Finite Group Databasebeta

← #14675670

Subgroups — #14675670

Order 2816.

2590 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic
2C22×#66925C211yesmaximal, characteristic, complemented
3C2×#10622280C211yesmaximal, characteristic, complemented
4C2×#10622555C212yesmaximal, complemented
5#13066864C212yesmaximal, complemented
6#13066855C212yesmaximal
7#13066853C211yesmaximal, characteristic, complemented
8#13066851C211yesmaximal, characteristic, complemented
9#13066849C211yesmaximal, characteristic, complemented
10Dic11⋊#95C212yesmaximal, complemented
11C11×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D11C2211yescharacteristic
13C24×Dic11C2211yescharacteristic
14C23×C4×D11C2211yescharacteristic
15C22×C11×C22⋊C4C2212yes—
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C42×C11C2211yescharacteristic
18C22×C22⋊Dic11C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2212yes—
22C22×Dic11⋊C4C2212yes—
23C22×Dic11⋊C4C2211yescharacteristic
24C22×Dic11⋊C4C2212yes—
25C22×C4×Dic11C2211yescharacteristic
26C22×C4×Dic11C2211yescharacteristic
27C2×(C22⋊D11)⋊C4—24no—
28C2×(C22⋊D11)⋊C4—24no—
29C2×(C22⋊D11)⋊C4C418yescomplemented
30C2×#66925—24no—
31C2×#66925—28no—
32C2×C11×#95C2211yescharacteristic
33C2×C11×#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2211yescharacteristic
37C2×C11⋊#95C2212yes—
38C2×C11⋊#95C2212yes—
39C2×C11⋊#95C2212yes—
40#10622555—28no—
41#10622280—24no—
42C25×C11C2311yescharacteristic
43C24×D11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2312yes—
47C23×C4×C11C2311yescharacteristic
48C22×C22⋊D11—24no—
49C22×C22⋊D11—22no—
50C22×C22⋊D11—22no—
51C22×C22⋊D11—24no—
52C22×C22⋊D11C2×C414yes—
53C23×Dic11—22no—
54C23×Dic11—22no—
55C23×Dic11—24no—
56C23×Dic11—24no—
57C23×Dic11C2×C414yes—
58C23×Dic11C2312yes—
59C23×Dic11C2311yescharacteristic
60C23×Dic11C2312yes—
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C22×C4×D11—24no—
64C22×C4×D11—24no—
65C22×C4×D11C2×C414yes—
66C22×C4×D11D414yes—
67C22×C4×D11D414yes—
68C2×C11×C22⋊C4—22no—
69C2×C11×C22⋊C4—22no—
70C2×C11×C22⋊C4—24no—
71C2×C11×C22⋊C4—24no—
72C2×C11×C22⋊C4—42no—
73C2×C11×C22⋊C4C2×C414yes—
74C2×C42×C11—24no—
75C2×C42×C11—22no—
76C2×C22⋊Dic11—24no—
77C2×C22⋊Dic11—24no—
78C2×C22⋊Dic11—42no—
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4—22no—
81C2×(C2×D11)⋊C4—22no—
82C2×(C2×D11)⋊C4—24no—
83C2×(C2×D11)⋊C4—24no—
84C2×(C2×D11)⋊C4—24no—
85C2×(C2×D11)⋊C4—42no—
86C2×(C2×D11)⋊C4—42no—
87C2×(C2×D11)⋊C4C2×C414yes—
88C2×Dic11⋊C4—22no—
89C2×Dic11⋊C4—22no—
90C2×Dic11⋊C4—24no—
91C2×Dic11⋊C4—24no—
92C2×Dic11⋊C4—24no—
93C2×Dic11⋊C4—24no—
94C2×Dic11⋊C4—24no—
95C2×Dic11⋊C4C2×C414yes—
96C2×Dic11⋊C4D418yescomplemented
97C2×C4×Dic11—22no—
98C2×C4×Dic11—24no—
99C2×C4×Dic11—22no—
100C2×C4×Dic11—22no—
101C2×C4×Dic11C2×C414yes—
102(C22⋊D11)⋊C4—232no—
103#66925—232no—
104C11×#95—22no—
105C11×#95—42no—
106C11⋊#95—22no—
107C11⋊#95—24no—
108C11⋊#95—24no—
109C11⋊#95—24no—
110C11⋊#95—24no—
111C11⋊#95—42no—
112#13871—111nomaximal, Sylow
113C24×C11—22no—
114C24×C11—21no—
115C24×C11—21no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11—22no—
120C24×C11C22×C412yes—
121C24×C11#4114yes—
122C24×C11C2411yescharacteristic
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—22no—
126C23×D11—22no—
127C23×D11—22no—
128C23×D11—22no—
129C23×D11C22×C412yes—
130C23×D11C2×D412yes—
131C23×D11C2×D412yes—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—21no—
135C22×C4×C11—21no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
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×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11C22×C412yes—
152C22×C4×C11C22×C412yes—
153C22×C4×C11C2×D414yes—
154C22×C4×C11C2×D412yes—
155C22×C4×C11C2×D412yes—
156C2×C22⋊D11—216no—
157C2×C22⋊D11—216no—
158C2×C22⋊D11—28no—
159C2×C22⋊D11—28no—
160C2×C22⋊D11—28no—
161C22×Dic11—28no—
162C22×Dic11—216no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11—44no—
184C22×Dic11—48no—
185C22×Dic11—44no—
186C22×Dic11C22×C412yes—
187C22×Dic11C22×C412yes—
188C22×Dic11C22×C412yes—
189C22×Dic11C2×D414yes—
190C22×Dic11C2×D412yes—
191C22×Dic11C2×D412yes—
192C22×Dic11C2×D414yes—
193C22×Dic11#4114yes—
194C22×Dic11#4114yes—
195C2×C4×D11—216no—
196C2×C4×D11—28no—
197C2×C4×D11—216no—
198C2×C4×D11—28no—
199C2×C4×D11C22⋊C4116yescomplemented
200C11×C22⋊C4—28no—
201C11×C22⋊C4—48no—
202C42×C11—28no—
203C22⋊Dic11—48no—
204(C2×D11)⋊C4—216no—
205(C2×D11)⋊C4—28no—
206(C2×D11)⋊C4—48no—
207Dic11⋊C4—216no—
208Dic11⋊C4—28no—
209Dic11⋊C4—48no—
210C4×Dic11—28no—
211C4×Dic11—28no—
212C22×C4×D4—111no—
213C22×#117—111no—
214C2×#380—111no—
215C2×#380—112no—
216#1440—112no—
217#1438—112no—
218#1437—111no—
219#1437D1111yescharacteristic, complemented
220#1436—111no—
221#1436—111no—
222C4⋊#95—112no—
223C23×C11—22no—
224C23×C11—22no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—24no—
233C23×C11—41no—
234C23×C11—42no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11#11714yescomplemented
244C23×C11C23×C411yescharacteristic
245C23×C11C22×D411yescharacteristic
246C23×C11C22×D411yescharacteristic
247C23×C11C22×D412yes—
248C23×C11C2×#4112yes—
249C23×C11C2×#4112yes—
250C23×C11C2×#4112yes—
251C23×C11H(5,𝔽2)12yes—
252C23×C112−1+412yes—
253C22×D11—22no—
254C22×D11—22no—
255C22×D11—24no—
256C22×D11—24no—
257C22×D11—22no—
258C22×D11—24no—
259C22×D11—22no—
260C22×D11—24no—
261C22×D11—24no—
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—24no—
265C22×D11—42no—
266C22×D11—42no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—42no—
273C22×D11C2×C22⋊C414yes—
274C2×C4×C11—24no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—42no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—42no—
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×C11C2×C22⋊C414yes—
298C22⋊D11—232no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—41no—
309C2×Dic11—42no—
310C2×Dic11—41no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—416no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11C2×C22⋊C414yes—
324C2×Dic11#11714yescomplemented
325C2×Dic11C4×D418yes—
326C2×Dic11#12014yes—
327C2×Dic11#12118yes—
328C2×Dic11#12314yes—
329C4×D11—232no—
330C23×D4—111no—
331C24×C4—111no—
332C24×C4—111no—
333C2×C4×D4—118no—
334C2×C4×D4—224no—
335C2×C4×D4—224no—
336C2×#117—228no—
337C2×#117—224no—
338C22×C4⋊C4—112no—
339C22×C4⋊C4—111no—
340C22×C4⋊C4—112no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—112no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4C2×D1112yes—
346C22×C22⋊C4C2×D1111yescharacteristic
347C22×C42—111no—
348C22×C42—111no—
349C22×C42C2×D1111yescharacteristic
350#380—224no—
351#380—228no—
352C2×#95—112no—
353C2×#95—112no—
354C2×#95—111no—
355C2×#95—112no—
356C2×#95—112no—
357C2×#95—112no—
358C2×#95C2×D1111yescharacteristic
359C2×#95C2×D1112yes—
360C22×C11—28no—
361C22×C11—24no—
362C22×C11—42no—
363C22×C11—44no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—44no—
368C22×C11—42no—
369C22×C11C22×C22⋊C411yescharacteristic
370C22×C11C2×#11711yescharacteristic
371C22×C11C2×#11711yescharacteristic
372C22×C11C2×C4×D412yes—
373C22×C11#52012yes—
374C22×C11C2×#12011yescharacteristic
375C22×C11C2×#12112yes—
376C22×C11C2×#12311yescharacteristic
377C22×C11#52512yes—
378C22×C11#52512yes—
379C22×C11#53511yescharacteristic
380C22×C11#53611yescharacteristic
381C22×C11#53712yes—
382C22×C11#54612yes—
383C22×C11#54712yes—
384C22×C11#54812yes—
385C22×C11#55012yes—
386C22×C11#55212yes—
387C22×C11#55312yes—
388C22×C11#55512yes—
389C22×C11#55612yes—
390C2×D11—24no—
391C2×D11—24no—
392C2×D11—24no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—44no—
398C2×D11—44no—
399C4×C11—24no—
400C4×C11—42no—
401C4×C11—44no—
402C4×C11—82no—
403Dic11—24no—
404Dic11—44no—
405Dic11—42no—
406Dic11—82no—
407Dic11#38618yes—
408C25—111no—
409C25C22×D1111yescharacteristic
410C22×D4—114no—
411C22×D4—224no—
412C22×D4—222no—
413C22×D4—222no—
414C22×D4—224no—
415C23×C4—111no—
416C23×C4—111no—
417C23×C4—114no—
418C23×C4—114no—
419C23×C4—114no—
420C23×C4—114no—
421C23×C4—112no—
422C23×C4—111no—
423C23×C4—112no—
424C23×C4—224no—
425C23×C4—224no—
426C23×C4—222no—
427C23×C4—222no—
428C23×C4—224no—
429C23×C4—224no—
430C23×C4C22×D1112yes—
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1112yes—
433C23×C4C22×D1111yescharacteristic
434C4×D4—2232no—
435#117—2232no—
436C2×C4⋊C4—114no—
437C2×C4⋊C4—118no—
438C2×C4⋊C4—224no—
439C2×C4⋊C4—224no—
440C2×C4⋊C4—222no—
441C2×C4⋊C4—222no—
442C2×C4⋊C4—224no—
443C2×C4⋊C4—224no—
444C2×C4⋊C4—224no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—42no—
450C2×C22⋊C4—114no—
451C2×C22⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—222no—
454C2×C22⋊C4—222no—
455C2×C22⋊C4—224no—
456C2×C22⋊C4—224no—
457C2×C22⋊C4—224no—
458C2×C22⋊C4—224no—
459C2×C22⋊C4—442no—
460C2×C22⋊C4—442no—
461C2×C22⋊C4—442no—
462C2×C22⋊C4C4×D1114yes—
463C2×C42—24no—
464C2×C42—22no—
465C2×C42—114no—
466C2×C42—224no—
467C2×C42—222no—
468C2×C42—222no—
469C2×C42—222no—
470#95—22no—
471#95—42no—
472#95—224no—
473#95—224no—
474#95—224no—
475#95—224no—
476#95—222no—
477#95—442no—
478C2×C11—44no—
479C2×C11#228011yescharacteristic
480C2×C11C2×#38611yescharacteristic
481C2×C11#231111yescharacteristic
482C2×C11#235212yes—
483C2×C11#235412yes—
484C2×C11#240712yes—
485C2×C11#241412yes—
486C2×C11#241512yes—
487C2×C11#248512yes—
488D11—44no—
489C24—22no—
490C24—21no—
491C24—21no—
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24—112no—
497C24—112no—
498C24—112no—
499C24—222no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24C2×C4×D1112yes—
506C24#433914yes—
507C24C23×D1111yescharacteristic
508C2×D4—228no—
509C2×D4—228no—
510C2×D4—2216no—
511C2×D4—2216no—
512C2×D4—228no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—112no—
533C22×C4—112no—
534C22×C4—112no—
535C22×C4—114no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—114no—
539C22×C4—1116no—
540C22×C4—112no—
541C22×C4—114no—
542C22×C4—228no—
543C22×C4—2216no—
544C22×C4—2216no—
545C22×C4—228no—
546C22×C4—228no—
547C22×C4—2216no—
548C22×C4—222no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—222no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—444no—
569C22×C4—448no—
570C22×C4—444no—
571C22×C4C2×C4×D1112yes—
572C22×C4C2×C4×D1112yes—
573C22×C4D4×D1114yes—
574C22×C4D4×D1112yes—
575C22×C4D4×D1112yes—
576C4⋊C4—2216no—
577C4⋊C4—228no—
578C4⋊C4—448no—
579C22⋊C4—28no—
580C22⋊C4—48no—
581C22⋊C4—228no—
582C22⋊C4—2216no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C42—28no—
586C42—228no—
587C42—228no—
588C11#1387111yescharacteristic, complemented, Sylow
589C23—22no—
590C23—24no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—42no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—41no—
609C23—114no—
610C23—222no—
611C23—222no—
612C23—222no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—224no—
617C23—222no—
618C23—224no—
619C23—224no—
620C23—222no—
621C23—222no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23—442no—
629C23—442no—
630C23#6692514yescomplemented
631C23C22×C4×D1111yescharacteristic
632C23C2×#433912yes—
633C23C2×D4×D1111yescharacteristic
634C23C2×D4×D1111yescharacteristic
635C23C2×D4×D1112yes—
636C23#6703712yes—
637C23#41×D1112yes—
638C23#41×D1112yes—
639C23#6704312yes—
640D4—2232no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—114no—
665C2×C4—118no—
666C2×C4—114no—
667C2×C4—118no—
668C2×C4—114no—
669C2×C4—114no—
670C2×C4—2232no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—222no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—224no—
680C2×C4—4416no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—441no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4—442no—
687C2×C4—441no—
688C2×C4—442no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4—442no—
694C2×C4—442no—
695C2×C4C22⋊C4×D1114yes—
696C22—24no—
697C22—28no—
698C22—44no—
699C22—44no—
700C22—42no—
701C22—44no—
702C22—44no—
703C22—42no—
704C22—44no—
705C22—224no—
706C22—224no—
707C22—224no—
708C22—444no—
709C22—444no—
710C22—444no—
711C22—444no—
712C22—444no—
713C22—444no—
714C22C2×#6692511yescharacteristic
715C22C2×C22⋊C4×D1111yescharacteristic
716C22#1062302112yes—
717C22D11×#11711yescharacteristic
718C22#1062306212yes—
719C22#1062307112yes—
720C22C4×D4×D1112yes—
721C22#1062307712yes—
722C22#1062307812yes—
723C22#1062307812yes—
724C22#1062308312yes—
725C22D11×#12011yescharacteristic
726C22#1062313012yes—
727C22D11×#12112yes—
728C22#1062313912yes—
729C22D11×#12311yescharacteristic
730C22#1062318612yes—
731C22#1062320112yes—
732C22#1062320611yescharacteristic
733C22#1062323312yes—
734C22#1062324611yescharacteristic
735C4—24no—
736C4—44no—
737C4—42no—
738C4—82no—
739C4—118no—
740C4—224no—
741C4—444no—
742C4—442no—
743C4—882no—
744C2—44no—
745C2—444no—
746C2#1307099711yescharacteristic
747C2D11×#38611yescharacteristic
748C2#1307120611yescharacteristic
749C2#1307153912yes—
750C2#1307156212yes—
751C2#1307195812yes—
752C2#1307203112yes—
753C2#1307204212yes—
754C2#1307291012yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1437C2
socle, cosocleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenter#1437D11
hypocenterC11#13871
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C22×#66925C2semidirect
3. C2×#10622280C2semidirect
4. C2×#10622555C2semidirect
5. #13066864C2semidirect
7. #13066853C2semidirect
8. #13066851C2semidirect
9. #13066849C2semidirect
10. Dic11⋊#95C2semidirect
11. C11×#1437C2semidirect
29. C2×(C22⋊D11)⋊C4C4semidirect
96. C2×Dic11⋊C4D4semidirect
199. C2×C4×D11C22⋊C4semidirect
219. #1437D11semidirect
243. C23×C11#117semidirect
324. C2×Dic11#117semidirect
588. C11#13871semidirect
630. C23#66925semidirect

Maximal subgroups

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

subgroupindex
C22×(C22⋊D11)⋊C42
C22×#669252
C2×#106222802
C2×#106225552
#130668642
#130668552
#130668532
#130668512
#130668492
Dic11⋊#952
C11×#14372
#1387111