Finite Group Databasebeta

← #14675909

Subgroups — #14675909

Order 2816.

2546 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D44C211yesmaximal, characteristic
2C2×#10622278C212yesmaximal
3C2×#10622277C211yesmaximal, characteristic, complemented
4C2×D11×#95C211yesmaximal, characteristic, complemented
5#13066885C212yesmaximal, complemented
6#13066864C212yesmaximal, complemented
7#13066843C211yesmaximal, characteristic, complemented
8(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
9(C2×D11)⋊#95C212yesmaximal, complemented
10(C2×D11)⋊#95C211yesmaximal, characteristic, complemented
11C11×#1434C211yesmaximal, characteristic, complemented
12C23×D44C2211yescharacteristic
13C23×C4×D11C2212yes—
14C23×C4×D11C2211yescharacteristic
15C23×C4×D11C2211yescharacteristic
16C22×C42×C11C2211yescharacteristic
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C2×C4×D44—28no—
24C2×C4×D44C418yescomplemented
25C2×C11×#95C2211yescharacteristic
26C2×C11×#95C2212yes—
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2212yes—
29C2×C11⋊#95C2211yescharacteristic
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2211yescharacteristic
37#10622278—28no—
38#10622277—24no—
39D11×#95—24no—
40C24×D11C2311yescharacteristic
41C24×D11C2311yescharacteristic
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2311yescharacteristic
47C23×Dic11C2312yes—
48C23×Dic11C2311yescharacteristic
49C23×Dic11C2311yescharacteristic
50C23×Dic11C2312yes—
51C22×D44—22no—
52C22×D44—24no—
53C22×D44—22no—
54C22×D44C2×C414yes—
55C22×D44D418yes—
56C22×C4×D11—24no—
57C22×C4×D11—24no—
58C22×C4×D11—24no—
59C22×C4×D11—22no—
60C22×C4×D11—22no—
61C22×C4×D11—24no—
62C22×C4×D11—22no—
63C22×C4×D11—22no—
64C22×C4×D11—24no—
65C22×C4×D11—24no—
66C22×C4×D11—24no—
67C22×C4×D11—42no—
68C22×C4×D11—42no—
69C22×C4×D11—42no—
70C22×C4×D11—42no—
71C22×C4×D11C2×C414yes—
72C22×C4×D11C2×C414yescomplemented
73C2×C42×C11—24no—
74C2×C42×C11C2×C414yescomplemented
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—24no—
81C2×(C2×D11)⋊C4—24no—
82C2×(C2×D11)⋊C4—24no—
83C2×(C2×D11)⋊C4—24no—
84C2×(C2×D11)⋊C4—42no—
85C2×(C2×D11)⋊C4—42no—
86C2×(C2×D11)⋊C4C2×C414yes—
87C2×(C2×D11)⋊C4C2×C414yescomplemented
88C2×C4⋊Dic11—24no—
89C2×C4⋊Dic11C2×C414yescomplemented
90C4×D44—232no—
91C11×#95—22no—
92C11×#95—22no—
93C11×#95—24no—
94C11×#95—24no—
95C11⋊#95—24no—
96C11⋊#95—22no—
97C11⋊#95—24no—
98C11⋊#95—24no—
99C11⋊#95—42no—
100C11⋊#95—42no—
101C11⋊#95—42no—
102C11⋊#95D414yescomplemented
103#13894—111nomaximal, Sylow
104C24×C11C2411yescharacteristic
105C23×D11—21no—
106C23×D11—21no—
107C23×D11—22no—
108C23×D11—22no—
109C23×D11—21no—
110C23×D11—21no—
111C23×D11—21no—
112C23×D11—22no—
113C23×D11—21no—
114C23×D11—22no—
115C23×D11—21no—
116C23×D11—21no—
117C23×D11—21no—
118C23×D11—22no—
119C23×D11—21no—
120C23×D11C22×C412yes—
121C23×D11C22×C412yes—
122C23×D11C2×D414yes—
123C23×D11C2×D414yes—
124C23×D11#4112yes—
125C23×D11#4114yes—
126C23×D11#4112yes—
127C22×C4×C11—22no—
128C22×C4×C11—22no—
129C22×C4×C11—21no—
130C22×C4×C11—21no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—21no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—21no—
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—22no—
162C22×Dic11—22no—
163C22×Dic11—21no—
164C22×Dic11—21no—
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×Dic11C22×C412yes—
178C22×Dic11C22×C412yes—
179C22×Dic11C2×D414yes—
180C2×D44—28no—
181C2×D44—28no—
182C2×D44—216no—
183C2×D44—216no—
184C2×D44C22⋊C4116yes—
185C2×C4×D11—216no—
186C2×C4×D11—28no—
187C2×C4×D11—28no—
188C2×C4×D11—28no—
189C2×C4×D11—28no—
190C2×C4×D11—44no—
191C2×C4×D11—44no—
192C2×C4×D11—48no—
193C2×C4×D11—48no—
194C2×C4×D11—48no—
195C2×C4×D11—48no—
196C2×C4×D11—48no—
197C2×C4×D11—48no—
198C2×C4×D11—48no—
199C2×C4×D11—48no—
200C2×C4×D11—48no—
201C2×C4×D11—48no—
202C42×C11—28no—
203(C2×D11)⋊C4—28no—
204(C2×D11)⋊C4—28no—
205(C2×D11)⋊C4—48no—
206(C2×D11)⋊C4—48no—
207(C2×D11)⋊C4—48no—
208C4⋊Dic11—28no—
209C22×C4×D4—111no—
210C2×#386—112no—
211C2×#381—111no—
212C22×#95—111no—
213#1445—112no—
214#1440—112no—
215#1434—111no—
216#1434D1111yescharacteristic, complemented
217C22⋊#95—112no—
218C22⋊#95—111no—
219C22⋊#95—111no—
220C23×C11C23×C411yescharacteristic
221C23×C11C22×D412yes—
222C23×C11C22×D411yescharacteristic
223C23×C11C2×#4112yes—
224C23×C11C2×#4111yescharacteristic
225C23×C11C2×#4112yes—
226C23×C11C2×#4111yescharacteristic
227C23×C11C2×#4111yescharacteristic
228C23×C11H(5,𝔽2)12yes—
229C23×C11H(5,𝔽2)11yescharacteristic
230C23×C112−1+411yescharacteristic
231C22×D11—22no—
232C22×D11—22no—
233C22×D11—22no—
234C22×D11—22no—
235C22×D11—24no—
236C22×D11—24no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—22no—
241C22×D11—24no—
242C22×D11—24no—
243C22×D11—24no—
244C22×D11—22no—
245C22×D11—24no—
246C22×D11—22no—
247C22×D11—24no—
248C22×D11—22no—
249C22×D11—22no—
250C22×D11—22no—
251C22×D11—22no—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—22no—
255C22×D11—24no—
256C22×D11—24no—
257C22×D11—24no—
258C22×D11—24no—
259C22×D11—24no—
260C22×D11—24no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—42no—
268C22×D11—41no—
269C22×D11—42no—
270C22×D11—41no—
271C22×D11C2×C22⋊C414yes—
272C22×D11C2×C22⋊C414yes—
273C22×D11#11714yes—
274C22×D11#11714yes—
275C22×D11#12318yes—
276C22×D11#12318yes—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—24no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
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×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11C2×C22⋊C414yes—
305C2×C4×C11C4×D414yes—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
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—232no—
331C4×D11—416no—
332C4×D11—416no—
333C4×D11—432no—
334C23×D4—111no—
335C24×C4—111no—
336C24×C4—111no—
337C24×C4—112no—
338C2×C4×D4—118no—
339C2×C4×D4—228no—
340C22×C4⋊C4—111no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—111no—
343C22×C22⋊C4—112no—
344C22×C22⋊C4—112no—
345C22×C22⋊C4—112no—
346C22×C42C2×D1111yescharacteristic
347#386—228no—
348#381—224no—
349C2×#95—111no—
350C2×#95—111no—
351C2×#95—112no—
352C2×#95—112no—
353C2×#95—112no—
354C2×#95—112no—
355C2×#95—112no—
356C2×#95—112no—
357C2×#95—224no—
358C2×#95C2×D1112yes—
359C2×#95C2×D1111yescharacteristic
360C2×#95C2×D1111yescharacteristic
361C2×#95C2×D1112yes—
362C22×C11C22×C22⋊C411yescharacteristic
363C22×C11C2×#11711yescharacteristic
364C22×C11C2×#11711yescharacteristic
365C22×C11C2×C4×D411yescharacteristic
366C22×C11C4×#4111yescharacteristic
367C22×C11#51811yescharacteristic
368C22×C11#52011yescharacteristic
369C22×C11C2×#12312yes—
370C22×C11C2×#12312yes—
371C22×C11#52512yes—
372C22×C11#52912yes—
373C22×C11#53812yes—
374C22×C11#53912yes—
375C22×C11D4212yes—
376C22×C11#54612yes—
377C22×C11#54612yes—
378C22×C11#54611yescharacteristic
379C22×C11#54712yes—
380C22×C11#54811yescharacteristic
381C22×C11#55112yes—
382C22×C11#55211yescharacteristic
383C22×C11#55312yes—
384C22×C11#55311yescharacteristic
385C2×D11—24no—
386C2×D11—24no—
387C2×D11—24no—
388C2×D11—24no—
389C2×D11—24no—
390C2×D11—28no—
391C2×D11—28no—
392C2×D11—28no—
393C2×D11—28no—
394C2×D11—24no—
395C2×D11—24no—
396C2×D11—24no—
397C2×D11—24no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—44no—
402C2×D11—44no—
403C2×D11—44no—
404C2×D11—44no—
405C2×D11—42no—
406C2×D11#38118yescomplemented
407C4×C11—24no—
408C4×C11—24no—
409C4×C11—42no—
410C4×C11—44no—
411C4×C11—82no—
412Dic11—42no—
413Dic11—42no—
414Dic11—44no—
415Dic11—82no—
416C25—111no—
417C25—111no—
418C22×D4—114no—
419C22×D4—118no—
420C22×D4—222no—
421C22×D4—224no—
422C22×D4—222no—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4—112no—
426C23×C4—114no—
427C23×C4—114no—
428C23×C4—112no—
429C23×C4—224no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4—224no—
433C23×C4—224no—
434C23×C4—224no—
435C23×C4—224no—
436C23×C4—222no—
437C23×C4—222no—
438C23×C4—222no—
439C23×C4—222no—
440C23×C4—442no—
441C23×C4—442no—
442C23×C4—442no—
443C23×C4—442no—
444C23×C4C22×D1112yes—
445C23×C4C22×D1111yescharacteristic
446C23×C4C22×D1112yes—
447C23×C4C22×D1111yescharacteristic
448C23×C4C22×D1111yescharacteristic
449C4×D4—2232no—
450C2×C4⋊C4—114no—
451C2×C4⋊C4—224no—
452C2×C22⋊C4—114no—
453C2×C22⋊C4—114no—
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—224no—
461C2×C22⋊C4—224no—
462C2×C22⋊C4—224no—
463C2×C22⋊C4—442no—
464C2×C22⋊C4—442no—
465C2×C42—24no—
466C2×C42C4×D1114yescomplemented
467#95—24no—
468#95—22no—
469#95—22no—
470#95—24no—
471#95—114no—
472#95—224no—
473#95—224no—
474#95—224no—
475#95—222no—
476#95—442no—
477#95—442no—
478#95—442no—
479C2×C11C2×#38111yescharacteristic
480C2×C11#229011yescharacteristic
481C2×C11#231811yescharacteristic
482C2×C11D4×C22⋊C411yescharacteristic
483C2×C11#233911yescharacteristic
484C2×C11#235211yescharacteristic
485C2×C11#235311yescharacteristic
486C2×C11#241812yes—
487C2×C11#241912yes—
488C2×C11#244312yes—
489C2×C11#244412yes—
490D11—28no—
491D11—44no—
492C24—112no—
493C24—114no—
494C24—112no—
495C24—114no—
496C24—112no—
497C24—112no—
498C24—114no—
499C24—222no—
500C24—221no—
501C24—221no—
502C24—221no—
503C24—222no—
504C24—221no—
505C24—222no—
506C24—221no—
507C24—221no—
508C24—222no—
509C24—221no—
510C24—221no—
511C24—221no—
512C24—222no—
513C24—221no—
514C24C23×D1111yescharacteristic
515C2×D4—1116no—
516C2×D4—228no—
517C2×D4—228no—
518C2×D4—2216no—
519C2×D4—2216no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—112no—
543C22×C4—112no—
544C22×C4—114no—
545C22×C4—228no—
546C22×C4—228no—
547C22×C4—2216no—
548C22×C4—222no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—228no—
563C22×C4—228no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—444no—
572C22×C4—444no—
573C22×C4—448no—
574C22×C4—448no—
575C22×C4—448no—
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×C4×D1112yes—
586C22×C4#433914yes—
587C22×C4D4×D1114yes—
588C22×C4D4×D1112yes—
589C22×C4#434312yes—
590C4⋊C4—228no—
591C22⋊C4—228no—
592C22⋊C4—228no—
593C22⋊C4—448no—
594C22⋊C4—448no—
595C22⋊C4—448no—
596C42—28no—
597C11#1389411yescharacteristic, complemented, Sylow
598C23—114no—
599C23—114no—
600C23—114no—
601C23—118no—
602C23—118no—
603C23—114no—
604C23—224no—
605C23—224no—
606C23—222no—
607C23—222no—
608C23—222no—
609C23—222no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—224no—
617C23—224no—
618C23—222no—
619C23—222no—
620C23—222no—
621C23—222no—
622C23—222no—
623C23—222no—
624C23—222no—
625C23—222no—
626C23—222no—
627C23—222no—
628C23—224no—
629C23—224no—
630C23—224no—
631C23—224no—
632C23—224no—
633C23—224no—
634C23—442no—
635C23—442no—
636C23—442no—
637C23—442no—
638C23—442no—
639C23—442no—
640C23—441no—
641C23—441no—
642C23—441no—
643C23—441no—
644C23C22×C4×D1111yescharacteristic
645C23C2×#433912yes—
646C23C2×D4×D1112yes—
647C23C2×D4×D1111yescharacteristic
648C23C2×#434311yescharacteristic
649C23#41×D1112yes—
650C23#41×D1111yescharacteristic
651C23#41×D1111yescharacteristic
652C23#6704211yescharacteristic
653C23#6704212yes—
654C23#6704311yescharacteristic
655D4—2232no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—222no—
684C2×C4—222no—
685C2×C4—222no—
686C2×C4—222no—
687C2×C4—222no—
688C2×C4—222no—
689C2×C4—224no—
690C2×C4—224no—
691C2×C4—224no—
692C2×C4—4416no—
693C2×C4—4416no—
694C2×C4—4432no—
695C2×C4—442no—
696C2×C4—442no—
697C2×C4—442no—
698C2×C4—442no—
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×C4C22⋊C4×D1114yes—
711C2×C4#6694614yes—
712C22—118no—
713C22—224no—
714C22—224no—
715C22—224no—
716C22—224no—
717C22—224no—
718C22—224no—
719C22—228no—
720C22—228no—
721C22—228no—
722C22—228no—
723C22—224no—
724C22—224no—
725C22—224no—
726C22—442no—
727C22—442no—
728C22—442no—
729C22—442no—
730C22—444no—
731C22—444no—
732C22—444no—
733C22—444no—
734C22C4×#433911yescharacteristic
735C22C2×C22⋊C4×D1111yescharacteristic
736C22C2×#6694611yescharacteristic
737C22D11×#11711yescharacteristic
738C22D11×#11711yescharacteristic
739C22#1062305211yescharacteristic
740C22#1062305411yescharacteristic
741C22#1062305812yes—
742C22#1062306112yes—
743C22#1062307812yes—
744C22#1062308112yes—
745C22#1062308212yes—
746C22#1062311112yes—
747C22#1062314012yes—
748C22#1062316112yes—
749C22D11×#12312yes—
750C22D11×#12312yes—
751C22#1062320711yescharacteristic
752C22#1062320811yescharacteristic
753C22#1062322511yescharacteristic
754C22#1062322611yescharacteristic
755C22#1062323512yes—
756C22#1062323812yes—
757C4—24no—
758C4—24no—
759C4—42no—
760C4—44no—
761C4—82no—
762C4—442no—
763C4—442no—
764C4—444no—
765C4—882no—
766C2—228no—
767C2—444no—
768C2D11×#38111yescharacteristic
769C2#1307105711yescharacteristic
770C2#1307124711yescharacteristic
771C2#1307143611yescharacteristic
772C2#1307144711yescharacteristic
773C2#1307154211yescharacteristic
774C2#1307155711yescharacteristic
775C2#1307208512yes—
776C2#1307210012yes—
777C2#1307235812yes—
778C2#1307237112yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1434C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenter#1434D11
hypocenterC11#13894
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
3. C2×#10622277C2semidirect
4. C2×D11×#95C2semidirect
5. #13066885C2semidirect
6. #13066864C2semidirect
7. #13066843C2semidirect
8. (C2×D11)⋊#95C2semidirect
9. (C2×D11)⋊#95C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×#1434C2semidirect
24. C2×C4×D44C4semidirect
72. C22×C4×D11C2×C4semidirect
74. C2×C42×C11C2×C4semidirect
87. C2×(C2×D11)⋊C4C2×C4semidirect
89. C2×C4⋊Dic11C2×C4semidirect
102. C11⋊#95D4semidirect
216. #1434D11semidirect
406. C2×D11#381semidirect
466. C2×C42C4×D11semidirect
597. C11#13894semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D442
C2×#106222782
C2×#106222772
C2×D11×#952
#130668852
#130668642
#130668432
(C2×D11)⋊#952
C11×#14342
#1389411