Finite Group Databasebeta

← #14925564

Subgroups — #14925564

Order 2816.

2308 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623153C212yesmaximal, complemented
2#13073693C214yesmaximal, complemented
3#13073645C211yesmaximal, characteristic, complemented
4#13073601C211yesmaximal, characteristic, complemented
5#13073569C211yesmaximal, characteristic
6#13073130C212yesmaximal, complemented
7#13072986C212yesmaximal, complemented
8#13072469C212yesmaximal
9#13072217C212yesmaximal, complemented
10#13071891C214yesmaximal, complemented
11#13071187C212yesmaximal, complemented
12#13071183C211yesmaximal, characteristic, complemented
13#13071144C212yesmaximal, complemented
14#13071078C212yesmaximal
15C4×Q8×Dic11C211yesmaximal, characteristic, complemented
16C4×D4×Dic11C211yesmaximal, characteristic
17C11×#2538C211yesmaximal, characteristic
18C2×C11×C22⋊Q8C2212yes—
19C2×C4×Q8×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C2×Q8×Dic11C2211yescharacteristic
22C2×Q8×Dic11C2211yescharacteristic
23C2×#66997C2212yes—
24C2×D4×Dic11C2211yescharacteristic
25C2×D4×Dic11C2211yescharacteristic
26C2×#66977C2212yes—
27C2×#66977C2212yes—
28C22×C4×Dic11C2212yes—
29#10623153—216no—
30C2×#66942C2214yes—
31C2×#66941C2212yes—
32C2×#66941C2212yes—
33C2×#66940C2214yes—
34C2×#66940C2212yes—
35C2×#66931C2214yes—
36C2×#66930C2214yes—
37C2×#66922C2211yescharacteristic
38C11×#396C2214yes—
39C11×#390C2212yes—
40C11×#389C2212yes—
41C11×#384C2211yescharacteristic
42C11×#380C2212yes—
43#10622834C2212yes—
44C4×C22⋊Dic11C2212yes—
45#10622597C2214yes—
46#10622596C2214yes—
47#10622592C2214yes—
48#10622589C2212yes—
49C4⋊C4×Dic11C2212yes—
50C4⋊C4×Dic11C2212yes—
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2211yescharacteristic
53C4⋊C4×Dic11C2212yes—
54C4⋊C4×Dic11C2211yescharacteristic
55C4⋊C4×Dic11C2211yescharacteristic
56C4⋊C4×Dic11C2211yescharacteristic
57#10622587C2212yes—
58#10622587C2212yes—
59#10622586C2212yes—
60#10622586C2212yes—
61#10622586C2212yes—
62#10622586C2212yes—
63#10622585C2214yes—
64#10622562C2214yes—
65#10622561C2214yes—
66#10622560C2214yes—
67#10622559C2214yes—
68#10622558C2214yes—
69#10622557C2214yes—
70C22⋊C4×Dic11C2212yes—
71C22⋊C4×Dic11C2214yes—
72C22⋊C4×Dic11C2212yes—
73C4×C4⋊Dic11C2212yes—
74C4×C4⋊Dic11C2211yescharacteristic
75C4×C4⋊Dic11C2211yescharacteristic
76C42×Dic11C2211yescharacteristic
77C42×Dic11C2212yes—
78#10622541C2212yes—
79#10622541C2212yes—
80#10622271C2214yes—
81#10622265C2214yes—
82#10622262C2214yes—
83#10622259C2214yes—
84C22×Q8×C11C2311yescharacteristic
85C22×D4×C11C2311yescharacteristic
86C23×C4×C11C2312yes—
87C23×Dic11C2312yes—
88C23×Dic11C2312yes—
89C22×Dic22C2312yes—
90C22×Dic22C2314yes—
91C11×C22⋊Q8—28no—
92C4×Q8×C11—24no—
93C4×D4×C11—24no—
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2314yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C4⋊C4C2312yes—
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C22⋊C4C2314yes—
102C2×C11×C22⋊C4C2312yes—
103C2×C11×C22⋊C4C2314yes—
104C2×C42×C11C2312yes—
105C2×C42×C11C2311yescharacteristic
106C2×C22⋊Dic11C2314yes—
107C2×C22⋊Dic11C2314yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110Q8×Dic11—24no—
111Q8×Dic11D418yescomplemented
112#66997—28no—
113D4×Dic11—24no—
114D4×Dic11Q818yescomplemented
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2312yes—
118C2×C4⋊Dic11C2312yes—
119C2×C4⋊Dic11C2311yescharacteristic
120C2×C4⋊Dic11C2311yescharacteristic
121C2×C4⋊Dic11C2311yescharacteristic
122C2×C4⋊Dic11C2311yescharacteristic
123#66977—28no—
124#66977—28no—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2314yes—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2314yes—
130C2×Dic11⋊C4C2314yes—
131C2×Dic11⋊C4C2314yes—
132C2×C4×Dic11—28no—
133C2×C4×Dic11C2314yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2312yes—
139C2×C4×Dic11C2311yescharacteristic
140C2×C4×Dic11C2311yescharacteristic
141C2×C4×Dic11C2312yes—
142C2×C4×Dic11C2311yescharacteristic
143C2×C4×Dic11C2312yes—
144C2×C4×Dic11C2311yescharacteristic
145C2×C4×Dic11C2312yes—
146C2×C4×Dic11C2311yescharacteristic
147C2×C4×Dic11C2311yescharacteristic
148#66942—216no—
149#66941—28no—
150#66941—28no—
151#66940—28no—
152#66940—216no—
153#66931—216no—
154#66930—216no—
155#66922—24no—
156C11×#95C2314yes—
157C11⋊#95C2312yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2312yes—
164C11⋊#95C2312yes—
165C11⋊#95C2314yes—
166C11⋊#95C2312yes—
167C11⋊#95C2312yes—
168#34929—111nomaximal, Sylow
169C24×C11C2412yes—
170C2×Q8×C11—22no—
171C2×Q8×C11—22no—
172C2×Q8×C11C2×D414yes—
173C2×D4×C11—22no—
174C2×D4×C11—22no—
175C2×D4×C11C2×Q814yes—
176C22×C4×C11—24no—
177C22×C4×C11—24no—
178C22×C4×C11—24no—
179C22×C4×C11C2412yes—
180C22×C4×C11C2414yes—
181C22×C4×C11C2412yes—
182C22×C4×C11C2412yes—
183C22×C4×C11C2411yescharacteristic
184C22×C4×C11C2411yescharacteristic
185C22×C4×C11C2411yescharacteristic
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11—24no—
190C22×Dic11—42no—
191C22×Dic11C2×Q818yes—
192C22×Dic11C2411yescharacteristic
193C22×Dic11C2414yes—
194C22×Dic11C2411yescharacteristic
195C22×Dic11C2412yes—
196C22×Dic11C2411yescharacteristic
197C22×Dic11C2412yes—
198C22×Dic11C2412yes—
199C22×Dic11C2412yes—
200C22×Dic11C2411yescharacteristic
201C2×Dic22—28no—
202C2×Dic22—28no—
203C2×Dic22—24no—
204C2×Dic22—24no—
205C2×Dic22—24no—
206C2×Dic22—44no—
207C11×C4⋊C4—24no—
208C11×C4⋊C4—28no—
209C11×C4⋊C4—24no—
210C11×C4⋊C4—22no—
211C11×C4⋊C4—24no—
212C11×C4⋊C4—22no—
213C11×C4⋊C4—42no—
214C11×C22⋊C4—28no—
215C11×C22⋊C4—24no—
216C11×C22⋊C4—44no—
217C42×C11—24no—
218C42×C11#4114yes—
219C22⋊Dic11—28no—
220C22⋊Dic11—28no—
221C22⋊Dic11—24no—
222C22⋊Dic11C2×Q818yes—
223C4⋊Dic11—24no—
224C4⋊Dic11—24no—
225C4⋊Dic11—24no—
226C4⋊Dic11C2×D418yes—
227C4⋊Dic11C2×D414yes—
228C4⋊Dic11C2×Q814yes—
229C4⋊Dic11#4114yes—
230C4⋊Dic11#4114yes—
231Dic11⋊C4—28no—
232Dic11⋊C4—28no—
233Dic11⋊C4—28no—
234Dic11⋊C4—28no—
235Dic11⋊C4—28no—
236Dic11⋊C4—28no—
237Dic11⋊C4—28no—
238C4×Dic11—28no—
239C4×Dic11—24no—
240C4×Dic11—24no—
241C4×Dic11—24no—
242C4×Dic11—22no—
243C4×Dic11—24no—
244C4×Dic11—24no—
245C4×Dic11—24no—
246C4×Dic11—22no—
247C4×Dic11—22no—
248C4×Dic11—41no—
249C4×Dic11—42no—
250C4×Dic11C2×D418yes—
251C4×Dic11C2×D414yes—
252C4×Dic11C2×Q814yes—
253C2×#533—112no—
254#2556—114no—
255#2551—111no—
256#2546—111no—
257#2542—111no—
258#2538D1111yescharacteristic
259#2506—112no—
260#2492—112no—
261#2452—112no—
262#2429—112no—
263#2396—114no—
264C4×C4⋊Q8—112no—
265C4×C4⋊Q8—111no—
266C4×C22⋊Q8—112no—
267#2293—112no—
268C42×Q8—111no—
269C42×D4—111no—
270C23×C11—22no—
271C23×C11—22no—
272C23×C11—22no—
273C23×C11—22no—
274C23×C11—22no—
275C23×C11—22no—
276C23×C11C22×Q814yes—
277C23×C11C2511yescharacteristic
278Q8×C11—28no—
279D4×C11—28no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—24no—
293C2×C4×C11—48no—
294C2×C4×C11C22×D414yes—
295C2×C4×C11C22×D412yes—
296C2×C4×C11C22×Q812yes—
297C2×C4×C11C2×#4112yes—
298C2×C4×C11C2×#4112yes—
299C2×C4×C11C2×#4112yes—
300C2×C4×C11C2×#4112yes—
301C2×C4×C11C2×#4112yes—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—21no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—21no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—21no—
311C2×Dic11—22no—
312C2×Dic11—21no—
313C2×Dic11—22no—
314C2×Dic11—216no—
315C2×Dic11—24no—
316C2×Dic11—21no—
317C2×Dic11—21no—
318C2×Dic11—24no—
319C2×Dic11—24no—
320C2×Dic11—21no—
321C2×Dic11—48no—
322C2×Dic11C22×D412yes—
323C2×Dic11C22×D414yes—
324C2×Dic11C22×D412yes—
325C2×Dic11C22×Q812yes—
326C2×Dic11C22×Q814yes—
327C2×Dic11C22×Q812yes—
328C2×Dic11C2×#4114yes—
329C2×Dic11C2×#4114yes—
330C2×Dic112−1+412yes—
331Dic22—416no—
332Dic22—48no—
333#533—2216no—
334C2×C4⋊Q8—112no—
335C2×C4⋊Q8—112no—
336C2×C4⋊Q8—112no—
337C2×C4⋊Q8—111no—
338C2×#125—114no—
339C2×C22⋊Q8—112no—
340C2×C22⋊Q8—112no—
341C2×C22⋊Q8—114no—
342C2×C22⋊Q8C2×D1112yes—
343C2×C4×Q8—111no—
344C2×C4×Q8—111no—
345C2×C4×Q8—114no—
346C2×C4×Q8—112no—
347C2×C4×Q8C2×D1111yescharacteristic
348C2×C4×D4—111no—
349C2×C4×D4—111no—
350C2×C4×D4C2×D1111yescharacteristic
351C2×#117—114no—
352C22×C42—112no—
353#400—114no—
354#399—114no—
355#398—114no—
356#398—114no—
357#396—114no—
358#396C2×D1114yes—
359#395—114no—
360#393—114no—
361#391—112no—
362#391—112no—
363#391—114no—
364#390—112no—
365#390C2×D1112yes—
366#389—114no—
367#389—112no—
368#389—112no—
369#389—112no—
370#389—112no—
371#389—112no—
372#389—112no—
373#389C2×D1112yes—
374#388—114no—
375#388—114no—
376#387—114no—
377#385—114no—
378#384—112no—
379#384C2×D1111yescharacteristic
380#380C2×D1112yes—
381C4×C4⋊C4—111no—
382C4×C4⋊C4—112no—
383C4×C4⋊C4—112no—
384C4×C4⋊C4—112no—
385C4×C4⋊C4—111no—
386C4×C4⋊C4—111no—
387C4×C4⋊C4—112no—
388C4×C4⋊C4—111no—
389C4×C4⋊C4—112no—
390C4×C4⋊C4—111no—
391C4×C4⋊C4—111no—
392C4×C4⋊C4—114no—
393C4×C22⋊C4—112no—
394C4×C22⋊C4—112no—
395C4×C22⋊C4—114no—
396C4×C22⋊C4—112no—
397C43—111no—
398C43—112no—
399C22×C11—24no—
400C22×C11—24no—
401C22×C11—24no—
402C22×C11—42no—
403C22×C11—42no—
404C22×C11—42no—
405C22×C11—42no—
406C22×C11C23×D411yescharacteristic
407C22×C11C23×Q811yescharacteristic
408C22×C11C22×#4111yescharacteristic
409C22×C11C22×#4111yescharacteristic
410C22×C11C22×#4111yescharacteristic
411C22×C11C2×2−1+411yescharacteristic
412C22×C11#58511yescharacteristic
413C4×C11—24no—
414C4×C11—22no—
415C4×C11—42no—
416C4×C11—42no—
417C4×C11—44no—
418C4×C11#53214yes—
419C4×C11#53314yescomplemented
420Dic11—24no—
421Dic11—24no—
422Dic11—24no—
423Dic11—22no—
424Dic11—22no—
425Dic11—24no—
426Dic11—44no—
427Dic11—41no—
428Dic11D4×Q814yes—
429C22×Q8—112no—
430C22×Q8—114no—
431C22×Q8C22×D1111yescharacteristic
432C22×D4C22×D1111yescharacteristic
433C23×C4—112no—
434C23×C4—112no—
435C23×C4C22×D1112yes—
436C4⋊Q8—228no—
437C4⋊Q8—228no—
438C4⋊Q8—228no—
439C4⋊Q8—224no—
440#125—2216no—
441C22⋊Q8—28no—
442C22⋊Q8—2216no—
443C22⋊Q8—228no—
444C22⋊Q8—228no—
445C4×Q8—24no—
446C4×Q8—118no—
447C4×Q8—228no—
448C4×Q8—2216no—
449C4×Q8—224no—
450C4×D4—24no—
451C4×D4—118no—
452C4×D4—224no—
453#117—2216no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—114no—
460C2×C4⋊C4—114no—
461C2×C4⋊C4—114no—
462C2×C4⋊C4—114no—
463C2×C4⋊C4—114no—
464C2×C4⋊C4—112no—
465C2×C4⋊C4—114no—
466C2×C4⋊C4—112no—
467C2×C4⋊C4—114no—
468C2×C4⋊C4—112no—
469C2×C4⋊C4C22×D1111yescharacteristic
470C2×C4⋊C4C22×D1114yes—
471C2×C4⋊C4C22×D1112yes—
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C4⋊C4C22×D1112yes—
474C2×C4⋊C4C22×D1112yes—
475C2×C4⋊C4C22×D1112yes—
476C2×C22⋊C4—112no—
477C2×C22⋊C4—114no—
478C2×C22⋊C4—112no—
479C2×C22⋊C4—114no—
480C2×C22⋊C4C22×D1114yes—
481C2×C22⋊C4C22×D1112yes—
482C2×C22⋊C4C22×D1114yes—
483C2×C42—112no—
484C2×C42—111no—
485C2×C42—111no—
486C2×C42—114no—
487C2×C42—111no—
488C2×C42—112no—
489C2×C42—111no—
490C2×C42—112no—
491C2×C42—112no—
492C2×C42—112no—
493C2×C42—112no—
494C2×C42—112no—
495C2×C42—111no—
496C2×C42—111no—
497C2×C42—112no—
498C2×C42—228no—
499C2×C42C22×D1112yes—
500C2×C42C22×D1111yescharacteristic
501#95—112no—
502#95—112no—
503#95—112no—
504#95—114no—
505#95—114no—
506#95—112no—
507#95—112no—
508#95—112no—
509#95—114no—
510#95—114no—
511#95—114no—
512#95C22×D1114yes—
513C2×C11—44no—
514C2×C11C2×#53211yescharacteristic
515C2×C11C2×#53311yescharacteristic
516C2×C11#346111yescharacteristic
517C2×C11C2×D4×Q811yescharacteristic
518C2×C11D4×#4111yescharacteristic
519C2×C11Q8×#4111yescharacteristic
520C2×C11#348211yescharacteristic
521C24C23×D1112yes—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—228no—
525C2×Q8—228no—
526C2×Q8—224no—
527C2×Q8—224no—
528C2×Q8—224no—
529C2×Q8—444no—
530C2×Q8D4×D1114yes—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4Q8×D1114yes—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—111no—
538C22×C4—118no—
539C22×C4—111no—
540C22×C4—112no—
541C22×C4—112no—
542C22×C4—112no—
543C22×C4—111no—
544C22×C4—112no—
545C22×C4—111no—
546C22×C4—114no—
547C22×C4—224no—
548C22×C4—224no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—442no—
552C22×C4C23×D1112yes—
553C22×C4C23×D1114yes—
554C22×C4C23×D1112yes—
555C22×C4C23×D1112yes—
556C22×C4C23×D1111yescharacteristic
557C22×C4C23×D1111yescharacteristic
558C22×C4C23×D1111yescharacteristic
559C4⋊C4—28no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—24no—
565C4⋊C4—42no—
566C4⋊C4—118no—
567C4⋊C4—114no—
568C4⋊C4—114no—
569C4⋊C4—114no—
570C4⋊C4—114no—
571C4⋊C4—228no—
572C4⋊C4—228no—
573C4⋊C4—228no—
574C4⋊C4—224no—
575C4⋊C4—228no—
576C4⋊C4—228no—
577C4⋊C4—228no—
578C4⋊C4—228no—
579C4⋊C4—224no—
580C4⋊C4—224no—
581C22⋊C4—28no—
582C22⋊C4—24no—
583C22⋊C4—44no—
584C22⋊C4—118no—
585C22⋊C4—228no—
586C22⋊C4—224no—
587C22⋊C4—228no—
588C42—24no—
589C42—114no—
590C42—118no—
591C42—114no—
592C42—224no—
593C42—224no—
594C42—228no—
595C42—224no—
596C42—222no—
597C42—224no—
598C42—224no—
599C42—222no—
600C42—222no—
601C42—224no—
602C42—441no—
603C42—442no—
604C42#434114yes—
605C11#3492911yescharacteristic, complemented, Sylow
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23C2×Q8×D1114yes—
613C23C24×D1111yescharacteristic
614Q8—28no—
615Q8—4416no—
616Q8—448no—
617D4—28no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—48no—
632C2×C4—112no—
633C2×C4—112no—
634C2×C4—112no—
635C2×C4—112no—
636C2×C4—114no—
637C2×C4—112no—
638C2×C4—114no—
639C2×C4—114no—
640C2×C4—114no—
641C2×C4—2216no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—221no—
645C2×C4—222no—
646C2×C4—221no—
647C2×C4—222no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—222no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—224no—
655C2×C4—224no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—224no—
659C2×C4—221no—
660C2×C4—448no—
661C2×C4C2×D4×D1114yes—
662C2×C4C2×D4×D1112yes—
663C2×C4C2×#434112yes—
664C2×C4C2×#434112yes—
665C2×C4C2×#434112yes—
666C2×C4C2×Q8×D1112yes—
667C2×C4#41×D1112yes—
668C2×C4#41×D1112yes—
669C22—24no—
670C22—24no—
671C22—24no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22C22×D4×D1111yescharacteristic
677C22C22×#434111yescharacteristic
678C22C22×Q8×D1111yescharacteristic
679C22C2×#41×D1111yescharacteristic
680C22C2×#41×D1111yescharacteristic
681C22#1062345511yescharacteristic
682C22D11×2−1+411yescharacteristic
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—44no—
688C4—114no—
689C4—222no—
690C4—224no—
691C4—224no—
692C4—222no—
693C4—224no—
694C4—224no—
695C4—444no—
696C4—441no—
697C4#1062312714yes—
698C4#1062315314yescomplemented
699C2—44no—
700C2C2×#1062312711yescharacteristic
701C2C2×#1062315311yescharacteristic
702C2#1308204411yescharacteristic
703C2D4×Q8×D1111yescharacteristic
704C2#1308210611yescharacteristic
705C2#1308219511yescharacteristic
706C2#1308223511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2538C2
prime radicalC22×D4×C11C23
hypercenter#2538D11
hypocenterC11#34929
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2538

Complements

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

NH ≅ G/Ntype
1. C2×#10623153C2semidirect
2. #13073693C2semidirect
3. #13073645C2semidirect
4. #13073601C2semidirect
6. #13073130C2semidirect
7. #13072986C2semidirect
9. #13072217C2semidirect
10. #13071891C2semidirect
11. #13071187C2semidirect
12. #13071183C2semidirect
13. #13071144C2semidirect
15. C4×Q8×Dic11C2semidirect
111. Q8×Dic11D4semidirect
114. D4×Dic11Q8semidirect
419. C4×C11#533semidirect
605. C11#34929semidirect
698. C4#10623153semidirect

Maximal subgroups

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

subgroupindex
C2×#106231532
#130736932
#130736452
#130736012
#130735692
#130731302
#130729862
#130724692
#130722172
#130718912
#130711872
#130711832
#130711442
#130710782
C4×Q8×Dic112
C4×D4×Dic112
C11×#25382
#3492911