Finite Group Databasebeta

← C11×#60815 #14638008

Subgroups — C11×#60815 #14638008

Order 2816.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3494C211yesmaximal, characteristic, complemented
2C11×#3449C211yesmaximal, characteristic, complemented
3C11×#3225C212yesmaximal, complemented
4C11×#3224C212yesmaximal, complemented
5C11×#3221C212yesmaximal, complemented
6C11×#3220C212yesmaximal, complemented
7C11×#3219C212yesmaximal, complemented
8C11×#3214C212yesmaximal, complemented
9C11×#3212C212yesmaximal, complemented
10C11×#3207C212yesmaximal, complemented
11C11×#3155C211yesmaximal, characteristic, complemented
12C11×#3154C211yesmaximal, characteristic, complemented
13C11×#3137C211yesmaximal, characteristic, complemented
14C11×#3136C211yesmaximal, characteristic, complemented
15C11×#3046C211yesmaximal, characteristic, complemented
16C11×#3045C211yesmaximal, characteristic, complemented
17C11×#3042C211yesmaximal, characteristic, complemented
18C11×#3041C211yesmaximal, characteristic, complemented
19C11×#3006C211yesmaximal, characteristic, complemented
20C11×#3005C211yesmaximal, characteristic, complemented
21C11×#3002C211yesmaximal, characteristic, complemented
22C2×C11×#449C211yesmaximal, characteristic, complemented
23C11×#2924C211yesmaximal, characteristic, complemented
24C22×C11×#41C2211yescharacteristic
25C22×C11×#41C2211yescharacteristic
26C2×C11×#137C2211yescharacteristic, complemented
27C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
28C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
29C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
30C2×C11×#135C2211yescharacteristic
31C2×C11×#135C2211yescharacteristic
32C22×C11×SD16C2211yescharacteristic, complemented
33C22×C11×D8C2211yescharacteristic, complemented
34C11×#555—21no—
35C11×#553—21no—
36C11×#553—21no—
37C11×#551—22no—
38C11×#547—21no—
39C11×#546—22no—
40C11×#544C2211yescharacteristic, complemented
41C11×#542C2212yescomplemented
42C11×#540C2212yescomplemented
43C11×#537—21no—
44C11×#537—21no—
45C11×#536C2211yescharacteristic
46C11×#536C2211yescharacteristic
47C11×#536C2212yescomplemented
48C11×#535C2211yescharacteristic
49C11×#535C2211yescharacteristic
50C11×#535C2211yescharacteristic, complemented
51C11×#535C2212yescomplemented
52C11×#534—22no—
53C11×#532C2212yescomplemented
54C11×#532C2212yescomplemented
55C11×#532C2212yescomplemented
56C11×#529C2212yescomplemented
57C11×#525—22no—
58C11×#525—21no—
59C11×#525—21no—
60C11×#525C2211yescharacteristic
61C2×C11×#121C2211yescharacteristic
62C11×#520C2211yescharacteristic, complemented
63C11×#518C2211yescharacteristic, complemented
64C2×C11×#117C2211yescharacteristic
65C11×#497C2212yescomplemented
66C11×#496C2212yescomplemented
67C11×#496C2212yescomplemented
68C11×#496C2212yescomplemented
69C11×#495C2212yescomplemented
70C11×#495C2212yescomplemented
71C11×#493C2212yescomplemented
72C11×#492C2212yescomplemented
73C11×#491C2212yescomplemented
74C11×#490C2212yescomplemented
75C11×#489C2212yescomplemented
76C11×#489C2212yescomplemented
77C11×#488C2212yescomplemented
78C11×#488C2212yescomplemented
79C11×#487C2212yescomplemented
80C11×#486C2212yescomplemented
81C11×#464C2212yescomplemented
82C11×#464C2212yescomplemented
83C11×#463C2212yescomplemented
84C11×#463C2212yescomplemented
85C11×#463C2212yescomplemented
86C11×#463C2212yescomplemented
87C11×#463C2212yescomplemented
88C11×#463C2212yescomplemented
89C11×#462C2212yescomplemented
90C11×#461C2212yescomplemented
91C11×#461C2212yescomplemented
92C11×#461C2212yescomplemented
93C11×#460C2212yescomplemented
94C11×#459C2212yescomplemented
95C11×#459C2212yescomplemented
96C11×#459C2212yescomplemented
97C11×#452C2211yescharacteristic, complemented
98C11×#452C2212yescomplemented
99C11×#452C2211yescharacteristic, complemented
100C11×#452C2212yescomplemented
101C11×#451C2211yescharacteristic, complemented
102C11×#450C2211yescharacteristic, complemented
103C11×#449C2212yes—
104C11×#449C2212yes—
105C11×#449C2211yescharacteristic, complemented
106C11×#449C2212yescomplemented
107C11×#449C2212yescomplemented
108C11×#449C2212yescomplemented
109C11×#449C2212yescomplemented
110C11×#449C2211yescharacteristic, complemented
111C11×#449C2212yescomplemented
112C11×#449C2212yescomplemented
113C11×#448C2211yescharacteristic, complemented
114C11×#448C2212yescomplemented
115C11×#447C2211yescharacteristic, complemented
116C11×#447C2212yescomplemented
117C11×#433C2212yescomplemented
118C11×#433C2212yescomplemented
119C11×#432C2212yescomplemented
120C11×#431C2212yescomplemented
121C11×#424C2211yescharacteristic, complemented
122C11×#424C2211yescharacteristic, complemented
123C11×#419C2211yescharacteristic, complemented
124C11×#418C2211yescharacteristic, complemented
125C11×#417C2211yescharacteristic
126C11×#417C2211yescharacteristic
127C11×#416C2211yescharacteristic
128C11×#416C2211yescharacteristic
129C2×C11×#103C2211yescharacteristic, complemented
130C2×C11×#102C2211yescharacteristic, complemented
131C11×#407C2211yescharacteristic
132C2×C11×C22⋊C8C2211yescharacteristic
133C11×#405C2211yescharacteristic, complemented
134C11×#405C2211yescharacteristic, complemented
135C2×C11×#41—21no—
136C2×C11×#41—21no—
137C2×C11×#41—21no—
138C2×C11×#41—21no—
139C2×C11×#41—22no—
140C2×C11×#41—42no—
141C2×C11×#41—42no—
142C2×C11×#41—42no—
143C2×C11×#41—42no—
144C2×C11×#41C2311yescharacteristic
145C2×C11×#41C2311yescharacteristic
146C2×C11×#41C2311yescharacteristic
147C2×C11×#41C2311yescharacteristic
148C2×C11×#41C2312yes—
149C2×C11×#41C2311yescharacteristic
150C2×C11×#41C2312yes—
151C22×Q8×C11C2311yescharacteristic
152C22×Q8×C11C2311yescharacteristic
153C22×D4×C11—21no—
154C22×D4×C11—21no—
155C22×D4×C11—21no—
156C22×D4×C11C2311yescharacteristic
157C22×D4×C11C2311yescharacteristic
158C22×D4×C11C2311yescharacteristic
159C23×C4×C11—21no—
160C23×C4×C11—21no—
161C23×C4×C11C2311yescharacteristic
162C11×#137—42no—
163C11×AGL(1,ℤ/8)—42no—
164C11×AGL(1,ℤ/8)—42no—
165C11×AGL(1,ℤ/8)—42no—
166C11×#135—42no—
167C11×#135—42no—
168C2×C11×Q16C2311yescharacteristic
169C2×C11×Q16C2312yes—
170C2×C11×Q16C2311yescharacteristic
171C2×C11×SD16—42no—
172C2×C11×SD16C2311yescharacteristic
173C2×C11×SD16C2312yes—
174C2×C11×SD16C2312yes—
175C2×C11×SD16C2312yes—
176C2×C11×SD16C2311yescharacteristic
177C2×C11×SD16C2312yes—
178C2×C11×SD16C2312yes—
179C2×C11×SD16C2311yescharacteristic
180C2×C11×SD16C2311yescharacteristic
181C2×C11×SD16C2312yes—
182C2×C11×D8—42no—
183C2×C11×D8C2311yescharacteristic
184C2×C11×D8C2312yes—
185C2×C11×D8C2312yes—
186C2×C11×D8C2312yes—
187C2×C11×D8C2312yes—
188C2×C11×D8C2312yes—
189C2×C11×D8C2311yescharacteristic
190C2×C11×M16C2311yescharacteristic
191C2×C11×M16C2311yescharacteristic
192C22×C8×C11C2311yescharacteristic
193C22×C8×C11C2311yescharacteristic
194C11×C4⋊Q8—21no—
195C11×C4⋊Q8C2312yes—
196C11×C4⋊Q8C2312yes—
197C11×C4⋊Q8C2312yes—
198C11×#127C2312yes—
199C11×#127C2312yes—
200C11×#127C2312yes—
201C11×#126—22no—
202C11×#126—22no—
203C11×#125—21no—
204C11×#125C2312yes—
205C11×#124—22no—
206C11×#124—22no—
207C11×#124C2312yes—
208C11×#124C2312yes—
209C11×#124C2312yes—
210C11×#124C2312yes—
211C11×#124C2312yes—
212C11×#123—21no—
213C11×#123—22no—
214C11×#123—22no—
215C11×#123—22no—
216C11×#123—22no—
217C11×#123—22no—
218C11×#123—22no—
219C11×#123—22no—
220C11×#123—22no—
221C11×C22⋊Q8—21no—
222C11×C22⋊Q8—21no—
223C11×C22⋊Q8—21no—
224C11×C22⋊Q8—21no—
225C11×C22⋊Q8—22no—
226C11×C22⋊Q8—22no—
227C11×C22⋊Q8—22no—
228C11×C22⋊Q8—22no—
229C11×C22⋊Q8C2311yescharacteristic
230C11×C22⋊Q8C2311yescharacteristic
231C11×#121—21no—
232C11×#121—21no—
233C11×#121—22no—
234C11×#121—22no—
235C11×#121—22no—
236C11×#121—22no—
237C11×#121—22no—
238C11×#121—21no—
239C11×#121—21no—
240C11×#121—21no—
241C11×#121—21no—
242C11×#121—22no—
243C11×#121—22no—
244C11×#121—21no—
245C11×#121—21no—
246C11×#121—22no—
247C11×#121—22no—
248C11×#121C2312yes—
249C11×#121C2312yes—
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C11×#120—21no—
253C11×#120—22no—
254C11×#120—22no—
255C11×#120—22no—
256C11×#120—22no—
257C11×#120—22no—
258C4×Q8×C11C2312yes—
259C4×D4×C11—21no—
260C4×D4×C11—21no—
261C4×D4×C11—22no—
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11—22no—
265C4×D4×C11—22no—
266C4×D4×C11—22no—
267C4×D4×C11—22no—
268C4×D4×C11—22no—
269C4×D4×C11—22no—
270C4×D4×C11C2312yes—
271C4×D4×C11C2312yes—
272C4×D4×C11C2312yes—
273C11×#117—21no—
274C11×#117—22no—
275C11×#117D412yes—
276C11×#117D411yescharacteristic
277C11×#117D411yescharacteristic
278C11×#117C2311yescharacteristic
279C11×#117C2311yescharacteristic
280C11×#117C2311yescharacteristic
281C11×#117C2312yes—
282C2×C11×C4⋊C4—21no—
283C2×C11×C4⋊C4D411yescharacteristic
284C2×C11×C4⋊C4D411yescharacteristic
285C2×C11×C4⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4—21no—
287C2×C11×C22⋊C4—22no—
288C2×C11×C22⋊C4D412yes—
289C2×C42×C11C2312yes—
290C11×C4⋊C8C2312yes—
291C11×C4⋊C8C2312yes—
292C11×C4⋊C8C2312yes—
293C11×C4⋊C8C2312yes—
294C11×#103C2311yescharacteristic
295C11×#103C2312yes—
296C11×#103C2312yes—
297C11×#103C2312yes—
298C11×#103C2311yescharacteristic
299C11×#103C2312yes—
300C11×#103C2312yes—
301C11×#103C2312yes—
302C11×#103C2311yescharacteristic
303C11×#103C2311yescharacteristic
304C11×#102C2311yescharacteristic
305C11×#102C2312yes—
306C11×#102C2312yes—
307C11×#102C2312yes—
308C11×#102C2311yescharacteristic
309C11×#102C2312yes—
310C11×#102C2312yes—
311C11×#102C2312yes—
312C11×#102C2311yescharacteristic
313C11×#102C2311yescharacteristic
314C11×C22⋊C8C2311yescharacteristic
315C11×C22⋊C8C2311yescharacteristic
316C11×C22⋊C8C2311yescharacteristic
317C11×C22⋊C8C2311yescharacteristic
318C11×C22⋊C8C2312yes—
319C11×C22⋊C8C2312yes—
320C11×#97C2312yes—
321C11×#97C2312yes—
322C4×C8×C11C2312yes—
323C4×C8×C11C2312yes—
324#60815C1111yesmaximal, characteristic, direct product factor, Sylow
325C24×C11—21no—
326C24×C11—21no—
327C24×C11—21no—
328C24×C11C2×D411yescharacteristic
329C11×#41—22no—
330C11×#41—22no—
331C11×#41—22no—
332C11×#41—22no—
333C11×#41—22no—
334C11×#41—22no—
335C11×#41—42no—
336C11×#41—42no—
337C11×#41—42no—
338C11×#41—41no—
339C11×#41—41no—
340C11×#41—42no—
341C11×#41—41no—
342C11×#41—41no—
343C11×#41—44no—
344C11×#41—44no—
345C11×#41—44no—
346C11×#41—44no—
347C11×#41—84no—
348C2×Q8×C11—21no—
349C2×Q8×C11—21no—
350C2×Q8×C11—22no—
351C2×Q8×C11—22no—
352C2×Q8×C11—22no—
353C2×Q8×C11—41no—
354C2×Q8×C11—41no—
355C2×Q8×C11C2412yes—
356C2×Q8×C11C2411yescharacteristic
357C2×Q8×C11C2411yescharacteristic
358C2×Q8×C11C2411yescharacteristic
359C2×D4×C11—21no—
360C2×D4×C11—21no—
361C2×D4×C11—22no—
362C2×D4×C11—22no—
363C2×D4×C11—21no—
364C2×D4×C11—21no—
365C2×D4×C11—21no—
366C2×D4×C11—22no—
367C2×D4×C11—21no—
368C2×D4×C11—21no—
369C2×D4×C11—22no—
370C2×D4×C11—21no—
371C2×D4×C11—21no—
372C2×D4×C11—21no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—22no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—44no—
386C2×D4×C11—44no—
387C2×D4×C11—82no—
388C2×D4×C11C2412yes—
389C2×D4×C11C2411yescharacteristic
390C2×D4×C11C2411yescharacteristic
391C2×D4×C11C2412yes—
392C2×D4×C11C2411yescharacteristic
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—21no—
396C22×C4×C11—21no—
397C22×C4×C11—21no—
398C22×C4×C11—21no—
399C22×C4×C11—21no—
400C22×C4×C11—22no—
401C22×C4×C11—21no—
402C22×C4×C11—22no—
403C22×C4×C11—21no—
404C22×C4×C11—21no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—44no—
409C22×C4×C11—44no—
410C22×C4×C11C2×D411yescharacteristic
411C22×C4×C11C2×D411yescharacteristic
412C22×C4×C11C2×D411yescharacteristic
413C22×C4×C11C2×D412yes—
414C22×C4×C11C2×D412yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C11×Q16—41no—
419C11×Q16—41no—
420C11×Q16—42no—
421C11×SD16—42no—
422C11×SD16—42no—
423C11×SD16—41no—
424C11×SD16—41no—
425C11×SD16—41no—
426C11×SD16—41no—
427C11×SD16—42no—
428C11×SD16—42no—
429C11×SD16—42no—
430C11×SD16—42no—
431C11×D8—42no—
432C11×D8—42no—
433C11×D8—41no—
434C11×D8—41no—
435C11×D8—42no—
436C11×D8—42no—
437C11×D8—42no—
438C11×M16—22no—
439C11×M16—22no—
440C2×C8×C11—22no—
441C2×C8×C11—22no—
442C2×C8×C11C2411yescharacteristic
443C2×C8×C11C2411yescharacteristic
444C2×C8×C11C2412yes—
445C2×C8×C11C2412yes—
446C2×C8×C11C2411yescharacteristic
447C2×C8×C11C2411yescharacteristic
448C11×C4⋊C4—21no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—21no—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—21no—
459C11×C4⋊C4C2×D411yescharacteristic
460C11×C4⋊C4C2×D411yescharacteristic
461C11×C4⋊C4C2×D411yescharacteristic
462C11×C4⋊C4C2×D411yescharacteristic
463C11×C4⋊C4C2×D412yes—
464C11×C4⋊C4C2×D412yes—
465C11×C4⋊C4C2412yes—
466C11×C4⋊C4C2411yescharacteristic
467C11×C4⋊C4C2411yescharacteristic
468C11×C22⋊C4—21no—
469C11×C22⋊C4—21no—
470C11×C22⋊C4—21no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—21no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—21no—
488C11×C22⋊C4C2×D412yes—
489C11×C22⋊C4C2×D412yes—
490C11×C22⋊C4C2×D412yes—
491C11×C22⋊C4C2×D412yes—
492C42×C11—22no—
493C42×C11—21no—
494C42×C11C2×D412yes—
495C42×C11C2×D412yes—
496C42×C11C2412yes—
497C42×C11C2412yes—
498#3494C2×C1111yescharacteristic, complemented
499#3449C2×C1111yescharacteristic, complemented
500#3225C2×C1112yescomplemented
501#3224C2×C1112yescomplemented
502#3221C2×C1112yescomplemented
503#3220C2×C1112yescomplemented
504#3219C2×C1112yescomplemented
505#3214C2×C1112yescomplemented
506#3212C2×C1112yescomplemented
507#3207C2×C1112yescomplemented
508#3155C2×C1111yescharacteristic, complemented
509#3154C2×C1111yescharacteristic, complemented
510#3137C2×C1111yescharacteristic, complemented
511#3136C2×C1111yescharacteristic, complemented
512#3046C2×C1111yescharacteristic, complemented
513#3045C2×C1111yescharacteristic, complemented
514#3042C2×C1111yescharacteristic, complemented
515#3041C2×C1111yescharacteristic, complemented
516#3006C2×C1111yescharacteristic, complemented
517#3005C2×C1111yescharacteristic, complemented
518#3002C2×C1111yescharacteristic, complemented
519C2×#449C2×C1111yescharacteristic, complemented
520#2924C2×C1111yescharacteristic, complemented
521C23×C11—22no—
522C23×C11—22no—
523C23×C11—21no—
524C23×C11—22no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—41no—
528C23×C11—41no—
529C23×C11—42no—
530C23×C11—42no—
531C23×C11—42no—
532C23×C11—81no—
533C23×C11—81no—
534C23×C11—81no—
535C23×C11—81no—
536C23×C11—81no—
537C23×C11—81no—
538C23×C11C22×D411yescharacteristic
539C23×C11C22×D411yescharacteristic
540C23×C11C22×D411yescharacteristic
541Q8×C11—21no—
542Q8×C11—22no—
543Q8×C11—21no—
544Q8×C11—21no—
545Q8×C11—21no—
546Q8×C11—22no—
547Q8×C11—21no—
548Q8×C11—21no—
549Q8×C11—42no—
550Q8×C11—42no—
551Q8×C11—82no—
552D4×C11—22no—
553D4×C11—21no—
554D4×C11—22no—
555D4×C11—21no—
556D4×C11—21no—
557D4×C11—22no—
558D4×C11—21no—
559D4×C11—22no—
560D4×C11—21no—
561D4×C11—21no—
562D4×C11—42no—
563D4×C11—44no—
564D4×C11—44no—
565D4×C11—42no—
566D4×C11—42no—
567D4×C11—44no—
568D4×C11—42no—
569D4×C11—42no—
570D4×C11—42no—
571D4×C11—42no—
572D4×C11—42no—
573D4×C11—42no—
574D4×C11—82no—
575D4×C11—82no—
576D4×C11—82no—
577D4×C11—82no—
578D4×C11—82no—
579D4×C11—82no—
580D4×C11—81no—
581D4×C11—82no—
582C2×C4×C11—22no—
583C2×C4×C11—22no—
584C2×C4×C11—22no—
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—21no—
595C2×C4×C11—21no—
596C2×C4×C11—42no—
597C2×C4×C11—42no—
598C2×C4×C11—44no—
599C2×C4×C11—42no—
600C2×C4×C11—42no—
601C2×C4×C11—44no—
602C2×C4×C11—42no—
603C2×C4×C11—42no—
604C2×C4×C11—42no—
605C2×C4×C11—42no—
606C2×C4×C11—42no—
607C2×C4×C11—82no—
608C2×C4×C11—82no—
609C2×C4×C11—82no—
610C2×C4×C11—81no—
611C2×C4×C11C22×D412yes—
612C2×C4×C11C22×D411yescharacteristic
613C2×C4×C11C22×D412yes—
614C2×C4×C11C22×D412yes—
615C2×C4×C11C22×D412yes—
616C2×C4×C11C22×D411yescharacteristic
617C2×C4×C11C22×D411yescharacteristic
618C2×C4×C11H(5,𝔽2)12yes—
619C2×C4×C11H(5,𝔽2)12yes—
620C2×C4×C11C2511yescharacteristic
621C8×C11—21no—
622C8×C11—21no—
623C8×C11—21no—
624C8×C11—21no—
625C8×C11—22no—
626C8×C11—22no—
627C22×#41C22×C1111yescharacteristic
628C22×#41C22×C1111yescharacteristic
629C2×#137C22×C1111yescharacteristic, complemented
630C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
631C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
632C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
633C2×#135C22×C1111yescharacteristic
634C2×#135C22×C1111yescharacteristic
635C22×SD16C22×C1111yescharacteristic, complemented
636C22×D8C22×C1111yescharacteristic, complemented
637#555—21no—
638#553—21no—
639#553—21no—
640#551—22no—
641#547—21no—
642#546—22no—
643#544C22×C1111yescharacteristic, complemented
644#542C22×C1112yescomplemented
645#540C22×C1112yescomplemented
646#537—21no—
647#537—21no—
648#536C22×C1111yescharacteristic
649#536C22×C1111yescharacteristic
650#536C22×C1112yescomplemented
651#535C22×C1111yescharacteristic
652#535C22×C1111yescharacteristic
653#535C22×C1111yescharacteristic, complemented
654#535C22×C1112yescomplemented
655#534—22no—
656#532C22×C1112yescomplemented
657#532C22×C1112yescomplemented
658#532C22×C1112yescomplemented
659#529C22×C1112yescomplemented
660#525—22no—
661#525—21no—
662#525—21no—
663#525C22×C1111yescharacteristic
664C2×#121C22×C1111yescharacteristic
665#520C22×C1111yescharacteristic, complemented
666#518C22×C1111yescharacteristic, complemented
667C2×#117C22×C1111yescharacteristic
668#497C22×C1112yescomplemented
669#496C22×C1112yescomplemented
670#496C22×C1112yescomplemented
671#496C22×C1112yescomplemented
672#495C22×C1112yescomplemented
673#495C22×C1112yescomplemented
674#493C22×C1112yescomplemented
675#492C22×C1112yescomplemented
676#491C22×C1112yescomplemented
677#490C22×C1112yescomplemented
678#489C22×C1112yescomplemented
679#489C22×C1112yescomplemented
680#488C22×C1112yescomplemented
681#488C22×C1112yescomplemented
682#487C22×C1112yescomplemented
683#486C22×C1112yescomplemented
684#464C22×C1112yescomplemented
685#464C22×C1112yescomplemented
686#463C22×C1112yescomplemented
687#463C22×C1112yescomplemented
688#463C22×C1112yescomplemented
689#463C22×C1112yescomplemented
690#463C22×C1112yescomplemented
691#463C22×C1112yescomplemented
692#462C22×C1112yescomplemented
693#461C22×C1112yescomplemented
694#461C22×C1112yescomplemented
695#461C22×C1112yescomplemented
696#460C22×C1112yescomplemented
697#459C22×C1112yescomplemented
698#459C22×C1112yescomplemented
699#459C22×C1112yescomplemented
700#452C22×C1111yescharacteristic, complemented
701#452C22×C1112yescomplemented
702#452C22×C1111yescharacteristic, complemented
703#452C22×C1112yescomplemented
704#451C22×C1111yescharacteristic, complemented
705#450C22×C1111yescharacteristic, complemented
706#449C22×C1112yes—
707#449C22×C1112yes—
708#449C22×C1111yescharacteristic, complemented
709#449C22×C1112yescomplemented
710#449C22×C1112yescomplemented
711#449C22×C1112yescomplemented
712#449C22×C1112yescomplemented
713#449C22×C1111yescharacteristic, complemented
714#449C22×C1112yescomplemented
715#449C22×C1112yescomplemented
716#448C22×C1111yescharacteristic, complemented
717#448C22×C1112yescomplemented
718#447C22×C1111yescharacteristic, complemented
719#447C22×C1112yescomplemented
720#433C22×C1112yescomplemented
721#433C22×C1112yescomplemented
722#432C22×C1112yescomplemented
723#431C22×C1112yescomplemented
724#424C22×C1111yescharacteristic, complemented
725#424C22×C1111yescharacteristic, complemented
726#419C22×C1111yescharacteristic, complemented
727#418C22×C1111yescharacteristic, complemented
728#417C22×C1111yescharacteristic
729#417C22×C1111yescharacteristic
730#416C22×C1111yescharacteristic
731#416C22×C1111yescharacteristic
732C2×#103C22×C1111yescharacteristic, complemented
733C2×#102C22×C1111yescharacteristic, complemented
734#407C22×C1111yescharacteristic
735C2×C22⋊C8C22×C1111yescharacteristic
736#405C22×C1111yescharacteristic, complemented
737#405C22×C1111yescharacteristic, complemented
738C22×C11—21no—
739C22×C11—21no—
740C22×C11—21no—
741C22×C11—21no—
742C22×C11—21no—
743C22×C11—21no—
744C22×C11—21no—
745C22×C11—21no—
746C22×C11—42no—
747C22×C11—41no—
748C22×C11—42no—
749C22×C11—41no—
750C22×C11—41no—
751C22×C11—41no—
752C22×C11—42no—
753C22×C11—42no—
754C22×C11—41no—
755C22×C11—41no—
756C22×C11—42no—
757C22×C11—41no—
758C22×C11—41no—
759C22×C11—41no—
760C22×C11—42no—
761C22×C11—82no—
762C22×C11—84no—
763C22×C11—84no—
764C22×C11—162no—
765C22×C11#53512yes—
766C22×C11C23×D411yescharacteristic
767C4×C11—22no—
768C4×C11—22no—
769C4×C11—22no—
770C4×C11—22no—
771C4×C11—21no—
772C4×C11—21no—
773C4×C11—41no—
774C4×C11—42no—
775C4×C11—41no—
776C4×C11—42no—
777C4×C11—41no—
778C4×C11—41no—
779C4×C11—41no—
780C4×C11#53512yes—
781C4×C11C2×H(5,𝔽2)11yescharacteristic
782C4×C11C2×H(5,𝔽2)11yescharacteristic
783C2×#41—21no—
784C2×#41—21no—
785C2×#41—21no—
786C2×#41—21no—
787C2×#41—22no—
788C2×#41—42no—
789C2×#41—42no—
790C2×#41—42no—
791C2×#41—42no—
792C2×#41C23×C1111yescharacteristic
793C2×#41C23×C1111yescharacteristic
794C2×#41C23×C1111yescharacteristic
795C2×#41C23×C1111yescharacteristic
796C2×#41C23×C1112yes—
797C2×#41C23×C1111yescharacteristic
798C2×#41C23×C1112yes—
799C22×Q8C23×C1111yescharacteristic
800C22×Q8C23×C1111yescharacteristic
801C22×D4—21no—
802C22×D4—21no—
803C22×D4—21no—
804C22×D4C23×C1111yescharacteristic
805C22×D4C23×C1111yescharacteristic
806C22×D4C23×C1111yescharacteristic
807C23×C4—21no—
808C23×C4—21no—
809C23×C4C23×C1111yescharacteristic
810#137—42no—
811AGL(1,ℤ/8)—42no—
812AGL(1,ℤ/8)—42no—
813AGL(1,ℤ/8)—42no—
814#135—42no—
815#135—42no—
816C2×Q16C23×C1111yescharacteristic
817C2×Q16C23×C1111yescharacteristic
818C2×Q16C23×C1112yes—
819C2×SD16—42no—
820C2×SD16C23×C1112yes—
821C2×SD16C23×C1112yes—
822C2×SD16C23×C1111yescharacteristic
823C2×SD16C23×C1111yescharacteristic
824C2×SD16C23×C1111yescharacteristic
825C2×SD16C23×C1111yescharacteristic
826C2×SD16C23×C1112yes—
827C2×SD16C23×C1112yes—
828C2×SD16C23×C1112yes—
829C2×SD16C23×C1112yes—
830C2×D8—42no—
831C2×D8C23×C1112yes—
832C2×D8C23×C1112yes—
833C2×D8C23×C1111yescharacteristic
834C2×D8C23×C1111yescharacteristic
835C2×D8C23×C1112yes—
836C2×D8C23×C1112yes—
837C2×D8C23×C1112yes—
838C2×M16C23×C1111yescharacteristic
839C2×M16C23×C1111yescharacteristic
840C22×C8C23×C1111yescharacteristic
841C22×C8C23×C1111yescharacteristic
842C4⋊Q8—21no—
843C4⋊Q8C23×C1112yes—
844C4⋊Q8C23×C1112yes—
845C4⋊Q8C23×C1112yes—
846#127C23×C1112yes—
847#127C23×C1112yes—
848#127C23×C1112yes—
849#126—22no—
850#126—22no—
851#125—21no—
852#125C23×C1112yes—
853#124—22no—
854#124—22no—
855#124C23×C1112yes—
856#124C23×C1112yes—
857#124C23×C1112yes—
858#124C23×C1112yes—
859#124C23×C1112yes—
860#123—21no—
861#123—22no—
862#123—22no—
863#123—22no—
864#123—22no—
865#123—22no—
866#123—22no—
867#123—22no—
868#123—22no—
869C22⋊Q8—21no—
870C22⋊Q8—21no—
871C22⋊Q8—21no—
872C22⋊Q8—21no—
873C22⋊Q8—22no—
874C22⋊Q8—22no—
875C22⋊Q8—22no—
876C22⋊Q8—22no—
877C22⋊Q8C23×C1111yescharacteristic
878C22⋊Q8C23×C1111yescharacteristic
879#121—21no—
880#121—21no—
881#121—22no—
882#121—22no—
883#121—22no—
884#121—22no—
885#121—22no—
886#121—21no—
887#121—21no—
888#121—21no—
889#121—21no—
890#121—22no—
891#121—22no—
892#121—21no—
893#121—21no—
894#121—22no—
895#121—22no—
896#121C23×C1112yes—
897#121C23×C1112yes—
898#121C23×C1111yescharacteristic
899#121C23×C1111yescharacteristic
900#120—21no—
901#120—22no—
902#120—22no—
903#120—22no—
904#120—22no—
905#120—22no—
906C4×Q8C23×C1112yes—
907C4×D4—21no—
908C4×D4—21no—
909C4×D4—22no—
910C4×D4—21no—
911C4×D4—21no—
912C4×D4—22no—
913C4×D4—22no—
914C4×D4—22no—
915C4×D4—22no—
916C4×D4—22no—
917C4×D4—22no—
918C4×D4C23×C1112yes—
919C4×D4C23×C1112yes—
920C4×D4C23×C1112yes—
921#117—21no—
922#117—22no—
923#117D4×C1112yes—
924#117D4×C1111yescharacteristic
925#117D4×C1111yescharacteristic
926#117C23×C1111yescharacteristic
927#117C23×C1111yescharacteristic
928#117C23×C1111yescharacteristic
929#117C23×C1112yes—
930C2×C4⋊C4—21no—
931C2×C4⋊C4D4×C1111yescharacteristic
932C2×C4⋊C4D4×C1111yescharacteristic
933C2×C4⋊C4C23×C1111yescharacteristic
934C2×C22⋊C4—21no—
935C2×C22⋊C4—22no—
936C2×C22⋊C4D4×C1112yes—
937C2×C42C23×C1112yes—
938C4⋊C8C23×C1112yes—
939C4⋊C8C23×C1112yes—
940C4⋊C8C23×C1112yes—
941C4⋊C8C23×C1112yes—
942#103C23×C1112yes—
943#103C23×C1112yes—
944#103C23×C1111yescharacteristic
945#103C23×C1111yescharacteristic
946#103C23×C1111yescharacteristic
947#103C23×C1111yescharacteristic
948#103C23×C1112yes—
949#103C23×C1112yes—
950#103C23×C1112yes—
951#103C23×C1112yes—
952#102C23×C1112yes—
953#102C23×C1112yes—
954#102C23×C1111yescharacteristic
955#102C23×C1111yescharacteristic
956#102C23×C1111yescharacteristic
957#102C23×C1111yescharacteristic
958#102C23×C1112yes—
959#102C23×C1112yes—
960#102C23×C1112yes—
961#102C23×C1112yes—
962C22⋊C8C23×C1111yescharacteristic
963C22⋊C8C23×C1111yescharacteristic
964C22⋊C8C23×C1111yescharacteristic
965C22⋊C8C23×C1111yescharacteristic
966C22⋊C8C23×C1112yes—
967C22⋊C8C23×C1112yes—
968#97C23×C1112yes—
969#97C23×C1112yes—
970C4×C8C23×C1112yes—
971C4×C8C23×C1112yes—
972C2×C11—22no—
973C2×C11—41no—
974C2×C11—41no—
975C2×C11—81no—
976C2×C11—82no—
977C2×C11—81no—
978C2×C11—81no—
979C2×C11—82no—
980C2×C11C2×#53511yescharacteristic
981C2×C11#358411yescharacteristic
982C2×C11#358511yescharacteristic
983C24—21no—
984C24—21no—
985C24—21no—
986C24C2×D4×C1111yescharacteristic
987#41—22no—
988#41—22no—
989#41—22no—
990#41—22no—
991#41—22no—
992#41—22no—
993#41—42no—
994#41—42no—
995#41—42no—
996#41—41no—
997#41—41no—
998#41—42no—
999#41—41no—
1000#41—41no—
1001#41—44no—
1002#41—44no—
1003#41—44no—
1004#41—44no—
1005#41—84no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—22no—
1009C2×Q8—22no—
1010C2×Q8—22no—
1011C2×Q8—41no—
1012C2×Q8—41no—
1013C2×Q8C24×C1112yes—
1014C2×Q8C24×C1111yescharacteristic
1015C2×Q8C24×C1111yescharacteristic
1016C2×Q8C24×C1111yescharacteristic
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—22no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—22no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—22no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—22no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—82no—
1046C2×D4C24×C1112yes—
1047C2×D4C24×C1111yescharacteristic
1048C2×D4C24×C1111yescharacteristic
1049C2×D4C24×C1112yes—
1050C2×D4C24×C1111yescharacteristic
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—22no—
1059C22×C4—21no—
1060C22×C4—22no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4C2×D4×C1111yescharacteristic
1069C22×C4C2×D4×C1111yescharacteristic
1070C22×C4C2×D4×C1111yescharacteristic
1071C22×C4C2×D4×C1112yes—
1072C22×C4C2×D4×C1112yes—
1073C22×C4C24×C1111yescharacteristic
1074C22×C4C24×C1111yescharacteristic
1075C22×C4C24×C1111yescharacteristic
1076Q16—41no—
1077Q16—41no—
1078Q16—42no—
1079SD16—42no—
1080SD16—42no—
1081SD16—41no—
1082SD16—41no—
1083SD16—41no—
1084SD16—41no—
1085SD16—42no—
1086SD16—42no—
1087SD16—42no—
1088SD16—42no—
1089D8—42no—
1090D8—42no—
1091D8—41no—
1092D8—41no—
1093D8—42no—
1094D8—42no—
1095D8—42no—
1096M16—22no—
1097M16—22no—
1098C2×C8—22no—
1099C2×C8—22no—
1100C2×C8C24×C1111yescharacteristic
1101C2×C8C24×C1111yescharacteristic
1102C2×C8C24×C1112yes—
1103C2×C8C24×C1112yes—
1104C2×C8C24×C1111yescharacteristic
1105C2×C8C24×C1111yescharacteristic
1106C4⋊C4—21no—
1107C4⋊C4—22no—
1108C4⋊C4—21no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—21no—
1117C4⋊C4C2×D4×C1111yescharacteristic
1118C4⋊C4C2×D4×C1111yescharacteristic
1119C4⋊C4C2×D4×C1111yescharacteristic
1120C4⋊C4C2×D4×C1111yescharacteristic
1121C4⋊C4C2×D4×C1112yes—
1122C4⋊C4C2×D4×C1112yes—
1123C4⋊C4C24×C1112yes—
1124C4⋊C4C24×C1111yescharacteristic
1125C4⋊C4C24×C1111yescharacteristic
1126C22⋊C4—21no—
1127C22⋊C4—21no—
1128C22⋊C4—21no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—21no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—21no—
1146C22⋊C4C2×D4×C1112yes—
1147C22⋊C4C2×D4×C1112yes—
1148C22⋊C4C2×D4×C1112yes—
1149C22⋊C4C2×D4×C1112yes—
1150C42—22no—
1151C42—21no—
1152C42C2×D4×C1112yes—
1153C42C2×D4×C1112yes—
1154C42C24×C1112yes—
1155C42C24×C1112yes—
1156C11#6081511yescharacteristic, direct product factor, Sylow
1157C23—22no—
1158C23—22no—
1159C23—21no—
1160C23—22no—
1161C23—21no—
1162C23—21no—
1163C23—41no—
1164C23—41no—
1165C23—42no—
1166C23—42no—
1167C23—42no—
1168C23—81no—
1169C23—81no—
1170C23—81no—
1171C23—81no—
1172C23—81no—
1173C23—81no—
1174C23C22×D4×C1111yescharacteristic
1175C23C22×D4×C1111yescharacteristic
1176C23C22×D4×C1111yescharacteristic
1177Q8—21no—
1178Q8—22no—
1179Q8—21no—
1180Q8—21no—
1181Q8—21no—
1182Q8—22no—
1183Q8—21no—
1184Q8—21no—
1185Q8—42no—
1186Q8—42no—
1187Q8—82no—
1188D4—22no—
1189D4—21no—
1190D4—22no—
1191D4—21no—
1192D4—21no—
1193D4—22no—
1194D4—21no—
1195D4—22no—
1196D4—21no—
1197D4—21no—
1198D4—42no—
1199D4—44no—
1200D4—44no—
1201D4—42no—
1202D4—42no—
1203D4—44no—
1204D4—42no—
1205D4—42no—
1206D4—42no—
1207D4—42no—
1208D4—42no—
1209D4—42no—
1210D4—82no—
1211D4—82no—
1212D4—82no—
1213D4—82no—
1214D4—82no—
1215D4—82no—
1216D4—81no—
1217D4—82no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—42no—
1233C2×C4—42no—
1234C2×C4—44no—
1235C2×C4—42no—
1236C2×C4—42no—
1237C2×C4—44no—
1238C2×C4—42no—
1239C2×C4—42no—
1240C2×C4—42no—
1241C2×C4—42no—
1242C2×C4—42no—
1243C2×C4—82no—
1244C2×C4—82no—
1245C2×C4—82no—
1246C2×C4—81no—
1247C2×C4C22×D4×C1112yes—
1248C2×C4C22×D4×C1111yescharacteristic
1249C2×C4C22×D4×C1112yes—
1250C2×C4C22×D4×C1112yes—
1251C2×C4C22×D4×C1112yes—
1252C2×C4C22×D4×C1111yescharacteristic
1253C2×C4C22×D4×C1111yescharacteristic
1254C2×C4C11×H(5,𝔽2)12yes—
1255C2×C4C11×H(5,𝔽2)12yes—
1256C2×C4C25×C1111yescharacteristic
1257C8—21no—
1258C8—21no—
1259C8—21no—
1260C8—21no—
1261C8—22no—
1262C8—22no—
1263C22—21no—
1264C22—21no—
1265C22—21no—
1266C22—21no—
1267C22—21no—
1268C22—21no—
1269C22—21no—
1270C22—21no—
1271C22—42no—
1272C22—41no—
1273C22—41no—
1274C22—41no—
1275C22—42no—
1276C22—42no—
1277C22—41no—
1278C22—42no—
1279C22—41no—
1280C22—41no—
1281C22—41no—
1282C22—42no—
1283C22—42no—
1284C22—41no—
1285C22—41no—
1286C22—82no—
1287C22—84no—
1288C22—84no—
1289C22—162no—
1290C22C11×#53512yes—
1291C22C23×D4×C1111yescharacteristic
1292C4—21no—
1293C4—21no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—22no—
1298C4—42no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—42no—
1304C4—41no—
1305C4C11×#53512yes—
1306C4C2×C11×H(5,𝔽2)11yescharacteristic
1307C4C2×C11×H(5,𝔽2)11yescharacteristic
1308C2—22no—
1309C2—41no—
1310C2—41no—
1311C2—82no—
1312C2—81no—
1313C2—81no—
1314C2—82no—
1315C2—81no—
1316C2C2×C11×#53511yescharacteristic
1317C2C11×#358411yescharacteristic
1318C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C11×#117 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3494C2semidirect
2. C11×#3449C2semidirect
3. C11×#3225C2semidirect
4. C11×#3224C2semidirect
5. C11×#3221C2semidirect
6. C11×#3220C2semidirect
7. C11×#3219C2semidirect
8. C11×#3214C2semidirect
9. C11×#3212C2semidirect
10. C11×#3207C2semidirect
11. C11×#3155C2semidirect
12. C11×#3154C2semidirect
13. C11×#3137C2semidirect
14. C11×#3136C2semidirect
15. C11×#3046C2semidirect
16. C11×#3045C2semidirect
17. C11×#3042C2semidirect
18. C11×#3041C2semidirect
19. C11×#3006C2semidirect
20. C11×#3005C2semidirect
21. C11×#3002C2semidirect
22. C2×C11×#449C2semidirect
23. C11×#2924C2semidirect
26. C2×C11×#137C22semidirect
29. C2×C11×AGL(1,ℤ/8)C22semidirect
32. C22×C11×SD16C22semidirect
33. C22×C11×D8C22semidirect
40. C11×#544C22semidirect
41. C11×#542C22semidirect
42. C11×#540C22semidirect
47. C11×#536C22semidirect
50. C11×#535C22semidirect
51. C11×#535C22semidirect
53. C11×#532C22semidirect
54. C11×#532C22semidirect
55. C11×#532C22semidirect
56. C11×#529C22semidirect
62. C11×#520C22semidirect
63. C11×#518C22semidirect
65. C11×#497C22semidirect
66. C11×#496C22semidirect
67. C11×#496C22semidirect
68. C11×#496C22semidirect
69. C11×#495C22semidirect
70. C11×#495C22semidirect
71. C11×#493C22semidirect
72. C11×#492C22semidirect
73. C11×#491C22semidirect
74. C11×#490C22semidirect
75. C11×#489C22semidirect
76. C11×#489C22semidirect
77. C11×#488C22semidirect
78. C11×#488C22semidirect
79. C11×#487C22semidirect
80. C11×#486C22semidirect
81. C11×#464C22semidirect
82. C11×#464C22semidirect
83. C11×#463C22semidirect
84. C11×#463C22semidirect
85. C11×#463C22semidirect
86. C11×#463C22semidirect
87. C11×#463C22semidirect
88. C11×#463C22semidirect
89. C11×#462C22semidirect
90. C11×#461C22semidirect
91. C11×#461C22semidirect
92. C11×#461C22semidirect
93. C11×#460C22semidirect
94. C11×#459C22semidirect
95. C11×#459C22semidirect
96. C11×#459C22semidirect
97. C11×#452C22semidirect
98. C11×#452C22semidirect
99. C11×#452C22semidirect
100. C11×#452C22semidirect
101. C11×#451C22semidirect
102. C11×#450C22semidirect
105. C11×#449C22semidirect
106. C11×#449C22semidirect
107. C11×#449C22semidirect
108. C11×#449C22semidirect
109. C11×#449C22semidirect
110. C11×#449C22semidirect
111. C11×#449C22semidirect
112. C11×#449C22semidirect
113. C11×#448C22semidirect
114. C11×#448C22semidirect
115. C11×#447C22semidirect
116. C11×#447C22semidirect
117. C11×#433C22semidirect
118. C11×#433C22semidirect
119. C11×#432C22semidirect
120. C11×#431C22semidirect
121. C11×#424C22semidirect
122. C11×#424C22semidirect
123. C11×#419C22semidirect
124. C11×#418C22semidirect
129. C2×C11×#103C22semidirect
130. C2×C11×#102C22semidirect
133. C11×#405C22semidirect
134. C11×#405C22semidirect
324. #60815C11direct (N × H)
498. #3494C2×C11semidirect
499. #3449C2×C11semidirect
500. #3225C2×C11semidirect
501. #3224C2×C11semidirect
502. #3221C2×C11semidirect
503. #3220C2×C11semidirect
504. #3219C2×C11semidirect
505. #3214C2×C11semidirect
506. #3212C2×C11semidirect
507. #3207C2×C11semidirect
508. #3155C2×C11semidirect
509. #3154C2×C11semidirect
510. #3137C2×C11semidirect
511. #3136C2×C11semidirect
512. #3046C2×C11semidirect
513. #3045C2×C11semidirect
514. #3042C2×C11semidirect
515. #3041C2×C11semidirect
516. #3006C2×C11semidirect
517. #3005C2×C11semidirect
518. #3002C2×C11semidirect
519. C2×#449C2×C11semidirect
520. #2924C2×C11semidirect
629. C2×#137C22×C11semidirect
632. C2×AGL(1,ℤ/8)C22×C11semidirect
635. C22×SD16C22×C11semidirect
636. C22×D8C22×C11semidirect
643. #544C22×C11semidirect
644. #542C22×C11semidirect
645. #540C22×C11semidirect
650. #536C22×C11semidirect
653. #535C22×C11semidirect
654. #535C22×C11semidirect
656. #532C22×C11semidirect
657. #532C22×C11semidirect
658. #532C22×C11semidirect
659. #529C22×C11semidirect
665. #520C22×C11semidirect
666. #518C22×C11semidirect
668. #497C22×C11semidirect
669. #496C22×C11semidirect
670. #496C22×C11semidirect
671. #496C22×C11semidirect
672. #495C22×C11semidirect
673. #495C22×C11semidirect
674. #493C22×C11semidirect
675. #492C22×C11semidirect
676. #491C22×C11semidirect
677. #490C22×C11semidirect
678. #489C22×C11semidirect
679. #489C22×C11semidirect
680. #488C22×C11semidirect
681. #488C22×C11semidirect
682. #487C22×C11semidirect
683. #486C22×C11semidirect
684. #464C22×C11semidirect
685. #464C22×C11semidirect
686. #463C22×C11semidirect
687. #463C22×C11semidirect
688. #463C22×C11semidirect
689. #463C22×C11semidirect
690. #463C22×C11semidirect
691. #463C22×C11semidirect
692. #462C22×C11semidirect
693. #461C22×C11semidirect
694. #461C22×C11semidirect
695. #461C22×C11semidirect
696. #460C22×C11semidirect
697. #459C22×C11semidirect
698. #459C22×C11semidirect
699. #459C22×C11semidirect
700. #452C22×C11semidirect
701. #452C22×C11semidirect
702. #452C22×C11semidirect
703. #452C22×C11semidirect
704. #451C22×C11semidirect
705. #450C22×C11semidirect
708. #449C22×C11semidirect
709. #449C22×C11semidirect
710. #449C22×C11semidirect
711. #449C22×C11semidirect
712. #449C22×C11semidirect
713. #449C22×C11semidirect
714. #449C22×C11semidirect
715. #449C22×C11semidirect
716. #448C22×C11semidirect
717. #448C22×C11semidirect
718. #447C22×C11semidirect
719. #447C22×C11semidirect
720. #433C22×C11semidirect
721. #433C22×C11semidirect
722. #432C22×C11semidirect
723. #431C22×C11semidirect
724. #424C22×C11semidirect
725. #424C22×C11semidirect
726. #419C22×C11semidirect
727. #418C22×C11semidirect
732. C2×#103C22×C11semidirect
733. C2×#102C22×C11semidirect
736. #405C22×C11semidirect
737. #405C22×C11semidirect
1156. C11#60815direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34942
C11×#34492
C11×#32252
C11×#32242
C11×#32212
C11×#32202
C11×#32192
C11×#32142
C11×#32122
C11×#32072
C11×#31552
C11×#31542
C11×#31372
C11×#31362
C11×#30462
C11×#30452
C11×#30422
C11×#30412
C11×#30062
C11×#30052
C11×#30022
C2×C11×#4492
C11×#29242
#6081511