Finite Group Databasebeta

← #14675821

Subgroups — #14675821

Order 2816.

2330 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×#10622603C212yesmaximal, complemented
3C2×#10622277C211yesmaximal, characteristic, complemented
4C2×#10622279C211yesmaximal, characteristic, complemented
5#13066858C212yesmaximal, complemented
6#13066856C212yesmaximal
7#13066850C212yesmaximal, complemented
8#13066843C211yesmaximal, characteristic, complemented
9(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
10(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
11C11×C4⋊#95C211yesmaximal, characteristic, complemented
12C23×D44C2211yescharacteristic
13C23×C4×D11C2211yescharacteristic
14C23×C4×D11C2211yescharacteristic
15C22×C11×C4⋊C4C2212yes—
16C22×C42×C11C2211yescharacteristic
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2212yes—
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C22×C4⋊Dic11C2211yescharacteristic
24C22×C4×Dic11C2212yes—
25C2×C4×D44—28no—
26C2×C4×D44C418yescomplemented
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2211yescharacteristic
29C2×C11×#95C2212yes—
30C2×C11⋊#95C2211yescharacteristic
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2211yescharacteristic
37#10622603—28no—
38#10622279—24no—
39#10622277—24no—
40C24×D11C2311yescharacteristic
41C24×D11C2311yescharacteristic
42C23×C4×C11C2312yes—
43C23×C4×C11C2312yes—
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×Dic11C2312yes—
48C23×Dic11C2311yescharacteristic
49C23×Dic11C2312yes—
50C23×Dic11C2311yescharacteristic
51C22×D44—24no—
52C22×D44—24no—
53C22×D44—22no—
54C22×D44—22no—
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×C11×C4⋊C4—24no—
67C2×C11×C4⋊C4—24no—
68C2×C11×C4⋊C4—42no—
69C2×C42×C11—24no—
70C2×C42×C11C2×C414yes—
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—24no—
78C2×(C2×D11)⋊C4—24no—
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4—42no—
81C2×(C2×D11)⋊C4—42no—
82C2×(C2×D11)⋊C4—42no—
83C2×(C2×D11)⋊C4—42no—
84C2×(C2×D11)⋊C4C2×C414yes—
85C2×(C2×D11)⋊C4C2×C414yes—
86C2×(C2×D11)⋊C4D418yes—
87C2×C4⋊Dic11—24no—
88C2×C4⋊Dic11C2×C414yes—
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#13886—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—21no—
116C23×D11—21no—
117C23×D11—21no—
118C23×D11—21no—
119C23×D11—22no—
120C23×D11—22no—
121C23×D11—21no—
122C23×D11—21no—
123C23×D11C22×C412yes—
124C23×D11C22×C412yes—
125C23×D11C2×D414yes—
126C23×D11#4114yes—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—21no—
132C22×C4×C11—22no—
133C22×C4×C11—21no—
134C22×C4×C11—22no—
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×C11C22×C412yes—
148C22×C4×C11C22×C412yes—
149C22×C4×C11C22×C412yes—
150C22×C4×C11C2×D414yes—
151C22×C4×C11C2×D412yes—
152C22×C4×C11#4114yes—
153C22×C4×C11#4112yes—
154C22×C4×C11#4112yes—
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—21no—
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×Dic11C22×C412yes—
177C22×Dic11C22×C412yes—
178C22×Dic11C2×D414yes—
179C22×Dic11C2×D414yes—
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—
195C11×C4⋊C4—48no—
196C42×C11—28no—
197(C2×D11)⋊C4—216no—
198(C2×D11)⋊C4—28no—
199(C2×D11)⋊C4—48no—
200(C2×D11)⋊C4—48no—
201(C2×D11)⋊C4—48no—
202(C2×D11)⋊C4C22⋊C4116yescomplemented
203C4⋊Dic11—28no—
204C4×Dic11—48no—
205C22×C4×D4—111no—
206C2×#388—112no—
207C2×#381—111no—
208C2×C4×C22⋊C4—111no—
209#1439—112no—
210#1438—112no—
211#1436—112no—
212C4⋊#95D1111yescharacteristic, complemented
213#1434—111no—
214C22⋊#95—111no—
215C22⋊#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)11yescharacteristic
225C23×C11H(5,𝔽2)12yes—
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—24no—
245C22×D11—24no—
246C22×D11—24no—
247C22×D11—24no—
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—42no—
252C22×D11—42no—
253C22×D11—42no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—42no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—42no—
270C22×D11—42no—
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—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
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—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
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⋊C4C2×D1112yes—
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—
346C4×C22⋊C4—224no—
347C2×#95—111no—
348C2×#95—111no—
349C2×#95—112no—
350C2×#95—112no—
351C2×#95—112no—
352C2×#95—112no—
353C2×#95—112no—
354C2×#95C2×D1111yescharacteristic
355C2×#95C2×D1111yescharacteristic
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#52512yes—
367C22×C11#52912yes—
368C22×C11#53812yes—
369C22×C11#53912yes—
370C22×C11D4212yes—
371C22×C11#54612yes—
372C22×C11#54612yes—
373C22×C11#54711yescharacteristic
374C22×C11#54712yes—
375C22×C11#55011yescharacteristic
376C22×C11#55312yes—
377C22×C11#55511yescharacteristic
378C22×C11#55611yescharacteristic
379C22×C11#55912yes—
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—42no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—44no—
398C2×D11—44no—
399C2×D11—44no—
400C2×D11—44no—
401C2×D11—42no—
402C4×C11—24no—
403C4×C11—24no—
404C4×C11—24no—
405C4×C11—44no—
406C4×C11—82no—
407Dic11—24no—
408Dic11—42no—
409Dic11—44no—
410Dic11—82no—
411C25—111no—
412C25—111no—
413C22×D4—114no—
414C22×D4—224no—
415C22×D4—224no—
416C22×D4—222no—
417C22×D4—222no—
418C23×C4—111no—
419C23×C4—112no—
420C23×C4—111no—
421C23×C4—114no—
422C23×C4—114no—
423C23×C4—112no—
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—24no—
439C2×C4⋊C4—24no—
440C2×C4⋊C4—42no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—224no—
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—22no—
465#95—22no—
466#95—24no—
467#95—114no—
468#95—224no—
469#95—224no—
470#95—224no—
471#95—224no—
472#95—222no—
473#95—442no—
474C2×C11#228011yescharacteristic
475C2×C11#229011yescharacteristic
476C2×C11#231811yescharacteristic
477C2×C11D4×C22⋊C411yescharacteristic
478C2×C11#233911yescharacteristic
479C2×C11#235411yescharacteristic
480C2×C11#235711yescharacteristic
481C2×C11#245512yes—
482C2×C11#245612yes—
483C2×C11#245912yes—
484C2×C11#246612yes—
485D11—44no—
486D11—44no—
487C24—112no—
488C24—112no—
489C24—114no—
490C24—114no—
491C24—222no—
492C24—222no—
493C24—221no—
494C24—221no—
495C24—222no—
496C24—221no—
497C24—221no—
498C24—221no—
499C24—221no—
500C24—221no—
501C24—221no—
502C24—221no—
503C24—221no—
504C24—221no—
505C24—221no—
506C24—222no—
507C24—222no—
508C24—222no—
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—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—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—112no—
536C22×C4—114no—
537C22×C4—112no—
538C22×C4—114no—
539C22×C4—228no—
540C22×C4—228no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4—222no—
544C22×C4—222no—
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—228no—
555C22×C4—228no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—444no—
564C22×C4—444no—
565C22×C4—448no—
566C22×C4—448no—
567C22×C4—448no—
568C22×C4—448no—
569C22×C4C2×C4×D1112yes—
570C22×C4C2×C4×D1112yes—
571C22×C4C2×C4×D1112yes—
572C22×C4#433914yes—
573C22×C4D4×D1114yes—
574C22×C4D4×D1112yes—
575C22×C4#434112yes—
576C22×C4#434312yes—
577C22×C4#434312yes—
578C4⋊C4—48no—
579C4⋊C4—228no—
580C22⋊C4—1116no—
581C22⋊C4—2216no—
582C22⋊C4—228no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C22⋊C4—448no—
586C42—28no—
587C42—448no—
588C11#1388611yescharacteristic, complemented, Sylow
589C23—114no—
590C23—114no—
591C23—222no—
592C23—222no—
593C23—222no—
594C23—224no—
595C23—222no—
596C23—222no—
597C23—222no—
598C23—222no—
599C23—222no—
600C23—222no—
601C23—224no—
602C23—222no—
603C23—222no—
604C23—222no—
605C23—224no—
606C23—224no—
607C23—224no—
608C23—224no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—442no—
624C23—442no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23—442no—
629C23—442no—
630C23—442no—
631C23—442no—
632C23—442no—
633C23—442no—
634C23—442no—
635C23C22×C4×D1111yescharacteristic
636C23C2×#433912yes—
637C23C2×D4×D1111yescharacteristic
638C23C2×D4×D1112yes—
639C23C2×#434111yescharacteristic
640C23#6703711yescharacteristic
641C23C2×#434311yescharacteristic
642C23C2×#434311yescharacteristic
643C23#6704011yescharacteristic
644C23#41×D1112yes—
645C23#6704212yes—
646D4—2232no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—24no—
661C2×C4—24no—
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—4416no—
685C2×C4—4416no—
686C2×C4—442no—
687C2×C4—442no—
688C2×C4—442no—
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×C4C22⋊C4×D1114yes—
700C2×C4#6694514yes—
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—444no—
715C22—444no—
716C22—442no—
717C22—444no—
718C22—444no—
719C22—442no—
720C22—442no—
721C22—442no—
722C22—442no—
723C22—442no—
724C22C4×#433911yescharacteristic
725C22C2×C22⋊C4×D1111yescharacteristic
726C22#1062302112yes—
727C22C2×#6694511yescharacteristic
728C22C2×#6694611yescharacteristic
729C22#1062303511yescharacteristic
730C22#1062303812yes—
731C22D11×#11711yescharacteristic
732C22#1062305211yescharacteristic
733C22#1062307812yes—
734C22#1062309612yes—
735C22#1062311112yes—
736C22#1062311612yes—
737C22#1062313712yes—
738C22#1062314012yes—
739C22#1062315812yes—
740C22#1062316112yes—
741C22#1062320912yes—
742C22#1062322312yes—
743C22#1062324911yescharacteristic
744C22#1062325711yescharacteristic
745C22#1062326311yescharacteristic
746C22#1062326511yescharacteristic
747C4—24no—
748C4—24no—
749C4—24no—
750C4—44no—
751C4—82no—
752C4—224no—
753C4—442no—
754C4—444no—
755C4—882no—
756C2—444no—
757C2—444no—
758C2#1307099811yescharacteristic
759C2#1307105711yescharacteristic
760C2#1307125211yescharacteristic
761C2#1307143611yescharacteristic
762C2#1307144311yescharacteristic
763C2#1307156711yescharacteristic
764C2#1307158711yescharacteristic
765C2#1307250012yes—
766C2#1307251412yes—
767C2#1307256012yes—
768C2#1307265712yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×C4⋊#95C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenterC4⋊#95D11
hypocenterC11#13886
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#10622603C2semidirect
3. C2×#10622277C2semidirect
4. C2×#10622279C2semidirect
5. #13066858C2semidirect
7. #13066850C2semidirect
8. #13066843C2semidirect
9. (C2×D11)⋊#95C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×C4⋊#95C2semidirect
26. C2×C4×D44C4semidirect
102. C11⋊#95D4semidirect
202. (C2×D11)⋊C4C22⋊C4semidirect
212. C4⋊#95D11semidirect
588. C11#13886semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D442
C2×#106226032
C2×#106222772
C2×#106222792
#130668582
#130668562
#130668502
#130668432
(C2×D11)⋊#952
C11×C4⋊#952
#1388611