no—
86C11×C4⋊Q8—21no—
87C11×C4⋊Q8D411yescharacteristic
88C11×C4⋊Q8D411yescharacteristic
89C11×#125—22no—
90C11×#125—22no—
91C11×#125—22no—
92C11×#125—22no—
93C11×#125—21no—
94C11×#125—21no—
95C11×#125—21no—
96C11×#125—21no—
97C11×#125—21no—
98C11×#125—21no—
99C11×#125—21no—
100C11×#125—21no—
101C11×#125D411yescharacteristic
102C11×#125D411yescharacteristic
103C11×C22⋊Q8—22no—
104C11×C22⋊Q8—22no—
105C11×C22⋊Q8—22no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—22no—
108C11×C22⋊Q8—22no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—22no—
112C11×C22⋊Q8—22no—
113C4×Q8×C11—22no—
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×Q8×C11—21no—
121C4×Q8×C11—21no—
122C4×Q8×C11—21no—
123C4×Q8×C11D411yescharacteristic
124C4×Q8×C11D411yescharacteristic
125C4×D4×C11—21no—
126C4×D4×C11—21no—
127C4×D4×C11—21no—
128C4×D4×C11—21no—
129C4×D4×C11—22no—
130C4×D4×C11—22no—
131C4×D4×C11D411yescharacteristic
132C4×D4×C11D411yescharacteristic
133C11×#117—21no—
134C11×#117—21no—
135C11×#117—21no—
136C11×#117C2311yescharacteristic
137C11×#117C2311yescharacteristic
138C11×#117C2311yescharacteristic
139C2×C11×C4⋊C4—22no—
140C2×C11×C4⋊C4—22no—
141C2×C11×C4⋊C4—21no—
142C2×C11×C4⋊C4—21no—
143C2×C11×C4⋊C4—21no—
144C2×C11×C4⋊C4—21no—
145C2×C11×C4⋊C4—22no—
146C2×C11×C4⋊C4D412yes—
147C2×C11×C4⋊C4D412yes—
148C2×C11×C4⋊C4C2311yescharacteristic
149C2×C11×C4⋊C4C2311yescharacteristic
150C2×C11×C4⋊C4C2311yescharacteristic
151C2×C42×C11—21no—
152C2×C42×C11—21no—
153C2×C42×C11C2311yescharacteristic
154C2×C42×C11C2311yescharacteristic
155C2×C42×C11C2311yescharacteristic
156C11×#107—21no—
157C11×#107—21no—
158C11×#107—21no—
159C11×#106—21no—
160C11×#106—21no—
161C11×#106—21no—
162C11×C4⋊C8—21no—
163C11×C4⋊C8—21no—
164C11×#104—22no—
165C11×#104—22no—
166C11×#103—21no—
167C11×#103—21no—
168C11×#103—21no—
169C11×#103—21no—
170C11×#103—21no—
171C11×#103—21no—
172C11×#103—21no—
173C11×#102—21no—
174C11×#97—21no—
175C4×C8×C11—21no—
176C11×#95—21no—
177C11×#95—22no—
178C11×#95—22no—
179C11×#95—22no—
180#24325C1111yesmaximal, characteristic, direct product factor, Sylow
181C11×#41—21no—
182C11×#41—21no—
183C11×#41C2×Q812yes—
184C11×#41#4112yes—
185C2×Q8×C11—22no—
186C2×Q8×C11—22no—
187C2×Q8×C11—21no—
188C2×Q8×C11—21no—
189C2×Q8×C11—21no—
190C2×Q8×C11—21no—
191C2×Q8×C11—21no—
192C2×Q8×C11—21no—
193C2×Q8×C11—21no—
194C2×Q8×C11C2×D411yescharacteristic
195C2×Q8×C11C2×Q812yes—
196C2×D4×C11—21no—
197C2×D4×C11C2×D411yescharacteristic
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11—22no—
202C22×C4×C11—22no—
203C22×C4×C11—21no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—21no—
207C22×C4×C11C2×D412yes—
208C22×C4×C11C2×D412yes—
209C22×C4×C11C2×D411yescharacteristic
210C22×C4×C11C2×D411yescharacteristic
211C22×C4×C11C2411yescharacteristic
212C11×Q16—24no—
213C11×SD16—24no—
214C11×M16—21no—
215C11×M16—21no—
216C11×M16—21no—
217C11×M16—21no—
218C11×M16—21no—
219C11×M16—21no—
220C11×M16—21no—
221C11×M16C2×Q812yes—
222C2×C8×C11—21no—
223C2×C8×C11—21no—
224C2×C8×C11—21no—
225C2×C8×C11—21no—
226C11×C4⋊C4—22no—
227C11×C4⋊C4—22no—
228C11×C4⋊C4—22no—
229C11×C4⋊C4—22no—
230C11×C4⋊C4—22no—
231C11×C4⋊C4—22no—
232C11×C4⋊C4—22no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4—21no—
235C11×C4⋊C4—21no—
236C11×C4⋊C4—22no—
237C11×C4⋊C4—22no—
238C11×C4⋊C4—22no—
239C11×C4⋊C4—22no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—21no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—21no—
245C11×C4⋊C4—21no—
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—42no—
253C11×C4⋊C4—44no—
254C11×C4⋊C4—41no—
255C11×C4⋊C4—41no—
256C11×C4⋊C4C2×D411yescharacteristic
257C11×C4⋊C4C2×D411yescharacteristic
258C11×C4⋊C4C2×D411yescharacteristic
259C11×C4⋊C4C2×D411yescharacteristic
260C11×C4⋊C4C2×D411yescharacteristic
261C11×C4⋊C4C2×D411yescharacteristic
262C11×C22⋊C4—22no—
263C11×C22⋊C4—22no—
264C11×C22⋊C4—21no—
265C11×C22⋊C4—21no—
266C11×C22⋊C4—21no—
267C11×C22⋊C4—21no—
268C11×C22⋊C4—21no—
269C42×C11—22no—
270C42×C11—22no—
271C42×C11—21no—
272C42×C11—21no—
273C42×C11—21no—
274C42×C11—21no—
275C42×C11—21no—
276C42×C11—21no—
277C42×C11—21no—
278C42×C11—21no—
279C42×C11—21no—
280C42×C11—41no—
281C42×C11—41no—
282C42×C11C2×D411yescharacteristic
283C42×C11C2×D411yescharacteristic
284C42×C11C2×D411yescharacteristic
285C42×C11C2×D411yescharacteristic
286#3504C2×C1111yescharacteristic
287#3078C2×C1111yescharacteristic, complemented
288C4×#137C2×C1111yescharacteristic
289#2565C2×C1111yescharacteristic, complemented
290#2061C2×C1111yescharacteristic, complemented
291#2060C2×C1111yescharacteristic, complemented
292#2028C2×C1111yescharacteristic, complemented
293#2028C2×C1111yescharacteristic, complemented
294#1998C2×C1111yescharacteristic, complemented
295#1986C2×C1111yescharacteristic, complemented
296#1882C2×C1111yescharacteristic
297#1882C2×C1111yescharacteristic
298#1860C2×C1111yescharacteristic
299#1859C2×C1111yescharacteristic
300#1806C2×C1111yescharacteristic
301C23×C11—21no—
302C23×C11C22×D411yescharacteristic
303Q8×C11—21no—
304Q8×C11—22no—
305Q8×C11—22no—
306Q8×C11—41no—
307Q8×C11—41no—
308Q8×C11—81no—
309Q8×C11—81no—
310Q8×C11—82no—
311Q8×C11—82no—
312Q8×C11C22⋊Q812yes—
313D4×C11—22no—
314D4×C11—22no—
315D4×C11—21no—
316D4×C11C22⋊Q812yes—
317C2×C4×C11—21no—
318C2×C4×C11—22no—
319C2×C4×C11—22no—
320C2×C4×C11—22no—
321C2×C4×C11—21no—
322C2×C4×C11—21no—
323C2×C4×C11—21no—
324C2×C4×C11—21no—
325C2×C4×C11—22no—
326C2×C4×C11—22no—
327C2×C4×C11—21no—
328C2×C4×C11—21no—
329C2×C4×C11—22no—
330C2×C4×C11—41no—
331C2×C4×C11—41no—
332C2×C4×C11—41no—
333C2×C4×C11—41no—
334C2×C4×C11—41no—
335C2×C4×C11—41no—
336C2×C4×C11—42no—
337C2×C4×C11—42no—
338C2×C4×C11—41no—
339C2×C4×C11—42no—
340C2×C4×C11—41no—
341C2×C4×C11—41no—
342C2×C4×C11—41no—
343C2×C4×C11—81no—
344C2×C4×C11—81no—
345C2×C4×C11—82no—
346C2×C4×C11—82no—
347C2×C4×C11#12011yescharacteristic
348C2×C4×C11#12011yescharacteristic
349C2×C4×C11#12011yescharacteristic
350C2×C4×C11#12011yescharacteristic
351C2×C4×C11C22×D411yescharacteristic
352C2×C4×C11C22×D411yescharacteristic
353C2×C4×C11C22×Q811yescharacteristic
354C2×C4×C11C2×#4111yescharacteristic
355C2×C4×C112−1+411yescharacteristic
356C2×C4×C112−1+411yescharacteristic
357C8×C11—22no—
358C8×C11—41no—
359C8×C11—41no—
360C8×C11—41no—
361C2×#137C22×C1111yescharacteristic
362#557—21no—
363#557—21no—
364#554—21no—
365#554—21no—
366#554—22no—
367#554—22no—
368#544—21no—
369#544—21no—
370#544C22×C1111yescharacteristic
371#544C22×C1111yescharacteristic
372#533—21no—
373#533C22×C1111yescharacteristic
374C2×#125—21no—
375C2×#125C22×C1111yescharacteristic
376#520C22×C1111yescharacteristic
377#520C22×C1111yescharacteristic
378C4×#41C22×C1111yescharacteristic
379C2×C4×Q8C22×C1111yescharacteristic
380#479—21no—
381#479—21no—
382#477—21no—
383#475—21no—
384#441—21no—
385#440—21no—
386C4×Q16—21no—
387C4×SD16—21no—
388#428C22×C1111yescharacteristic
389#428C22×C1111yescharacteristic
390#428C22×C1111yescharacteristic
391#423C22×C1111yescharacteristic
392C2×#104C22×C1111yescharacteristic
393C2×#104C22×C1111yescharacteristic
394#419C22×C1111yescharacteristic
395#419C22×C1111yescharacteristic
396#419C22×C1111yescharacteristic
397#417C22×C1111yescharacteristic
398C4×M16C22×C1111yescharacteristic
399#398—22no—
400#391C22×C1111yescharacteristic
401#391C22×C1111yescharacteristic
402#387—22no—
403#384C22×C1111yescharacteristic
404#382C22×C1111yescharacteristic
405C4×C4⋊C4C22×C1111yescharacteristic
406#343C22×C1111yescharacteristic
407#343C22×C1111yescharacteristic
408#343C22×C1111yescharacteristic
409#343C22×C1111yescharacteristic
410#339C22×C1111yescharacteristic
411#339C22×C1111yescharacteristic
412#339C22×C1111yescharacteristic
413#339C22×C1111yescharacteristic
414#339C22×C1111yescharacteristic
415#339C22×C1111yescharacteristic
416C22×C11—21no—
417C22×C11—21no—
418C22×C11—22no—
419C22×C11—41no—
420C22×C11—41no—
421C22×C11C2×#12011yescharacteristic
422C22×C11#54811yescharacteristic
423C22×C11D4×Q811yescharacteristic
424C4×C11—22no—
425C4×C11—21no—
426C4×C11—21no—
427C4×C11—21no—
428C4×C11—21no—
429C4×C11—42no—
430C4×C11—42no—
431C4×C11—42no—
432C4×C11—41no—
433C4×C11—41no—
434C4×C11—41no—
435C4×C11—42no—
436C4×C11—41no—
437C4×C11—41no—
438C4×C11—41no—
439C4×C11—81no—
440C4×C11—81no—
441C4×C11C2×C22⋊Q811yescharacteristic
442C4×C11#53611yescharacteristic
443C4×C11#54811yescharacteristic
444C4×C11D4×Q811yescharacteristic
445C2×#41C23×C1111yescharacteristic
446C22×Q8C23×C1111yescharacteristic
447#137—22no—
448#137Q8×C1114yescomplemented
449C2×Q16—21no—
450C2×SD16—21no—
451C2×M16C23×C1111yescharacteristic
452C2×M16C23×C1111yescharacteristic
453C2×M16C23×C1111yescharacteristic
454C2×M16C23×C1111yescharacteristic
455C4⋊Q8—22no—
456C4⋊Q8—22no—
457C4⋊Q8—21no—
458C4⋊Q8—21no—
459C4⋊Q8—21no—
460C4⋊Q8—21no—
461C4⋊Q8D4×C1111yescharacteristic
462C4⋊Q8D4×C1111yescharacteristic
463#125—22no—
464#125—22no—
465#125—22no—
466#125—22no—
467#125—21no—
468#125—21no—
469#125—21no—
470#125—21no—
471#125—21no—
472#125—21no—
473#125—21no—
474#125—21no—
475#125D4×C1111yescharacteristic
476#125D4×C1111yescharacteristic
477C22⋊Q8—22no—
478C22⋊Q8—22no—
479C22⋊Q8—22no—
480C22⋊Q8—22no—
481C22⋊Q8—22no—
482C22⋊Q8—22no—
483C22⋊Q8—21no—
484C22⋊Q8—21no—
485C22⋊Q8—22no—
486C22⋊Q8—22no—
487C4×Q8—22no—
488C4×Q8—22no—
489C4×Q8—21no—
490C4×Q8—21no—
491C4×Q8—21no—
492C4×Q8—21no—
493C4×Q8—21no—
494C4×Q8—21no—
495C4×Q8—21no—
496C4×Q8—21no—
497C4×Q8D4×C1111yescharacteristic
498C4×Q8D4×C1111yescharacteristic
499C4×D4—21no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—22no—
504C4×D4—22no—
505C4×D4D4×C1111yescharacteristic
506C4×D4D4×C1111yescharacteristic
507#117—21no—
508#117—21no—
509#117—21no—
510#117C23×C1111yescharacteristic
511#117C23×C1111yescharacteristic
512#117C23×C1111yescharacteristic
513C2×C4⋊C4—22no—
514C2×C4⋊C4—22no—
515C2×C4⋊C4—21no—
516C2×C4⋊C4—21no—
517C2×C4⋊C4—21no—
518C2×C4⋊C4—21no—
519C2×C4⋊C4—22no—
520C2×C4⋊C4D4×C1112yes—
521C2×C4⋊C4D4×C1112yes—
522C2×C4⋊C4C23×C1111yescharacteristic
523C2×C4⋊C4C23×C1111yescharacteristic
524C2×C4⋊C4C23×C1111yescharacteristic
525C2×C42—21no—
526C2×C42—21no—
527C2×C42C23×C1111yescharacteristic
528C2×C42C23×C1111yescharacteristic
529C2×C42C23×C1111yescharacteristic
530#107—21no—
531#107—21no—
532#107—21no—
533#106—21no—
534#106—21no—
535#106—21no—
536C4⋊C8—21no—
537C4⋊C8—21no—
538#104—22no—
539#104—22no—
540#103—21no—
541#103—21no—
542#103—21no—
543#103—21no—
544#103—21no—
545#103—21no—
546#103—21no—
547#102—21no—
548#97—21no—
549C4×C8—21no—
550#95—21no—
551#95—22no—
552#95—22no—
553#95—22no—
554C2×C11—21no—
555C2×C11—21no—
556C2×C11—42no—
557C2×C11#240911yescharacteristic
558C2×C11#301811yescharacteristic
559C2×C11#302211yescharacteristic
560#41—21no—
561#41—21no—
562#41C2×Q8×C1112yes—
563#41C11×#4112yes—
564C2×Q8—22no—
565C2×Q8—22no—
566C2×Q8—21no—
567C2×Q8—21no—
568C2×Q8—21no—
569C2×Q8—21no—
570C2×Q8—21no—
571C2×Q8—21no—
572C2×Q8—21no—
573C2×Q8C2×D4×C1111yescharacteristic
574C2×Q8C2×Q8×C1112yes—
575C2×D4—21no—
576C2×D4C2×D4×C1111yescharacteristic
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4C2×D4×C1112yes—
587C22×C4C2×D4×C1112yes—
588C22×C4C2×D4×C1111yescharacteristic
589C22×C4C2×D4×C1111yescharacteristic
590C22×C4C24×C1111yescharacteristic
591Q16—24no—
592SD16—24no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—21no—
600M16C2×Q8×C1112yes—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—21no—
614C4⋊C4—21no—
615C4⋊C4—22no—
616C4⋊C4—22no—
617C4⋊C4—22no—
618C4⋊C4—22no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—21no—
627C4⋊C4—21no—
628C4⋊C4—21no—
629C4⋊C4—21no—
630C4⋊C4—21no—
631C4⋊C4—42no—
632C4⋊C4—44no—
633C4⋊C4—41no—
634C4⋊C4—41no—
635C4⋊C4C2×D4×C1111yescharacteristic
636C4⋊C4C2×D4×C1111yescharacteristic
637C4⋊C4C2×D4×C1111yescharacteristic
638C4⋊C4C2×D4×C1111yescharacteristic
639C4⋊C4C2×D4×C1111yescharacteristic
640C4⋊C4C2×D4×C1111yescharacteristic
641C22⋊C4—22no—
642C22⋊C4—22no—
643C22⋊C4—21no—
644C22⋊C4—21no—
645C22⋊C4—21no—
646C22⋊C4—21no—
647C22⋊C4—21no—
648C42—22no—
649C42—22no—
650C42—21no—
651C42—21no—
652C42—21no—
653C42—21no—
654C42—21no—
655C42—21no—
656C42—21no—
657C42—21no—
658C42—21no—
659C42—41no—
660C42—41no—
661C42C2×D4×C1111yescharacteristic
662C42C2×D4×C1111yescharacteristic
663C42C2×D4×C1111yescharacteristic
664C42C2×D4×C1111yescharacteristic
665C11#2432511yescharacteristic, direct product factor, Sylow
666C23—21no—
667C23C22×D4×C1111yescharacteristic
668Q8—21no—
669Q8—22no—
670Q8—22no—
671Q8—41no—
672Q8—41no—
673Q8—81no—
674Q8—81no—
675Q8—82no—
676Q8—82no—
677Q8C11×C22⋊Q812yes—
678D4—22no—
679D4—22no—
680D4—21no—
681D4C11×C22⋊Q812yes—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—22no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—81no—
709C2×C4—81no—
710C2×C4—82no—
711C2×C4—82no—
712C2×C4C11×#12011yescharacteristic
713C2×C4C11×#12011yescharacteristic
714C2×C4C11×#12011yescharacteristic
715C2×C4C11×#12011yescharacteristic
716C2×C4C22×D4×C1111yescharacteristic
717C2×C4C22×D4×C1111yescharacteristic
718C2×C4C22×Q8×C1111yescharacteristic
719C2×C4C2×C11×#4111yescharacteristic
720C2×C4C11×2−1+411yescharacteristic
721C2×C4C11×2−1+411yescharacteristic
722C8—22no—
723C8—41no—
724C8—41no—
725C8—41no—
726C22—21no—
727C22—21no—
728C22—22no—
729C22—41no—
730C22—41no—
731C22C2×C11×#12011yescharacteristic
732C22C11×#54811yescharacteristic
733C22D4×Q8×C1111yescharacteristic
734C4—22no—
735C4—21no—
736C4—21no—
737C4—21no—
738C4—21no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—42no—
746C4—41no—
747C4—41no—
748C4—41no—
749C4—81no—
750C4—81no—
751C4C2×C11×C22⋊Q811yescharacteristic
752C4C11×#53611yescharacteristic
753C4C11×#54811yescharacteristic
754C4D4×Q8×C1111yescharacteristic
755C2—21no—
756C2—21no—
757C2—42no—
758C2C11×#240911yescharacteristic
759C2C11×#301811yescharacteristic
760C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#3078C2semidirect
4. C11×#2565C2semidirect
5. C11×#2061C2semidirect
6. C11×#2060C2semidirect
7. C11×#2028C2semidirect
8. C11×#2028C2semidirect
9. C11×#1998C2semidirect
10. C11×#1986C2semidirect
74. C11×#137Q8semidirect
180. #24325C11direct (N × H)
287. #3078C2×C11semidirect
289. #2565C2×C11semidirect
290. #2061C2×C11semidirect
291. #2060C2×C11semidirect
292. #2028C2×C11semidirect
293. #2028C2×C11semidirect
294. #1998C2×C11semidirect
295. #1986C2×C11semidirect
448. #137Q8×C11semidirect
665. C11#24325direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35042
C11×#30782
C4×C11×#1372
C11×#25652
C11×#20612
C11×#20602
C11×#20282
C11×#19982
C11×#19862
C11×#18822
C11×#18602
C11×#18592
C11×#18062
#2432511