Finite Group Databasebeta

← C11×#61692 #14638885

Subgroups — C11×#61692 #14638885

Order 2816.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3546C211yesmaximal, characteristic, complemented
2C11×#3499C211yesmaximal, characteristic, complemented
3C11×#3330C211yesmaximal, characteristic, complemented
4C11×#3328C211yesmaximal, characteristic, complemented
5C11×#3320C212yesmaximal, complemented
6C11×#3307C212yesmaximal, complemented
7C11×#3302C211yesmaximal, characteristic, complemented
8C11×#3298C211yesmaximal, characteristic, complemented
9C11×#3284C211yesmaximal, characteristic, complemented
10D4×C11×SD16C211yesmaximal, characteristic, complemented
11C11×#3278C211yesmaximal, characteristic, complemented
12C11×#3272C211yesmaximal, characteristic, complemented
13C11×#3267C212yesmaximal, complemented
14C11×#3266C212yesmaximal, complemented
15C11×#3218C211yesmaximal, characteristic, complemented
16C11×#3206C211yesmaximal, characteristic, complemented
17C11×#3201C212yesmaximal, complemented
18C11×#3200C212yesmaximal, complemented
19C11×#3115C211yesmaximal, characteristic, complemented
20C11×#3102C211yesmaximal, characteristic, complemented
21C11×#3013C212yesmaximal, complemented
22C11×#3010C212yesmaximal, complemented
23C11×#2981C211yesmaximal, 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×#550C2211yescharacteristic
34D4×Q8×C11C2211yescharacteristic
35D4×Q8×C11C2212yescomplemented
36D4×Q8×C11C2211yescharacteristic, complemented
37C11×#547—21no—
38C11×#547—21no—
39C11×#547—22no—
40C11×#547C2211yescharacteristic
41C11×#547C2211yescharacteristic
42C11×#547C2212yescomplemented
43C11×#547C2211yescharacteristic, complemented
44C11×#546—21no—
45C11×#546C2212yes—
46D42×C11C2211yescharacteristic
47C11×#542—21no—
48C11×#538—22no—
49C11×#537C2212yes—
50C11×#536—22no—
51C11×#536C2212yescomplemented
52C11×#535—21no—
53C11×#535C2212yes—
54C11×#532—21no—
55C11×#532C2211yescharacteristic
56C11×#532C2211yescharacteristic
57C2×C11×C4⋊Q8—21no—
58C2×C11×C4⋊Q8C2211yescharacteristic, complemented
59C11×#529C2211yescharacteristic
60C4×C11×#41C2211yescharacteristic, complemented
61C11×#497C2212yes—
62C11×#492C2211yescharacteristic
63C11×#492C2211yescharacteristic
64C11×#491C2212yescomplemented
65C11×#487C2211yescharacteristic, complemented
66C11×#487C2211yescharacteristic, complemented
67C11×#485C2212yescomplemented
68C11×#485C2212yescomplemented
69C11×#485C2211yescharacteristic, complemented
70C11×#484C2212yescomplemented
71C11×#483C2212yescomplemented
72C11×#482C2211yescharacteristic
73C11×#482C2212yescomplemented
74C11×#479C2211yescharacteristic, complemented
75C11×#478C2211yescharacteristic, complemented
76C11×#475C2211yescharacteristic, complemented
77C11×#474C2211yescharacteristic, complemented
78C11×#470C2212yescomplemented
79C11×#468C2212yes—
80C11×#468C2212yes—
81C11×#468C2212yescomplemented
82C11×#467C2212yescomplemented
83C11×#465C2212yes—
84C11×#465C2212yes—
85C11×#465C2212yescomplemented
86C11×#464C2211yescharacteristic
87C11×#463C2211yescharacteristic
88C11×#462C2211yescharacteristic, complemented
89C11×#462C2211yescharacteristic, complemented
90C11×#461C2211yescharacteristic
91C11×#461C2211yescharacteristic
92C11×#461C2212yescomplemented
93C11×#461C2212yescomplemented
94C11×#460C2211yescharacteristic
95C11×#459C2211yescharacteristic
96C11×#452C2212yescomplemented
97C11×#452C2212yescomplemented
98C11×#452C2212yescomplemented
99C11×#452C2211yescharacteristic, complemented
100C11×#451C2212yescomplemented
101C11×#451C2212yescomplemented
102C11×#450C2212yes—
103C11×#450C2212yes—
104C11×#449C2211yescharacteristic
105C11×#449C2212yes—
106C11×#449C2212yes—
107C11×#449C2212yescomplemented
108C11×#449C2212yescomplemented
109C11×#448C2212yes—
110C11×#448C2212yes—
111C11×#448C2212yes—
112C11×#448C2212yescomplemented
113C11×#448C2212yescomplemented
114C11×#448C2212yescomplemented
115C11×#442C2212yescomplemented
116C11×#440C2212yescomplemented
117C4×C11×Q16C2211yescharacteristic, complemented
118C4×C11×SD16C2211yescharacteristic
119C4×C11×SD16C2211yescharacteristic, complemented
120C4×C11×D8C2211yescharacteristic
121C11×#436C2211yescharacteristic
122C11×#436C2211yescharacteristic, complemented
123C11×#435C2212yescomplemented
124C11×#435C2212yescomplemented
125C8×D4×C11C2211yescharacteristic
126C8×D4×C11C2211yescharacteristic, complemented
127C11×#432C2211yescharacteristic, 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×#41C2311yescharacteristic
143C2×C11×#41C2312yes—
144C2×C11×#41C2312yes—
145C2×C11×#41C2312yes—
146C2×C11×#41C2312yes—
147C22×Q8×C11—22no—
148C22×Q8×C11C2312yes—
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×Q16C2312yes—
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×SD16C2312yes—
169C2×C11×D8C2312yes—
170C2×C11×D8C2311yescharacteristic
171C2×C11×M16C2312yes—
172C2×C11×M16C2312yes—
173C22×C8×C11C2312yes—
174C22×C8×C11C2312yes—
175C11×C4⋊Q8—22no—
176C11×C4⋊Q8—21no—
177C11×C4⋊Q8—21no—
178C11×C4⋊Q8—22no—
179C11×C4⋊Q8—21no—
180C11×C4⋊Q8—21no—
181C11×C4⋊Q8D411yescharacteristic
182C11×C4⋊Q8C2312yes—
183C11×C4⋊Q8C2311yescharacteristic
184C11×C4⋊Q8C2311yescharacteristic
185C11×C4⋊Q8C2311yescharacteristic
186C11×#127—21no—
187C11×#127—22no—
188C11×#127D411yescharacteristic
189C11×#127C2311yescharacteristic
190C11×#126—22no—
191C11×#126—22no—
192C11×#126—21no—
193C11×#125C2311yescharacteristic
194C11×#124—22no—
195C11×#124—22no—
196C11×#124—21no—
197C11×#124—21no—
198C11×#124D412yes—
199C11×#124C2311yescharacteristic
200C11×#123—22no—
201C11×#123—22no—
202C11×#123—21no—
203C11×#123—22no—
204C11×#123—22no—
205C11×#123—22no—
206C11×#123—22no—
207C11×#123—22no—
208C11×#123—22no—
209C11×#123—22no—
210C11×C22⋊Q8—22no—
211C11×C22⋊Q8—21no—
212C11×C22⋊Q8—22no—
213C11×C22⋊Q8—22no—
214C11×C22⋊Q8—22no—
215C11×C22⋊Q8—22no—
216C11×C22⋊Q8C2311yescharacteristic
217C11×C22⋊Q8C2312yes—
218C11×C22⋊Q8C2312yes—
219C11×C22⋊Q8C2312yes—
220C11×C22⋊Q8C2312yes—
221C11×C22⋊Q8C2312yes—
222C11×#121—21no—
223C11×#121—21no—
224C11×#121—22no—
225C11×#121—22no—
226C11×#121—22no—
227C11×#121—22no—
228C11×#121—22no—
229C11×#121—21no—
230C11×#121—21no—
231C11×#121—22no—
232C11×#121—22no—
233C11×#121D411yescharacteristic
234C11×#121D411yescharacteristic
235C11×#121D412yes—
236C11×#121C2311yescharacteristic
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×C11C2311yescharacteristic
247C4×Q8×C11C2311yescharacteristic
248C4×Q8×C11C2311yescharacteristic
249C4×D4×C11—21no—
250C4×D4×C11—21no—
251C4×D4×C11—22no—
252C4×D4×C11—21no—
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11—21no—
256C4×D4×C11—22no—
257C4×D4×C11—21no—
258C4×D4×C11C2311yescharacteristic
259C4×D4×C11C2311yescharacteristic
260C4×D4×C11C2311yescharacteristic
261C4×D4×C11C2312yes—
262C4×D4×C11C2311yescharacteristic
263C4×D4×C11C2312yes—
264C4×D4×C11C2311yescharacteristic
265C11×#117—21no—
266C11×#117—21no—
267C11×#117C2311yescharacteristic
268C11×#117C2312yes—
269C2×C11×C4⋊C4—21no—
270C2×C11×C4⋊C4—21no—
271C2×C11×C4⋊C4—21no—
272C2×C11×C4⋊C4—21no—
273C2×C11×C4⋊C4—22no—
274C2×C11×C4⋊C4C2312yes—
275C2×C11×C22⋊C4—22no—
276C2×C42×C11—21no—
277C2×C42×C11C2311yescharacteristic
278C11×#107C2311yescharacteristic
279C11×#107C2311yescharacteristic
280C11×#107C2312yes—
281C11×#106C2311yescharacteristic
282C11×#106C2311yescharacteristic
283C11×#106C2312yes—
284C11×C4⋊C8C2311yescharacteristic
285C11×C4⋊C8C2311yescharacteristic
286C11×C4⋊C8C2311yescharacteristic
287C11×C4⋊C8C2311yescharacteristic
288C11×#103C2312yes—
289C11×#103C2312yes—
290C11×#103C2312yes—
291C11×#103C2312yes—
292C11×#103C2311yescharacteristic
293C11×#103C2312yes—
294C11×#103C2312yes—
295C11×#103C2312yes—
296C11×#103C2312yes—
297C11×#103C2311yescharacteristic
298C11×#103C2312yes—
299C11×#103C2311yescharacteristic
300C11×#103C2311yescharacteristic
301C11×#102C2311yescharacteristic
302C11×#102C2312yes—
303C11×#102C2311yescharacteristic
304C11×#102C2311yescharacteristic
305C11×#102C2311yescharacteristic
306C11×#102C2312yes—
307C11×#102C2312yes—
308C11×C22⋊C8C2311yescharacteristic
309C11×C22⋊C8C2311yescharacteristic
310C11×C22⋊C8C2312yes—
311C11×C22⋊C8C2312yes—
312C11×C22⋊C8C2312yes—
313C11×C22⋊C8C2312yes—
314C11×C22⋊C8C2312yes—
315C11×#97C2312yes—
316C4×C8×C11C2311yescharacteristic
317C4×C8×C11C2311yescharacteristic
318#61692C1111yesmaximal, characteristic, direct product factor, Sylow
319C24×C11—22no—
320C11×#41—22no—
321C11×#41—22no—
322C11×#41—24no—
323C11×#41—24no—
324C11×#41—42no—
325C11×#41—42no—
326C11×#41—42no—
327C11×#41—42no—
328C11×#41—48no—
329C11×#41—42no—
330C11×#41—42no—
331C11×#41—48no—
332C11×#41—48no—
333C11×#41—82no—
334C11×#41—82no—
335C2×Q8×C11—21no—
336C2×Q8×C11—22no—
337C2×Q8×C11—22no—
338C2×Q8×C11—22no—
339C2×Q8×C11—24no—
340C2×Q8×C11—24no—
341C2×Q8×C11—42no—
342C2×Q8×C11—42no—
343C2×Q8×C11—42no—
344C2×Q8×C11—42no—
345C2×Q8×C11—48no—
346C2×Q8×C11C2×D412yes—
347C2×Q8×C11C2412yes—
348C2×Q8×C11C2412yes—
349C2×Q8×C11C2411yescharacteristic
350C2×Q8×C11C2411yescharacteristic
351C2×D4×C11—21no—
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—21no—
361C2×D4×C11—21no—
362C2×D4×C11—22no—
363C2×D4×C11—42no—
364C2×D4×C11—42no—
365C2×D4×C11—82no—
366C2×D4×C11C2×D411yescharacteristic
367C2×D4×C11C2×D411yescharacteristic
368C2×D4×C11C2×D412yes—
369C2×D4×C11C2×D412yes—
370C2×D4×C11C2×D412yes—
371C2×D4×C11C2×D412yes—
372C2×D4×C11C2411yescharacteristic
373C2×D4×C11C2412yes—
374C2×D4×C11C2411yescharacteristic
375C22×C4×C11—21no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—21no—
381C22×C4×C11—21no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—21no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11C2×D411yescharacteristic
388C22×C4×C11C2×D411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2412yes—
391C22×C4×C11C2412yes—
392C11×Q16—22no—
393C11×Q16—42no—
394C11×Q16—42no—
395C11×SD16—22no—
396C11×SD16—24no—
397C11×SD16—22no—
398C11×SD16—42no—
399C11×SD16—42no—
400C11×SD16—42no—
401C11×SD16—42no—
402C11×SD16—42no—
403C11×SD16—42no—
404C11×D8—24no—
405C11×D8—22no—
406C11×M16—42no—
407C11×M16—42no—
408C2×C8×C11—42no—
409C2×C8×C11—42no—
410C2×C8×C11C2411yescharacteristic
411C2×C8×C11C2411yescharacteristic
412C2×C8×C11C2411yescharacteristic
413C2×C8×C11C2411yescharacteristic
414C2×C8×C11C2412yes—
415C2×C8×C11C2412yes—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—21no—
418C11×C4⋊C4—21no—
419C11×C4⋊C4—21no—
420C11×C4⋊C4—21no—
421C11×C4⋊C4—22no—
422C11×C4⋊C4—22no—
423C11×C4⋊C4—22no—
424C11×C4⋊C4—22no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—21no—
428C11×C4⋊C4—21no—
429C11×C4⋊C4—21no—
430C11×C4⋊C4—21no—
431C11×C4⋊C4—21no—
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—21no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—21no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—21no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—21no—
454C11×C22⋊C4—21no—
455C11×C22⋊C4—21no—
456C11×C22⋊C4—21no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—21no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4C2×D412yes—
463C11×C22⋊C4C2×D412yes—
464C11×C22⋊C4C2×D412yes—
465C11×C22⋊C4C2×D412yes—
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#3499C2×C1111yescharacteristic, complemented
477#3330C2×C1111yescharacteristic, complemented
478#3328C2×C1111yescharacteristic, complemented
479#3320C2×C1112yescomplemented
480#3307C2×C1112yescomplemented
481#3302C2×C1111yescharacteristic, complemented
482#3298C2×C1111yescharacteristic, complemented
483#3284C2×C1111yescharacteristic, complemented
484D4×SD16C2×C1111yescharacteristic, complemented
485#3278C2×C1111yescharacteristic, complemented
486#3272C2×C1111yescharacteristic, complemented
487#3267C2×C1112yescomplemented
488#3266C2×C1112yescomplemented
489#3218C2×C1111yescharacteristic, complemented
490#3206C2×C1111yescharacteristic, complemented
491#3201C2×C1112yescomplemented
492#3200C2×C1112yescomplemented
493#3115C2×C1111yescharacteristic, complemented
494#3102C2×C1111yescharacteristic, complemented
495#3013C2×C1112yescomplemented
496#3010C2×C1112yescomplemented
497#2981C2×C1111yescharacteristic, complemented
498C23×C11—21no—
499C23×C11—21no—
500C23×C11—22no—
501C23×C11—82no—
502C23×C11—82no—
503C23×C11—82no—
504C23×C11C22×D412yes—
505C23×C11C22×D412yes—
506C23×C11C22×D411yescharacteristic
507Q8×C11—21no—
508Q8×C11—21no—
509Q8×C11—22no—
510Q8×C11—22no—
511Q8×C11—22no—
512Q8×C11—22no—
513Q8×C11—21no—
514Q8×C11—42no—
515Q8×C11—44no—
516Q8×C11—44no—
517Q8×C11—44no—
518Q8×C11—42no—
519Q8×C11H(5,𝔽2)12yes—
520D4×C11—24no—
521D4×C11—22no—
522D4×C11—22no—
523D4×C11—21no—
524D4×C11—21no—
525D4×C11—22no—
526D4×C11—21no—
527D4×C11—22no—
528D4×C11—42no—
529D4×C11—42no—
530D4×C11—42no—
531D4×C11—42no—
532D4×C11—44no—
533D4×C11—44no—
534D4×C11—42no—
535D4×C11—81no—
536D4×C11—82no—
537D4×C11—81no—
538D4×C11—82no—
539D4×C11—82no—
540D4×C11—82no—
541D4×C11—82no—
542D4×C11—82no—
543D4×C11H(5,𝔽2)12yes—
544C2×C4×C11—24no—
545C2×C4×C11—21no—
546C2×C4×C11—22no—
547C2×C4×C11—22no—
548C2×C4×C11—22no—
549C2×C4×C11—22no—
550C2×C4×C11—22no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—22no—
558C2×C4×C11—21no—
559C2×C4×C11—22no—
560C2×C4×C11—22no—
561C2×C4×C11—41no—
562C2×C4×C11—44no—
563C2×C4×C11—44no—
564C2×C4×C11—44no—
565C2×C4×C11—44no—
566C2×C4×C11—42no—
567C2×C4×C11—44no—
568C2×C4×C11—42no—
569C2×C4×C11—42no—
570C2×C4×C11—82no—
571C2×C4×C11—82no—
572C2×C4×C11—82no—
573C2×C4×C11C22×D411yescharacteristic
574C2×C4×C11C22×D411yescharacteristic
575C2×C4×C11C22×D412yes—
576C2×C4×C11C22×D411yescharacteristic
577C2×C4×C11C22×D411yescharacteristic
578C2×C4×C11C22×D412yes—
579C2×C4×C11C22×D411yescharacteristic
580C2×C4×C11C2511yescharacteristic
581C8×C11—21no—
582C8×C11—21no—
583C8×C11—22no—
584C8×C11—22no—
585C8×C11—21no—
586C8×C11—21no—
587C2×2−1+4C22×C1112yescomplemented
588C2×#137C22×C1112yescomplemented
589C2×AGL(1,ℤ/8)C22×C1112yes—
590C2×#135C22×C1112yescomplemented
591C22×SD16C22×C1112yes—
592#560—22no—
593#556C22×C1111yescharacteristic
594#553C22×C1112yes—
595#550—21no—
596#550C22×C1111yescharacteristic
597D4×Q8C22×C1111yescharacteristic
598D4×Q8C22×C1112yescomplemented
599D4×Q8C22×C1111yescharacteristic, complemented
600#547—21no—
601#547—21no—
602#547—22no—
603#547C22×C1111yescharacteristic
604#547C22×C1111yescharacteristic
605#547C22×C1111yescharacteristic, complemented
606#547C22×C1112yescomplemented
607#546—21no—
608#546C22×C1112yes—
609D42C22×C1111yescharacteristic
610#542—21no—
611#538—22no—
612#537C22×C1112yes—
613#536—22no—
614#536C22×C1112yescomplemented
615#535—21no—
616#535C22×C1112yes—
617#532—21no—
618#532C22×C1111yescharacteristic
619#532C22×C1111yescharacteristic
620C2×C4⋊Q8—21no—
621C2×C4⋊Q8C22×C1111yescharacteristic, complemented
622#529C22×C1111yescharacteristic
623C4×#41C22×C1111yescharacteristic, complemented
624#497C22×C1112yes—
625#492C22×C1111yescharacteristic
626#492C22×C1111yescharacteristic
627#491C22×C1112yescomplemented
628#487C22×C1111yescharacteristic, complemented
629#487C22×C1111yescharacteristic, complemented
630#485C22×C1112yescomplemented
631#485C22×C1111yescharacteristic, complemented
632#485C22×C1112yescomplemented
633#484C22×C1112yescomplemented
634#483C22×C1112yescomplemented
635#482C22×C1111yescharacteristic
636#482C22×C1112yescomplemented
637#479C22×C1111yescharacteristic, complemented
638#478C22×C1111yescharacteristic, complemented
639#475C22×C1111yescharacteristic, complemented
640#474C22×C1111yescharacteristic, complemented
641#470C22×C1112yescomplemented
642#468C22×C1112yes—
643#468C22×C1112yes—
644#468C22×C1112yescomplemented
645#467C22×C1112yescomplemented
646#465C22×C1112yes—
647#465C22×C1112yes—
648#465C22×C1112yescomplemented
649#464C22×C1111yescharacteristic
650#463C22×C1111yescharacteristic
651#462C22×C1111yescharacteristic, complemented
652#462C22×C1111yescharacteristic, complemented
653#461C22×C1111yescharacteristic
654#461C22×C1111yescharacteristic
655#461C22×C1112yescomplemented
656#461C22×C1112yescomplemented
657#460C22×C1111yescharacteristic
658#459C22×C1111yescharacteristic
659#452C22×C1111yescharacteristic, complemented
660#452C22×C1112yescomplemented
661#452C22×C1112yescomplemented
662#452C22×C1112yescomplemented
663#451C22×C1112yescomplemented
664#451C22×C1112yescomplemented
665#450C22×C1112yes—
666#450C22×C1112yes—
667#449C22×C1112yes—
668#449C22×C1111yescharacteristic
669#449C22×C1112yes—
670#449C22×C1112yescomplemented
671#449C22×C1112yescomplemented
672#448C22×C1112yes—
673#448C22×C1112yes—
674#448C22×C1112yes—
675#448C22×C1112yescomplemented
676#448C22×C1112yescomplemented
677#448C22×C1112yescomplemented
678#442C22×C1112yescomplemented
679#440C22×C1112yescomplemented
680C4×Q16C22×C1111yescharacteristic, complemented
681C4×SD16C22×C1111yescharacteristic
682C4×SD16C22×C1111yescharacteristic, complemented
683C4×D8C22×C1111yescharacteristic
684#436C22×C1111yescharacteristic
685#436C22×C1111yescharacteristic, complemented
686#435C22×C1112yescomplemented
687#435C22×C1112yescomplemented
688C8×D4C22×C1111yescharacteristic
689C8×D4C22×C1111yescharacteristic, complemented
690#432C22×C1111yescharacteristic, complemented
691#431C22×C1111yescharacteristic, complemented
692#419C22×C1112yescomplemented
693#417C22×C1112yescomplemented
694#416C22×C1112yescomplemented
695C2×#103C22×C1112yescomplemented
696#408C22×C1112yescomplemented
697#408C22×C1112yescomplemented
698C22×C11—21no—
699C22×C11—22no—
700C22×C11—22no—
701C22×C11—21no—
702C22×C11—22no—
703C22×C11—22no—
704C22×C11—22no—
705C22×C11—21no—
706C22×C11—22no—
707C22×C11—22no—
708C22×C11—41no—
709C22×C11—41no—
710C22×C11—42no—
711C22×C11—41no—
712C22×C11—42no—
713C22×C11—41no—
714C22×C11—41no—
715C22×C11—42no—
716C22×C11—164no—
717C22×C11C23×D411yescharacteristic
718C4×C11—21no—
719C4×C11—21no—
720C4×C11—21no—
721C4×C11—22no—
722C4×C11—22no—
723C4×C11—22no—
724C4×C11—21no—
725C4×C11—41no—
726C4×C11—41no—
727C4×C11—42no—
728C4×C11—42no—
729C4×C11—41no—
730C4×C11—41no—
731C4×C11—41no—
732C4×C11—42no—
733C4×C11#57712yes—
734C4×C11C2×H(5,𝔽2)11yescharacteristic
735C4×C11C2×H(5,𝔽2)11yescharacteristic
7362−1+4—44no—
7372−1+4—44no—
738C2×#41—22no—
739C2×#41—22no—
740C2×#41—22no—
741C2×#41—21no—
742C2×#41—21no—
743C2×#41C23×C1111yescharacteristic
744C2×#41C23×C1112yes—
745C2×#41C23×C1112yes—
746C2×#41C23×C1112yes—
747C2×#41C23×C1112yes—
748C22×Q8—22no—
749C22×Q8C23×C1112yes—
750C22×Q8C23×C1112yes—
751C22×Q8C23×C1112yes—
752C22×D4—21no—
753C22×D4C23×C1112yes—
754#137—44no—
755AGL(1,ℤ/8)—44no—
756#135—44no—
757C2×Q16C23×C1111yescharacteristic
758C2×Q16C23×C1112yes—
759C2×Q16C23×C1112yes—
760C2×SD16—44no—
761C2×SD16C23×C1111yescharacteristic
762C2×SD16C23×C1112yes—
763C2×SD16C23×C1111yescharacteristic
764C2×SD16C23×C1112yes—
765C2×SD16C23×C1112yes—
766C2×SD16C23×C1112yes—
767C2×SD16C23×C1112yes—
768C2×SD16C23×C1112yes—
769C2×SD16C23×C1112yes—
770C2×D8C23×C1112yes—
771C2×D8C23×C1111yescharacteristic
772C2×M16C23×C1112yes—
773C2×M16C23×C1112yes—
774C22×C8C23×C1112yes—
775C22×C8C23×C1112yes—
776C4⋊Q8—22no—
777C4⋊Q8—21no—
778C4⋊Q8—21no—
779C4⋊Q8—22no—
780C4⋊Q8—21no—
781C4⋊Q8—21no—
782C4⋊Q8D4×C1111yescharacteristic
783C4⋊Q8C23×C1111yescharacteristic
784C4⋊Q8C23×C1111yescharacteristic
785C4⋊Q8C23×C1112yes—
786C4⋊Q8C23×C1111yescharacteristic
787#127—21no—
788#127—22no—
789#127D4×C1111yescharacteristic
790#127C23×C1111yescharacteristic
791#126—22no—
792#126—22no—
793#126—21no—
794#125C23×C1111yescharacteristic
795#124—22no—
796#124—22no—
797#124—21no—
798#124—21no—
799#124D4×C1112yes—
800#124C23×C1111yescharacteristic
801#123—22no—
802#123—22no—
803#123—21no—
804#123—22no—
805#123—22no—
806#123—22no—
807#123—22no—
808#123—22no—
809#123—22no—
810#123—22no—
811C22⋊Q8—22no—
812C22⋊Q8—21no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8C23×C1111yescharacteristic
818C22⋊Q8C23×C1112yes—
819C22⋊Q8C23×C1112yes—
820C22⋊Q8C23×C1112yes—
821C22⋊Q8C23×C1112yes—
822C22⋊Q8C23×C1112yes—
823#121—21no—
824#121—21no—
825#121—22no—
826#121—22no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—21no—
831#121—21no—
832#121—22no—
833#121—22no—
834#121D4×C1111yescharacteristic
835#121D4×C1111yescharacteristic
836#121D4×C1112yes—
837#121C23×C1111yescharacteristic
838#121C23×C1112yes—
839#121C23×C1112yes—
840#121C23×C1112yes—
841#121C23×C1112yes—
842#120—22no—
843#120—22no—
844#120—22no—
845#120—22no—
846C4×Q8—21no—
847C4×Q8C23×C1111yescharacteristic
848C4×Q8C23×C1111yescharacteristic
849C4×Q8C23×C1111yescharacteristic
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—22no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—22no—
858C4×D4—21no—
859C4×D4C23×C1111yescharacteristic
860C4×D4C23×C1111yescharacteristic
861C4×D4C23×C1111yescharacteristic
862C4×D4C23×C1112yes—
863C4×D4C23×C1111yescharacteristic
864C4×D4C23×C1112yes—
865C4×D4C23×C1111yescharacteristic
866#117—21no—
867#117—21no—
868#117C23×C1111yescharacteristic
869#117C23×C1112yes—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—22no—
875C2×C4⋊C4C23×C1112yes—
876C2×C22⋊C4—22no—
877C2×C42—21no—
878C2×C42C23×C1111yescharacteristic
879#107C23×C1111yescharacteristic
880#107C23×C1111yescharacteristic
881#107C23×C1112yes—
882#106C23×C1111yescharacteristic
883#106C23×C1111yescharacteristic
884#106C23×C1112yes—
885C4⋊C8C23×C1111yescharacteristic
886C4⋊C8C23×C1111yescharacteristic
887C4⋊C8C23×C1111yescharacteristic
888C4⋊C8C23×C1111yescharacteristic
889#103C23×C1111yescharacteristic
890#103C23×C1112yes—
891#103C23×C1112yes—
892#103C23×C1112yes—
893#103C23×C1112yes—
894#103C23×C1112yes—
895#103C23×C1112yes—
896#103C23×C1112yes—
897#103C23×C1111yescharacteristic
898#103C23×C1112yes—
899#103C23×C1112yes—
900#103C23×C1111yescharacteristic
901#103C23×C1111yescharacteristic
902#102C23×C1111yescharacteristic
903#102C23×C1112yes—
904#102C23×C1111yescharacteristic
905#102C23×C1111yescharacteristic
906#102C23×C1111yescharacteristic
907#102C23×C1112yes—
908#102C23×C1112yes—
909C22⋊C8C23×C1111yescharacteristic
910C22⋊C8C23×C1111yescharacteristic
911C22⋊C8C23×C1112yes—
912C22⋊C8C23×C1112yes—
913C22⋊C8C23×C1112yes—
914C22⋊C8C23×C1112yes—
915C22⋊C8C23×C1112yes—
916#97C23×C1112yes—
917C4×C8C23×C1111yescharacteristic
918C4×C8C23×C1111yescharacteristic
919C2×C11—41no—
920C2×C11—42no—
921C2×C11—42no—
922C2×C11—42no—
923C2×C11—82no—
924C2×C11—81no—
925C2×C11#348411yescharacteristic
926C2×C11C2×#57711yescharacteristic
927C2×C11#358611yescharacteristic
928C24—22no—
929#41—22no—
930#41—22no—
931#41—24no—
932#41—24no—
933#41—42no—
934#41—42no—
935#41—42no—
936#41—42no—
937#41—48no—
938#41—42no—
939#41—42no—
940#41—48no—
941#41—48no—
942#41—82no—
943#41—82no—
944C2×Q8—21no—
945C2×Q8—22no—
946C2×Q8—22no—
947C2×Q8—22no—
948C2×Q8—24no—
949C2×Q8—24no—
950C2×Q8—42no—
951C2×Q8—42no—
952C2×Q8—42no—
953C2×Q8—42no—
954C2×Q8—48no—
955C2×Q8C2×D4×C1112yes—
956C2×Q8C24×C1112yes—
957C2×Q8C24×C1112yes—
958C2×Q8C24×C1111yescharacteristic
959C2×Q8C24×C1111yescharacteristic
960C2×D4—21no—
961C2×D4—22no—
962C2×D4—22no—
963C2×D4—21no—
964C2×D4—22no—
965C2×D4—22no—
966C2×D4—22no—
967C2×D4—22no—
968C2×D4—22no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—22no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—82no—
975C2×D4C2×D4×C1111yescharacteristic
976C2×D4C2×D4×C1111yescharacteristic
977C2×D4C2×D4×C1112yes—
978C2×D4C2×D4×C1112yes—
979C2×D4C2×D4×C1112yes—
980C2×D4C2×D4×C1112yes—
981C2×D4C24×C1111yescharacteristic
982C2×D4C24×C1112yes—
983C2×D4C24×C1111yescharacteristic
984C22×C4—21no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—21no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4C2×D4×C1111yescharacteristic
997C22×C4C2×D4×C1111yescharacteristic
998C22×C4C24×C1111yescharacteristic
999C22×C4C24×C1112yes—
1000C22×C4C24×C1112yes—
1001Q16—22no—
1002Q16—42no—
1003Q16—42no—
1004SD16—22no—
1005SD16—24no—
1006SD16—22no—
1007SD16—42no—
1008SD16—42no—
1009SD16—42no—
1010SD16—42no—
1011SD16—42no—
1012SD16—42no—
1013D8—24no—
1014D8—22no—
1015M16—42no—
1016M16—42no—
1017C2×C8—42no—
1018C2×C8—42no—
1019C2×C8C24×C1111yescharacteristic
1020C2×C8C24×C1111yescharacteristic
1021C2×C8C24×C1111yescharacteristic
1022C2×C8C24×C1111yescharacteristic
1023C2×C8C24×C1112yes—
1024C2×C8C24×C1112yes—
1025C4⋊C4—22no—
1026C4⋊C4—21no—
1027C4⋊C4—21no—
1028C4⋊C4—21no—
1029C4⋊C4—21no—
1030C4⋊C4—22no—
1031C4⋊C4—22no—
1032C4⋊C4—22no—
1033C4⋊C4—22no—
1034C4⋊C4—22no—
1035C4⋊C4—22no—
1036C4⋊C4—21no—
1037C4⋊C4—21no—
1038C4⋊C4—21no—
1039C4⋊C4—21no—
1040C4⋊C4—21no—
1041C4⋊C4—21no—
1042C4⋊C4—22no—
1043C4⋊C4—21no—
1044C4⋊C4C2×D4×C1111yescharacteristic
1045C4⋊C4C2×D4×C1111yescharacteristic
1046C4⋊C4C2×D4×C1112yes—
1047C4⋊C4C24×C1111yescharacteristic
1048C4⋊C4C24×C1111yescharacteristic
1049C4⋊C4C24×C1111yescharacteristic
1050C4⋊C4C24×C1112yes—
1051C4⋊C4C24×C1111yescharacteristic
1052C22⋊C4—22no—
1053C22⋊C4—21no—
1054C22⋊C4—22no—
1055C22⋊C4—21no—
1056C22⋊C4—22no—
1057C22⋊C4—22no—
1058C22⋊C4—22no—
1059C22⋊C4—22no—
1060C22⋊C4—21no—
1061C22⋊C4—22no—
1062C22⋊C4—21no—
1063C22⋊C4—21no—
1064C22⋊C4—21no—
1065C22⋊C4—21no—
1066C22⋊C4—22no—
1067C22⋊C4—22no—
1068C22⋊C4—22no—
1069C22⋊C4—21no—
1070C22⋊C4—22no—
1071C22⋊C4C2×D4×C1112yes—
1072C22⋊C4C2×D4×C1112yes—
1073C22⋊C4C2×D4×C1112yes—
1074C22⋊C4C2×D4×C1112yes—
1075C42—21no—
1076C42—21no—
1077C42—21no—
1078C42—21no—
1079C42—22no—
1080C42C2×D4×C1111yescharacteristic
1081C42C2×D4×C1111yescharacteristic
1082C42C24×C1111yescharacteristic
1083C42C24×C1111yescharacteristic
1084C11#6169211yescharacteristic, direct product factor, Sylow
1085C23—21no—
1086C23—21no—
1087C23—22no—
1088C23—82no—
1089C23—82no—
1090C23—82no—
1091C23C22×D4×C1112yes—
1092C23C22×D4×C1112yes—
1093C23C22×D4×C1111yescharacteristic
1094Q8—21no—
1095Q8—21no—
1096Q8—22no—
1097Q8—22no—
1098Q8—22no—
1099Q8—22no—
1100Q8—21no—
1101Q8—42no—
1102Q8—44no—
1103Q8—44no—
1104Q8—44no—
1105Q8—42no—
1106Q8C11×H(5,𝔽2)12yes—
1107D4—24no—
1108D4—22no—
1109D4—22no—
1110D4—21no—
1111D4—21no—
1112D4—22no—
1113D4—21no—
1114D4—22no—
1115D4—42no—
1116D4—42no—
1117D4—42no—
1118D4—42no—
1119D4—44no—
1120D4—44no—
1121D4—42no—
1122D4—81no—
1123D4—82no—
1124D4—81no—
1125D4—82no—
1126D4—82no—
1127D4—82no—
1128D4—82no—
1129D4—82no—
1130D4C11×H(5,𝔽2)12yes—
1131C2×C4—24no—
1132C2×C4—21no—
1133C2×C4—22no—
1134C2×C4—22no—
1135C2×C4—22no—
1136C2×C4—22no—
1137C2×C4—22no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—22no—
1145C2×C4—21no—
1146C2×C4—22no—
1147C2×C4—22no—
1148C2×C4—41no—
1149C2×C4—44no—
1150C2×C4—44no—
1151C2×C4—44no—
1152C2×C4—44no—
1153C2×C4—42no—
1154C2×C4—44no—
1155C2×C4—42no—
1156C2×C4—42no—
1157C2×C4—82no—
1158C2×C4—82no—
1159C2×C4—82no—
1160C2×C4C22×D4×C1111yescharacteristic
1161C2×C4C22×D4×C1111yescharacteristic
1162C2×C4C22×D4×C1112yes—
1163C2×C4C22×D4×C1111yescharacteristic
1164C2×C4C22×D4×C1111yescharacteristic
1165C2×C4C22×D4×C1112yes—
1166C2×C4C22×D4×C1111yescharacteristic
1167C2×C4C25×C1111yescharacteristic
1168C8—21no—
1169C8—21no—
1170C8—22no—
1171C8—22no—
1172C8—21no—
1173C8—21no—
1174C22—21no—
1175C22—22no—
1176C22—22no—
1177C22—22no—
1178C22—21no—
1179C22—22no—
1180C22—22no—
1181C22—21no—
1182C22—22no—
1183C22—22no—
1184C22—41no—
1185C22—41no—
1186C22—42no—
1187C22—41no—
1188C22—41no—
1189C22—42no—
1190C22—42no—
1191C22—41no—
1192C22—164no—
1193C22C23×D4×C1111yescharacteristic
1194C4—21no—
1195C4—22no—
1196C4—22no—
1197C4—22no—
1198C4—21no—
1199C4—21no—
1200C4—21no—
1201C4—42no—
1202C4—42no—
1203C4—41no—
1204C4—41no—
1205C4—41no—
1206C4—42no—
1207C4—41no—
1208C4—41no—
1209C4C11×#57712yes—
1210C4C2×C11×H(5,𝔽2)11yescharacteristic
1211C4C2×C11×H(5,𝔽2)11yescharacteristic
1212C2—42no—
1213C2—41no—
1214C2—42no—
1215C2—42no—
1216C2—81no—
1217C2—82no—
1218C2C11×#348411yescharacteristic
1219C2C2×C11×#57711yescharacteristic
1220C2C11×#358611yescharacteristic
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×#3499C2semidirect
3. C11×#3330C2semidirect
4. C11×#3328C2semidirect
5. C11×#3320C2semidirect
6. C11×#3307C2semidirect
7. C11×#3302C2semidirect
8. C11×#3298C2semidirect
9. C11×#3284C2semidirect
10. D4×C11×SD16C2semidirect
11. C11×#3278C2semidirect
12. C11×#3272C2semidirect
13. C11×#3267C2semidirect
14. C11×#3266C2semidirect
15. C11×#3218C2semidirect
16. C11×#3206C2semidirect
17. C11×#3201C2semidirect
18. C11×#3200C2semidirect
19. C11×#3115C2semidirect
20. C11×#3102C2semidirect
21. C11×#3013C2semidirect
22. C11×#3010C2semidirect
23. C11×#2981C2semidirect
24. C2×C11×2−1+4C22semidirect
25. C2×C11×#137C22semidirect
27. C2×C11×#135C22semidirect
35. D4×Q8×C11C22semidirect
36. D4×Q8×C11C22semidirect
42. C11×#547C22semidirect
43. C11×#547C22semidirect
51. C11×#536C22semidirect
58. C2×C11×C4⋊Q8C22semidirect
60. C4×C11×#41C22semidirect
64. C11×#491C22semidirect
65. C11×#487C22semidirect
66. C11×#487C22semidirect
67. C11×#485C22semidirect
68. C11×#485C22semidirect
69. C11×#485C22semidirect
70. C11×#484C22semidirect
71. C11×#483C22semidirect
73. C11×#482C22semidirect
74. C11×#479C22semidirect
75. C11×#478C22semidirect
76. C11×#475C22semidirect
77. C11×#474C22semidirect
78. C11×#470C22semidirect
81. C11×#468C22semidirect
82. C11×#467C22semidirect
85. C11×#465C22semidirect
88. C11×#462C22semidirect
89. C11×#462C22semidirect
92. C11×#461C22semidirect
93. C11×#461C22semidirect
96. C11×#452C22semidirect
97. C11×#452C22semidirect
98. C11×#452C22semidirect
99. C11×#452C22semidirect
100. C11×#451C22semidirect
101. C11×#451C22semidirect
107. C11×#449C22semidirect
108. C11×#449C22semidirect
112. C11×#448C22semidirect
113. C11×#448C22semidirect
114. C11×#448C22semidirect
115. C11×#442C22semidirect
116. C11×#440C22semidirect
117. C4×C11×Q16C22semidirect
119. C4×C11×SD16C22semidirect
122. C11×#436C22semidirect
123. C11×#435C22semidirect
124. C11×#435C22semidirect
126. C8×D4×C11C22semidirect
127. C11×#432C22semidirect
128. C11×#431C22semidirect
129. C11×#419C22semidirect
130. C11×#417C22semidirect
131. C11×#416C22semidirect
132. C2×C11×#103C22semidirect
133. C11×#408C22semidirect
134. C11×#408C22semidirect
318. #61692C11direct (N × H)
475. #3546C2×C11semidirect
476. #3499C2×C11semidirect
477. #3330C2×C11semidirect
478. #3328C2×C11semidirect
479. #3320C2×C11semidirect
480. #3307C2×C11semidirect
481. #3302C2×C11semidirect
482. #3298C2×C11semidirect
483. #3284C2×C11semidirect
484. D4×SD16C2×C11semidirect
485. #3278C2×C11semidirect
486. #3272C2×C11semidirect
487. #3267C2×C11semidirect
488. #3266C2×C11semidirect
489. #3218C2×C11semidirect
490. #3206C2×C11semidirect
491. #3201C2×C11semidirect
492. #3200C2×C11semidirect
493. #3115C2×C11semidirect
494. #3102C2×C11semidirect
495. #3013C2×C11semidirect
496. #3010C2×C11semidirect
497. #2981C2×C11semidirect
587. C2×2−1+4C22×C11semidirect
588. C2×#137C22×C11semidirect
590. C2×#135C22×C11semidirect
598. D4×Q8C22×C11semidirect
599. D4×Q8C22×C11semidirect
605. #547C22×C11semidirect
606. #547C22×C11semidirect
614. #536C22×C11semidirect
621. C2×C4⋊Q8C22×C11semidirect
623. C4×#41C22×C11semidirect
627. #491C22×C11semidirect
628. #487C22×C11semidirect
629. #487C22×C11semidirect
630. #485C22×C11semidirect
631. #485C22×C11semidirect
632. #485C22×C11semidirect
633. #484C22×C11semidirect
634. #483C22×C11semidirect
636. #482C22×C11semidirect
637. #479C22×C11semidirect
638. #478C22×C11semidirect
639. #475C22×C11semidirect
640. #474C22×C11semidirect
641. #470C22×C11semidirect
644. #468C22×C11semidirect
645. #467C22×C11semidirect
648. #465C22×C11semidirect
651. #462C22×C11semidirect
652. #462C22×C11semidirect
655. #461C22×C11semidirect
656. #461C22×C11semidirect
659. #452C22×C11semidirect
660. #452C22×C11semidirect
661. #452C22×C11semidirect
662. #452C22×C11semidirect
663. #451C22×C11semidirect
664. #451C22×C11semidirect
670. #449C22×C11semidirect
671. #449C22×C11semidirect
675. #448C22×C11semidirect
676. #448C22×C11semidirect
677. #448C22×C11semidirect
678. #442C22×C11semidirect
679. #440C22×C11semidirect
680. C4×Q16C22×C11semidirect
682. C4×SD16C22×C11semidirect
685. #436C22×C11semidirect
686. #435C22×C11semidirect
687. #435C22×C11semidirect
689. C8×D4C22×C11semidirect
690. #432C22×C11semidirect
691. #431C22×C11semidirect
692. #419C22×C11semidirect
693. #417C22×C11semidirect
694. #416C22×C11semidirect
695. C2×#103C22×C11semidirect
696. #408C22×C11semidirect
697. #408C22×C11semidirect
1084. C11#61692direct (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×#34992
C11×#33302
C11×#33282
C11×#33202
C11×#33072
C11×#33022
C11×#32982
C11×#32842
D4×C11×SD162
C11×#32782
C11×#32722
C11×#32672
C11×#32662
C11×#32182
C11×#32062
C11×#32012
C11×#32002
C11×#31152
C11×#31022
C11×#30132
C11×#30102
C11×#29812
#6169211