Finite Group Databasebeta

← C11×#60752 #14637945

Subgroups — C11×#60752 #14637945

Order 2816.

2362 conjugacy classes of subgroups.

The subgroup lattice has 1182 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#525C211yesmaximal, characteristic, complemented
2C2×C11×#525C211yesmaximal, characteristic, complemented
3C11×#3197C214yesmaximal, complemented
4C11×#3196C212yesmaximal, complemented
5C11×#3194C212yesmaximal, complemented
6C11×#3191C214yesmaximal, complemented
7C11×#3190C212yesmaximal, complemented
8C11×#3188C212yesmaximal, complemented
9C11×#3095C211yesmaximal, characteristic, complemented
10C11×#3094C211yesmaximal, characteristic, complemented
11C11×#3093C212yesmaximal, complemented
12C11×#3056C212yesmaximal, complemented
13C11×#3055C212yesmaximal, complemented
14C11×#3007C211yesmaximal, characteristic, complemented
15C11×#3006C211yesmaximal, characteristic, complemented
16C11×#3005C212yesmaximal, complemented
17C2×C11×#407C211yesmaximal, characteristic, complemented
18C22×C11×#41C2211yescharacteristic
19C22×C11×#41C2211yescharacteristic, complemented
20C24×C4×C11C2211yescharacteristic
21C2×C11×#137C2212yescomplemented
22C2×C11×AGL(1,ℤ/8)C2212yescomplemented
23C22×C11×M16C2212yescomplemented
24C11×#525—21no—
25C11×#525—21no—
26C11×#525—21no—
27C11×#525—21no—
28C11×#525—21no—
29C11×#525—21no—
30C11×#525—21no—
31C11×#525—21no—
32C11×#525C2212yes—
33C11×#525C2212yes—
34C11×#525C2212yes—
35C11×#525C2212yes—
36C11×#525C2212yescomplemented
37C11×#525C2212yescomplemented
38C11×#525C2212yescomplemented
39C11×#525C2212yescomplemented
40C2×C11×#123—21no—
41C2×C11×#123—21no—
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic, complemented
44C2×C11×C22⋊Q8C2211yescharacteristic, complemented
45C2×C11×C22⋊Q8C2211yescharacteristic, complemented
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic, complemented
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C11×#121C2211yescharacteristic, complemented
50C2×C11×#120—21no—
51C2×C11×#120—21no—
52C2×C4×D4×C11—21no—
53C2×C4×D4×C11—21no—
54C2×C4×D4×C11—21no—
55C2×C4×D4×C11—21no—
56C2×C11×#117C2211yescharacteristic
57C2×C11×#117C2211yescharacteristic, complemented
58C11×#485C2214yescomplemented
59C11×#485C2214yescomplemented
60C11×#485C2214yescomplemented
61C11×#484C2212yescomplemented
62C11×#483C2212yescomplemented
63C11×#482C2214yescomplemented
64C11×#482C2214yescomplemented
65C11×#482C2214yescomplemented
66C11×#481C2212yescomplemented
67C11×#480C2212yescomplemented
68C11×#470C2214yescomplemented
69C11×#469C2214yescomplemented
70C11×#468C2214yescomplemented
71C11×#468C2214yescomplemented
72C11×#467C2214yescomplemented
73C11×#466C2214yescomplemented
74C11×#465C2214yescomplemented
75C11×#465C2214yescomplemented
76C11×#452C2214yescomplemented
77C11×#452C2214yescomplemented
78C11×#452C2214yescomplemented
79C11×#451C2212yescomplemented
80C11×#450C2212yescomplemented
81C11×#449C2214yescomplemented
82C11×#449C2214yescomplemented
83C11×#449C2214yescomplemented
84C11×#448C2212yescomplemented
85C11×#447C2212yescomplemented
86C11×#428C2212yescomplemented
87C11×#428C2212yescomplemented
88C11×#419C2212yescomplemented
89C11×#418C2212yescomplemented
90C11×#417C2212yescomplemented
91C11×#417C2212yescomplemented
92C11×#407C2211yescharacteristic
93C11×#407C2211yescharacteristic
94C11×#407C2212yescomplemented
95C11×#407C2212yescomplemented
96C11×#407C2212yescomplemented
97C2×C11×C22⋊C8C2212yescomplemented
98C2×C11×C22⋊C8C2212yescomplemented
99C25×C11D411yescharacteristic
100C2×C11×#41—21no—
101C2×C11×#41—21no—
102C2×C11×#41—21no—
103C2×C11×#41—21no—
104C2×C11×#41—44no—
105C2×C11×#41—44no—
106C2×C11×#41C2312yes—
107C2×C11×#41C2312yes—
108C2×C11×#41C2312yes—
109C2×C11×#41C2312yes—
110C22×Q8×C11C2311yescharacteristic
111C22×Q8×C11C2311yescharacteristic
112C22×D4×C11—21no—
113C22×D4×C11—21no—
114C22×D4×C11—21no—
115C22×D4×C11—21no—
116C22×D4×C11—21no—
117C22×D4×C11—21no—
118C22×D4×C11C2311yescharacteristic
119C22×D4×C11C2311yescharacteristic
120C23×C4×C11—21no—
121C23×C4×C11—21no—
122C23×C4×C11—44no—
123C23×C4×C11D411yescharacteristic
124C23×C4×C11D411yescharacteristic
125C23×C4×C11D411yescharacteristic
126C23×C4×C11D411yescharacteristic
127C23×C4×C11D411yescharacteristic
128C23×C4×C11D411yescharacteristic
129C23×C4×C11D411yescharacteristic
130C23×C4×C11C2311yescharacteristic
131C23×C4×C11C2311yescharacteristic
132C23×C4×C11C2311yescharacteristic
133C23×C4×C11C2311yescharacteristic
134C23×C4×C11C2311yescharacteristic
135C23×C4×C11C2311yescharacteristic
136C23×C4×C11C2311yescharacteristic
137C11×#137—44no—
138C11×AGL(1,ℤ/8)—44no—
139C2×C11×Q16C2314yescomplemented
140C2×C11×SD16C2314yescomplemented
141C2×C11×SD16C2314yescomplemented
142C2×C11×D8C2314yescomplemented
143C2×C11×M16—44no—
144C2×C11×M16C2312yes—
145C2×C11×M16C2312yes—
146C2×C11×M16C2314yes—
147C22×C8×C11C2314yes—
148C11×#123—22no—
149C11×#123—22no—
150C11×#123—22no—
151C11×#123—22no—
152C11×#123—22no—
153C11×#123—22no—
154C11×#123—22no—
155C11×#123—22no—
156C11×C22⋊Q8—21no—
157C11×C22⋊Q8—21no—
158C11×C22⋊Q8—21no—
159C11×C22⋊Q8—21no—
160C11×C22⋊Q8—21no—
161C11×C22⋊Q8—21no—
162C11×C22⋊Q8—21no—
163C11×C22⋊Q8—21no—
164C11×C22⋊Q8C2312yes—
165C11×C22⋊Q8C2312yes—
166C11×C22⋊Q8C2312yes—
167C11×C22⋊Q8C2312yes—
168C11×C22⋊Q8C2312yes—
169C11×C22⋊Q8C2312yes—
170C11×C22⋊Q8C2312yes—
171C11×C22⋊Q8C2312yes—
172C11×#121—21no—
173C11×#121—21no—
174C11×#121—21no—
175C11×#121—21no—
176C11×#121—21no—
177C11×#121—21no—
178C11×#121—21no—
179C11×#121—21no—
180C11×#121C2312yes—
181C11×#121C2312yes—
182C11×#121C2312yes—
183C11×#121C2312yes—
184C11×#121C2312yes—
185C11×#121C2312yes—
186C11×#121C2312yes—
187C11×#121C2312yes—
188C11×#120—22no—
189C11×#120—22no—
190C11×#120—22no—
191C11×#120—22no—
192C11×#120—22no—
193C11×#120—22no—
194C11×#120—22no—
195C11×#120—22no—
196C4×D4×C11—22no—
197C4×D4×C11—22no—
198C4×D4×C11—22no—
199C4×D4×C11—22no—
200C4×D4×C11—22no—
201C4×D4×C11—22no—
202C4×D4×C11—22no—
203C4×D4×C11—22no—
204C4×D4×C11—22no—
205C4×D4×C11—22no—
206C4×D4×C11—22no—
207C4×D4×C11—22no—
208C4×D4×C11—22no—
209C4×D4×C11—22no—
210C4×D4×C11—22no—
211C4×D4×C11—22no—
212C11×#117—21no—
213C11×#117—21no—
214C11×#117—21no—
215C11×#117—21no—
216C11×#117C2312yes—
217C11×#117C2312yes—
218C11×#117C2312yes—
219C11×#117C2312yes—
220C2×C11×C4⋊C4—21no—
221C2×C11×C4⋊C4—21no—
222C2×C11×C4⋊C4—21no—
223C2×C11×C4⋊C4—21no—
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4—21no—
229C2×C11×C22⋊C4—21no—
230C2×C11×C22⋊C4—21no—
231C2×C11×C22⋊C4—21no—
232C2×C11×C22⋊C4—21no—
233C2×C11×C22⋊C4—21no—
234C2×C11×C22⋊C4—21no—
235C2×C11×C22⋊C4—21no—
236C2×C11×C22⋊C4—21no—
237C2×C11×C22⋊C4—21no—
238C2×C42×C11—21no—
239C2×C42×C11—21no—
240C11×#107C2314yescomplemented
241C11×#107C2314yescomplemented
242C11×#106C2314yescomplemented
243C11×#106C2314yescomplemented
244C11×#103C2314yescomplemented
245C11×#103C2314yescomplemented
246C11×#103C2314yescomplemented
247C11×#103C2314yescomplemented
248C11×#102C2314yescomplemented
249C11×#102C2314yescomplemented
250C11×#102C2314yescomplemented
251C11×#102C2314yescomplemented
252C11×C22⋊C8C2312yes—
253C11×C22⋊C8C2312yes—
254C11×C22⋊C8C2312yes—
255C11×C22⋊C8C2312yes—
256C11×C22⋊C8C2314yes—
257C11×C22⋊C8C2314yes—
258#60752C1111yesmaximal, characteristic, direct product factor, Sylow
259C24×C11—21no—
260C24×C11—21no—
261C24×C11—42no—
262C24×C11—42no—
263C24×C11—42no—
264C24×C11C2×D411yescharacteristic
265C24×C11C2×D411yescharacteristic
266C24×C11C2×D411yescharacteristic
267C24×C11C2×D411yescharacteristic
268C24×C11C2×D411yescharacteristic
269C24×C11C2×D411yescharacteristic
270C24×C11C2×D411yescharacteristic
271C11×#41—24no—
272C11×#41—24no—
273C11×#41—42no—
274C11×#41—44no—
275C11×#41—44no—
276C11×#41—42no—
277C11×#41—44no—
278C11×#41—44no—
279C11×#41—44no—
280C11×#41—44no—
281C2×Q8×C11—21no—
282C2×Q8×C11—21no—
283C2×Q8×C11—24no—
284C2×Q8×C11—42no—
285C2×Q8×C11C2412yes—
286C2×Q8×C11C2412yes—
287C2×D4×C11—22no—
288C2×D4×C11—22no—
289C2×D4×C11—22no—
290C2×D4×C11—22no—
291C2×D4×C11—22no—
292C2×D4×C11—22no—
293C2×D4×C11—22no—
294C2×D4×C11—22no—
295C2×D4×C11—22no—
296C2×D4×C11—22no—
297C2×D4×C11—22no—
298C2×D4×C11—22no—
299C2×D4×C11—21no—
300C2×D4×C11—21no—
301C2×D4×C11—24no—
302C2×D4×C11—42no—
303C2×D4×C11—44no—
304C2×D4×C11—44no—
305C2×D4×C11—44no—
306C2×D4×C11—44no—
307C2×D4×C11—44no—
308C2×D4×C11—44no—
309C2×D4×C11C2412yes—
310C2×D4×C11C2412yes—
311C22×C4×C11—24no—
312C22×C4×C11—24no—
313C22×C4×C11—24no—
314C22×C4×C11—21no—
315C22×C4×C11—21no—
316C22×C4×C11—21no—
317C22×C4×C11—21no—
318C22×C4×C11—21no—
319C22×C4×C11—21no—
320C22×C4×C11—22no—
321C22×C4×C11—22no—
322C22×C4×C11—22no—
323C22×C4×C11—22no—
324C22×C4×C11—42no—
325C22×C4×C11—42no—
326C22×C4×C11—42no—
327C22×C4×C11—42no—
328C22×C4×C11—42no—
329C22×C4×C11—42no—
330C22×C4×C11—42no—
331C22×C4×C11—42no—
332C22×C4×C11—42no—
333C22×C4×C11—42no—
334C22×C4×C11—42no—
335C22×C4×C11—44no—
336C22×C4×C11—44no—
337C22×C4×C11C2×D411yescharacteristic
338C22×C4×C11C2×D411yescharacteristic
339C22×C4×C11C2×D411yescharacteristic
340C22×C4×C11C2×D411yescharacteristic
341C22×C4×C11C2×D411yescharacteristic
342C22×C4×C11C2×D411yescharacteristic
343C22×C4×C11C2×D411yescharacteristic
344C22×C4×C11C2×D411yescharacteristic
345C22×C4×C11C2×D411yescharacteristic
346C22×C4×C11C2×D411yescharacteristic
347C22×C4×C11C2×D411yescharacteristic
348C22×C4×C11C2×D411yescharacteristic
349C22×C4×C11C2×D411yescharacteristic
350C22×C4×C11C2×D411yescharacteristic
351C22×C4×C11C2×D411yescharacteristic
352C22×C4×C11C2×D411yescharacteristic
353C22×C4×C11C2×D411yescharacteristic
354C22×C4×C11C2×D411yescharacteristic
355C22×C4×C11C2×D411yescharacteristic
356C22×C4×C11C2×D411yescharacteristic
357C22×C4×C11C2×D411yescharacteristic
358C22×C4×C11C2411yescharacteristic
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C11×Q16—44no—
366C11×SD16—44no—
367C11×SD16—44no—
368C11×D8—44no—
369C11×M16—24no—
370C11×M16—24no—
371C11×M16—44no—
372C2×C8×C11—44no—
373C2×C8×C11C2414yes—
374C2×C8×C11C2414yes—
375C11×C4⋊C4—22no—
376C11×C4⋊C4—22no—
377C11×C4⋊C4—22no—
378C11×C4⋊C4—22no—
379C11×C4⋊C4—22no—
380C11×C4⋊C4—22no—
381C11×C4⋊C4—22no—
382C11×C4⋊C4—22no—
383C11×C4⋊C4—21no—
384C11×C4⋊C4—21no—
385C11×C4⋊C4—21no—
386C11×C4⋊C4—21no—
387C11×C4⋊C4C2412yes—
388C11×C4⋊C4C2412yes—
389C11×C4⋊C4C2412yes—
390C11×C4⋊C4C2412yes—
391C11×C22⋊C4—22no—
392C11×C22⋊C4—22no—
393C11×C22⋊C4—22no—
394C11×C22⋊C4—22no—
395C11×C22⋊C4—22no—
396C11×C22⋊C4—22no—
397C11×C22⋊C4—22no—
398C11×C22⋊C4—22no—
399C11×C22⋊C4—22no—
400C11×C22⋊C4—22no—
401C11×C22⋊C4—22no—
402C11×C22⋊C4—22no—
403C11×C22⋊C4—22no—
404C11×C22⋊C4—22no—
405C11×C22⋊C4—22no—
406C11×C22⋊C4—22no—
407C11×C22⋊C4—22no—
408C11×C22⋊C4—22no—
409C11×C22⋊C4—22no—
410C11×C22⋊C4—22no—
411C42×C11—22no—
412C42×C11—22no—
413C42×C11—22no—
414C42×C11—22no—
415C2×#525C2×C1111yescharacteristic, complemented
416C2×#525C2×C1111yescharacteristic, complemented
417#3197C2×C1114yescomplemented
418#3196C2×C1112yescomplemented
419#3194C2×C1112yescomplemented
420#3191C2×C1114yescomplemented
421#3190C2×C1112yescomplemented
422#3188C2×C1112yescomplemented
423#3095C2×C1111yescharacteristic, complemented
424#3094C2×C1111yescharacteristic, complemented
425#3093C2×C1112yescomplemented
426#3056C2×C1112yescomplemented
427#3055C2×C1112yescomplemented
428#3007C2×C1111yescharacteristic, complemented
429#3006C2×C1111yescharacteristic, complemented
430#3005C2×C1112yescomplemented
431C2×#407C2×C1111yescharacteristic, complemented
432C23×C11—22no—
433C23×C11—22no—
434C23×C11—22no—
435C23×C11—22no—
436C23×C11—22no—
437C23×C11—22no—
438C23×C11—22no—
439C23×C11—22no—
440C23×C11—22no—
441C23×C11—22no—
442C23×C11—22no—
443C23×C11—41no—
444C23×C11—41no—
445C23×C11—41no—
446C23×C11—41no—
447C23×C11—41no—
448C23×C11—41no—
449C23×C11—41no—
450C23×C11—41no—
451C23×C11—41no—
452C23×C11—41no—
453C23×C11—41no—
454C23×C11—41no—
455C23×C11—42no—
456C23×C11—42no—
457C23×C11—42no—
458C23×C11—42no—
459C23×C11—416no—
460C23×C11—42no—
461C23×C11—42no—
462C23×C11C22×D411yescharacteristic
463C23×C11C22×D411yescharacteristic
464C23×C11C22×D411yescharacteristic
465C23×C11C22×D411yescharacteristic
466C23×C11C22×D411yescharacteristic
467C23×C11C22×D411yescharacteristic
468C23×C11C22×D411yescharacteristic
469Q8×C11—22no—
470Q8×C11—24no—
471Q8×C11—22no—
472Q8×C11—42no—
473Q8×C11—42no—
474D4×C11—22no—
475D4×C11—24no—
476D4×C11—22no—
477D4×C11—42no—
478D4×C11—44no—
479D4×C11—44no—
480D4×C11—44no—
481D4×C11—44no—
482D4×C11—44no—
483D4×C11—44no—
484D4×C11—44no—
485D4×C11—44no—
486D4×C11—44no—
487D4×C11—44no—
488D4×C11—44no—
489D4×C11—44no—
490D4×C11—42no—
491C2×C4×C11—22no—
492C2×C4×C11—22no—
493C2×C4×C11—22no—
494C2×C4×C11—22no—
495C2×C4×C11—22no—
496C2×C4×C11—22no—
497C2×C4×C11—22no—
498C2×C4×C11—22no—
499C2×C4×C11—22no—
500C2×C4×C11—22no—
501C2×C4×C11—22no—
502C2×C4×C11—22no—
503C2×C4×C11—22no—
504C2×C4×C11—22no—
505C2×C4×C11—22no—
506C2×C4×C11—22no—
507C2×C4×C11—22no—
508C2×C4×C11—22no—
509C2×C4×C11—22no—
510C2×C4×C11—22no—
511C2×C4×C11—22no—
512C2×C4×C11—41no—
513C2×C4×C11—41no—
514C2×C4×C11—41no—
515C2×C4×C11—41no—
516C2×C4×C11—41no—
517C2×C4×C11—41no—
518C2×C4×C11—41no—
519C2×C4×C11—41no—
520C2×C4×C11—41no—
521C2×C4×C11—41no—
522C2×C4×C11—41no—
523C2×C4×C11—41no—
524C2×C4×C11—44no—
525C2×C4×C11—44no—
526C2×C4×C11—44no—
527C2×C4×C11—42no—
528C2×C4×C11—42no—
529C2×C4×C11—42no—
530C2×C4×C11—42no—
531C2×C4×C11—42no—
532C2×C4×C11—42no—
533C2×C4×C11—44no—
534C2×C4×C11C22×D411yescharacteristic
535C2×C4×C11C22×D411yescharacteristic
536C2×C4×C11C22×D411yescharacteristic
537C2×C4×C11C22×D411yescharacteristic
538C2×C4×C11C22×D411yescharacteristic
539C2×C4×C11C22×D411yescharacteristic
540C2×C4×C11C22×D411yescharacteristic
541C2×C4×C11H(5,𝔽2)14yes—
542C2×C4×C11C2511yescharacteristic
543C8×C11—24no—
544C8×C11—24no—
545C22×#41C22×C1111yescharacteristic
546C22×#41C22×C1111yescharacteristic, complemented
547C24×C4C22×C1111yescharacteristic
548C2×#137C22×C1112yescomplemented
549C2×AGL(1,ℤ/8)C22×C1112yescomplemented
550C22×M16C22×C1112yescomplemented
551#525—21no—
552#525—21no—
553#525—21no—
554#525—21no—
555#525—21no—
556#525—21no—
557#525—21no—
558#525—21no—
559#525C22×C1112yes—
560#525C22×C1112yes—
561#525C22×C1112yes—
562#525C22×C1112yes—
563#525C22×C1112yescomplemented
564#525C22×C1112yescomplemented
565#525C22×C1112yescomplemented
566#525C22×C1112yescomplemented
567C2×#123—21no—
568C2×#123—21no—
569C2×C22⋊Q8C22×C1111yescharacteristic
570C2×C22⋊Q8C22×C1111yescharacteristic, complemented
571C2×C22⋊Q8C22×C1111yescharacteristic, complemented
572C2×C22⋊Q8C22×C1111yescharacteristic, complemented
573C2×#121C22×C1111yescharacteristic
574C2×#121C22×C1111yescharacteristic, complemented
575C2×#121C22×C1111yescharacteristic, complemented
576C2×#121C22×C1111yescharacteristic, complemented
577C2×#120—21no—
578C2×#120—21no—
579C2×C4×D4—21no—
580C2×C4×D4—21no—
581C2×C4×D4—21no—
582C2×C4×D4—21no—
583C2×#117C22×C1111yescharacteristic
584C2×#117C22×C1111yescharacteristic, complemented
585#485C22×C1114yescomplemented
586#485C22×C1114yescomplemented
587#485C22×C1114yescomplemented
588#484C22×C1112yescomplemented
589#483C22×C1112yescomplemented
590#482C22×C1114yescomplemented
591#482C22×C1114yescomplemented
592#482C22×C1114yescomplemented
593#481C22×C1112yescomplemented
594#480C22×C1112yescomplemented
595#470C22×C1114yescomplemented
596#469C22×C1114yescomplemented
597#468C22×C1114yescomplemented
598#468C22×C1114yescomplemented
599#467C22×C1114yescomplemented
600#466C22×C1114yescomplemented
601#465C22×C1114yescomplemented
602#465C22×C1114yescomplemented
603#452C22×C1114yescomplemented
604#452C22×C1114yescomplemented
605#452C22×C1114yescomplemented
606#451C22×C1112yescomplemented
607#450C22×C1112yescomplemented
608#449C22×C1114yescomplemented
609#449C22×C1114yescomplemented
610#449C22×C1114yescomplemented
611#448C22×C1112yescomplemented
612#447C22×C1112yescomplemented
613#428C22×C1112yescomplemented
614#428C22×C1112yescomplemented
615#419C22×C1112yescomplemented
616#418C22×C1112yescomplemented
617#417C22×C1112yescomplemented
618#417C22×C1112yescomplemented
619#407C22×C1111yescharacteristic
620#407C22×C1111yescharacteristic
621#407C22×C1112yescomplemented
622#407C22×C1112yescomplemented
623#407C22×C1112yescomplemented
624C2×C22⋊C8C22×C1112yescomplemented
625C2×C22⋊C8C22×C1112yescomplemented
626C22×C11—21no—
627C22×C11—21no—
628C22×C11—21no—
629C22×C11—21no—
630C22×C11—21no—
631C22×C11—21no—
632C22×C11—21no—
633C22×C11—21no—
634C22×C11—21no—
635C22×C11—21no—
636C22×C11—21no—
637C22×C11—21no—
638C22×C11—21no—
639C22×C11—21no—
640C22×C11—21no—
641C22×C11—21no—
642C22×C11—21no—
643C22×C11—21no—
644C22×C11—44no—
645C22×C11—44no—
646C22×C11—44no—
647C22×C11—44no—
648C22×C11—44no—
649C22×C11—44no—
650C22×C11—44no—
651C22×C11—42no—
652C22×C11—42no—
653C22×C11—42no—
654C22×C11—42no—
655C22×C11—42no—
656C22×C11—42no—
657C22×C11—84no—
658C22×C11—84no—
659C22×C11#53412yes—
660C22×C11#57512yes—
661C22×C11#57512yes—
662C22×C11C23×D411yescharacteristic
663C4×C11—21no—
664C4×C11—21no—
665C4×C11—21no—
666C4×C11—21no—
667C4×C11—21no—
668C4×C11—21no—
669C4×C11—42no—
670C4×C11—42no—
671C4×C11—42no—
672C4×C11—42no—
673C4×C11—42no—
674C4×C11—42no—
675C4×C11#53412yes—
676C4×C11C2×H(5,𝔽2)12yes—
677C25D4×C1111yescharacteristic
678C2×#41—21no—
679C2×#41—21no—
680C2×#41—21no—
681C2×#41—21no—
682C2×#41—44no—
683C2×#41—44no—
684C2×#41C23×C1112yes—
685C2×#41C23×C1112yes—
686C2×#41C23×C1112yes—
687C2×#41C23×C1112yes—
688C22×Q8C23×C1111yescharacteristic
689C22×Q8C23×C1111yescharacteristic
690C22×D4—21no—
691C22×D4—21no—
692C22×D4—21no—
693C22×D4—21no—
694C22×D4—21no—
695C22×D4—21no—
696C22×D4C23×C1111yescharacteristic
697C22×D4C23×C1111yescharacteristic
698C23×C4—21no—
699C23×C4—21no—
700C23×C4—44no—
701C23×C4D4×C1111yescharacteristic
702C23×C4D4×C1111yescharacteristic
703C23×C4D4×C1111yescharacteristic
704C23×C4D4×C1111yescharacteristic
705C23×C4D4×C1111yescharacteristic
706C23×C4D4×C1111yescharacteristic
707C23×C4D4×C1111yescharacteristic
708C23×C4C23×C1111yescharacteristic
709C23×C4C23×C1111yescharacteristic
710C23×C4C23×C1111yescharacteristic
711C23×C4C23×C1111yescharacteristic
712C23×C4C23×C1111yescharacteristic
713C23×C4C23×C1111yescharacteristic
714C23×C4C23×C1111yescharacteristic
715#137—44no—
716AGL(1,ℤ/8)—44no—
717C2×Q16C23×C1114yescomplemented
718C2×SD16C23×C1114yescomplemented
719C2×SD16C23×C1114yescomplemented
720C2×D8C23×C1114yescomplemented
721C2×M16—44no—
722C2×M16C23×C1112yes—
723C2×M16C23×C1112yes—
724C2×M16C23×C1114yes—
725C22×C8C23×C1114yes—
726#123—22no—
727#123—22no—
728#123—22no—
729#123—22no—
730#123—22no—
731#123—22no—
732#123—22no—
733#123—22no—
734C22⋊Q8—21no—
735C22⋊Q8—21no—
736C22⋊Q8—21no—
737C22⋊Q8—21no—
738C22⋊Q8—21no—
739C22⋊Q8—21no—
740C22⋊Q8—21no—
741C22⋊Q8—21no—
742C22⋊Q8C23×C1112yes—
743C22⋊Q8C23×C1112yes—
744C22⋊Q8C23×C1112yes—
745C22⋊Q8C23×C1112yes—
746C22⋊Q8C23×C1112yes—
747C22⋊Q8C23×C1112yes—
748C22⋊Q8C23×C1112yes—
749C22⋊Q8C23×C1112yes—
750#121—21no—
751#121—21no—
752#121—21no—
753#121—21no—
754#121—21no—
755#121—21no—
756#121—21no—
757#121—21no—
758#121C23×C1112yes—
759#121C23×C1112yes—
760#121C23×C1112yes—
761#121C23×C1112yes—
762#121C23×C1112yes—
763#121C23×C1112yes—
764#121C23×C1112yes—
765#121C23×C1112yes—
766#120—22no—
767#120—22no—
768#120—22no—
769#120—22no—
770#120—22no—
771#120—22no—
772#120—22no—
773#120—22no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—22no—
778C4×D4—22no—
779C4×D4—22no—
780C4×D4—22no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790#117—21no—
791#117—21no—
792#117—21no—
793#117—21no—
794#117C23×C1112yes—
795#117C23×C1112yes—
796#117C23×C1112yes—
797#117C23×C1112yes—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4C23×C1111yescharacteristic
803C2×C4⋊C4C23×C1111yescharacteristic
804C2×C4⋊C4C23×C1111yescharacteristic
805C2×C4⋊C4C23×C1111yescharacteristic
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C42—21no—
817C2×C42—21no—
818#107C23×C1114yescomplemented
819#107C23×C1114yescomplemented
820#106C23×C1114yescomplemented
821#106C23×C1114yescomplemented
822#103C23×C1114yescomplemented
823#103C23×C1114yescomplemented
824#103C23×C1114yescomplemented
825#103C23×C1114yescomplemented
826#102C23×C1114yescomplemented
827#102C23×C1114yescomplemented
828#102C23×C1114yescomplemented
829#102C23×C1114yescomplemented
830C22⋊C8C23×C1112yes—
831C22⋊C8C23×C1112yes—
832C22⋊C8C23×C1112yes—
833C22⋊C8C23×C1112yes—
834C22⋊C8C23×C1114yes—
835C22⋊C8C23×C1114yes—
836C2×C11—22no—
837C2×C11—22no—
838C2×C11—22no—
839C2×C11—41no—
840C2×C11—41no—
841C2×C11—41no—
842C2×C11—41no—
843C2×C11—82no—
844C2×C11—82no—
845C2×C11C2×#53411yescharacteristic
846C2×C11C2×#57511yescharacteristic
847C2×C11C2×#57511yescharacteristic
848C24—21no—
849C24—21no—
850C24—42no—
851C24—42no—
852C24—42no—
853C24C2×D4×C1111yescharacteristic
854C24C2×D4×C1111yescharacteristic
855C24C2×D4×C1111yescharacteristic
856C24C2×D4×C1111yescharacteristic
857C24C2×D4×C1111yescharacteristic
858C24C2×D4×C1111yescharacteristic
859C24C2×D4×C1111yescharacteristic
860#41—24no—
861#41—24no—
862#41—42no—
863#41—44no—
864#41—44no—
865#41—42no—
866#41—44no—
867#41—44no—
868#41—44no—
869#41—44no—
870C2×Q8—21no—
871C2×Q8—21no—
872C2×Q8—24no—
873C2×Q8—42no—
874C2×Q8C24×C1112yes—
875C2×Q8C24×C1112yes—
876C2×D4—22no—
877C2×D4—22no—
878C2×D4—22no—
879C2×D4—22no—
880C2×D4—22no—
881C2×D4—22no—
882C2×D4—22no—
883C2×D4—22no—
884C2×D4—22no—
885C2×D4—22no—
886C2×D4—22no—
887C2×D4—22no—
888C2×D4—21no—
889C2×D4—21no—
890C2×D4—24no—
891C2×D4—42no—
892C2×D4—44no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4C24×C1112yes—
899C2×D4C24×C1112yes—
900C22×C4—24no—
901C22×C4—24no—
902C22×C4—24no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—42no—
914C22×C4—42no—
915C22×C4—42no—
916C22×C4—42no—
917C22×C4—42no—
918C22×C4—42no—
919C22×C4—42no—
920C22×C4—42no—
921C22×C4—42no—
922C22×C4—42no—
923C22×C4—42no—
924C22×C4—44no—
925C22×C4—44no—
926C22×C4C2×D4×C1111yescharacteristic
927C22×C4C2×D4×C1111yescharacteristic
928C22×C4C2×D4×C1111yescharacteristic
929C22×C4C2×D4×C1111yescharacteristic
930C22×C4C2×D4×C1111yescharacteristic
931C22×C4C2×D4×C1111yescharacteristic
932C22×C4C2×D4×C1111yescharacteristic
933C22×C4C2×D4×C1111yescharacteristic
934C22×C4C2×D4×C1111yescharacteristic
935C22×C4C2×D4×C1111yescharacteristic
936C22×C4C2×D4×C1111yescharacteristic
937C22×C4C2×D4×C1111yescharacteristic
938C22×C4C2×D4×C1111yescharacteristic
939C22×C4C2×D4×C1111yescharacteristic
940C22×C4C2×D4×C1111yescharacteristic
941C22×C4C2×D4×C1111yescharacteristic
942C22×C4C2×D4×C1111yescharacteristic
943C22×C4C2×D4×C1111yescharacteristic
944C22×C4C2×D4×C1111yescharacteristic
945C22×C4C2×D4×C1111yescharacteristic
946C22×C4C2×D4×C1111yescharacteristic
947C22×C4C24×C1111yescharacteristic
948C22×C4C24×C1111yescharacteristic
949C22×C4C24×C1111yescharacteristic
950C22×C4C24×C1111yescharacteristic
951C22×C4C24×C1111yescharacteristic
952C22×C4C24×C1111yescharacteristic
953C22×C4C24×C1111yescharacteristic
954Q16—44no—
955SD16—44no—
956SD16—44no—
957D8—44no—
958M16—24no—
959M16—24no—
960M16—44no—
961C2×C8—44no—
962C2×C8C24×C1114yes—
963C2×C8C24×C1114yes—
964C4⋊C4—22no—
965C4⋊C4—22no—
966C4⋊C4—22no—
967C4⋊C4—22no—
968C4⋊C4—22no—
969C4⋊C4—22no—
970C4⋊C4—22no—
971C4⋊C4—22no—
972C4⋊C4—21no—
973C4⋊C4—21no—
974C4⋊C4—21no—
975C4⋊C4—21no—
976C4⋊C4C24×C1112yes—
977C4⋊C4C24×C1112yes—
978C4⋊C4C24×C1112yes—
979C4⋊C4C24×C1112yes—
980C22⋊C4—22no—
981C22⋊C4—22no—
982C22⋊C4—22no—
983C22⋊C4—22no—
984C22⋊C4—22no—
985C22⋊C4—22no—
986C22⋊C4—22no—
987C22⋊C4—22no—
988C22⋊C4—22no—
989C22⋊C4—22no—
990C22⋊C4—22no—
991C22⋊C4—22no—
992C22⋊C4—22no—
993C22⋊C4—22no—
994C22⋊C4—22no—
995C22⋊C4—22no—
996C22⋊C4—22no—
997C22⋊C4—22no—
998C22⋊C4—22no—
999C22⋊C4—22no—
1000C42—22no—
1001C42—22no—
1002C42—22no—
1003C42—22no—
1004C11#6075211yescharacteristic, direct product factor, Sylow
1005C23—22no—
1006C23—22no—
1007C23—22no—
1008C23—22no—
1009C23—22no—
1010C23—22no—
1011C23—22no—
1012C23—22no—
1013C23—22no—
1014C23—22no—
1015C23—22no—
1016C23—41no—
1017C23—41no—
1018C23—41no—
1019C23—41no—
1020C23—41no—
1021C23—41no—
1022C23—41no—
1023C23—41no—
1024C23—41no—
1025C23—41no—
1026C23—41no—
1027C23—41no—
1028C23—42no—
1029C23—42no—
1030C23—42no—
1031C23—42no—
1032C23—416no—
1033C23—42no—
1034C23—42no—
1035C23C22×D4×C1111yescharacteristic
1036C23C22×D4×C1111yescharacteristic
1037C23C22×D4×C1111yescharacteristic
1038C23C22×D4×C1111yescharacteristic
1039C23C22×D4×C1111yescharacteristic
1040C23C22×D4×C1111yescharacteristic
1041C23C22×D4×C1111yescharacteristic
1042Q8—22no—
1043Q8—24no—
1044Q8—22no—
1045Q8—42no—
1046Q8—42no—
1047D4—22no—
1048D4—24no—
1049D4—22no—
1050D4—42no—
1051D4—44no—
1052D4—44no—
1053D4—44no—
1054D4—44no—
1055D4—44no—
1056D4—44no—
1057D4—44no—
1058D4—44no—
1059D4—44no—
1060D4—44no—
1061D4—44no—
1062D4—44no—
1063D4—42no—
1064C2×C4—22no—
1065C2×C4—22no—
1066C2×C4—22no—
1067C2×C4—22no—
1068C2×C4—22no—
1069C2×C4—22no—
1070C2×C4—22no—
1071C2×C4—22no—
1072C2×C4—22no—
1073C2×C4—22no—
1074C2×C4—22no—
1075C2×C4—22no—
1076C2×C4—22no—
1077C2×C4—22no—
1078C2×C4—22no—
1079C2×C4—22no—
1080C2×C4—22no—
1081C2×C4—22no—
1082C2×C4—22no—
1083C2×C4—22no—
1084C2×C4—22no—
1085C2×C4—41no—
1086C2×C4—41no—
1087C2×C4—41no—
1088C2×C4—41no—
1089C2×C4—41no—
1090C2×C4—41no—
1091C2×C4—41no—
1092C2×C4—41no—
1093C2×C4—41no—
1094C2×C4—41no—
1095C2×C4—41no—
1096C2×C4—41no—
1097C2×C4—44no—
1098C2×C4—44no—
1099C2×C4—44no—
1100C2×C4—42no—
1101C2×C4—42no—
1102C2×C4—42no—
1103C2×C4—42no—
1104C2×C4—42no—
1105C2×C4—42no—
1106C2×C4—44no—
1107C2×C4C22×D4×C1111yescharacteristic
1108C2×C4C22×D4×C1111yescharacteristic
1109C2×C4C22×D4×C1111yescharacteristic
1110C2×C4C22×D4×C1111yescharacteristic
1111C2×C4C22×D4×C1111yescharacteristic
1112C2×C4C22×D4×C1111yescharacteristic
1113C2×C4C22×D4×C1111yescharacteristic
1114C2×C4C11×H(5,𝔽2)14yes—
1115C2×C4C25×C1111yescharacteristic
1116C8—24no—
1117C8—24no—
1118C22—21no—
1119C22—21no—
1120C22—21no—
1121C22—21no—
1122C22—21no—
1123C22—21no—
1124C22—21no—
1125C22—21no—
1126C22—21no—
1127C22—21no—
1128C22—21no—
1129C22—21no—
1130C22—21no—
1131C22—21no—
1132C22—21no—
1133C22—21no—
1134C22—21no—
1135C22—21no—
1136C22—44no—
1137C22—44no—
1138C22—44no—
1139C22—44no—
1140C22—44no—
1141C22—44no—
1142C22—44no—
1143C22—42no—
1144C22—42no—
1145C22—42no—
1146C22—42no—
1147C22—42no—
1148C22—42no—
1149C22—84no—
1150C22—84no—
1151C22C11×#53412yes—
1152C22C11×#57512yes—
1153C22C11×#57512yes—
1154C22C23×D4×C1111yescharacteristic
1155C4—21no—
1156C4—21no—
1157C4—21no—
1158C4—21no—
1159C4—21no—
1160C4—21no—
1161C4—42no—
1162C4—42no—
1163C4—42no—
1164C4—42no—
1165C4—42no—
1166C4—42no—
1167C4C11×#53412yes—
1168C4C2×C11×H(5,𝔽2)12yes—
1169C2—22no—
1170C2—22no—
1171C2—22no—
1172C2—41no—
1173C2—41no—
1174C2—41no—
1175C2—41no—
1176C2—82no—
1177C2—82no—
1178C2C2×C11×#53411yescharacteristic
1179C2C2×C11×#57511yescharacteristic
1180C2C2×C11×#57511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C24×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C11×#525C2semidirect
2. C2×C11×#525C2semidirect
3. C11×#3197C2semidirect
4. C11×#3196C2semidirect
5. C11×#3194C2semidirect
6. C11×#3191C2semidirect
7. C11×#3190C2semidirect
8. C11×#3188C2semidirect
9. C11×#3095C2semidirect
10. C11×#3094C2semidirect
11. C11×#3093C2semidirect
12. C11×#3056C2semidirect
13. C11×#3055C2semidirect
14. C11×#3007C2semidirect
15. C11×#3006C2semidirect
16. C11×#3005C2semidirect
17. C2×C11×#407C2semidirect
19. C22×C11×#41C22semidirect
21. C2×C11×#137C22semidirect
22. C2×C11×AGL(1,ℤ/8)C22semidirect
23. C22×C11×M16C22semidirect
36. C11×#525C22semidirect
37. C11×#525C22semidirect
38. C11×#525C22semidirect
39. C11×#525C22semidirect
43. C2×C11×C22⋊Q8C22semidirect
44. C2×C11×C22⋊Q8C22semidirect
45. C2×C11×C22⋊Q8C22semidirect
47. C2×C11×#121C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C11×#121C22semidirect
57. C2×C11×#117C22semidirect
58. C11×#485C22semidirect
59. C11×#485C22semidirect
60. C11×#485C22semidirect
61. C11×#484C22semidirect
62. C11×#483C22semidirect
63. C11×#482C22semidirect
64. C11×#482C22semidirect
65. C11×#482C22semidirect
66. C11×#481C22semidirect
67. C11×#480C22semidirect
68. C11×#470C22semidirect
69. C11×#469C22semidirect
70. C11×#468C22semidirect
71. C11×#468C22semidirect
72. C11×#467C22semidirect
73. C11×#466C22semidirect
74. C11×#465C22semidirect
75. C11×#465C22semidirect
76. C11×#452C22semidirect
77. C11×#452C22semidirect
78. C11×#452C22semidirect
79. C11×#451C22semidirect
80. C11×#450C22semidirect
81. C11×#449C22semidirect
82. C11×#449C22semidirect
83. C11×#449C22semidirect
84. C11×#448C22semidirect
85. C11×#447C22semidirect
86. C11×#428C22semidirect
87. C11×#428C22semidirect
88. C11×#419C22semidirect
89. C11×#418C22semidirect
90. C11×#417C22semidirect
91. C11×#417C22semidirect
94. C11×#407C22semidirect
95. C11×#407C22semidirect
96. C11×#407C22semidirect
97. C2×C11×C22⋊C8C22semidirect
98. C2×C11×C22⋊C8C22semidirect
139. C2×C11×Q16C23semidirect
140. C2×C11×SD16C23semidirect
141. C2×C11×SD16C23semidirect
142. C2×C11×D8C23semidirect
240. C11×#107C23semidirect
241. C11×#107C23semidirect
242. C11×#106C23semidirect
243. C11×#106C23semidirect
244. C11×#103C23semidirect
245. C11×#103C23semidirect
246. C11×#103C23semidirect
247. C11×#103C23semidirect
248. C11×#102C23semidirect
249. C11×#102C23semidirect
250. C11×#102C23semidirect
251. C11×#102C23semidirect
258. #60752C11direct (N × H)
415. C2×#525C2×C11semidirect
416. C2×#525C2×C11semidirect
417. #3197C2×C11semidirect
418. #3196C2×C11semidirect
419. #3194C2×C11semidirect
420. #3191C2×C11semidirect
421. #3190C2×C11semidirect
422. #3188C2×C11semidirect
423. #3095C2×C11semidirect
424. #3094C2×C11semidirect
425. #3093C2×C11semidirect
426. #3056C2×C11semidirect
427. #3055C2×C11semidirect
428. #3007C2×C11semidirect
429. #3006C2×C11semidirect
430. #3005C2×C11semidirect
431. C2×#407C2×C11semidirect
546. C22×#41C22×C11semidirect
548. C2×#137C22×C11semidirect
549. C2×AGL(1,ℤ/8)C22×C11semidirect
550. C22×M16C22×C11semidirect
563. #525C22×C11semidirect
564. #525C22×C11semidirect
565. #525C22×C11semidirect
566. #525C22×C11semidirect
570. C2×C22⋊Q8C22×C11semidirect
571. C2×C22⋊Q8C22×C11semidirect
572. C2×C22⋊Q8C22×C11semidirect
574. C2×#121C22×C11semidirect
575. C2×#121C22×C11semidirect
576. C2×#121C22×C11semidirect
584. C2×#117C22×C11semidirect
585. #485C22×C11semidirect
586. #485C22×C11semidirect
587. #485C22×C11semidirect
588. #484C22×C11semidirect
589. #483C22×C11semidirect
590. #482C22×C11semidirect
591. #482C22×C11semidirect
592. #482C22×C11semidirect
593. #481C22×C11semidirect
594. #480C22×C11semidirect
595. #470C22×C11semidirect
596. #469C22×C11semidirect
597. #468C22×C11semidirect
598. #468C22×C11semidirect
599. #467C22×C11semidirect
600. #466C22×C11semidirect
601. #465C22×C11semidirect
602. #465C22×C11semidirect
603. #452C22×C11semidirect
604. #452C22×C11semidirect
605. #452C22×C11semidirect
606. #451C22×C11semidirect
607. #450C22×C11semidirect
608. #449C22×C11semidirect
609. #449C22×C11semidirect
610. #449C22×C11semidirect
611. #448C22×C11semidirect
612. #447C22×C11semidirect
613. #428C22×C11semidirect
614. #428C22×C11semidirect
615. #419C22×C11semidirect
616. #418C22×C11semidirect
617. #417C22×C11semidirect
618. #417C22×C11semidirect
621. #407C22×C11semidirect
622. #407C22×C11semidirect
623. #407C22×C11semidirect
624. C2×C22⋊C8C22×C11semidirect
625. C2×C22⋊C8C22×C11semidirect
717. C2×Q16C23×C11semidirect
718. C2×SD16C23×C11semidirect
719. C2×SD16C23×C11semidirect
720. C2×D8C23×C11semidirect
818. #107C23×C11semidirect
819. #107C23×C11semidirect
820. #106C23×C11semidirect
821. #106C23×C11semidirect
822. #103C23×C11semidirect
823. #103C23×C11semidirect
824. #103C23×C11semidirect
825. #103C23×C11semidirect
826. #102C23×C11semidirect
827. #102C23×C11semidirect
828. #102C23×C11semidirect
829. #102C23×C11semidirect
1004. C11#60752direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5252
C11×#31972
C11×#31962
C11×#31942
C11×#31912
C11×#31902
C11×#31882
C11×#30952
C11×#30942
C11×#30932
C11×#30562
C11×#30552
C11×#30072
C11×#30062
C11×#30052
C2×C11×#4072
#6075211