Finite Group Databasebeta

← C11×#24675 #14601868

Subgroups — C11×#24675 #14601868

Order 2816.

764 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3040C211yesmaximal, characteristic
2C2×C11×#464C211yesmaximal, characteristic, complemented
3C4×C11×#137C211yesmaximal, characteristic, complemented
4C11×#2925C211yesmaximal, characteristic, complemented
5C11×#2052C211yesmaximal, characteristic, complemented
6C11×#2051C211yesmaximal, characteristic
7C11×#2020C211yesmaximal, characteristic, complemented
8C11×#2019C211yesmaximal, characteristic
9C11×#1979C211yesmaximal, characteristic, complemented
10C11×#1977C211yesmaximal, characteristic, complemented
11C11×#1967C211yesmaximal, characteristic, complemented
12C11×#1950C211yesmaximal, characteristic, complemented
13C11×#1931C211yesmaximal, characteristic, complemented
14C11×#1930C211yesmaximal, characteristic, complemented
15C11×#1801C211yesmaximal, characteristic, complemented
16C2×C11×#137C2211yescharacteristic
17C2×C11×#137C2211yescharacteristic
18C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
19C22×C11×Q16C2211yescharacteristic
20C22×C11×SD16C2211yescharacteristic
21C2×C11×#124C2211yescharacteristic
22C4×C11×#41C2211yescharacteristic
23C2×C4×Q8×C11C2211yescharacteristic
24C11×#464—21no—
25C11×#464—21no—
26C11×#464—21no—
27C11×#464—21no—
28C11×#464—21no—
29C11×#464—21no—
30C11×#463—21no—
31C11×#463—21no—
32C11×#441—21no—
33C11×#440—21no—
34C4×C11×Q16—21no—
35C4×C11×SD16—21no—
36C11×#433—21no—
37C11×#433—21no—
38C11×#432—21no—
39C11×#431—21no—
40C2×C11×#108C2211yescharacteristic
41C2×C11×#108C2211yescharacteristic
42C11×#428C2211yescharacteristic
43C11×#423C2211yescharacteristic
44C11×#423C2211yescharacteristic
45C2×C11×C4⋊C8C2211yescharacteristic
46C11×#419C2211yescharacteristic
47C11×#419C2211yescharacteristic
48C11×#418C2211yescharacteristic
49C11×#417C2211yescharacteristic
50C2×C11×#103C2211yescharacteristic
51C2×C11×#102C2211yescharacteristic
52C2×C11×#101C2211yescharacteristic
53C2×C11×#101C2211yescharacteristic
54C2×C11×#101C2211yescharacteristic
55C2×C11×#101C2211yescharacteristic
56C2×C11×#100C2211yescharacteristic
57C2×C11×#100C2211yescharacteristic
58C11×#408C2211yescharacteristic
59C11×#408C2211yescharacteristic
60C11×#405C2211yescharacteristic
61C11×#405C2211yescharacteristic
62C4×C11×M16C2211yescharacteristic
63C11×#343C2211yescharacteristic
64C11×#343C2211yescharacteristic
65C11×#341C2211yescharacteristic
66C11×#341C2211yescharacteristic
67C2×C11×#41C2311yescharacteristic
68C22×Q8×C11C2311yescharacteristic
69C22×Q8×C11C2311yescharacteristic
70C22×D4×C11C2311yescharacteristic
71C11×#137—22no—
72C11×#137—22no—
73C11×#137—41no—
74C11×#137—41no—
75C11×AGL(1,ℤ/8)—41no—
76C11×AGL(1,ℤ/8)—41no—
77C2×C11×Q16—21no—
78C2×C11×Q16—21no—
79C2×C11×Q16—22no—
80C2×C11×Q16—21no—
81C2×C11×Q16—21no—
82C2×C11×Q16—41no—
83C2×C11×SD16—21no—
84C2×C11×SD16—21no—
85C2×C11×SD16—22no—
86C2×C11×SD16—21no—
87C2×C11×SD16—21no—
88C2×C11×SD16—21no—
89C2×C11×SD16—41no—
90C2×C11×D8—21no—
91C2×C11×M16C2311yescharacteristic
92C2×C11×M16C2311yescharacteristic
93C2×C11×M16C2311yescharacteristic
94C2×C11×M16C2311yescharacteristic
95C2×C11×M16C2311yescharacteristic
96C2×C11×M16C2311yescharacteristic
97C22×C8×C11C2311yescharacteristic
98C22×C8×C11C2311yescharacteristic
99C11×#124—21no—
100C11×#124—21no—
101C11×#124—21no—
102C11×#124—21no—
103C4×Q8×C11—21no—
104C4×Q8×C11—21no—
105C4×Q8×C11—21no—
106C4×Q8×C11—21no—
107C4×Q8×C11D411yescharacteristic
108C4×Q8×C11D411yescharacteristic
109C4×D4×C11—21no—
110C4×D4×C11—21no—
111C4×D4×C11D411yescharacteristic
112C4×D4×C11D411yescharacteristic
113C11×#117—21no—
114C11×#117C2311yescharacteristic
115C2×C11×C4⋊C4—21no—
116C2×C11×C4⋊C4C2311yescharacteristic
117C2×C11×C22⋊C4—21no—
118C2×C11×C22⋊C4—21no—
119C2×C42×C11—21no—
120C2×C42×C11—21no—
121C2×C42×C11C2311yescharacteristic
122C11×#108—41no—
123C11×#108—41no—
124C11×#107—21no—
125C11×#106—21no—
126C11×C4⋊C8—21no—
127C11×C4⋊C8—21no—
128C11×C4⋊C8—21no—
129C11×C4⋊C8—21no—
130C11×C4⋊C8D411yescharacteristic
131C11×C4⋊C8D411yescharacteristic
132C11×C4⋊C8D411yescharacteristic
133C11×C4⋊C8D411yescharacteristic
134C11×#103—21no—
135C11×#103—21no—
136C11×#103—21no—
137C11×#103—21no—
138C11×#103—21no—
139C11×#103—21no—
140C11×#103—21no—
141C11×#102—21no—
142C11×#102—21no—
143C11×#102—21no—
144C11×#102—21no—
145C11×#102—21no—
146C11×#101—22no—
147C11×#101—41no—
148C11×#101—41no—
149C11×#101—41no—
150C11×#100—22no—
151C11×#100—41no—
152C11×C22⋊C8—21no—
153C11×C22⋊C8—21no—
154C11×C22⋊C8—21no—
155C11×C22⋊C8—21no—
156C11×#97—21no—
157C11×#97—21no—
158C11×#97—21no—
159C4×C8×C11—21no—
160C4×C8×C11—21no—
161C4×C8×C11—21no—
162#24675C1111yesmaximal, characteristic, direct product factor, Sylow
163C24×C11—21no—
164C11×#41—21no—
165C11×#41—21no—
166C11×#41—21no—
167C11×#41—21no—
168C2×Q8×C11—21no—
169C2×Q8×C11—21no—
170C2×Q8×C11—21no—
171C2×Q8×C11—21no—
172C2×Q8×C11—21no—
173C2×Q8×C11—21no—
174C2×Q8×C11—21no—
175C2×Q8×C11—21no—
176C2×Q8×C11—21no—
177C2×Q8×C11—21no—
178C2×Q8×C11—21no—
179C2×Q8×C11C2×D411yescharacteristic
180C2×Q8×C11#4112yes—
181C2×D4×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—21no—
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—21no—
188C2×D4×C11C2×D411yescharacteristic
189C22×C4×C11—21no—
190C22×C4×C11—21no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11#4111yescharacteristic
196C22×C4×C11#4111yescharacteristic
197C22×C4×C11C2411yescharacteristic
198C11×Q16—24no—
199C11×Q16—42no—
200C11×Q16—42no—
201C11×Q16—42no—
202C11×SD16—24no—
203C11×SD16—42no—
204C11×SD16—42no—
205C11×SD16—42no—
206C11×SD16—42no—
207C11×D8—42no—
208C11×M16—21no—
209C11×M16—21no—
210C11×M16—21no—
211C11×M16—21no—
212C11×M16—21no—
213C11×M16—21no—
214C11×M16—21no—
215C11×M16—21no—
216C11×M16—21no—
217C11×M16—21no—
218C11×M16—21no—
219C11×M16#4112yes—
220C2×C8×C11—21no—
221C2×C8×C11—21no—
222C2×C8×C11—21no—
223C2×C8×C11—21no—
224C2×C8×C11—21no—
225C2×C8×C11—21no—
226C2×C8×C11—21no—
227C2×C8×C11—21no—
228C2×C8×C11—21no—
229C2×C8×C11—21no—
230C2×C8×C11C2×D411yescharacteristic
231C2×C8×C11C2×D411yescharacteristic
232C2×C8×C11C2×D411yescharacteristic
233C2×C8×C11C2×D411yescharacteristic
234C11×C4⋊C4—21no—
235C11×C4⋊C4—21no—
236C11×C4⋊C4—21no—
237C11×C4⋊C4—21no—
238C11×C4⋊C4—41no—
239C11×C4⋊C4—41no—
240C11×C4⋊C4C2×D411yescharacteristic
241C11×C4⋊C4C2×D411yescharacteristic
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—41no—
246C11×C22⋊C4—41no—
247C11×C22⋊C4—41no—
248C11×C22⋊C4—41no—
249C42×C11—21no—
250C42×C11—21no—
251C42×C11—21no—
252C42×C11—41no—
253C42×C11—41no—
254C42×C11C2×D411yescharacteristic
255C42×C11C2×D411yescharacteristic
256C42×C11C2×D411yescharacteristic
257C42×C11C2×D411yescharacteristic
258#3040C2×C1111yescharacteristic
259C2×#464C2×C1111yescharacteristic, complemented
260C4×#137C2×C1111yescharacteristic, complemented
261#2925C2×C1111yescharacteristic, complemented
262#2052C2×C1111yescharacteristic, complemented
263#2051C2×C1111yescharacteristic
264#2020C2×C1111yescharacteristic, complemented
265#2019C2×C1111yescharacteristic
266#1979C2×C1111yescharacteristic, complemented
267#1977C2×C1111yescharacteristic, complemented
268#1967C2×C1111yescharacteristic, complemented
269#1950C2×C1111yescharacteristic, complemented
270#1931C2×C1111yescharacteristic, complemented
271#1930C2×C1111yescharacteristic, complemented
272#1801C2×C1111yescharacteristic, complemented
273C23×C11—21no—
274C23×C11—41no—
275C23×C11—41no—
276C23×C11—41no—
277C23×C11—81no—
278C23×C11—81no—
279C23×C11C2×#4111yescharacteristic
280Q8×C11—22no—
281Q8×C11—21no—
282Q8×C11—21no—
283Q8×C11—22no—
284Q8×C11—41no—
285Q8×C11—41no—
286Q8×C11—41no—
287Q8×C11—41no—
288Q8×C11—41no—
289Q8×C11—41no—
290D4×C11—21no—
291D4×C11—21no—
292D4×C11—41no—
293D4×C11—41no—
294D4×C11—41no—
295D4×C11—41no—
296D4×C11—41no—
297D4×C11—41no—
298C2×C4×C11—21no—
299C2×C4×C11—21no—
300C2×C4×C11—21no—
301C2×C4×C11—22no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—42no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—81no—
314C2×C4×C11—81no—
315C2×C4×C11#12111yescharacteristic
316C2×C4×C11#12111yescharacteristic
317C2×C4×C11#12111yescharacteristic
318C2×C4×C11#12111yescharacteristic
319C2×C4×C11C22×D411yescharacteristic
320C2×C4×C11C22×D411yescharacteristic
321C2×C4×C11C2×#4111yescharacteristic
322C2×C4×C11C2×#4111yescharacteristic
323C2×C4×C11H(5,𝔽2)11yescharacteristic
324C2×C4×C11H(5,𝔽2)11yescharacteristic
325C8×C11—22no—
326C8×C11—21no—
327C8×C11—21no—
328C8×C11—21no—
329C8×C11—21no—
330C8×C11—41no—
331C8×C11—41no—
332C8×C11—41no—
333C8×C11—41no—
334C8×C11—41no—
335C2×#137C22×C1111yescharacteristic
336C2×#137C22×C1111yescharacteristic
337C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
338C22×Q16C22×C1111yescharacteristic
339C22×SD16C22×C1111yescharacteristic
340C2×#124C22×C1111yescharacteristic
341C4×#41C22×C1111yescharacteristic
342C2×C4×Q8C22×C1111yescharacteristic
343#464—21no—
344#464—21no—
345#464—21no—
346#464—21no—
347#464—21no—
348#464—21no—
349#463—21no—
350#463—21no—
351#441—21no—
352#440—21no—
353C4×Q16—21no—
354C4×SD16—21no—
355#433—21no—
356#433—21no—
357#432—21no—
358#431—21no—
359C2×#108C22×C1111yescharacteristic
360C2×#108C22×C1111yescharacteristic
361#428C22×C1111yescharacteristic
362#423C22×C1111yescharacteristic
363#423C22×C1111yescharacteristic
364C2×C4⋊C8C22×C1111yescharacteristic
365#419C22×C1111yescharacteristic
366#419C22×C1111yescharacteristic
367#418C22×C1111yescharacteristic
368#417C22×C1111yescharacteristic
369C2×#103C22×C1111yescharacteristic
370C2×#102C22×C1111yescharacteristic
371C2×#101C22×C1111yescharacteristic
372C2×#101C22×C1111yescharacteristic
373C2×#101C22×C1111yescharacteristic
374C2×#101C22×C1111yescharacteristic
375C2×#100C22×C1111yescharacteristic
376C2×#100C22×C1111yescharacteristic
377#408C22×C1111yescharacteristic
378#408C22×C1111yescharacteristic
379#405C22×C1111yescharacteristic
380#405C22×C1111yescharacteristic
381C4×M16C22×C1111yescharacteristic
382#343C22×C1111yescharacteristic
383#343C22×C1111yescharacteristic
384#341C22×C1111yescharacteristic
385#341C22×C1111yescharacteristic
386C22×C11—21no—
387C22×C11—21no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11—81no—
394C22×C11—161no—
395C22×C11—161no—
396C22×C11C2×#12111yescharacteristic
397C22×C11#55311yescharacteristic
398C22×C11#55511yescharacteristic
399C4×C11—21no—
400C4×C11—21no—
401C4×C11—21no—
402C4×C11—21no—
403C4×C11—41no—
404C4×C11—42no—
405C4×C11—41no—
406C4×C11—41no—
407C4×C11—81no—
408C4×C11—81no—
409C4×C11#52511yescharacteristic
410C4×C11#53511yescharacteristic
411C4×C11#54611yescharacteristic
412C4×C11#55011yescharacteristic
413C2×#41C23×C1111yescharacteristic
414C22×Q8C23×C1111yescharacteristic
415C22×Q8C23×C1111yescharacteristic
416C22×D4C23×C1111yescharacteristic
417#137—22no—
418#137—22no—
419#137—41no—
420#137—41no—
421AGL(1,ℤ/8)—41no—
422AGL(1,ℤ/8)—41no—
423C2×Q16—21no—
424C2×Q16—21no—
425C2×Q16—22no—
426C2×Q16—21no—
427C2×Q16—21no—
428C2×Q16—41no—
429C2×SD16—21no—
430C2×SD16—21no—
431C2×SD16—22no—
432C2×SD16—21no—
433C2×SD16—21no—
434C2×SD16—21no—
435C2×SD16—41no—
436C2×D8—21no—
437C2×M16C23×C1111yescharacteristic
438C2×M16C23×C1111yescharacteristic
439C2×M16C23×C1111yescharacteristic
440C2×M16C23×C1111yescharacteristic
441C2×M16C23×C1111yescharacteristic
442C2×M16C23×C1111yescharacteristic
443C22×C8C23×C1111yescharacteristic
444C22×C8C23×C1111yescharacteristic
445#124—21no—
446#124—21no—
447#124—21no—
448#124—21no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8—21no—
453C4×Q8D4×C1111yescharacteristic
454C4×Q8D4×C1111yescharacteristic
455C4×D4—21no—
456C4×D4—21no—
457C4×D4D4×C1111yescharacteristic
458C4×D4D4×C1111yescharacteristic
459#117—21no—
460#117C23×C1111yescharacteristic
461C2×C4⋊C4—21no—
462C2×C4⋊C4C23×C1111yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C42—21no—
466C2×C42—21no—
467C2×C42C23×C1111yescharacteristic
468#108—41no—
469#108—41no—
470#107—21no—
471#106—21no—
472C4⋊C8—21no—
473C4⋊C8—21no—
474C4⋊C8—21no—
475C4⋊C8—21no—
476C4⋊C8D4×C1111yescharacteristic
477C4⋊C8D4×C1111yescharacteristic
478C4⋊C8D4×C1111yescharacteristic
479C4⋊C8D4×C1111yescharacteristic
480#103—21no—
481#103—21no—
482#103—21no—
483#103—21no—
484#103—21no—
485#103—21no—
486#103—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—21no—
491#102—21no—
492#101—22no—
493#101—41no—
494#101—41no—
495#101—41no—
496#100—22no—
497#100—41no—
498C22⋊C8—21no—
499C22⋊C8—21no—
500C22⋊C8—21no—
501C22⋊C8—21no—
502#97—21no—
503#97—21no—
504#97—21no—
505C4×C8—21no—
506C4×C8—21no—
507C4×C8—21no—
508C2×C11—21no—
509C2×C11—21no—
510C2×C11—81no—
511C2×C11—161no—
512C2×C11#241411yescharacteristic
513C2×C11#306711yescharacteristic
514C2×C11#306911yescharacteristic
515C24—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8C2×D4×C1111yescharacteristic
532C2×Q8C11×#4112yes—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4C2×D4×C1111yescharacteristic
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4C11×#4111yescharacteristic
548C22×C4C11×#4111yescharacteristic
549C22×C4C24×C1111yescharacteristic
550Q16—24no—
551Q16—42no—
552Q16—42no—
553Q16—42no—
554SD16—24no—
555SD16—42no—
556SD16—42no—
557SD16—42no—
558SD16—42no—
559D8—42no—
560M16—21no—
561M16—21no—
562M16—21no—
563M16—21no—
564M16—21no—
565M16—21no—
566M16—21no—
567M16—21no—
568M16—21no—
569M16—21no—
570M16—21no—
571M16C11×#4112yes—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8C2×D4×C1111yescharacteristic
583C2×C8C2×D4×C1111yescharacteristic
584C2×C8C2×D4×C1111yescharacteristic
585C2×C8C2×D4×C1111yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4C2×D4×C1111yescharacteristic
593C4⋊C4C2×D4×C1111yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—41no—
600C22⋊C4—41no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—41no—
605C42—41no—
606C42C2×D4×C1111yescharacteristic
607C42C2×D4×C1111yescharacteristic
608C42C2×D4×C1111yescharacteristic
609C42C2×D4×C1111yescharacteristic
610C11#2467511yescharacteristic, direct product factor, Sylow
611C23—21no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—81no—
616C23—81no—
617C23C2×C11×#4111yescharacteristic
618Q8—22no—
619Q8—21no—
620Q8—21no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628D4—21no—
629D4—21no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634D4—41no—
635D4—41no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—81no—
652C2×C4—81no—
653C2×C4C11×#12111yescharacteristic
654C2×C4C11×#12111yescharacteristic
655C2×C4C11×#12111yescharacteristic
656C2×C4C11×#12111yescharacteristic
657C2×C4C22×D4×C1111yescharacteristic
658C2×C4C22×D4×C1111yescharacteristic
659C2×C4C2×C11×#4111yescharacteristic
660C2×C4C2×C11×#4111yescharacteristic
661C2×C4C11×H(5,𝔽2)11yescharacteristic
662C2×C4C11×H(5,𝔽2)11yescharacteristic
663C8—22no—
664C8—21no—
665C8—21no—
666C8—21no—
667C8—21no—
668C8—41no—
669C8—41no—
670C8—41no—
671C8—41no—
672C8—41no—
673C22—21no—
674C22—21no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—161no—
682C22—161no—
683C22C2×C11×#12111yescharacteristic
684C22C11×#55311yescharacteristic
685C22C11×#55511yescharacteristic
686C4—21no—
687C4—21no—
688C4—21no—
689C4—21no—
690C4—41no—
691C4—42no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4—81no—
696C4C11×#52511yescharacteristic
697C4C11×#53511yescharacteristic
698C4C11×#54611yescharacteristic
699C4C11×#55011yescharacteristic
700C2—21no—
701C2—21no—
702C2—81no—
703C2—161no—
704C2C11×#241411yescharacteristic
705C2C11×#306711yescharacteristic
706C2C11×#306911yescharacteristic
subgroupG/H
center, socleC22×C11C2×#121
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×AGL(1,ℤ/8)C22
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. C2×C11×#464C2semidirect
3. C4×C11×#137C2semidirect
4. C11×#2925C2semidirect
5. C11×#2052C2semidirect
7. C11×#2020C2semidirect
9. C11×#1979C2semidirect
10. C11×#1977C2semidirect
11. C11×#1967C2semidirect
12. C11×#1950C2semidirect
13. C11×#1931C2semidirect
14. C11×#1930C2semidirect
15. C11×#1801C2semidirect
162. #24675C11direct (N × H)
259. C2×#464C2×C11semidirect
260. C4×#137C2×C11semidirect
261. #2925C2×C11semidirect
262. #2052C2×C11semidirect
264. #2020C2×C11semidirect
266. #1979C2×C11semidirect
267. #1977C2×C11semidirect
268. #1967C2×C11semidirect
269. #1950C2×C11semidirect
270. #1931C2×C11semidirect
271. #1930C2×C11semidirect
272. #1801C2×C11semidirect
610. C11#24675direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#30402
C2×C11×#4642
C4×C11×#1372
C11×#29252
C11×#20522
C11×#20512
C11×#20202
C11×#20192
C11×#19792
C11×#19772
C11×#19672
C11×#19502
C11×#19312
C11×#19302
C11×#18012
#2467511