Finite Group Databasebeta

← #14913435

Subgroups — #14913435

Order 2816.

2322 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623259C211yesmaximal, characteristic
2#13071714C212yesmaximal, complemented
3#13071711C212yesmaximal, complemented
4#13071705C211yesmaximal, characteristic, complemented
5#13071705C211yesmaximal, characteristic, complemented
6#13071698C214yesmaximal
7#13071676C211yesmaximal, characteristic, complemented
8#13071626C212yesmaximal
9#13071617C212yesmaximal
10#13071097C212yesmaximal
11#13071091C212yesmaximal, complemented
12#13071089C214yesmaximal, complemented
13C4×Q8×Dic11C212yesmaximal, complemented
14C4×#66945C212yesmaximal
15C4×#66945C211yesmaximal, characteristic
16C4×C4⋊C4×D11C211yesmaximal, characteristic
17C11×#2365C211yesmaximal, characteristic, complemented
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2212yes—
20C2×#66999C2212yes—
21C2×Q8×Dic11C2212yes—
22C2×Q8×Dic11C2212yes—
23#10623259C4116yescomplemented
24C2×#66950C2212yes—
25C2×#66945C2211yescharacteristic
26C2×#66945C2212yes—
27C2×#66945C2211yescharacteristic
28C2×C4⋊C4×D11C2211yescharacteristic
29C2×C4⋊C4×D11C2211yescharacteristic
30C2×#66943C2212yes—
31C2×#66940C2212yes—
32C2×C42×D11C2212yes—
33C2×C42×D11C2211yescharacteristic
34C2×#66922C2211yescharacteristic
35C11×#391C2212yes—
36C11×#389C2212yes—
37C11×#387C2214yes—
38C4×C11×C4⋊C4C2211yescharacteristic
39C4×C11×C4⋊C4C2211yescharacteristic
40C4×C11×C4⋊C4C2212yes—
41#10622843C2212yes—
42#10622602C2214yes—
43#10622598C2212yes—
44#10622594C2214yes—
45C4⋊C4×Dic11C2212yes—
46C4⋊C4×Dic11C2212yes—
47C4⋊C4×Dic11C2214yes—
48C4⋊C4×Dic11C2212yes—
49C4⋊C4×Dic11C2211yescharacteristic
50C4⋊C4×Dic11C2211yescharacteristic
51C4⋊C4×Dic11C2211yescharacteristic
52C4⋊C4×Dic11C2211yescharacteristic
53C4⋊C4×Dic11C2214yes—
54#10622586C2212yes—
55#10622586C2212yes—
56#10622585C2214yes—
57C4×(C2×D11)⋊C4C2212yes—
58C4×(C2×D11)⋊C4C2214yes—
59C4×C4⋊Dic11C2212yes—
60C4×C4⋊Dic11C2211yescharacteristic
61C4×C4⋊Dic11C2211yescharacteristic
62C4×C4⋊Dic11C2214yes—
63C4×C4⋊Dic11C2212yes—
64#10622546C2214yes—
65C4×Dic11⋊C4C2212yes—
66C42×Dic11C2214yes—
67C42×Dic11C2212yes—
68#10622541C2212yes—
69#10622541C2212yes—
70#10622281C2214yes—
71#10622279C2214yes—
72#10622279C2212yes—
73D11×#95C2212yes—
74#10622267C2214yes—
75#10622266C2214yes—
76#10622265C2214yes—
77#10622262C2212yes—
78#10622262C2214yes—
79#10622261C2212yes—
80#10622261C2214yes—
81#10622260C2214yes—
82#10622259C2214yes—
83#10622259C2214yes—
84C22×Q8×C11C2312yes—
85C22×C4×D11C2312yes—
86C22×C4×D11C2312yes—
87C22×C4×D11C2311yescharacteristic
88C22×C4×D11C2311yescharacteristic
89C22×C4×D11C2311yescharacteristic
90C22×Dic22C2312yes—
91C11×C4⋊Q8C2×C418yescomplemented
92C4×Q8×C11—28no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2314yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C42×C11C2312yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2314yes—
103C2×C42×C11C2311yescharacteristic
104#66999C2×C4116yes—
105Q8×Dic11—28no—
106Q8×Dic11C2×C4116yescomplemented
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2312yes—
110C2×C4⋊Dic11C2314yes—
111C2×C4⋊Dic11C2311yescharacteristic
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2314yes—
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118C2×Dic11⋊C4C2312yes—
119C2×Dic11⋊C4C2312yes—
120C2×Dic11⋊C4C2314yes—
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2314yes—
123C2×C4×Dic11C2312yes—
124C2×C4×Dic11C2312yes—
125C2×C4×Dic11C2312yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2314yes—
130C2×C4×Dic11C2314yes—
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2311yescharacteristic
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2312yes—
138#66950C2×C4116yes—
139#66945—24no—
140#66945C2×C4116yes—
141#66945Q818yescomplemented
142C4⋊C4×D11—24no—
143C4⋊C4×D11—24no—
144#66943C2×C4116yescomplemented
145#66940C2×C4116yescomplemented
146C42×D11—28no—
147C42×D11C2×C418yes—
148#66922C2×C418yescomplemented
149C11×#95C2312yes—
150C11×#95C2312yes—
151C11×#95C2314yes—
152C11×#95C2314yes—
153C11⋊#95C2312yes—
154C11⋊#95C2312yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160C11⋊#95C2312yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2312yes—
164C11⋊#95C2312yes—
165#34145—111nomaximal, Sylow
166C23×D11C2411yescharacteristic
167C2×Q8×C11—24no—
168C2×Q8×C11—24no—
169C2×Q8×C11C22×C418yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2411yescharacteristic
173C22×C4×C11C2414yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11C2412yes—
179C22×Dic11C2412yes—
180C22×Dic11C2411yescharacteristic
181C22×Dic11C2414yes—
182C22×Dic11C2411yescharacteristic
183C22×Dic11C2412yes—
184C22×Dic11C2412yes—
185C22×Dic11C2411yescharacteristic
186C2×C4×D11—24no—
187C2×C4×D11—24no—
188C2×C4×D11—24no—
189C2×C4×D11—22no—
190C2×C4×D11—22no—
191C2×C4×D11—24no—
192C2×C4×D11—42no—
193C2×C4×D11—41no—
194C2×C4×D11—41no—
195C2×C4×D11—42no—
196C2×C4×D11C22×C414yes—
197C2×C4×D11C22×C414yes—
198C2×C4×D11C22×C414yes—
199C2×C4×D11C2×Q814yes—
200C2×C4×D11#4114yes—
201C2×Dic22—42no—
202C2×Dic22—42no—
203C2×Dic22C22×C418yes—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—28no—
207C11×C4⋊C4C22×C418yes—
208C11×C4⋊C4C22×C418yes—
209C11×C4⋊C4C2×Q814yes—
210C11×C4⋊C4#4114yes—
211C42×C11—24no—
212C42×C11—28no—
213C42×C11—24no—
214C42×C11C22×C414yes—
215(C2×D11)⋊C4—24no—
216(C2×D11)⋊C4C22×C4116yes—
217(C2×D11)⋊C4C2×Q818yes—
218C4⋊Dic11—28no—
219C4⋊Dic11—22no—
220C4⋊Dic11—22no—
221C4⋊Dic11C22×C418yes—
222C4⋊Dic11C22×C418yes—
223C4⋊Dic11C22×C4116yes—
224C4⋊Dic11C2×Q814yes—
225C4⋊Dic11#4114yes—
226Dic11⋊C4—24no—
227Dic11⋊C4—24no—
228Dic11⋊C4—44no—
229Dic11⋊C4—44no—
230Dic11⋊C4C22×C4116yes—
231C4×Dic11—24no—
232C4×Dic11—24no—
233C4×Dic11—24no—
234C4×Dic11—28no—
235C4×Dic11—24no—
236C4×Dic11—24no—
237C4×Dic11—44no—
238C4×Dic11—42no—
239C4×Dic11—44no—
240C4×Dic11—42no—
241C4×Dic11C22×C414yes—
242C4×Dic11C22×C414yes—
243C4×Dic11C22×C414yes—
244C4×Dic11C22×C4116yes—
245C4×Dic11C2×Q818yes—
246C2×#533—111no—
247#2370—112no—
248#2370—112no—
249#2369—111no—
250#2369—111no—
251#2368—114no—
252#2365—111no—
253#2365D1111yescharacteristic, complemented
254#2360—112no—
255#2360—112no—
256#2296—112no—
257#2295—112no—
258#2295—114no—
259C42×Q8—112no—
260C4×#117—112no—
261C4×#117—111no—
262C2×C4×C4⋊C4—111no—
263C23×C11C2511yescharacteristic
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—21no—
268C22×D11C23×C412yes—
269C22×D11C22×Q812yes—
270C22×D11C2×#4112yes—
271Q8×C11—216no—
272C2×C4×C11—24no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11C23×C418yes—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C23×C412yes—
290C2×C4×C11C22×Q814yes—
291C2×C4×C11C22×Q812yes—
292C2×C4×C11C2×#4114yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C11C2×#4112yes—
295C2×C4×C11C2×#4112yes—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—22no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11C23×C412yes—
313C2×Dic11C23×C412yes—
314C2×Dic11C23×C418yes—
315C2×Dic11C23×C412yes—
316C2×Dic11C22×Q814yes—
317C2×Dic11C22×Q812yes—
318C2×Dic11C2×#4114yes—
319C2×Dic11C2×#4112yes—
320C4×D11—28no—
321C4×D11—44no—
322C4×D11—48no—
323C4×D11—48no—
324C4×D11C4×Q8116yescomplemented
325Dic22—48no—
326#533—1116no—
327C2×C4⋊Q8—111no—
328C2×C4⋊Q8C2×D1111yescharacteristic
329C2×#125—112no—
330C2×C22⋊Q8—112no—
331C2×C22⋊Q8—112no—
332C2×C4×Q8—112no—
333C2×C4×Q8—112no—
334C2×C4×Q8—112no—
335C2×C4×Q8C2×D1112yes—
336C2×#117—112no—
337C2×#117—111no—
338C2×#117—111no—
339C22×C4⋊C4—111no—
340C22×C4⋊C4—111no—
341C22×C42—111no—
342C22×C42—112no—
343#391—112no—
344#391—114no—
345#391—114no—
346#391C2×D1112yes—
347#389—112no—
348#389—114no—
349#389—112no—
350#389—112no—
351#389—112no—
352#389—112no—
353#389—114no—
354#389C2×D1112yes—
355#387—114no—
356#387—114no—
357#387—114no—
358#387—114no—
359#387—114no—
360#387C2×D1114yes—
361#385—114no—
362#385—114no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—112no—
365C4×C4⋊C4—114no—
366C4×C4⋊C4—112no—
367C4×C4⋊C4—111no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—111no—
370C4×C4⋊C4—111no—
371C4×C4⋊C4—114no—
372C4×C4⋊C4—112no—
373C4×C4⋊C4—111no—
374C4×C4⋊C4—111no—
375C4×C4⋊C4—114no—
376C4×C4⋊C4—112no—
377C4×C4⋊C4—112no—
378C4×C4⋊C4—112no—
379C4×C4⋊C4—114no—
380C4×C4⋊C4C2×D1111yescharacteristic
381C4×C4⋊C4C2×D1111yescharacteristic
382C4×C4⋊C4C2×D1112yes—
383C4×C22⋊C4—112no—
384C4×C22⋊C4—114no—
385C4×C22⋊C4—114no—
386C4×C22⋊C4—112no—
387#376—112no—
388#376—114no—
389C2×#95—112no—
390C43—114no—
391C43—112no—
392C22×C11C24×C411yescharacteristic
393C22×C11C23×Q811yescharacteristic
394C22×C11C22×#4111yescharacteristic
395C22×C11C22×#4111yescharacteristic
396C22×C11C22×#4111yescharacteristic
397C22×C11#58511yescharacteristic
398C22×C11#58511yescharacteristic
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—22no—
403C2×D11—22no—
404C2×D11—22no—
405C2×D11C2×C4×Q814yes—
406C4×C11—28no—
407C4×C11—22no—
408C4×C11—24no—
409C4×C11—24no—
410C4×C11—42no—
411C4×C11—42no—
412C4×C11C2×C4×Q814yes—
413C4×C11C4×#4114yes—
414Dic11—22no—
415Dic11—28no—
416Dic11—22no—
417Dic11—24no—
418Dic11—24no—
419Dic11—42no—
420Dic11—42no—
421Dic11C2×C4×Q814yes—
422C22×Q8—112no—
423C22×Q8C22×D1112yes—
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—111no—
427C23×C4—112no—
428C23×C4—112no—
429C4⋊Q8—118no—
430C4⋊Q8C4×D1118yescomplemented
431#125—1116no—
432C22⋊Q8—1116no—
433C22⋊Q8—1116no—
434C4×Q8—28no—
435C4×Q8—1116no—
436C4×Q8—1116no—
437C4×Q8—228no—
438#117—1116no—
439#117—118no—
440#117—224no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—114no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—114no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—224no—
455C2×C4⋊C4—224no—
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1114yes—
459C2×C4⋊C4C22×D1112yes—
460C2×C4⋊C4C22×D1112yes—
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C4⋊C4C22×D1111yescharacteristic
463C2×C22⋊C4—114no—
464C2×C22⋊C4—112no—
465C2×C22⋊C4—112no—
466C2×C42—114no—
467C2×C42—112no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—111no—
471C2×C42—118no—
472C2×C42—112no—
473C2×C42—114no—
474C2×C42—112no—
475C2×C42—112no—
476C2×C42—112no—
477C2×C42—112no—
478C2×C42—112no—
479C2×C42—112no—
480C2×C42—114no—
481C2×C42—114no—
482C2×C42—228no—
483C2×C42C22×D1114yes—
484C2×C42C22×D1112yes—
485C2×C42C22×D1112yes—
486C2×C42C22×D1111yescharacteristic
487#95—112no—
488#95—112no—
489#95—112no—
490#95—112no—
491#95—112no—
492#95—114no—
493#95—114no—
494#95—114no—
495#95—112no—
496#95—114no—
497#95—114no—
498#95—114no—
499#95C22×D1112yes—
500#95C22×D1114yes—
501#95C22×D1112yes—
502#95C22×D1114yes—
503C2×C11C22×C4×Q811yescharacteristic
504C2×C11C2×C4×#4111yescharacteristic
505C2×C11#342811yescharacteristic
506C2×C11#347511yescharacteristic
507C2×C11#347511yescharacteristic
508C2×C11Q8×#4111yescharacteristic
509C2×C11Q8×#4111yescharacteristic
510D11—24no—
511C24—111no—
512C2×Q8—24no—
513C2×Q8—24no—
514C2×Q8—118no—
515C2×Q8—442no—
516C2×Q8—442no—
517C2×Q8C2×C4×D1118yes—
518C22×C4—111no—
519C22×C4—114no—
520C22×C4—114no—
521C22×C4—114no—
522C22×C4—112no—
523C22×C4—111no—
524C22×C4—112no—
525C22×C4—114no—
526C22×C4—111no—
527C22×C4—114no—
528C22×C4—114no—
529C22×C4—112no—
530C22×C4—112no—
531C22×C4—224no—
532C22×C4—224no—
533C22×C4—224no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—224no—
537C22×C4—442no—
538C22×C4—441no—
539C22×C4—441no—
540C22×C4—442no—
541C22×C4C23×D1112yes—
542C22×C4C23×D1112yes—
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1114yes—
545C22×C4C23×D1112yes—
546C22×C4C23×D1112yes—
547C22×C4C23×D1111yescharacteristic
548C22×C4C23×D1111yescharacteristic
549C4⋊C4—28no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—118no—
553C4⋊C4—1116no—
554C4⋊C4—1116no—
555C4⋊C4—118no—
556C4⋊C4—114no—
557C4⋊C4—114no—
558C4⋊C4—224no—
559C4⋊C4—228no—
560C4⋊C4—224no—
561C4⋊C4—222no—
562C4⋊C4—222no—
563C4⋊C4—444no—
564C4⋊C4—444no—
565C4⋊C4C2×C4×D1118yes—
566C4⋊C4C2×C4×D1118yes—
567C4⋊C4#434114yes—
568C4⋊C4Q8×D1114yes—
569C22⋊C4—1116no—
570C22⋊C4—118no—
571C22⋊C4—224no—
572C42—28no—
573C42—24no—
574C42—24no—
575C42—114no—
576C42—114no—
577C42—114no—
578C42—1116no—
579C42—118no—
580C42—224no—
581C42—224no—
582C42—224no—
583C42—228no—
584C42—224no—
585C42—224no—
586C42—444no—
587C42—442no—
588C42—444no—
589C42—442no—
590C42C2×C4×D1114yes—
591C11#3414511yescharacteristic, complemented, Sylow
592C23—112no—
593C23—112no—
594C23—112no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23C24×D1111yescharacteristic
600Q8—216no—
601Q8—448no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—1116no—
620C2×C4—112no—
621C2×C4—112no—
622C2×C4—118no—
623C2×C4—114no—
624C2×C4—114no—
625C2×C4—221no—
626C2×C4—222no—
627C2×C4—222no—
628C2×C4—221no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—224no—
634C2×C4—224no—
635C2×C4—228no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—444no—
643C2×C4—448no—
644C2×C4—448no—
645C2×C4C22×C4×D1112yes—
646C2×C4C22×C4×D1118yes—
647C2×C4C22×C4×D1112yes—
648C2×C4C22×C4×D1112yes—
649C2×C4C2×#434114yes—
650C2×C4C2×#434112yes—
651C2×C4C2×Q8×D1114yes—
652C2×C4C2×Q8×D1112yes—
653C2×C4#41×D1112yes—
654C2×C4#41×D1112yes—
655C22—114no—
656C22—222no—
657C22—222no—
658C22—222no—
659C22—222no—
660C22—222no—
661C22—222no—
662C22C23×C4×D1111yescharacteristic
663C22C22×#434111yescharacteristic
664C22C22×Q8×D1111yescharacteristic
665C22C2×#41×D1111yescharacteristic
666C22C2×#41×D1111yescharacteristic
667C22#1062345711yescharacteristic
668C22#1062345711yescharacteristic
669C4—24no—
670C4—24no—
671C4—28no—
672C4—22no—
673C4—42no—
674C4—42no—
675C4—114no—
676C4—224no—
677C4—224no—
678C4—222no—
679C4—222no—
680C4—228no—
681C4—442no—
682C4—442no—
683C4C4×#434114yes—
684C4C4×Q8×D1114yes—
685C2—224no—
686C2C2×C4×Q8×D1111yescharacteristic
687C2C2×C4×#434111yescharacteristic
688C2#1308181811yescharacteristic
689C2#1308217711yescharacteristic
690C2#1308217911yescharacteristic
691C2Q8×#434111yescharacteristic
692C2#1308219811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2365C2
socle, cosocleC23×C11C25
prime radicalC23×D11C24
hypercenter#2365D11
hypocenterC11#34145
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2365

Complements

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

NH ≅ G/Ntype
2. #13071714C2semidirect
3. #13071711C2semidirect
4. #13071705C2semidirect
5. #13071705C2semidirect
7. #13071676C2semidirect
11. #13071091C2semidirect
12. #13071089C2semidirect
13. C4×Q8×Dic11C2semidirect
17. C11×#2365C2semidirect
23. #10623259C4semidirect
91. C11×C4⋊Q8C2×C4semidirect
106. Q8×Dic11C2×C4semidirect
141. #66945Q8semidirect
144. #66943C2×C4semidirect
145. #66940C2×C4semidirect
148. #66922C2×C4semidirect
253. #2365D11semidirect
324. C4×D11C4×Q8semidirect
430. C4⋊Q8C4×D11semidirect
591. C11#34145semidirect

Maximal subgroups

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

subgroupindex
C2×#106232592
#130717142
#130717112
#130717052
#130716982
#130716762
#130716262
#130716172
#130710972
#130710912
#130710892
C4×Q8×Dic112
C4×#669452
C4×C4⋊C4×D112
C11×#23652
#3414511