Finite Group Databasebeta

← #14926422

Subgroups — #14926422

Order 2816.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623046C211yesmaximal, characteristic, complemented
2#13076908C212yesmaximal, complemented
3#13076903C211yesmaximal, characteristic, complemented
4#13076898C211yesmaximal, characteristic
5#13074429C211yesmaximal, characteristic, complemented
6#13074396C212yesmaximal, complemented
7#13074358C211yesmaximal, characteristic, complemented
8#13072871C214yesmaximal, complemented
9#13072751C214yesmaximal, complemented
10#13072425C214yesmaximal, complemented
11#13072351C214yesmaximal, complemented
12#13071285C212yesmaximal, complemented
13#13071219C211yesmaximal, characteristic, complemented
14C4×#67006C212yesmaximal, complemented
15C23×C11×C4⋊C4C211yesmaximal, characteristic, complemented
16C24×C4×C11C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C24×C4×C11C2211yescharacteristic
19C22×C11×C4⋊C4—28no—
20C22×C11×C4⋊C4C2214yes—
21C22×C11×C4⋊C4C2214yes—
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C11×C4⋊C4C2211yescharacteristic
25C22×C11×C4⋊C4C2211yescharacteristic
26C2×#67006C2212yes—
27C2×#66983C2211yescharacteristic
28C2×#66983C2212yes—
29C2×#66982C2212yes—
30C2×#66982C2212yes—
31C2×C4×C22⋊D11C2212yes—
32C2×C4×C22⋊D11C2214yes—
33C2×#66977C2211yescharacteristic
34C2×#66977C2212yes—
35#10623046—28no—
36C2×#66951C2212yescomplemented
37C2×#66949C2212yescomplemented
38C2×#66947C2212yescomplemented
39C2×#66942C2212yescomplemented
40#10622860C2212yes—
41#10622826C2212yes—
42#10622826C2214yes—
43#10622826C2214yes—
44#10622826C2214yes—
45#10622826C2212yes—
46#10622826C2214yes—
47#10622825C2212yes—
48#10622825C2211yescharacteristic
49#10622825C2211yescharacteristic
50#10622825C2212yes—
51#10622824C2212yes—
52#10622824C2212yes—
53#10622823C2214yes—
54#10622823C2212yes—
55#10622823C2214yes—
56#10622823C2214yes—
57#10622823C2214yes—
58#10622823C2212yes—
59C4×C22⋊Dic11C2214yes—
60C4×C22⋊Dic11C2212yes—
61#10622607C2214yescomplemented
62#10622606C2214yescomplemented
63#10622605C2214yescomplemented
64#10622604C2212yescomplemented
65#10622603C2214yescomplemented
66#10622602C2214yescomplemented
67#10622599C2212yescomplemented
68#10622597C2214yescomplemented
69#10622596C2212yescomplemented
70#10622595C2214yescomplemented
71#10622594C2214yescomplemented
72#10622594C2214yescomplemented
73#10622593C2214yescomplemented
74#10622592C2212yescomplemented
75#10622591C2214yescomplemented
76#10622585C2214yescomplemented
77C25×C11C2311yescharacteristic
78C23×C4×C11—24no—
79C23×C4×C11—24no—
80C23×C4×C11—24no—
81C23×C4×C11—24no—
82C23×C4×C11—24no—
83C23×C4×C11—44no—
84C23×C4×C11—44no—
85C23×C4×C11C2314yes—
86C23×C4×C11C2312yes—
87C23×C4×C11C2314yes—
88C23×C4×C11C2312yes—
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2311yescharacteristic
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2311yescharacteristic
93C23×C4×C11C2311yescharacteristic
94C23×C4×C11C2311yescharacteristic
95C22×C22⋊D11C2312yes—
96C22×C22⋊D11C2314yes—
97C22×D44C2311yescharacteristic
98C22×C4×D11C2312yes—
99C22×Dic22C2311yescharacteristic
100C2×C11×C4⋊C4—24no—
101C2×C11×C4⋊C4—24no—
102C2×C11×C4⋊C4—24no—
103C2×C11×C4⋊C4—216no—
104C2×C11×C4⋊C4—216no—
105C2×C11×C4⋊C4D418yescomplemented
106C2×C11×C4⋊C4C2314yes—
107C2×C11×C4⋊C4C2312yes—
108C2×C11×C4⋊C4C2314yes—
109C2×C11×C4⋊C4C2312yes—
110C2×C11×C4⋊C4C2312yes—
111C2×C11×C4⋊C4C2312yes—
112#67006—28no—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2314yes—
115C2×C22⋊Dic11C2312yes—
116C2×C22⋊Dic11C2314yes—
117C2×C22⋊Dic11C2314yes—
118C2×C22⋊Dic11C2312yes—
119#66983—24no—
120#66983—44no—
121#66982—28no—
122#66982—28no—
123C4×C22⋊D11—28no—
124C4×C22⋊D11—48no—
125C2×(C2×D11)⋊C4C2312yes—
126C2×(C2×D11)⋊C4C2312yes—
127C2×(C2×D11)⋊C4C2312yes—
128C2×(C2×D11)⋊C4C2312yes—
129C2×(C2×D11)⋊C4C2314yes—
130C2×(C2×D11)⋊C4C2314yes—
131C2×(C2×D11)⋊C4C2314yes—
132C2×C4⋊Dic11C2311yescharacteristic
133C2×C4⋊Dic11C2311yescharacteristic
134C2×C4⋊Dic11C2312yes—
135C2×C4⋊Dic11C2312yes—
136#66977—24no—
137#66977—44no—
138C2×Dic11⋊C4C2312yes—
139C2×Dic11⋊C4C2312yes—
140C2×Dic11⋊C4C2312yes—
141C2×Dic11⋊C4C2312yes—
142C2×Dic11⋊C4C2314yes—
143C2×Dic11⋊C4C2314yes—
144C2×Dic11⋊C4C2314yes—
145C2×C4×Dic11C2312yes—
146C2×C4×Dic11C2314yes—
147#66951—28no—
148#66949—28no—
149#66947—28no—
150#66942—28no—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2314yes—
161C11⋊#95C2312yes—
162#34989—111nomaximal, Sylow
163C24×C11—22no—
164C24×C11—22no—
165C24×C11—24no—
166C24×C11—24no—
167C24×C11#4114yes—
168C24×C11C2411yescharacteristic
169C24×C11C2412yes—
170C23×D11C2412yes—
171C22×C4×C11—232no—
172C22×C4×C11—22no—
173C22×C4×C11—28no—
174C22×C4×C11—22no—
175C22×C4×C11—22no—
176C22×C4×C11—22no—
177C22×C4×C11—28no—
178C22×C4×C11—28no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—24no—
182C22×C4×C11—28no—
183C22×C4×C11—24no—
184C22×C4×C11—28no—
185C22×C4×C11—24no—
186C22×C4×C11—24no—
187C22×C4×C11—42no—
188C22×C4×C11—44no—
189C22×C4×C11—42no—
190C22×C4×C11—42no—
191C22×C4×C11—42no—
192C22×C4×C11—42no—
193C22×C4×C11—42no—
194C22×C4×C11—416no—
195C22×C4×C11—416no—
196C22×C4×C11C2×D414yes—
197C22×C4×C11C2×D414yes—
198C22×C4×C11C2×D414yes—
199C22×C4×C11#4114yes—
200C22×C4×C11C2412yes—
201C22×C4×C11C2412yes—
202C22×C4×C11C2412yes—
203C22×C4×C11C2412yes—
204C22×C4×C11C2411yescharacteristic
205C22×C4×C11C2411yescharacteristic
206C22×C4×C11C2412yes—
207C2×C22⋊D11—24no—
208C2×C22⋊D11—24no—
209C2×C22⋊D11—24no—
210C2×C22⋊D11—28no—
211C2×C22⋊D11—28no—
212C2×C22⋊D11—28no—
213C22×Dic11C2414yes—
214C22×Dic11C2412yes—
215C22×Dic11C2414yes—
216C22×Dic11C2412yes—
217C22×Dic11C2412yes—
218C2×D44—22no—
219C2×D44—42no—
220C2×C4×D11—24no—
221C2×C4×D11—44no—
222C2×Dic22—22no—
223C2×Dic22—42no—
224C11×C4⋊C4—28no—
225C11×C4⋊C4—24no—
226C11×C4⋊C4—24no—
227C11×C4⋊C4—28no—
228C11×C4⋊C4C2×D418yes—
229C11×C4⋊C4C2×D418yes—
230C22⋊Dic11—24no—
231C22⋊Dic11—24no—
232C22⋊Dic11—24no—
233C22⋊Dic11—28no—
234C22⋊Dic11—28no—
235C22⋊Dic11—28no—
236(C2×D11)⋊C4—24no—
237(C2×D11)⋊C4—24no—
238(C2×D11)⋊C4—24no—
239(C2×D11)⋊C4—24no—
240(C2×D11)⋊C4—28no—
241(C2×D11)⋊C4—44no—
242(C2×D11)⋊C4—44no—
243C4⋊Dic11—22no—
244C4⋊Dic11—22no—
245C4⋊Dic11—42no—
246C4⋊Dic11—42no—
247Dic11⋊C4—24no—
248Dic11⋊C4—24no—
249Dic11⋊C4—24no—
250Dic11⋊C4—24no—
251Dic11⋊C4—28no—
252Dic11⋊C4—44no—
253Dic11⋊C4—44no—
254C4×Dic11—24no—
255C4×Dic11—44no—
256C2×#539—111no—
257C23×C4⋊C4D1111yescharacteristic, complemented
258#2849—112no—
259#2848—111no—
260#2847—111no—
261#2627—111no—
262#2623—112no—
263#2618—111no—
264#2481—114no—
265#2473—114no—
266#2449—114no—
267#2443—114no—
268#2322—112no—
269#2313—111no—
270C4×#120—112no—
271C23×C11—28no—
272C23×C11—28no—
273C23×C11—216no—
274C23×C11—28no—
275C23×C11—216no—
276C23×C11—22no—
277C23×C11—22no—
278C23×C11—22no—
279C23×C11—22no—
280C23×C11—22no—
281C23×C11—22no—
282C23×C11C22×D412yes—
283C23×C11C2×#4112yes—
284C23×C11C2×#4112yes—
285C23×C11C2×#4114yes—
286C23×C11H(5,𝔽2)14yes—
287C23×C112−1+414yes—
288C23×C11C2511yescharacteristic
289C22×D11—22no—
290C22×D11—22no—
291C22×D11—22no—
292C22×D11—24no—
293C22×D11—24no—
294C2×C4×C11—232no—
295C2×C4×C11—28no—
296C2×C4×C11—28no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—22no—
301C2×C4×C11—24no—
302C2×C4×C11—22no—
303C2×C4×C11—22no—
304C2×C4×C11—22no—
305C2×C4×C11—22no—
306C2×C4×C11—22no—
307C2×C4×C11—24no—
308C2×C4×C11—22no—
309C2×C4×C11—44no—
310C2×C4×C11—44no—
311C2×C4×C11—48no—
312C2×C4×C11—416no—
313C2×C4×C11—48no—
314C2×C4×C11—44no—
315C2×C4×C11—44no—
316C2×C4×C11C22×D414yes—
317C2×C4×C11C22×D412yes—
318C2×C4×C11C22×D414yes—
319C2×C4×C11C22×D412yes—
320C2×C4×C11C2×#4114yes—
321C22⋊D11—48no—
322C22⋊D11—416no—
323C2×Dic11—22no—
324C2×Dic11—22no—
325C2×Dic11—22no—
326C2×Dic11—22no—
327C2×Dic11—24no—
328C2×Dic11—22no—
329C2×Dic11—24no—
330C2×Dic11—24no—
331C2×Dic11—24no—
332C2×Dic11—24no—
333C2×Dic11—24no—
334C2×Dic11—24no—
335C2×Dic11—24no—
336D44—82no—
337C4×D11—84no—
338Dic22—82no—
339C24×C4C2×D1111yescharacteristic
340C24×C4C2×D1111yescharacteristic
341C24×C4C2×D1111yescharacteristic
342#539—228no—
343C2×#126—112no—
344C2×#125—112no—
345C2×#123—112no—
346C2×#123—112no—
347C2×#123—112no—
348C2×C22⋊Q8—111no—
349C2×C22⋊Q8—112no—
350C2×C22⋊Q8—112no—
351C2×#121—111no—
352C2×#121—112no—
353C2×#120—112no—
354C2×C4×D4—112no—
355C2×C4×D4—114no—
356C22×C4⋊C4—28no—
357C22×C4⋊C4C2×D1111yescharacteristic
358C22×C4⋊C4C2×D1111yescharacteristic
359C22×C4⋊C4C2×D1111yescharacteristic
360C22×C4⋊C4C2×D1114yes—
361C22×C4⋊C4C2×D1114yes—
362C22×C4⋊C4C2×D1111yescharacteristic
363#400—114no—
364#400—112no—
365#399—114no—
366#398—112no—
367#398—114no—
368#398—114no—
369#397—114no—
370#396—114no—
371#395—112no—
372#394—112no—
373#389—114no—
374#388—114no—
375#387—114no—
376#387—114no—
377#387—114no—
378#386—112no—
379#386—114no—
380#386—114no—
381#386—114no—
382#386—112no—
383#386—114no—
384#385—112no—
385#385—114no—
386#385—114no—
387#385—114no—
388#385—112no—
389#385—114no—
390#385—114no—
391#381—112no—
392#381—112no—
393#380—111no—
394#380—111no—
395#380—112no—
396#380—112no—
397#379—112no—
398C4×C22⋊C4—112no—
399C4×C22⋊C4—114no—
400C22×C11—232no—
401C22×C11—24no—
402C22×C11—24no—
403C22×C11—24no—
404C22×C11—22no—
405C22×C11—24no—
406C22×C11—22no—
407C22×C11—24no—
408C22×C11—24no—
409C22×C11—24no—
410C22×C11—24no—
411C22×C11#52514yes—
412C22×C11#53918yescomplemented
413C22×C11C23×D411yescharacteristic
414C22×C11C22×#4111yescharacteristic
415C22×C11C22×#4111yescharacteristic
416C22×C11C2×H(5,𝔽2)12yes—
417C22×C11C2×2−1+412yes—
418C2×D11—42no—
419C2×D11—44no—
420C2×D11—42no—
421C2×D11—42no—
422C2×D11—44no—
423C4×C11—24no—
424C4×C11—24no—
425C4×C11—22no—
426C4×C11—24no—
427C4×C11—22no—
428C4×C11—42no—
429C4×C11—42no—
430Dic11—42no—
431Dic11—44no—
432Dic11—42no—
433Dic11—42no—
434Dic11—44no—
435C25C22×D1111yescharacteristic
436C22×Q8—111no—
437C22×D4—112no—
438C22×D4—114no—
439C22×D4—111no—
440C23×C4—24no—
441C23×C4—24no—
442C23×C4—24no—
443C23×C4—24no—
444C23×C4—24no—
445C23×C4—44no—
446C23×C4—44no—
447C23×C4—112no—
448C23×C4C22×D1114yes—
449C23×C4C22×D1114yes—
450C23×C4C22×D1112yes—
451C23×C4C22×D1112yes—
452C23×C4C22×D1111yescharacteristic
453C23×C4C22×D1111yescharacteristic
454C23×C4C22×D1111yescharacteristic
455C23×C4C22×D1111yescharacteristic
456C23×C4C22×D1111yescharacteristic
457C23×C4C22×D1111yescharacteristic
458#126—228no—
459#125—228no—
460#123—228no—
461#123—228no—
462#123—228no—
463C22⋊Q8—224no—
464C22⋊Q8—228no—
465C22⋊Q8—444no—
466#121—224no—
467#121—444no—
468#120—228no—
469C4×D4—228no—
470C4×D4—448no—
471C2×C4⋊C4—24no—
472C2×C4⋊C4—24no—
473C2×C4⋊C4—24no—
474C2×C4⋊C4—216no—
475C2×C4⋊C4—216no—
476C2×C4⋊C4—112no—
477C2×C4⋊C4—111no—
478C2×C4⋊C4—112no—
479C2×C4⋊C4—112no—
480C2×C4⋊C4—111no—
481C2×C4⋊C4—112no—
482C2×C4⋊C4—114no—
483C2×C4⋊C4—114no—
484C2×C4⋊C4—112no—
485C2×C4⋊C4—112no—
486C2×C4⋊C4—114no—
487C2×C4⋊C4C22⋊D1118yescomplemented
488C2×C4⋊C4C22×D1114yes—
489C2×C4⋊C4C22×D1112yes—
490C2×C4⋊C4C22×D1112yes—
491C2×C4⋊C4C22×D1114yes—
492C2×C4⋊C4C22×D1112yes—
493C2×C4⋊C4C22×D1112yes—
494C2×C22⋊C4—112no—
495C2×C22⋊C4—114no—
496C2×C22⋊C4—112no—
497C2×C22⋊C4—114no—
498C2×C22⋊C4—112no—
499C2×C22⋊C4—114no—
500C2×C22⋊C4—112no—
501C2×C22⋊C4—112no—
502C2×C22⋊C4—112no—
503C2×C22⋊C4—112no—
504C2×C22⋊C4—114no—
505C2×C22⋊C4—114no—
506C2×C22⋊C4—114no—
507C2×C42—112no—
508C2×C42—114no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95—112no—
513#95—114no—
514#95—112no—
515#95—114no—
516#95—114no—
517#95—114no—
518#95—114no—
519#95—114no—
520C2×C11—24no—
521C2×C11—28no—
522C2×C11C2×#52511yescharacteristic
523C2×C11C2×#53912yes—
524C2×C11#348411yescharacteristic
525C2×C11#348611yescharacteristic
526C2×C11#349212yes—
527D11—82no—
528C24—22no—
529C24—24no—
530C24—24no—
531C24—22no—
532C24—112no—
533C24#433914yes—
534C24C23×D1111yescharacteristic
535C24C23×D1112yes—
536C2×Q8—222no—
537C2×Q8—442no—
538C2×D4—228no—
539C2×D4—224no—
540C2×D4—224no—
541C2×D4—228no—
542C2×D4—228no—
543C2×D4—224no—
544C2×D4—222no—
545C2×D4—442no—
546C22×C4—232no—
547C22×C4—28no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—28no—
553C22×C4—28no—
554C22×C4—28no—
555C22×C4—24no—
556C22×C4—24no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—28no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—42no—
563C22×C4—44no—
564C22×C4—42no—
565C22×C4—42no—
566C22×C4—42no—
567C22×C4—42no—
568C22×C4—42no—
569C22×C4—416no—
570C22×C4—416no—
571C22×C4—114no—
572C22×C4—114no—
573C22×C4—112no—
574C22×C4—112no—
575C22×C4—112no—
576C22×C4—224no—
577C22×C4—444no—
578C22×C4#433914yes—
579C22×C4C2×C22⋊D1114yes—
580C22×C4C2×C22⋊D1114yes—
581C22×C4C2×C22⋊D1114yes—
582C22×C4C23×D1112yes—
583C22×C4C23×D1112yes—
584C22×C4C23×D1112yes—
585C22×C4C23×D1112yes—
586C22×C4C23×D1112yes—
587C22×C4C23×D1111yescharacteristic
588C22×C4C23×D1111yescharacteristic
589C4⋊C4—28no—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—28no—
593C4⋊C4—228no—
594C4⋊C4—224no—
595C4⋊C4—222no—
596C4⋊C4—224no—
597C4⋊C4—224no—
598C4⋊C4—222no—
599C4⋊C4—224no—
600C4⋊C4—444no—
601C4⋊C4—442no—
602C4⋊C4—444no—
603C4⋊C4—442no—
604C4⋊C4C2×C22⋊D1118yes—
605C4⋊C4C2×C22⋊D1118yes—
606C22⋊C4—228no—
607C22⋊C4—224no—
608C22⋊C4—224no—
609C22⋊C4—228no—
610C22⋊C4—228no—
611C22⋊C4—224no—
612C22⋊C4—228no—
613C22⋊C4—224no—
614C22⋊C4—224no—
615C22⋊C4—224no—
616C22⋊C4—224no—
617C22⋊C4—444no—
618C22⋊C4—444no—
619C42—224no—
620C42—444no—
621C11#3498911yescharacteristic, complemented, Sylow
622C23—28no—
623C23—28no—
624C23—216no—
625C23—216no—
626C23—28no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—222no—
634C23—222no—
635C23—224no—
636C23—224no—
637C23—222no—
638C23C2×#433914yes—
639C23C2×#433912yes—
640C23C2×#433912yes—
641C23#6703714yes—
642C23#6704014yes—
643C23C22×C22⋊D1112yes—
644C23C24×D1111yescharacteristic
645Q8—882no—
646D4—4416no—
647D4—448no—
648D4—882no—
649C2×C4—232no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—416no—
667C2×C4—48no—
668C2×C4—48no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—224no—
672C2×C4—222no—
673C2×C4—224no—
674C2×C4—222no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—224no—
680C2×C4—224no—
681C2×C4—222no—
682C2×C4—222no—
683C2×C4—222no—
684C2×C4—884no—
685C2×C4C2×#433914yes—
686C2×C4C22×C22⋊D1114yes—
687C2×C4C22×C22⋊D1114yes—
688C2×C4C22×C22⋊D1112yes—
689C2×C4C22×C22⋊D1112yes—
690C22—232no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22—22no—
696C22—24no—
697C22—22no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—442no—
702C22—444no—
703C22—442no—
704C22—442no—
705C22—444no—
706C22#1062304618yescomplemented
707C22#1062332214yes—
708C22C22×#433911yescharacteristic
709C22C22×#433911yescharacteristic
710C22C2×#6703712yes—
711C22C2×#6704012yes—
712C22C23×C22⋊D1111yescharacteristic
713C4—24no—
714C4—24no—
715C4—24no—
716C4—22no—
717C4—22no—
718C4—42no—
719C4—42no—
720C4—442no—
721C4—444no—
722C4—442no—
723C4—442no—
724C4—444no—
725C2—28no—
726C2—24no—
727C2—882no—
728C2C2×#1062332211yescharacteristic
729C2C2×#1062304612yes—
730C2#1308225111yescharacteristic
731C2#1308226711yescharacteristic
732C2#1308232512yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC23×C11×C4⋊C4C2
prime radical#13076898C2
hypercenterC23×C4⋊C4D11
hypocenterC11#34989
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#10623046C2semidirect
2. #13076908C2semidirect
3. #13076903C2semidirect
5. #13074429C2semidirect
6. #13074396C2semidirect
7. #13074358C2semidirect
8. #13072871C2semidirect
9. #13072751C2semidirect
10. #13072425C2semidirect
11. #13072351C2semidirect
12. #13071285C2semidirect
13. #13071219C2semidirect
14. C4×#67006C2semidirect
15. C23×C11×C4⋊C4C2semidirect
36. C2×#66951C22semidirect
37. C2×#66949C22semidirect
38. C2×#66947C22semidirect
39. C2×#66942C22semidirect
61. #10622607C22semidirect
62. #10622606C22semidirect
63. #10622605C22semidirect
64. #10622604C22semidirect
65. #10622603C22semidirect
66. #10622602C22semidirect
67. #10622599C22semidirect
68. #10622597C22semidirect
69. #10622596C22semidirect
70. #10622595C22semidirect
71. #10622594C22semidirect
72. #10622594C22semidirect
73. #10622593C22semidirect
74. #10622592C22semidirect
75. #10622591C22semidirect
76. #10622585C22semidirect
105. C2×C11×C4⋊C4D4semidirect
257. C23×C4⋊C4D11semidirect
412. C22×C11#539semidirect
487. C2×C4⋊C4C22⋊D11semidirect
621. C11#34989semidirect
706. C22#10623046semidirect

Maximal subgroups

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

subgroupindex
C2×#106230462
#130769082
#130769032
#130768982
#130744292
#130743962
#130743582
#130728712
#130727512
#130724252
#130723512
#130712852
#130712192
C4×#670062
C23×C11×C4⋊C42
#3498911