Finite Group Databasebeta

← #14675860

Subgroups — #14675860

Order 2816.

2330 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D44C211yesmaximal, characteristic
2C2×#10622266C212yesmaximal, complemented
3C2×#10622280C211yesmaximal, characteristic, complemented
4C2×#10622279C211yesmaximal, characteristic, complemented
5#13066860C212yesmaximal, complemented
6#13066856C212yesmaximal
7#13066852C212yesmaximal, complemented
8#13066843C211yesmaximal, characteristic, complemented
9(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
10(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
11C11×#1434C211yesmaximal, characteristic, complemented
12C23×D44C2211yescharacteristic
13C23×C4×D11C2211yescharacteristic
14C23×C4×D11C2211yescharacteristic
15C22×C42×C11C2211yescharacteristic
16C22×(C2×D11)⋊C4C2212yes—
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2211yescharacteristic
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2212yes—
22C22×C4⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2212yes—
24C22×C4×Dic11C2212yes—
25C2×C4×D44—28no—
26C2×C4×D44C418yescomplemented
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2212yes—
29C2×C11×#95C2212yes—
30C2×C11×#95C2211yescharacteristic
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2211yescharacteristic
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37#10622280—24no—
38#10622279—24no—
39#10622266—28no—
40C24×D11C2311yescharacteristic
41C24×D11C2311yescharacteristic
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×Dic11C2312yes—
48C23×Dic11C2312yes—
49C23×Dic11C2311yescharacteristic
50C23×Dic11C2311yescharacteristic
51C22×D44—24no—
52C22×D44—22no—
53C22×D44—22no—
54C22×D44—24no—
55C22×D44C2×C414yes—
56C22×C4×D11—22no—
57C22×C4×D11—22no—
58C22×C4×D11—22no—
59C22×C4×D11—22no—
60C22×C4×D11—24no—
61C22×C4×D11—24no—
62C22×C4×D11—42no—
63C22×C4×D11—42no—
64C22×C4×D11C2×C414yes—
65C22×C4×D11C2×C414yes—
66C2×C42×C11—24no—
67C2×C42×C11C2×C414yes—
68C2×(C2×D11)⋊C4—24no—
69C2×(C2×D11)⋊C4—24no—
70C2×(C2×D11)⋊C4—24no—
71C2×(C2×D11)⋊C4—24no—
72C2×(C2×D11)⋊C4—24no—
73C2×(C2×D11)⋊C4—24no—
74C2×(C2×D11)⋊C4—24no—
75C2×(C2×D11)⋊C4—24no—
76C2×(C2×D11)⋊C4—24no—
77C2×(C2×D11)⋊C4—24no—
78C2×(C2×D11)⋊C4—42no—
79C2×(C2×D11)⋊C4—42no—
80C2×(C2×D11)⋊C4—42no—
81C2×(C2×D11)⋊C4—42no—
82C2×(C2×D11)⋊C4C2×C414yes—
83C2×(C2×D11)⋊C4C2×C414yes—
84C2×C4⋊Dic11C2×C414yes—
85C2×C4⋊Dic11D418yes—
86C2×Dic11⋊C4—24no—
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4—42no—
89C2×C4×Dic11—24no—
90C2×C4×Dic11—24no—
91C2×C4×Dic11—42no—
92C4×D44—232no—
93C11×#95—24no—
94C11×#95—22no—
95C11×#95—42no—
96C11×#95D414yescomplemented
97C11⋊#95—24no—
98C11⋊#95—22no—
99C11⋊#95—22no—
100C11⋊#95—24no—
101C11⋊#95—24no—
102C11⋊#95—24no—
103#13890—111nomaximal, Sylow
104C24×C11C2411yescharacteristic
105C23×D11—21no—
106C23×D11—21no—
107C23×D11—22no—
108C23×D11—22no—
109C23×D11—22no—
110C23×D11—22no—
111C23×D11—21no—
112C23×D11—21no—
113C23×D11—22no—
114C23×D11—21no—
115C23×D11—21no—
116C23×D11—21no—
117C23×D11—21no—
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—21no—
121C23×D11—21no—
122C23×D11C22×C412yes—
123C23×D11C22×C412yes—
124C23×D11#4114yes—
125C23×D11#4112yes—
126C23×D11#4112yes—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—21no—
130C22×C4×C11—21no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—21no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—21no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11C22×C412yes—
150C22×C4×C11C22×C412yes—
151C22×C4×C11C22×C412yes—
152C22×C4×C11C2×D414yes—
153C22×C4×C11C2×D414yes—
154C22×C4×C11C2×D412yes—
155C22×C4×C11#4112yes—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11C22×C412yes—
176C22×Dic11C22×C412yes—
177C22×Dic11C2×D414yes—
178C22×Dic11C2×D414yes—
179C22×Dic11#4114yes—
180C2×D44—216no—
181C2×D44—216no—
182C2×D44—28no—
183C2×D44—28no—
184C2×D44—28no—
185C2×C4×D11—28no—
186C2×C4×D11—28no—
187C2×C4×D11—28no—
188C2×C4×D11—28no—
189C2×C4×D11—44no—
190C2×C4×D11—44no—
191C2×C4×D11—48no—
192C2×C4×D11—48no—
193C2×C4×D11—48no—
194C2×C4×D11—48no—
195C42×C11—28no—
196(C2×D11)⋊C4—216no—
197(C2×D11)⋊C4—28no—
198(C2×D11)⋊C4—28no—
199(C2×D11)⋊C4—48no—
200(C2×D11)⋊C4—48no—
201(C2×D11)⋊C4—48no—
202C4⋊Dic11C22⋊C4116yescomplemented
203Dic11⋊C4—48no—
204C4×Dic11—48no—
205C22×C4×D4—111no—
206C2×#387—112no—
207C2×#380—111no—
208C2×C4×C22⋊C4—111no—
209#1439—112no—
210#1438—112no—
211#1437—112no—
212#1434—111no—
213#1434D1111yescharacteristic, complemented
214C22⋊#95—111no—
215C22⋊#95—111no—
216C23×C11C23×C411yescharacteristic
217C23×C11C22×D411yescharacteristic
218C23×C11C22×D412yes—
219C23×C11C2×#4111yescharacteristic
220C23×C11C2×#4112yes—
221C23×C11C2×#4111yescharacteristic
222C23×C11C2×#4111yescharacteristic
223C23×C11C2×#4112yes—
224C23×C11H(5,𝔽2)11yescharacteristic
225C23×C11H(5,𝔽2)12yes—
226C23×C112−1+411yescharacteristic
227C22×D11—22no—
228C22×D11—22no—
229C22×D11—22no—
230C22×D11—22no—
231C22×D11—22no—
232C22×D11—22no—
233C22×D11—22no—
234C22×D11—22no—
235C22×D11—22no—
236C22×D11—22no—
237C22×D11—22no—
238C22×D11—22no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—24no—
242C22×D11—24no—
243C22×D11—24no—
244C22×D11—24no—
245C22×D11—24no—
246C22×D11—24no—
247C22×D11—22no—
248C22×D11—22no—
249C22×D11—24no—
250C22×D11—22no—
251C22×D11—24no—
252C22×D11—22no—
253C22×D11—42no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—42no—
259C22×D11—42no—
260C22×D11—42no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11—42no—
266C22×D11—42no—
267C22×D11—42no—
268C22×D11—41no—
269C22×D11—42no—
270C22×D11—41no—
271C22×D11#11714yes—
272C22×D11#11714yes—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—24no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—42no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11C2×C22⋊C414yes—
301C2×C4×C11C4×D414yes—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11C2×C22⋊C414yes—
325C2×Dic11C2×C22⋊C414yes—
326D44—232no—
327C4×D11—416no—
328C4×D11—416no—
329C23×D4—111no—
330C24×C4—111no—
331C24×C4—111no—
332C2×C4×D4—118no—
333C2×C4×D4—228no—
334C22×C4⋊C4—111no—
335C22×C4⋊C4—112no—
336C22×C22⋊C4—111no—
337C22×C22⋊C4—111no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—112no—
342C22×C42—112no—
343C22×C42C2×D1111yescharacteristic
344#387—228no—
345#380—224no—
346C4×C22⋊C4—224no—
347C2×#95—111no—
348C2×#95—111no—
349C2×#95—112no—
350C2×#95—112no—
351C2×#95—112no—
352C2×#95—112no—
353C2×#95C2×D1111yescharacteristic
354C2×#95C2×D1112yes—
355C2×#95C2×D1112yes—
356C2×#95C2×D1111yescharacteristic
357C22×C11C22×C22⋊C411yescharacteristic
358C22×C11C2×#11711yescharacteristic
359C22×C11C2×#11711yescharacteristic
360C22×C11C2×C4×D411yescharacteristic
361C22×C11C4×#4111yescharacteristic
362C22×C11#51811yescharacteristic
363C22×C11#52011yescharacteristic
364C22×C11#52512yes—
365C22×C11#52512yes—
366C22×C11#52512yes—
367C22×C11#52912yes—
368C22×C11#53812yes—
369C22×C11#53912yes—
370C22×C11D4212yes—
371C22×C11#54612yes—
372C22×C11#54611yescharacteristic
373C22×C11#54811yescharacteristic
374C22×C11#54812yes—
375C22×C11#55012yes—
376C22×C11#55112yes—
377C22×C11#55211yescharacteristic
378C22×C11#55312yes—
379C22×C11#55311yescharacteristic
380C2×D11—24no—
381C2×D11—24no—
382C2×D11—24no—
383C2×D11—24no—
384C2×D11—24no—
385C2×D11—24no—
386C2×D11—42no—
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—42no—
391C2×D11—42no—
392C2×D11—42no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—44no—
398C2×D11—44no—
399C2×D11—44no—
400C2×D11—44no—
401C2×D11—42no—
402C4×C11—24no—
403C4×C11—24no—
404C4×C11—42no—
405C4×C11—44no—
406C4×C11—82no—
407Dic11—24no—
408Dic11—24no—
409Dic11—44no—
410Dic11—82no—
411C25—111no—
412C25—111no—
413C22×D4—114no—
414C22×D4—222no—
415C22×D4—222no—
416C22×D4—224no—
417C22×D4—224no—
418C23×C4—111no—
419C23×C4—111no—
420C23×C4—112no—
421C23×C4—114no—
422C23×C4—114no—
423C23×C4—112no—
424C23×C4—224no—
425C23×C4—224no—
426C23×C4—222no—
427C23×C4—222no—
428C23×C4—222no—
429C23×C4—222no—
430C23×C4—442no—
431C23×C4—442no—
432C23×C4C22×D1112yes—
433C23×C4C22×D1111yescharacteristic
434C23×C4C22×D1112yes—
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1111yescharacteristic
437C4×D4—2232no—
438C2×C4⋊C4—114no—
439C2×C4⋊C4—118no—
440C2×C4⋊C4—224no—
441C2×C4⋊C4—224no—
442C2×C4⋊C4—442no—
443C2×C22⋊C4—114no—
444C2×C22⋊C4—114no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—224no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—224no—
450C2×C22⋊C4—224no—
451C2×C22⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—224no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—442no—
456C2×C22⋊C4—442no—
457C2×C22⋊C4—442no—
458C2×C22⋊C4—442no—
459C2×C42—24no—
460C2×C42—224no—
461C2×C42—224no—
462C2×C42—442no—
463C2×C42C4×D1114yes—
464#95—22no—
465#95—24no—
466#95—42no—
467#95—224no—
468#95—224no—
469#95—224no—
470#95—222no—
471#95—222no—
472#95—224no—
473#95D4414yescomplemented
474C2×C11#228011yescharacteristic
475C2×C11#229011yescharacteristic
476C2×C11#231811yescharacteristic
477C2×C11D4×C22⋊C411yescharacteristic
478C2×C11#234111yescharacteristic
479C2×C11#235211yescharacteristic
480C2×C11#235311yescharacteristic
481C2×C11#245612yes—
482C2×C11#246012yes—
483C2×C11#246312yes—
484C2×C11#246712yes—
485D11—44no—
486D11—44no—
487C24—112no—
488C24—112no—
489C24—112no—
490C24—112no—
491C24—114no—
492C24—221no—
493C24—221no—
494C24—221no—
495C24—221no—
496C24—222no—
497C24—222no—
498C24—221no—
499C24—221no—
500C24—221no—
501C24—221no—
502C24—222no—
503C24—222no—
504C24—221no—
505C24—221no—
506C24—222no—
507C24—222no—
508C24—222no—
509C24C23×D1111yescharacteristic
510C2×D4—228no—
511C2×D4—228no—
512C2×D4—2216no—
513C2×D4—2216no—
514C2×D4—228no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—114no—
540C22×C4—114no—
541C22×C4—114no—
542C22×C4—228no—
543C22×C4—228no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—228no—
557C22×C4—228no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—444no—
566C22×C4—444no—
567C22×C4—448no—
568C22×C4—448no—
569C22×C4—448no—
570C22×C4—448no—
571C22×C4C2×C4×D1112yes—
572C22×C4C2×C4×D1112yes—
573C22×C4C2×C4×D1112yes—
574C22×C4C2×D4414yes—
575C22×C4C2×D4412yes—
576C22×C4#433912yes—
577C22×C4D4×D1114yes—
578C4⋊C4—1116no—
579C4⋊C4—448no—
580C22⋊C4—228no—
581C22⋊C4—228no—
582C22⋊C4—2216no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C22⋊C4—448no—
586C42—28no—
587C42—448no—
588C11#1389011yescharacteristic, complemented, Sylow
589C23—114no—
590C23—114no—
591C23—224no—
592C23—224no—
593C23—222no—
594C23—222no—
595C23—222no—
596C23—222no—
597C23—222no—
598C23—222no—
599C23—222no—
600C23—222no—
601C23—222no—
602C23—222no—
603C23—222no—
604C23—222no—
605C23—224no—
606C23—224no—
607C23—222no—
608C23—222no—
609C23—222no—
610C23—222no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—224no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—441no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—442no—
630C23—442no—
631C23—442no—
632C23—442no—
633C23—442no—
634C23—442no—
635C23C22×C4×D1111yescharacteristic
636C23C22×D4411yescharacteristic
637C23C2×#433911yescharacteristic
638C23C2×D4×D1112yes—
639C23#6703711yescharacteristic
640C23#6704011yescharacteristic
641C23#41×D1111yescharacteristic
642C23#41×D1112yes—
643C23#41×D1111yescharacteristic
644C23#41×D1112yes—
645C23#6704212yes—
646D4—2232no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—114no—
675C2×C4—114no—
676C2×C4—222no—
677C2×C4—222no—
678C2×C4—222no—
679C2×C4—222no—
680C2×C4—224no—
681C2×C4—224no—
682C2×C4—224no—
683C2×C4—224no—
684C2×C4—224no—
685C2×C4—224no—
686C2×C4—224no—
687C2×C4—4416no—
688C2×C4—4416no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4—442no—
697C2×C4—442no—
698C2×C4—442no—
699C2×C4—442no—
700C2×C4C4×D4414yes—
701C2×C4C22⋊C4×D1114yes—
702C22—224no—
703C22—224no—
704C22—224no—
705C22—224no—
706C22—224no—
707C22—224no—
708C22—444no—
709C22—444no—
710C22—442no—
711C22—442no—
712C22—442no—
713C22—442no—
714C22—444no—
715C22—444no—
716C22—442no—
717C22—444no—
718C22—444no—
719C22—442no—
720C22—442no—
721C22—442no—
722C22—444no—
723C22—444no—
724C22C2×C4×D4411yescharacteristic
725C22C2×C22⋊C4×D1111yescharacteristic
726C22#1062303511yescharacteristic
727C22D11×#11711yescharacteristic
728C22D11×#11711yescharacteristic
729C22#1062305211yescharacteristic
730C22#1062305311yescharacteristic
731C22#1062305512yes—
732C22#1062305912yes—
733C22D4×D4412yes—
734C22#1062308112yes—
735C22#1062308511yescharacteristic
736C22#1062308911yescharacteristic
737C22#1062310711yescharacteristic
738C22#1062311211yescharacteristic
739C22#1062313012yes—
740C22#1062316412yes—
741C22#1062318712yes—
742C22#1062318712yes—
743C22#1062320912yes—
744C22#1062322312yes—
745C22#1062323612yes—
746C22#1062324012yes—
747C4—24no—
748C4—24no—
749C4—42no—
750C4—44no—
751C4—82no—
752C4—224no—
753C4—224no—
754C4—444no—
755C4—882no—
756C2—444no—
757C2—444no—
758C2#1307099611yescharacteristic
759C2#1307106011yescharacteristic
760C2#1307125211yescharacteristic
761C2C22⋊C4×D4411yescharacteristic
762C2#1307145311yescharacteristic
763C2#1307154811yescharacteristic
764C2#1307154911yescharacteristic
765C2#1307250512yes—
766C2#1307256512yes—
767C2#1307261112yes—
768C2#1307266612yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1434C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenter#1434D11
hypocenterC11#13890
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
2. C2×#10622266C2semidirect
3. C2×#10622280C2semidirect
4. C2×#10622279C2semidirect
5. #13066860C2semidirect
7. #13066852C2semidirect
8. #13066843C2semidirect
9. (C2×D11)⋊#95C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×#1434C2semidirect
26. C2×C4×D44C4semidirect
96. C11×#95D4semidirect
202. C4⋊Dic11C22⋊C4semidirect
213. #1434D11semidirect
473. #95D44semidirect
588. C11#13890semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D442
C2×#106222662
C2×#106222802
C2×#106222792
#130668602
#130668562
#130668522
#130668432
(C2×D11)⋊#952
C11×#14342
#1389011