Finite Group Databasebeta

← C11×#34951 #14612144

Subgroups — C11×#34951 #14612144

Order 2816.

1692 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2585C214yesmaximal
2C11×#2582C211yesmaximal, characteristic
3C11×#2568C211yesmaximal, characteristic
4C11×#2552C211yesmaximal, characteristic
5C11×#2546C211yesmaximal, characteristic
6C11×#2511C212yesmaximal
7C11×#2509C212yesmaximal
8C11×#2453C212yesmaximal
9C11×#2446C212yesmaximal
10C11×#2402C214yesmaximal
11C4×C11×C4⋊Q8C211yesmaximal, characteristic
12C4×C11×C4⋊Q8C212yesmaximal
13C4×C11×#125C212yesmaximal
14C11×#2295C212yesmaximal
15C11×#2295C212yesmaximal
16C42×Q8×C11C211yesmaximal, characteristic
17C42×Q8×C11C211yesmaximal, characteristic
18C2×C11×C4⋊Q8C2212yes—
19C2×C11×C4⋊Q8C2211yescharacteristic
20C2×C11×#125C2212yes—
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×Q8×C11C2211yescharacteristic
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×Q8×C11C2211yescharacteristic
26C2×C4×Q8×C11C2212yes—
27C2×C4×Q8×C11C2211yescharacteristic
28C11×#400C2214yes—
29C11×#400C2214yes—
30C11×#400C2214yes—
31C11×#400C2214yes—
32C11×#398C2214yes—
33C11×#398C2214yes—
34C11×#398C2214yes—
35C11×#398C2214yes—
36C11×#391C2212yes—
37C11×#391C2212yes—
38C11×#391C2212yes—
39C11×#391C2212yes—
40C11×#391C2212yes—
41C11×#391C2212yes—
42C11×#391C2212yes—
43C11×#389C2212yes—
44C11×#389C2212yes—
45C11×#389C2212yes—
46C11×#389C2214yes—
47C11×#389C2212yes—
48C11×#389C2212yes—
49C11×#389C2212yes—
50C11×#389C2214yes—
51C11×#389C2212yes—
52C11×#389C2212yes—
53C11×#387C2214yes—
54C11×#387C2214yes—
55C11×#387C2214yes—
56C11×#387C2214yes—
57C11×#387C2214yes—
58C11×#387C2214yes—
59C11×#384C2212yes—
60C11×#384C2211yescharacteristic
61C11×#382C2212yes—
62C4×C11×C4⋊C4C2212yes—
63C4×C11×C4⋊C4C2212yes—
64C4×C11×C4⋊C4C2212yes—
65C4×C11×C4⋊C4C2214yes—
66C4×C11×C4⋊C4C2214yes—
67C4×C11×C4⋊C4C2214yes—
68C4×C11×C4⋊C4C2212yes—
69C4×C11×C4⋊C4C2212yes—
70C4×C11×C4⋊C4C2211yescharacteristic
71C4×C11×C4⋊C4C2211yescharacteristic
72C4×C11×C4⋊C4C2211yescharacteristic
73C4×C11×C4⋊C4C2211yescharacteristic
74C4×C11×C4⋊C4C2211yescharacteristic
75C4×C11×C4⋊C4C2211yescharacteristic
76C4×C11×C4⋊C4C2212yes—
77C4×C11×C4⋊C4C2212yes—
78C4×C11×C4⋊C4C2212yes—
79C11×#376C2214yes—
80C43×C11C2211yescharacteristic
81C43×C11C2212yes—
82C43×C11C2212yes—
83C22×Q8×C11C2312yes—
84C22×Q8×C11C2311yescharacteristic
85C22×Q8×C11C2311yescharacteristic
86C11×C4⋊Q8—28no—
87C11×C4⋊Q8—24no—
88C11×#125—28no—
89C4×Q8×C11—24no—
90C4×Q8×C11—24no—
91C4×Q8×C11—24no—
92C4×Q8×C11—28no—
93C4×Q8×C11—24no—
94C4×Q8×C11—24no—
95C4×Q8×C11Q818yescomplemented
96C2×C11×C4⋊C4C2311yescharacteristic
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2311yescharacteristic
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C4⋊C4C2312yes—
103C2×C11×C4⋊C4C2312yes—
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C4⋊C4C2312yes—
106C2×C11×C4⋊C4C2314yes—
107C2×C11×C4⋊C4C2312yes—
108C2×C11×C4⋊C4C2314yes—
109C2×C11×C4⋊C4C2314yes—
110C2×C11×C4⋊C4C2314yes—
111C2×C11×C4⋊C4C2312yes—
112C2×C11×C4⋊C4C2312yes—
113C2×C11×C4⋊C4C2314yes—
114C2×C11×C4⋊C4C2314yes—
115C2×C11×C4⋊C4C2312yes—
116C2×C11×C4⋊C4C2314yes—
117C2×C11×C4⋊C4C2312yes—
118C2×C11×C4⋊C4C2311yescharacteristic
119C2×C11×C4⋊C4C2311yescharacteristic
120C2×C42×C11C2311yescharacteristic
121C2×C42×C11C2311yescharacteristic
122C2×C42×C11C2312yes—
123C2×C42×C11C2312yes—
124C2×C42×C11C2312yes—
125C2×C42×C11C2312yes—
126C2×C42×C11C2312yes—
127C2×C42×C11C2312yes—
128C2×C42×C11C2312yes—
129C2×C42×C11C2311yescharacteristic
130C2×C42×C11C2312yes—
131C2×C42×C11C2312yes—
132C2×C42×C11C2314yes—
133C2×C42×C11C2311yescharacteristic
134C2×C42×C11C2312yes—
135C2×C42×C11C2312yes—
136C2×C42×C11C2311yescharacteristic
137C2×C42×C11C2312yes—
138C2×C42×C11C2311yescharacteristic
139C2×C42×C11C2311yescharacteristic
140C11×#95C2314yes—
141C11×#95C2314yes—
142C11×#95C2314yes—
143C11×#95C2314yes—
144C11×#95C2312yes—
145C11×#95C2312yes—
146C11×#95C2312yes—
147C11×#95C2312yes—
148C11×#95C2312yes—
149C11×#95C2312yes—
150C11×#95C2314yes—
151C11×#95C2314yes—
152C11×#95C2314yes—
153C11×#95C2314yes—
154C11×#95C2314yes—
155C11×#95C2314yes—
156C11×#95C2314yes—
157C11×#95C2314yes—
158#34951C1111yesmaximal, characteristic, direct product factor, Sylow
159C2×Q8×C11—22no—
160C2×Q8×C11—22no—
161C2×Q8×C11—22no—
162C2×Q8×C11—22no—
163C2×Q8×C11—24no—
164C2×Q8×C11—24no—
165C2×Q8×C11—24no—
166C2×Q8×C11C2×Q814yes—
167C2×Q8×C11#4114yes—
168C22×C4×C11C2412yes—
169C22×C4×C11C2411yescharacteristic
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2414yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2414yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2412yes—
178C22×C4×C11C2412yes—
179C22×C4×C11C2411yescharacteristic
180C22×C4×C11C2412yes—
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C11×C4⋊C4—24no—
186C11×C4⋊C4—24no—
187C11×C4⋊C4—24no—
188C11×C4⋊C4—24no—
189C11×C4⋊C4—24no—
190C11×C4⋊C4—22no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—22no—
195C11×C4⋊C4—28no—
196C11×C4⋊C4—28no—
197C11×C4⋊C4—28no—
198C11×C4⋊C4—24no—
199C11×C4⋊C4—28no—
200C11×C4⋊C4—28no—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—24no—
203C11×C4⋊C4—44no—
204C11×C4⋊C4—42no—
205C11×C4⋊C4—44no—
206C11×C4⋊C4C2×Q818yes—
207C11×C4⋊C4C2×Q814yes—
208C11×C4⋊C4#4114yes—
209C42×C11—24no—
210C42×C11—24no—
211C42×C11—22no—
212C42×C11—22no—
213C42×C11—24no—
214C42×C11—24no—
215C42×C11—24no—
216C42×C11—28no—
217C42×C11—24no—
218C42×C11—24no—
219C42×C11—22no—
220C42×C11—24no—
221C42×C11—24no—
222C42×C11—41no—
223C42×C11—42no—
224C42×C11—42no—
225C42×C11C2×Q818yes—
226C42×C11C2×Q814yes—
227C42×C11#4114yes—
228C42×C11#4114yes—
229#2585C2×C1114yes—
230#2582C2×C1111yescharacteristic
231#2568C2×C1111yescharacteristic
232#2552C2×C1111yescharacteristic
233#2546C2×C1111yescharacteristic
234#2511C2×C1112yes—
235#2509C2×C1112yes—
236#2453C2×C1112yes—
237#2446C2×C1112yes—
238#2402C2×C1114yes—
239C4×C4⋊Q8C2×C1112yes—
240C4×C4⋊Q8C2×C1111yescharacteristic
241C4×#125C2×C1112yes—
242#2295C2×C1112yes—
243#2295C2×C1112yes—
244C42×Q8C2×C1111yescharacteristic
245C42×Q8C2×C1111yescharacteristic
246C23×C11C2511yescharacteristic
247Q8×C11—28no—
248Q8×C11—28no—
249Q8×C11—48no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—22no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—21no—
259C2×C4×C11—22no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11—21no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—24no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—24no—
274C2×C4×C11—24no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11C22×Q812yes—
286C2×C4×C11C22×Q814yes—
287C2×C4×C11C22×Q814yes—
288C2×C4×C11C22×Q812yes—
289C2×C4×C11C22×Q812yes—
290C2×C4×C11C2×#4114yes—
291C2×C4×C11C2×#4114yes—
292C2×C4×C11C2×#4112yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C11C2×#4112yes—
295C2×C4×C11C2×#4112yes—
296C2×C4×C11C2×#4112yes—
297C2×C4×C11C2×#4112yes—
298C2×C4×C11C2×#4112yes—
299C2×C4×C11C2×#4112yes—
300C2×C4×C112−1+412yes—
301C2×C4⋊Q8C22×C1111yescharacteristic
302C2×C4⋊Q8C22×C1112yes—
303C2×#125C22×C1112yes—
304C2×C4×Q8C22×C1111yescharacteristic
305C2×C4×Q8C22×C1112yes—
306C2×C4×Q8C22×C1111yescharacteristic
307C2×C4×Q8C22×C1111yescharacteristic
308C2×C4×Q8C22×C1111yescharacteristic
309C2×C4×Q8C22×C1111yescharacteristic
310C2×C4×Q8C22×C1111yescharacteristic
311#400C22×C1114yes—
312#400C22×C1114yes—
313#400C22×C1114yes—
314#400C22×C1114yes—
315#398C22×C1114yes—
316#398C22×C1114yes—
317#398C22×C1114yes—
318#398C22×C1114yes—
319#391C22×C1112yes—
320#391C22×C1112yes—
321#391C22×C1112yes—
322#391C22×C1112yes—
323#391C22×C1112yes—
324#391C22×C1112yes—
325#391C22×C1112yes—
326#389C22×C1112yes—
327#389C22×C1112yes—
328#389C22×C1112yes—
329#389C22×C1114yes—
330#389C22×C1114yes—
331#389C22×C1112yes—
332#389C22×C1112yes—
333#389C22×C1112yes—
334#389C22×C1112yes—
335#389C22×C1112yes—
336#387C22×C1114yes—
337#387C22×C1114yes—
338#387C22×C1114yes—
339#387C22×C1114yes—
340#387C22×C1114yes—
341#387C22×C1114yes—
342#384C22×C1111yescharacteristic
343#384C22×C1112yes—
344#382C22×C1112yes—
345C4×C4⋊C4C22×C1111yescharacteristic
346C4×C4⋊C4C22×C1114yes—
347C4×C4⋊C4C22×C1112yes—
348C4×C4⋊C4C22×C1114yes—
349C4×C4⋊C4C22×C1112yes—
350C4×C4⋊C4C22×C1114yes—
351C4×C4⋊C4C22×C1111yescharacteristic
352C4×C4⋊C4C22×C1112yes—
353C4×C4⋊C4C22×C1112yes—
354C4×C4⋊C4C22×C1112yes—
355C4×C4⋊C4C22×C1112yes—
356C4×C4⋊C4C22×C1112yes—
357C4×C4⋊C4C22×C1112yes—
358C4×C4⋊C4C22×C1111yescharacteristic
359C4×C4⋊C4C22×C1111yescharacteristic
360C4×C4⋊C4C22×C1111yescharacteristic
361C4×C4⋊C4C22×C1111yescharacteristic
362#376C22×C1114yes—
363C43C22×C1112yes—
364C43C22×C1111yescharacteristic
365C43C22×C1112yes—
366C22×C11C23×Q811yescharacteristic
367C22×C11C22×#4111yescharacteristic
368C22×C11C22×#4111yescharacteristic
369C22×C11C22×#4111yescharacteristic
370C22×C11C22×#4111yescharacteristic
371C22×C11C2×2−1+411yescharacteristic
372C22×C11#58511yescharacteristic
373C4×C11—24no—
374C4×C11—24no—
375C4×C11—22no—
376C4×C11—22no—
377C4×C11—24no—
378C4×C11—22no—
379C4×C11—24no—
380C4×C11—44no—
381C4×C11—42no—
382C4×C11—42no—
383C4×C11—42no—
384C4×C11—44no—
385C4×C11—41no—
386C4×C11—42no—
387C4×C11#52914yes—
388C4×C11#53314yes—
389C4×C11#55714yes—
390C22×Q8C23×C1112yes—
391C22×Q8C23×C1111yescharacteristic
392C22×Q8C23×C1111yescharacteristic
393C4⋊Q8—28no—
394C4⋊Q8—24no—
395#125—28no—
396C4×Q8—24no—
397C4×Q8—24no—
398C4×Q8—24no—
399C4×Q8—28no—
400C4×Q8—24no—
401C4×Q8—24no—
402C4×Q8Q8×C1118yescomplemented
403C2×C4⋊C4C23×C1111yescharacteristic
404C2×C4⋊C4C23×C1111yescharacteristic
405C2×C4⋊C4C23×C1112yes—
406C2×C4⋊C4C23×C1111yescharacteristic
407C2×C4⋊C4C23×C1111yescharacteristic
408C2×C4⋊C4C23×C1112yes—
409C2×C4⋊C4C23×C1112yes—
410C2×C4⋊C4C23×C1112yes—
411C2×C4⋊C4C23×C1112yes—
412C2×C4⋊C4C23×C1112yes—
413C2×C4⋊C4C23×C1114yes—
414C2×C4⋊C4C23×C1114yes—
415C2×C4⋊C4C23×C1112yes—
416C2×C4⋊C4C23×C1114yes—
417C2×C4⋊C4C23×C1112yes—
418C2×C4⋊C4C23×C1114yes—
419C2×C4⋊C4C23×C1114yes—
420C2×C4⋊C4C23×C1112yes—
421C2×C4⋊C4C23×C1114yes—
422C2×C4⋊C4C23×C1112yes—
423C2×C4⋊C4C23×C1114yes—
424C2×C4⋊C4C23×C1112yes—
425C2×C4⋊C4C23×C1111yescharacteristic
426C2×C4⋊C4C23×C1111yescharacteristic
427C2×C42C23×C1112yes—
428C2×C42C23×C1111yescharacteristic
429C2×C42C23×C1111yescharacteristic
430C2×C42C23×C1112yes—
431C2×C42C23×C1112yes—
432C2×C42C23×C1112yes—
433C2×C42C23×C1112yes—
434C2×C42C23×C1114yes—
435C2×C42C23×C1112yes—
436C2×C42C23×C1112yes—
437C2×C42C23×C1112yes—
438C2×C42C23×C1111yescharacteristic
439C2×C42C23×C1112yes—
440C2×C42C23×C1111yescharacteristic
441C2×C42C23×C1112yes—
442C2×C42C23×C1112yes—
443C2×C42C23×C1111yescharacteristic
444C2×C42C23×C1112yes—
445C2×C42C23×C1111yescharacteristic
446C2×C42C23×C1111yescharacteristic
447#95C23×C1114yes—
448#95C23×C1114yes—
449#95C23×C1114yes—
450#95C23×C1114yes—
451#95C23×C1112yes—
452#95C23×C1112yes—
453#95C23×C1112yes—
454#95C23×C1112yes—
455#95C23×C1112yes—
456#95C23×C1112yes—
457#95C23×C1114yes—
458#95C23×C1114yes—
459#95C23×C1114yes—
460#95C23×C1114yes—
461#95C23×C1114yes—
462#95C23×C1114yes—
463#95C23×C1114yes—
464#95C23×C1114yes—
465C2×C11C2×#52911yescharacteristic
466C2×C11C2×#53311yescharacteristic
467C2×C11#346111yescharacteristic
468C2×C11C2×#55711yescharacteristic
469C2×C11Q8×#4111yescharacteristic
470C2×C11#348011yescharacteristic
471C2×C11#348211yescharacteristic
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—24no—
479C2×Q8C2×Q8×C1114yes—
480C2×Q8C11×#4114yes—
481C22×C4C24×C1112yes—
482C22×C4C24×C1111yescharacteristic
483C22×C4C24×C1112yes—
484C22×C4C24×C1112yes—
485C22×C4C24×C1114yes—
486C22×C4C24×C1112yes—
487C22×C4C24×C1114yes—
488C22×C4C24×C1112yes—
489C22×C4C24×C1111yescharacteristic
490C22×C4C24×C1112yes—
491C22×C4C24×C1112yes—
492C22×C4C24×C1111yescharacteristic
493C22×C4C24×C1112yes—
494C22×C4C24×C1111yescharacteristic
495C22×C4C24×C1111yescharacteristic
496C22×C4C24×C1111yescharacteristic
497C22×C4C24×C1111yescharacteristic
498C4⋊C4—24no—
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—22no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—24no—
507C4⋊C4—22no—
508C4⋊C4—28no—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—24no—
512C4⋊C4—28no—
513C4⋊C4—28no—
514C4⋊C4—24no—
515C4⋊C4—24no—
516C4⋊C4—44no—
517C4⋊C4—42no—
518C4⋊C4—44no—
519C4⋊C4C2×Q8×C1118yes—
520C4⋊C4C2×Q8×C1114yes—
521C4⋊C4C11×#4114yes—
522C42—24no—
523C42—24no—
524C42—22no—
525C42—22no—
526C42—24no—
527C42—24no—
528C42—24no—
529C42—28no—
530C42—24no—
531C42—24no—
532C42—22no—
533C42—24no—
534C42—24no—
535C42—41no—
536C42—42no—
537C42—42no—
538C42C2×Q8×C1118yes—
539C42C2×Q8×C1114yes—
540C42C11×#4114yes—
541C42C11×#4114yes—
542C11#3495111yescharacteristic, direct product factor, Sylow
543C23C25×C1111yescharacteristic
544Q8—28no—
545Q8—28no—
546Q8—48no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4C22×Q8×C1112yes—
583C2×C4C22×Q8×C1114yes—
584C2×C4C22×Q8×C1114yes—
585C2×C4C22×Q8×C1112yes—
586C2×C4C22×Q8×C1112yes—
587C2×C4C2×C11×#4114yes—
588C2×C4C2×C11×#4114yes—
589C2×C4C2×C11×#4112yes—
590C2×C4C2×C11×#4112yes—
591C2×C4C2×C11×#4112yes—
592C2×C4C2×C11×#4112yes—
593C2×C4C2×C11×#4112yes—
594C2×C4C2×C11×#4112yes—
595C2×C4C2×C11×#4112yes—
596C2×C4C2×C11×#4112yes—
597C2×C4C11×2−1+412yes—
598C22C23×Q8×C1111yescharacteristic
599C22C22×C11×#4111yescharacteristic
600C22C22×C11×#4111yescharacteristic
601C22C22×C11×#4111yescharacteristic
602C22C22×C11×#4111yescharacteristic
603C22C2×C11×2−1+411yescharacteristic
604C22C11×#58511yescharacteristic
605C4—24no—
606C4—24no—
607C4—22no—
608C4—22no—
609C4—24no—
610C4—22no—
611C4—24no—
612C4—44no—
613C4—42no—
614C4—42no—
615C4—42no—
616C4—44no—
617C4—41no—
618C4—42no—
619C4C11×#52914yes—
620C4C11×#53314yes—
621C4C11×#55714yes—
622C2C2×C11×#52911yescharacteristic
623C2C2×C11×#53311yescharacteristic
624C2C11×#346111yescharacteristic
625C2C2×C11×#55711yescharacteristic
626C2Q8×C11×#4111yescharacteristic
627C2C11×#348011yescharacteristic
628C2C11×#348211yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutator, Frattini, cosocleC23C25×C11
socle, prime radicalC23×C11C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
95. C4×Q8×C11Q8semidirect
158. #34951C11direct (N × H)
402. C4×Q8Q8×C11semidirect
542. C11#34951direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25852
C11×#25822
C11×#25682
C11×#25522
C11×#25462
C11×#25112
C11×#25092
C11×#24532
C11×#24462
C11×#24022
C4×C11×C4⋊Q82
C4×C11×#1252
C11×#22952
C42×Q8×C112
#3495111