Finite Group Databasebeta

← #14675376

Subgroups — #14675376

Order 2816.

2390 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622834C211yesmaximal, characteristic
2C2×#10622833C211yesmaximal, characteristic
3C2×C22⋊C4×Dic11C212yesmaximal, complemented
4C2×C4×C22⋊Dic11C212yesmaximal, complemented
5#13066853C212yesmaximal, complemented
6#13066853C212yesmaximal, complemented
7#13066850C212yesmaximal, complemented
8#95×Dic11C212yesmaximal, complemented
9C2×C11×#386C211yesmaximal, characteristic
10C23×D4×C11C2211yescharacteristic
11C24×C4×C11C2211yescharacteristic
12C24×Dic11C2211yescharacteristic
13C22×C11×C22⋊C4C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic11C2212yes—
16C22×C22⋊Dic11C2212yes—
17C22×C22⋊Dic11C2212yes—
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C4⋊Dic11C2211yescharacteristic
20C22×C4×Dic11C2212yes—
21C22×C4×Dic11C2212yes—
22C22×C4×Dic11C2212yes—
23C22×C4×Dic11C2211yescharacteristic
24C11×#386C418yescomplemented
25C2×C11×#95C2212yes—
26#10622834C418yescomplemented
27#10622833C418yescomplemented
28C4×C22⋊Dic11—28no—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C22⋊C4×Dic11—28no—
36C25×C11C2311yescharacteristic
37C25×C11C2311yescharacteristic
38C22×D4×C11—41no—
39C22×D4×C11—41no—
40C22×D4×C11—41no—
41C22×D4×C11—41no—
42C22×D4×C11C2×C414yes—
43C22×D4×C11C2×C414yes—
44C22×D4×C11C2×C414yes—
45C23×C4×C11—24no—
46C23×C4×C11—24no—
47C23×C4×C11—41no—
48C23×C4×C11—41no—
49C23×C4×C11C2×C414yescomplemented
50C23×C4×C11C2312yes—
51C23×C4×C11C2311yescharacteristic
52C23×C4×C11C2312yes—
53C23×Dic11—24no—
54C23×Dic11—24no—
55C23×Dic11—41no—
56C23×Dic11—41no—
57C23×Dic11C2×C414yescomplemented
58C23×Dic11C2312yes—
59C23×Dic11C2312yes—
60C23×Dic11C2312yes—
61C23×Dic11C2312yes—
62C2×C11×C22⋊C4—24no—
63C2×C11×C22⋊C4—24no—
64C2×C11×C22⋊C4—41no—
65C2×C11×C22⋊C4—41no—
66C2×C11×C22⋊C4C2×C418yes—
67C2×C11×C22⋊C4C2×C414yescomplemented
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—24no—
70C2×C22⋊Dic11—24no—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—24no—
73C2×C22⋊Dic11—24no—
74C2×C22⋊Dic11—41no—
75C2×C22⋊Dic11—41no—
76C2×C22⋊Dic11C2×C418yes—
77C2×C22⋊Dic11C2×C418yescomplemented
78C2×C22⋊Dic11C2×C418yescomplemented
79C2×C22⋊Dic11C2×C414yescomplemented
80C2×C4⋊Dic11—41no—
81C2×C4⋊Dic11—41no—
82C2×C4⋊Dic11C2×C414yescomplemented
83C2×C4×Dic11—24no—
84C2×C4×Dic11—24no—
85C2×C4×Dic11—24no—
86C2×C4×Dic11—24no—
87C2×C4×Dic11—24no—
88C2×C4×Dic11—24no—
89C2×C4×Dic11—41no—
90C2×C4×Dic11—41no—
91C2×C4×Dic11—42no—
92C2×C4×Dic11—42no—
93C2×C4×Dic11—42no—
94C2×C4×Dic11C2×C414yescomplemented
95C11×#95C2×C418yescomplemented
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95—24no—
99C11⋊#95—42no—
100C11⋊#95C2×C418yescomplemented
101C11⋊#95D418yescomplemented
102#13824—111nomaximal, Sylow
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—22no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—21no—
112C24×C11—21no—
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—21no—
116C24×C11—21no—
117C24×C11—21no—
118C24×C11—21no—
119C24×C11C22×C412yes—
120C24×C11C22×C412yes—
121C24×C11C22×C412yes—
122C24×C11C22×C412yes—
123C24×C11C22×C412yes—
124C24×C11C22×C412yes—
125C24×C11C2411yescharacteristic
126C2×D4×C11—44no—
127C2×D4×C11—44no—
128C2×D4×C11—44no—
129C2×D4×C11—44no—
130C2×D4×C11—44no—
131C2×D4×C11—44no—
132C2×D4×C11C42116yescomplemented
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—21no—
138C22×C4×C11—21no—
139C22×C4×C11—21no—
140C22×C4×C11—21no—
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—216no—
148C22×C4×C11—44no—
149C22×C4×C11—44no—
150C22×C4×C11—48no—
151C22×C4×C11—44no—
152C22×C4×C11C22×C414yes—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C22×C414yes—
157C22×C4×C11C2×D414yes—
158C22×C4×C11#4114yes—
159C22×Dic11—216no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
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×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—44no—
181C22×Dic11—44no—
182C22×Dic11—48no—
183C22×Dic11—44no—
184C22×Dic11C22×C414yes—
185C22×Dic11C22×C414yes—
186C22×Dic11C22×C414yes—
187C22×Dic11C22×C414yes—
188C22×Dic11C2×D414yes—
189C22×Dic11C2×D414yes—
190C22×Dic11#4114yes—
191C22×Dic11#4114yes—
192C11×C22⋊C4—216no—
193C11×C22⋊C4—44no—
194C22⋊Dic11—216no—
195C22⋊Dic11—216no—
196C22⋊Dic11—216no—
197C22⋊Dic11—44no—
198C4⋊Dic11—44no—
199C4×Dic11—44no—
200C4×Dic11—48no—
201C4×Dic11—48no—
202C4×Dic11—48no—
203C2×#390—111no—
204C2×#386—111no—
205C2×#386D1111yescharacteristic
206C2×C4×C22⋊C4—112no—
207C2×C4×C22⋊C4—112no—
208#1437—112no—
209#1437—112no—
210#1436—112no—
211C4×#95—112no—
212C23×C11—24no—
213C23×C11—24no—
214C23×C11—24no—
215C23×C11—24no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—24no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—22no—
227C23×C11—22no—
228C23×C11—22no—
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—41no—
237C23×C11—41no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—42no—
249C23×C11—42no—
250C23×C11—42no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11C2×C4214yes—
257C23×C11C2×C4214yes—
258C23×C11C23×C411yescharacteristic
259C23×C11C23×C411yescharacteristic
260C23×C11C23×C411yescharacteristic
261C23×C11C22×D412yes—
262C23×C11C2×#4112yes—
263C23×C11C2×#4112yes—
264C23×C11C2×#4112yes—
265C23×C11H(5,𝔽2)11yescharacteristic
266C23×C11H(5,𝔽2)11yescharacteristic
267C23×C11H(5,𝔽2)11yescharacteristic
268C23×C11H(5,𝔽2)11yescharacteristic
269D4×C11—416no—
270C2×C4×C11—24no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—24no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—416no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—42no—
290C2×C4×C11C2×C4214yes—
291C2×C4×C11C4×D418yes—
292C2×Dic11—24no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
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—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—416no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11C4×D418yes—
320C2×Dic11C4×D418yes—
321C23×D4C2×D1111yescharacteristic
322C24×C4—111no—
323C24×C4C2×D1111yescharacteristic
324C22×C4⋊C4—111no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—111no—
329C22×C22⋊C4C2×D1112yes—
330C22×C22⋊C4C2×D1111yescharacteristic
331C22×C42—111no—
332C22×C42—112no—
333C22×C42—112no—
334C22×C42—112no—
335#390—118no—
336#386—118no—
337#386Dic1118yescomplemented
338C4×C22⋊C4—228no—
339C4×C22⋊C4—228no—
340C2×#95—112no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—112no—
344C2×#95—112no—
345C2×#95—112no—
346C2×#95C2×D1112yes—
347C22×C11—28no—
348C22×C11—28no—
349C22×C11—24no—
350C22×C11—24no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—44no—
356C22×C11—44no—
357C22×C11—44no—
358C22×C11—44no—
359C22×C11—44no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11C22×C4211yescharacteristic
370C22×C11C2×C4×D412yes—
371C22×C11C2×C4×D412yes—
372C22×C11C2×C4×D412yes—
373C22×C11C4×#4112yes—
374C22×C11C4×#4112yes—
375C22×C11C4×#4112yes—
376C22×C11#51811yescharacteristic
377C22×C11#51811yescharacteristic
378C22×C11#51811yescharacteristic
379C22×C11#51811yescharacteristic
380C22×C11#51811yescharacteristic
381C22×C11#51811yescharacteristic
382C22×C11D4211yescharacteristic
383C22×C11#54612yes—
384C22×C11#54612yes—
385C22×C11#55012yes—
386C22×C11#55111yescharacteristic
387C22×C11#55111yescharacteristic
388C22×C11#55312yes—
389C22×C11#55312yes—
390C22×C11#55512yes—
391C22×C11#55911yescharacteristic
392C4×C11—28no—
393C4×C11—24no—
394C4×C11—44no—
395Dic11—28no—
396Dic11—28no—
397Dic11—44no—
398Dic11—44no—
399C25C22×D1111yescharacteristic
400C25C22×D1111yescharacteristic
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4—41no—
405C22×D4C4×D1114yes—
406C22×D4C4×D1114yes—
407C22×D4C2×Dic1114yes—
408C23×C4—24no—
409C23×C4—24no—
410C23×C4—41no—
411C23×C4—41no—
412C23×C4—112no—
413C23×C4—112no—
414C23×C4—112no—
415C23×C4—112no—
416C23×C4—114no—
417C23×C4—224no—
418C23×C4—224no—
419C23×C4—441no—
420C23×C4—441no—
421C23×C4C2×Dic1114yescomplemented
422C23×C4C22×D1112yes—
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1112yes—
425C2×C4⋊C4—114no—
426C2×C4⋊C4—441no—
427C2×C4⋊C4—441no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—24no—
430C2×C22⋊C4—41no—
431C2×C22⋊C4—41no—
432C2×C22⋊C4—118no—
433C2×C22⋊C4—118no—
434C2×C22⋊C4—118no—
435C2×C22⋊C4—114no—
436C2×C22⋊C4—224no—
437C2×C22⋊C4—224no—
438C2×C22⋊C4—224no—
439C2×C22⋊C4—224no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—441no—
443C2×C22⋊C4—441no—
444C2×C22⋊C4C2×Dic1118yes—
445C2×C22⋊C4C2×Dic1114yescomplemented
446C2×C42—114no—
447C2×C42—224no—
448C2×C42—224no—
449C2×C42—224no—
450C2×C42—224no—
451C2×C42—224no—
452C2×C42—224no—
453C2×C42—441no—
454C2×C42—441no—
455C2×C42—442no—
456C2×C42—442no—
457C2×C42—442no—
458#95—118no—
459#95—118no—
460#95—224no—
461#95—224no—
462#95—224no—
463#95—442no—
464#95C2×Dic1118yescomplemented
465C2×C11—44no—
466C2×C11—44no—
467C2×C11C42×D412yes—
468C2×C11#227311yescharacteristic
469C2×C11#235811yescharacteristic
470C2×C11#235811yescharacteristic
471C2×C11#236312yes—
472C2×C11#236312yes—
473C2×C11#236412yes—
474C2×C11#236611yescharacteristic
475C2×C11#237211yescharacteristic
476C2×C11#237411yescharacteristic
477C2×C11#237411yescharacteristic
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—21no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24C2×C4×D1112yes—
495C24C2×C4×D1112yes—
496C24C2×C4×D1112yes—
497C24C2×C4×D1112yes—
498C24C22×Dic1112yes—
499C24C22×Dic1112yes—
500C24C23×D1111yescharacteristic
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4C4×Dic11116yescomplemented
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—216no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—114no—
528C22×C4—114no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—114no—
532C22×C4—114no—
533C22×C4—114no—
534C22×C4—114no—
535C22×C4—2216no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
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—222no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—444no—
557C22×C4—444no—
558C22×C4—448no—
559C22×C4—444no—
560C22×C4C2×C4×D1112yes—
561C22×C4C2×C4×D1112yes—
562C22×C4D4×D1114yes—
563C22×C4#434114yes—
564C22×C4C22×Dic1114yes—
565C22×C4C22×Dic1112yes—
566C22×C4C22×Dic1114yes—
567C4⋊C4—444no—
568C22⋊C4—216no—
569C22⋊C4—44no—
570C22⋊C4—2216no—
571C22⋊C4—2216no—
572C22⋊C4—2216no—
573C22⋊C4—444no—
574C42—444no—
575C42—448no—
576C42—448no—
577C42—448no—
578C11#1382411yescharacteristic, complemented, Sylow
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23—41no—
622C23—41no—
623C23C2×C4×Dic1114yes—
624C23C2×C4×Dic1114yes—
625C23C22×C4×D1111yescharacteristic
626C23C22×C4×D1111yescharacteristic
627C23C2×D4×D1112yes—
628C23C2×#434112yes—
629C23#6703711yescharacteristic
630C23#6703711yescharacteristic
631C23#6703711yescharacteristic
632C23#6703711yescharacteristic
633C23#41×D1112yes—
634C23#41×D1112yes—
635C23C23×Dic1111yescharacteristic
636D4—416no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—416no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—118no—
658C2×C4—118no—
659C2×C4—224no—
660C2×C4—224no—
661C2×C4—224no—
662C2×C4—224no—
663C2×C4—224no—
664C2×C4—224no—
665C2×C4—224no—
666C2×C4—224no—
667C2×C4—224no—
668C2×C4—224no—
669C2×C4—224no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—224no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—4416no—
678C2×C4—442no—
679C2×C4—442no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4—442no—
686C2×C4C2×C4×Dic1114yes—
687C2×C4D4×Dic1118yes—
688C22—28no—
689C22—28no—
690C22—24no—
691C22—24no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—44no—
696C22—44no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22#1062301711yescharacteristic
711C22#1062301711yescharacteristic
712C22#1062301711yescharacteristic
713C22#1062301711yescharacteristic
714C22C4×#434112yes—
715C22C4×#434112yes—
716C22C4×D4×D1112yes—
717C22C4×D4×D1112yes—
718C22#1062311811yescharacteristic
719C22#1062312111yescharacteristic
720C22#1062312212yes—
721C22#1062313012yes—
722C22#1062314312yes—
723C22#1062314512yes—
724C22#1062314712yes—
725C22#1062319011yescharacteristic
726C22#1062319212yes—
727C22#1062319511yescharacteristic
728C22C22×C4×Dic1111yescharacteristic
729C22C2×D4×Dic1112yes—
730C22#1062332911yescharacteristic
731C22#1062332911yescharacteristic
732C22#41×Dic1112yes—
733C4—24no—
734C4—28no—
735C4—44no—
736C4—228no—
737C4—228no—
738C4—444no—
739C4—444no—
740C2—44no—
741C2—44no—
742C2C4×D4×Dic1112yes—
743C2#1307096911yescharacteristic
744C2#1307159911yescharacteristic
745C2#1307160011yescharacteristic
746C2#1307165712yes—
747C2#1307165812yes—
748C2#1307166512yes—
749C2#1307167911yescharacteristic
750C2#1307172511yescharacteristic
751C2#1307174911yescharacteristic
752C2#1307175211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC22×C11C22×C42
FittingC2×C11×#386C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC2×#386D11
hypocenterC11#13824
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. C2×C22⋊C4×Dic11C2semidirect
4. C2×C4×C22⋊Dic11C2semidirect
5. #13066853C2semidirect
6. #13066853C2semidirect
7. #13066850C2semidirect
8. #95×Dic11C2semidirect
24. C11×#386C4semidirect
26. #10622834C4semidirect
27. #10622833C4semidirect
49. C23×C4×C11C2×C4semidirect
57. C23×Dic11C2×C4semidirect
67. C2×C11×C22⋊C4C2×C4semidirect
77. C2×C22⋊Dic11C2×C4semidirect
78. C2×C22⋊Dic11C2×C4semidirect
79. C2×C22⋊Dic11C2×C4semidirect
82. C2×C4⋊Dic11C2×C4semidirect
94. C2×C4×Dic11C2×C4semidirect
95. C11×#95C2×C4semidirect
100. C11⋊#95C2×C4semidirect
101. C11⋊#95D4semidirect
132. C2×D4×C11C42semidirect
337. #386Dic11semidirect
421. C23×C4C2×Dic11semidirect
445. C2×C22⋊C4C2×Dic11semidirect
464. #95C2×Dic11semidirect
507. C2×D4C4×Dic11semidirect
578. C11#13824semidirect

Maximal subgroups

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

subgroupindex
C2×#106228342
C2×#106228332
C2×C22⋊C4×Dic112
C2×C4×C22⋊Dic112
#130668532
#130668502
#95×Dic112
C2×C11×#3862
#1382411