Finite Group Databasebeta

← #14677243

Subgroups — #14677243

Order 2816.

3422 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66993C211yesmaximal, characteristic
2C2×#10622834C211yesmaximal, characteristic, complemented
3C2×#10622552C211yesmaximal, characteristic, complemented
4C2×#10622601C211yesmaximal, characteristic, complemented
5C2×#10622826C214yesmaximal, complemented
6#13066855C214yesmaximal, complemented
7#13066845C211yesmaximal, characteristic, complemented
8C4×C11⋊#95C211yesmaximal, characteristic, complemented
9C22×C4×D4×C11C211yesmaximal, characteristic, complemented
10C23×D4×C11C2211yescharacteristic
11C24×C4×C11C2212yes—
12C23×C22⋊D11C2214yes—
13C23×D44C2211yescharacteristic
14C2×C4×D4×C11—24no—
15C2×C4×D4×C11—24no—
16C2×C4×D4×C11—24no—
17C22×C11×C4⋊C4C2211yescharacteristic
18C22×C11×C22⋊C4C2212yes—
19C22×C42×C11C2211yescharacteristic
20C22×C22⋊Dic11C2214yes—
21C2×#66993—24no—
22C2×#66993—24no—
23C2×#66993C418yescomplemented
24C22×(C2×D11)⋊C4C2212yes—
25C22×(C2×D11)⋊C4C2214yes—
26C22×(C2×D11)⋊C4C2212yes—
27C22×C4⋊Dic11C2211yescharacteristic
28C22×C4×Dic11C2211yescharacteristic
29C22×C4×Dic11C2211yescharacteristic
30#10622834—24no—
31#10622826—216no—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2214yes—
34C2×C11⋊#95C2212yes—
35#10622601—24no—
36#10622552—24no—
37C25×C11C2312yes—
38C24×D11C2312yes—
39C22×D4×C11—22no—
40C22×D4×C11—22no—
41C22×D4×C11—22no—
42C22×D4×C11—22no—
43C22×D4×C11C2×C414yes—
44C22×D4×C11D414yes—
45C22×D4×C11D414yes—
46C23×C4×C11—24no—
47C23×C4×C11—24no—
48C23×C4×C11—24no—
49C23×C4×C11—28no—
50C23×C4×C11—44no—
51C23×C4×C11C2311yescharacteristic
52C23×C4×C11C2312yes—
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2311yescharacteristic
55C22×C22⋊D11—28no—
56C22×C22⋊D11—28no—
57C22×C22⋊D11—28no—
58C22×C22⋊D11—28no—
59C22×C22⋊D11—44no—
60C22×C22⋊D11—44no—
61C22×C22⋊D11C2×C4116yescomplemented
62C23×Dic11C2312yes—
63C23×Dic11C2312yes—
64C23×Dic11C2312yes—
65C22×D44—22no—
66C22×D44—22no—
67C22×D44—22no—
68C22×D44—22no—
69C22×D44—22no—
70C22×D44—22no—
71C22×D44C2×C414yescomplemented
72C4×D4×C11—232no—
73C2×C11×C4⋊C4—22no—
74C2×C11×C4⋊C4—22no—
75C2×C11×C4⋊C4D414yescomplemented
76C2×C11×C22⋊C4—24no—
77C2×C11×C22⋊C4—24no—
78C2×C11×C22⋊C4—24no—
79C2×C42×C11—22no—
80C2×C42×C11—22no—
81C2×C42×C11D414yescomplemented
82C2×C22⋊Dic11—28no—
83C2×C22⋊Dic11—28no—
84C2×C22⋊Dic11—44no—
85#66993—232no—
86C2×(C2×D11)⋊C4—24no—
87C2×(C2×D11)⋊C4—24no—
88C2×(C2×D11)⋊C4—28no—
89C2×(C2×D11)⋊C4—28no—
90C2×(C2×D11)⋊C4—28no—
91C2×(C2×D11)⋊C4—44no—
92C2×(C2×D11)⋊C4—44no—
93C2×C4⋊Dic11—22no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11—22no—
96C2×C4×Dic11—22no—
97C2×C4×Dic11—22no—
98C2×C4×Dic11—22no—
99C2×C4×Dic11—22no—
100C2×C4×Dic11—22no—
101C2×C4×Dic11C2×C414yescomplemented
102C11⋊#95—28no—
103C11⋊#95—24no—
104C11⋊#95D418yescomplemented
105#14025—111nomaximal, Sylow
106C24×C11—24no—
107C24×C11—22no—
108C24×C11—22no—
109C24×C11—24no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—24no—
113C24×C11—24no—
114C24×C11C22×C414yes—
115C24×C11C2×D414yes—
116C24×C11C2×D414yes—
117C24×C11C2411yescharacteristic
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—24no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—24no—
126C23×D11—24no—
127C23×D11—24no—
128C23×D11C22×C414yes—
129C2×D4×C11—28no—
130C2×D4×C11—28no—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—28no—
134C2×D4×C11—28no—
135C2×D4×C11C22⋊C4116yescomplemented
136C22×C4×C11—21no—
137C22×C4×C11—21no—
138C22×C4×C11—22no—
139C22×C4×C11—216no—
140C22×C4×C11—24no—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—24no—
148C22×C4×C11—416no—
149C22×C4×C11—416no—
150C22×C4×C11—48no—
151C22×C4×C11—48no—
152C22×C4×C11C22×C412yes—
153C22×C4×C11C2×D412yes—
154C22×C4×C11C2×D414yes—
155C22×C4×C11C2×D414yes—
156C22×C4×C11C2×D412yes—
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2×D412yes—
159C22×C4×C11C2×D412yes—
160C22×C4×C11C2×D412yes—
161C22×C4×C11#4112yes—
162C22×C4×C11#4112yes—
163C2×C22⋊D11—232no—
164C2×C22⋊D11—232no—
165C2×C22⋊D11—416no—
166C2×C22⋊D11—416no—
167C2×C22⋊D11—416no—
168C2×C22⋊D11—416no—
169C2×C22⋊D11—416no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—24no—
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—22no—
184C22×Dic11—24no—
185C22×Dic11C22×C414yes—
186C22×Dic11C2×D414yes—
187C22×Dic11C2×D414yes—
188C22×Dic11#4114yes—
189C2×D44—28no—
190C2×D44—28no—
191C2×D44—28no—
192C2×D44—44no—
193C2×D44—44no—
194C2×D44—44no—
195C2×D44—44no—
196C11×C4⋊C4—28no—
197C11×C22⋊C4—216no—
198C42×C11—28no—
199C22⋊Dic11—416no—
200(C2×D11)⋊C4—416no—
201(C2×D11)⋊C4—48no—
202(C2×D11)⋊C4—48no—
203C4⋊Dic11—44no—
204C4×Dic11—28no—
205C4×Dic11—44no—
206C22×#127—111no—
207C22×C4×D4D1111yescharacteristic, complemented
208C2×#390—111no—
209C2×#390—111no—
210C2×#390—111no—
211C2×#386—114no—
212#1438—114no—
213C4⋊#95—111no—
214C4×#95—111no—
215C23×C11—28no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—28no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—28no—
224C23×C11—28no—
225C23×C11—28no—
226C23×C11—28no—
227C23×C11—42no—
228C23×C11—44no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—44no—
233C23×C11—44no—
234C23×C11—44no—
235C23×C11—44no—
236C23×C11—44no—
237C23×C11C2×C22⋊C418yes—
238C23×C11C23×C411yescharacteristic
239C23×C11C22×D411yescharacteristic
240C23×C11C22×D412yes—
241C23×C11C22×D411yescharacteristic
242C23×C11C22×D411yescharacteristic
243C23×C11C22×D411yescharacteristic
244C23×C11C2×#4111yescharacteristic
245C23×C11C2×#4111yescharacteristic
246C23×C11C2×#4112yes—
247C23×C11H(5,𝔽2)12yes—
248C23×C11H(5,𝔽2)12yes—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—28no—
253C22×D11—28no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—42no—
259C22×D11—44no—
260C22×D11—42no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—44no—
264C22×D11—44no—
265C22×D11—44no—
266C22×D11—44no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11—44no—
271C22×D11—44no—
272D4×C11—232no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—24no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—28no—
282C2×C4×C11—432no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—44no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11C2×C22⋊C414yes—
289C2×C4×C11C4×D414yes—
290C2×C4×C11C4×D414yes—
291C2×C4×C11#12014yes—
292C2×C4×C11#12114yes—
293C2×C4×C11#12114yes—
294C2×C4×C11#12314yes—
295C2×C4×C11#12714yescomplemented
296C22⋊D11—464no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—44no—
314C2×Dic11—44no—
315C2×Dic11C4×D418yescomplemented
316D44—416no—
317C23×D4—114no—
318C23×D4—111no—
319C23×D4C2×D1111yescharacteristic
320C24×C4C2×D1112yes—
321C2×#127—118no—
322C2×#127—224no—
323C2×#127—224no—
324C2×C4×D4—24no—
325C2×C4×D4—24no—
326C2×C4×D4—24no—
327C22×C4⋊C4—111no—
328C22×C4⋊C4C2×D1111yescharacteristic
329C22×C22⋊C4—112no—
330C22×C22⋊C4—114no—
331C22×C22⋊C4—114no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4C2×D1112yes—
334C22×C42—111no—
335C22×C42—111no—
336C22×C42C2×D1111yescharacteristic
337#390—224no—
338#390—224no—
339#390—224no—
340#386—2216no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—114no—
344C22×C11—216no—
345C22×C11—28no—
346C22×C11—44no—
347C22×C11—44no—
348C22×C11—48no—
349C22×C11—48no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—48no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11C22×C22⋊C411yescharacteristic
356C22×C11C2×C4×D411yescharacteristic
357C22×C11C2×C4×D411yescharacteristic
358C22×C11C2×C4×D412yes—
359C22×C11#51812yes—
360C22×C11C2×#12011yescharacteristic
361C22×C11C2×#12111yescharacteristic
362C22×C11C2×#12111yescharacteristic
363C22×C11C2×#12311yescharacteristic
364C22×C11C2×#12711yescharacteristic
365C22×C11#53212yes—
366C22×C11#53211yescharacteristic
367C22×C11#53511yescharacteristic
368C22×C11#53511yescharacteristic
369C22×C11#54012yes—
370C22×C11D4212yes—
371C22×C11D4212yes—
372C22×C11D4212yes—
373C22×C11#54612yes—
374C22×C11#54612yes—
375C22×C11#55012yes—
376C22×C11#55012yes—
377C22×C11#55912yes—
378C2×D11—44no—
379C2×D11—44no—
380C2×D11—48no—
381C2×D11—48no—
382C2×D11—44no—
383C2×D11—84no—
384C2×D11—82no—
385C2×D11—82no—
386C2×D11—84no—
387C2×D11—82no—
388C2×D11—82no—
389C4×C11—24no—
390C4×C11—42no—
391C4×C11—44no—
392C4×C11#38618yescomplemented
393Dic11—28no—
394Dic11—44no—
395Dic11—82no—
396C25—112no—
397C25C22×D1112yes—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—22no—
401C22×D4—22no—
402C22×D4—1116no—
403C22×D4—114no—
404C22×D4—228no—
405C22×D4—228no—
406C22×D4—228no—
407C22×D4—228no—
408C22×D4—222no—
409C22×D4—222no—
410C22×D4—222no—
411C22×D4—222no—
412C22×D4—222no—
413C22×D4—222no—
414C22×D4—444no—
415C22×D4—444no—
416C22×D4C4×D1114yes—
417C22×D4D4414yes—
418C22×D4C22⋊D1114yes—
419C23×C4—24no—
420C23×C4—24no—
421C23×C4—24no—
422C23×C4—28no—
423C23×C4—44no—
424C23×C4—112no—
425C23×C4—112no—
426C23×C4—112no—
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1112yes—
429C23×C4C22×D1111yescharacteristic
430C23×C4C22×D1111yescharacteristic
431#127—2232no—
432C4×D4—232no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—222no—
436C2×C4⋊C4—222no—
437C2×C4⋊C4—222no—
438C2×C4⋊C4C22⋊D1114yescomplemented
439C2×C22⋊C4—24no—
440C2×C22⋊C4—24no—
441C2×C22⋊C4—24no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—228no—
444C2×C22⋊C4—228no—
445C2×C22⋊C4—228no—
446C2×C22⋊C4—228no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—444no—
450C2×C22⋊C4—444no—
451C2×C22⋊C4—444no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—114no—
455C2×C42—222no—
456C2×C42—222no—
457C2×C42—222no—
458C2×C42—222no—
459C2×C42—222no—
460C2×C42C22⋊D1114yescomplemented
461#95—118no—
462#95—224no—
463#95—228no—
464C2×C11—48no—
465C2×C11C2×#38611yescharacteristic
466C2×C11C4×#12711yescharacteristic
467C2×C11#232811yescharacteristic
468C2×C11D4×C22⋊C412yes—
469C2×C11#236612yes—
470C2×C11#242812yes—
471C2×C11#243111yescharacteristic
472C2×C11#243311yescharacteristic
473C2×C11#244512yes—
474C2×C11#254111yescharacteristic
475C2×C11#254411yescharacteristic
476D11—84no—
477C24—22no—
478C24—22no—
479C24—24no—
480C24—24no—
481C24—24no—
482C24—24no—
483C24—22no—
484C24—22no—
485C24—114no—
486C24—222no—
487C24—222no—
488C24—222no—
489C24—224no—
490C24—224no—
491C24—224no—
492C24—224no—
493C24—222no—
494C24—222no—
495C24—222no—
496C24C2×C4×D1114yes—
497C24C2×D4414yes—
498C24C2×C22⋊D1114yes—
499C24C23×D1111yescharacteristic
500C2×D4—28no—
501C2×D4—28no—
502C2×D4—28no—
503C2×D4—28no—
504C2×D4—28no—
505C2×D4—28no—
506C2×D4—2232no—
507C2×D4—2232no—
508C2×D4—228no—
509C2×D4—228no—
510C2×D4—228no—
511C2×D4—4416no—
512C2×D4—4416no—
513C2×D4—4416no—
514C2×D4—4416no—
515C2×D4—4416no—
516C2×D4—444no—
517C2×D4—444no—
518C2×D4—444no—
519C2×D4—444no—
520C2×D4(C2×D11)⋊C4116yescomplemented
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—216no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—416no—
534C22×C4—416no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—114no—
538C22×C4—114no—
539C22×C4—114no—
540C22×C4—114no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—224no—
554C22×C4—224no—
555C22×C4—222no—
556C22×C4C2×C4×D1112yes—
557C22×C4C2×D4412yes—
558C22×C4#433912yes—
559C22×C4#433912yes—
560C22×C4D4×D1114yes—
561C22×C4C2×C22⋊D1112yes—
562C22×C4C2×C22⋊D1114yes—
563C22×C4C2×C22⋊D1112yes—
564C22×C4C2×C22⋊D1112yes—
565C22×C4C2×C22⋊D1112yes—
566C22×C4C2×C22⋊D1112yes—
567C4⋊C4—28no—
568C4⋊C4—444no—
569C22⋊C4—216no—
570C22⋊C4—4416no—
571C22⋊C4—448no—
572C22⋊C4—4416no—
573C22⋊C4—448no—
574C42—28no—
575C42—228no—
576C42—444no—
577C11#1402511yescharacteristic, complemented, Sylow
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—28no—
588C23—28no—
589C23—24no—
590C23—44no—
591C23—42no—
592C23—44no—
593C23—42no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—42no—
598C23—42no—
599C23—44no—
600C23—224no—
601C23—224no—
602C23—224no—
603C23—228no—
604C23—228no—
605C23—442no—
606C23—442no—
607C23—442no—
608C23—444no—
609C23—444no—
610C23—442no—
611C23—444no—
612C23—444no—
613C23—442no—
614C23—444no—
615C23—444no—
616C23—444no—
617C23—444no—
618C23—444no—
619C23—442no—
620C23—442no—
621C23—444no—
622C23—442no—
623C23C2×(C2×D11)⋊C418yes—
624C23C22×C4×D1111yescharacteristic
625C23C22×D4411yescharacteristic
626C23C2×#433911yescharacteristic
627C23C2×#433911yescharacteristic
628C23C2×D4×D1112yes—
629C23#6703712yes—
630C23#41×D1112yes—
631C23#6704212yes—
632C23C22×C22⋊D1111yescharacteristic
633C23C22×C22⋊D1111yescharacteristic
634C23C22×C22⋊D1111yescharacteristic
635D4—232no—
636D4—4464no—
637D4—4416no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—28no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—432no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—118no—
654C2×C4—224no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—444no—
670C2×C4—444no—
671C2×C4—442no—
672C2×C4C2×(C2×D11)⋊C414yes—
673C2×C4C4×C22⋊D1114yes—
674C2×C4C4×C22⋊D1114yes—
675C2×C4#6698214yes—
676C2×C4#6698314yes—
677C2×C4#6698314yes—
678C2×C4#6699314yescomplemented
679C2×C4#6700614yes—
680C22—216no—
681C22—28no—
682C22—48no—
683C22—48no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—48no—
691C22—448no—
692C22—448no—
693C22—444no—
694C22—444no—
695C22—444no—
696C22—884no—
697C22—882no—
698C22—882no—
699C22—882no—
700C22—882no—
701C22—884no—
702C22C4×D4×D1112yes—
703C22#1062307612yes—
704C22#1062307912yes—
705C22D4×D4412yes—
706C22#1062308412yes—
707C22#1062308512yes—
708C22#1062309012yes—
709C22#1062309312yes—
710C22C22×(C2×D11)⋊C411yescharacteristic
711C22C2×C4×C22⋊D1111yescharacteristic
712C22C2×C4×C22⋊D1111yescharacteristic
713C22C2×#6698211yescharacteristic
714C22C2×#6698311yescharacteristic
715C22C2×#6698311yescharacteristic
716C22D4×C22⋊D1112yes—
717C22D4×C22⋊D1112yes—
718C22C2×#6699311yescharacteristic
719C22#1062333611yescharacteristic
720C22#1062336012yes—
721C22#1062336111yescharacteristic
722C22#1062336311yescharacteristic
723C22#1062336512yes—
724C22C2×#6700611yescharacteristic
725C4—24no—
726C4—42no—
727C4—44no—
728C4—228no—
729C4—444no—
730C4—882no—
731C4#1062282618yescomplemented
732C2—48no—
733C2—884no—
734C2C2×#1062282611yescharacteristic
735C2C4×#6699311yescharacteristic
736C2#1307133811yescharacteristic
737C2D4×(C2×D11)⋊C412yes—
738C2#1307167812yes—
739C2#1307219812yes—
740C2#1307223111yescharacteristic
741C2#1307224911yescharacteristic
742C2#1307237512yes—
743C2#1307356211yescharacteristic
744C2#1307358311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC22×C4×D4×C11C2
socle, cosocleC24×C11C24
prime radicalC22×#66993C2
hypercenterC22×C4×D4D11
hypocenterC11#14025
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
2. C2×#10622834C2semidirect
3. C2×#10622552C2semidirect
4. C2×#10622601C2semidirect
5. C2×#10622826C2semidirect
6. #13066855C2semidirect
7. #13066845C2semidirect
8. C4×C11⋊#95C2semidirect
9. C22×C4×D4×C11C2semidirect
23. C2×#66993C4semidirect
61. C22×C22⋊D11C2×C4semidirect
71. C22×D44C2×C4semidirect
75. C2×C11×C4⋊C4D4semidirect
81. C2×C42×C11D4semidirect
101. C2×C4×Dic11C2×C4semidirect
104. C11⋊#95D4semidirect
135. C2×D4×C11C22⋊C4semidirect
207. C22×C4×D4D11semidirect
295. C2×C4×C11#127semidirect
315. C2×Dic11C4×D4semidirect
392. C4×C11#386semidirect
438. C2×C4⋊C4C22⋊D11semidirect
460. C2×C42C22⋊D11semidirect
520. C2×D4(C2×D11)⋊C4semidirect
577. C11#14025semidirect
678. C2×C4#66993semidirect
731. C4#10622826semidirect

Maximal subgroups

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

subgroupindex
C22×#669932
C2×#106228342
C2×#106225522
C2×#106226012
C2×#106228262
#130668552
#130668452
C4×C11⋊#952
C22×C4×D4×C112
#1402511