Finite Group Databasebeta

← #14676010

Subgroups — #14676010

Order 2816.

2430 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic
2C2×#10622263C211yesmaximal, characteristic, complemented
3C2×#10622280C212yesmaximal, complemented
4C2×#10622555C212yesmaximal, complemented
5C2×C4×Dic11⋊C4C211yesmaximal, characteristic, complemented
6#13066882C212yesmaximal, complemented
7#13066855C212yesmaximal
8#13066854C211yesmaximal, characteristic, complemented
9#13066853C211yesmaximal, characteristic, complemented
10#13066852C211yesmaximal, characteristic, complemented
11C11×#1437C211yesmaximal, characteristic, complemented
12C23×C22⋊D11C2211yescharacteristic
13C24×Dic11C2211yescharacteristic
14C23×C4×D11C2211yescharacteristic
15C22×C11×C22⋊C4C2212yes—
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C42×C11C2211yescharacteristic
18C22×C22⋊Dic11C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C22×Dic11⋊C4C2212yes—
23C22×Dic11⋊C4C2211yescharacteristic
24C22×Dic11⋊C4C2212yes—
25C22×C4×Dic11C2211yescharacteristic
26C22×C4×Dic11C2211yescharacteristic
27C2×(C22⋊D11)⋊C4—24no—
28C2×(C22⋊D11)⋊C4—24no—
29C2×(C22⋊D11)⋊C4C418yescomplemented
30C2×C11×#95C2211yescharacteristic
31C2×C11×#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2211yescharacteristic
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38#10622555—28no—
39C4×Dic11⋊C4—24no—
40#10622280—28no—
41#10622263—24no—
42C25×C11C2311yescharacteristic
43C24×D11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×C4×C11C2312yes—
47C23×C4×C11C2311yescharacteristic
48C22×C22⋊D11—24no—
49C22×C22⋊D11—24no—
50C22×C22⋊D11—22no—
51C22×C22⋊D11—22no—
52C22×C22⋊D11C2×C414yes—
53C23×Dic11—22no—
54C23×Dic11—22no—
55C23×Dic11—24no—
56C23×Dic11—24no—
57C23×Dic11C2×C414yes—
58C23×Dic11C2312yes—
59C23×Dic11C2311yescharacteristic
60C23×Dic11C2312yes—
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C22×C4×D11—22no—
64C22×C4×D11—22no—
65C22×C4×D11—24no—
66C22×C4×D11—24no—
67C22×C4×D11C2×C414yes—
68C2×C11×C22⋊C4—22no—
69C2×C11×C22⋊C4—22no—
70C2×C11×C22⋊C4—24no—
71C2×C11×C22⋊C4—24no—
72C2×C11×C22⋊C4—42no—
73C2×C11×C22⋊C4C2×C414yes—
74C2×C42×C11—22no—
75C2×C42×C11—42no—
76C2×C22⋊Dic11—24no—
77C2×C22⋊Dic11—24no—
78C2×C22⋊Dic11—42no—
79C2×(C2×D11)⋊C4—22no—
80C2×(C2×D11)⋊C4—22no—
81C2×(C2×D11)⋊C4—24no—
82C2×(C2×D11)⋊C4—24no—
83C2×(C2×D11)⋊C4—24no—
84C2×(C2×D11)⋊C4—24no—
85C2×(C2×D11)⋊C4—42no—
86C2×(C2×D11)⋊C4—42no—
87C2×(C2×D11)⋊C4C2×C414yes—
88C2×Dic11⋊C4—22no—
89C2×Dic11⋊C4—22no—
90C2×Dic11⋊C4—24no—
91C2×Dic11⋊C4—24no—
92C2×Dic11⋊C4—24no—
93C2×Dic11⋊C4—24no—
94C2×Dic11⋊C4—24no—
95C2×Dic11⋊C4C2×C414yes—
96C2×Dic11⋊C4D418yescomplemented
97C2×C4×Dic11—22no—
98C2×C4×Dic11—42no—
99C2×C4×Dic11C2×C414yes—
100C2×C4×Dic11D414yes—
101C2×C4×Dic11D414yes—
102(C22⋊D11)⋊C4—232no—
103C11×#95—22no—
104C11×#95—24no—
105C11⋊#95—22no—
106C11⋊#95—24no—
107C11⋊#95—24no—
108C11⋊#95—24no—
109C11⋊#95—24no—
110C11⋊#95—24no—
111#13905—111nomaximal, Sylow
112C24×C11—22no—
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11—22no—
119C24×C11C22×C412yes—
120C24×C11#4114yes—
121C24×C11C2411yescharacteristic
122C23×D11—22no—
123C23×D11—21no—
124C23×D11—21no—
125C23×D11—22no—
126C23×D11—22no—
127C23×D11—22no—
128C23×D11—22no—
129C23×D11C22×C412yes—
130C23×D11#4114yes—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
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×C11—22no—
150C22×C4×C11C22×C412yes—
151C22×C4×C11C22×C412yes—
152C22×C4×C11C2×D414yes—
153C22×C4×C11C2×D412yes—
154C22×C4×C11C2×D412yes—
155C2×C22⋊D11—216no—
156C2×C22⋊D11—216no—
157C2×C22⋊D11—28no—
158C2×C22⋊D11—28no—
159C2×C22⋊D11—28no—
160C22×Dic11—28no—
161C22×Dic11—216no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—21no—
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×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—48no—
182C22×Dic11—44no—
183C22×Dic11—44no—
184C22×Dic11C22×C412yes—
185C22×Dic11C22×C412yes—
186C22×Dic11C22×C412yes—
187C22×Dic11C2×D414yes—
188C22×Dic11C2×D412yes—
189C22×Dic11C2×D412yes—
190C22×Dic11C2×D412yes—
191C22×Dic11C2×D412yes—
192C22×Dic11C2×D414yes—
193C22×Dic11#4114yes—
194C2×C4×D11—28no—
195C2×C4×D11—216no—
196C2×C4×D11—48no—
197C2×C4×D11—44no—
198C2×C4×D11—44no—
199C11×C22⋊C4—28no—
200C11×C22⋊C4—48no—
201C42×C11—44no—
202C22⋊Dic11—48no—
203(C2×D11)⋊C4—28no—
204(C2×D11)⋊C4—48no—
205(C2×D11)⋊C4—48no—
206Dic11⋊C4—28no—
207Dic11⋊C4—216no—
208Dic11⋊C4—48no—
209C4×Dic11—44no—
210C4×Dic11C22⋊C4116yescomplemented
211C22×C4×D4—111no—
212C2×#382—111no—
213C2×#380—112no—
214C2×#380—112no—
215C2×C4×C4⋊C4—111no—
216#1445—112no—
217#1438—112no—
218#1437—111no—
219#1437—111no—
220#1437—111no—
221#1437D1111yescharacteristic, complemented
222C23×C11—22no—
223C23×C11—22no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—24no—
229C23×C11—24no—
230C23×C11—24no—
231C23×C11—24no—
232C23×C11—42no—
233C23×C11—41no—
234C23×C11—41no—
235C23×C11—41no—
236C23×C11—41no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11#11714yes—
243C23×C11C23×C411yescharacteristic
244C23×C11C22×D411yescharacteristic
245C23×C11C22×D411yescharacteristic
246C23×C11C22×D412yes—
247C23×C11C2×#4112yes—
248C23×C11C2×#4112yes—
249C23×C11C2×#4112yes—
250C23×C11H(5,𝔽2)12yes—
251C23×C112−1+412yes—
252C22×D11—22no—
253C22×D11—22no—
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—42no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11#11714yes—
273C2×C4×C11—24no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—24no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
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×C11C2×C22⋊C414yes—
297C22⋊D11—232no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—22no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—416no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11C2×C22⋊C414yes—
323C2×Dic11C2×C22⋊C414yes—
324C2×Dic11C4×D418yes—
325C2×Dic11#12118yes—
326C2×Dic11#12414yes—
327C2×Dic11#12714yes—
328C4×D11—416no—
329C23×D4—111no—
330C24×C4—111no—
331C24×C4—111no—
332C2×C4×D4—118no—
333C2×C4×D4—224no—
334C2×C4×D4—224no—
335C22×C4⋊C4—111no—
336C22×C4⋊C4—112no—
337C22×C4⋊C4—112no—
338C22×C22⋊C4—111no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—112no—
342C22×C22⋊C4C2×D1112yes—
343C22×C22⋊C4C2×D1111yescharacteristic
344C22×C42—111no—
345C22×C42—111no—
346C22×C42C2×D1111yescharacteristic
347#382—224no—
348#380—228no—
349#380—228no—
350C4×C4⋊C4—224no—
351C2×#95—111no—
352C2×#95—112no—
353C2×#95—112no—
354C2×#95—112no—
355C2×#95—112no—
356C2×#95—112no—
357C2×#95C2×D1111yescharacteristic
358C2×#95C2×D1112yes—
359C22×C11—28no—
360C22×C11—24no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—44no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—42no—
368C22×C11C22×C22⋊C411yescharacteristic
369C22×C11C2×#11711yescharacteristic
370C22×C11C2×#11711yescharacteristic
371C22×C11C2×C4×D412yes—
372C22×C11#52012yes—
373C22×C11C2×#12112yes—
374C22×C11#52512yes—
375C22×C11#52512yes—
376C22×C11C2×#12411yescharacteristic
377C22×C11C2×#12711yescharacteristic
378C22×C11#53511yescharacteristic
379C22×C11#53611yescharacteristic
380C22×C11#53712yes—
381C22×C11#54612yes—
382C22×C11#54612yes—
383C22×C11#54812yes—
384C22×C11#54812yes—
385C22×C11#55212yes—
386C22×C11#55212yes—
387C22×C11#55312yes—
388C22×C11#55312yes—
389C2×D11—28no—
390C2×D11—24no—
391C2×D11—44no—
392C2×D11—42no—
393C2×D11—44no—
394C2×D11—44no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—42no—
398C4×C11—24no—
399C4×C11—44no—
400C4×C11—42no—
401C4×C11—82no—
402Dic11—24no—
403Dic11—44no—
404Dic11—42no—
405Dic11—82no—
406Dic11#39018yes—
407C25—111no—
408C25C22×D1111yescharacteristic
409C22×D4—114no—
410C22×D4—222no—
411C22×D4—222no—
412C22×D4—224no—
413C22×D4—224no—
414C23×C4—111no—
415C23×C4—111no—
416C23×C4—114no—
417C23×C4—112no—
418C23×C4—111no—
419C23×C4—114no—
420C23×C4—112no—
421C23×C4—222no—
422C23×C4—222no—
423C23×C4—224no—
424C23×C4—224no—
425C23×C4—222no—
426C23×C4—222no—
427C23×C4—224no—
428C23×C4—224no—
429C23×C4C22×D1112yes—
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1112yes—
432C23×C4C22×D1111yescharacteristic
433C4×D4—2232no—
434C2×C4⋊C4—114no—
435C2×C4⋊C4—118no—
436C2×C4⋊C4—222no—
437C2×C4⋊C4—222no—
438C2×C4⋊C4—224no—
439C2×C4⋊C4—224no—
440C2×C4⋊C4—224no—
441C2×C4⋊C4—224no—
442C2×C4⋊C4—224no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—22no—
445C2×C22⋊C4—24no—
446C2×C22⋊C4—24no—
447C2×C22⋊C4—42no—
448C2×C22⋊C4—114no—
449C2×C22⋊C4—222no—
450C2×C22⋊C4—222no—
451C2×C22⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—224no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—224no—
456C2×C22⋊C4—224no—
457C2×C22⋊C4—442no—
458C2×C22⋊C4—442no—
459C2×C22⋊C4—442no—
460C2×C22⋊C4C4×D1114yes—
461C2×C42—22no—
462C2×C42—42no—
463C2×C42—114no—
464C2×C42—114no—
465C2×C42—114no—
466C2×C42—222no—
467C2×C42—442no—
468#95—24no—
469#95—22no—
470#95—224no—
471#95—224no—
472#95—224no—
473#95—224no—
474#95—224no—
475#95—222no—
476C2×C11—44no—
477C2×C11#228011yescharacteristic
478C2×C11C2×#39011yescharacteristic
479C2×C11#231111yescharacteristic
480C2×C11#235212yes—
481C2×C11#235212yes—
482C2×C11#253512yes—
483C2×C11#253612yes—
484C2×C11#254012yes—
485C2×C11#256212yes—
486D11—44no—
487C24—22no—
488C24—21no—
489C24—21no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—112no—
495C24—114no—
496C24—222no—
497C24—222no—
498C24—221no—
499C24—221no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24C2×C4×D1112yes—
504C24#433914yes—
505C24C23×D1111yescharacteristic
506C2×D4—228no—
507C2×D4—228no—
508C2×D4—2216no—
509C2×D4—2216no—
510C2×D4—228no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—22no—
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—112no—
531C22×C4—112no—
532C22×C4—112no—
533C22×C4—114no—
534C22×C4—114no—
535C22×C4—112no—
536C22×C4—112no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—114no—
540C22×C4—228no—
541C22×C4—2216no—
542C22×C4—228no—
543C22×C4—2216no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—222no—
552C22×C4—222no—
553C22×C4—222no—
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—444no—
564C22×C4—448no—
565C22×C4—444no—
566C22×C4—444no—
567C22×C4—448no—
568C22×C4—444no—
569C22×C4C2×C4×D1112yes—
570C22×C4C2×C4×D1112yes—
571C22×C4D4×D1114yes—
572C22×C4D4×D1112yes—
573C22×C4D4×D1112yes—
574C4⋊C4—228no—
575C4⋊C4—2216no—
576C4⋊C4—448no—
577C22⋊C4—28no—
578C22⋊C4—48no—
579C22⋊C4—228no—
580C22⋊C4—448no—
581C22⋊C4—448no—
582C22⋊C4—448no—
583C42—44no—
584C42—1116no—
585C42—444no—
586C11#1390511yescharacteristic, complemented, Sylow
587C23—22no—
588C23—24no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—42no—
598C23—41no—
599C23—41no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—41no—
604C23—42no—
605C23—41no—
606C23—42no—
607C23—114no—
608C23—224no—
609C23—222no—
610C23—222no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—224no—
617C23—224no—
618C23—441no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—442no—
623C23—441no—
624C23—442no—
625C23—442no—
626C23—441no—
627C23—441no—
628C23#6692514yes—
629C23C22×C4×D1111yescharacteristic
630C23C2×#433912yes—
631C23C2×D4×D1111yescharacteristic
632C23C2×D4×D1112yes—
633C23C2×D4×D1111yescharacteristic
634C23#6703712yes—
635C23#41×D1112yes—
636C23#41×D1112yes—
637C23#6704312yes—
638D4—2232no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—114no—
663C2×C4—114no—
664C2×C4—118no—
665C2×C4—118no—
666C2×C4—114no—
667C2×C4—114no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—224no—
672C2×C4—222no—
673C2×C4—224no—
674C2×C4—224no—
675C2×C4—224no—
676C2×C4—224no—
677C2×C4—4416no—
678C2×C4—4416no—
679C2×C4—441no—
680C2×C4—442no—
681C2×C4—442no—
682C2×C4—442no—
683C2×C4—442no—
684C2×C4—442no—
685C2×C4—441no—
686C2×C4—442no—
687C2×C4—442no—
688C2×C4—442no—
689C2×C4—442no—
690C2×C4—442no—
691C2×C4—442no—
692C2×C4—442no—
693C2×C4C22⋊C4×D1114yes—
694C22—24no—
695C22—28no—
696C22—42no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—42no—
703C22—224no—
704C22—228no—
705C22—442no—
706C22—444no—
707C22—444no—
708C22—444no—
709C22—444no—
710C22—444no—
711C22—442no—
712C22C2×#6692511yescharacteristic
713C22C2×C22⋊C4×D1111yescharacteristic
714C22#1062302112yes—
715C22D11×#11711yescharacteristic
716C22#1062306212yes—
717C22#1062307112yes—
718C22C4×D4×D1112yes—
719C22#1062307712yes—
720C22#1062307812yes—
721C22#1062307812yes—
722C22#1062308312yes—
723C22#1062312311yescharacteristic
724C22#1062312812yes—
725C22D11×#12112yes—
726C22#1062314112yes—
727C22#1062317911yescharacteristic
728C22#1062319212yes—
729C22D11×#12411yescharacteristic
730C22#1062320812yes—
731C22#1062323912yes—
732C22D11×#12711yescharacteristic
733C4—24no—
734C4—44no—
735C4—42no—
736C4—82no—
737C4—118no—
738C4—224no—
739C4—444no—
740C4—442no—
741C4—882no—
742C2—44no—
743C2—444no—
744C2#1307099711yescharacteristic
745C2D11×#39011yescharacteristic
746C2#1307120311yescharacteristic
747C2#1307153912yes—
748C2#1307154412yes—
749C2#1307351612yes—
750C2#1307352412yes—
751C2#1307355312yes—
752C2#1307378012yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1437C2
socle, cosocleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenter#1437D11
hypocenterC11#13905
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C2×#10622263C2semidirect
3. C2×#10622280C2semidirect
4. C2×#10622555C2semidirect
5. C2×C4×Dic11⋊C4C2semidirect
6. #13066882C2semidirect
8. #13066854C2semidirect
9. #13066853C2semidirect
10. #13066852C2semidirect
11. C11×#1437C2semidirect
29. C2×(C22⋊D11)⋊C4C4semidirect
96. C2×Dic11⋊C4D4semidirect
210. C4×Dic11C22⋊C4semidirect
221. #1437D11semidirect
586. C11#13905semidirect

Maximal subgroups

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

subgroupindex
C22×(C22⋊D11)⋊C42
C2×#106222632
C2×#106222802
C2×#106225552
C2×C4×Dic11⋊C42
#130668822
#130668552
#130668542
#130668532
#130668522
C11×#14372
#1390511