Finite Group Databasebeta

← C11×#24232 #14601425

Subgroups — C11×#24232 #14601425

Order 2816.

1488 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3498C211yesmaximal, characteristic
2C11×#3037C211yesmaximal, characteristic, complemented
3C2×C11×#455C212yesmaximal, complemented
4C4×C11×#137C211yesmaximal, characteristic, complemented
5C11×#2548C211yesmaximal, characteristic, complemented
6C11×#2037C212yesmaximal, complemented
7C11×#2004C212yesmaximal, complemented
8C11×#1980C211yesmaximal, characteristic, complemented
9C11×#1965C211yesmaximal, characteristic, complemented
10C11×#1806C211yesmaximal, characteristic, complemented
11C11×#1792C212yesmaximal, complemented
12C2×C11×H(5,𝔽2)C2212yes—
13C2×C11×#137C2211yescharacteristic
14C2×C11×#137C2212yescomplemented
15C11×#550—21no—
16C11×#550—21no—
17D42×C11—22no—
18D42×C11—22no—
19D42×C11—21no—
20D42×C11—21no—
21C11×#535—22no—
22C11×#535C2212yes—
23C11×#532—21no—
24C11×#532C2211yescharacteristic
25C2×C11×#127—21no—
26C2×C11×#127C2211yescharacteristic
27C2×C11×#124C2212yescomplemented
28C4×C11×#41C2211yescharacteristic
29C2×C4×Q8×C11C2211yescharacteristic, complemented
30C11×#464—22no—
31C11×#462—21no—
32C11×#460—21no—
33C11×#455—28no—
34C11×#441—21no—
35C11×#440—21no—
36C4×C11×Q16—21no—
37C4×C11×SD16—21no—
38C11×#428C2211yescharacteristic, complemented
39C11×#423C2211yescharacteristic, complemented
40C2×C11×#104C2212yes—
41C2×C11×#104C2212yescomplemented
42C2×C11×#104C2212yescomplemented
43C11×#419C2211yescharacteristic, complemented
44C11×#417C2211yescharacteristic
45C11×#417C2212yescomplemented
46C2×C11×#100C2212yescomplemented
47C2×C11×#100C2212yescomplemented
48C4×C11×M16C2211yescharacteristic, complemented
49C11×#394—22no—
50C11×#390—22no—
51C11×#390C2212yescomplemented
52C4×C11×C4⋊C4C2211yescharacteristic, complemented
53C11×#339C2212yescomplemented
54C11×H(5,𝔽2)—24no—
55C11×H(5,𝔽2)—24no—
56C11×H(5,𝔽2)—42no—
57C11×H(5,𝔽2)—42no—
58C2×C11×#41—22no—
59C2×C11×#41—22no—
60C2×C11×#41C2312yes—
61C2×C11×#41C2311yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—24no—
64C22×D4×C11—22no—
65C22×D4×C11—22no—
66C22×D4×C11—22no—
67C22×D4×C11—22no—
68C22×D4×C11D412yes—
69C22×D4×C11D412yes—
70C22×D4×C11C2312yes—
71C11×#137—22no—
72C11×#137—24no—
73C11×#137—42no—
74C11×#137D414yescomplemented
75C2×C11×Q16—21no—
76C2×C11×Q16—22no—
77C2×C11×SD16—21no—
78C2×C11×SD16—22no—
79C2×C11×M16C2312yes—
80C2×C11×M16C2311yescharacteristic
81C2×C11×M16C2311yescharacteristic
82C11×C4⋊Q8D411yescharacteristic
83C11×#127—22no—
84C11×#127—22no—
85C11×#127—22no—
86C11×#127—21no—
87C11×#127—21no—
88C11×#127—21no—
89C11×#127—21no—
90C11×#127D411yescharacteristic
91C11×#124—22no—
92C11×#124—24no—
93C11×#124—42no—
94C11×#124D412yes—
95C11×#121—22no—
96C11×#121—22no—
97C11×#121—24no—
98C11×#121—24no—
99C11×#121—21no—
100C11×#121—21no—
101C11×#121—22no—
102C11×#121—22no—
103C11×#120—24no—
104C11×#120—24no—
105C11×#120—24no—
106C4×Q8×C11—21no—
107C4×Q8×C11—21no—
108C4×Q8×C11—21no—
109C4×Q8×C11—21no—
110C4×Q8×C11D411yescharacteristic
111C4×Q8×C11D411yescharacteristic
112C4×D4×C11—22no—
113C4×D4×C11—22no—
114C4×D4×C11—21no—
115C4×D4×C11—21no—
116C4×D4×C11—21no—
117C4×D4×C11—21no—
118C4×D4×C11D411yescharacteristic
119C4×D4×C11D411yescharacteristic
120C11×#117—21no—
121C11×#117C2311yescharacteristic
122C2×C11×C4⋊C4—21no—
123C2×C11×C4⋊C4—21no—
124C2×C11×C4⋊C4C2311yescharacteristic
125C2×C11×C22⋊C4—24no—
126C2×C11×C22⋊C4—24no—
127C2×C42×C11—21no—
128C2×C42×C11—21no—
129C2×C42×C11C2312yes—
130C2×C42×C11C2311yescharacteristic
131C11×#107—21no—
132C11×#106—21no—
133C11×C4⋊C8—21no—
134C11×C4⋊C8—21no—
135C11×#104—24no—
136C11×#104—24no—
137C11×#104—42no—
138C11×#103—21no—
139C11×#103—22no—
140C11×#103—21no—
141C11×#103—21no—
142C11×#102—21no—
143C11×#102—22no—
144C11×#100—24no—
145C11×#100—42no—
146C11×#97—21no—
147C4×C8×C11—21no—
148C11×#95—21no—
149#24232C1111yesmaximal, characteristic, direct product factor, Sylow
150C24×C11—24no—
151C24×C11C2×D414yes—
152C11×#41—21no—
153C11×#41—21no—
154C11×#41—22no—
155C11×#41—22no—
156C11×#41—22no—
157C11×#41—22no—
158C11×#41—44no—
159C11×#41—44no—
160C11×#41—44no—
161C11×#41—44no—
162C11×#41C2×D412yes—
163C11×#41#4112yes—
164C2×Q8×C11—21no—
165C2×Q8×C11—21no—
166C2×Q8×C11—21no—
167C2×Q8×C11—21no—
168C2×Q8×C11—21no—
169C2×Q8×C11C2×D412yes—
170C2×Q8×C11C2×D411yescharacteristic
171C2×Q8×C11C2×D412yescomplemented
172C2×D4×C11—21no—
173C2×D4×C11—24no—
174C2×D4×C11—24no—
175C2×D4×C11—22no—
176C2×D4×C11—24no—
177C2×D4×C11—24no—
178C2×D4×C11—22no—
179C2×D4×C11—22no—
180C2×D4×C11—21no—
181C2×D4×C11—21no—
182C2×D4×C11—22no—
183C2×D4×C11—22no—
184C2×D4×C11—22no—
185C2×D4×C11—22no—
186C2×D4×C11—22no—
187C2×D4×C11—22no—
188C2×D4×C11—22no—
189C2×D4×C11—22no—
190C2×D4×C11—44no—
191C2×D4×C11—44no—
192C2×D4×C11—44no—
193C2×D4×C11—48no—
194C2×D4×C11—48no—
195C2×D4×C11—44no—
196C2×D4×C11—44no—
197C2×D4×C11—84no—
198C2×D4×C11—84no—
199C2×D4×C11—82no—
200C2×D4×C11C2×D412yes—
201C2×D4×C11C2×D411yescharacteristic
202C22×C4×C11—21no—
203C22×C4×C11—24no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—21no—
207C22×C4×C11—22no—
208C22×C4×C11—22no—
209C22×C4×C11—21no—
210C22×C4×C11C2×D411yescharacteristic
211C22×C4×C11C2×D411yescharacteristic
212C22×C4×C11C2411yescharacteristic
213C11×Q16—24no—
214C11×Q16—44no—
215C11×SD16—24no—
216C11×SD16—44no—
217C11×M16—22no—
218C11×M16—21no—
219C11×M16—21no—
220C11×M16—22no—
221C11×M16—21no—
222C11×M16C2×D412yescomplemented
223C2×C8×C11—21no—
224C2×C8×C11—21no—
225C2×C8×C11—22no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—42no—
233C11×C4⋊C4—41no—
234C11×C4⋊C4—41no—
235C11×C4⋊C4C2×D411yescharacteristic
236C11×C4⋊C4C2×D411yescharacteristic
237C11×C22⋊C4—24no—
238C11×C22⋊C4—24no—
239C11×C22⋊C4—21no—
240C11×C22⋊C4—21no—
241C11×C22⋊C4—21no—
242C11×C22⋊C4—22no—
243C11×C22⋊C4—22no—
244C11×C22⋊C4—48no—
245C11×C22⋊C4—84no—
246C42×C11—21no—
247C42×C11—21no—
248C42×C11—21no—
249C42×C11—22no—
250C42×C11—22no—
251C42×C11—41no—
252C42×C11—41no—
253C42×C11C2×D411yescharacteristic
254C42×C11C2×D411yescharacteristic
255C42×C11C2×D411yescharacteristic
256C42×C11C2×D411yescharacteristic
257#3498C2×C1111yescharacteristic
258#3037C2×C1111yescharacteristic, complemented
259C2×#455C2×C1112yescomplemented
260C4×#137C2×C1111yescharacteristic, complemented
261#2548C2×C1111yescharacteristic, complemented
262#2037C2×C1112yescomplemented
263#2004C2×C1112yescomplemented
264#1980C2×C1111yescharacteristic, complemented
265#1965C2×C1111yescharacteristic, complemented
266#1806C2×C1111yescharacteristic, complemented
267#1792C2×C1112yescomplemented
268C23×C11—21no—
269C23×C11—24no—
270C23×C11—22no—
271C23×C11—24no—
272C23×C11—24no—
273C23×C11—48no—
274C23×C11—44no—
275C23×C11—44no—
276C23×C11—84no—
277C23×C11—84no—
278C23×C11C22×D411yescharacteristic
279Q8×C11—21no—
280Q8×C11—22no—
281Q8×C11—22no—
282Q8×C11—22no—
283Q8×C11—22no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11#12112yes—
287D4×C11—22no—
288D4×C11—22no—
289D4×C11—21no—
290D4×C11—22no—
291D4×C11—22no—
292D4×C11—48no—
293D4×C11—44no—
294D4×C11—42no—
295D4×C11—48no—
296D4×C11—42no—
297D4×C11—42no—
298D4×C11—42no—
299D4×C11—42no—
300D4×C11—42no—
301D4×C11—42no—
302D4×C11—44no—
303D4×C11—42no—
304D4×C11—82no—
305D4×C11—82no—
306D4×C11—84no—
307D4×C11—84no—
308D4×C11#12112yes—
309C2×C4×C11—21no—
310C2×C4×C11—22no—
311C2×C4×C11—22no—
312C2×C4×C11—22no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—22no—
316C2×C4×C11—22no—
317C2×C4×C11—41no—
318C2×C4×C11—48no—
319C2×C4×C11—42no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—42no—
323C2×C4×C11—42no—
324C2×C4×C11—42no—
325C2×C4×C11—42no—
326C2×C4×C11—42no—
327C2×C4×C11—42no—
328C2×C4×C11—41no—
329C2×C4×C11—42no—
330C2×C4×C11#12011yescharacteristic
331C2×C4×C11#12011yescharacteristic
332C2×C4×C11#12011yescharacteristic
333C2×C4×C11#12011yescharacteristic
334C2×C4×C11C22×D411yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C2×C4×C11C2×#4111yescharacteristic
338C2×C4×C11H(5,𝔽2)11yescharacteristic
339C2×C4×C11H(5,𝔽2)11yescharacteristic
340C8×C11—22no—
341C8×C11—41no—
342C8×C11—42no—
343C2×H(5,𝔽2)C22×C1112yes—
344C2×#137C22×C1111yescharacteristic
345C2×#137C22×C1112yescomplemented
346#550—21no—
347#550—21no—
348D42—22no—
349D42—22no—
350D42—21no—
351D42—21no—
352#535—22no—
353#535C22×C1112yes—
354#532—21no—
355#532C22×C1111yescharacteristic
356C2×#127—21no—
357C2×#127C22×C1111yescharacteristic
358C2×#124C22×C1112yescomplemented
359C4×#41C22×C1111yescharacteristic
360C2×C4×Q8C22×C1111yescharacteristic, complemented
361#464—22no—
362#462—21no—
363#460—21no—
364#455—28no—
365#441—21no—
366#440—21no—
367C4×Q16—21no—
368C4×SD16—21no—
369#428C22×C1111yescharacteristic, complemented
370#423C22×C1111yescharacteristic, complemented
371C2×#104C22×C1112yes—
372C2×#104C22×C1112yescomplemented
373C2×#104C22×C1112yescomplemented
374#419C22×C1111yescharacteristic, complemented
375#417C22×C1111yescharacteristic
376#417C22×C1112yescomplemented
377C2×#100C22×C1112yescomplemented
378C2×#100C22×C1112yescomplemented
379C4×M16C22×C1111yescharacteristic, complemented
380#394—22no—
381#390—22no—
382#390C22×C1112yescomplemented
383C4×C4⋊C4C22×C1111yescharacteristic, complemented
384#339C22×C1112yescomplemented
385C22×C11—21no—
386C22×C11—21no—
387C22×C11—22no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—42no—
391C22×C11—44no—
392C22×C11—44no—
393C22×C11—42no—
394C22×C11—44no—
395C22×C11—42no—
396C22×C11—84no—
397C22×C11—84no—
398C22×C11—168no—
399C22×C11C2×#12011yescharacteristic
400C22×C11D4211yescharacteristic
401C22×C11#54611yescharacteristic
402C4×C11—22no—
403C4×C11—21no—
404C4×C11—21no—
405C4×C11—21no—
406C4×C11—42no—
407C4×C11—42no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—82no—
411C4×C11—81no—
412C4×C11#45512yescomplemented
413C4×C11C2×#12111yescharacteristic
414C4×C11#53511yescharacteristic
415C4×C11D4211yescharacteristic
416C4×C11#54611yescharacteristic
417H(5,𝔽2)—24no—
418H(5,𝔽2)—24no—
419H(5,𝔽2)—42no—
420H(5,𝔽2)—42no—
421C2×#41—22no—
422C2×#41—22no—
423C2×#41C23×C1112yes—
424C2×#41C23×C1111yescharacteristic
425C22×Q8C23×C1111yescharacteristic
426C22×D4—24no—
427C22×D4—22no—
428C22×D4—22no—
429C22×D4—22no—
430C22×D4—22no—
431C22×D4D4×C1112yes—
432C22×D4D4×C1112yes—
433C22×D4C23×C1112yes—
434#137—22no—
435#137—24no—
436#137—42no—
437#137D4×C1114yescomplemented
438C2×Q16—21no—
439C2×Q16—22no—
440C2×SD16—21no—
441C2×SD16—22no—
442C2×M16C23×C1112yes—
443C2×M16C23×C1111yescharacteristic
444C2×M16C23×C1111yescharacteristic
445C4⋊Q8D4×C1111yescharacteristic
446#127—22no—
447#127—22no—
448#127—22no—
449#127—21no—
450#127—21no—
451#127—21no—
452#127—21no—
453#127D4×C1111yescharacteristic
454#124—22no—
455#124—24no—
456#124—42no—
457#124D4×C1112yes—
458#121—22no—
459#121—22no—
460#121—24no—
461#121—24no—
462#121—21no—
463#121—21no—
464#121—22no—
465#121—22no—
466#120—24no—
467#120—24no—
468#120—24no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×Q8—21no—
472C4×Q8—21no—
473C4×Q8D4×C1111yescharacteristic
474C4×Q8D4×C1111yescharacteristic
475C4×D4—22no—
476C4×D4—22no—
477C4×D4—21no—
478C4×D4—21no—
479C4×D4—21no—
480C4×D4—21no—
481C4×D4D4×C1111yescharacteristic
482C4×D4D4×C1111yescharacteristic
483#117—21no—
484#117C23×C1111yescharacteristic
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4C23×C1111yescharacteristic
488C2×C22⋊C4—24no—
489C2×C22⋊C4—24no—
490C2×C42—21no—
491C2×C42—21no—
492C2×C42C23×C1112yes—
493C2×C42C23×C1111yescharacteristic
494#107—21no—
495#106—21no—
496C4⋊C8—21no—
497C4⋊C8—21no—
498#104—24no—
499#104—24no—
500#104—42no—
501#103—21no—
502#103—22no—
503#103—21no—
504#103—21no—
505#102—21no—
506#102—22no—
507#100—24no—
508#100—42no—
509#97—21no—
510C4×C8—21no—
511#95—21no—
512C2×C11—21no—
513C2×C11—21no—
514C2×C11—42no—
515C2×C11—84no—
516C2×C11—82no—
517C2×C11#240811yescharacteristic
518C2×C11C2×#45511yescharacteristic
519C2×C11#301911yescharacteristic
520C24—24no—
521C24C2×D4×C1114yes—
522#41—21no—
523#41—21no—
524#41—22no—
525#41—22no—
526#41—22no—
527#41—22no—
528#41—44no—
529#41—44no—
530#41—44no—
531#41—44no—
532#41C2×D4×C1112yes—
533#41C11×#4112yes—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8C2×D4×C1112yes—
540C2×Q8C2×D4×C1111yescharacteristic
541C2×Q8C2×D4×C1112yescomplemented
542C2×D4—21no—
543C2×D4—24no—
544C2×D4—24no—
545C2×D4—22no—
546C2×D4—24no—
547C2×D4—24no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—22no—
560C2×D4—44no—
561C2×D4—44no—
562C2×D4—44no—
563C2×D4—48no—
564C2×D4—48no—
565C2×D4—44no—
566C2×D4—44no—
567C2×D4—84no—
568C2×D4—84no—
569C2×D4—82no—
570C2×D4C2×D4×C1112yes—
571C2×D4C2×D4×C1111yescharacteristic
572C22×C4—21no—
573C22×C4—24no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—22no—
578C22×C4—22no—
579C22×C4—21no—
580C22×C4C2×D4×C1111yescharacteristic
581C22×C4C2×D4×C1111yescharacteristic
582C22×C4C24×C1111yescharacteristic
583Q16—24no—
584Q16—44no—
585SD16—24no—
586SD16—44no—
587M16—21no—
588M16—22no—
589M16—21no—
590M16—22no—
591M16—21no—
592M16C2×D4×C1112yescomplemented
593C2×C8—21no—
594C2×C8—21no—
595C2×C8—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—42no—
603C4⋊C4—41no—
604C4⋊C4—41no—
605C4⋊C4C2×D4×C1111yescharacteristic
606C4⋊C4C2×D4×C1111yescharacteristic
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—48no—
615C22⋊C4—84no—
616C42—21no—
617C42—21no—
618C42—21no—
619C42—22no—
620C42—22no—
621C42—41no—
622C42—41no—
623C42C2×D4×C1111yescharacteristic
624C42C2×D4×C1111yescharacteristic
625C42C2×D4×C1111yescharacteristic
626C42C2×D4×C1111yescharacteristic
627C11#2423211yescharacteristic, direct product factor, Sylow
628C23—21no—
629C23—24no—
630C23—22no—
631C23—24no—
632C23—24no—
633C23—48no—
634C23—44no—
635C23—44no—
636C23—84no—
637C23—84no—
638C23C22×D4×C1111yescharacteristic
639Q8—21no—
640Q8—22no—
641Q8—22no—
642Q8—22no—
643Q8—22no—
644Q8—41no—
645Q8—41no—
646Q8C11×#12112yes—
647D4—22no—
648D4—22no—
649D4—21no—
650D4—22no—
651D4—22no—
652D4—48no—
653D4—44no—
654D4—42no—
655D4—48no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—44no—
663D4—42no—
664D4—82no—
665D4—82no—
666D4—84no—
667D4—84no—
668D4C11×#12112yes—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—41no—
678C2×C4—48no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4C11×#12011yescharacteristic
691C2×C4C11×#12011yescharacteristic
692C2×C4C11×#12011yescharacteristic
693C2×C4C11×#12011yescharacteristic
694C2×C4C22×D4×C1111yescharacteristic
695C2×C4C22×D4×C1111yescharacteristic
696C2×C4C22×D4×C1111yescharacteristic
697C2×C4C2×C11×#4111yescharacteristic
698C2×C4C11×H(5,𝔽2)11yescharacteristic
699C2×C4C11×H(5,𝔽2)11yescharacteristic
700C8—22no—
701C8—41no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—22no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—44no—
710C22—44no—
711C22—42no—
712C22—44no—
713C22—42no—
714C22—84no—
715C22—84no—
716C22—168no—
717C22C2×C11×#12011yescharacteristic
718C22D42×C1111yescharacteristic
719C22C11×#54611yescharacteristic
720C4—22no—
721C4—21no—
722C4—21no—
723C4—21no—
724C4—42no—
725C4—42no—
726C4—41no—
727C4—41no—
728C4—82no—
729C4—81no—
730C4C11×#45512yescomplemented
731C4C2×C11×#12111yescharacteristic
732C4C11×#53511yescharacteristic
733C4D42×C1111yescharacteristic
734C4C11×#54611yescharacteristic
735C2—21no—
736C2—21no—
737C2—42no—
738C2—84no—
739C2—82no—
740C2C11×#240811yescharacteristic
741C2C2×C11×#45511yescharacteristic
742C2C11×#301911yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC11×#3498C2
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×#3037C2semidirect
3. C2×C11×#455C2semidirect
4. C4×C11×#137C2semidirect
5. C11×#2548C2semidirect
6. C11×#2037C2semidirect
7. C11×#2004C2semidirect
8. C11×#1980C2semidirect
9. C11×#1965C2semidirect
10. C11×#1806C2semidirect
11. C11×#1792C2semidirect
14. C2×C11×#137C22semidirect
27. C2×C11×#124C22semidirect
29. C2×C4×Q8×C11C22semidirect
38. C11×#428C22semidirect
39. C11×#423C22semidirect
41. C2×C11×#104C22semidirect
42. C2×C11×#104C22semidirect
43. C11×#419C22semidirect
45. C11×#417C22semidirect
46. C2×C11×#100C22semidirect
47. C2×C11×#100C22semidirect
48. C4×C11×M16C22semidirect
51. C11×#390C22semidirect
52. C4×C11×C4⋊C4C22semidirect
53. C11×#339C22semidirect
74. C11×#137D4semidirect
149. #24232C11direct (N × H)
171. C2×Q8×C11C2×D4semidirect
222. C11×M16C2×D4semidirect
258. #3037C2×C11semidirect
259. C2×#455C2×C11semidirect
260. C4×#137C2×C11semidirect
261. #2548C2×C11semidirect
262. #2037C2×C11semidirect
263. #2004C2×C11semidirect
264. #1980C2×C11semidirect
265. #1965C2×C11semidirect
266. #1806C2×C11semidirect
267. #1792C2×C11semidirect
345. C2×#137C22×C11semidirect
358. C2×#124C22×C11semidirect
360. C2×C4×Q8C22×C11semidirect
369. #428C22×C11semidirect
370. #423C22×C11semidirect
372. C2×#104C22×C11semidirect
373. C2×#104C22×C11semidirect
374. #419C22×C11semidirect
376. #417C22×C11semidirect
377. C2×#100C22×C11semidirect
378. C2×#100C22×C11semidirect
379. C4×M16C22×C11semidirect
382. #390C22×C11semidirect
383. C4×C4⋊C4C22×C11semidirect
384. #339C22×C11semidirect
412. C4×C11#455semidirect
437. #137D4×C11semidirect
541. C2×Q8C2×D4×C11semidirect
592. M16C2×D4×C11semidirect
627. C11#24232direct (N × H)
730. C4C11×#455semidirect

Maximal subgroups

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

subgroupindex
C11×#34982
C11×#30372
C2×C11×#4552
C4×C11×#1372
C11×#25482
C11×#20372
C11×#20042
C11×#19802
C11×#19652
C11×#18062
C11×#17922
#2423211