Finite Group Databasebeta

← #14683833

Subgroups — #14683833

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×#10622278C212yesmaximal, complemented
3C2×#10622571C212yesmaximal, complemented
4C2×#10622569C212yesmaximal, complemented
5#13066877C212yesmaximal, complemented
6#13066858C212yesmaximal, complemented
7#13066838C211yesmaximal, characteristic, complemented
8(C2×D11)⋊#95C212yesmaximal, complemented
9C11×#1439C211yesmaximal, characteristic, complemented
10C23×C22⋊D11C2212yes—
11C24×Dic11C2211yescharacteristic
12C23×D44C2211yescharacteristic
13C23×C4×D11C2212yes—
14C22×C11×C4⋊C4C2211yescharacteristic
15C22×C11×C22⋊C4C2212yes—
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C22⋊Dic11C2211yescharacteristic
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×(C2×D11)⋊C4C2212yes—
22C2×C11×#95C2212yes—
23C2×C11×#95C2211yescharacteristic
24C2×C11⋊#95C2212yes—
25C2×C11⋊#95C2212yes—
26C2×C11⋊#95C2212yes—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2211yescharacteristic
31#10622573C418yescomplemented
32#10622571—28no—
33#10622569—28no—
34#10622278—28no—
35C25×C11C2311yescharacteristic
36C24×D11C2312yes—
37C23×C4×C11C2312yes—
38C23×C4×C11C2311yescharacteristic
39C23×C4×C11C2311yescharacteristic
40C23×C4×C11C2312yes—
41C22×C22⋊D11—24no—
42C22×C22⋊D11—24no—
43C22×C22⋊D11—24no—
44C22×C22⋊D11—24no—
45C22×C22⋊D11—42no—
46C22×C22⋊D11—42no—
47C22×C22⋊D11C2×C418yescomplemented
48C23×Dic11—22no—
49C23×Dic11—24no—
50C23×Dic11—42no—
51C23×Dic11—41no—
52C23×Dic11—41no—
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×C4⋊C4—42no—
69C2×C11×C4⋊C4—41no—
70C2×C11×C22⋊C4—24no—
71C2×C11×C22⋊C4—24no—
72C2×C11×C22⋊C4—41no—
73C2×C11×C22⋊C4—41no—
74C2×C11×C22⋊C4—42no—
75C2×C11×C22⋊C4C2×C414yescomplemented
76C2×C22⋊Dic11—41no—
77C2×C22⋊Dic11—41no—
78C2×C22⋊Dic11D414yescomplemented
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4—24no—
81C2×(C2×D11)⋊C4—24no—
82C2×(C2×D11)⋊C4—24no—
83C2×(C2×D11)⋊C4—42no—
84C2×(C2×D11)⋊C4—42no—
85C2×(C2×D11)⋊C4—42no—
86C2×(C2×D11)⋊C4—42no—
87C2×(C2×D11)⋊C4—42no—
88C2×(C2×D11)⋊C4—42no—
89C2×(C2×D11)⋊C4C2×C418yescomplemented
90C2×(C2×D11)⋊C4D418yescomplemented
91C11×#95—24no—
92C11×#95—41no—
93C11⋊#95—24no—
94C11⋊#95—24no—
95C11⋊#95—24no—
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95—42no—
99C11⋊#95C2×C414yescomplemented
100#14572—111nomaximal, Sylow
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—21no—
104C24×C11—21no—
105C24×C11—21no—
106C24×C11—22no—
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—21no—
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—21no—
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×C11C2×D414yes—
152C2×C22⋊D11—216no—
153C2×C22⋊D11—216no—
154C2×C22⋊D11—48no—
155C2×C22⋊D11—48no—
156C2×C22⋊D11—48no—
157C2×C22⋊D11—48no—
158C2×C22⋊D11—48no—
159C22×Dic11—22no—
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—48no—
178C22×Dic11—44no—
179C22×Dic11—44no—
180C22×Dic11—48no—
181C22×Dic11—44no—
182C22×Dic11C22×C414yes—
183C22×Dic11C2×D414yes—
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×C4⋊C4—44no—
198C11×C22⋊C4—44no—
199C11×C22⋊C4—48no—
200C22⋊Dic11—44no—
201(C2×D11)⋊C4—48no—
202(C2×D11)⋊C4—48no—
203(C2×D11)⋊C4—48no—
204(C2×D11)⋊C4—48no—
205C2×#392—111no—
206C2×#386—112no—
207C2×#386—112no—
208C2×#386—112no—
209#1443—112no—
210#1439—112no—
211#1439D1111yescharacteristic, complemented
212C22⋊#95—112no—
213C22⋊#95—111no—
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—41no—
235C23×C11—42no—
236C23×C11C4×D414yes—
237C23×C11C23×C411yescharacteristic
238C23×C11C22×D412yes—
239C23×C11C22×D411yescharacteristic
240C23×C11C2×#4111yescharacteristic
241C23×C11C2×#4112yes—
242C23×C11H(5,𝔽2)11yescharacteristic
243C23×C11H(5,𝔽2)11yescharacteristic
244C23×C11H(5,𝔽2)12yes—
245C23×C11H(5,𝔽2)12yes—
246C23×C11H(5,𝔽2)11yescharacteristic
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—42no—
291C2×C4×C11—42no—
292C2×C4×C11—41no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—41no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—42no—
307C22⋊D11—432no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—24no—
316C2×Dic11—24no—
317C2×Dic11—416no—
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—111no—
335C24×C4—112no—
336C22×C4⋊C4C2×D1111yescharacteristic
337C22×C22⋊C4—111no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4C2×D1112yes—
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—112no—
355C2×#95C2×D1112yes—
356C2×#95C2×D1111yescharacteristic
357C22×C11—24no—
358C22×C11—28no—
359C22×C11—44no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11—44no—
363C22×C11—42no—
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#53912yes—
380C22×C11#53911yescharacteristic
381C22×C11D4211yescharacteristic
382C22×C11D4212yes—
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—82no—
410Dic11—44no—
411Dic11—44no—
412Dic11—44no—
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—112no—
428C23×C4—112no—
429C23×C4—112no—
430C23×C4—224no—
431C23×C4—224no—
432C23×C4—224no—
433C23×C4—222no—
434C23×C4—224no—
435C23×C4—442no—
436C23×C4—442no—
437C23×C4—442no—
438C23×C4—442no—
439C23×C4—441no—
440C23×C4—442no—
441C23×C4—441no—
442C23×C4C22×D1112yes—
443C23×C4C22×D1111yescharacteristic
444C23×C4C22×D1111yescharacteristic
445C23×C4C22×D1112yes—
446C2×C4⋊C4—41no—
447C2×C4⋊C4—42no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—41no—
451C2×C22⋊C4—41no—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—114no—
454C2×C22⋊C4—118no—
455C2×C22⋊C4—118no—
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—441no—
467C2×C22⋊C4—441no—
468C2×C22⋊C4C4×D1114yescomplemented
469#95—24no—
470#95—41no—
471#95—114no—
472#95—224no—
473#95—224no—
474#95—224no—
475#95—224no—
476#95—224no—
477#95—442no—
478C2×C11—44no—
479C2×C11#232511yescharacteristic
480C2×C11#232512yes—
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—22no—
495C24—22no—
496C24—21no—
497C24—22no—
498C24—21no—
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—
515C24D4×D1112yes—
516C24#434312yes—
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—21no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—22no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—114no—
552C22×C4—114no—
553C22×C4—114no—
554C22×C4—222no—
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—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—448no—
573C22×C4—448no—
574C22×C4—448no—
575C22×C4—448no—
576C22×C4—448no—
577C22×C4—448no—
578C22×C4—448no—
579C22×C4—444no—
580C22×C4—448no—
581C22×C4—448no—
582C22×C4—444no—
583C22×C4—444no—
584C22×C4C2×C4×D1112yes—
585C22×C4C2×C4×D1112yes—
586C22×C4D4×D1114yes—
587C4⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—448no—
591C22⋊C4—448no—
592C22⋊C4—448no—
593C22⋊C4—448no—
594C22⋊C4—444no—
595C11#1457211yescharacteristic, complemented, Sylow
596C23—22no—
597C23—22no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—22no—
602C23—22no—
603C23—24no—
604C23—24no—
605C23—22no—
606C23—22no—
607C23—24no—
608C23—42no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—42no—
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—
653C23#6694614yes—
654C23C22×C4×D1111yescharacteristic
655C23C2×D4×D1112yes—
656C23C2×D4×D1111yescharacteristic
657C23#6703711yescharacteristic
658C23#6703711yescharacteristic
659C23#6703712yes—
660C23C2×#434311yescharacteristic
661C23#41×D1112yes—
662C23#6704212yes—
663C23#6704211yescharacteristic
664C23#6704311yescharacteristic
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—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—224no—
692C2×C4—224no—
693C2×C4—224no—
694C2×C4—224no—
695C2×C4—224no—
696C2×C4—224no—
697C2×C4—224no—
698C2×C4—224no—
699C2×C4—224no—
700C2×C4—4432no—
701C2×C4—4416no—
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—
740C22#1062301711yescharacteristic
741C22C2×#6694611yescharacteristic
742C22#1062305411yescharacteristic
743C22C4×D4×D1112yes—
744C22#1062307612yes—
745C22#1062312112yes—
746C22#1062312611yescharacteristic
747C22#1062312811yescharacteristic
748C22#1062313611yescharacteristic
749C22#1062313912yes—
750C22#1062314112yes—
751C22#1062315112yes—
752C22#1062316112yes—
753C22#1062316812yes—
754C22#1062317511yescharacteristic
755C22#1062317611yescharacteristic
756C22#1062318412yes—
757C22#1062318512yes—
758C22#1062319711yescharacteristic
759C22#1062320912yes—
760C22#1062321011yescharacteristic
761C22#1062323812yes—
762C22#1062324811yescharacteristic
763C4—44no—
764C4—42no—
765C4—42no—
766C4—82no—
767C4—444no—
768C4—444no—
769C4—444no—
770C2—44no—
771C2—448no—
772C2#1307131611yescharacteristic
773C2#1307132012yes—
774C2#1307159212yes—
775C2#1307159711yescharacteristic
776C2#1307179111yescharacteristic
777C2#1307482312yes—
778C2#1307482511yescharacteristic
779C2#1307490811yescharacteristic
780C2#1307512011yescharacteristic
781C2#1307512812yes—
782C2#1307599111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1439C2
socle, cosocleC24×C11C24
prime radicalC2×#10622573C2
hypercenter#1439D11
hypocenterC11#14572
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
2. C2×#10622278C2semidirect
3. C2×#10622571C2semidirect
4. C2×#10622569C2semidirect
5. #13066877C2semidirect
6. #13066858C2semidirect
7. #13066838C2semidirect
8. (C2×D11)⋊#95C2semidirect
9. C11×#1439C2semidirect
31. #10622573C4semidirect
47. C22×C22⋊D11C2×C4semidirect
60. C22×D44C2×C4semidirect
75. C2×C11×C22⋊C4C2×C4semidirect
78. C2×C22⋊Dic11D4semidirect
89. C2×(C2×D11)⋊C4C2×C4semidirect
90. C2×(C2×D11)⋊C4D4semidirect
99. C11⋊#95C2×C4semidirect
211. #1439D11semidirect
468. C2×C22⋊C4C4×D11semidirect
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×#106222782
C2×#106225712
C2×#106225692
#130668772
#130668582
#130668382
(C2×D11)⋊#952
C11×#14392
#1457211