Finite Group Databasebeta

← C11×#60767 #14637960

Subgroups — C11×#60767 #14637960

Order 2816.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3488C211yesmaximal, characteristic, complemented
2C11×#3449C211yesmaximal, characteristic, complemented
3C11×#3201C212yesmaximal, complemented
4C11×#3200C212yesmaximal, complemented
5C11×#3199C212yesmaximal, complemented
6C11×#3198C212yesmaximal, complemented
7C11×#3197C212yesmaximal, complemented
8C11×#3194C212yesmaximal, complemented
9C11×#3191C212yesmaximal, complemented
10C11×#3188C212yesmaximal, complemented
11C11×#3099C211yesmaximal, characteristic, complemented
12C11×#3098C211yesmaximal, characteristic, complemented
13C11×#3093C211yesmaximal, characteristic, complemented
14C2×C11×#482C211yesmaximal, characteristic, complemented
15C11×#3062C211yesmaximal, characteristic, complemented
16C11×#3062C211yesmaximal, characteristic, complemented
17C11×#3061C211yesmaximal, characteristic, complemented
18C11×#3060C211yesmaximal, characteristic, complemented
19C11×#3012C211yesmaximal, characteristic, complemented
20C11×#3012C211yesmaximal, characteristic, complemented
21C11×#3006C211yesmaximal, characteristic, complemented
22C11×#3002C211yesmaximal, characteristic, complemented
23C11×#2880C211yesmaximal, characteristic, complemented
24C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
25C22×C11×#41C2211yescharacteristic
26C22×C11×#41C2211yescharacteristic, complemented
27C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
28C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
29C2×C11×#135C2211yescharacteristic, complemented
30C2×C11×#135C2211yescharacteristic, complemented
31C2×C11×#131C2211yescharacteristic, complemented
32C2×C11×#131C2211yescharacteristic, complemented
33C11×#550—21no—
34C11×#548—21no—
35C11×#546—22no—
36C11×#546—21no—
37D42×C11—21no—
38D42×C11—22no—
39C11×#537C2211yescharacteristic
40C11×#537C2211yescharacteristic
41C11×#537C2212yes—
42C11×#537C2211yescharacteristic, complemented
43C11×#537C2211yescharacteristic, complemented
44C11×#537C2211yescharacteristic, complemented
45C11×#536—21no—
46C11×#536C2212yescomplemented
47C11×#535—21no—
48C11×#535C2212yes—
49C11×#535C2212yescomplemented
50C11×#535C2211yescharacteristic, complemented
51C11×#534—22no—
52C11×#532—22no—
53C11×#525—21no—
54C11×#525—21no—
55C11×#525C2211yescharacteristic
56C11×#525C2212yescomplemented
57C11×#525C2212yescomplemented
58C11×#525C2212yescomplemented
59C2×C11×#121C2211yescharacteristic
60C2×C11×#121C2212yescomplemented
61C11×#520C2211yescharacteristic, complemented
62C2×C11×#117C2211yescharacteristic, complemented
63C11×#485C2212yescomplemented
64C11×#485C2212yescomplemented
65C11×#485C2212yescomplemented
66C11×#485C2212yescomplemented
67C11×#484C2212yescomplemented
68C11×#483C2212yescomplemented
69C11×#482C2212yescomplemented
70C11×#482C2212yescomplemented
71C11×#482C2212yescomplemented
72C11×#482C2212yescomplemented
73C11×#482C2212yescomplemented
74C11×#482C2212yescomplemented
75C11×#482C2212yescomplemented
76C11×#482C2212yescomplemented
77C11×#481C2212yescomplemented
78C11×#480C2212yescomplemented
79C11×#470C2212yescomplemented
80C11×#469C2212yescomplemented
81C11×#469C2212yescomplemented
82C11×#469C2212yescomplemented
83C11×#468C2212yescomplemented
84C11×#468C2212yescomplemented
85C11×#468C2212yescomplemented
86C11×#468C2212yescomplemented
87C11×#467C2212yescomplemented
88C11×#466C2212yescomplemented
89C11×#466C2212yescomplemented
90C11×#466C2212yescomplemented
91C11×#465C2212yescomplemented
92C11×#465C2212yescomplemented
93C11×#465C2212yescomplemented
94C11×#465C2212yescomplemented
95C11×#452C2211yescharacteristic, complemented
96C11×#452C2212yescomplemented
97C11×#452C2211yescharacteristic, complemented
98C11×#452C2212yescomplemented
99C11×#451C2211yescharacteristic, complemented
100C11×#450C2212yescomplemented
101C11×#450C2212yescomplemented
102C11×#450C2211yescharacteristic, complemented
103C11×#449C2211yescharacteristic, complemented
104C11×#449C2212yescomplemented
105C11×#449C2212yescomplemented
106C11×#449C2212yescomplemented
107C11×#449C2211yescharacteristic, complemented
108C11×#449C2212yescomplemented
109C11×#448C2211yescharacteristic, complemented
110C11×#448C2212yescomplemented
111C11×#447C2212yescomplemented
112C11×#447C2212yescomplemented
113C11×#447C2212yescomplemented
114C11×#447C2211yescharacteristic, complemented
115C11×#428C2211yescharacteristic, complemented
116C11×#428C2211yescharacteristic, complemented
117C2×C11×#107C2211yescharacteristic, complemented
118C2×C11×#106C2211yescharacteristic, complemented
119C11×#417C2211yescharacteristic, complemented
120C11×#417C2211yescharacteristic, complemented
121C11×#417C2211yescharacteristic, complemented
122C11×#417C2211yescharacteristic, complemented
123C11×#416C2211yescharacteristic, complemented
124C11×#416C2211yescharacteristic, complemented
125C2×C11×#102C2211yescharacteristic, complemented
126C2×C11×#102C2211yescharacteristic, complemented
127C11×#408C2212yescomplemented
128C11×#408C2212yescomplemented
129C11×#408C2211yescharacteristic, complemented
130C11×#408C2211yescharacteristic, complemented
131C11×#407C2212yescomplemented
132C11×#407C2211yescharacteristic, complemented
133C2×C11×C22⋊C8C2212yescomplemented
134C2×C11×C22⋊C8C2211yescharacteristic, complemented
135C11×H(5,𝔽2)—42no—
136C11×H(5,𝔽2)—42no—
137C2×C11×#41—21no—
138C2×C11×#41—21no—
139C2×C11×#41—21no—
140C2×C11×#41—42no—
141C2×C11×#41—42no—
142C2×C11×#41—42no—
143C2×C11×#41—42no—
144C2×C11×#41D411yescharacteristic
145C2×C11×#41D411yescharacteristic
146C2×C11×#41D412yes—
147C2×C11×#41C2311yescharacteristic
148C2×C11×#41C2311yescharacteristic
149C2×C11×#41C2311yescharacteristic
150C2×C11×#41C2311yescharacteristic
151C2×C11×#41C2311yescharacteristic
152C2×C11×#41C2312yes—
153C2×C11×#41C2311yescharacteristic
154C2×C11×#41C2311yescharacteristic
155C2×C11×#41C2312yes—
156C22×Q8×C11D411yescharacteristic
157C22×Q8×C11C2311yescharacteristic
158C22×D4×C11—21no—
159C22×D4×C11—21no—
160C22×D4×C11—22no—
161C22×D4×C11—22no—
162C22×D4×C11—21no—
163C22×D4×C11D412yes—
164C22×D4×C11D411yescharacteristic
165C22×D4×C11C2311yescharacteristic
166C22×D4×C11C2312yes—
167C22×D4×C11C2311yescharacteristic
168C23×C4×C11—21no—
169C23×C4×C11C2311yescharacteristic
170C23×C4×C11C2312yes—
171C11×AGL(1,ℤ/8)—42no—
172C11×AGL(1,ℤ/8)—42no—
173C11×#135—42no—
174C11×#135—42no—
175C2×C11×Q16C2311yescharacteristic
176C2×C11×Q16C2311yescharacteristic
177C2×C11×SD16C2311yescharacteristic
178C2×C11×SD16C2311yescharacteristic
179C2×C11×SD16C2311yescharacteristic
180C2×C11×SD16C2311yescharacteristic
181C2×C11×SD16C2312yes—
182C2×C11×SD16C2312yes—
183C2×C11×D8C2311yescharacteristic
184C2×C11×D8C2311yescharacteristic
185C2×C11×D8C2312yes—
186C2×C11×D8C2312yes—
187C11×#131—42no—
188C11×#131—42no—
189C2×C11×M16C2311yescharacteristic
190C2×C11×M16C2311yescharacteristic
191C2×C11×M16C2312yes—
192C2×C11×M16C2312yes—
193C22×C8×C11C2311yescharacteristic
194C22×C8×C11C2311yescharacteristic
195C22×C8×C11C2312yes—
196C22×C8×C11C2312yes—
197C11×C4⋊Q8—22no—
198C11×#127—22no—
199C11×#127—22no—
200C11×#127—21no—
201C11×#124—22no—
202C11×#124—22no—
203C11×#124—21no—
204C11×#124—22no—
205C11×#123—22no—
206C11×#123—22no—
207C11×#123—21no—
208C11×#123—22no—
209C11×#123—22no—
210C11×#123—22no—
211C11×C22⋊Q8—21no—
212C11×C22⋊Q8—21no—
213C11×C22⋊Q8—21no—
214C11×C22⋊Q8—21no—
215C11×C22⋊Q8—22no—
216C11×C22⋊Q8—21no—
217C11×C22⋊Q8C2311yescharacteristic
218C11×C22⋊Q8C2311yescharacteristic
219C11×C22⋊Q8C2312yes—
220C11×C22⋊Q8C2312yes—
221C11×C22⋊Q8C2312yes—
222C11×C22⋊Q8C2312yes—
223C11×C22⋊Q8C2312yes—
224C11×#121—21no—
225C11×#121—21no—
226C11×#121—21no—
227C11×#121—21no—
228C11×#121—22no—
229C11×#121—22no—
230C11×#121—22no—
231C11×#121—22no—
232C11×#121—22no—
233C11×#121—22no—
234C11×#121—22no—
235C11×#121—22no—
236C11×#121—21no—
237C11×#121—21no—
238C11×#121—21no—
239C11×#121—22no—
240C11×#121—22no—
241C11×#121C2312yes—
242C11×#121C2312yes—
243C11×#121C2311yescharacteristic
244C11×#121C2312yes—
245C11×#121C2312yes—
246C11×#121C2311yescharacteristic
247C11×#121C2312yes—
248C11×#121C2312yes—
249C11×#121C2312yes—
250C11×#121C2312yes—
251C11×#121C2312yes—
252C11×#120—21no—
253C11×#120—22no—
254C11×#120—22no—
255C11×#120—22no—
256C11×#120—22no—
257C11×#120—22no—
258C11×#120—22no—
259C11×#120—22no—
260C11×#120—22no—
261C4×Q8×C11—21no—
262C4×D4×C11—22no—
263C4×D4×C11—21no—
264C4×D4×C11—22no—
265C4×D4×C11—22no—
266C4×D4×C11—22no—
267C4×D4×C11—22no—
268C4×D4×C11—21no—
269C4×D4×C11—21no—
270C4×D4×C11—22no—
271C4×D4×C11—22no—
272C11×#117—21no—
273C11×#117—21no—
274C11×#117C2312yes—
275C11×#117C2312yes—
276C11×#117C2311yescharacteristic
277C11×#117C2312yes—
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C4⋊C4C2311yescharacteristic
280C2×C11×C4⋊C4C2311yescharacteristic
281C2×C11×C4⋊C4C2312yes—
282C2×C11×C22⋊C4—21no—
283C2×C11×C22⋊C4—21no—
284C2×C11×C22⋊C4—22no—
285C2×C42×C11—21no—
286C11×#107C2312yes—
287C11×#107C2312yes—
288C11×#107C2312yes—
289C11×#107C2312yes—
290C11×#106C2312yes—
291C11×#106C2312yes—
292C11×#106C2312yes—
293C11×#106C2312yes—
294C11×#103C2311yescharacteristic
295C11×#103C2311yescharacteristic
296C11×#103C2311yescharacteristic
297C11×#103C2311yescharacteristic
298C11×#103C2312yes—
299C11×#103C2312yes—
300C11×#103C2312yes—
301C11×#103C2312yes—
302C11×#102C2312yes—
303C11×#102C2312yes—
304C11×#102C2312yes—
305C11×#102C2312yes—
306C11×#102C2311yescharacteristic
307C11×#102C2311yescharacteristic
308C11×#102C2311yescharacteristic
309C11×#102C2311yescharacteristic
310C11×#102C2312yes—
311C11×#102C2312yes—
312C11×#102C2312yes—
313C11×#102C2312yes—
314C11×C22⋊C8C2311yescharacteristic
315C11×C22⋊C8C2312yes—
316C11×C22⋊C8C2311yescharacteristic
317C11×C22⋊C8C2311yescharacteristic
318C11×C22⋊C8C2312yes—
319C11×C22⋊C8C2311yescharacteristic
320C11×C22⋊C8C2312yes—
321C11×C22⋊C8C2312yes—
322C11×C22⋊C8C2312yes—
323C11×C22⋊C8C2312yes—
324#60767C1111yesmaximal, characteristic, direct product factor, Sylow
325C24×C11—22no—
326C24×C11—21no—
327C24×C11—21no—
328C24×C11C2×D411yescharacteristic
329C24×C11C2×D412yes—
330C11×#41—22no—
331C11×#41—22no—
332C11×#41—22no—
333C11×#41—22no—
334C11×#41—22no—
335C11×#41—22no—
336C11×#41—22no—
337C11×#41—22no—
338C11×#41—22no—
339C11×#41—22no—
340C11×#41—42no—
341C11×#41—42no—
342C11×#41—44no—
343C11×#41—42no—
344C11×#41—42no—
345C11×#41—41no—
346C11×#41—41no—
347C11×#41—41no—
348C11×#41—41no—
349C11×#41—42no—
350C11×#41—42no—
351C11×#41—44no—
352C11×#41—44no—
353C11×#41—44no—
354C2×Q8×C11—21no—
355C2×Q8×C11—42no—
356C2×Q8×C11—41no—
357C2×Q8×C11—41no—
358C2×Q8×C11C2×D411yescharacteristic
359C2×Q8×C11C2×D411yescharacteristic
360C2×Q8×C11C2×D412yes—
361C2×Q8×C11C2411yescharacteristic
362C2×Q8×C11C2411yescharacteristic
363C2×Q8×C11C2411yescharacteristic
364C2×D4×C11—21no—
365C2×D4×C11—22no—
366C2×D4×C11—21no—
367C2×D4×C11—21no—
368C2×D4×C11—22no—
369C2×D4×C11—21no—
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—21no—
383C2×D4×C11—21no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—42no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—42no—
390C2×D4×C11—42no—
391C2×D4×C11—44no—
392C2×D4×C11—48no—
393C2×D4×C11—44no—
394C2×D4×C11—44no—
395C2×D4×C11—82no—
396C2×D4×C11—84no—
397C2×D4×C11C2×D412yes—
398C2×D4×C11C2×D411yescharacteristic
399C2×D4×C11C2×D412yes—
400C2×D4×C11C2×D411yescharacteristic
401C2×D4×C11C2×D412yes—
402C2×D4×C11C2×D412yes—
403C2×D4×C11C2×D412yes—
404C2×D4×C11C2411yescharacteristic
405C2×D4×C11C2411yescharacteristic
406C2×D4×C11C2412yes—
407C2×D4×C11C2411yescharacteristic
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—21no—
411C22×C4×C11—21no—
412C22×C4×C11—21no—
413C22×C4×C11—22no—
414C22×C4×C11—21no—
415C22×C4×C11—21no—
416C22×C4×C11—21no—
417C22×C4×C11—22no—
418C22×C4×C11—21no—
419C22×C4×C11—21no—
420C22×C4×C11—21no—
421C22×C4×C11—42no—
422C22×C4×C11—42no—
423C22×C4×C11—44no—
424C22×C4×C11C2×D411yescharacteristic
425C22×C4×C11C2×D411yescharacteristic
426C22×C4×C11C2×D411yescharacteristic
427C22×C4×C11C2×D412yes—
428C22×C4×C11C2×D412yes—
429C22×C4×C11C2×D412yes—
430C22×C4×C11C2412yes—
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2412yes—
434C22×C4×C11C2411yescharacteristic
435C11×Q16—41no—
436C11×Q16—41no—
437C11×SD16—41no—
438C11×SD16—41no—
439C11×SD16—41no—
440C11×SD16—41no—
441C11×SD16—42no—
442C11×SD16—42no—
443C11×D8—41no—
444C11×D8—41no—
445C11×D8—42no—
446C11×D8—42no—
447C11×M16—22no—
448C11×M16—22no—
449C11×M16—42no—
450C11×M16—42no—
451C2×C8×C11—22no—
452C2×C8×C11—22no—
453C2×C8×C11—42no—
454C2×C8×C11—42no—
455C2×C8×C11C2411yescharacteristic
456C2×C8×C11C2411yescharacteristic
457C2×C8×C11C2411yescharacteristic
458C2×C8×C11C2411yescharacteristic
459C2×C8×C11C2412yes—
460C2×C8×C11C2412yes—
461C11×C4⋊C4—21no—
462C11×C4⋊C4—21no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—21no—
465C11×C4⋊C4—21no—
466C11×C4⋊C4—21no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4C2412yes—
473C11×C4⋊C4C2412yes—
474C11×C4⋊C4C2411yescharacteristic
475C11×C4⋊C4C2412yes—
476C11×C4⋊C4C2411yescharacteristic
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—21no—
481C11×C22⋊C4—21no—
482C11×C22⋊C4—21no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—21no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—21no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C42×C11—22no—
500C42×C11—22no—
501C42×C11—22no—
502C42×C11—21no—
503#3488C2×C1111yescharacteristic, complemented
504#3449C2×C1111yescharacteristic, complemented
505#3201C2×C1112yescomplemented
506#3200C2×C1112yescomplemented
507#3199C2×C1112yescomplemented
508#3198C2×C1112yescomplemented
509#3197C2×C1112yescomplemented
510#3194C2×C1112yescomplemented
511#3191C2×C1112yescomplemented
512#3188C2×C1112yescomplemented
513#3099C2×C1111yescharacteristic, complemented
514#3098C2×C1111yescharacteristic, complemented
515#3093C2×C1111yescharacteristic, complemented
516C2×#482C2×C1111yescharacteristic, complemented
517#3062C2×C1111yescharacteristic, complemented
518#3062C2×C1111yescharacteristic, complemented
519#3061C2×C1111yescharacteristic, complemented
520#3060C2×C1111yescharacteristic, complemented
521#3012C2×C1111yescharacteristic, complemented
522#3012C2×C1111yescharacteristic, complemented
523#3006C2×C1111yescharacteristic, complemented
524#3002C2×C1111yescharacteristic, complemented
525#2880C2×C1111yescharacteristic, complemented
526C23×C11—22no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—22no—
530C23×C11—21no—
531C23×C11—42no—
532C23×C11—41no—
533C23×C11—42no—
534C23×C11—41no—
535C23×C11—42no—
536C23×C11—42no—
537C23×C11—44no—
538C23×C11—42no—
539C23×C11—81no—
540C23×C11—81no—
541C23×C11—81no—
542C23×C11—82no—
543C23×C11—81no—
544C23×C11—82no—
545C23×C11C22×D412yes—
546C23×C11C22×D411yescharacteristic
547C23×C11C22×D411yescharacteristic
548C23×C11C22×D412yes—
549C23×C11C22×D411yescharacteristic
550Q8×C11—22no—
551Q8×C11—22no—
552Q8×C11—21no—
553Q8×C11—21no—
554Q8×C11—21no—
555Q8×C11—21no—
556Q8×C11—21no—
557Q8×C11—21no—
558Q8×C11—42no—
559Q8×C11—42no—
560D4×C11—24no—
561D4×C11—24no—
562D4×C11—22no—
563D4×C11—22no—
564D4×C11—21no—
565D4×C11—21no—
566D4×C11—22no—
567D4×C11—22no—
568D4×C11—21no—
569D4×C11—21no—
570D4×C11—21no—
571D4×C11—21no—
572D4×C11—42no—
573D4×C11—42no—
574D4×C11—42no—
575D4×C11—44no—
576D4×C11—42no—
577D4×C11—44no—
578D4×C11—42no—
579D4×C11—42no—
580D4×C11—42no—
581D4×C11—44no—
582D4×C11—42no—
583D4×C11—42no—
584D4×C11—42no—
585D4×C11—42no—
586D4×C11—82no—
587D4×C11—82no—
588D4×C11—82no—
589D4×C11—81no—
590D4×C11—82no—
591D4×C11—82no—
592D4×C11—82no—
593D4×C11—82no—
594D4×C11—82no—
595C2×C4×C11—22no—
596C2×C4×C11—22no—
597C2×C4×C11—22no—
598C2×C4×C11—22no—
599C2×C4×C11—22no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—22no—
605C2×C4×C11—22no—
606C2×C4×C11—21no—
607C2×C4×C11—22no—
608C2×C4×C11—22no—
609C2×C4×C11—22no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—42no—
615C2×C4×C11—42no—
616C2×C4×C11—42no—
617C2×C4×C11—42no—
618C2×C4×C11—42no—
619C2×C4×C11—44no—
620C2×C4×C11—42no—
621C2×C4×C11—42no—
622C2×C4×C11—42no—
623C2×C4×C11—42no—
624C2×C4×C11—81no—
625C2×C4×C11—81no—
626C2×C4×C11—81no—
627C2×C4×C11—82no—
628C2×C4×C11C22×D411yescharacteristic
629C2×C4×C11C22×D411yescharacteristic
630C2×C4×C11C22×D412yes—
631C2×C4×C11C22×D412yes—
632C2×C4×C11C22×D411yescharacteristic
633C2×C4×C11H(5,𝔽2)12yes—
634C2×C4×C11H(5,𝔽2)12yes—
635C2×C4×C11C2511yescharacteristic
636C8×C11—21no—
637C8×C11—21no—
638C8×C11—21no—
639C8×C11—21no—
640C8×C11—22no—
641C8×C11—22no—
642C2×H(5,𝔽2)C22×C1111yescharacteristic, complemented
643C22×#41C22×C1111yescharacteristic
644C22×#41C22×C1111yescharacteristic, complemented
645C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
646C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
647C2×#135C22×C1111yescharacteristic, complemented
648C2×#135C22×C1111yescharacteristic, complemented
649C2×#131C22×C1111yescharacteristic, complemented
650C2×#131C22×C1111yescharacteristic, complemented
651#550—21no—
652#548—21no—
653#546—22no—
654#546—21no—
655D42—21no—
656D42—22no—
657#537C22×C1111yescharacteristic
658#537C22×C1111yescharacteristic
659#537C22×C1112yes—
660#537C22×C1111yescharacteristic, complemented
661#537C22×C1111yescharacteristic, complemented
662#537C22×C1111yescharacteristic, complemented
663#536—21no—
664#536C22×C1112yescomplemented
665#535—21no—
666#535C22×C1112yes—
667#535C22×C1112yescomplemented
668#535C22×C1111yescharacteristic, complemented
669#534—22no—
670#532—22no—
671#525—21no—
672#525—21no—
673#525C22×C1111yescharacteristic
674#525C22×C1112yescomplemented
675#525C22×C1112yescomplemented
676#525C22×C1112yescomplemented
677C2×#121C22×C1111yescharacteristic
678C2×#121C22×C1112yescomplemented
679#520C22×C1111yescharacteristic, complemented
680C2×#117C22×C1111yescharacteristic, complemented
681#485C22×C1112yescomplemented
682#485C22×C1112yescomplemented
683#485C22×C1112yescomplemented
684#485C22×C1112yescomplemented
685#484C22×C1112yescomplemented
686#483C22×C1112yescomplemented
687#482C22×C1112yescomplemented
688#482C22×C1112yescomplemented
689#482C22×C1112yescomplemented
690#482C22×C1112yescomplemented
691#482C22×C1112yescomplemented
692#482C22×C1112yescomplemented
693#482C22×C1112yescomplemented
694#482C22×C1112yescomplemented
695#481C22×C1112yescomplemented
696#480C22×C1112yescomplemented
697#470C22×C1112yescomplemented
698#469C22×C1112yescomplemented
699#469C22×C1112yescomplemented
700#469C22×C1112yescomplemented
701#468C22×C1112yescomplemented
702#468C22×C1112yescomplemented
703#468C22×C1112yescomplemented
704#468C22×C1112yescomplemented
705#467C22×C1112yescomplemented
706#466C22×C1112yescomplemented
707#466C22×C1112yescomplemented
708#466C22×C1112yescomplemented
709#465C22×C1112yescomplemented
710#465C22×C1112yescomplemented
711#465C22×C1112yescomplemented
712#465C22×C1112yescomplemented
713#452C22×C1111yescharacteristic, complemented
714#452C22×C1112yescomplemented
715#452C22×C1111yescharacteristic, complemented
716#452C22×C1112yescomplemented
717#451C22×C1111yescharacteristic, complemented
718#450C22×C1112yescomplemented
719#450C22×C1112yescomplemented
720#450C22×C1111yescharacteristic, complemented
721#449C22×C1111yescharacteristic, complemented
722#449C22×C1112yescomplemented
723#449C22×C1112yescomplemented
724#449C22×C1112yescomplemented
725#449C22×C1111yescharacteristic, complemented
726#449C22×C1112yescomplemented
727#448C22×C1111yescharacteristic, complemented
728#448C22×C1112yescomplemented
729#447C22×C1112yescomplemented
730#447C22×C1112yescomplemented
731#447C22×C1112yescomplemented
732#447C22×C1111yescharacteristic, complemented
733#428C22×C1111yescharacteristic, complemented
734#428C22×C1111yescharacteristic, complemented
735C2×#107C22×C1111yescharacteristic, complemented
736C2×#106C22×C1111yescharacteristic, complemented
737#417C22×C1111yescharacteristic, complemented
738#417C22×C1111yescharacteristic, complemented
739#417C22×C1111yescharacteristic, complemented
740#417C22×C1111yescharacteristic, complemented
741#416C22×C1111yescharacteristic, complemented
742#416C22×C1111yescharacteristic, complemented
743C2×#102C22×C1111yescharacteristic, complemented
744C2×#102C22×C1111yescharacteristic, complemented
745#408C22×C1111yescharacteristic, complemented
746#408C22×C1111yescharacteristic, complemented
747#408C22×C1112yescomplemented
748#408C22×C1112yescomplemented
749#407C22×C1111yescharacteristic, complemented
750#407C22×C1112yescomplemented
751C2×C22⋊C8C22×C1111yescharacteristic, complemented
752C2×C22⋊C8C22×C1112yescomplemented
753C22×C11—21no—
754C22×C11—21no—
755C22×C11—22no—
756C22×C11—21no—
757C22×C11—22no—
758C22×C11—21no—
759C22×C11—22no—
760C22×C11—21no—
761C22×C11—22no—
762C22×C11—21no—
763C22×C11—21no—
764C22×C11—21no—
765C22×C11—22no—
766C22×C11—22no—
767C22×C11—41no—
768C22×C11—41no—
769C22×C11—42no—
770C22×C11—41no—
771C22×C11—42no—
772C22×C11—41no—
773C22×C11—41no—
774C22×C11—41no—
775C22×C11—41no—
776C22×C11—41no—
777C22×C11—42no—
778C22×C11—41no—
779C22×C11—82no—
780C22×C11—84no—
781C22×C11—84no—
782C22×C11—162no—
783C22×C11—164no—
784C22×C11#53412yes—
785C22×C11C23×D411yescharacteristic
786C4×C11—21no—
787C4×C11—21no—
788C4×C11—22no—
789C4×C11—22no—
790C4×C11—42no—
791C4×C11—41no—
792C4×C11—42no—
793C4×C11—41no—
794C4×C11—42no—
795C4×C11—41no—
796C4×C11—41no—
797C4×C11—41no—
798C4×C11#53412yes—
799C4×C11C2×H(5,𝔽2)11yescharacteristic
800C4×C11C2×H(5,𝔽2)11yescharacteristic
801H(5,𝔽2)—42no—
802H(5,𝔽2)—42no—
803C2×#41—21no—
804C2×#41—21no—
805C2×#41—21no—
806C2×#41—42no—
807C2×#41—42no—
808C2×#41—42no—
809C2×#41—42no—
810C2×#41D4×C1111yescharacteristic
811C2×#41D4×C1111yescharacteristic
812C2×#41D4×C1112yes—
813C2×#41C23×C1111yescharacteristic
814C2×#41C23×C1111yescharacteristic
815C2×#41C23×C1111yescharacteristic
816C2×#41C23×C1111yescharacteristic
817C2×#41C23×C1111yescharacteristic
818C2×#41C23×C1112yes—
819C2×#41C23×C1111yescharacteristic
820C2×#41C23×C1111yescharacteristic
821C2×#41C23×C1112yes—
822C22×Q8D4×C1111yescharacteristic
823C22×Q8C23×C1111yescharacteristic
824C22×D4—21no—
825C22×D4—21no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—21no—
829C22×D4D4×C1112yes—
830C22×D4D4×C1111yescharacteristic
831C22×D4C23×C1111yescharacteristic
832C22×D4C23×C1112yes—
833C22×D4C23×C1111yescharacteristic
834C23×C4—21no—
835C23×C4C23×C1111yescharacteristic
836C23×C4C23×C1112yes—
837AGL(1,ℤ/8)—42no—
838AGL(1,ℤ/8)—42no—
839#135—42no—
840#135—42no—
841C2×Q16C23×C1111yescharacteristic
842C2×Q16C23×C1111yescharacteristic
843C2×SD16C23×C1111yescharacteristic
844C2×SD16C23×C1111yescharacteristic
845C2×SD16C23×C1111yescharacteristic
846C2×SD16C23×C1111yescharacteristic
847C2×SD16C23×C1112yes—
848C2×SD16C23×C1112yes—
849C2×D8C23×C1111yescharacteristic
850C2×D8C23×C1111yescharacteristic
851C2×D8C23×C1112yes—
852C2×D8C23×C1112yes—
853#131—42no—
854#131—42no—
855C2×M16C23×C1111yescharacteristic
856C2×M16C23×C1111yescharacteristic
857C2×M16C23×C1112yes—
858C2×M16C23×C1112yes—
859C22×C8C23×C1111yescharacteristic
860C22×C8C23×C1111yescharacteristic
861C22×C8C23×C1112yes—
862C22×C8C23×C1112yes—
863C4⋊Q8—22no—
864#127—22no—
865#127—22no—
866#127—21no—
867#124—22no—
868#124—22no—
869#124—21no—
870#124—22no—
871#123—22no—
872#123—22no—
873#123—21no—
874#123—22no—
875#123—22no—
876#123—22no—
877C22⋊Q8—21no—
878C22⋊Q8—21no—
879C22⋊Q8—21no—
880C22⋊Q8—21no—
881C22⋊Q8—22no—
882C22⋊Q8—21no—
883C22⋊Q8C23×C1111yescharacteristic
884C22⋊Q8C23×C1111yescharacteristic
885C22⋊Q8C23×C1112yes—
886C22⋊Q8C23×C1112yes—
887C22⋊Q8C23×C1112yes—
888C22⋊Q8C23×C1112yes—
889C22⋊Q8C23×C1112yes—
890#121—21no—
891#121—21no—
892#121—21no—
893#121—21no—
894#121—22no—
895#121—22no—
896#121—22no—
897#121—22no—
898#121—22no—
899#121—22no—
900#121—22no—
901#121—22no—
902#121—21no—
903#121—21no—
904#121—21no—
905#121—22no—
906#121—22no—
907#121C23×C1112yes—
908#121C23×C1112yes—
909#121C23×C1111yescharacteristic
910#121C23×C1112yes—
911#121C23×C1112yes—
912#121C23×C1111yescharacteristic
913#121C23×C1112yes—
914#121C23×C1112yes—
915#121C23×C1112yes—
916#121C23×C1112yes—
917#121C23×C1112yes—
918#120—21no—
919#120—22no—
920#120—22no—
921#120—22no—
922#120—22no—
923#120—22no—
924#120—22no—
925#120—22no—
926#120—22no—
927C4×Q8—21no—
928C4×D4—22no—
929C4×D4—21no—
930C4×D4—22no—
931C4×D4—22no—
932C4×D4—22no—
933C4×D4—22no—
934C4×D4—21no—
935C4×D4—21no—
936C4×D4—22no—
937C4×D4—22no—
938#117—21no—
939#117—21no—
940#117C23×C1112yes—
941#117C23×C1112yes—
942#117C23×C1111yescharacteristic
943#117C23×C1112yes—
944C2×C4⋊C4C23×C1111yescharacteristic
945C2×C4⋊C4C23×C1111yescharacteristic
946C2×C4⋊C4C23×C1111yescharacteristic
947C2×C4⋊C4C23×C1112yes—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—22no—
951C2×C42—21no—
952#107C23×C1112yes—
953#107C23×C1112yes—
954#107C23×C1112yes—
955#107C23×C1112yes—
956#106C23×C1112yes—
957#106C23×C1112yes—
958#106C23×C1112yes—
959#106C23×C1112yes—
960#103C23×C1111yescharacteristic
961#103C23×C1111yescharacteristic
962#103C23×C1111yescharacteristic
963#103C23×C1111yescharacteristic
964#103C23×C1112yes—
965#103C23×C1112yes—
966#103C23×C1112yes—
967#103C23×C1112yes—
968#102C23×C1112yes—
969#102C23×C1112yes—
970#102C23×C1112yes—
971#102C23×C1112yes—
972#102C23×C1111yescharacteristic
973#102C23×C1111yescharacteristic
974#102C23×C1111yescharacteristic
975#102C23×C1111yescharacteristic
976#102C23×C1112yes—
977#102C23×C1112yes—
978#102C23×C1112yes—
979#102C23×C1112yes—
980C22⋊C8C23×C1111yescharacteristic
981C22⋊C8C23×C1112yes—
982C22⋊C8C23×C1111yescharacteristic
983C22⋊C8C23×C1111yescharacteristic
984C22⋊C8C23×C1112yes—
985C22⋊C8C23×C1111yescharacteristic
986C22⋊C8C23×C1112yes—
987C22⋊C8C23×C1112yes—
988C22⋊C8C23×C1112yes—
989C22⋊C8C23×C1112yes—
990C2×C11—22no—
991C2×C11—42no—
992C2×C11—41no—
993C2×C11—41no—
994C2×C11—42no—
995C2×C11—81no—
996C2×C11—81no—
997C2×C11—82no—
998C2×C11—81no—
999C2×C11C2×#53411yescharacteristic
1000C2×C11#358411yescharacteristic
1001C2×C11#358511yescharacteristic
1002C24—22no—
1003C24—21no—
1004C24—21no—
1005C24C2×D4×C1111yescharacteristic
1006C24C2×D4×C1112yes—
1007#41—22no—
1008#41—22no—
1009#41—22no—
1010#41—22no—
1011#41—22no—
1012#41—22no—
1013#41—22no—
1014#41—22no—
1015#41—22no—
1016#41—22no—
1017#41—42no—
1018#41—42no—
1019#41—44no—
1020#41—42no—
1021#41—42no—
1022#41—41no—
1023#41—41no—
1024#41—41no—
1025#41—41no—
1026#41—42no—
1027#41—42no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031C2×Q8—21no—
1032C2×Q8—42no—
1033C2×Q8—41no—
1034C2×Q8—41no—
1035C2×Q8C2×D4×C1111yescharacteristic
1036C2×Q8C2×D4×C1111yescharacteristic
1037C2×Q8C2×D4×C1112yes—
1038C2×Q8C24×C1111yescharacteristic
1039C2×Q8C24×C1111yescharacteristic
1040C2×Q8C24×C1111yescharacteristic
1041C2×D4—21no—
1042C2×D4—22no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—22no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—22no—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—42no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—44no—
1069C2×D4—48no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—82no—
1073C2×D4—84no—
1074C2×D4C2×D4×C1112yes—
1075C2×D4C2×D4×C1111yescharacteristic
1076C2×D4C2×D4×C1112yes—
1077C2×D4C2×D4×C1111yescharacteristic
1078C2×D4C2×D4×C1112yes—
1079C2×D4C2×D4×C1112yes—
1080C2×D4C2×D4×C1112yes—
1081C2×D4C24×C1111yescharacteristic
1082C2×D4C24×C1111yescharacteristic
1083C2×D4C24×C1112yes—
1084C2×D4C24×C1111yescharacteristic
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—22no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—22no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—44no—
1101C22×C4C2×D4×C1111yescharacteristic
1102C22×C4C2×D4×C1111yescharacteristic
1103C22×C4C2×D4×C1111yescharacteristic
1104C22×C4C2×D4×C1112yes—
1105C22×C4C2×D4×C1112yes—
1106C22×C4C2×D4×C1112yes—
1107C22×C4C24×C1112yes—
1108C22×C4C24×C1111yescharacteristic
1109C22×C4C24×C1111yescharacteristic
1110C22×C4C24×C1112yes—
1111C22×C4C24×C1111yescharacteristic
1112Q16—41no—
1113Q16—41no—
1114SD16—41no—
1115SD16—41no—
1116SD16—41no—
1117SD16—41no—
1118SD16—42no—
1119SD16—42no—
1120D8—41no—
1121D8—41no—
1122D8—42no—
1123D8—42no—
1124M16—22no—
1125M16—22no—
1126M16—42no—
1127M16—42no—
1128C2×C8—22no—
1129C2×C8—22no—
1130C2×C8—42no—
1131C2×C8—42no—
1132C2×C8C24×C1111yescharacteristic
1133C2×C8C24×C1111yescharacteristic
1134C2×C8C24×C1111yescharacteristic
1135C2×C8C24×C1111yescharacteristic
1136C2×C8C24×C1112yes—
1137C2×C8C24×C1112yes—
1138C4⋊C4—21no—
1139C4⋊C4—21no—
1140C4⋊C4—22no—
1141C4⋊C4—21no—
1142C4⋊C4—21no—
1143C4⋊C4—21no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4C24×C1112yes—
1150C4⋊C4C24×C1112yes—
1151C4⋊C4C24×C1111yescharacteristic
1152C4⋊C4C24×C1112yes—
1153C4⋊C4C24×C1111yescharacteristic
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—21no—
1158C22⋊C4—21no—
1159C22⋊C4—21no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—21no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—21no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C42—22no—
1177C42—22no—
1178C42—22no—
1179C42—21no—
1180C11#6076711yescharacteristic, direct product factor, Sylow
1181C23—22no—
1182C23—21no—
1183C23—21no—
1184C23—22no—
1185C23—21no—
1186C23—42no—
1187C23—41no—
1188C23—42no—
1189C23—41no—
1190C23—42no—
1191C23—42no—
1192C23—44no—
1193C23—42no—
1194C23—81no—
1195C23—81no—
1196C23—81no—
1197C23—82no—
1198C23—81no—
1199C23—82no—
1200C23C22×D4×C1111yescharacteristic
1201C23C22×D4×C1112yes—
1202C23C22×D4×C1111yescharacteristic
1203C23C22×D4×C1112yes—
1204C23C22×D4×C1111yescharacteristic
1205Q8—22no—
1206Q8—22no—
1207Q8—21no—
1208Q8—21no—
1209Q8—21no—
1210Q8—21no—
1211Q8—21no—
1212Q8—21no—
1213Q8—42no—
1214Q8—42no—
1215D4—24no—
1216D4—24no—
1217D4—22no—
1218D4—22no—
1219D4—21no—
1220D4—21no—
1221D4—22no—
1222D4—22no—
1223D4—21no—
1224D4—21no—
1225D4—21no—
1226D4—21no—
1227D4—42no—
1228D4—42no—
1229D4—42no—
1230D4—44no—
1231D4—42no—
1232D4—44no—
1233D4—42no—
1234D4—42no—
1235D4—42no—
1236D4—44no—
1237D4—42no—
1238D4—42no—
1239D4—42no—
1240D4—42no—
1241D4—82no—
1242D4—82no—
1243D4—82no—
1244D4—81no—
1245D4—82no—
1246D4—82no—
1247D4—82no—
1248D4—82no—
1249D4—82no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—21no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—42no—
1270C2×C4—42no—
1271C2×C4—42no—
1272C2×C4—42no—
1273C2×C4—42no—
1274C2×C4—44no—
1275C2×C4—42no—
1276C2×C4—42no—
1277C2×C4—42no—
1278C2×C4—42no—
1279C2×C4—81no—
1280C2×C4—81no—
1281C2×C4—81no—
1282C2×C4—82no—
1283C2×C4C22×D4×C1111yescharacteristic
1284C2×C4C22×D4×C1111yescharacteristic
1285C2×C4C22×D4×C1112yes—
1286C2×C4C22×D4×C1112yes—
1287C2×C4C22×D4×C1111yescharacteristic
1288C2×C4C11×H(5,𝔽2)12yes—
1289C2×C4C11×H(5,𝔽2)12yes—
1290C2×C4C25×C1111yescharacteristic
1291C8—21no—
1292C8—21no—
1293C8—21no—
1294C8—21no—
1295C8—22no—
1296C8—22no—
1297C22—21no—
1298C22—21no—
1299C22—21no—
1300C22—21no—
1301C22—22no—
1302C22—22no—
1303C22—22no—
1304C22—21no—
1305C22—22no—
1306C22—21no—
1307C22—22no—
1308C22—21no—
1309C22—22no—
1310C22—21no—
1311C22—41no—
1312C22—41no—
1313C22—42no—
1314C22—41no—
1315C22—41no—
1316C22—41no—
1317C22—42no—
1318C22—41no—
1319C22—42no—
1320C22—41no—
1321C22—41no—
1322C22—41no—
1323C22—82no—
1324C22—84no—
1325C22—84no—
1326C22—162no—
1327C22—164no—
1328C22C11×#53412yes—
1329C22C23×D4×C1111yescharacteristic
1330C4—21no—
1331C4—21no—
1332C4—22no—
1333C4—22no—
1334C4—41no—
1335C4—41no—
1336C4—41no—
1337C4—42no—
1338C4—41no—
1339C4—42no—
1340C4—41no—
1341C4—42no—
1342C4C11×#53412yes—
1343C4C2×C11×H(5,𝔽2)11yescharacteristic
1344C4C2×C11×H(5,𝔽2)11yescharacteristic
1345C2—22no—
1346C2—41no—
1347C2—41no—
1348C2—42no—
1349C2—42no—
1350C2—81no—
1351C2—81no—
1352C2—82no—
1353C2—81no—
1354C2C2×C11×#53411yescharacteristic
1355C2C11×#358411yescharacteristic
1356C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C22×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3488C2semidirect
2. C11×#3449C2semidirect
3. C11×#3201C2semidirect
4. C11×#3200C2semidirect
5. C11×#3199C2semidirect
6. C11×#3198C2semidirect
7. C11×#3197C2semidirect
8. C11×#3194C2semidirect
9. C11×#3191C2semidirect
10. C11×#3188C2semidirect
11. C11×#3099C2semidirect
12. C11×#3098C2semidirect
13. C11×#3093C2semidirect
14. C2×C11×#482C2semidirect
15. C11×#3062C2semidirect
16. C11×#3062C2semidirect
17. C11×#3061C2semidirect
18. C11×#3060C2semidirect
19. C11×#3012C2semidirect
20. C11×#3012C2semidirect
21. C11×#3006C2semidirect
22. C11×#3002C2semidirect
23. C11×#2880C2semidirect
24. C2×C11×H(5,𝔽2)C22semidirect
26. C22×C11×#41C22semidirect
27. C2×C11×AGL(1,ℤ/8)C22semidirect
28. C2×C11×AGL(1,ℤ/8)C22semidirect
29. C2×C11×#135C22semidirect
30. C2×C11×#135C22semidirect
31. C2×C11×#131C22semidirect
32. C2×C11×#131C22semidirect
42. C11×#537C22semidirect
43. C11×#537C22semidirect
44. C11×#537C22semidirect
46. C11×#536C22semidirect
49. C11×#535C22semidirect
50. C11×#535C22semidirect
56. C11×#525C22semidirect
57. C11×#525C22semidirect
58. C11×#525C22semidirect
60. C2×C11×#121C22semidirect
61. C11×#520C22semidirect
62. C2×C11×#117C22semidirect
63. C11×#485C22semidirect
64. C11×#485C22semidirect
65. C11×#485C22semidirect
66. C11×#485C22semidirect
67. C11×#484C22semidirect
68. C11×#483C22semidirect
69. C11×#482C22semidirect
70. C11×#482C22semidirect
71. C11×#482C22semidirect
72. C11×#482C22semidirect
73. C11×#482C22semidirect
74. C11×#482C22semidirect
75. C11×#482C22semidirect
76. C11×#482C22semidirect
77. C11×#481C22semidirect
78. C11×#480C22semidirect
79. C11×#470C22semidirect
80. C11×#469C22semidirect
81. C11×#469C22semidirect
82. C11×#469C22semidirect
83. C11×#468C22semidirect
84. C11×#468C22semidirect
85. C11×#468C22semidirect
86. C11×#468C22semidirect
87. C11×#467C22semidirect
88. C11×#466C22semidirect
89. C11×#466C22semidirect
90. C11×#466C22semidirect
91. C11×#465C22semidirect
92. C11×#465C22semidirect
93. C11×#465C22semidirect
94. C11×#465C22semidirect
95. C11×#452C22semidirect
96. C11×#452C22semidirect
97. C11×#452C22semidirect
98. C11×#452C22semidirect
99. C11×#451C22semidirect
100. C11×#450C22semidirect
101. C11×#450C22semidirect
102. C11×#450C22semidirect
103. C11×#449C22semidirect
104. C11×#449C22semidirect
105. C11×#449C22semidirect
106. C11×#449C22semidirect
107. C11×#449C22semidirect
108. C11×#449C22semidirect
109. C11×#448C22semidirect
110. C11×#448C22semidirect
111. C11×#447C22semidirect
112. C11×#447C22semidirect
113. C11×#447C22semidirect
114. C11×#447C22semidirect
115. C11×#428C22semidirect
116. C11×#428C22semidirect
117. C2×C11×#107C22semidirect
118. C2×C11×#106C22semidirect
119. C11×#417C22semidirect
120. C11×#417C22semidirect
121. C11×#417C22semidirect
122. C11×#417C22semidirect
123. C11×#416C22semidirect
124. C11×#416C22semidirect
125. C2×C11×#102C22semidirect
126. C2×C11×#102C22semidirect
127. C11×#408C22semidirect
128. C11×#408C22semidirect
129. C11×#408C22semidirect
130. C11×#408C22semidirect
131. C11×#407C22semidirect
132. C11×#407C22semidirect
133. C2×C11×C22⋊C8C22semidirect
134. C2×C11×C22⋊C8C22semidirect
324. #60767C11direct (N × H)
503. #3488C2×C11semidirect
504. #3449C2×C11semidirect
505. #3201C2×C11semidirect
506. #3200C2×C11semidirect
507. #3199C2×C11semidirect
508. #3198C2×C11semidirect
509. #3197C2×C11semidirect
510. #3194C2×C11semidirect
511. #3191C2×C11semidirect
512. #3188C2×C11semidirect
513. #3099C2×C11semidirect
514. #3098C2×C11semidirect
515. #3093C2×C11semidirect
516. C2×#482C2×C11semidirect
517. #3062C2×C11semidirect
518. #3062C2×C11semidirect
519. #3061C2×C11semidirect
520. #3060C2×C11semidirect
521. #3012C2×C11semidirect
522. #3012C2×C11semidirect
523. #3006C2×C11semidirect
524. #3002C2×C11semidirect
525. #2880C2×C11semidirect
642. C2×H(5,𝔽2)C22×C11semidirect
644. C22×#41C22×C11semidirect
645. C2×AGL(1,ℤ/8)C22×C11semidirect
646. C2×AGL(1,ℤ/8)C22×C11semidirect
647. C2×#135C22×C11semidirect
648. C2×#135C22×C11semidirect
649. C2×#131C22×C11semidirect
650. C2×#131C22×C11semidirect
660. #537C22×C11semidirect
661. #537C22×C11semidirect
662. #537C22×C11semidirect
664. #536C22×C11semidirect
667. #535C22×C11semidirect
668. #535C22×C11semidirect
674. #525C22×C11semidirect
675. #525C22×C11semidirect
676. #525C22×C11semidirect
678. C2×#121C22×C11semidirect
679. #520C22×C11semidirect
680. C2×#117C22×C11semidirect
681. #485C22×C11semidirect
682. #485C22×C11semidirect
683. #485C22×C11semidirect
684. #485C22×C11semidirect
685. #484C22×C11semidirect
686. #483C22×C11semidirect
687. #482C22×C11semidirect
688. #482C22×C11semidirect
689. #482C22×C11semidirect
690. #482C22×C11semidirect
691. #482C22×C11semidirect
692. #482C22×C11semidirect
693. #482C22×C11semidirect
694. #482C22×C11semidirect
695. #481C22×C11semidirect
696. #480C22×C11semidirect
697. #470C22×C11semidirect
698. #469C22×C11semidirect
699. #469C22×C11semidirect
700. #469C22×C11semidirect
701. #468C22×C11semidirect
702. #468C22×C11semidirect
703. #468C22×C11semidirect
704. #468C22×C11semidirect
705. #467C22×C11semidirect
706. #466C22×C11semidirect
707. #466C22×C11semidirect
708. #466C22×C11semidirect
709. #465C22×C11semidirect
710. #465C22×C11semidirect
711. #465C22×C11semidirect
712. #465C22×C11semidirect
713. #452C22×C11semidirect
714. #452C22×C11semidirect
715. #452C22×C11semidirect
716. #452C22×C11semidirect
717. #451C22×C11semidirect
718. #450C22×C11semidirect
719. #450C22×C11semidirect
720. #450C22×C11semidirect
721. #449C22×C11semidirect
722. #449C22×C11semidirect
723. #449C22×C11semidirect
724. #449C22×C11semidirect
725. #449C22×C11semidirect
726. #449C22×C11semidirect
727. #448C22×C11semidirect
728. #448C22×C11semidirect
729. #447C22×C11semidirect
730. #447C22×C11semidirect
731. #447C22×C11semidirect
732. #447C22×C11semidirect
733. #428C22×C11semidirect
734. #428C22×C11semidirect
735. C2×#107C22×C11semidirect
736. C2×#106C22×C11semidirect
737. #417C22×C11semidirect
738. #417C22×C11semidirect
739. #417C22×C11semidirect
740. #417C22×C11semidirect
741. #416C22×C11semidirect
742. #416C22×C11semidirect
743. C2×#102C22×C11semidirect
744. C2×#102C22×C11semidirect
745. #408C22×C11semidirect
746. #408C22×C11semidirect
747. #408C22×C11semidirect
748. #408C22×C11semidirect
749. #407C22×C11semidirect
750. #407C22×C11semidirect
751. C2×C22⋊C8C22×C11semidirect
752. C2×C22⋊C8C22×C11semidirect
1180. C11#60767direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34882
C11×#34492
C11×#32012
C11×#32002
C11×#31992
C11×#31982
C11×#31972
C11×#31942
C11×#31912
C11×#31882
C11×#30992
C11×#30982
C11×#30932
C2×C11×#4822
C11×#30622
C11×#30612
C11×#30602
C11×#30122
C11×#30062
C11×#30022
C11×#28802
#6076711