Finite Group Databasebeta

← C11×#60601 #14637794

Subgroups — C11×#60601 #14637794

Order 2816.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1204 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3512C211yesmaximal, characteristic, complemented
2C4×C11×H(5,𝔽2)C211yesmaximal, characteristic, complemented
3C11×#3123C212yesmaximal, complemented
4C11×#3122C212yesmaximal, complemented
5C11×#3120C212yesmaximal, complemented
6C11×#3119C212yesmaximal, complemented
7C11×#3114C212yesmaximal, complemented
8C11×#3111C212yesmaximal, complemented
9C11×#3105C212yesmaximal, complemented
10C11×#3102C212yesmaximal, complemented
11C11×#3099C211yesmaximal, characteristic, complemented
12C11×#3098C211yesmaximal, characteristic, complemented
13C11×#3080C211yesmaximal, characteristic, complemented
14C2×C11×#478C211yesmaximal, characteristic, complemented
15C11×#3036C211yesmaximal, characteristic, complemented
16C11×#3035C211yesmaximal, characteristic, complemented
17C11×#3012C211yesmaximal, characteristic, complemented
18C11×#3012C211yesmaximal, characteristic, complemented
19C11×#2952C211yesmaximal, characteristic, complemented
20C11×#2951C211yesmaximal, characteristic, complemented
21C11×#2946C211yesmaximal, characteristic, complemented
22C11×#2946C211yesmaximal, characteristic, complemented
23C11×#2925C211yesmaximal, characteristic, complemented
24C2×C11×H(5,𝔽2)C2211yescharacteristic
25C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
26C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
27C2×C11×#135C2211yescharacteristic
28C2×C11×#135C2211yescharacteristic
29C11×#553—22no—
30C11×#553—22no—
31C11×#553—21no—
32C11×#553—21no—
33C11×#552—21no—
34C11×#552—21no—
35C11×#541C2212yescomplemented
36C11×#540C2212yescomplemented
37C11×#537C2211yescharacteristic
38C11×#537C2211yescharacteristic
39C11×#532C2211yescharacteristic, complemented
40C11×#529C2212yescomplemented
41C11×#529C2212yescomplemented
42C2×C11×#125C2211yescharacteristic, complemented
43C11×#520—21no—
44C11×#520C2211yescharacteristic
45C11×#520C2212yes—
46C11×#520C2211yescharacteristic
47C11×#520C2211yescharacteristic, complemented
48C11×#520C2211yescharacteristic, complemented
49C11×#518—22no—
50C11×#518—21no—
51C11×#518C2211yescharacteristic
52C11×#518C2212yes—
53C4×C11×#41—21no—
54C4×C11×#41C2211yescharacteristic
55C4×C11×#41C2212yes—
56C4×C11×#41C2211yescharacteristic
57C2×C4×D4×C11—22no—
58C2×C4×D4×C11—21no—
59C2×C4×D4×C11C2211yescharacteristic
60C2×C4×D4×C11C2212yes—
61C11×#485C2212yescomplemented
62C11×#485C2212yescomplemented
63C11×#484C2212yescomplemented
64C11×#483C2212yescomplemented
65C11×#482C2212yescomplemented
66C11×#482C2212yescomplemented
67C11×#481C2212yescomplemented
68C11×#480C2212yescomplemented
69C11×#479C2212yescomplemented
70C11×#479C2212yescomplemented
71C11×#478C2212yescomplemented
72C11×#478C2212yescomplemented
73C11×#478C2212yescomplemented
74C11×#478C2212yescomplemented
75C11×#478C2212yescomplemented
76C11×#478C2212yescomplemented
77C11×#464C2211yescharacteristic, complemented
78C11×#464C2211yescharacteristic, complemented
79C11×#463C2211yescharacteristic, complemented
80C11×#463C2211yescharacteristic, complemented
81C11×#463C2212yescomplemented
82C11×#463C2212yescomplemented
83C11×#462C2211yescharacteristic, complemented
84C11×#461C2211yescharacteristic, complemented
85C11×#461C2212yescomplemented
86C11×#460C2211yescharacteristic, complemented
87C11×#459C2211yescharacteristic, complemented
88C11×#459C2212yescomplemented
89C11×#452C2212yes—
90C11×#452C2212yes—
91C11×#450C2212yes—
92C11×#450C2212yes—
93C11×#449C2212yes—
94C11×#449C2212yes—
95C11×#447C2212yes—
96C11×#447C2212yes—
97C11×#442C2212yescomplemented
98C11×#442C2212yescomplemented
99C11×#442C2212yescomplemented
100C11×#441C2212yescomplemented
101C11×#440C2212yescomplemented
102C11×#440C2212yescomplemented
103C11×#440C2212yescomplemented
104C11×#440C2212yescomplemented
105C4×C11×Q16C2212yescomplemented
106C4×C11×SD16C2212yescomplemented
107C4×C11×SD16C2212yescomplemented
108C4×C11×SD16C2212yescomplemented
109C4×C11×SD16C2212yescomplemented
110C4×C11×D8C2212yescomplemented
111C4×C11×D8C2212yescomplemented
112C4×C11×D8C2212yescomplemented
113C11×#433C2212yescomplemented
114C11×#433C2212yescomplemented
115C11×#432C2212yescomplemented
116C11×#431C2212yescomplemented
117C11×#428C2211yescharacteristic, complemented
118C11×#428C2211yescharacteristic, complemented
119C2×C11×#107C2211yescharacteristic, complemented
120C2×C11×#106C2211yescharacteristic, complemented
121C11×#423C2211yescharacteristic, complemented
122C2×C11×C4⋊C8C2211yescharacteristic, complemented
123C11×#417C2211yescharacteristic
124C11×#417C2211yescharacteristic
125C11×#417C2211yescharacteristic, complemented
126C11×#417C2211yescharacteristic, complemented
127C11×#416C2211yescharacteristic, complemented
128C11×#416C2211yescharacteristic, complemented
129C2×C11×#102C2211yescharacteristic
130C2×C11×#102C2211yescharacteristic
131C11×#408C2211yescharacteristic
132C11×#408C2211yescharacteristic
133C11×#405C2211yescharacteristic, complemented
134C11×#405C2211yescharacteristic, complemented
135C11×H(5,𝔽2)—24no—
136C11×H(5,𝔽2)—24no—
137C2×C11×#41—21no—
138C2×C11×#41C2312yes—
139C2×C11×#41C2311yescharacteristic
140C2×C11×#41C2311yescharacteristic
141C2×C11×#41C2311yescharacteristic
142C2×C11×#41C2311yescharacteristic
143C22×D4×C11—22no—
144C22×D4×C11—21no—
145C22×D4×C11C2312yes—
146C22×D4×C11C2311yescharacteristic
147C23×C4×C11—21no—
148C23×C4×C11—22no—
149C11×AGL(1,ℤ/8)—24no—
150C11×AGL(1,ℤ/8)—24no—
151C11×#135—24no—
152C11×#135—24no—
153C2×C11×Q16C2311yescharacteristic
154C2×C11×Q16C2311yescharacteristic
155C2×C11×SD16C2311yescharacteristic
156C2×C11×SD16C2311yescharacteristic
157C2×C11×SD16C2311yescharacteristic
158C2×C11×SD16C2311yescharacteristic
159C2×C11×SD16C2312yes—
160C2×C11×SD16C2312yes—
161C2×C11×D8C2311yescharacteristic
162C2×C11×D8C2311yescharacteristic
163C2×C11×D8C2312yes—
164C2×C11×D8C2312yes—
165C2×C11×M16C2311yescharacteristic
166C2×C11×M16C2311yescharacteristic
167C22×C8×C11C2311yescharacteristic
168C22×C8×C11C2311yescharacteristic
169C11×C4⋊Q8C2311yescharacteristic
170C11×#127C2311yescharacteristic
171C11×#126—22no—
172C11×#126—22no—
173C11×#126—22no—
174C11×#126—22no—
175C11×#125—22no—
176C11×#125—22no—
177C11×#125—21no—
178C11×#125—21no—
179C11×#125C2312yes—
180C11×#125C2312yes—
181C11×#124C2311yescharacteristic
182C11×#124C2311yescharacteristic
183C11×#123—22no—
184C11×#123—22no—
185C11×#123—22no—
186C11×#123—22no—
187C11×C22⋊Q8—21no—
188C11×C22⋊Q8—21no—
189C11×C22⋊Q8C2312yes—
190C11×C22⋊Q8C2312yes—
191C11×#121—21no—
192C11×#121—21no—
193C11×#121—22no—
194C11×#121—22no—
195C11×#121—21no—
196C11×#121—21no—
197C11×#121—22no—
198C11×#121—22no—
199C11×#121C2312yes—
200C11×#121C2312yes—
201C4×Q8×C11—21no—
202C4×Q8×C11D411yescharacteristic
203C4×Q8×C11D411yescharacteristic
204C4×Q8×C11C2311yescharacteristic
205C4×Q8×C11C2312yes—
206C4×Q8×C11C2311yescharacteristic
207C4×Q8×C11C2312yes—
208C4×Q8×C11C2312yes—
209C4×D4×C11—22no—
210C4×D4×C11—21no—
211C4×D4×C11—21no—
212C4×D4×C11—22no—
213C4×D4×C11—21no—
214C4×D4×C11—22no—
215C4×D4×C11—22no—
216C4×D4×C11—22no—
217C4×D4×C11—21no—
218C4×D4×C11—22no—
219C4×D4×C11—21no—
220C4×D4×C11—22no—
221C4×D4×C11—22no—
222C4×D4×C11—22no—
223C4×D4×C11—22no—
224C4×D4×C11—22no—
225C4×D4×C11—22no—
226C4×D4×C11—22no—
227C4×D4×C11—21no—
228C4×D4×C11—22no—
229C4×D4×C11—21no—
230C4×D4×C11—21no—
231C4×D4×C11—21no—
232C4×D4×C11D412yes—
233C4×D4×C11D411yescharacteristic
234C4×D4×C11D412yes—
235C4×D4×C11D411yescharacteristic
236C4×D4×C11C2312yes—
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2312yes—
239C4×D4×C11C2312yes—
240C4×D4×C11C2312yes—
241C4×D4×C11C2312yes—
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2312yes—
244C4×D4×C11C2312yes—
245C11×#117—21no—
246C11×#117—22no—
247C11×#117—21no—
248C11×#117—21no—
249C11×#117—22no—
250C11×#117—21no—
251C11×#117—22no—
252C11×#117—22no—
253C11×#117C2311yescharacteristic
254C11×#117C2312yes—
255C11×#117C2311yescharacteristic
256C11×#117C2312yes—
257C2×C11×C4⋊C4—21no—
258C2×C11×C4⋊C4—21no—
259C2×C11×C4⋊C4—21no—
260C2×C11×C4⋊C4—22no—
261C2×C11×C4⋊C4—21no—
262C2×C11×C4⋊C4—21no—
263C2×C11×C4⋊C4C2311yescharacteristic
264C2×C11×C4⋊C4C2312yes—
265C2×C11×C4⋊C4C2311yescharacteristic
266C2×C11×C4⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4—21no—
268C2×C11×C22⋊C4—22no—
269C2×C11×C22⋊C4—22no—
270C2×C11×C22⋊C4—22no—
271C2×C11×C22⋊C4—22no—
272C2×C42×C11—22no—
273C2×C42×C11—21no—
274C2×C42×C11C2311yescharacteristic
275C2×C42×C11C2312yes—
276C11×#107C2312yes—
277C11×#107C2312yes—
278C11×#107C2312yes—
279C11×#107C2312yes—
280C11×#106C2312yes—
281C11×#106C2312yes—
282C11×#106C2312yes—
283C11×#106C2312yes—
284C11×C4⋊C8C2311yescharacteristic
285C11×C4⋊C8C2311yescharacteristic
286C11×C4⋊C8C2311yescharacteristic
287C11×C4⋊C8C2311yescharacteristic
288C11×C4⋊C8C2312yes—
289C11×C4⋊C8C2312yes—
290C11×#103C2311yescharacteristic
291C11×#103C2311yescharacteristic
292C11×#103C2311yescharacteristic
293C11×#103C2311yescharacteristic
294C11×#103C2312yes—
295C11×#103C2312yes—
296C11×#103C2312yes—
297C11×#103C2312yes—
298C11×#102C2312yes—
299C11×#102C2312yes—
300C11×#102C2312yes—
301C11×#102C2312yes—
302C11×#102C2311yescharacteristic
303C11×#102C2311yescharacteristic
304C11×#102C2311yescharacteristic
305C11×#102C2311yescharacteristic
306C11×#102C2312yes—
307C11×#102C2312yes—
308C11×#102C2312yes—
309C11×#102C2312yes—
310C11×C22⋊C8C2312yes—
311C11×C22⋊C8C2312yes—
312C11×C22⋊C8C2312yes—
313C11×C22⋊C8C2312yes—
314C11×#97C2312yes—
315C11×#97C2312yes—
316C4×C8×C11C2312yes—
317C4×C8×C11C2312yes—
318#60601C1111yesmaximal, characteristic, direct product factor, Sylow
319C24×C11—22no—
320C24×C11—21no—
321C11×#41—28no—
322C11×#41—24no—
323C11×#41—24no—
324C11×#41—22no—
325C11×#41—22no—
326C11×#41—22no—
327C11×#41—22no—
328C11×#41—22no—
329C11×#41—22no—
330C11×#41—22no—
331C11×#41#4114yes—
332C2×Q8×C11C2×D411yescharacteristic
333C2×Q8×C11C2411yescharacteristic
334C2×Q8×C11C2411yescharacteristic
335C2×Q8×C11C2411yescharacteristic
336C2×D4×C11—216no—
337C2×D4×C11—28no—
338C2×D4×C11—22no—
339C2×D4×C11—21no—
340C2×D4×C11—24no—
341C2×D4×C11—24no—
342C2×D4×C11—21no—
343C2×D4×C11—21no—
344C2×D4×C11—22no—
345C2×D4×C11—22no—
346C2×D4×C11—22no—
347C2×D4×C11—21no—
348C2×D4×C11—21no—
349C2×D4×C11—21no—
350C2×D4×C11—22no—
351C2×D4×C11C2×D412yes—
352C2×D4×C11C2×D411yescharacteristic
353C2×D4×C11#4114yes—
354C2×D4×C11C2411yescharacteristic
355C2×D4×C11C2411yescharacteristic
356C2×D4×C11C2411yescharacteristic
357C2×D4×C11C2412yes—
358C22×C4×C11—22no—
359C22×C4×C11—21no—
360C22×C4×C11—22no—
361C22×C4×C11—21no—
362C22×C4×C11—21no—
363C22×C4×C11—21no—
364C22×C4×C11—22no—
365C22×C4×C11—21no—
366C22×C4×C11—21no—
367C22×C4×C11—21no—
368C22×C4×C11—22no—
369C22×C4×C11—21no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—84no—
376C22×C4×C11—82no—
377C22×C4×C11C2×D411yescharacteristic
378C22×C4×C11C2×D412yes—
379C22×C4×C11C2×D411yescharacteristic
380C22×C4×C11C2×D412yes—
381C22×C4×C11C2412yes—
382C22×C4×C11C2411yescharacteristic
383C11×Q16—22no—
384C11×Q16—22no—
385C11×SD16—22no—
386C11×SD16—22no—
387C11×SD16—22no—
388C11×SD16—22no—
389C11×SD16—24no—
390C11×SD16—24no—
391C11×D8—22no—
392C11×D8—22no—
393C11×D8—24no—
394C11×D8—24no—
395C11×M16—22no—
396C11×M16—22no—
397C2×C8×C11—22no—
398C2×C8×C11—22no—
399C2×C8×C11C2411yescharacteristic
400C2×C8×C11C2411yescharacteristic
401C2×C8×C11C2412yes—
402C2×C8×C11C2412yes—
403C2×C8×C11C2411yescharacteristic
404C2×C8×C11C2411yescharacteristic
405C11×C4⋊C4—22no—
406C11×C4⋊C4—21no—
407C11×C4⋊C4—22no—
408C11×C4⋊C4—21no—
409C11×C4⋊C4—21no—
410C11×C4⋊C4—21no—
411C11×C4⋊C4—22no—
412C11×C4⋊C4—22no—
413C11×C4⋊C4—22no—
414C11×C4⋊C4—22no—
415C11×C4⋊C4—22no—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—21no—
418C11×C4⋊C4—22no—
419C11×C4⋊C4—22no—
420C11×C4⋊C4—21no—
421C11×C4⋊C4—21no—
422C11×C4⋊C4C2×D411yescharacteristic
423C11×C4⋊C4C2×D411yescharacteristic
424C11×C4⋊C4C2×D412yes—
425C11×C4⋊C4C2×D412yes—
426C11×C4⋊C4C2412yes—
427C11×C4⋊C4C2412yes—
428C11×C4⋊C4C2411yescharacteristic
429C11×C4⋊C4C2412yes—
430C11×C4⋊C4C2411yescharacteristic
431C11×C22⋊C4—22no—
432C11×C22⋊C4—21no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—21no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—21no—
442C11×C22⋊C4—21no—
443C11×C22⋊C4—21no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—21no—
449C11×C22⋊C4—21no—
450C11×C22⋊C4C2×D412yes—
451C11×C22⋊C4C2×D412yes—
452C11×C22⋊C4C2×D412yes—
453C42×C11—21no—
454C42×C11—22no—
455C42×C11—21no—
456C42×C11—22no—
457C42×C11—21no—
458C42×C11—22no—
459C42×C11—22no—
460C42×C11C2×D412yes—
461C42×C11C2×D411yescharacteristic
462C42×C11C2×D412yes—
463C42×C11C2×D411yescharacteristic
464C42×C11C2412yes—
465C42×C11C2411yescharacteristic
466C42×C11C2411yescharacteristic
467#3512C2×C1111yescharacteristic, complemented
468C4×H(5,𝔽2)C2×C1111yescharacteristic, complemented
469#3123C2×C1112yescomplemented
470#3122C2×C1112yescomplemented
471#3120C2×C1112yescomplemented
472#3119C2×C1112yescomplemented
473#3114C2×C1112yescomplemented
474#3111C2×C1112yescomplemented
475#3105C2×C1112yescomplemented
476#3102C2×C1112yescomplemented
477#3099C2×C1111yescharacteristic, complemented
478#3098C2×C1111yescharacteristic, complemented
479#3080C2×C1111yescharacteristic, complemented
480C2×#478C2×C1111yescharacteristic, complemented
481#3036C2×C1111yescharacteristic, complemented
482#3035C2×C1111yescharacteristic, complemented
483#3012C2×C1111yescharacteristic, complemented
484#3012C2×C1111yescharacteristic, complemented
485#2952C2×C1111yescharacteristic, complemented
486#2951C2×C1111yescharacteristic, complemented
487#2946C2×C1111yescharacteristic, complemented
488#2946C2×C1111yescharacteristic, complemented
489#2925C2×C1111yescharacteristic, complemented
490C23×C11—28no—
491C23×C11—22no—
492C23×C11—21no—
493C23×C11—24no—
494C23×C11—21no—
495C23×C11—21no—
496C23×C11—81no—
497C23×C11—82no—
498C23×C11—81no—
499C23×C11—82no—
500C23×C11C22×D412yes—
501C23×C11C22×D411yescharacteristic
502Q8×C11—22no—
503Q8×C11—21no—
504Q8×C11—21no—
505Q8×C11—21no—
506Q8×C11—21no—
507Q8×C11—21no—
508Q8×C11C2×#4112yes—
509D4×C11—28no—
510D4×C11—28no—
511D4×C11—24no—
512D4×C11—24no—
513D4×C11—22no—
514D4×C11—24no—
515D4×C11—22no—
516D4×C11—21no—
517D4×C11—21no—
518D4×C11—21no—
519D4×C11—21no—
520D4×C11—21no—
521D4×C11—42no—
522D4×C11—42no—
523D4×C11—81no—
524D4×C11—81no—
525D4×C11—82no—
526D4×C11—82no—
527D4×C11C2×#4112yes—
528D4×C11C2×#4114yes—
529C2×C4×C11—28no—
530C2×C4×C11—21no—
531C2×C4×C11—24no—
532C2×C4×C11—22no—
533C2×C4×C11—22no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—22no—
538C2×C4×C11—21no—
539C2×C4×C11—22no—
540C2×C4×C11—22no—
541C2×C4×C11—42no—
542C2×C4×C11—41no—
543C2×C4×C11—42no—
544C2×C4×C11—41no—
545C2×C4×C11—42no—
546C2×C4×C11—44no—
547C2×C4×C11—42no—
548C2×C4×C11—42no—
549C2×C4×C11—82no—
550C2×C4×C11—82no—
551C2×C4×C11—81no—
552C2×C4×C11—82no—
553C2×C4×C11—82no—
554C2×C4×C11—82no—
555C2×C4×C11—82no—
556C2×C4×C11—81no—
557C2×C4×C11—81no—
558C2×C4×C11—81no—
559C2×C4×C11—82no—
560C2×C4×C11C22×D412yes—
561C2×C4×C11C22×D411yescharacteristic
562C2×C4×C11C22×D412yes—
563C2×C4×C11C22×D411yescharacteristic
564C2×C4×C11C22×D412yes—
565C2×C4×C11C22×D411yescharacteristic
566C2×C4×C11C22×D411yescharacteristic
567C2×C4×C11C22×D411yescharacteristic
568C2×C4×C11C2×#4112yes—
569C2×C4×C11C2×#4112yes—
570C2×C4×C11C2511yescharacteristic
571C8×C11—21no—
572C8×C11—21no—
573C8×C11—21no—
574C8×C11—21no—
575C8×C11—22no—
576C8×C11—22no—
577C2×H(5,𝔽2)C22×C1111yescharacteristic
578C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
579C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
580C2×#135C22×C1111yescharacteristic
581C2×#135C22×C1111yescharacteristic
582#553—22no—
583#553—22no—
584#553—21no—
585#553—21no—
586#552—21no—
587#552—21no—
588#541C22×C1112yescomplemented
589#540C22×C1112yescomplemented
590#537C22×C1111yescharacteristic
591#537C22×C1111yescharacteristic
592#532C22×C1111yescharacteristic, complemented
593#529C22×C1112yescomplemented
594#529C22×C1112yescomplemented
595C2×#125C22×C1111yescharacteristic, complemented
596#520—21no—
597#520C22×C1112yes—
598#520C22×C1111yescharacteristic
599#520C22×C1111yescharacteristic
600#520C22×C1111yescharacteristic, complemented
601#520C22×C1111yescharacteristic, complemented
602#518—22no—
603#518—21no—
604#518C22×C1112yes—
605#518C22×C1111yescharacteristic
606C4×#41—21no—
607C4×#41C22×C1111yescharacteristic
608C4×#41C22×C1112yes—
609C4×#41C22×C1111yescharacteristic
610C2×C4×D4—22no—
611C2×C4×D4—21no—
612C2×C4×D4C22×C1111yescharacteristic
613C2×C4×D4C22×C1112yes—
614#485C22×C1112yescomplemented
615#485C22×C1112yescomplemented
616#484C22×C1112yescomplemented
617#483C22×C1112yescomplemented
618#482C22×C1112yescomplemented
619#482C22×C1112yescomplemented
620#481C22×C1112yescomplemented
621#480C22×C1112yescomplemented
622#479C22×C1112yescomplemented
623#479C22×C1112yescomplemented
624#478C22×C1112yescomplemented
625#478C22×C1112yescomplemented
626#478C22×C1112yescomplemented
627#478C22×C1112yescomplemented
628#478C22×C1112yescomplemented
629#478C22×C1112yescomplemented
630#464C22×C1111yescharacteristic, complemented
631#464C22×C1111yescharacteristic, complemented
632#463C22×C1112yescomplemented
633#463C22×C1111yescharacteristic, complemented
634#463C22×C1112yescomplemented
635#463C22×C1111yescharacteristic, complemented
636#462C22×C1111yescharacteristic, complemented
637#461C22×C1112yescomplemented
638#461C22×C1111yescharacteristic, complemented
639#460C22×C1111yescharacteristic, complemented
640#459C22×C1112yescomplemented
641#459C22×C1111yescharacteristic, complemented
642#452C22×C1112yes—
643#452C22×C1112yes—
644#450C22×C1112yes—
645#450C22×C1112yes—
646#449C22×C1112yes—
647#449C22×C1112yes—
648#447C22×C1112yes—
649#447C22×C1112yes—
650#442C22×C1112yescomplemented
651#442C22×C1112yescomplemented
652#442C22×C1112yescomplemented
653#441C22×C1112yescomplemented
654#440C22×C1112yescomplemented
655#440C22×C1112yescomplemented
656#440C22×C1112yescomplemented
657#440C22×C1112yescomplemented
658C4×Q16C22×C1112yescomplemented
659C4×SD16C22×C1112yescomplemented
660C4×SD16C22×C1112yescomplemented
661C4×SD16C22×C1112yescomplemented
662C4×SD16C22×C1112yescomplemented
663C4×D8C22×C1112yescomplemented
664C4×D8C22×C1112yescomplemented
665C4×D8C22×C1112yescomplemented
666#433C22×C1112yescomplemented
667#433C22×C1112yescomplemented
668#432C22×C1112yescomplemented
669#431C22×C1112yescomplemented
670#428C22×C1111yescharacteristic, complemented
671#428C22×C1111yescharacteristic, complemented
672C2×#107C22×C1111yescharacteristic, complemented
673C2×#106C22×C1111yescharacteristic, complemented
674#423C22×C1111yescharacteristic, complemented
675C2×C4⋊C8C22×C1111yescharacteristic, complemented
676#417C22×C1111yescharacteristic
677#417C22×C1111yescharacteristic
678#417C22×C1111yescharacteristic, complemented
679#417C22×C1111yescharacteristic, complemented
680#416C22×C1111yescharacteristic, complemented
681#416C22×C1111yescharacteristic, complemented
682C2×#102C22×C1111yescharacteristic
683C2×#102C22×C1111yescharacteristic
684#408C22×C1111yescharacteristic
685#408C22×C1111yescharacteristic
686#405C22×C1111yescharacteristic, complemented
687#405C22×C1111yescharacteristic, complemented
688C22×C11—21no—
689C22×C11—21no—
690C22×C11—22no—
691C22×C11—22no—
692C22×C11—22no—
693C22×C11—24no—
694C22×C11—22no—
695C22×C11—42no—
696C22×C11—41no—
697C22×C11—42no—
698C22×C11—41no—
699C22×C11—41no—
700C22×C11—41no—
701C22×C11—41no—
702C22×C11—41no—
703C22×C11—41no—
704C22×C11—41no—
705C22×C11—84no—
706C22×C11—88no—
707C22×C11#52512yes—
708C22×C11C23×D411yescharacteristic
709C4×C11—21no—
710C4×C11—22no—
711C4×C11—21no—
712C4×C11—21no—
713C4×C11—22no—
714C4×C11—21no—
715C4×C11—22no—
716C4×C11—22no—
717C4×C11—41no—
718C4×C11—42no—
719C4×C11—41no—
720C4×C11—42no—
721C4×C11—42no—
722C4×C11—41no—
723C4×C11—41no—
724C4×C11#52512yes—
725C4×C11C22×#4111yescharacteristic
726C4×C11C22×#4111yescharacteristic
727H(5,𝔽2)—24no—
728H(5,𝔽2)—24no—
729C2×#41—21no—
730C2×#41C23×C1112yes—
731C2×#41C23×C1111yescharacteristic
732C2×#41C23×C1111yescharacteristic
733C2×#41C23×C1111yescharacteristic
734C2×#41C23×C1111yescharacteristic
735C22×D4—22no—
736C22×D4—21no—
737C22×D4C23×C1112yes—
738C22×D4C23×C1111yescharacteristic
739C23×C4—21no—
740C23×C4—22no—
741AGL(1,ℤ/8)—24no—
742AGL(1,ℤ/8)—24no—
743#135—24no—
744#135—24no—
745C2×Q16C23×C1111yescharacteristic
746C2×Q16C23×C1111yescharacteristic
747C2×SD16C23×C1111yescharacteristic
748C2×SD16C23×C1111yescharacteristic
749C2×SD16C23×C1111yescharacteristic
750C2×SD16C23×C1111yescharacteristic
751C2×SD16C23×C1112yes—
752C2×SD16C23×C1112yes—
753C2×D8C23×C1111yescharacteristic
754C2×D8C23×C1111yescharacteristic
755C2×D8C23×C1112yes—
756C2×D8C23×C1112yes—
757C2×M16C23×C1111yescharacteristic
758C2×M16C23×C1111yescharacteristic
759C22×C8C23×C1111yescharacteristic
760C22×C8C23×C1111yescharacteristic
761C4⋊Q8C23×C1111yescharacteristic
762#127C23×C1111yescharacteristic
763#126—22no—
764#126—22no—
765#126—22no—
766#126—22no—
767#125—22no—
768#125—22no—
769#125—21no—
770#125—21no—
771#125C23×C1112yes—
772#125C23×C1112yes—
773#124C23×C1111yescharacteristic
774#124C23×C1111yescharacteristic
775#123—22no—
776#123—22no—
777#123—22no—
778#123—22no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8C23×C1112yes—
782C22⋊Q8C23×C1112yes—
783#121—21no—
784#121—21no—
785#121—22no—
786#121—22no—
787#121—21no—
788#121—21no—
789#121—22no—
790#121—22no—
791#121C23×C1112yes—
792#121C23×C1112yes—
793C4×Q8—21no—
794C4×Q8D4×C1111yescharacteristic
795C4×Q8D4×C1111yescharacteristic
796C4×Q8C23×C1111yescharacteristic
797C4×Q8C23×C1112yes—
798C4×Q8C23×C1111yescharacteristic
799C4×Q8C23×C1112yes—
800C4×Q8C23×C1112yes—
801C4×D4—22no—
802C4×D4—21no—
803C4×D4—21no—
804C4×D4—22no—
805C4×D4—21no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—21no—
810C4×D4—22no—
811C4×D4—21no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—21no—
820C4×D4—22no—
821C4×D4—21no—
822C4×D4—21no—
823C4×D4—21no—
824C4×D4D4×C1112yes—
825C4×D4D4×C1111yescharacteristic
826C4×D4D4×C1112yes—
827C4×D4D4×C1111yescharacteristic
828C4×D4C23×C1112yes—
829C4×D4C23×C1111yescharacteristic
830C4×D4C23×C1112yes—
831C4×D4C23×C1112yes—
832C4×D4C23×C1112yes—
833C4×D4C23×C1112yes—
834C4×D4C23×C1111yescharacteristic
835C4×D4C23×C1112yes—
836C4×D4C23×C1112yes—
837#117—21no—
838#117—22no—
839#117—21no—
840#117—21no—
841#117—22no—
842#117—21no—
843#117—22no—
844#117—22no—
845#117C23×C1111yescharacteristic
846#117C23×C1112yes—
847#117C23×C1111yescharacteristic
848#117C23×C1112yes—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—22no—
853C2×C4⋊C4—21no—
854C2×C4⋊C4—21no—
855C2×C4⋊C4C23×C1111yescharacteristic
856C2×C4⋊C4C23×C1112yes—
857C2×C4⋊C4C23×C1111yescharacteristic
858C2×C4⋊C4C23×C1111yescharacteristic
859C2×C22⋊C4—21no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C42—22no—
865C2×C42—21no—
866C2×C42C23×C1111yescharacteristic
867C2×C42C23×C1112yes—
868#107C23×C1112yes—
869#107C23×C1112yes—
870#107C23×C1112yes—
871#107C23×C1112yes—
872#106C23×C1112yes—
873#106C23×C1112yes—
874#106C23×C1112yes—
875#106C23×C1112yes—
876C4⋊C8C23×C1111yescharacteristic
877C4⋊C8C23×C1111yescharacteristic
878C4⋊C8C23×C1111yescharacteristic
879C4⋊C8C23×C1111yescharacteristic
880C4⋊C8C23×C1112yes—
881C4⋊C8C23×C1112yes—
882#103C23×C1111yescharacteristic
883#103C23×C1111yescharacteristic
884#103C23×C1111yescharacteristic
885#103C23×C1111yescharacteristic
886#103C23×C1112yes—
887#103C23×C1112yes—
888#103C23×C1112yes—
889#103C23×C1112yes—
890#102C23×C1112yes—
891#102C23×C1112yes—
892#102C23×C1112yes—
893#102C23×C1112yes—
894#102C23×C1111yescharacteristic
895#102C23×C1111yescharacteristic
896#102C23×C1111yescharacteristic
897#102C23×C1111yescharacteristic
898#102C23×C1112yes—
899#102C23×C1112yes—
900#102C23×C1112yes—
901#102C23×C1112yes—
902C22⋊C8C23×C1112yes—
903C22⋊C8C23×C1112yes—
904C22⋊C8C23×C1112yes—
905C22⋊C8C23×C1112yes—
906#97C23×C1112yes—
907#97C23×C1112yes—
908C4×C8C23×C1112yes—
909C4×C8C23×C1112yes—
910C2×C11—22no—
911C2×C11—42no—
912C2×C11—44no—
913C2×C11—42no—
914C2×C11—81no—
915C2×C11—81no—
916C2×C11C2×#52511yescharacteristic
917C2×C11#358411yescharacteristic
918C2×C11#358511yescharacteristic
919C24—22no—
920C24—21no—
921#41—28no—
922#41—24no—
923#41—24no—
924#41—22no—
925#41—22no—
926#41—22no—
927#41—22no—
928#41—22no—
929#41—22no—
930#41—22no—
931#41C11×#4114yes—
932C2×Q8C2×D4×C1111yescharacteristic
933C2×Q8C24×C1111yescharacteristic
934C2×Q8C24×C1111yescharacteristic
935C2×Q8C24×C1111yescharacteristic
936C2×D4—216no—
937C2×D4—28no—
938C2×D4—22no—
939C2×D4—21no—
940C2×D4—24no—
941C2×D4—24no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—22no—
945C2×D4—22no—
946C2×D4—22no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—22no—
951C2×D4C2×D4×C1112yes—
952C2×D4C2×D4×C1111yescharacteristic
953C2×D4C11×#4114yes—
954C2×D4C24×C1111yescharacteristic
955C2×D4C24×C1111yescharacteristic
956C2×D4C24×C1111yescharacteristic
957C2×D4C24×C1112yes—
958C22×C4—22no—
959C22×C4—21no—
960C22×C4—22no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—22no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—22no—
969C22×C4—21no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—84no—
976C22×C4—82no—
977C22×C4C2×D4×C1111yescharacteristic
978C22×C4C2×D4×C1112yes—
979C22×C4C2×D4×C1111yescharacteristic
980C22×C4C2×D4×C1112yes—
981C22×C4C24×C1112yes—
982C22×C4C24×C1111yescharacteristic
983Q16—22no—
984Q16—22no—
985SD16—22no—
986SD16—22no—
987SD16—22no—
988SD16—22no—
989SD16—24no—
990SD16—24no—
991D8—22no—
992D8—22no—
993D8—24no—
994D8—24no—
995M16—22no—
996M16—22no—
997C2×C8—22no—
998C2×C8—22no—
999C2×C8C24×C1111yescharacteristic
1000C2×C8C24×C1111yescharacteristic
1001C2×C8C24×C1112yes—
1002C2×C8C24×C1112yes—
1003C2×C8C24×C1111yescharacteristic
1004C2×C8C24×C1111yescharacteristic
1005C4⋊C4—22no—
1006C4⋊C4—21no—
1007C4⋊C4—22no—
1008C4⋊C4—21no—
1009C4⋊C4—21no—
1010C4⋊C4—21no—
1011C4⋊C4—22no—
1012C4⋊C4—22no—
1013C4⋊C4—22no—
1014C4⋊C4—22no—
1015C4⋊C4—22no—
1016C4⋊C4—22no—
1017C4⋊C4—21no—
1018C4⋊C4—22no—
1019C4⋊C4—22no—
1020C4⋊C4—21no—
1021C4⋊C4—21no—
1022C4⋊C4C2×D4×C1111yescharacteristic
1023C4⋊C4C2×D4×C1111yescharacteristic
1024C4⋊C4C2×D4×C1112yes—
1025C4⋊C4C2×D4×C1112yes—
1026C4⋊C4C24×C1112yes—
1027C4⋊C4C24×C1112yes—
1028C4⋊C4C24×C1111yescharacteristic
1029C4⋊C4C24×C1112yes—
1030C4⋊C4C24×C1111yescharacteristic
1031C22⋊C4—22no—
1032C22⋊C4—21no—
1033C22⋊C4—22no—
1034C22⋊C4—22no—
1035C22⋊C4—22no—
1036C22⋊C4—21no—
1037C22⋊C4—22no—
1038C22⋊C4—22no—
1039C22⋊C4—22no—
1040C22⋊C4—22no—
1041C22⋊C4—21no—
1042C22⋊C4—21no—
1043C22⋊C4—21no—
1044C22⋊C4—22no—
1045C22⋊C4—22no—
1046C22⋊C4—22no—
1047C22⋊C4—22no—
1048C22⋊C4—21no—
1049C22⋊C4—21no—
1050C22⋊C4C2×D4×C1112yes—
1051C22⋊C4C2×D4×C1112yes—
1052C22⋊C4C2×D4×C1112yes—
1053C42—21no—
1054C42—22no—
1055C42—21no—
1056C42—22no—
1057C42—21no—
1058C42—22no—
1059C42—22no—
1060C42C2×D4×C1112yes—
1061C42C2×D4×C1111yescharacteristic
1062C42C2×D4×C1112yes—
1063C42C2×D4×C1111yescharacteristic
1064C42C24×C1112yes—
1065C42C24×C1111yescharacteristic
1066C42C24×C1111yescharacteristic
1067C11#6060111yescharacteristic, direct product factor, Sylow
1068C23—28no—
1069C23—22no—
1070C23—21no—
1071C23—24no—
1072C23—21no—
1073C23—21no—
1074C23—81no—
1075C23—82no—
1076C23—81no—
1077C23—82no—
1078C23C22×D4×C1112yes—
1079C23C22×D4×C1111yescharacteristic
1080Q8—22no—
1081Q8—21no—
1082Q8—21no—
1083Q8—21no—
1084Q8—21no—
1085Q8—21no—
1086Q8C2×C11×#4112yes—
1087D4—28no—
1088D4—28no—
1089D4—24no—
1090D4—24no—
1091D4—22no—
1092D4—24no—
1093D4—22no—
1094D4—21no—
1095D4—21no—
1096D4—21no—
1097D4—21no—
1098D4—21no—
1099D4—42no—
1100D4—42no—
1101D4—81no—
1102D4—81no—
1103D4—82no—
1104D4—82no—
1105D4C2×C11×#4112yes—
1106D4C2×C11×#4114yes—
1107C2×C4—28no—
1108C2×C4—21no—
1109C2×C4—24no—
1110C2×C4—22no—
1111C2×C4—22no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—22no—
1116C2×C4—21no—
1117C2×C4—22no—
1118C2×C4—22no—
1119C2×C4—42no—
1120C2×C4—41no—
1121C2×C4—42no—
1122C2×C4—41no—
1123C2×C4—42no—
1124C2×C4—44no—
1125C2×C4—42no—
1126C2×C4—42no—
1127C2×C4—82no—
1128C2×C4—82no—
1129C2×C4—81no—
1130C2×C4—82no—
1131C2×C4—82no—
1132C2×C4—82no—
1133C2×C4—82no—
1134C2×C4—81no—
1135C2×C4—81no—
1136C2×C4—81no—
1137C2×C4—82no—
1138C2×C4C22×D4×C1112yes—
1139C2×C4C22×D4×C1111yescharacteristic
1140C2×C4C22×D4×C1112yes—
1141C2×C4C22×D4×C1111yescharacteristic
1142C2×C4C22×D4×C1112yes—
1143C2×C4C22×D4×C1111yescharacteristic
1144C2×C4C22×D4×C1111yescharacteristic
1145C2×C4C22×D4×C1111yescharacteristic
1146C2×C4C2×C11×#4112yes—
1147C2×C4C2×C11×#4112yes—
1148C2×C4C25×C1111yescharacteristic
1149C8—21no—
1150C8—21no—
1151C8—21no—
1152C8—21no—
1153C8—22no—
1154C8—22no—
1155C22—21no—
1156C22—21no—
1157C22—22no—
1158C22—24no—
1159C22—22no—
1160C22—22no—
1161C22—22no—
1162C22—42no—
1163C22—41no—
1164C22—42no—
1165C22—41no—
1166C22—41no—
1167C22—41no—
1168C22—41no—
1169C22—41no—
1170C22—41no—
1171C22—41no—
1172C22—84no—
1173C22—88no—
1174C22C11×#52512yes—
1175C22C23×D4×C1111yescharacteristic
1176C4—22no—
1177C4—22no—
1178C4—21no—
1179C4—22no—
1180C4—21no—
1181C4—21no—
1182C4—22no—
1183C4—21no—
1184C4—41no—
1185C4—41no—
1186C4—41no—
1187C4—42no—
1188C4—41no—
1189C4—42no—
1190C4—42no—
1191C4C11×#52512yes—
1192C4C22×C11×#4111yescharacteristic
1193C4C22×C11×#4111yescharacteristic
1194C2—22no—
1195C2—42no—
1196C2—44no—
1197C2—42no—
1198C2—81no—
1199C2—81no—
1200C2C2×C11×#52511yescharacteristic
1201C2C11×#358411yescharacteristic
1202C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C4×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3512C2semidirect
2. C4×C11×H(5,𝔽2)C2semidirect
3. C11×#3123C2semidirect
4. C11×#3122C2semidirect
5. C11×#3120C2semidirect
6. C11×#3119C2semidirect
7. C11×#3114C2semidirect
8. C11×#3111C2semidirect
9. C11×#3105C2semidirect
10. C11×#3102C2semidirect
11. C11×#3099C2semidirect
12. C11×#3098C2semidirect
13. C11×#3080C2semidirect
14. C2×C11×#478C2semidirect
15. C11×#3036C2semidirect
16. C11×#3035C2semidirect
17. C11×#3012C2semidirect
18. C11×#3012C2semidirect
19. C11×#2952C2semidirect
20. C11×#2951C2semidirect
21. C11×#2946C2semidirect
22. C11×#2946C2semidirect
23. C11×#2925C2semidirect
35. C11×#541C22semidirect
36. C11×#540C22semidirect
39. C11×#532C22semidirect
40. C11×#529C22semidirect
41. C11×#529C22semidirect
42. C2×C11×#125C22semidirect
47. C11×#520C22semidirect
48. C11×#520C22semidirect
61. C11×#485C22semidirect
62. C11×#485C22semidirect
63. C11×#484C22semidirect
64. C11×#483C22semidirect
65. C11×#482C22semidirect
66. C11×#482C22semidirect
67. C11×#481C22semidirect
68. C11×#480C22semidirect
69. C11×#479C22semidirect
70. C11×#479C22semidirect
71. C11×#478C22semidirect
72. C11×#478C22semidirect
73. C11×#478C22semidirect
74. C11×#478C22semidirect
75. C11×#478C22semidirect
76. C11×#478C22semidirect
77. C11×#464C22semidirect
78. C11×#464C22semidirect
79. C11×#463C22semidirect
80. C11×#463C22semidirect
81. C11×#463C22semidirect
82. C11×#463C22semidirect
83. C11×#462C22semidirect
84. C11×#461C22semidirect
85. C11×#461C22semidirect
86. C11×#460C22semidirect
87. C11×#459C22semidirect
88. C11×#459C22semidirect
97. C11×#442C22semidirect
98. C11×#442C22semidirect
99. C11×#442C22semidirect
100. C11×#441C22semidirect
101. C11×#440C22semidirect
102. C11×#440C22semidirect
103. C11×#440C22semidirect
104. C11×#440C22semidirect
105. C4×C11×Q16C22semidirect
106. C4×C11×SD16C22semidirect
107. C4×C11×SD16C22semidirect
108. C4×C11×SD16C22semidirect
109. C4×C11×SD16C22semidirect
110. C4×C11×D8C22semidirect
111. C4×C11×D8C22semidirect
112. C4×C11×D8C22semidirect
113. C11×#433C22semidirect
114. C11×#433C22semidirect
115. C11×#432C22semidirect
116. C11×#431C22semidirect
117. C11×#428C22semidirect
118. C11×#428C22semidirect
119. C2×C11×#107C22semidirect
120. C2×C11×#106C22semidirect
121. C11×#423C22semidirect
122. C2×C11×C4⋊C8C22semidirect
125. C11×#417C22semidirect
126. C11×#417C22semidirect
127. C11×#416C22semidirect
128. C11×#416C22semidirect
133. C11×#405C22semidirect
134. C11×#405C22semidirect
318. #60601C11direct (N × H)
467. #3512C2×C11semidirect
468. C4×H(5,𝔽2)C2×C11semidirect
469. #3123C2×C11semidirect
470. #3122C2×C11semidirect
471. #3120C2×C11semidirect
472. #3119C2×C11semidirect
473. #3114C2×C11semidirect
474. #3111C2×C11semidirect
475. #3105C2×C11semidirect
476. #3102C2×C11semidirect
477. #3099C2×C11semidirect
478. #3098C2×C11semidirect
479. #3080C2×C11semidirect
480. C2×#478C2×C11semidirect
481. #3036C2×C11semidirect
482. #3035C2×C11semidirect
483. #3012C2×C11semidirect
484. #3012C2×C11semidirect
485. #2952C2×C11semidirect
486. #2951C2×C11semidirect
487. #2946C2×C11semidirect
488. #2946C2×C11semidirect
489. #2925C2×C11semidirect
588. #541C22×C11semidirect
589. #540C22×C11semidirect
592. #532C22×C11semidirect
593. #529C22×C11semidirect
594. #529C22×C11semidirect
595. C2×#125C22×C11semidirect
600. #520C22×C11semidirect
601. #520C22×C11semidirect
614. #485C22×C11semidirect
615. #485C22×C11semidirect
616. #484C22×C11semidirect
617. #483C22×C11semidirect
618. #482C22×C11semidirect
619. #482C22×C11semidirect
620. #481C22×C11semidirect
621. #480C22×C11semidirect
622. #479C22×C11semidirect
623. #479C22×C11semidirect
624. #478C22×C11semidirect
625. #478C22×C11semidirect
626. #478C22×C11semidirect
627. #478C22×C11semidirect
628. #478C22×C11semidirect
629. #478C22×C11semidirect
630. #464C22×C11semidirect
631. #464C22×C11semidirect
632. #463C22×C11semidirect
633. #463C22×C11semidirect
634. #463C22×C11semidirect
635. #463C22×C11semidirect
636. #462C22×C11semidirect
637. #461C22×C11semidirect
638. #461C22×C11semidirect
639. #460C22×C11semidirect
640. #459C22×C11semidirect
641. #459C22×C11semidirect
650. #442C22×C11semidirect
651. #442C22×C11semidirect
652. #442C22×C11semidirect
653. #441C22×C11semidirect
654. #440C22×C11semidirect
655. #440C22×C11semidirect
656. #440C22×C11semidirect
657. #440C22×C11semidirect
658. C4×Q16C22×C11semidirect
659. C4×SD16C22×C11semidirect
660. C4×SD16C22×C11semidirect
661. C4×SD16C22×C11semidirect
662. C4×SD16C22×C11semidirect
663. C4×D8C22×C11semidirect
664. C4×D8C22×C11semidirect
665. C4×D8C22×C11semidirect
666. #433C22×C11semidirect
667. #433C22×C11semidirect
668. #432C22×C11semidirect
669. #431C22×C11semidirect
670. #428C22×C11semidirect
671. #428C22×C11semidirect
672. C2×#107C22×C11semidirect
673. C2×#106C22×C11semidirect
674. #423C22×C11semidirect
675. C2×C4⋊C8C22×C11semidirect
678. #417C22×C11semidirect
679. #417C22×C11semidirect
680. #416C22×C11semidirect
681. #416C22×C11semidirect
686. #405C22×C11semidirect
687. #405C22×C11semidirect
1067. C11#60601direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35122
C4×C11×H(5,𝔽2)2
C11×#31232
C11×#31222
C11×#31202
C11×#31192
C11×#31142
C11×#31112
C11×#31052
C11×#31022
C11×#30992
C11×#30982
C11×#30802
C2×C11×#4782
C11×#30362
C11×#30352
C11×#30122
C11×#29522
C11×#29512
C11×#29462
C11×#29252
#6060111