Finite Group Databasebeta

← C11×#24143 #14601336

Subgroups — C11×#24143 #14601336

Order 2816.

1156 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×#3505C211yesmaximal, characteristic
2C11×#2627C211yesmaximal, characteristic, complemented
3C11×#2618C211yesmaximal, characteristic, complemented
4C11×#2322C211yesmaximal, characteristic, complemented
5C11×#2044C212yesmaximal, complemented
6C11×#2022C212yesmaximal, complemented
7C11×#1996C211yesmaximal, characteristic, complemented
8C11×#1964C211yesmaximal, characteristic, complemented
9C11×#1890C212yesmaximal, complemented
10C11×#1867C212yesmaximal, complemented
11C11×#1799C211yesmaximal, characteristic, complemented
12C11×#553—22no—
13C11×#553—21no—
14C11×#552—21no—
15C11×#551—22no—
16C11×#548—21no—
17C11×#546—21no—
18C11×#539—21no—
19C11×#538—21no—
20C11×#534C2212yes—
21C11×#529—21no—
22C11×#525—21no—
23C2×C11×#123C2211yescharacteristic
24C2×C11×#123C2212yes—
25C2×C11×C22⋊Q8C2211yescharacteristic
26C2×C11×#121C2211yescharacteristic
27C11×#518C2212yes—
28C2×C4×D4×C11C2211yescharacteristic
29C22×C11×C4⋊C4C2211yescharacteristic
30C2×C11×#99C2212yes—
31C2×C11×#99C2212yes—
32C2×C11×#99C2212yes—
33C11×#400—21no—
34C11×#398—21no—
35C11×#398—22no—
36C11×#396—22no—
37C11×#395—21no—
38C11×#394—21no—
39C11×#389—21no—
40C11×#388—21no—
41C11×#387—21no—
42C11×#386C2212yes—
43C11×#386C2211yescharacteristic
44C11×#385—21no—
45C11×#385C2211yescharacteristic
46C11×#385C2212yes—
47C11×#381C2211yescharacteristic
48C11×#381C2212yes—
49C11×#380C2211yescharacteristic
50C11×#380C2211yescharacteristic
51C4×C11×C22⋊C4C2211yescharacteristic
52C11×#342C2212yes—
53C11×#342C2212yes—
54C11×#342C2212yes—
55C2×C11×#41—21no—
56C22×Q8×C11D411yescharacteristic
57C22×D4×C11D411yescharacteristic
58C22×D4×C11C2311yescharacteristic
59C22×D4×C11C2312yes—
60C23×C4×C11D411yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C11×#126—22no—
65C11×#126—22no—
66C11×#126—22no—
67C11×#125—21no—
68C11×#125—22no—
69C11×#124—21no—
70C11×#124—22no—
71C11×#123—22no—
72C11×#123—22no—
73C11×#123—22no—
74C11×#123—22no—
75C11×#123—22no—
76C11×#123—22no—
77C11×#123—22no—
78C11×#123—24no—
79C11×#123—42no—
80C11×C22⋊Q8—21no—
81C11×C22⋊Q8—22no—
82C11×C22⋊Q8—21no—
83C11×C22⋊Q8—21no—
84C11×C22⋊Q8—21no—
85C11×C22⋊Q8—21no—
86C11×#121—21no—
87C11×#121—22no—
88C11×#121—21no—
89C11×#121—21no—
90C11×#121—21no—
91C11×#121—21no—
92C11×#121—22no—
93C11×#121—22no—
94C11×#120—22no—
95C11×#120—22no—
96C4×Q8×C11—21no—
97C4×D4×C11—22no—
98C4×D4×C11—21no—
99C4×D4×C11—21no—
100C4×D4×C11—21no—
101C4×D4×C11—21no—
102C4×D4×C11—21no—
103C4×D4×C11—22no—
104C4×D4×C11—22no—
105C4×D4×C11—22no—
106C4×D4×C11—22no—
107C11×#117—21no—
108C11×#117—22no—
109C11×#117—22no—
110C2×C11×C4⋊C4—21no—
111C2×C11×C4⋊C4—21no—
112C2×C11×C4⋊C4—21no—
113C2×C11×C4⋊C4—21no—
114C2×C11×C4⋊C4—21no—
115C2×C11×C4⋊C4—21no—
116C2×C11×C4⋊C4—21no—
117C2×C11×C4⋊C4—22no—
118C2×C11×C4⋊C4—21no—
119C2×C11×C4⋊C4—21no—
120C2×C11×C4⋊C4—21no—
121C2×C11×C4⋊C4—22no—
122C2×C11×C4⋊C4D411yescharacteristic
123C2×C11×C4⋊C4D411yescharacteristic
124C2×C11×C4⋊C4D412yes—
125C2×C11×C4⋊C4D411yescharacteristic
126C2×C11×C22⋊C4—22no—
127C2×C11×C22⋊C4—21no—
128C2×C11×C22⋊C4—22no—
129C2×C11×C22⋊C4—21no—
130C2×C11×C22⋊C4—22no—
131C2×C11×C22⋊C4D411yescharacteristic
132C2×C11×C22⋊C4D412yes—
133C2×C11×C22⋊C4C2312yes—
134C2×C11×C22⋊C4C2311yescharacteristic
135C2×C11×C22⋊C4C2312yes—
136C2×C11×C22⋊C4C2311yescharacteristic
137C2×C11×C22⋊C4C2312yes—
138C2×C11×C22⋊C4C2311yescharacteristic
139C2×C42×C11—21no—
140C2×C42×C11D411yescharacteristic
141C11×#99—24no—
142C11×#99—42no—
143C11×#99—42no—
144C11×#95—21no—
145C11×#95—21no—
146C11×#95—21no—
147C11×#95—21no—
148C11×#95—21no—
149C11×#95—22no—
150C11×#95—22no—
151C11×#95—21no—
152C11×#95—22no—
153C11×#95—21no—
154C11×#95—22no—
155#24143C1111yesmaximal, characteristic, direct product factor, Sylow
156C24×C11C2×D412yes—
157C24×C11C2×D411yescharacteristic
158C24×C11C2411yescharacteristic
159C11×#41—82no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11—81no—
163C2×D4×C11—21no—
164C2×D4×C11—22no—
165C2×D4×C11—21no—
166C2×D4×C11—22no—
167C2×D4×C11—22no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11—22no—
171C2×D4×C11—21no—
172C2×D4×C11—22no—
173C2×D4×C11—21no—
174C2×D4×C11—22no—
175C2×D4×C11—22no—
176C2×D4×C11—22no—
177C2×D4×C11—21no—
178C2×D4×C11—21no—
179C2×D4×C11—81no—
180C22×C4×C11—21no—
181C22×C4×C11—21no—
182C22×C4×C11—21no—
183C22×C4×C11—21no—
184C22×C4×C11—21no—
185C22×C4×C11—21no—
186C22×C4×C11—21no—
187C22×C4×C11—22no—
188C22×C4×C11—22no—
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—22no—
193C22×C4×C11—22no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11—81no—
198C22×C4×C11—81no—
199C22×C4×C11—81no—
200C22×C4×C11C2×D411yescharacteristic
201C22×C4×C11C2×D412yes—
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D412yes—
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D412yes—
206C22×C4×C11C2×D411yescharacteristic
207C22×C4×C11C2×D411yescharacteristic
208C22×C4×C11C2×D411yescharacteristic
209C22×C4×C11C2×D411yescharacteristic
210C22×C4×C11C2×D411yescharacteristic
211C22×C4×C11C2×D411yescharacteristic
212C22×C4×C11#4112yescomplemented
213C11×C4⋊C4—24no—
214C11×C4⋊C4—22no—
215C11×C4⋊C4—22no—
216C11×C4⋊C4—22no—
217C11×C4⋊C4—22no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—22no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—44no—
227C11×C4⋊C4—41no—
228C11×C4⋊C4—41no—
229C11×C4⋊C4—41no—
230C11×C4⋊C4—41no—
231C11×C4⋊C4—81no—
232C11×C4⋊C4—81no—
233C11×C4⋊C4—81no—
234C11×C4⋊C4—82no—
235C11×C22⋊C4—22no—
236C11×C22⋊C4—22no—
237C11×C22⋊C4—24no—
238C11×C22⋊C4—22no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—22no—
241C11×C22⋊C4—22no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—22no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—21no—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—22no—
252C11×C22⋊C4—22no—
253C11×C22⋊C4—21no—
254C11×C22⋊C4—22no—
255C11×C22⋊C4—22no—
256C11×C22⋊C4—21no—
257C11×C22⋊C4—44no—
258C11×C22⋊C4—81no—
259C11×C22⋊C4—82no—
260C11×C22⋊C4#4112yescomplemented
261C42×C11—22no—
262C42×C11—22no—
263C42×C11—21no—
264C42×C11—21no—
265C42×C11—81no—
266#3505C2×C1111yescharacteristic
267#2627C2×C1111yescharacteristic, complemented
268#2618C2×C1111yescharacteristic, complemented
269#2322C2×C1111yescharacteristic, complemented
270#2044C2×C1112yescomplemented
271#2022C2×C1112yescomplemented
272#1996C2×C1111yescharacteristic, complemented
273#1964C2×C1111yescharacteristic, complemented
274#1890C2×C1112yescomplemented
275#1867C2×C1112yescomplemented
276#1799C2×C1111yescharacteristic, complemented
277C23×C11—21no—
278C23×C11—22no—
279C23×C11—21no—
280C23×C11—21no—
281C23×C11—22no—
282C23×C11—22no—
283C23×C11—41no—
284C23×C11—41no—
285C23×C11—41no—
286C23×C11—41no—
287C23×C11—42no—
288C23×C11—42no—
289C23×C11C22×D411yescharacteristic
290C23×C11C22×D411yescharacteristic
291C23×C11C22×D411yescharacteristic
292C23×C11C2×#4111yescharacteristic
293C23×C11C2×#4111yescharacteristic
294C23×C11H(5,𝔽2)11yescharacteristic
295C23×C112−1+411yescharacteristic
296Q8×C11—42no—
297Q8×C11—81no—
298D4×C11—42no—
299D4×C11—42no—
300D4×C11—42no—
301D4×C11—41no—
302D4×C11—41no—
303D4×C11—41no—
304D4×C11—42no—
305D4×C11—42no—
306D4×C11—41no—
307D4×C11—81no—
308D4×C11—82no—
309D4×C11—82no—
310C2×C4×C11—21no—
311C2×C4×C11—22no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—22no—
317C2×C4×C11—22no—
318C2×C4×C11—21no—
319C2×C4×C11—21no—
320C2×C4×C11—22no—
321C2×C4×C11—22no—
322C2×C4×C11—22no—
323C2×C4×C11—22no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—41no—
330C2×C4×C11—42no—
331C2×C4×C11—41no—
332C2×C4×C11—41no—
333C2×C4×C11—41no—
334C2×C4×C11—41no—
335C2×C4×C11—41no—
336C2×C4×C11—41no—
337C2×C4×C11—41no—
338C2×C4×C11—42no—
339C2×C4×C11—41no—
340C2×C4×C11—42no—
341C2×C4×C11—41no—
342C2×C4×C11—42no—
343C2×C4×C11—41no—
344C2×C4×C11—42no—
345C2×C4×C11—42no—
346C2×C4×C11—42no—
347C2×C4×C11—41no—
348C2×C4×C11—42no—
349C2×C4×C11—41no—
350C2×C4×C11—42no—
351C2×C4×C11—41no—
352C2×C4×C11—41no—
353C2×C4×C11—42no—
354C2×C4×C11—42no—
355C2×C4×C11—81no—
356C2×C4×C11—82no—
357C2×C4×C11—82no—
358C2×C4×C11#12011yescharacteristic
359C2×C4×C11#12011yescharacteristic
360C2×C4×C11#12011yescharacteristic
361C2×C4×C11#12011yescharacteristic
362#553—22no—
363#553—21no—
364#552—21no—
365#551—22no—
366#548—21no—
367#546—21no—
368#539—21no—
369#538—21no—
370#534C22×C1112yes—
371#529—21no—
372#525—21no—
373C2×#123C22×C1111yescharacteristic
374C2×#123C22×C1112yes—
375C2×C22⋊Q8C22×C1111yescharacteristic
376C2×#121C22×C1111yescharacteristic
377#518C22×C1112yes—
378C2×C4×D4C22×C1111yescharacteristic
379C22×C4⋊C4C22×C1111yescharacteristic
380C2×#99C22×C1112yes—
381C2×#99C22×C1112yes—
382C2×#99C22×C1112yes—
383#400—21no—
384#398—21no—
385#398—22no—
386#396—22no—
387#395—21no—
388#394—21no—
389#389—21no—
390#388—21no—
391#387—21no—
392#386C22×C1111yescharacteristic
393#386C22×C1112yes—
394#385—21no—
395#385C22×C1111yescharacteristic
396#385C22×C1112yes—
397#381C22×C1111yescharacteristic
398#381C22×C1112yes—
399#380C22×C1111yescharacteristic
400#380C22×C1111yescharacteristic
401C4×C22⋊C4C22×C1111yescharacteristic
402#342C22×C1112yes—
403#342C22×C1112yes—
404#342C22×C1112yes—
405C22×C11—21no—
406C22×C11—21no—
407C22×C11—21no—
408C22×C11—21no—
409C22×C11—21no—
410C22×C11—21no—
411C22×C11—41no—
412C22×C11—41no—
413C22×C11—41no—
414C22×C11—41no—
415C22×C11—42no—
416C22×C11—41no—
417C22×C11—42no—
418C22×C11—41no—
419C22×C11—42no—
420C22×C11—42no—
421C22×C11—41no—
422C22×C11—82no—
423C22×C11—81no—
424C22×C11—82no—
425C22×C11C2×#12011yescharacteristic
426C22×C11#52511yescharacteristic
427C22×C11#53711yescharacteristic
428C22×C11#54611yescharacteristic
429C22×C11#54711yescharacteristic
430C22×C11#54811yescharacteristic
431C22×C11#55011yescharacteristic
432C4×C11—21no—
433C4×C11—21no—
434C4×C11—21no—
435C4×C11—21no—
436C4×C11—42no—
437C4×C11—42no—
438C4×C11—41no—
439C4×C11—42no—
440C4×C11—41no—
441C4×C11—42no—
442C4×C11—41no—
443C4×C11—42no—
444C4×C11—82no—
445C4×C11—82no—
446C4×C11—81no—
447C4×C11—81no—
448C2×#41—21no—
449C22×Q8D4×C1111yescharacteristic
450C22×D4D4×C1111yescharacteristic
451C22×D4C23×C1111yescharacteristic
452C22×D4C23×C1112yes—
453C23×C4D4×C1111yescharacteristic
454C23×C4C23×C1111yescharacteristic
455C23×C4C23×C1111yescharacteristic
456C23×C4C23×C1111yescharacteristic
457#126—22no—
458#126—22no—
459#126—22no—
460#125—21no—
461#125—22no—
462#124—21no—
463#124—22no—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—22no—
468#123—22no—
469#123—22no—
470#123—22no—
471#123—24no—
472#123—42no—
473C22⋊Q8—21no—
474C22⋊Q8—22no—
475C22⋊Q8—21no—
476C22⋊Q8—21no—
477C22⋊Q8—21no—
478C22⋊Q8—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—21no—
484#121—21no—
485#121—22no—
486#121—22no—
487#120—22no—
488#120—22no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497C4×D4—22no—
498C4×D4—22no—
499C4×D4—22no—
500#117—21no—
501#117—22no—
502#117—22no—
503C2×C4⋊C4—21no—
504C2×C4⋊C4—21no—
505C2×C4⋊C4—21no—
506C2×C4⋊C4—21no—
507C2×C4⋊C4—21no—
508C2×C4⋊C4—21no—
509C2×C4⋊C4—21no—
510C2×C4⋊C4—22no—
511C2×C4⋊C4—21no—
512C2×C4⋊C4—21no—
513C2×C4⋊C4—21no—
514C2×C4⋊C4—22no—
515C2×C4⋊C4D4×C1111yescharacteristic
516C2×C4⋊C4D4×C1111yescharacteristic
517C2×C4⋊C4D4×C1112yes—
518C2×C4⋊C4D4×C1111yescharacteristic
519C2×C22⋊C4—22no—
520C2×C22⋊C4—21no—
521C2×C22⋊C4—22no—
522C2×C22⋊C4—21no—
523C2×C22⋊C4—22no—
524C2×C22⋊C4D4×C1111yescharacteristic
525C2×C22⋊C4D4×C1112yes—
526C2×C22⋊C4C23×C1112yes—
527C2×C22⋊C4C23×C1111yescharacteristic
528C2×C22⋊C4C23×C1112yes—
529C2×C22⋊C4C23×C1111yescharacteristic
530C2×C22⋊C4C23×C1112yes—
531C2×C22⋊C4C23×C1111yescharacteristic
532C2×C42—21no—
533C2×C42D4×C1111yescharacteristic
534#99—24no—
535#99—42no—
536#99—42no—
537#95—21no—
538#95—21no—
539#95—21no—
540#95—21no—
541#95—21no—
542#95—22no—
543#95—22no—
544#95—21no—
545#95—22no—
546#95—21no—
547#95—22no—
548C2×C11—21no—
549C2×C11—21no—
550C2×C11—21no—
551C2×C11—21no—
552C2×C11—21no—
553C2×C11—21no—
554C2×C11—81no—
555C2×C11—82no—
556C2×C11#240711yescharacteristic
557C2×C11#302611yescharacteristic
558C2×C11#302811yescharacteristic
559C24C2×D4×C1112yes—
560C24C2×D4×C1111yescharacteristic
561C24C24×C1111yescharacteristic
562#41—82no—
563C2×Q8—21no—
564C2×Q8—21no—
565C2×Q8—81no—
566C2×D4—21no—
567C2×D4—22no—
568C2×D4—21no—
569C2×D4—22no—
570C2×D4—22no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—22no—
574C2×D4—21no—
575C2×D4—22no—
576C2×D4—21no—
577C2×D4—22no—
578C2×D4—22no—
579C2×D4—22no—
580C2×D4—21no—
581C2×D4—21no—
582C2×D4—81no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—22no—
591C22×C4—22no—
592C22×C4—21no—
593C22×C4—21no—
594C22×C4—21no—
595C22×C4—22no—
596C22×C4—22no—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—21no—
600C22×C4—81no—
601C22×C4—81no—
602C22×C4—81no—
603C22×C4C2×D4×C1111yescharacteristic
604C22×C4C2×D4×C1112yes—
605C22×C4C2×D4×C1111yescharacteristic
606C22×C4C2×D4×C1112yes—
607C22×C4C2×D4×C1111yescharacteristic
608C22×C4C2×D4×C1112yes—
609C22×C4C2×D4×C1111yescharacteristic
610C22×C4C2×D4×C1111yescharacteristic
611C22×C4C2×D4×C1111yescharacteristic
612C22×C4C2×D4×C1111yescharacteristic
613C22×C4C2×D4×C1111yescharacteristic
614C22×C4C2×D4×C1111yescharacteristic
615C22×C4C11×#4112yescomplemented
616C4⋊C4—24no—
617C4⋊C4—22no—
618C4⋊C4—22no—
619C4⋊C4—22no—
620C4⋊C4—22no—
621C4⋊C4—21no—
622C4⋊C4—22no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—21no—
627C4⋊C4—22no—
628C4⋊C4—21no—
629C4⋊C4—44no—
630C4⋊C4—41no—
631C4⋊C4—41no—
632C4⋊C4—41no—
633C4⋊C4—41no—
634C4⋊C4—81no—
635C4⋊C4—81no—
636C4⋊C4—81no—
637C4⋊C4—82no—
638C22⋊C4—22no—
639C22⋊C4—22no—
640C22⋊C4—24no—
641C22⋊C4—22no—
642C22⋊C4—22no—
643C22⋊C4—22no—
644C22⋊C4—22no—
645C22⋊C4—21no—
646C22⋊C4—22no—
647C22⋊C4—21no—
648C22⋊C4—22no—
649C22⋊C4—21no—
650C22⋊C4—22no—
651C22⋊C4—21no—
652C22⋊C4—21no—
653C22⋊C4—22no—
654C22⋊C4—22no—
655C22⋊C4—22no—
656C22⋊C4—21no—
657C22⋊C4—22no—
658C22⋊C4—22no—
659C22⋊C4—21no—
660C22⋊C4—44no—
661C22⋊C4—81no—
662C22⋊C4—82no—
663C22⋊C4C11×#4112yescomplemented
664C42—22no—
665C42—22no—
666C42—21no—
667C42—21no—
668C42—81no—
669C11#2414311yescharacteristic, direct product factor, Sylow
670C23—21no—
671C23—22no—
672C23—21no—
673C23—21no—
674C23—22no—
675C23—22no—
676C23—41no—
677C23—41no—
678C23—41no—
679C23—41no—
680C23—42no—
681C23—42no—
682C23C22×D4×C1111yescharacteristic
683C23C22×D4×C1111yescharacteristic
684C23C22×D4×C1111yescharacteristic
685C23C2×C11×#4111yescharacteristic
686C23C2×C11×#4111yescharacteristic
687C23C11×H(5,𝔽2)11yescharacteristic
688C23C11×2−1+411yescharacteristic
689Q8—42no—
690Q8—81no—
691D4—42no—
692D4—42no—
693D4—42no—
694D4—41no—
695D4—41no—
696D4—41no—
697D4—42no—
698D4—42no—
699D4—41no—
700D4—81no—
701D4—82no—
702D4—82no—
703C2×C4—21no—
704C2×C4—22no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—21no—
712C2×C4—21no—
713C2×C4—22no—
714C2×C4—22no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—41no—
718C2×C4—41no—
719C2×C4—41no—
720C2×C4—41no—
721C2×C4—41no—
722C2×C4—41no—
723C2×C4—42no—
724C2×C4—41no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—41no—
728C2×C4—41no—
729C2×C4—41no—
730C2×C4—41no—
731C2×C4—42no—
732C2×C4—41no—
733C2×C4—42no—
734C2×C4—41no—
735C2×C4—42no—
736C2×C4—41no—
737C2×C4—42no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—41no—
741C2×C4—42no—
742C2×C4—41no—
743C2×C4—42no—
744C2×C4—41no—
745C2×C4—41no—
746C2×C4—42no—
747C2×C4—42no—
748C2×C4—81no—
749C2×C4—82no—
750C2×C4—82no—
751C2×C4C11×#12011yescharacteristic
752C2×C4C11×#12011yescharacteristic
753C2×C4C11×#12011yescharacteristic
754C2×C4C11×#12011yescharacteristic
755C22—21no—
756C22—21no—
757C22—21no—
758C22—21no—
759C22—21no—
760C22—21no—
761C22—41no—
762C22—41no—
763C22—41no—
764C22—41no—
765C22—42no—
766C22—41no—
767C22—42no—
768C22—41no—
769C22—42no—
770C22—42no—
771C22—41no—
772C22—82no—
773C22—81no—
774C22—82no—
775C22C2×C11×#12011yescharacteristic
776C22C11×#52511yescharacteristic
777C22C11×#53711yescharacteristic
778C22C11×#54611yescharacteristic
779C22C11×#54711yescharacteristic
780C22C11×#54811yescharacteristic
781C22C11×#55011yescharacteristic
782C4—21no—
783C4—21no—
784C4—21no—
785C4—21no—
786C4—42no—
787C4—42no—
788C4—41no—
789C4—42no—
790C4—41no—
791C4—42no—
792C4—41no—
793C4—42no—
794C4—82no—
795C4—82no—
796C4—81no—
797C4—81no—
798C2—21no—
799C2—21no—
800C2—21no—
801C2—21no—
802C2—21no—
803C2—21no—
804C2—81no—
805C2—82no—
806C2C11×#240711yescharacteristic
807C2C11×#302611yescharacteristic
808C2C11×#302811yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC24C24×C11
prime radicalC11×#3505C2
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2627C2semidirect
3. C11×#2618C2semidirect
4. C11×#2322C2semidirect
5. C11×#2044C2semidirect
6. C11×#2022C2semidirect
7. C11×#1996C2semidirect
8. C11×#1964C2semidirect
9. C11×#1890C2semidirect
10. C11×#1867C2semidirect
11. C11×#1799C2semidirect
155. #24143C11direct (N × H)
212. C22×C4×C11#41semidirect
260. C11×C22⋊C4#41semidirect
267. #2627C2×C11semidirect
268. #2618C2×C11semidirect
269. #2322C2×C11semidirect
270. #2044C2×C11semidirect
271. #2022C2×C11semidirect
272. #1996C2×C11semidirect
273. #1964C2×C11semidirect
274. #1890C2×C11semidirect
275. #1867C2×C11semidirect
276. #1799C2×C11semidirect
615. C22×C4C11×#41semidirect
663. C22⋊C4C11×#41semidirect
669. C11#24143direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35052
C11×#26272
C11×#26182
C11×#23222
C11×#20442
C11×#20222
C11×#19962
C11×#19642
C11×#18902
C11×#18672
C11×#17992
#2414311