Finite Group Databasebeta

← #14683835

Subgroups — #14683835

Order 2816.

2498 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622573C211yesmaximal, characteristic
2C2×#10622826C212yesmaximal, complemented
3C2×#10622278C212yesmaximal, complemented
4C2×#10622569C212yesmaximal, complemented
5#13066876C212yesmaximal, complemented
6#13066862C212yesmaximal, complemented
7#13066861C211yesmaximal, characteristic, complemented
8(C2×D11)⋊#95C212yesmaximal, complemented
9C11×C22⋊#95C211yesmaximal, characteristic, complemented
10C24×C4×C11C2211yescharacteristic
11C23×C22⋊D11C2212yes—
12C23×D44C2211yescharacteristic
13C23×C4×D11C2212yes—
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C11×C22⋊C4C2211yescharacteristic
16C22×C22⋊Dic11C2212yes—
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×C4⋊Dic11C2211yescharacteristic
22C2×C11×#95C2212yes—
23C2×C11×#95C2212yes—
24#10622826—28no—
25C2×C11⋊#95C2212yes—
26C2×C11⋊#95C2212yes—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2211yescharacteristic
31C2×C11⋊#95C2211yescharacteristic
32#10622573C418yescomplemented
33#10622569—28no—
34#10622278—28no—
35C25×C11C2311yescharacteristic
36C24×D11C2312yes—
37C23×C4×C11—22no—
38C23×C4×C11—24no—
39C23×C4×C11—42no—
40C23×C4×C11—41no—
41C23×C4×C11—41no—
42C23×C4×C11C2311yescharacteristic
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2312yes—
46C22×C22⋊D11—24no—
47C22×C22⋊D11—24no—
48C22×C22⋊D11—24no—
49C22×C22⋊D11—24no—
50C22×C22⋊D11—42no—
51C22×C22⋊D11—42no—
52C22×C22⋊D11C2×C418yescomplemented
53C23×Dic11C2312yes—
54C23×Dic11C2312yes—
55C23×Dic11C2312yes—
56C22×D44—24no—
57C22×D44—24no—
58C22×D44—41no—
59C22×D44—41no—
60C22×D44C2×C414yescomplemented
61C22×C4×D11—24no—
62C22×C4×D11—24no—
63C22×C4×D11—24no—
64C22×C4×D11—42no—
65C22×C4×D11—42no—
66C22×C4×D11—42no—
67C22×C4×D11—42no—
68C2×C11×C22⋊C4—41no—
69C2×C11×C22⋊C4—41no—
70C2×C11×C22⋊C4—41no—
71C2×C11×C22⋊C4—41no—
72C2×C11×C22⋊C4C2×C414yescomplemented
73C2×C11×C22⋊C4D414yescomplemented
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11—24no—
76C2×C22⋊Dic11—42no—
77C2×(C2×D11)⋊C4—24no—
78C2×(C2×D11)⋊C4—24no—
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4—24no—
81C2×(C2×D11)⋊C4—42no—
82C2×(C2×D11)⋊C4—42no—
83C2×(C2×D11)⋊C4—42no—
84C2×(C2×D11)⋊C4—42no—
85C2×(C2×D11)⋊C4—42no—
86C2×(C2×D11)⋊C4—42no—
87C2×(C2×D11)⋊C4C2×C418yescomplemented
88C2×(C2×D11)⋊C4D418yescomplemented
89C2×C4⋊Dic11—41no—
90C2×C4⋊Dic11—42no—
91C11×#95—24no—
92C11×#95—42no—
93C11⋊#95—24no—
94C11⋊#95—24no—
95C11⋊#95—24no—
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95—41no—
99C11⋊#95C2×C414yescomplemented
100#14572—111nomaximal, Sylow
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—21no—
105C24×C11—21no—
106C24×C11—21no—
107C24×C11—22no—
108C24×C11—21no—
109C24×C11C22×C412yes—
110C24×C11C2×D412yes—
111C24×C11#4112yes—
112C24×C11C2411yescharacteristic
113C23×D11—22no—
114C23×D11—22no—
115C23×D11—22no—
116C23×D11—22no—
117C23×D11—22no—
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—22no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11C22×C414yes—
126C23×D11C2×D414yes—
127C23×D11#4114yes—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—21no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—21no—
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—21no—
147C22×C4×C11—21no—
148C22×C4×C11—44no—
149C22×C4×C11—48no—
150C22×C4×C11—48no—
151C22×C4×C11—44no—
152C22×C4×C11—44no—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C2×D414yes—
156C22×C4×C11C2×D414yes—
157C2×C22⋊D11—216no—
158C2×C22⋊D11—216no—
159C2×C22⋊D11—48no—
160C2×C22⋊D11—48no—
161C2×C22⋊D11—48no—
162C2×C22⋊D11—48no—
163C2×C22⋊D11—48no—
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—22no—
181C22×Dic11—22no—
182C22×Dic11—22no—
183C22×Dic11C22×C414yes—
184C22×Dic11C2×D414yes—
185C2×D44—216no—
186C2×D44—44no—
187C2×D44—44no—
188C2×D44—48no—
189C2×D44—44no—
190C2×C4×D11—48no—
191C2×C4×D11—48no—
192C2×C4×D11—48no—
193C2×C4×D11—48no—
194C2×C4×D11—48no—
195C2×C4×D11—48no—
196C2×C4×D11—48no—
197C11×C22⋊C4—44no—
198C11×C22⋊C4—44no—
199C22⋊Dic11—48no—
200(C2×D11)⋊C4—48no—
201(C2×D11)⋊C4—48no—
202(C2×D11)⋊C4—48no—
203(C2×D11)⋊C4—48no—
204C4⋊Dic11—44no—
205C2×#392—111no—
206C2×#386—112no—
207C2×#386—112no—
208C2×#386—112no—
209#1443—112no—
210#1439—112no—
211#1439—111no—
212C22⋊#95—112no—
213C22⋊#95D1111yescharacteristic, complemented
214C23×C11—24no—
215C23×C11—22no—
216C23×C11—24no—
217C23×C11—22no—
218C23×C11—22no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—22no—
222C23×C11—24no—
223C23×C11—24no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—42no—
227C23×C11—42no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—41no—
231C23×C11—42no—
232C23×C11—41no—
233C23×C11—41no—
234C23×C11—42no—
235C23×C11—41no—
236C23×C11C4×D414yes—
237C23×C11C23×C411yescharacteristic
238C23×C11C22×D411yescharacteristic
239C23×C11C22×D412yes—
240C23×C11C2×#4111yescharacteristic
241C23×C11C2×#4112yes—
242C23×C11H(5,𝔽2)11yescharacteristic
243C23×C11H(5,𝔽2)12yes—
244C23×C11H(5,𝔽2)11yescharacteristic
245C23×C11H(5,𝔽2)11yescharacteristic
246C23×C11H(5,𝔽2)12yes—
247C23×C112−1+411yescharacteristic
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—24no—
253C22×D11—24no—
254C22×D11—24no—
255C22×D11—24no—
256C22×D11—24no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—24no—
265C22×D11—24no—
266C22×D11—42no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—42no—
273C22×D11—42no—
274C22×D11—42no—
275C22×D11—42no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—42no—
279C22×D11—42no—
280C22×D11—42no—
281C22×D11—42no—
282C22×D11C4×D418yes—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—24no—
292C2×C4×C11—24no—
293C2×C4×C11—416no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—41no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—42no—
305C2×C4×C11—41no—
306C2×C4×C11—42no—
307C2×C4×C11—42no—
308C22⋊D11—432no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
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×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11—42no—
327C2×Dic11—42no—
328C2×Dic11—42no—
329C2×Dic11—42no—
330D44—416no—
331C4×D11—432no—
332C23×D4—112no—
333C23×D4—111no—
334C24×C4—112no—
335C24×C4C2×D1111yescharacteristic
336C22×C4⋊C4—111no—
337C22×C22⋊C4—112no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4C2×D1111yescharacteristic
343C22×C22⋊C4C2×D1111yescharacteristic
344#392—118no—
345#386—228no—
346#386—228no—
347#386—228no—
348C2×#95—111no—
349C2×#95—112no—
350C2×#95—112no—
351C2×#95—112no—
352C2×#95—112no—
353C2×#95—112no—
354C2×#95—111no—
355C2×#95C2×D1112yes—
356C2×#95C2×D1112yes—
357C22×C11—24no—
358C22×C11—28no—
359C22×C11—44no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11—44no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—44no—
367C22×C11—42no—
368C22×C11C2×C4×D411yescharacteristic
369C22×C11C2×C4×D412yes—
370C22×C11#51811yescharacteristic
371C22×C11#51812yes—
372C22×C11#52011yescharacteristic
373C22×C11#53411yescharacteristic
374C22×C11#53412yes—
375C22×C11#53711yescharacteristic
376C22×C11#53712yes—
377C22×C11#53811yescharacteristic
378C22×C11#53812yes—
379C22×C11#53911yescharacteristic
380C22×C11#53912yes—
381C22×C11D4212yes—
382C22×C11D4211yescharacteristic
383C22×C11#54612yes—
384C22×C11#54612yes—
385C22×C11#54612yes—
386C22×C11#55112yes—
387C22×C11#55111yescharacteristic
388C22×C11#56011yescharacteristic
389C22×C11#56012yes—
390C22×C11#56011yescharacteristic
391C2×D11—28no—
392C2×D11—28no—
393C2×D11—28no—
394C2×D11—44no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—44no—
398C2×D11—44no—
399C2×D11—44no—
400C2×D11—44no—
401C2×D11—44no—
402C2×D11—44no—
403C2×D11—44no—
404C2×D11—44no—
405C2×D11—44no—
406C4×C11—42no—
407C4×C11—42no—
408C4×C11—44no—
409C4×C11—44no—
410Dic11—44no—
411Dic11—44no—
412Dic11—82no—
413C25—112no—
414C25C22×D1111yescharacteristic
415C22×D4—118no—
416C22×D4—114no—
417C22×D4—224no—
418C22×D4—224no—
419C22×D4—224no—
420C22×D4—224no—
421C22×D4—224no—
422C22×D4—224no—
423C22×D4—441no—
424C22×D4—441no—
425C22×D4—442no—
426C22×D4—442no—
427C23×C4—22no—
428C23×C4—24no—
429C23×C4—42no—
430C23×C4—41no—
431C23×C4—41no—
432C23×C4—112no—
433C23×C4—112no—
434C23×C4—112no—
435C23×C4—224no—
436C23×C4—224no—
437C23×C4—224no—
438C23×C4—442no—
439C23×C4—442no—
440C23×C4—442no—
441C23×C4—442no—
442C23×C4C22×D1111yescharacteristic
443C23×C4C22×D1111yescharacteristic
444C23×C4C22×D1112yes—
445C23×C4C22×D1112yes—
446C2×C4⋊C4—441no—
447C2×C4⋊C4—442no—
448C2×C22⋊C4—41no—
449C2×C22⋊C4—41no—
450C2×C22⋊C4—41no—
451C2×C22⋊C4—41no—
452C2×C22⋊C4—118no—
453C2×C22⋊C4—118no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—224no—
456C2×C22⋊C4—224no—
457C2×C22⋊C4—224no—
458C2×C22⋊C4—224no—
459C2×C22⋊C4—224no—
460C2×C22⋊C4—442no—
461C2×C22⋊C4—442no—
462C2×C22⋊C4—442no—
463C2×C22⋊C4—442no—
464C2×C22⋊C4—442no—
465C2×C22⋊C4—442no—
466C2×C22⋊C4—442no—
467C2×C22⋊C4C4×D1114yescomplemented
468C2×C22⋊C4D4414yescomplemented
469#95—24no—
470#95—42no—
471#95—114no—
472#95—224no—
473#95—224no—
474#95—224no—
475#95—224no—
476#95—224no—
477#95—441no—
478C2×C11—44no—
479C2×C11#232512yes—
480C2×C11#232511yescharacteristic
481C2×C11#235812yes—
482C2×C11#235811yescharacteristic
483C2×C11#238011yescharacteristic
484C2×C11#266812yes—
485C2×C11#266811yescharacteristic
486C2×C11#267511yescharacteristic
487C2×C11#269311yescharacteristic
488C2×C11#269312yes—
489C2×C11#276011yescharacteristic
490D11—48no—
491C24—22no—
492C24—21no—
493C24—21no—
494C24—21no—
495C24—22no—
496C24—21no—
497C24—22no—
498C24—22no—
499C24—114no—
500C24—114no—
501C24—114no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24—222no—
508C24—222no—
509C24—222no—
510C24—222no—
511C24—222no—
512C24—222no—
513C24—222no—
514C24C2×C4×D1112yes—
515C24C2×D4412yes—
516C24#433912yes—
517C24C23×D1111yescharacteristic
518C2×D4—2216no—
519C2×D4—2216no—
520C2×D4—2216no—
521C2×D4—444no—
522C2×D4—444no—
523C2×D4—448no—
524C2×D4—444no—
525C2×D4—448no—
526C2×D4—448no—
527C2×D4—448no—
528C2×D4—448no—
529C2×D4—448no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—44no—
551C22×C4—48no—
552C22×C4—48no—
553C22×C4—44no—
554C22×C4—44no—
555C22×C4—114no—
556C22×C4—114no—
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—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4—222no—
574C22×C4—222no—
575C22×C4—222no—
576C22×C4—448no—
577C22×C4—448no—
578C22×C4—448no—
579C22×C4—448no—
580C22×C4—448no—
581C22×C4—448no—
582C22×C4—448no—
583C22×C4C2×C4×D1112yes—
584C22×C4C2×C4×D1112yes—
585C22×C4C2×D4414yes—
586C22×C4D4×D1114yes—
587C4⋊C4—444no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—448no—
591C22⋊C4—448no—
592C22⋊C4—448no—
593C22⋊C4—448no—
594C22⋊C4—448no—
595C11#1457211yescharacteristic, complemented, Sylow
596C23—22no—
597C23—24no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—24no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—24no—
608C23—42no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—118no—
619C23—224no—
620C23—224no—
621C23—224no—
622C23—224no—
623C23—224no—
624C23—224no—
625C23—224no—
626C23—224no—
627C23—224no—
628C23—224no—
629C23—224no—
630C23—224no—
631C23—224no—
632C23—224no—
633C23—224no—
634C23—224no—
635C23—224no—
636C23—224no—
637C23—442no—
638C23—442no—
639C23—442no—
640C23—442no—
641C23—442no—
642C23—442no—
643C23—442no—
644C23—442no—
645C23—442no—
646C23—442no—
647C23—442no—
648C23—442no—
649C23—442no—
650C23—442no—
651C23—442no—
652C23—442no—
653C23C4×D4414yes—
654C23C22×C4×D1111yescharacteristic
655C23C22×D4411yescharacteristic
656C23C2×#433911yescharacteristic
657C23C2×D4×D1112yes—
658C23#6703711yescharacteristic
659C23#6703711yescharacteristic
660C23#6703712yes—
661C23#6703711yescharacteristic
662C23#6704011yescharacteristic
663C23#41×D1112yes—
664C23#6704212yes—
665D4—4416no—
666D4—4432no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—416no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—224no—
693C2×C4—224no—
694C2×C4—224no—
695C2×C4—224no—
696C2×C4—224no—
697C2×C4—224no—
698C2×C4—4432no—
699C2×C4—442no—
700C2×C4—442no—
701C2×C4—442no—
702C2×C4—442no—
703C2×C4—442no—
704C2×C4—442no—
705C2×C4—442no—
706C2×C4—442no—
707C2×C4—442no—
708C2×C4—442no—
709C2×C4—442no—
710C2×C4—442no—
711C2×C4—442no—
712C2×C4—442no—
713C2×C4—442no—
714C22—24no—
715C22—28no—
716C22—42no—
717C22—44no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—44no—
722C22—44no—
723C22—42no—
724C22—42no—
725C22—228no—
726C22—228no—
727C22—228no—
728C22—444no—
729C22—444no—
730C22—444no—
731C22—444no—
732C22—444no—
733C22—444no—
734C22—444no—
735C22—444no—
736C22—444no—
737C22—444no—
738C22—444no—
739C22—444no—
740C22C2×C4×D4411yescharacteristic
741C22#1062301711yescharacteristic
742C22#1062302112yes—
743C22#1062302411yescharacteristic
744C22#1062302511yescharacteristic
745C22#1062303511yescharacteristic
746C22#1062304111yescharacteristic
747C22#1062304611yescharacteristic
748C22#1062305812yes—
749C22C4×D4×D1112yes—
750C22#1062307612yes—
751C22D4×D4412yes—
752C22#1062308512yes—
753C22#1062312012yes—
754C22#1062312111yescharacteristic
755C22#1062312611yescharacteristic
756C22#1062314312yes—
757C22#1062315112yes—
758C22#1062316012yes—
759C22#1062316912yes—
760C22#1062318812yes—
761C22#1062319011yescharacteristic
762C22#1062319711yescharacteristic
763C4—44no—
764C4—44no—
765C4—42no—
766C4—42no—
767C4—444no—
768C4—444no—
769C4—882no—
770C2—44no—
771C2—448no—
772C2#1307131312yes—
773C2#1307131911yescharacteristic
774C2#1307159812yes—
775C2#1307159911yescharacteristic
776C2#1307179111yescharacteristic
777C2#1307482212yes—
778C2#1307482411yescharacteristic
779C2#1307490711yescharacteristic
780C2#1307512311yescharacteristic
781C2#1307512512yes—
782C2#1307599311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×C22⋊#95C2
socle, cosocleC24×C11C24
prime radicalC2×#10622573C2
hypercenterC22⋊#95D11
hypocenterC11#14572
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#10622826C2semidirect
3. C2×#10622278C2semidirect
4. C2×#10622569C2semidirect
5. #13066876C2semidirect
6. #13066862C2semidirect
7. #13066861C2semidirect
8. (C2×D11)⋊#95C2semidirect
9. C11×C22⋊#95C2semidirect
32. #10622573C4semidirect
52. C22×C22⋊D11C2×C4semidirect
60. C22×D44C2×C4semidirect
72. C2×C11×C22⋊C4C2×C4semidirect
73. C2×C11×C22⋊C4D4semidirect
87. C2×(C2×D11)⋊C4C2×C4semidirect
88. C2×(C2×D11)⋊C4D4semidirect
99. C11⋊#95C2×C4semidirect
213. C22⋊#95D11semidirect
467. C2×C22⋊C4C4×D11semidirect
468. C2×C22⋊C4D44semidirect
595. C11#14572semidirect

Maximal subgroups

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

subgroupindex
C2×#106225732
C2×#106228262
C2×#106222782
C2×#106225692
#130668762
#130668622
#130668612
(C2×D11)⋊#952
C11×C22⋊#952
#1457211