Finite Group Databasebeta

← C11×#61659 #14638852

Subgroups — C11×#61659 #14638852

Order 2816.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1228 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3546C211yesmaximal, characteristic, complemented
2C11×#3497C211yesmaximal, characteristic, complemented
3C11×#3332C211yesmaximal, characteristic, complemented
4C11×#3328C211yesmaximal, characteristic, complemented
5C11×#3326C212yesmaximal, complemented
6C11×#3304C211yesmaximal, characteristic, complemented
7C11×#3301C212yesmaximal, complemented
8C11×#3298C211yesmaximal, characteristic, complemented
9C11×#3287C211yesmaximal, characteristic, complemented
10C11×#3282C212yesmaximal, complemented
11D4×C11×SD16C211yesmaximal, characteristic, complemented
12C11×#3278C211yesmaximal, characteristic, complemented
13C11×#3275C212yesmaximal, complemented
14C11×#3274C211yesmaximal, characteristic, complemented
15C11×#3212C211yesmaximal, characteristic, complemented
16C11×#3207C211yesmaximal, characteristic, complemented
17C11×#3204C212yesmaximal, complemented
18C11×#3198C212yesmaximal, complemented
19C11×#3108C211yesmaximal, characteristic, complemented
20C11×#3103C211yesmaximal, characteristic, complemented
21C11×#3013C212yesmaximal, complemented
22C11×#3010C212yesmaximal, complemented
23C11×#2979C211yesmaximal, characteristic, complemented
24C2×C11×2−1+4C2212yescomplemented
25C2×C11×#137C2212yescomplemented
26C2×C11×AGL(1,ℤ/8)C2212yes—
27C2×C11×#135C2212yescomplemented
28C22×C11×SD16C2212yes—
29C11×#560—22no—
30C11×#556C2211yescharacteristic
31C11×#553C2212yes—
32C11×#550—21no—
33C11×#550—21no—
34C11×#550C2211yescharacteristic
35C11×#550C2211yescharacteristic
36C11×#550C2211yescharacteristic, complemented
37D4×Q8×C11—21no—
38D4×Q8×C11C2211yescharacteristic
39D4×Q8×C11C2211yescharacteristic, complemented
40C11×#548—22no—
41C11×#548C2212yescomplemented
42C11×#548C2212yescomplemented
43C11×#547C2211yescharacteristic
44C11×#546—21no—
45C11×#546C2212yes—
46D42×C11C2211yescharacteristic
47C11×#542—21no—
48C11×#538—22no—
49C11×#537—22no—
50C11×#537C2212yes—
51C11×#537C2212yescomplemented
52C11×#535—21no—
53C11×#535C2212yes—
54C11×#532—21no—
55C11×#532—21no—
56C11×#532C2211yescharacteristic
57C11×#532C2211yescharacteristic
58C11×#532C2211yescharacteristic, complemented
59C11×#529C2211yescharacteristic
60C2×C4×Q8×C11C2211yescharacteristic, complemented
61C11×#495C2212yes—
62C11×#493C2211yescharacteristic
63C11×#492C2211yescharacteristic
64C11×#488C2212yescomplemented
65C11×#487C2211yescharacteristic, complemented
66C11×#486C2211yescharacteristic, complemented
67C11×#485C2212yescomplemented
68C11×#483C2211yescharacteristic, complemented
69C11×#483C2212yescomplemented
70C11×#482C2212yescomplemented
71C11×#481C2212yescomplemented
72C11×#481C2212yescomplemented
73C11×#480C2211yescharacteristic
74C11×#479C2211yescharacteristic, complemented
75C11×#479C2211yescharacteristic, complemented
76C11×#475C2211yescharacteristic, complemented
77C11×#475C2211yescharacteristic, complemented
78C11×#470C2212yescomplemented
79C11×#469C2212yes—
80C11×#469C2212yes—
81C11×#468C2212yescomplemented
82C11×#466C2212yescomplemented
83C11×#465C2212yes—
84C11×#465C2212yes—
85C11×#465C2212yescomplemented
86C11×#464C2211yescharacteristic
87C11×#464C2211yescharacteristic
88C11×#463C2212yescomplemented
89C11×#463C2212yescomplemented
90C11×#462C2211yescharacteristic, complemented
91C11×#461C2211yescharacteristic
92C11×#460C2211yescharacteristic
93C11×#460C2211yescharacteristic
94C11×#460C2211yescharacteristic, complemented
95C11×#459C2211yescharacteristic
96C11×#452C2212yescomplemented
97C11×#452C2212yescomplemented
98C11×#452C2212yescomplemented
99C11×#451C2211yescharacteristic, complemented
100C11×#451C2212yescomplemented
101C11×#450C2212yes—
102C11×#449C2212yes—
103C11×#449C2212yes—
104C11×#449C2212yes—
105C11×#449C2212yescomplemented
106C11×#449C2212yescomplemented
107C11×#449C2212yescomplemented
108C11×#449C2212yescomplemented
109C11×#448C2211yescharacteristic
110C11×#448C2212yes—
111C11×#448C2212yes—
112C11×#448C2212yescomplemented
113C11×#448C2212yescomplemented
114C11×#447C2212yes—
115C4×C11×Q16C2211yescharacteristic, complemented
116C4×C11×Q16C2211yescharacteristic, complemented
117C4×C11×SD16C2211yescharacteristic
118C4×C11×SD16C2211yescharacteristic
119C4×C11×SD16C2212yescomplemented
120C4×C11×SD16C2212yescomplemented
121C11×#436C2211yescharacteristic
122C11×#436C2212yescomplemented
123C11×#436C2211yescharacteristic, complemented
124C8×D4×C11C2211yescharacteristic
125C8×D4×C11C2212yescomplemented
126C8×D4×C11C2211yescharacteristic, complemented
127C11×#431C2211yescharacteristic, complemented
128C11×#431C2211yescharacteristic, complemented
129C11×#419C2212yescomplemented
130C11×#417C2212yescomplemented
131C11×#416C2212yescomplemented
132C2×C11×#103C2212yescomplemented
133C11×#408C2212yescomplemented
134C11×#408C2212yescomplemented
135C11×2−1+4—44no—
136C11×2−1+4—44no—
137C2×C11×#41—22no—
138C2×C11×#41—22no—
139C2×C11×#41—22no—
140C2×C11×#41—21no—
141C2×C11×#41—21no—
142C2×C11×#41C2312yes—
143C2×C11×#41C2312yes—
144C2×C11×#41C2312yes—
145C2×C11×#41C2312yes—
146C2×C11×#41C2312yes—
147C22×Q8×C11—22no—
148C22×Q8×C11C2311yescharacteristic
149C22×Q8×C11C2312yes—
150C22×Q8×C11C2312yes—
151C22×D4×C11—21no—
152C22×D4×C11C2312yes—
153C11×#137—44no—
154C11×AGL(1,ℤ/8)—44no—
155C11×#135—44no—
156C2×C11×Q16C2311yescharacteristic
157C2×C11×Q16C2311yescharacteristic
158C2×C11×Q16C2312yes—
159C2×C11×SD16—44no—
160C2×C11×SD16C2311yescharacteristic
161C2×C11×SD16C2312yes—
162C2×C11×SD16C2311yescharacteristic
163C2×C11×SD16C2312yes—
164C2×C11×SD16C2312yes—
165C2×C11×SD16C2312yes—
166C2×C11×SD16C2312yes—
167C2×C11×SD16C2312yes—
168C2×C11×D8C2312yes—
169C2×C11×D8C2312yes—
170C2×C11×D8C2312yes—
171C2×C11×M16C2312yes—
172C2×C11×M16C2312yes—
173C22×C8×C11C2312yes—
174C22×C8×C11C2312yes—
175C11×C4⋊Q8—21no—
176C11×C4⋊Q8—21no—
177C11×C4⋊Q8D411yescharacteristic
178C11×C4⋊Q8C2311yescharacteristic
179C11×C4⋊Q8C2311yescharacteristic
180C11×#127—21no—
181C11×#127—21no—
182C11×#127—21no—
183C11×#127—22no—
184C11×#127D411yescharacteristic
185C11×#127C2311yescharacteristic
186C11×#127C2311yescharacteristic
187C11×#126—22no—
188C11×#126—22no—
189C11×#126—21no—
190C11×#125C2311yescharacteristic
191C11×#124—22no—
192C11×#124—21no—
193C11×#124—22no—
194C11×#124—22no—
195C11×#124—21no—
196C11×#124D412yes—
197C11×#124C2311yescharacteristic
198C11×#124C2312yes—
199C11×#123—21no—
200C11×#123—22no—
201C11×#123—22no—
202C11×#123—22no—
203C11×C22⋊Q8—22no—
204C11×C22⋊Q8—22no—
205C11×C22⋊Q8—22no—
206C11×C22⋊Q8—22no—
207C11×C22⋊Q8—21no—
208C11×C22⋊Q8—22no—
209C11×C22⋊Q8—22no—
210C11×C22⋊Q8C2311yescharacteristic
211C11×C22⋊Q8C2312yes—
212C11×C22⋊Q8C2312yes—
213C11×C22⋊Q8C2312yes—
214C11×#121—22no—
215C11×#121—22no—
216C11×#121—22no—
217C11×#121—22no—
218C11×#121—22no—
219C11×#121—22no—
220C11×#121—22no—
221C11×#121—22no—
222C11×#121—22no—
223C11×#121—21no—
224C11×#121—21no—
225C11×#121—21no—
226C11×#121—21no—
227C11×#121—22no—
228C11×#121—22no—
229C11×#121—22no—
230C11×#121—22no—
231C11×#121D411yescharacteristic
232C11×#121D411yescharacteristic
233C11×#121D412yes—
234C11×#121C2311yescharacteristic
235C11×#121C2312yes—
236C11×#121C2312yes—
237C11×#121C2312yes—
238C11×#121C2312yes—
239C11×#121C2312yes—
240C11×#121C2312yes—
241C11×#120—22no—
242C11×#120—22no—
243C11×#120—22no—
244C11×#120—22no—
245C4×Q8×C11—21no—
246C4×Q8×C11—21no—
247C4×Q8×C11—21no—
248C4×Q8×C11C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2311yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11—21no—
256C4×D4×C11—21no—
257C4×D4×C11—21no—
258C4×D4×C11—21no—
259C4×D4×C11—22no—
260C4×D4×C11—22no—
261C4×D4×C11—22no—
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11—21no—
265C4×D4×C11C2311yescharacteristic
266C4×D4×C11C2312yes—
267C4×D4×C11C2311yescharacteristic
268C4×D4×C11C2312yes—
269C4×D4×C11C2311yescharacteristic
270C11×#117—21no—
271C11×#117C2312yes—
272C2×C11×C4⋊C4—21no—
273C2×C11×C4⋊C4C2311yescharacteristic
274C2×C11×C4⋊C4C2312yes—
275C2×C11×C22⋊C4—22no—
276C2×C42×C11—21no—
277C2×C42×C11C2311yescharacteristic
278C11×#107C2311yescharacteristic
279C11×#107C2311yescharacteristic
280C11×#106C2311yescharacteristic
281C11×#106C2311yescharacteristic
282C11×#106C2312yes—
283C11×#106C2312yes—
284C11×C4⋊C8C2311yescharacteristic
285C11×C4⋊C8C2311yescharacteristic
286C11×C4⋊C8C2311yescharacteristic
287C11×C4⋊C8C2311yescharacteristic
288C11×#103C2311yescharacteristic
289C11×#103C2312yes—
290C11×#103C2312yes—
291C11×#103C2312yes—
292C11×#103C2311yescharacteristic
293C11×#103C2311yescharacteristic
294C11×#103C2312yes—
295C11×#103C2311yescharacteristic
296C11×#103C2312yes—
297C11×#103C2312yes—
298C11×#103C2311yescharacteristic
299C11×#103C2311yescharacteristic
300C11×#102C2312yes—
301C11×#102C2312yes—
302C11×#102C2312yes—
303C11×#102C2312yes—
304C11×#102C2311yescharacteristic
305C11×#102C2311yescharacteristic
306C11×#102C2312yes—
307C11×#102C2312yes—
308C11×C22⋊C8C2311yescharacteristic
309C11×C22⋊C8C2312yes—
310C11×C22⋊C8C2311yescharacteristic
311C11×C22⋊C8C2312yes—
312C11×C22⋊C8C2312yes—
313C11×C22⋊C8C2312yes—
314C11×C22⋊C8C2312yes—
315C4×C8×C11C2311yescharacteristic
316C4×C8×C11C2311yescharacteristic
317C4×C8×C11C2312yes—
318#61659C1111yesmaximal, characteristic, direct product factor, Sylow
319C24×C11—22no—
320C11×#41—24no—
321C11×#41—24no—
322C11×#41—42no—
323C11×#41—42no—
324C11×#41—42no—
325C11×#41—42no—
326C11×#41—42no—
327C11×#41—42no—
328C11×#41—48no—
329C11×#41—48no—
330C11×#41—42no—
331C11×#41—42no—
332C11×#41—48no—
333C11×#41—82no—
334C11×#41—82no—
335C2×Q8×C11—22no—
336C2×Q8×C11—22no—
337C2×Q8×C11—21no—
338C2×Q8×C11—21no—
339C2×Q8×C11—22no—
340C2×Q8×C11—22no—
341C2×Q8×C11—24no—
342C2×Q8×C11—24no—
343C2×Q8×C11—42no—
344C2×Q8×C11—42no—
345C2×Q8×C11—48no—
346C2×Q8×C11C2×D412yes—
347C2×Q8×C11C2412yes—
348C2×Q8×C11C2411yescharacteristic
349C2×Q8×C11C2411yescharacteristic
350C2×Q8×C11C2411yescharacteristic
351C2×D4×C11—22no—
352C2×D4×C11—22no—
353C2×D4×C11—22no—
354C2×D4×C11—21no—
355C2×D4×C11—22no—
356C2×D4×C11—22no—
357C2×D4×C11—22no—
358C2×D4×C11—22no—
359C2×D4×C11—22no—
360C2×D4×C11—22no—
361C2×D4×C11—22no—
362C2×D4×C11—21no—
363C2×D4×C11—21no—
364C2×D4×C11—21no—
365C2×D4×C11—21no—
366C2×D4×C11—22no—
367C2×D4×C11—42no—
368C2×D4×C11—42no—
369C2×D4×C11—82no—
370C2×D4×C11C2×D411yescharacteristic
371C2×D4×C11C2×D411yescharacteristic
372C2×D4×C11C2×D412yes—
373C2×D4×C11C2×D412yes—
374C2×D4×C11C2×D412yes—
375C2×D4×C11C2×D412yes—
376C2×D4×C11C2412yes—
377C2×D4×C11C2411yescharacteristic
378C2×D4×C11C2412yes—
379C22×C4×C11—21no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—21no—
383C22×C4×C11—22no—
384C22×C4×C11—21no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11C2×D411yescharacteristic
391C22×C4×C11C2×D411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2412yes—
394C22×C4×C11C2412yes—
395C11×Q16—22no—
396C11×Q16—22no—
397C11×Q16—42no—
398C11×SD16—22no—
399C11×SD16—24no—
400C11×SD16—22no—
401C11×SD16—24no—
402C11×SD16—42no—
403C11×SD16—42no—
404C11×SD16—42no—
405C11×SD16—42no—
406C11×D8—42no—
407C11×D8—42no—
408C11×D8—42no—
409C11×M16—42no—
410C11×M16—42no—
411C2×C8×C11—42no—
412C2×C8×C11—42no—
413C2×C8×C11C2411yescharacteristic
414C2×C8×C11C2411yescharacteristic
415C2×C8×C11C2412yes—
416C2×C8×C11C2412yes—
417C2×C8×C11C2411yescharacteristic
418C2×C8×C11C2411yescharacteristic
419C11×C4⋊C4—21no—
420C11×C4⋊C4—21no—
421C11×C4⋊C4—21no—
422C11×C4⋊C4—21no—
423C11×C4⋊C4—21no—
424C11×C4⋊C4—22no—
425C11×C4⋊C4—21no—
426C11×C4⋊C4—21no—
427C11×C4⋊C4—21no—
428C11×C4⋊C4—21no—
429C11×C4⋊C4—21no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—21no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—21no—
435C11×C4⋊C4C2×D411yescharacteristic
436C11×C4⋊C4C2×D411yescharacteristic
437C11×C4⋊C4C2×D412yes—
438C11×C4⋊C4C2411yescharacteristic
439C11×C4⋊C4C2411yescharacteristic
440C11×C4⋊C4C2411yescharacteristic
441C11×C4⋊C4C2412yes—
442C11×C4⋊C4C2411yescharacteristic
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—21no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—21no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—21no—
451C11×C22⋊C4—21no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—21no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4C2×D412yes—
462C11×C22⋊C4C2×D412yes—
463C11×C22⋊C4C2×D412yes—
464C11×C22⋊C4C2×D412yes—
465C42×C11—21no—
466C42×C11—21no—
467C42×C11—21no—
468C42×C11—21no—
469C42×C11—21no—
470C42×C11—22no—
471C42×C11C2×D411yescharacteristic
472C42×C11C2×D411yescharacteristic
473C42×C11C2411yescharacteristic
474C42×C11C2411yescharacteristic
475#3546C2×C1111yescharacteristic, complemented
476#3497C2×C1111yescharacteristic, complemented
477#3332C2×C1111yescharacteristic, complemented
478#3328C2×C1111yescharacteristic, complemented
479#3326C2×C1112yescomplemented
480#3304C2×C1111yescharacteristic, complemented
481#3301C2×C1112yescomplemented
482#3298C2×C1111yescharacteristic, complemented
483#3287C2×C1111yescharacteristic, complemented
484#3282C2×C1112yescomplemented
485D4×SD16C2×C1111yescharacteristic, complemented
486#3278C2×C1111yescharacteristic, complemented
487#3275C2×C1112yescomplemented
488#3274C2×C1111yescharacteristic, complemented
489#3212C2×C1111yescharacteristic, complemented
490#3207C2×C1111yescharacteristic, complemented
491#3204C2×C1112yescomplemented
492#3198C2×C1112yescomplemented
493#3108C2×C1111yescharacteristic, complemented
494#3103C2×C1111yescharacteristic, complemented
495#3013C2×C1112yescomplemented
496#3010C2×C1112yescomplemented
497#2979C2×C1111yescharacteristic, complemented
498C23×C11—21no—
499C23×C11—22no—
500C23×C11—22no—
501C23×C11—82no—
502C23×C11—82no—
503C23×C11—82no—
504C23×C11C22×D412yes—
505C23×C11C22×D412yes—
506C23×C11C22×D411yescharacteristic
507Q8×C11—24no—
508Q8×C11—21no—
509Q8×C11—21no—
510Q8×C11—21no—
511Q8×C11—22no—
512Q8×C11—22no—
513Q8×C11—21no—
514Q8×C11—42no—
515Q8×C11—44no—
516Q8×C11—44no—
517Q8×C11—42no—
518Q8×C11H(5,𝔽2)12yes—
519Q8×C11H(5,𝔽2)12yes—
520D4×C11—22no—
521D4×C11—22no—
522D4×C11—21no—
523D4×C11—22no—
524D4×C11—22no—
525D4×C11—22no—
526D4×C11—22no—
527D4×C11—21no—
528D4×C11—42no—
529D4×C11—42no—
530D4×C11—42no—
531D4×C11—42no—
532D4×C11—44no—
533D4×C11—44no—
534D4×C11—44no—
535D4×C11—42no—
536D4×C11—42no—
537D4×C11—81no—
538D4×C11—81no—
539D4×C11—82no—
540D4×C11—82no—
541D4×C11—82no—
542D4×C11—81no—
543D4×C11—82no—
544D4×C11—82no—
545D4×C11—82no—
546D4×C11—82no—
547D4×C11—82no—
548C2×C4×C11—24no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—22no—
552C2×C4×C11—22no—
553C2×C4×C11—22no—
554C2×C4×C11—22no—
555C2×C4×C11—22no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—22no—
563C2×C4×C11—21no—
564C2×C4×C11—22no—
565C2×C4×C11—41no—
566C2×C4×C11—44no—
567C2×C4×C11—44no—
568C2×C4×C11—44no—
569C2×C4×C11—44no—
570C2×C4×C11—44no—
571C2×C4×C11—42no—
572C2×C4×C11—82no—
573C2×C4×C11—82no—
574C2×C4×C11—81no—
575C2×C4×C11—82no—
576C2×C4×C11C22×D411yescharacteristic
577C2×C4×C11C22×D412yes—
578C2×C4×C11C22×D411yescharacteristic
579C2×C4×C11C22×D411yescharacteristic
580C2×C4×C11C22×D411yescharacteristic
581C2×C4×C11C22×D412yes—
582C2×C4×C11C22×D411yescharacteristic
583C2×C4×C11C2511yescharacteristic
584C8×C11—21no—
585C8×C11—21no—
586C8×C11—22no—
587C8×C11—21no—
588C8×C11—22no—
589C8×C11—21no—
590C2×2−1+4C22×C1112yescomplemented
591C2×#137C22×C1112yescomplemented
592C2×AGL(1,ℤ/8)C22×C1112yes—
593C2×#135C22×C1112yescomplemented
594C22×SD16C22×C1112yes—
595#560—22no—
596#556C22×C1111yescharacteristic
597#553C22×C1112yes—
598#550—21no—
599#550—21no—
600#550C22×C1111yescharacteristic
601#550C22×C1111yescharacteristic
602#550C22×C1111yescharacteristic, complemented
603D4×Q8—21no—
604D4×Q8C22×C1111yescharacteristic
605D4×Q8C22×C1111yescharacteristic, complemented
606#548—22no—
607#548C22×C1112yescomplemented
608#548C22×C1112yescomplemented
609#547C22×C1111yescharacteristic
610#546—21no—
611#546C22×C1112yes—
612D42C22×C1111yescharacteristic
613#542—21no—
614#538—22no—
615#537—22no—
616#537C22×C1112yes—
617#537C22×C1112yescomplemented
618#535—21no—
619#535C22×C1112yes—
620#532—21no—
621#532—21no—
622#532C22×C1111yescharacteristic
623#532C22×C1111yescharacteristic
624#532C22×C1111yescharacteristic, complemented
625#529C22×C1111yescharacteristic
626C2×C4×Q8C22×C1111yescharacteristic, complemented
627#495C22×C1112yes—
628#493C22×C1111yescharacteristic
629#492C22×C1111yescharacteristic
630#488C22×C1112yescomplemented
631#487C22×C1111yescharacteristic, complemented
632#486C22×C1111yescharacteristic, complemented
633#485C22×C1112yescomplemented
634#483C22×C1111yescharacteristic, complemented
635#483C22×C1112yescomplemented
636#482C22×C1112yescomplemented
637#481C22×C1112yescomplemented
638#481C22×C1112yescomplemented
639#480C22×C1111yescharacteristic
640#479C22×C1111yescharacteristic, complemented
641#479C22×C1111yescharacteristic, complemented
642#475C22×C1111yescharacteristic, complemented
643#475C22×C1111yescharacteristic, complemented
644#470C22×C1112yescomplemented
645#469C22×C1112yes—
646#469C22×C1112yes—
647#468C22×C1112yescomplemented
648#466C22×C1112yescomplemented
649#465C22×C1112yes—
650#465C22×C1112yes—
651#465C22×C1112yescomplemented
652#464C22×C1111yescharacteristic
653#464C22×C1111yescharacteristic
654#463C22×C1112yescomplemented
655#463C22×C1112yescomplemented
656#462C22×C1111yescharacteristic, complemented
657#461C22×C1111yescharacteristic
658#460C22×C1111yescharacteristic
659#460C22×C1111yescharacteristic
660#460C22×C1111yescharacteristic, complemented
661#459C22×C1111yescharacteristic
662#452C22×C1112yescomplemented
663#452C22×C1112yescomplemented
664#452C22×C1112yescomplemented
665#451C22×C1112yescomplemented
666#451C22×C1111yescharacteristic, complemented
667#450C22×C1112yes—
668#449C22×C1112yes—
669#449C22×C1112yes—
670#449C22×C1112yes—
671#449C22×C1112yescomplemented
672#449C22×C1112yescomplemented
673#449C22×C1112yescomplemented
674#449C22×C1112yescomplemented
675#448C22×C1111yescharacteristic
676#448C22×C1112yes—
677#448C22×C1112yes—
678#448C22×C1112yescomplemented
679#448C22×C1112yescomplemented
680#447C22×C1112yes—
681C4×Q16C22×C1111yescharacteristic, complemented
682C4×Q16C22×C1111yescharacteristic, complemented
683C4×SD16C22×C1111yescharacteristic
684C4×SD16C22×C1111yescharacteristic
685C4×SD16C22×C1112yescomplemented
686C4×SD16C22×C1112yescomplemented
687#436C22×C1111yescharacteristic
688#436C22×C1111yescharacteristic, complemented
689#436C22×C1112yescomplemented
690C8×D4C22×C1111yescharacteristic
691C8×D4C22×C1112yescomplemented
692C8×D4C22×C1111yescharacteristic, complemented
693#431C22×C1111yescharacteristic, complemented
694#431C22×C1111yescharacteristic, complemented
695#419C22×C1112yescomplemented
696#417C22×C1112yescomplemented
697#416C22×C1112yescomplemented
698C2×#103C22×C1112yescomplemented
699#408C22×C1112yescomplemented
700#408C22×C1112yescomplemented
701C22×C11—21no—
702C22×C11—22no—
703C22×C11—22no—
704C22×C11—21no—
705C22×C11—22no—
706C22×C11—22no—
707C22×C11—21no—
708C22×C11—22no—
709C22×C11—22no—
710C22×C11—42no—
711C22×C11—42no—
712C22×C11—41no—
713C22×C11—42no—
714C22×C11—42no—
715C22×C11—41no—
716C22×C11—41no—
717C22×C11—42no—
718C22×C11—42no—
719C22×C11—164no—
720C22×C11C23×D411yescharacteristic
721C4×C11—21no—
722C4×C11—21no—
723C4×C11—22no—
724C4×C11—22no—
725C4×C11—21no—
726C4×C11—22no—
727C4×C11—22no—
728C4×C11—21no—
729C4×C11—41no—
730C4×C11—41no—
731C4×C11—41no—
732C4×C11—42no—
733C4×C11—41no—
734C4×C11—41no—
735C4×C11—42no—
736C4×C11#57712yes—
737C4×C11C2×H(5,𝔽2)11yescharacteristic
738C4×C11C2×H(5,𝔽2)11yescharacteristic
7392−1+4—44no—
7402−1+4—44no—
741C2×#41—22no—
742C2×#41—22no—
743C2×#41—22no—
744C2×#41—21no—
745C2×#41—21no—
746C2×#41C23×C1112yes—
747C2×#41C23×C1112yes—
748C2×#41C23×C1112yes—
749C2×#41C23×C1112yes—
750C2×#41C23×C1112yes—
751C22×Q8—22no—
752C22×Q8C23×C1111yescharacteristic
753C22×Q8C23×C1112yes—
754C22×Q8C23×C1112yes—
755C22×D4—21no—
756C22×D4C23×C1112yes—
757#137—44no—
758AGL(1,ℤ/8)—44no—
759#135—44no—
760C2×Q16C23×C1111yescharacteristic
761C2×Q16C23×C1111yescharacteristic
762C2×Q16C23×C1112yes—
763C2×SD16—44no—
764C2×SD16C23×C1111yescharacteristic
765C2×SD16C23×C1112yes—
766C2×SD16C23×C1111yescharacteristic
767C2×SD16C23×C1112yes—
768C2×SD16C23×C1112yes—
769C2×SD16C23×C1112yes—
770C2×SD16C23×C1112yes—
771C2×SD16C23×C1112yes—
772C2×D8C23×C1112yes—
773C2×D8C23×C1112yes—
774C2×D8C23×C1112yes—
775C2×M16C23×C1112yes—
776C2×M16C23×C1112yes—
777C22×C8C23×C1112yes—
778C22×C8C23×C1112yes—
779C4⋊Q8—21no—
780C4⋊Q8—21no—
781C4⋊Q8D4×C1111yescharacteristic
782C4⋊Q8C23×C1111yescharacteristic
783C4⋊Q8C23×C1111yescharacteristic
784#127—21no—
785#127—21no—
786#127—21no—
787#127—22no—
788#127D4×C1111yescharacteristic
789#127C23×C1111yescharacteristic
790#127C23×C1111yescharacteristic
791#126—22no—
792#126—22no—
793#126—21no—
794#125C23×C1111yescharacteristic
795#124—22no—
796#124—21no—
797#124—22no—
798#124—22no—
799#124—21no—
800#124D4×C1112yes—
801#124C23×C1111yescharacteristic
802#124C23×C1112yes—
803#123—21no—
804#123—22no—
805#123—22no—
806#123—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—21no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8C23×C1111yescharacteristic
815C22⋊Q8C23×C1112yes—
816C22⋊Q8C23×C1112yes—
817C22⋊Q8C23×C1112yes—
818#121—22no—
819#121—22no—
820#121—22no—
821#121—22no—
822#121—22no—
823#121—22no—
824#121—22no—
825#121—22no—
826#121—22no—
827#121—21no—
828#121—21no—
829#121—21no—
830#121—21no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121D4×C1111yescharacteristic
836#121D4×C1111yescharacteristic
837#121D4×C1112yes—
838#121C23×C1111yescharacteristic
839#121C23×C1112yes—
840#121C23×C1112yes—
841#121C23×C1112yes—
842#121C23×C1112yes—
843#121C23×C1112yes—
844#121C23×C1112yes—
845#120—22no—
846#120—22no—
847#120—22no—
848#120—22no—
849C4×Q8—21no—
850C4×Q8—21no—
851C4×Q8—21no—
852C4×Q8C23×C1111yescharacteristic
853C4×Q8C23×C1111yescharacteristic
854C4×Q8C23×C1111yescharacteristic
855C4×Q8C23×C1111yescharacteristic
856C4×Q8C23×C1111yescharacteristic
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—22no—
864C4×D4—22no—
865C4×D4—22no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4C23×C1111yescharacteristic
870C4×D4C23×C1112yes—
871C4×D4C23×C1111yescharacteristic
872C4×D4C23×C1112yes—
873C4×D4C23×C1111yescharacteristic
874#117—21no—
875#117C23×C1112yes—
876C2×C4⋊C4—21no—
877C2×C4⋊C4C23×C1111yescharacteristic
878C2×C4⋊C4C23×C1112yes—
879C2×C22⋊C4—22no—
880C2×C42—21no—
881C2×C42C23×C1111yescharacteristic
882#107C23×C1111yescharacteristic
883#107C23×C1111yescharacteristic
884#106C23×C1111yescharacteristic
885#106C23×C1111yescharacteristic
886#106C23×C1112yes—
887#106C23×C1112yes—
888C4⋊C8C23×C1111yescharacteristic
889C4⋊C8C23×C1111yescharacteristic
890C4⋊C8C23×C1111yescharacteristic
891C4⋊C8C23×C1111yescharacteristic
892#103C23×C1111yescharacteristic
893#103C23×C1112yes—
894#103C23×C1112yes—
895#103C23×C1112yes—
896#103C23×C1111yescharacteristic
897#103C23×C1111yescharacteristic
898#103C23×C1112yes—
899#103C23×C1111yescharacteristic
900#103C23×C1112yes—
901#103C23×C1112yes—
902#103C23×C1111yescharacteristic
903#103C23×C1111yescharacteristic
904#102C23×C1112yes—
905#102C23×C1112yes—
906#102C23×C1112yes—
907#102C23×C1112yes—
908#102C23×C1111yescharacteristic
909#102C23×C1111yescharacteristic
910#102C23×C1112yes—
911#102C23×C1112yes—
912C22⋊C8C23×C1111yescharacteristic
913C22⋊C8C23×C1112yes—
914C22⋊C8C23×C1111yescharacteristic
915C22⋊C8C23×C1112yes—
916C22⋊C8C23×C1112yes—
917C22⋊C8C23×C1112yes—
918C22⋊C8C23×C1112yes—
919C4×C8C23×C1111yescharacteristic
920C4×C8C23×C1111yescharacteristic
921C4×C8C23×C1112yes—
922C2×C11—41no—
923C2×C11—42no—
924C2×C11—42no—
925C2×C11—82no—
926C2×C11—82no—
927C2×C11—81no—
928C2×C11#348411yescharacteristic
929C2×C11C2×#57711yescharacteristic
930C2×C11#358411yescharacteristic
931C24—22no—
932#41—24no—
933#41—24no—
934#41—42no—
935#41—42no—
936#41—42no—
937#41—42no—
938#41—42no—
939#41—42no—
940#41—48no—
941#41—48no—
942#41—42no—
943#41—42no—
944#41—48no—
945#41—82no—
946#41—82no—
947C2×Q8—22no—
948C2×Q8—22no—
949C2×Q8—21no—
950C2×Q8—21no—
951C2×Q8—22no—
952C2×Q8—22no—
953C2×Q8—24no—
954C2×Q8—24no—
955C2×Q8—42no—
956C2×Q8—42no—
957C2×Q8—48no—
958C2×Q8C2×D4×C1112yes—
959C2×Q8C24×C1112yes—
960C2×Q8C24×C1111yescharacteristic
961C2×Q8C24×C1111yescharacteristic
962C2×Q8C24×C1111yescharacteristic
963C2×D4—22no—
964C2×D4—22no—
965C2×D4—22no—
966C2×D4—21no—
967C2×D4—22no—
968C2×D4—22no—
969C2×D4—22no—
970C2×D4—22no—
971C2×D4—22no—
972C2×D4—22no—
973C2×D4—22no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—22no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—82no—
982C2×D4C2×D4×C1111yescharacteristic
983C2×D4C2×D4×C1111yescharacteristic
984C2×D4C2×D4×C1112yes—
985C2×D4C2×D4×C1112yes—
986C2×D4C2×D4×C1112yes—
987C2×D4C2×D4×C1112yes—
988C2×D4C24×C1112yes—
989C2×D4C24×C1111yescharacteristic
990C2×D4C24×C1112yes—
991C22×C4—21no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—21no—
995C22×C4—22no—
996C22×C4—21no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4C2×D4×C1111yescharacteristic
1003C22×C4C2×D4×C1111yescharacteristic
1004C22×C4C24×C1111yescharacteristic
1005C22×C4C24×C1112yes—
1006C22×C4C24×C1112yes—
1007Q16—22no—
1008Q16—22no—
1009Q16—42no—
1010SD16—22no—
1011SD16—24no—
1012SD16—22no—
1013SD16—24no—
1014SD16—42no—
1015SD16—42no—
1016SD16—42no—
1017SD16—42no—
1018D8—42no—
1019D8—42no—
1020D8—42no—
1021M16—42no—
1022M16—42no—
1023C2×C8—42no—
1024C2×C8—42no—
1025C2×C8C24×C1111yescharacteristic
1026C2×C8C24×C1111yescharacteristic
1027C2×C8C24×C1112yes—
1028C2×C8C24×C1112yes—
1029C2×C8C24×C1111yescharacteristic
1030C2×C8C24×C1111yescharacteristic
1031C4⋊C4—21no—
1032C4⋊C4—21no—
1033C4⋊C4—21no—
1034C4⋊C4—21no—
1035C4⋊C4—21no—
1036C4⋊C4—22no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—22no—
1043C4⋊C4—22no—
1044C4⋊C4—21no—
1045C4⋊C4—22no—
1046C4⋊C4—21no—
1047C4⋊C4C2×D4×C1111yescharacteristic
1048C4⋊C4C2×D4×C1111yescharacteristic
1049C4⋊C4C2×D4×C1112yes—
1050C4⋊C4C24×C1111yescharacteristic
1051C4⋊C4C24×C1111yescharacteristic
1052C4⋊C4C24×C1111yescharacteristic
1053C4⋊C4C24×C1112yes—
1054C4⋊C4C24×C1111yescharacteristic
1055C22⋊C4—22no—
1056C22⋊C4—22no—
1057C22⋊C4—21no—
1058C22⋊C4—22no—
1059C22⋊C4—22no—
1060C22⋊C4—21no—
1061C22⋊C4—22no—
1062C22⋊C4—21no—
1063C22⋊C4—21no—
1064C22⋊C4—22no—
1065C22⋊C4—22no—
1066C22⋊C4—22no—
1067C22⋊C4—22no—
1068C22⋊C4—22no—
1069C22⋊C4—22no—
1070C22⋊C4—22no—
1071C22⋊C4—21no—
1072C22⋊C4—22no—
1073C22⋊C4C2×D4×C1112yes—
1074C22⋊C4C2×D4×C1112yes—
1075C22⋊C4C2×D4×C1112yes—
1076C22⋊C4C2×D4×C1112yes—
1077C42—21no—
1078C42—21no—
1079C42—21no—
1080C42—21no—
1081C42—21no—
1082C42—22no—
1083C42C2×D4×C1111yescharacteristic
1084C42C2×D4×C1111yescharacteristic
1085C42C24×C1111yescharacteristic
1086C42C24×C1111yescharacteristic
1087C11#6165911yescharacteristic, direct product factor, Sylow
1088C23—21no—
1089C23—22no—
1090C23—22no—
1091C23—82no—
1092C23—82no—
1093C23—82no—
1094C23C22×D4×C1112yes—
1095C23C22×D4×C1112yes—
1096C23C22×D4×C1111yescharacteristic
1097Q8—24no—
1098Q8—21no—
1099Q8—21no—
1100Q8—21no—
1101Q8—22no—
1102Q8—22no—
1103Q8—21no—
1104Q8—42no—
1105Q8—44no—
1106Q8—44no—
1107Q8—42no—
1108Q8C11×H(5,𝔽2)12yes—
1109Q8C11×H(5,𝔽2)12yes—
1110D4—22no—
1111D4—22no—
1112D4—21no—
1113D4—22no—
1114D4—22no—
1115D4—22no—
1116D4—22no—
1117D4—21no—
1118D4—42no—
1119D4—42no—
1120D4—42no—
1121D4—42no—
1122D4—44no—
1123D4—44no—
1124D4—44no—
1125D4—42no—
1126D4—42no—
1127D4—81no—
1128D4—81no—
1129D4—82no—
1130D4—82no—
1131D4—82no—
1132D4—81no—
1133D4—82no—
1134D4—82no—
1135D4—82no—
1136D4—82no—
1137D4—82no—
1138C2×C4—24no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—22no—
1142C2×C4—22no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—22no—
1153C2×C4—21no—
1154C2×C4—22no—
1155C2×C4—41no—
1156C2×C4—44no—
1157C2×C4—44no—
1158C2×C4—44no—
1159C2×C4—44no—
1160C2×C4—44no—
1161C2×C4—42no—
1162C2×C4—82no—
1163C2×C4—82no—
1164C2×C4—81no—
1165C2×C4—82no—
1166C2×C4C22×D4×C1111yescharacteristic
1167C2×C4C22×D4×C1112yes—
1168C2×C4C22×D4×C1111yescharacteristic
1169C2×C4C22×D4×C1111yescharacteristic
1170C2×C4C22×D4×C1111yescharacteristic
1171C2×C4C22×D4×C1112yes—
1172C2×C4C22×D4×C1111yescharacteristic
1173C2×C4C25×C1111yescharacteristic
1174C8—21no—
1175C8—21no—
1176C8—22no—
1177C8—21no—
1178C8—22no—
1179C8—21no—
1180C22—21no—
1181C22—22no—
1182C22—22no—
1183C22—21no—
1184C22—22no—
1185C22—22no—
1186C22—21no—
1187C22—22no—
1188C22—22no—
1189C22—42no—
1190C22—42no—
1191C22—41no—
1192C22—41no—
1193C22—42no—
1194C22—42no—
1195C22—42no—
1196C22—42no—
1197C22—41no—
1198C22—164no—
1199C22C23×D4×C1111yescharacteristic
1200C4—22no—
1201C4—22no—
1202C4—21no—
1203C4—22no—
1204C4—22no—
1205C4—21no—
1206C4—21no—
1207C4—21no—
1208C4—42no—
1209C4—41no—
1210C4—41no—
1211C4—42no—
1212C4—41no—
1213C4—41no—
1214C4—41no—
1215C4C11×#57712yes—
1216C4C2×C11×H(5,𝔽2)11yescharacteristic
1217C4C2×C11×H(5,𝔽2)11yescharacteristic
1218C2—42no—
1219C2—41no—
1220C2—42no—
1221C2—81no—
1222C2—82no—
1223C2—82no—
1224C2C11×#348411yescharacteristic
1225C2C2×C11×#57711yescharacteristic
1226C2C11×#358411yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3546C2semidirect
2. C11×#3497C2semidirect
3. C11×#3332C2semidirect
4. C11×#3328C2semidirect
5. C11×#3326C2semidirect
6. C11×#3304C2semidirect
7. C11×#3301C2semidirect
8. C11×#3298C2semidirect
9. C11×#3287C2semidirect
10. C11×#3282C2semidirect
11. D4×C11×SD16C2semidirect
12. C11×#3278C2semidirect
13. C11×#3275C2semidirect
14. C11×#3274C2semidirect
15. C11×#3212C2semidirect
16. C11×#3207C2semidirect
17. C11×#3204C2semidirect
18. C11×#3198C2semidirect
19. C11×#3108C2semidirect
20. C11×#3103C2semidirect
21. C11×#3013C2semidirect
22. C11×#3010C2semidirect
23. C11×#2979C2semidirect
24. C2×C11×2−1+4C22semidirect
25. C2×C11×#137C22semidirect
27. C2×C11×#135C22semidirect
36. C11×#550C22semidirect
39. D4×Q8×C11C22semidirect
41. C11×#548C22semidirect
42. C11×#548C22semidirect
51. C11×#537C22semidirect
58. C11×#532C22semidirect
60. C2×C4×Q8×C11C22semidirect
64. C11×#488C22semidirect
65. C11×#487C22semidirect
66. C11×#486C22semidirect
67. C11×#485C22semidirect
68. C11×#483C22semidirect
69. C11×#483C22semidirect
70. C11×#482C22semidirect
71. C11×#481C22semidirect
72. C11×#481C22semidirect
74. C11×#479C22semidirect
75. C11×#479C22semidirect
76. C11×#475C22semidirect
77. C11×#475C22semidirect
78. C11×#470C22semidirect
81. C11×#468C22semidirect
82. C11×#466C22semidirect
85. C11×#465C22semidirect
88. C11×#463C22semidirect
89. C11×#463C22semidirect
90. C11×#462C22semidirect
94. C11×#460C22semidirect
96. C11×#452C22semidirect
97. C11×#452C22semidirect
98. C11×#452C22semidirect
99. C11×#451C22semidirect
100. C11×#451C22semidirect
105. C11×#449C22semidirect
106. C11×#449C22semidirect
107. C11×#449C22semidirect
108. C11×#449C22semidirect
112. C11×#448C22semidirect
113. C11×#448C22semidirect
115. C4×C11×Q16C22semidirect
116. C4×C11×Q16C22semidirect
119. C4×C11×SD16C22semidirect
120. C4×C11×SD16C22semidirect
122. C11×#436C22semidirect
123. C11×#436C22semidirect
125. C8×D4×C11C22semidirect
126. C8×D4×C11C22semidirect
127. C11×#431C22semidirect
128. C11×#431C22semidirect
129. C11×#419C22semidirect
130. C11×#417C22semidirect
131. C11×#416C22semidirect
132. C2×C11×#103C22semidirect
133. C11×#408C22semidirect
134. C11×#408C22semidirect
318. #61659C11direct (N × H)
475. #3546C2×C11semidirect
476. #3497C2×C11semidirect
477. #3332C2×C11semidirect
478. #3328C2×C11semidirect
479. #3326C2×C11semidirect
480. #3304C2×C11semidirect
481. #3301C2×C11semidirect
482. #3298C2×C11semidirect
483. #3287C2×C11semidirect
484. #3282C2×C11semidirect
485. D4×SD16C2×C11semidirect
486. #3278C2×C11semidirect
487. #3275C2×C11semidirect
488. #3274C2×C11semidirect
489. #3212C2×C11semidirect
490. #3207C2×C11semidirect
491. #3204C2×C11semidirect
492. #3198C2×C11semidirect
493. #3108C2×C11semidirect
494. #3103C2×C11semidirect
495. #3013C2×C11semidirect
496. #3010C2×C11semidirect
497. #2979C2×C11semidirect
590. C2×2−1+4C22×C11semidirect
591. C2×#137C22×C11semidirect
593. C2×#135C22×C11semidirect
602. #550C22×C11semidirect
605. D4×Q8C22×C11semidirect
607. #548C22×C11semidirect
608. #548C22×C11semidirect
617. #537C22×C11semidirect
624. #532C22×C11semidirect
626. C2×C4×Q8C22×C11semidirect
630. #488C22×C11semidirect
631. #487C22×C11semidirect
632. #486C22×C11semidirect
633. #485C22×C11semidirect
634. #483C22×C11semidirect
635. #483C22×C11semidirect
636. #482C22×C11semidirect
637. #481C22×C11semidirect
638. #481C22×C11semidirect
640. #479C22×C11semidirect
641. #479C22×C11semidirect
642. #475C22×C11semidirect
643. #475C22×C11semidirect
644. #470C22×C11semidirect
647. #468C22×C11semidirect
648. #466C22×C11semidirect
651. #465C22×C11semidirect
654. #463C22×C11semidirect
655. #463C22×C11semidirect
656. #462C22×C11semidirect
660. #460C22×C11semidirect
662. #452C22×C11semidirect
663. #452C22×C11semidirect
664. #452C22×C11semidirect
665. #451C22×C11semidirect
666. #451C22×C11semidirect
671. #449C22×C11semidirect
672. #449C22×C11semidirect
673. #449C22×C11semidirect
674. #449C22×C11semidirect
678. #448C22×C11semidirect
679. #448C22×C11semidirect
681. C4×Q16C22×C11semidirect
682. C4×Q16C22×C11semidirect
685. C4×SD16C22×C11semidirect
686. C4×SD16C22×C11semidirect
688. #436C22×C11semidirect
689. #436C22×C11semidirect
691. C8×D4C22×C11semidirect
692. C8×D4C22×C11semidirect
693. #431C22×C11semidirect
694. #431C22×C11semidirect
695. #419C22×C11semidirect
696. #417C22×C11semidirect
697. #416C22×C11semidirect
698. C2×#103C22×C11semidirect
699. #408C22×C11semidirect
700. #408C22×C11semidirect
1087. C11#61659direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35462
C11×#34972
C11×#33322
C11×#33282
C11×#33262
C11×#33042
C11×#33012
C11×#32982
C11×#32872
C11×#32822
D4×C11×SD162
C11×#32782
C11×#32752
C11×#32742
C11×#32122
C11×#32072
C11×#32042
C11×#31982
C11×#31082
C11×#31032
C11×#30132
C11×#30102
C11×#29792
#6165911