Finite Group Databasebeta

← #14914211

Subgroups — #14914211

Order 2816.

2226 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623259C211yesmaximal, characteristic
2#13071717C212yesmaximal, complemented
3#13071708C212yesmaximal, complemented
4#13071705C211yesmaximal, characteristic, complemented
5#13071705C211yesmaximal, characteristic, complemented
6#13071676C211yesmaximal, characteristic, complemented
7#13071572C212yesmaximal, complemented
8#13071570C214yesmaximal, complemented
9Q8×Dic11⋊C4C212yesmaximal, complemented
10#13071345C214yesmaximal
11#13071238C212yesmaximal
12#13071154C212yesmaximal
13C4×#66999C212yesmaximal
14#13071020C211yesmaximal, characteristic
15#13070970C212yesmaximal
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×#66945C2212yes—
26C2×C4⋊C4×D11C2211yescharacteristic
27C2×C4⋊C4×D11C2211yescharacteristic
28C2×#66943C2212yes—
29C2×#66940C2212yes—
30C2×#66925C2212yes—
31C2×C42×D11C2212yes—
32C2×C42×D11C2211yescharacteristic
33C2×#66922C2211yescharacteristic
34C11×#391C2212yes—
35C11×#389C2212yes—
36C11×#387C2214yes—
37C4×C11×C4⋊C4C2211yescharacteristic
38C4×C11×C4⋊C4C2211yescharacteristic
39C4×C11×C4⋊C4C2212yes—
40#10622843C2212yes—
41#10622602C2214yes—
42#10622600C2211yescharacteristic
43#10622600C2211yescharacteristic
44#10622598C2212yes—
45#10622594C2214yes—
46#10622591C2214yes—
47#10622589C2214yes—
48#10622589C2211yescharacteristic
49#10622589C2211yescharacteristic
50C4⋊C4×Dic11C2212yes—
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2212yes—
53C4⋊C4×Dic11C2211yescharacteristic
54C4⋊C4×Dic11C2211yescharacteristic
55#10622586C2212yes—
56#10622586C2212yes—
57#10622586C2214yes—
58C4×(C2×D11)⋊C4C2214yes—
59C4×C4⋊Dic11C2212yes—
60C4×C4⋊Dic11C2211yescharacteristic
61C4×C4⋊Dic11C2211yescharacteristic
62C4×C4⋊Dic11C2212yes—
63C4×Dic11⋊C4C2214yes—
64C4×Dic11⋊C4C2212yes—
65C4×Dic11⋊C4C2212yes—
66C4×Dic11⋊C4C2214yes—
67#10622541C2212yes—
68#10622541C2212yes—
69#10622541C2214yes—
70#10622281C2214yes—
71#10622280C2212yes—
72#10622279C2214yes—
73D11×#95C2212yes—
74#10622268C2214yes—
75#10622267C2214yes—
76#10622266C2214yes—
77#10622263C2214yes—
78#10622263C2212yes—
79#10622262C2214yes—
80#10622262C2212yes—
81#10622262C2214yes—
82#10622259C2214yes—
83#10622259C2214yes—
84C22×Q8×C11C2312yes—
85C22×C4×D11C2311yescharacteristic
86C22×C4×D11C2312yes—
87C22×C4×D11C2311yescharacteristic
88C22×C4×D11C2312yes—
89C22×C4×D11C2311yescharacteristic
90C22×Dic22C2312yes—
91C11×C4⋊Q8C2×C418yescomplemented
92C4×Q8×C11—44no—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C42×C11C2312yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2314yes—
103C2×C42×C11C2311yescharacteristic
104#66999C2×C4116yes—
105Q8×Dic11—44no—
106Q8×Dic11C2×C4116yescomplemented
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2312yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×C4⋊Dic11C2311yescharacteristic
111C2×C4⋊Dic11C2311yescharacteristic
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2314yes—
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2314yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×Dic11⋊C4C2312yes—
119C2×Dic11⋊C4C2312yes—
120C2×Dic11⋊C4C2312yes—
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2312yes—
124C2×Dic11⋊C4C2312yes—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2312yes—
127C2×C4×Dic11C2312yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2312yes—
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2314yes—
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2311yescharacteristic
137C2×C4×Dic11C2314yes—
138#66950C2×C4116yes—
139#66945C2×C4116yes—
140C4⋊C4×D11—24no—
141C4⋊C4×D11Q818yescomplemented
142#66943C2×C4116yescomplemented
143#66940C2×C4116yescomplemented
144#66925—28no—
145C42×D11—44no—
146C42×D11C2×C418yes—
147#66922C2×C418yescomplemented
148C11×#95C2312yes—
149C11×#95C2312yes—
150C11×#95C2314yes—
151C11×#95C2314yes—
152C11⋊#95C2312yes—
153C11⋊#95C2312yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2312yes—
159C11⋊#95C2314yes—
160C11⋊#95C2314yes—
161C11⋊#95C2312yes—
162C11⋊#95C2312yes—
163C11⋊#95C2312yes—
164#34213—111nomaximal, Sylow
165C23×D11C2411yescharacteristic
166C2×Q8×C11—24no—
167C2×Q8×C11—24no—
168C2×Q8×C11C22×C418yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2411yescharacteristic
173C22×C4×C11C2414yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×Dic11C2412yes—
178C22×Dic11C2412yes—
179C22×Dic11C2412yes—
180C22×Dic11C2411yescharacteristic
181C22×Dic11C2414yes—
182C22×Dic11C2411yescharacteristic
183C22×Dic11C2412yes—
184C22×Dic11C2411yescharacteristic
185C2×C4×D11—24no—
186C2×C4×D11—22no—
187C2×C4×D11—22no—
188C2×C4×D11—42no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C2×C4×D11—41no—
192C2×C4×D11—41no—
193C2×C4×D11—42no—
194C2×C4×D11C22×C414yes—
195C2×C4×D11C22×C414yes—
196C2×C4×D11C22×C414yes—
197C2×C4×D11C2×Q818yes—
198C2×C4×D11C2×Q814yes—
199C2×C4×D11#4114yes—
200C2×Dic22—42no—
201C2×Dic22—42no—
202C2×Dic22C22×C418yes—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—44no—
207C11×C4⋊C4C22×C418yes—
208C11×C4⋊C4C22×C418yes—
209C11×C4⋊C4C2×Q814yes—
210C42×C11—24no—
211C42×C11—24no—
212C42×C11—44no—
213C42×C11C22×C414yes—
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—24no—
216(C2×D11)⋊C4C22×C4116yes—
217C4⋊Dic11—22no—
218C4⋊Dic11—22no—
219C4⋊Dic11—22no—
220C4⋊Dic11—44no—
221C4⋊Dic11C22×C418yes—
222C4⋊Dic11C22×C418yes—
223C4⋊Dic11C22×C4116yes—
224C4⋊Dic11C2×Q814yes—
225Dic11⋊C4—24no—
226Dic11⋊C4—24no—
227Dic11⋊C4—24no—
228Dic11⋊C4—42no—
229Dic11⋊C4—44no—
230Dic11⋊C4—42no—
231Dic11⋊C4—44no—
232Dic11⋊C4C22×C4116yes—
233Dic11⋊C4C2×Q818yes—
234C4×Dic11—24no—
235C4×Dic11—24no—
236C4×Dic11—42no—
237C4×Dic11—42no—
238C4×Dic11—44no—
239C4×Dic11—44no—
240C4×Dic11—44no—
241C4×Dic11C22×C414yes—
242C4×Dic11C22×C414yes—
243C4×Dic11C22×C414yes—
244C4×Dic11C22×C4116yes—
245C2×#533—111no—
246#2370—112no—
247#2370—112no—
248#2369—111no—
249#2369—111no—
250#2365—111no—
251#2365D1111yescharacteristic, complemented
252#2355—112no—
253#2355—114no—
254Q8×C4⋊C4—112no—
255#2329—114no—
256#2317—112no—
257C4×C22⋊Q8—112no—
258C4×C22⋊Q8—112no—
259#2285—111no—
260#2274—112no—
261C2×C4×C4⋊C4—111no—
262C23×C11C2511yescharacteristic
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11C23×C412yes—
268C22×D11C22×Q812yes—
269C22×D11C2×#4112yes—
270Q8×C11—216no—
271C2×C4×C11—24no—
272C2×C4×C11—22no—
273C2×C4×C11—24no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
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×#4112yes—
293C2×C4×C11H(5,𝔽2)12yes—
294C2×C4×C112−1+412yes—
295C2×Dic11—22no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—24no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
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×#4112yes—
319C4×D11—28no—
320C4×D11—44no—
321C4×D11—48no—
322C4×D11—48no—
323C4×D11C4×Q8116yescomplemented
324Dic22—48no—
325#533—1116no—
326C2×C4⋊Q8—111no—
327C2×C4⋊Q8C2×D1111yescharacteristic
328C2×#125—112no—
329C2×C22⋊Q8—112no—
330C2×C22⋊Q8—112no—
331C2×C4×Q8—112no—
332C2×C4×Q8—112no—
333C2×C4×Q8—112no—
334C2×C4×Q8C2×D1112yes—
335C2×#117—112no—
336C2×#117—112no—
337C22×C4⋊C4—111no—
338C22×C4⋊C4—111no—
339C22×C42—111no—
340C22×C42—112no—
341#391—112no—
342#391—114no—
343#391—114no—
344#391C2×D1112yes—
345#389—112no—
346#389—112no—
347#389—114no—
348#389—112no—
349#389—112no—
350#389—114no—
351#389—112no—
352#389C2×D1112yes—
353#387—114no—
354#387—114no—
355#387—114no—
356#387—114no—
357#387—114no—
358#387C2×D1114yes—
359#385—114no—
360#385—114no—
361#384—114no—
362#384—111no—
363#384—111no—
364#382—114no—
365#382—112no—
366#380—111no—
367#380—111no—
368#380—112no—
369C4×C4⋊C4—112no—
370C4×C4⋊C4—112no—
371C4×C4⋊C4—112no—
372C4×C4⋊C4—111no—
373C4×C4⋊C4—111no—
374C4×C4⋊C4—112no—
375C4×C4⋊C4—114no—
376C4×C4⋊C4—112no—
377C4×C4⋊C4—114no—
378C4×C4⋊C4—111no—
379C4×C4⋊C4—111no—
380C4×C4⋊C4—112no—
381C4×C4⋊C4—112no—
382C4×C4⋊C4—112no—
383C4×C4⋊C4—114no—
384C4×C4⋊C4—114no—
385C4×C4⋊C4C2×D1111yescharacteristic
386C4×C4⋊C4C2×D1111yescharacteristic
387C4×C4⋊C4C2×D1112yes—
388C4×C22⋊C4—114no—
389C4×C22⋊C4—114no—
390C2×#95—112no—
391C22×C11C24×C411yescharacteristic
392C22×C11C23×Q811yescharacteristic
393C22×C11C22×#4111yescharacteristic
394C22×C11C2×H(5,𝔽2)11yescharacteristic
395C22×C11C2×2−1+411yescharacteristic
396C22×C11#58511yescharacteristic
397C22×C11#58511yescharacteristic
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—22no—
403C2×D11—22no—
404C2×D11C2×C4×Q814yes—
405C4×C11—28no—
406C4×C11—22no—
407C4×C11—24no—
408C4×C11—42no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11C2×C4×Q814yes—
412C4×C11#52014yes—
413Dic11—22no—
414Dic11—28no—
415Dic11—22no—
416Dic11—24no—
417Dic11—42no—
418Dic11—42no—
419Dic11—42no—
420Dic11C2×C4×Q814yes—
421C22×Q8—112no—
422C22×Q8C22×D1112yes—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4—112no—
426C23×C4—111no—
427C23×C4—112no—
428C4⋊Q8—118no—
429C4⋊Q8C4×D1118yescomplemented
430#125—1116no—
431C22⋊Q8—1116no—
432C22⋊Q8—1116no—
433C4×Q8—44no—
434C4×Q8—1116no—
435C4×Q8—1116no—
436C4×Q8—444no—
437#117—1116no—
438#117—228no—
439C2×C4⋊C4—112no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—112no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—114no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—118no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—114no—
453C2×C4⋊C4—112no—
454C2×C4⋊C4—112no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—114no—
457C2×C4⋊C4—224no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1114yes—
462C2×C4⋊C4C22×D1112yes—
463C2×C4⋊C4C22×D1112yes—
464C2×C4⋊C4C22×D1111yescharacteristic
465C2×C22⋊C4—114no—
466C2×C22⋊C4—112no—
467C2×C22⋊C4—112no—
468C2×C42—114no—
469C2×C42—111no—
470C2×C42—111no—
471C2×C42—111no—
472C2×C42—118no—
473C2×C42—112no—
474C2×C42—112no—
475C2×C42—114no—
476C2×C42—114no—
477C2×C42—114no—
478C2×C42—112no—
479C2×C42—112no—
480C2×C42—444no—
481C2×C42C22×D1112yes—
482C2×C42C22×D1112yes—
483C2×C42C22×D1114yes—
484C2×C42C22×D1111yescharacteristic
485#95—112no—
486#95—112no—
487#95—112no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—112no—
492#95—112no—
493#95—112no—
494#95—114no—
495#95—114no—
496#95—114no—
497#95C22×D1112yes—
498#95C22×D1114yes—
499#95C22×D1114yes—
500#95C22×D1112yes—
501C2×C11C22×C4×Q811yescharacteristic
502C2×C11C2×#52011yescharacteristic
503C2×C11#342811yescharacteristic
504C2×C11#350111yescharacteristic
505C2×C11#350211yescharacteristic
506C2×C11#350611yescharacteristic
507C2×C11#350711yescharacteristic
508D11—24no—
509C24—111no—
510C2×Q8—24no—
511C2×Q8—24no—
512C2×Q8—118no—
513C2×Q8—442no—
514C2×Q8—442no—
515C2×Q8C2×C4×D1118yes—
516C22×C4—111no—
517C22×C4—114no—
518C22×C4—114no—
519C22×C4—114no—
520C22×C4—112no—
521C22×C4—111no—
522C22×C4—114no—
523C22×C4—111no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—118no—
527C22×C4—112no—
528C22×C4—112no—
529C22×C4—112no—
530C22×C4—224no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—442no—
534C22×C4—442no—
535C22×C4—442no—
536C22×C4—441no—
537C22×C4—441no—
538C22×C4—442no—
539C22×C4C23×D1112yes—
540C22×C4C23×D1112yes—
541C22×C4C23×D1112yes—
542C22×C4C23×D1111yescharacteristic
543C22×C4C23×D1114yes—
544C22×C4C23×D1112yes—
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—44no—
551C4⋊C4—118no—
552C4⋊C4—1116no—
553C4⋊C4—1116no—
554C4⋊C4—118no—
555C4⋊C4—118no—
556C4⋊C4—114no—
557C4⋊C4—224no—
558C4⋊C4—224no—
559C4⋊C4—224no—
560C4⋊C4—222no—
561C4⋊C4—222no—
562C4⋊C4—222no—
563C4⋊C4—444no—
564C4⋊C4—442no—
565C4⋊C4—442no—
566C4⋊C4—444no—
567C4⋊C4—444no—
568C4⋊C4C2×C4×D1118yes—
569C4⋊C4C2×C4×D1118yes—
570C4⋊C4Q8×D1114yes—
571C22⋊C4—1116no—
572C22⋊C4—224no—
573C22⋊C4—224no—
574C42—24no—
575C42—24no—
576C42—44no—
577C42—114no—
578C42—114no—
579C42—114no—
580C42—1116no—
581C42—224no—
582C42—224no—
583C42—442no—
584C42—442no—
585C42—444no—
586C42—444no—
587C42—444no—
588C42C2×C4×D1114yes—
589C11#3421311yescharacteristic, complemented, Sylow
590C23—112no—
591C23—112no—
592C23—112no—
593C23—221no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23C24×D1111yescharacteristic
598Q8—216no—
599Q8—448no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—112no—
616C2×C4—112no—
617C2×C4—112no—
618C2×C4—1116no—
619C2×C4—112no—
620C2×C4—112no—
621C2×C4—118no—
622C2×C4—114no—
623C2×C4—222no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—222no—
627C2×C4—224no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—224no—
631C2×C4—228no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—448no—
642C2×C4—444no—
643C2×C4—448no—
644C2×C4C22×C4×D1112yes—
645C2×C4C22×C4×D1118yes—
646C2×C4C22×C4×D1112yes—
647C2×C4C22×C4×D1112yes—
648C2×C4#6703712yes—
649C2×C4C2×Q8×D1114yes—
650C2×C4C2×Q8×D1112yes—
651C2×C4#41×D1112yes—
652C2×C4#6704312yes—
653C22—114no—
654C22—222no—
655C22—222no—
656C22—222no—
657C22—222no—
658C22—222no—
659C22—222no—
660C22C23×C4×D1111yescharacteristic
661C22C2×#6703711yescharacteristic
662C22C22×Q8×D1111yescharacteristic
663C22C2×#41×D1111yescharacteristic
664C22C2×#6704311yescharacteristic
665C22#1062345711yescharacteristic
666C22#1062345711yescharacteristic
667C4—24no—
668C4—28no—
669C4—22no—
670C4—42no—
671C4—42no—
672C4—42no—
673C4—114no—
674C4—224no—
675C4—222no—
676C4—222no—
677C4—228no—
678C4—442no—
679C4—442no—
680C4—442no—
681C4#1062307714yes—
682C4C4×Q8×D1114yes—
683C2—224no—
684C2C2×C4×Q8×D1111yescharacteristic
685C2C2×#1062307711yescharacteristic
686C2#1308181811yescharacteristic
687C2#1308241111yescharacteristic
688C2#1308242011yescharacteristic
689C2#1308246611yescharacteristic
690C2#1308247111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2365C2
socle, cosocleC23×C11C25
prime radicalC23×D11C24
hypercenter#2365D11
hypocenterC11#34213
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2365

Complements

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

NH ≅ G/Ntype
2. #13071717C2semidirect
3. #13071708C2semidirect
4. #13071705C2semidirect
5. #13071705C2semidirect
6. #13071676C2semidirect
7. #13071572C2semidirect
8. #13071570C2semidirect
9. Q8×Dic11⋊C4C2semidirect
17. C11×#2365C2semidirect
23. #10623259C4semidirect
91. C11×C4⋊Q8C2×C4semidirect
106. Q8×Dic11C2×C4semidirect
141. C4⋊C4×D11Q8semidirect
142. #66943C2×C4semidirect
143. #66940C2×C4semidirect
147. #66922C2×C4semidirect
251. #2365D11semidirect
323. C4×D11C4×Q8semidirect
429. C4⋊Q8C4×D11semidirect
589. C11#34213semidirect

Maximal subgroups

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

subgroupindex
C2×#106232592
#130717172
#130717082
#130717052
#130716762
#130715722
#130715702
Q8×Dic11⋊C42
#130713452
#130712382
#130711542
C4×#669992
#130710202
#130709702
C4×C4⋊C4×D112
C11×#23652
#3421311