Finite Group Databasebeta

← #14676067

Subgroups — #14676067

Order 2816.

2314 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×#10622282C212yesmaximal, complemented
3C2×#10622277C211yesmaximal, characteristic, complemented
4C2×#10622280C211yesmaximal, characteristic, complemented
5#13066868C212yesmaximal, complemented
6#13066856C212yesmaximal
7#13066852C212yesmaximal, complemented
8(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
9(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
10C4×C11⋊#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)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C22×Dic11⋊C4C2212yes—
24C22×C4×Dic11C2212yes—
25C2×C4×D44—28no—
26C2×C4×D44C418yescomplemented
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2211yescharacteristic
29C2×C11×#95C2212yes—
30C2×C11×#95C2212yes—
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2211yescharacteristic
37#10622282—28no—
38#10622280—24no—
39#10622277—24no—
40C24×D11C2311yescharacteristic
41C24×D11C2311yescharacteristic
42C23×C4×C11C2312yes—
43C23×C4×C11C2312yes—
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×Dic11C2311yescharacteristic
48C23×Dic11C2312yes—
49C23×Dic11C2312yes—
50C23×Dic11C2311yescharacteristic
51C22×D44—24no—
52C22×D44—22no—
53C22×D44—22no—
54C22×D44—24no—
55C22×D44C2×C414yes—
56C22×C4×D11—24no—
57C22×C4×D11—22no—
58C22×C4×D11—22no—
59C22×C4×D11—22no—
60C22×C4×D11—22no—
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—42no—
78C2×(C2×D11)⋊C4—42no—
79C2×(C2×D11)⋊C4—42no—
80C2×(C2×D11)⋊C4—42no—
81C2×(C2×D11)⋊C4C2×C414yes—
82C2×(C2×D11)⋊C4C2×C414yes—
83C2×(C2×D11)⋊C4D418yes—
84C2×C4⋊Dic11—24no—
85C2×C4⋊Dic11C2×C414yes—
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—22no—
94C11×#95—22no—
95C11×#95—24no—
96C11×#95—24no—
97C11⋊#95—24no—
98C11⋊#95—22no—
99C11⋊#95—24no—
100C11⋊#95—24no—
101C11⋊#95—42no—
102C11⋊#95D414yescomplemented
103#13912—111nomaximal, Sylow
104C24×C11C2411yescharacteristic
105C23×D11—21no—
106C23×D11—21no—
107C23×D11—22no—
108C23×D11—22no—
109C23×D11—22no—
110C23×D11—21no—
111C23×D11—21no—
112C23×D11—22no—
113C23×D11—21no—
114C23×D11—21no—
115C23×D11—22no—
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×D11C2×D414yes—
125C23×D11#4112yes—
126C23×D11#4112yes—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—21no—
131C22×C4×C11—21no—
132C22×C4×C11—21no—
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—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×C11C22×C412yes—
150C22×C4×C11C22×C412yes—
151C22×C4×C11C22×C412yes—
152C22×C4×C11C2×D414yes—
153C22×C4×C11C2×D412yes—
154C22×C4×C11#4114yes—
155C22×C4×C11#4112yes—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—21no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—21no—
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—28no—
197(C2×D11)⋊C4—48no—
198(C2×D11)⋊C4—48no—
199(C2×D11)⋊C4—48no—
200(C2×D11)⋊C4—48no—
201(C2×D11)⋊C4C22⋊C4116yescomplemented
202C4⋊Dic11—28no—
203Dic11⋊C4—48no—
204C4×Dic11—48no—
205C22×C4×D4—111no—
206C2×#388—112no—
207C2×#381—111no—
208C2×#380—111no—
209#1441—112no—
210#1438—112no—
211#1437—112no—
212#1434D1111yescharacteristic, complemented
213C22⋊#95—111no—
214C22⋊#95—111no—
215C4×#95—111no—
216C23×C11C23×C411yescharacteristic
217C23×C11C22×D412yes—
218C23×C11C22×D411yescharacteristic
219C23×C11C2×#4112yes—
220C23×C11C2×#4111yescharacteristic
221C23×C11C2×#4111yescharacteristic
222C23×C11C2×#4111yescharacteristic
223C23×C11C2×#4112yes—
224C23×C11H(5,𝔽2)12yes—
225C23×C11H(5,𝔽2)11yescharacteristic
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—22no—
245C22×D11—24no—
246C22×D11—24no—
247C22×D11—24no—
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—42no—
262C22×D11—42no—
263C22×D11—42no—
264C22×D11—41no—
265C22×D11—42no—
266C22×D11—41no—
267C22×D11—42no—
268C22×D11—41no—
269C22×D11—42no—
270C22×D11—41no—
271C22×D11C2×C22⋊C414yes—
272C22×D11#11714yes—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
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—24no—
284C2×C4×C11—24no—
285C2×C4×C11—42no—
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×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11C2×C22⋊C414yes—
300C2×C4×C11#11714yes—
301C2×C4×C11C4×D414yes—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
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×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#388—228no—
345#381—224no—
346#380—224no—
347C2×#95—111no—
348C2×#95—111no—
349C2×#95—112no—
350C2×#95—112no—
351C2×#95—112no—
352C2×#95—112no—
353C2×#95C2×D1111yescharacteristic
354C2×#95C2×D1111yescharacteristic
355C2×#95C2×D1112yes—
356C2×#95C2×D1112yes—
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#52912yes—
367C22×C11#53212yes—
368C22×C11#54012yes—
369C22×C11#54212yes—
370C22×C11D4212yes—
371C22×C11#54612yes—
372C22×C11#54612yes—
373C22×C11#54611yescharacteristic
374C22×C11#54712yes—
375C22×C11#54811yescharacteristic
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—44no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—44no—
398C2×D11—44no—
399C2×D11—44no—
400C2×D11—42no—
401C2×D11—42no—
402C4×C11—24no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11—82no—
406C4×C11—82no—
407Dic11—24no—
408Dic11—42no—
409Dic11—44no—
410Dic11—44no—
411C25—111no—
412C25—111no—
413C22×D4—114no—
414C22×D4—224no—
415C22×D4—222no—
416C22×D4—222no—
417C22×D4—224no—
418C23×C4—111no—
419C23×C4—112no—
420C23×C4—112no—
421C23×C4—111no—
422C23×C4—114no—
423C23×C4—114no—
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×D1112yes—
434C23×C4C22×D1111yescharacteristic
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1111yescharacteristic
437C4×D4—2232no—
438C2×C4⋊C4—114no—
439C2×C4⋊C4—224no—
440C2×C4⋊C4—224no—
441C2×C4⋊C4—224no—
442C2×C4⋊C4—442no—
443C2×C22⋊C4—114no—
444C2×C22⋊C4—118no—
445C2×C22⋊C4—114no—
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—24no—
465#95—22no—
466#95—22no—
467#95—24no—
468#95—114no—
469#95—224no—
470#95—224no—
471#95—224no—
472#95—222no—
473#95—442no—
474C2×C11#228011yescharacteristic
475C2×C11#229311yescharacteristic
476C2×C11#231911yescharacteristic
477C2×C11D4×C22⋊C411yescharacteristic
478C2×C11#233911yescharacteristic
479C2×C11#235211yescharacteristic
480C2×C11#235311yescharacteristic
481C2×C11#245712yes—
482C2×C11#246112yes—
483C2×C11#246412yes—
484C2×C11#246812yes—
485D11—44no—
486D11—44no—
487C24—112no—
488C24—112no—
489C24—114no—
490C24—112no—
491C24—112no—
492C24—222no—
493C24—222no—
494C24—221no—
495C24—221no—
496C24—222no—
497C24—221no—
498C24—221no—
499C24—222no—
500C24—222no—
501C24—221no—
502C24—221no—
503C24—221no—
504C24—221no—
505C24—222no—
506C24—222no—
507C24—221no—
508C24—221no—
509C24C23×D1111yescharacteristic
510C2×D4—228no—
511C2×D4—228no—
512C2×D4—2216no—
513C2×D4—2216no—
514C2×D4—228no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—21no—
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—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—112no—
538C22×C4—114no—
539C22×C4—112no—
540C22×C4—114no—
541C22×C4—114no—
542C22×C4—228no—
543C22×C4—228no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—221no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—221no—
555C22×C4—222no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—228no—
564C22×C4—228no—
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×C4#433914yes—
575C22×C4D4×D1114yes—
576C22×C4D4×D1112yes—
577C22×C4#434312yes—
578C4⋊C4—228no—
579C4⋊C4—448no—
580C22⋊C4—1116no—
581C22⋊C4—228no—
582C22⋊C4—448no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C22⋊C4—448no—
586C42—28no—
587C42—448no—
588C11#1391211yescharacteristic, 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—224no—
608C23—224no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—222no—
614C23—222no—
615C23—222no—
616C23—222no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23—442no—
629C23—442no—
630C23—442no—
631C23—441no—
632C23—441no—
633C23—441no—
634C23—441no—
635C23C22×C4×D1111yescharacteristic
636C23C2×#433912yes—
637C23C2×D4×D1112yes—
638C23C2×D4×D1111yescharacteristic
639C23C2×#434311yescharacteristic
640C23#41×D1111yescharacteristic
641C23#41×D1112yes—
642C23#41×D1111yescharacteristic
643C23#6704212yes—
644C23#6704211yescharacteristic
645C23#6704311yescharacteristic
646D4—2232no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—42no—
660C2×C4—42no—
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—114no—
674C2×C4—222no—
675C2×C4—222no—
676C2×C4—224no—
677C2×C4—224no—
678C2×C4—224no—
679C2×C4—222no—
680C2×C4—222no—
681C2×C4—222no—
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#6692514yes—
700C2×C4C22⋊C4×D1114yes—
701C2×C4#6694614yes—
702C22—224no—
703C22—224no—
704C22—224no—
705C22—224no—
706C22—224no—
707C22—224no—
708C22—444no—
709C22—444no—
710C22—442no—
711C22—442no—
712C22—444no—
713C22—444no—
714C22—442no—
715C22—442no—
716C22—442no—
717C22—442no—
718C22—444no—
719C22—444no—
720C22—442no—
721C22—442no—
722C22—444no—
723C22—444no—
724C22C2×#6692511yescharacteristic
725C22C2×C22⋊C4×D1111yescharacteristic
726C22C2×#6694611yescharacteristic
727C22D11×#11711yescharacteristic
728C22#1062305211yescharacteristic
729C22#1062305311yescharacteristic
730C22#1062305411yescharacteristic
731C22#1062306512yes—
732C22#1062306612yes—
733C22#1062307812yes—
734C22#1062307812yes—
735C22#1062307912yes—
736C22#1062311112yes—
737C22#1062314012yes—
738C22#1062316112yes—
739C22#1062318512yes—
740C22#1062318612yes—
741C22#1062320711yescharacteristic
742C22#1062320811yescharacteristic
743C22#1062322511yescharacteristic
744C22#1062322611yescharacteristic
745C22#1062323612yes—
746C22#1062324012yes—
747C4—24no—
748C4—24no—
749C4—24no—
750C4—82no—
751C4—82no—
752C4—224no—
753C4—442no—
754C4—444no—
755C4—444no—
756C2—444no—
757C2—444no—
758C2#1307099711yescharacteristic
759C2#1307107711yescharacteristic
760C2#1307126011yescharacteristic
761C2#1307143611yescharacteristic
762C2#1307144011yescharacteristic
763C2#1307154211yescharacteristic
764C2#1307154911yescharacteristic
765C2#1307252512yes—
766C2#1307258512yes—
767C2#1307262412yes—
768C2#1307268412yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1434C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenter#1434D11
hypocenterC11#13912
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
2. C2×#10622282C2semidirect
3. C2×#10622277C2semidirect
4. C2×#10622280C2semidirect
5. #13066868C2semidirect
7. #13066852C2semidirect
8. (C2×D11)⋊#95C2semidirect
9. (C2×D11)⋊#95C2semidirect
10. C4×C11⋊#95C2semidirect
11. C11×#1434C2semidirect
26. C2×C4×D44C4semidirect
102. C11⋊#95D4semidirect
201. (C2×D11)⋊C4C22⋊C4semidirect
212. #1434D11semidirect
588. C11#13912semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D442
C2×#106222822
C2×#106222772
C2×#106222802
#130668682
#130668562
#130668522
(C2×D11)⋊#952
C4×C11⋊#952
C11×#14342
#1391211