Finite Group Databasebeta

← C11×#61967 #14639160

Subgroups — C11×#61967 #14639160

Order 2816.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3511C211yesmaximal, characteristic, complemented
2C11×#3475C211yesmaximal, characteristic, complemented
3C11×#3402C212yesmaximal, complemented
4C11×#3376C212yesmaximal, complemented
5C11×#3327C212yesmaximal, complemented
6C11×#3321C212yesmaximal, complemented
7C11×#3315C212yesmaximal, complemented
8C11×#3275C212yesmaximal, complemented
9C11×#3269C212yesmaximal, complemented
10C11×#3267C212yesmaximal, complemented
11C11×#3255C211yesmaximal, characteristic, complemented
12C11×#3251C211yesmaximal, characteristic, complemented
13C11×#3248C211yesmaximal, characteristic, complemented
14C11×#3218C211yesmaximal, characteristic, complemented
15C11×#3216C211yesmaximal, characteristic, complemented
16C11×#3212C211yesmaximal, characteristic, complemented
17C11×#3115C211yesmaximal, characteristic, complemented
18C11×#3110C211yesmaximal, characteristic, complemented
19C11×#3107C211yesmaximal, characteristic, complemented
20C11×#3039C211yesmaximal, characteristic, complemented
21C11×#3036C211yesmaximal, characteristic, complemented
22C11×#3035C211yesmaximal, characteristic, complemented
23C11×#2989C211yesmaximal, characteristic, complemented
24C2×C11×#137C2212yes—
25C2×C11×AGL(1,ℤ/8)C2212yes—
26C2×C11×#135C2212yes—
27C11×#556C2211yescharacteristic
28C11×#556C2212yescomplemented
29C11×#555—21no—
30C11×#555C2211yescharacteristic
31C11×#554—21no—
32C11×#554C2211yescharacteristic
33C11×#553—21no—
34C11×#553—21no—
35C11×#553—21no—
36C11×#552—21no—
37C11×#552C2211yescharacteristic
38C11×#552C2211yescharacteristic
39C11×#551—21no—
40C11×#551—21no—
41C11×#548C2212yes—
42C11×#548C2212yescomplemented
43C11×#547C2211yescharacteristic
44C11×#547C2212yes—
45C11×#546C2211yescharacteristic
46C11×#546C2211yescharacteristic
47C11×#542—21no—
48C11×#542—21no—
49C11×#537—21no—
50C11×#533C2211yescharacteristic
51C11×#533C2211yescharacteristic
52C11×#533C2211yescharacteristic, complemented
53C11×#532C2211yescharacteristic
54C11×#532C2211yescharacteristic, complemented
55C11×#532C2211yescharacteristic, complemented
56C2×C11×C4⋊Q8C2211yescharacteristic, complemented
57C11×#529—21no—
58C11×#529—21no—
59C11×#529C2211yescharacteristic
60C11×#529C2211yescharacteristic
61C11×#525—21no—
62C11×#520—21no—
63C4×C11×#41C2211yescharacteristic
64C4×C11×#41C2211yescharacteristic
65C4×C11×#41C2211yescharacteristic
66C2×C4×D4×C11C2211yescharacteristic
67C2×C11×#117—21no—
68C11×#497C2212yes—
69C11×#497C2212yescomplemented
70C11×#495C2212yes—
71C11×#491C2212yescomplemented
72C11×#489C2212yescomplemented
73C11×#488C2212yescomplemented
74C11×#485C2212yescomplemented
75C11×#484C2212yes—
76C11×#482C2212yescomplemented
77C11×#479C2212yescomplemented
78C11×#478C2212yescomplemented
79C11×#475C2211yescharacteristic, complemented
80C11×#475C2211yescharacteristic, complemented
81C11×#475C2212yescomplemented
82C11×#474C2211yescharacteristic
83C11×#474C2211yescharacteristic
84C11×#470C2212yes—
85C11×#470C2212yes—
86C11×#469C2212yes—
87C11×#468C2212yescomplemented
88C11×#467C2212yescomplemented
89C11×#465C2212yes—
90C11×#464C2212yes—
91C11×#464C2212yescomplemented
92C11×#463C2212yes—
93C11×#463C2212yes—
94C11×#463C2212yes—
95C11×#463C2212yes—
96C11×#462C2212yescomplemented
97C11×#462C2212yescomplemented
98C11×#462C2211yescharacteristic, complemented
99C11×#462C2211yescharacteristic, complemented
100C11×#462C2211yescharacteristic, complemented
101C11×#462C2211yescharacteristic, complemented
102C11×#461C2211yescharacteristic
103C11×#461C2211yescharacteristic
104C11×#461C2212yes—
105C11×#461C2211yescharacteristic
106C11×#461C2211yescharacteristic
107C11×#460C2211yescharacteristic, complemented
108C11×#460C2211yescharacteristic, complemented
109C11×#459C2211yescharacteristic
110C11×#459C2211yescharacteristic
111C11×#452C2212yes—
112C11×#452C2212yes—
113C11×#452C2212yes—
114C11×#452C2212yescomplemented
115C11×#451C2212yescomplemented
116C11×#450C2212yes—
117C11×#449C2212yes—
118C11×#449C2212yes—
119C11×#448C2212yes—
120C11×#446C2212yescomplemented
121C11×#442C2212yes—
122C11×#440C2212yes—
123C11×#440C2212yes—
124C11×#440C2212yescomplemented
125C4×C11×Q16C2212yescomplemented
126C4×C11×SD16C2212yes—
127C11×#436C2212yes—
128C11×#435C2212yes—
129C11×#435C2212yescomplemented
130C11×#432C2211yescharacteristic
131C11×#432C2211yescharacteristic, complemented
132C11×#431C2211yescharacteristic, complemented
133C11×#423C2211yescharacteristic
134C11×#423C2211yescharacteristic, complemented
135C2×C11×C4⋊C8C2211yescharacteristic, complemented
136C11×#419C2212yescomplemented
137C11×#417C2212yes—
138C11×#416C2212yescomplemented
139C2×C11×#41—21no—
140C2×C11×#41D411yescharacteristic
141C2×C11×#41C2311yescharacteristic
142C2×C11×#41C2311yescharacteristic
143C2×C11×#41C2312yes—
144C2×C11×#41C2312yes—
145C22×Q8×C11C2312yes—
146C22×D4×C11C2311yescharacteristic
147C23×C4×C11—21no—
148C11×#137—44no—
149C11×AGL(1,ℤ/8)—44no—
150C11×#135—44no—
151C2×C11×Q16C2312yes—
152C2×C11×Q16C2312yes—
153C2×C11×Q16C2312yes—
154C2×C11×Q16C2312yes—
155C2×C11×SD16C2312yes—
156C2×C11×SD16C2312yes—
157C2×C11×SD16C2312yes—
158C2×C11×SD16C2312yes—
159C2×C11×SD16C2312yes—
160C2×C11×SD16C2312yes—
161C2×C11×D8C2312yes—
162C2×C11×D8C2312yes—
163C2×C11×M16C2312yes—
164C2×C11×M16C2312yes—
165C22×C8×C11C2312yes—
166C11×C4⋊Q8—21no—
167C11×C4⋊Q8—21no—
168C11×C4⋊Q8C2312yes—
169C11×C4⋊Q8C2311yescharacteristic
170C11×C4⋊Q8C2311yescharacteristic
171C11×C4⋊Q8C2311yescharacteristic
172C11×C4⋊Q8C2311yescharacteristic
173C11×C4⋊Q8C2311yescharacteristic
174C11×#127C2311yescharacteristic
175C11×#126—21no—
176C11×#126—21no—
177C11×#126—22no—
178C11×#126—22no—
179C11×#126—21no—
180C11×#126—21no—
181C11×#126—21no—
182C11×#126—21no—
183C11×#125—21no—
184C11×#125—21no—
185C11×#125—21no—
186C11×#125—21no—
187C11×#125—21no—
188C11×#125C2311yescharacteristic
189C11×#125C2311yescharacteristic
190C11×#124—21no—
191C11×#124—21no—
192C11×#124—22no—
193C11×#124—22no—
194C11×#124—21no—
195C11×#124C2312yes—
196C11×#124C2311yescharacteristic
197C11×#124C2312yes—
198C11×#124C2311yescharacteristic
199C11×#123—21no—
200C11×#123—21no—
201C11×#123—21no—
202C11×#123—21no—
203C11×#123—21no—
204C11×#123—21no—
205C11×#123—21no—
206C11×#123—21no—
207C11×#123—22no—
208C11×#123—22no—
209C11×C22⋊Q8—21no—
210C11×C22⋊Q8—21no—
211C11×C22⋊Q8—22no—
212C11×C22⋊Q8—21no—
213C11×C22⋊Q8—21no—
214C11×C22⋊Q8—21no—
215C11×C22⋊Q8—21no—
216C11×C22⋊Q8—21no—
217C11×C22⋊Q8—22no—
218C11×C22⋊Q8—22no—
219C11×C22⋊Q8C2311yescharacteristic
220C11×C22⋊Q8C2311yescharacteristic
221C11×C22⋊Q8C2311yescharacteristic
222C11×C22⋊Q8C2311yescharacteristic
223C11×C22⋊Q8C2312yes—
224C11×C22⋊Q8C2312yes—
225C11×#121—21no—
226C11×#121—21no—
227C11×#121—22no—
228C11×#121—22no—
229C11×#121—22no—
230C11×#121—21no—
231C11×#121—21no—
232C11×#121—21no—
233C11×#121—21no—
234C11×#121—21no—
235C11×#121—21no—
236C11×#121—21no—
237C11×#121C2311yescharacteristic
238C11×#121C2311yescharacteristic
239C11×#121C2312yes—
240C11×#120—21no—
241C11×#120—21no—
242C4×Q8×C11—21no—
243C4×Q8×C11—21no—
244C4×Q8×C11—21no—
245C4×Q8×C11D411yescharacteristic
246C4×Q8×C11C2311yescharacteristic
247C4×Q8×C11C2311yescharacteristic
248C4×Q8×C11C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×Q8×C11C2312yes—
251C4×Q8×C11C2312yes—
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—21no—
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11—21no—
265C4×D4×C11—21no—
266C4×D4×C11—21no—
267C4×D4×C11—21no—
268C4×D4×C11D411yescharacteristic
269C4×D4×C11D411yescharacteristic
270C4×D4×C11D411yescharacteristic
271C4×D4×C11C2311yescharacteristic
272C4×D4×C11C2311yescharacteristic
273C4×D4×C11C2311yescharacteristic
274C4×D4×C11C2311yescharacteristic
275C4×D4×C11C2311yescharacteristic
276C4×D4×C11C2311yescharacteristic
277C4×D4×C11C2312yes—
278C4×D4×C11C2311yescharacteristic
279C4×D4×C11C2311yescharacteristic
280C4×D4×C11C2311yescharacteristic
281C11×#117—21no—
282C11×#117—21no—
283C11×#117—21no—
284C11×#117—21no—
285C11×#117—21no—
286C11×#117—22no—
287C11×#117—21no—
288C11×#117—21no—
289C11×#117—21no—
290C11×#117—21no—
291C11×#117—21no—
292C11×#117—21no—
293C11×#117D411yescharacteristic
294C11×#117D411yescharacteristic
295C11×#117D411yescharacteristic
296C11×#117C2311yescharacteristic
297C11×#117C2311yescharacteristic
298C2×C11×C4⋊C4—21no—
299C2×C11×C4⋊C4—21no—
300C2×C11×C4⋊C4—21no—
301C2×C11×C4⋊C4—21no—
302C2×C11×C4⋊C4—22no—
303C2×C11×C4⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4—21no—
305C2×C11×C22⋊C4—21no—
306C2×C11×C22⋊C4—21no—
307C2×C42×C11—21no—
308C2×C42×C11—21no—
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C11×#107C2312yes—
313C11×#107C2312yes—
314C11×#106C2312yes—
315C11×#106C2312yes—
316C11×C4⋊C8C2311yescharacteristic
317C11×C4⋊C8C2311yescharacteristic
318C11×C4⋊C8C2312yes—
319C11×C4⋊C8C2311yescharacteristic
320C11×C4⋊C8C2312yes—
321C11×C4⋊C8C2312yes—
322C11×C4⋊C8C2311yescharacteristic
323C11×#103C2312yes—
324C11×#103C2312yes—
325C11×#103C2312yes—
326C11×#103C2312yes—
327C11×#103C2312yes—
328C11×#103C2312yes—
329C11×#103C2312yes—
330C11×#103C2312yes—
331C11×#103C2312yes—
332C11×#103C2312yes—
333C11×#102C2312yes—
334C11×#102C2312yes—
335C11×#102C2312yes—
336C11×#102C2312yes—
337C11×#102C2312yes—
338C11×#102C2312yes—
339C11×C22⋊C8C2312yes—
340C11×C22⋊C8C2312yes—
341C11×C22⋊C8C2312yes—
342C11×#97C2312yes—
343C11×#97C2312yes—
344C4×C8×C11C2312yes—
345#61967C1111yesmaximal, characteristic, direct product factor, Sylow
346C24×C11—21no—
347C11×#41—22no—
348C11×#41—22no—
349C11×#41—42no—
350C11×#41—41no—
351C11×#41—41no—
352C11×#41—44no—
353C11×#41—42no—
354C11×#41—42no—
355C11×#41—42no—
356C11×#41—42no—
357C2×Q8×C11—21no—
358C2×Q8×C11—21no—
359C2×Q8×C11—22no—
360C2×Q8×C11—42no—
361C2×Q8×C11—42no—
362C2×Q8×C11C2×D411yescharacteristic
363C2×Q8×C11C2412yes—
364C2×Q8×C11C2412yes—
365C2×Q8×C11C2411yescharacteristic
366C2×Q8×C11C2411yescharacteristic
367C2×D4×C11—22no—
368C2×D4×C11—21no—
369C2×D4×C11—21no—
370C2×D4×C11—22no—
371C2×D4×C11—21no—
372C2×D4×C11—21no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11—21no—
376C2×D4×C11—21no—
377C2×D4×C11—21no—
378C2×D4×C11—41no—
379C2×D4×C11C2×D411yescharacteristic
380C2×D4×C11C2×D411yescharacteristic
381C2×D4×C11C2×D411yescharacteristic
382C2×D4×C11C2412yes—
383C2×D4×C11C2411yescharacteristic
384C2×D4×C11C2411yescharacteristic
385C22×C4×C11—21no—
386C22×C4×C11—22no—
387C22×C4×C11—21no—
388C22×C4×C11—21no—
389C22×C4×C11—21no—
390C22×C4×C11—21no—
391C22×C4×C11—22no—
392C22×C4×C11—21no—
393C22×C4×C11—21no—
394C22×C4×C11—21no—
395C22×C4×C11—21no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—44no—
399C22×C4×C11C2×D411yescharacteristic
400C22×C4×C11C2×D411yescharacteristic
401C22×C4×C11C2×D411yescharacteristic
402C22×C4×C11C2×D411yescharacteristic
403C22×C4×C11C2×D411yescharacteristic
404C22×C4×C11C2×D411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C11×Q16—42no—
409C11×Q16—42no—
410C11×Q16—42no—
411C11×Q16—42no—
412C11×SD16—24no—
413C11×SD16—24no—
414C11×SD16—42no—
415C11×SD16—42no—
416C11×SD16—42no—
417C11×SD16—42no—
418C11×D8—24no—
419C11×D8—42no—
420C11×M16—42no—
421C11×M16—42no—
422C2×C8×C11—42no—
423C2×C8×C11C2412yes—
424C2×C8×C11C2412yes—
425C2×C8×C11C2412yes—
426C2×C8×C11C2412yes—
427C11×C4⋊C4—22no—
428C11×C4⋊C4—21no—
429C11×C4⋊C4—21no—
430C11×C4⋊C4—21no—
431C11×C4⋊C4—21no—
432C11×C4⋊C4—21no—
433C11×C4⋊C4—21no—
434C11×C4⋊C4—21no—
435C11×C4⋊C4—21no—
436C11×C4⋊C4—21no—
437C11×C4⋊C4—21no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—21no—
442C11×C4⋊C4—21no—
443C11×C4⋊C4—21no—
444C11×C4⋊C4—21no—
445C11×C4⋊C4—21no—
446C11×C4⋊C4—21no—
447C11×C4⋊C4—21no—
448C11×C4⋊C4—21no—
449C11×C4⋊C4—21no—
450C11×C4⋊C4—21no—
451C11×C4⋊C4—21no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—22no—
454C11×C4⋊C4C2×D411yescharacteristic
455C11×C4⋊C4C2×D411yescharacteristic
456C11×C4⋊C4C2×D411yescharacteristic
457C11×C4⋊C4C2×D411yescharacteristic
458C11×C4⋊C4C2×D411yescharacteristic
459C11×C4⋊C4C2×D411yescharacteristic
460C11×C4⋊C4C2411yescharacteristic
461C11×C4⋊C4C2411yescharacteristic
462C11×C4⋊C4C2411yescharacteristic
463C11×C4⋊C4C2411yescharacteristic
464C11×C4⋊C4C2412yes—
465C11×C22⋊C4—21no—
466C11×C22⋊C4—21no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—21no—
470C11×C22⋊C4—21no—
471C11×C22⋊C4—21no—
472C11×C22⋊C4—21no—
473C11×C22⋊C4—21no—
474C11×C22⋊C4—21no—
475C11×C22⋊C4—21no—
476C11×C22⋊C4—21no—
477C11×C22⋊C4—21no—
478C11×C22⋊C4—21no—
479C11×C22⋊C4—21no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—21no—
484C11×C22⋊C4—21no—
485C11×C22⋊C4—21no—
486C11×C22⋊C4—21no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4C2×D411yescharacteristic
492C11×C22⋊C4C2×D411yescharacteristic
493C11×C22⋊C4C2×D411yescharacteristic
494C11×C22⋊C4C2×D411yescharacteristic
495C11×C22⋊C4C2×D411yescharacteristic
496C11×C22⋊C4C2×D411yescharacteristic
497C42×C11—21no—
498C42×C11—21no—
499C42×C11—21no—
500C42×C11—21no—
501C42×C11—21no—
502C42×C11—21no—
503C42×C11—22no—
504C42×C11—22no—
505C42×C11C2×D411yescharacteristic
506C42×C11C2×D411yescharacteristic
507C42×C11C2×D411yescharacteristic
508C42×C11C2×D411yescharacteristic
509C42×C11C2×D411yescharacteristic
510C42×C11C2×D411yescharacteristic
511C42×C11C2411yescharacteristic
512C42×C11C2411yescharacteristic
513C42×C11C2411yescharacteristic
514C42×C11C2411yescharacteristic
515#3511C2×C1111yescharacteristic, complemented
516#3475C2×C1111yescharacteristic, complemented
517#3402C2×C1112yescomplemented
518#3376C2×C1112yescomplemented
519#3327C2×C1112yescomplemented
520#3321C2×C1112yescomplemented
521#3315C2×C1112yescomplemented
522#3275C2×C1112yescomplemented
523#3269C2×C1112yescomplemented
524#3267C2×C1112yescomplemented
525#3255C2×C1111yescharacteristic, complemented
526#3251C2×C1111yescharacteristic, complemented
527#3248C2×C1111yescharacteristic, complemented
528#3218C2×C1111yescharacteristic, complemented
529#3216C2×C1111yescharacteristic, complemented
530#3212C2×C1111yescharacteristic, complemented
531#3115C2×C1111yescharacteristic, complemented
532#3110C2×C1111yescharacteristic, complemented
533#3107C2×C1111yescharacteristic, complemented
534#3039C2×C1111yescharacteristic, complemented
535#3036C2×C1111yescharacteristic, complemented
536#3035C2×C1111yescharacteristic, complemented
537#2989C2×C1111yescharacteristic, complemented
538C23×C11—21no—
539C23×C11—21no—
540C23×C11—22no—
541C23×C11—42no—
542C23×C11—42no—
543C23×C11—81no—
544C23×C11C22×D411yescharacteristic
545C23×C11C22×D411yescharacteristic
546C23×C11C22×D411yescharacteristic
547Q8×C11—22no—
548Q8×C11—22no—
549Q8×C11—21no—
550Q8×C11—21no—
551Q8×C11—21no—
552Q8×C11—22no—
553Q8×C11—21no—
554Q8×C11—22no—
555Q8×C11—41no—
556Q8×C11—42no—
557Q8×C11—81no—
558Q8×C11—82no—
559D4×C11—22no—
560D4×C11—21no—
561D4×C11—21no—
562D4×C11—21no—
563D4×C11—22no—
564D4×C11—41no—
565D4×C11—41no—
566D4×C11—41no—
567D4×C11—42no—
568D4×C11—42no—
569D4×C11—42no—
570D4×C11—42no—
571D4×C11—44no—
572D4×C11—42no—
573D4×C11—81no—
574D4×C11—81no—
575D4×C11—82no—
576D4×C11—82no—
577D4×C11H(5,𝔽2)12yes—
578C2×C4×C11—22no—
579C2×C4×C11—22no—
580C2×C4×C11—22no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—22no—
593C2×C4×C11—22no—
594C2×C4×C11—22no—
595C2×C4×C11—21no—
596C2×C4×C11—41no—
597C2×C4×C11—41no—
598C2×C4×C11—41no—
599C2×C4×C11—42no—
600C2×C4×C11—42no—
601C2×C4×C11—42no—
602C2×C4×C11—42no—
603C2×C4×C11—44no—
604C2×C4×C11—42no—
605C2×C4×C11—42no—
606C2×C4×C11—42no—
607C2×C4×C11—81no—
608C2×C4×C11—81no—
609C2×C4×C11—82no—
610C2×C4×C11—82no—
611C2×C4×C11—82no—
612C2×C4×C11C22×D411yescharacteristic
613C2×C4×C11C22×D411yescharacteristic
614C2×C4×C11C22×D411yescharacteristic
615C2×C4×C11C22×D411yescharacteristic
616C2×C4×C11C22×D411yescharacteristic
617C2×C4×C11C22×D411yescharacteristic
618C2×C4×C11C22×D411yescharacteristic
619C2×C4×C11C22×D411yescharacteristic
620C2×C4×C11C22×D411yescharacteristic
621C2×C4×C11C22×D411yescharacteristic
622C2×C4×C11C22×D411yescharacteristic
623C2×C4×C11C2511yescharacteristic
624C8×C11—22no—
625C8×C11—22no—
626C8×C11—22no—
627C8×C11—22no—
628C2×#137C22×C1112yes—
629C2×AGL(1,ℤ/8)C22×C1112yes—
630C2×#135C22×C1112yes—
631#556C22×C1111yescharacteristic
632#556C22×C1112yescomplemented
633#555—21no—
634#555C22×C1111yescharacteristic
635#554—21no—
636#554C22×C1111yescharacteristic
637#553—21no—
638#553—21no—
639#553—21no—
640#552—21no—
641#552C22×C1111yescharacteristic
642#552C22×C1111yescharacteristic
643#551—21no—
644#551—21no—
645#548C22×C1112yes—
646#548C22×C1112yescomplemented
647#547C22×C1111yescharacteristic
648#547C22×C1112yes—
649#546C22×C1111yescharacteristic
650#546C22×C1111yescharacteristic
651#542—21no—
652#542—21no—
653#537—21no—
654#533C22×C1111yescharacteristic
655#533C22×C1111yescharacteristic
656#533C22×C1111yescharacteristic, complemented
657#532C22×C1111yescharacteristic
658#532C22×C1111yescharacteristic, complemented
659#532C22×C1111yescharacteristic, complemented
660C2×C4⋊Q8C22×C1111yescharacteristic, complemented
661#529—21no—
662#529—21no—
663#529C22×C1111yescharacteristic
664#529C22×C1111yescharacteristic
665#525—21no—
666#520—21no—
667C4×#41C22×C1111yescharacteristic
668C4×#41C22×C1111yescharacteristic
669C4×#41C22×C1111yescharacteristic
670C2×C4×D4C22×C1111yescharacteristic
671C2×#117—21no—
672#497C22×C1112yes—
673#497C22×C1112yescomplemented
674#495C22×C1112yes—
675#491C22×C1112yescomplemented
676#489C22×C1112yescomplemented
677#488C22×C1112yescomplemented
678#485C22×C1112yescomplemented
679#484C22×C1112yes—
680#482C22×C1112yescomplemented
681#479C22×C1112yescomplemented
682#478C22×C1112yescomplemented
683#475C22×C1111yescharacteristic, complemented
684#475C22×C1111yescharacteristic, complemented
685#475C22×C1112yescomplemented
686#474C22×C1111yescharacteristic
687#474C22×C1111yescharacteristic
688#470C22×C1112yes—
689#470C22×C1112yes—
690#469C22×C1112yes—
691#468C22×C1112yescomplemented
692#467C22×C1112yescomplemented
693#465C22×C1112yes—
694#464C22×C1112yes—
695#464C22×C1112yescomplemented
696#463C22×C1112yes—
697#463C22×C1112yes—
698#463C22×C1112yes—
699#463C22×C1112yes—
700#462C22×C1111yescharacteristic, complemented
701#462C22×C1112yescomplemented
702#462C22×C1112yescomplemented
703#462C22×C1111yescharacteristic, complemented
704#462C22×C1111yescharacteristic, complemented
705#462C22×C1111yescharacteristic, complemented
706#461C22×C1111yescharacteristic
707#461C22×C1111yescharacteristic
708#461C22×C1111yescharacteristic
709#461C22×C1112yes—
710#461C22×C1111yescharacteristic
711#460C22×C1111yescharacteristic, complemented
712#460C22×C1111yescharacteristic, complemented
713#459C22×C1111yescharacteristic
714#459C22×C1111yescharacteristic
715#452C22×C1112yes—
716#452C22×C1112yes—
717#452C22×C1112yes—
718#452C22×C1112yescomplemented
719#451C22×C1112yescomplemented
720#450C22×C1112yes—
721#449C22×C1112yes—
722#449C22×C1112yes—
723#448C22×C1112yes—
724#446C22×C1112yescomplemented
725#442C22×C1112yes—
726#440C22×C1112yes—
727#440C22×C1112yes—
728#440C22×C1112yescomplemented
729C4×Q16C22×C1112yescomplemented
730C4×SD16C22×C1112yes—
731#436C22×C1112yes—
732#435C22×C1112yes—
733#435C22×C1112yescomplemented
734#432C22×C1111yescharacteristic
735#432C22×C1111yescharacteristic, complemented
736#431C22×C1111yescharacteristic, complemented
737#423C22×C1111yescharacteristic
738#423C22×C1111yescharacteristic, complemented
739C2×C4⋊C8C22×C1111yescharacteristic, complemented
740#419C22×C1112yescomplemented
741#417C22×C1112yes—
742#416C22×C1112yescomplemented
743C22×C11—21no—
744C22×C11—21no—
745C22×C11—21no—
746C22×C11—21no—
747C22×C11—21no—
748C22×C11—21no—
749C22×C11—22no—
750C22×C11—21no—
751C22×C11—21no—
752C22×C11—21no—
753C22×C11—41no—
754C22×C11—41no—
755C22×C11—42no—
756C22×C11—41no—
757C22×C11—42no—
758C22×C11—41no—
759C22×C11—41no—
760C22×C11—42no—
761C22×C11—84no—
762C22×C11C23×D411yescharacteristic
763C4×C11—21no—
764C4×C11—21no—
765C4×C11—21no—
766C4×C11—21no—
767C4×C11—21no—
768C4×C11—21no—
769C4×C11—21no—
770C4×C11—21no—
771C4×C11—21no—
772C4×C11—21no—
773C4×C11—41no—
774C4×C11—41no—
775C4×C11—41no—
776C4×C11—41no—
777C4×C11—42no—
778C4×C11—42no—
779C4×C11—41no—
780C4×C11—41no—
781C4×C11—42no—
782C4×C11#57512yes—
783C4×C11C2×H(5,𝔽2)11yescharacteristic
784C4×C11#58511yescharacteristic
785C2×#41—21no—
786C2×#41D4×C1111yescharacteristic
787C2×#41C23×C1111yescharacteristic
788C2×#41C23×C1111yescharacteristic
789C2×#41C23×C1112yes—
790C2×#41C23×C1112yes—
791C22×Q8C23×C1112yes—
792C22×D4C23×C1111yescharacteristic
793C23×C4—21no—
794#137—44no—
795AGL(1,ℤ/8)—44no—
796#135—44no—
797C2×Q16C23×C1112yes—
798C2×Q16C23×C1112yes—
799C2×Q16C23×C1112yes—
800C2×Q16C23×C1112yes—
801C2×SD16C23×C1112yes—
802C2×SD16C23×C1112yes—
803C2×SD16C23×C1112yes—
804C2×SD16C23×C1112yes—
805C2×SD16C23×C1112yes—
806C2×SD16C23×C1112yes—
807C2×D8C23×C1112yes—
808C2×D8C23×C1112yes—
809C2×M16C23×C1112yes—
810C2×M16C23×C1112yes—
811C22×C8C23×C1112yes—
812C4⋊Q8—21no—
813C4⋊Q8—21no—
814C4⋊Q8C23×C1111yescharacteristic
815C4⋊Q8C23×C1111yescharacteristic
816C4⋊Q8C23×C1112yes—
817C4⋊Q8C23×C1111yescharacteristic
818C4⋊Q8C23×C1111yescharacteristic
819C4⋊Q8C23×C1111yescharacteristic
820#127C23×C1111yescharacteristic
821#126—21no—
822#126—21no—
823#126—22no—
824#126—22no—
825#126—21no—
826#126—21no—
827#126—21no—
828#126—21no—
829#125—21no—
830#125—21no—
831#125—21no—
832#125—21no—
833#125—21no—
834#125C23×C1111yescharacteristic
835#125C23×C1111yescharacteristic
836#124—21no—
837#124—21no—
838#124—22no—
839#124—22no—
840#124—21no—
841#124C23×C1111yescharacteristic
842#124C23×C1111yescharacteristic
843#124C23×C1112yes—
844#124C23×C1112yes—
845#123—21no—
846#123—21no—
847#123—21no—
848#123—21no—
849#123—21no—
850#123—21no—
851#123—21no—
852#123—21no—
853#123—22no—
854#123—22no—
855C22⋊Q8—21no—
856C22⋊Q8—21no—
857C22⋊Q8—22no—
858C22⋊Q8—21no—
859C22⋊Q8—21no—
860C22⋊Q8—21no—
861C22⋊Q8—21no—
862C22⋊Q8—21no—
863C22⋊Q8—22no—
864C22⋊Q8—22no—
865C22⋊Q8C23×C1111yescharacteristic
866C22⋊Q8C23×C1111yescharacteristic
867C22⋊Q8C23×C1111yescharacteristic
868C22⋊Q8C23×C1111yescharacteristic
869C22⋊Q8C23×C1112yes—
870C22⋊Q8C23×C1112yes—
871#121—21no—
872#121—21no—
873#121—22no—
874#121—22no—
875#121—22no—
876#121—21no—
877#121—21no—
878#121—21no—
879#121—21no—
880#121—21no—
881#121—21no—
882#121—21no—
883#121C23×C1111yescharacteristic
884#121C23×C1111yescharacteristic
885#121C23×C1112yes—
886#120—21no—
887#120—21no—
888C4×Q8—21no—
889C4×Q8—21no—
890C4×Q8—21no—
891C4×Q8D4×C1111yescharacteristic
892C4×Q8C23×C1111yescharacteristic
893C4×Q8C23×C1111yescharacteristic
894C4×Q8C23×C1111yescharacteristic
895C4×Q8C23×C1111yescharacteristic
896C4×Q8C23×C1112yes—
897C4×Q8C23×C1112yes—
898C4×Q8C23×C1111yescharacteristic
899C4×D4—21no—
900C4×D4—21no—
901C4×D4—21no—
902C4×D4—21no—
903C4×D4—21no—
904C4×D4—21no—
905C4×D4—22no—
906C4×D4—22no—
907C4×D4—21no—
908C4×D4—21no—
909C4×D4—21no—
910C4×D4—21no—
911C4×D4—21no—
912C4×D4—21no—
913C4×D4—21no—
914C4×D4D4×C1111yescharacteristic
915C4×D4D4×C1111yescharacteristic
916C4×D4D4×C1111yescharacteristic
917C4×D4C23×C1111yescharacteristic
918C4×D4C23×C1111yescharacteristic
919C4×D4C23×C1111yescharacteristic
920C4×D4C23×C1111yescharacteristic
921C4×D4C23×C1111yescharacteristic
922C4×D4C23×C1111yescharacteristic
923C4×D4C23×C1112yes—
924C4×D4C23×C1111yescharacteristic
925C4×D4C23×C1111yescharacteristic
926C4×D4C23×C1111yescharacteristic
927#117—21no—
928#117—21no—
929#117—21no—
930#117—21no—
931#117—21no—
932#117—22no—
933#117—21no—
934#117—21no—
935#117—21no—
936#117—21no—
937#117—21no—
938#117—21no—
939#117D4×C1111yescharacteristic
940#117D4×C1111yescharacteristic
941#117D4×C1111yescharacteristic
942#117C23×C1111yescharacteristic
943#117C23×C1111yescharacteristic
944C2×C4⋊C4—21no—
945C2×C4⋊C4—21no—
946C2×C4⋊C4—21no—
947C2×C4⋊C4—21no—
948C2×C4⋊C4—22no—
949C2×C4⋊C4C23×C1111yescharacteristic
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C42—21no—
954C2×C42—21no—
955C2×C42C23×C1111yescharacteristic
956C2×C42C23×C1111yescharacteristic
957C2×C42C23×C1111yescharacteristic
958#107C23×C1112yes—
959#107C23×C1112yes—
960#106C23×C1112yes—
961#106C23×C1112yes—
962C4⋊C8C23×C1111yescharacteristic
963C4⋊C8C23×C1111yescharacteristic
964C4⋊C8C23×C1112yes—
965C4⋊C8C23×C1111yescharacteristic
966C4⋊C8C23×C1112yes—
967C4⋊C8C23×C1112yes—
968C4⋊C8C23×C1111yescharacteristic
969#103C23×C1112yes—
970#103C23×C1112yes—
971#103C23×C1112yes—
972#103C23×C1112yes—
973#103C23×C1112yes—
974#103C23×C1112yes—
975#103C23×C1112yes—
976#103C23×C1112yes—
977#103C23×C1112yes—
978#103C23×C1112yes—
979#102C23×C1112yes—
980#102C23×C1112yes—
981#102C23×C1112yes—
982#102C23×C1112yes—
983#102C23×C1112yes—
984#102C23×C1112yes—
985C22⋊C8C23×C1112yes—
986C22⋊C8C23×C1112yes—
987C22⋊C8C23×C1112yes—
988#97C23×C1112yes—
989#97C23×C1112yes—
990C4×C8C23×C1112yes—
991C2×C11—41no—
992C2×C11—41no—
993C2×C11—41no—
994C2×C11—42no—
995C2×C11—82no—
996C2×C11—81no—
997C2×C11#348811yescharacteristic
998C2×C11C2×#57511yescharacteristic
999C2×C11#358611yescharacteristic
1000C24—21no—
1001#41—22no—
1002#41—22no—
1003#41—42no—
1004#41—41no—
1005#41—41no—
1006#41—44no—
1007#41—42no—
1008#41—42no—
1009#41—42no—
1010#41—42no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—22no—
1014C2×Q8—42no—
1015C2×Q8—42no—
1016C2×Q8C2×D4×C1111yescharacteristic
1017C2×Q8C24×C1112yes—
1018C2×Q8C24×C1112yes—
1019C2×Q8C24×C1111yescharacteristic
1020C2×Q8C24×C1111yescharacteristic
1021C2×D4—22no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—22no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—22no—
1028C2×D4—22no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—41no—
1033C2×D4C2×D4×C1111yescharacteristic
1034C2×D4C2×D4×C1111yescharacteristic
1035C2×D4C2×D4×C1111yescharacteristic
1036C2×D4C24×C1112yes—
1037C2×D4C24×C1111yescharacteristic
1038C2×D4C24×C1111yescharacteristic
1039C22×C4—21no—
1040C22×C4—22no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—22no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—44no—
1053C22×C4C2×D4×C1111yescharacteristic
1054C22×C4C2×D4×C1111yescharacteristic
1055C22×C4C2×D4×C1111yescharacteristic
1056C22×C4C2×D4×C1111yescharacteristic
1057C22×C4C2×D4×C1111yescharacteristic
1058C22×C4C2×D4×C1111yescharacteristic
1059C22×C4C24×C1111yescharacteristic
1060C22×C4C24×C1111yescharacteristic
1061C22×C4C24×C1111yescharacteristic
1062Q16—42no—
1063Q16—42no—
1064Q16—42no—
1065Q16—42no—
1066SD16—24no—
1067SD16—24no—
1068SD16—42no—
1069SD16—42no—
1070SD16—42no—
1071SD16—42no—
1072D8—24no—
1073D8—42no—
1074M16—42no—
1075M16—42no—
1076C2×C8—42no—
1077C2×C8C24×C1112yes—
1078C2×C8C24×C1112yes—
1079C2×C8C24×C1112yes—
1080C2×C8C24×C1112yes—
1081C4⋊C4—22no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4C2×D4×C1111yescharacteristic
1109C4⋊C4C2×D4×C1111yescharacteristic
1110C4⋊C4C2×D4×C1111yescharacteristic
1111C4⋊C4C2×D4×C1111yescharacteristic
1112C4⋊C4C2×D4×C1111yescharacteristic
1113C4⋊C4C2×D4×C1111yescharacteristic
1114C4⋊C4C24×C1111yescharacteristic
1115C4⋊C4C24×C1111yescharacteristic
1116C4⋊C4C24×C1111yescharacteristic
1117C4⋊C4C24×C1111yescharacteristic
1118C4⋊C4C24×C1112yes—
1119C22⋊C4—21no—
1120C22⋊C4—21no—
1121C22⋊C4—22no—
1122C22⋊C4—22no—
1123C22⋊C4—21no—
1124C22⋊C4—21no—
1125C22⋊C4—21no—
1126C22⋊C4—21no—
1127C22⋊C4—21no—
1128C22⋊C4—21no—
1129C22⋊C4—21no—
1130C22⋊C4—21no—
1131C22⋊C4—21no—
1132C22⋊C4—21no—
1133C22⋊C4—21no—
1134C22⋊C4—21no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—21no—
1138C22⋊C4—21no—
1139C22⋊C4—21no—
1140C22⋊C4—21no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4C2×D4×C1111yescharacteristic
1146C22⋊C4C2×D4×C1111yescharacteristic
1147C22⋊C4C2×D4×C1111yescharacteristic
1148C22⋊C4C2×D4×C1111yescharacteristic
1149C22⋊C4C2×D4×C1111yescharacteristic
1150C22⋊C4C2×D4×C1111yescharacteristic
1151C42—21no—
1152C42—21no—
1153C42—21no—
1154C42—21no—
1155C42—21no—
1156C42—21no—
1157C42—22no—
1158C42—22no—
1159C42C2×D4×C1111yescharacteristic
1160C42C2×D4×C1111yescharacteristic
1161C42C2×D4×C1111yescharacteristic
1162C42C2×D4×C1111yescharacteristic
1163C42C2×D4×C1111yescharacteristic
1164C42C2×D4×C1111yescharacteristic
1165C42C24×C1111yescharacteristic
1166C42C24×C1111yescharacteristic
1167C42C24×C1111yescharacteristic
1168C42C24×C1111yescharacteristic
1169C11#6196711yescharacteristic, direct product factor, Sylow
1170C23—21no—
1171C23—21no—
1172C23—22no—
1173C23—42no—
1174C23—42no—
1175C23—81no—
1176C23C22×D4×C1111yescharacteristic
1177C23C22×D4×C1111yescharacteristic
1178C23C22×D4×C1111yescharacteristic
1179Q8—22no—
1180Q8—22no—
1181Q8—21no—
1182Q8—21no—
1183Q8—21no—
1184Q8—22no—
1185Q8—21no—
1186Q8—22no—
1187Q8—41no—
1188Q8—42no—
1189Q8—81no—
1190Q8—82no—
1191D4—22no—
1192D4—21no—
1193D4—21no—
1194D4—21no—
1195D4—22no—
1196D4—41no—
1197D4—41no—
1198D4—41no—
1199D4—42no—
1200D4—42no—
1201D4—42no—
1202D4—42no—
1203D4—44no—
1204D4—42no—
1205D4—81no—
1206D4—81no—
1207D4—82no—
1208D4—82no—
1209D4C11×H(5,𝔽2)12yes—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—22no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—21no—
1228C2×C4—41no—
1229C2×C4—41no—
1230C2×C4—41no—
1231C2×C4—42no—
1232C2×C4—42no—
1233C2×C4—42no—
1234C2×C4—42no—
1235C2×C4—44no—
1236C2×C4—42no—
1237C2×C4—42no—
1238C2×C4—42no—
1239C2×C4—81no—
1240C2×C4—81no—
1241C2×C4—82no—
1242C2×C4—82no—
1243C2×C4—82no—
1244C2×C4C22×D4×C1111yescharacteristic
1245C2×C4C22×D4×C1111yescharacteristic
1246C2×C4C22×D4×C1111yescharacteristic
1247C2×C4C22×D4×C1111yescharacteristic
1248C2×C4C22×D4×C1111yescharacteristic
1249C2×C4C22×D4×C1111yescharacteristic
1250C2×C4C22×D4×C1111yescharacteristic
1251C2×C4C22×D4×C1111yescharacteristic
1252C2×C4C22×D4×C1111yescharacteristic
1253C2×C4C22×D4×C1111yescharacteristic
1254C2×C4C22×D4×C1111yescharacteristic
1255C2×C4C25×C1111yescharacteristic
1256C8—22no—
1257C8—22no—
1258C8—22no—
1259C8—22no—
1260C22—21no—
1261C22—21no—
1262C22—21no—
1263C22—22no—
1264C22—21no—
1265C22—21no—
1266C22—21no—
1267C22—21no—
1268C22—21no—
1269C22—21no—
1270C22—41no—
1271C22—41no—
1272C22—42no—
1273C22—41no—
1274C22—41no—
1275C22—42no—
1276C22—42no—
1277C22—41no—
1278C22—84no—
1279C22C23×D4×C1111yescharacteristic
1280C4—21no—
1281C4—21no—
1282C4—21no—
1283C4—21no—
1284C4—21no—
1285C4—21no—
1286C4—21no—
1287C4—21no—
1288C4—21no—
1289C4—21no—
1290C4—41no—
1291C4—41no—
1292C4—42no—
1293C4—42no—
1294C4—41no—
1295C4—41no—
1296C4—42no—
1297C4—41no—
1298C4—41no—
1299C4C11×#57512yes—
1300C4C2×C11×H(5,𝔽2)11yescharacteristic
1301C4C11×#58511yescharacteristic
1302C2—41no—
1303C2—41no—
1304C2—41no—
1305C2—42no—
1306C2—81no—
1307C2—82no—
1308C2C11×#348811yescharacteristic
1309C2C2×C11×#57511yescharacteristic
1310C2C11×#358611yescharacteristic
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×#3511C2semidirect
2. C11×#3475C2semidirect
3. C11×#3402C2semidirect
4. C11×#3376C2semidirect
5. C11×#3327C2semidirect
6. C11×#3321C2semidirect
7. C11×#3315C2semidirect
8. C11×#3275C2semidirect
9. C11×#3269C2semidirect
10. C11×#3267C2semidirect
11. C11×#3255C2semidirect
12. C11×#3251C2semidirect
13. C11×#3248C2semidirect
14. C11×#3218C2semidirect
15. C11×#3216C2semidirect
16. C11×#3212C2semidirect
17. C11×#3115C2semidirect
18. C11×#3110C2semidirect
19. C11×#3107C2semidirect
20. C11×#3039C2semidirect
21. C11×#3036C2semidirect
22. C11×#3035C2semidirect
23. C11×#2989C2semidirect
28. C11×#556C22semidirect
42. C11×#548C22semidirect
52. C11×#533C22semidirect
54. C11×#532C22semidirect
55. C11×#532C22semidirect
56. C2×C11×C4⋊Q8C22semidirect
69. C11×#497C22semidirect
71. C11×#491C22semidirect
72. C11×#489C22semidirect
73. C11×#488C22semidirect
74. C11×#485C22semidirect
76. C11×#482C22semidirect
77. C11×#479C22semidirect
78. C11×#478C22semidirect
79. C11×#475C22semidirect
80. C11×#475C22semidirect
81. C11×#475C22semidirect
87. C11×#468C22semidirect
88. C11×#467C22semidirect
91. C11×#464C22semidirect
96. C11×#462C22semidirect
97. C11×#462C22semidirect
98. C11×#462C22semidirect
99. C11×#462C22semidirect
100. C11×#462C22semidirect
101. C11×#462C22semidirect
107. C11×#460C22semidirect
108. C11×#460C22semidirect
114. C11×#452C22semidirect
115. C11×#451C22semidirect
120. C11×#446C22semidirect
124. C11×#440C22semidirect
125. C4×C11×Q16C22semidirect
129. C11×#435C22semidirect
131. C11×#432C22semidirect
132. C11×#431C22semidirect
134. C11×#423C22semidirect
135. C2×C11×C4⋊C8C22semidirect
136. C11×#419C22semidirect
138. C11×#416C22semidirect
345. #61967C11direct (N × H)
515. #3511C2×C11semidirect
516. #3475C2×C11semidirect
517. #3402C2×C11semidirect
518. #3376C2×C11semidirect
519. #3327C2×C11semidirect
520. #3321C2×C11semidirect
521. #3315C2×C11semidirect
522. #3275C2×C11semidirect
523. #3269C2×C11semidirect
524. #3267C2×C11semidirect
525. #3255C2×C11semidirect
526. #3251C2×C11semidirect
527. #3248C2×C11semidirect
528. #3218C2×C11semidirect
529. #3216C2×C11semidirect
530. #3212C2×C11semidirect
531. #3115C2×C11semidirect
532. #3110C2×C11semidirect
533. #3107C2×C11semidirect
534. #3039C2×C11semidirect
535. #3036C2×C11semidirect
536. #3035C2×C11semidirect
537. #2989C2×C11semidirect
632. #556C22×C11semidirect
646. #548C22×C11semidirect
656. #533C22×C11semidirect
658. #532C22×C11semidirect
659. #532C22×C11semidirect
660. C2×C4⋊Q8C22×C11semidirect
673. #497C22×C11semidirect
675. #491C22×C11semidirect
676. #489C22×C11semidirect
677. #488C22×C11semidirect
678. #485C22×C11semidirect
680. #482C22×C11semidirect
681. #479C22×C11semidirect
682. #478C22×C11semidirect
683. #475C22×C11semidirect
684. #475C22×C11semidirect
685. #475C22×C11semidirect
691. #468C22×C11semidirect
692. #467C22×C11semidirect
695. #464C22×C11semidirect
700. #462C22×C11semidirect
701. #462C22×C11semidirect
702. #462C22×C11semidirect
703. #462C22×C11semidirect
704. #462C22×C11semidirect
705. #462C22×C11semidirect
711. #460C22×C11semidirect
712. #460C22×C11semidirect
718. #452C22×C11semidirect
719. #451C22×C11semidirect
724. #446C22×C11semidirect
728. #440C22×C11semidirect
729. C4×Q16C22×C11semidirect
733. #435C22×C11semidirect
735. #432C22×C11semidirect
736. #431C22×C11semidirect
738. #423C22×C11semidirect
739. C2×C4⋊C8C22×C11semidirect
740. #419C22×C11semidirect
742. #416C22×C11semidirect
1169. C11#61967direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35112
C11×#34752
C11×#34022
C11×#33762
C11×#33272
C11×#33212
C11×#33152
C11×#32752
C11×#32692
C11×#32672
C11×#32552
C11×#32512
C11×#32482
C11×#32182
C11×#32162
C11×#32122
C11×#31152
C11×#31102
C11×#31072
C11×#30392
C11×#30362
C11×#30352
C11×#29892
#6196711