Finite Group Databasebeta

← #14754792

Subgroups — #14754792

Order 2816.

1382 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623103C211yesmaximal, characteristic
2C2×#10622493C211yesmaximal, characteristic
3C2×#10622415C211yesmaximal, characteristic
4C2×D11×#103C211yesmaximal, characteristic
5#13071231C211yesmaximal, characteristic
6#13068885C211yesmaximal, characteristic, complemented
7#13068884C211yesmaximal, characteristic, complemented
8#13068883C211yesmaximal, characteristic, complemented
9#13068882C211yesmaximal, characteristic, complemented
10#13068873C211yesmaximal, characteristic, complemented
11#13068872C211yesmaximal, characteristic, complemented
12#13068867C211yesmaximal, characteristic, complemented
13#13068334C211yesmaximal, characteristic
14#13068311C211yesmaximal, characteristic
15C11×#1863C211yesmaximal, characteristic, complemented
16C22×Q8×D11C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×Q8×Dic11C2211yescharacteristic
19C22×#4313C2211yescharacteristic
20C22×C8×D11C2211yescharacteristic
21#10623103—24no—
22#10623103—24no—
23C2×#66945—21no—
24C2×#66945C2211yescharacteristic
25C2×#66945C2211yescharacteristic
26C2×C4⋊C4×D11C2211yescharacteristic
27C2×#66940—21no—
28C2×#66940C2211yescharacteristic
29C2×#66925—21no—
30C2×#66925C2211yescharacteristic
31C2×C4×Dic22—21no—
32C2×C4×Dic22C2211yescharacteristic
33C2×C11×#107C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2211yescharacteristic
36C11×#389C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66882C2211yescharacteristic
40C2×#66880C2211yescharacteristic
41C2×#66880C2211yescharacteristic
42#10622600—21no—
43#10622598C2211yescharacteristic
44#10622586C2211yescharacteristic
45#10622585—21no—
46C2×#66874C2211yescharacteristic
47C2×#66874C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49C2×#66872C2211yescharacteristic
50#10622541C2211yescharacteristic
51#10622493—24no—
52#10622415—24no—
53D11×#103C418yescomplemented
54#10622280—21no—
55#10622260—21no—
56C11×#340C2211yescharacteristic
57C11×#336C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622188C2211yescharacteristic
61#10622167C2211yescharacteristic
62#10622167C2211yescharacteristic
63#10622162C2211yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C2×Q8×D11—22no—
66C2×Q8×D11—22no—
67C2×Q8×D11—22no—
68C2×Q8×D11C2×C414yes—
69C2×Q8×D11D414yes—
70C2×Q8×D11Q814yes—
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11C2311yescharacteristic
74C22×Dic22—21no—
75C22×Dic22C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C4×Q8×C11—22no—
79C4×Q8×C11—22no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C42×C11—21no—
86C2×C42×C11C2311yescharacteristic
87Q8×Dic11—22no—
88Q8×Dic11—22no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4D411yescharacteristic
92C2×(C2×D11)⋊C4D411yescharacteristic
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4D411yescharacteristic
104C2×Dic11⋊C4D411yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C2×#4313—22no—
114C2×#4313—22no—
115C2×#4313—22no—
116C2×C8×D11—22no—
117C2×C8×D11—22no—
118C2×C8×D11C2×C414yes—
119#66945—28no—
120#66945—22no—
121#66945—22no—
122#66945—22no—
123#66945D414yes—
124C4⋊C4×D11—22no—
125C4⋊C4×D11C2×C414yes—
126#66940—28no—
127#66940—22no—
128#66940—22no—
129#66925—28no—
130#66925—22no—
131#66925—22no—
132C4×Dic22—28no—
133C4×Dic22—22no—
134C4×Dic22—22no—
135C11×#107—22no—
136C11×#103—22no—
137C11×#103C2×C414yes—
138C11×#95—21no—
139#66899—22no—
140#66899C2×C414yes—
141C11⋊#95—21no—
142C11⋊#95—21no—
143C11⋊#95—21no—
144#66882—22no—
145#66880—22no—
146#66880C2×C414yes—
147#66874—22no—
148#66874C2×C414yes—
149#66872—22no—
150#66872—22no—
151#20880—111nomaximal, Sylow
152C23×D11C2×D411yescharacteristic
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11C22×C412yes—
157C2×Q8×C11C2×D412yes—
158C2×Q8×C11C2×Q812yes—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2411yescharacteristic
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173Q8×D11—28no—
174Q8×D11—28no—
175Q8×D11—28no—
176Q8×D11C4⋊C4116yescomplemented
177C2×C4×D11—24no—
178C2×C4×D11—24no—
179C2×C4×D11—24no—
180C2×C4×D11—24no—
181C2×C4×D11—81no—
182C2×C4×D11—81no—
183C2×C4×D11C22×C412yes—
184C2×C4×D11C2×D412yes—
185C2×C4×D11C2×D412yes—
186C2×C4×D11C2×Q812yes—
187C2×C4×D11#4112yes—
188C2×C4×D11#4112yes—
189C2×Dic22—24no—
190C2×Dic22—24no—
191C2×Dic22—24no—
192C2×Dic22—21no—
193C2×Dic22—21no—
194C2×Dic22—21no—
195C2×Dic22C22×C412yes—
196C2×Dic22C2×D412yes—
197C2×Dic22C2×Q812yes—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11C22×C412yes—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—81no—
210C11×C4⋊C4C22×C412yes—
211C11×C4⋊C4C2×D412yes—
212C42×C11—24no—
213C42×C11—21no—
214C42×C11—21no—
215(C2×D11)⋊C4—22no—
216(C2×D11)⋊C4—22no—
217(C2×D11)⋊C4—24no—
218(C2×D11)⋊C4—42no—
219C4⋊Dic11—24no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—81no—
225C4⋊Dic11C22×C412yes—
226C4⋊Dic11C2×D412yes—
227Dic11⋊C4—24no—
228Dic11⋊C4—24no—
229Dic11⋊C4—24no—
230Dic11⋊C4—22no—
231Dic11⋊C4—22no—
232Dic11⋊C4—81no—
233Dic11⋊C4—81no—
234C4×Dic11—24no—
235C4×Dic11—24no—
236C4×Dic11—24no—
237C4×Dic11—24no—
238C4×Dic11—21no—
239C4×Dic11—21no—
240C4×Dic11—42no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8—21no—
243C2×C11⋊C8—21no—
244C2×C11⋊C8—21no—
245C2×C11⋊C8—21no—
246C2×C11⋊C8C22×C412yes—
247#4313—44no—
248C8×D11—28no—
249C2×#519—111no—
250C2×#427—111no—
251C2×#419—111no—
252C22×#103—111no—
253#2316—111no—
254#1865—111no—
255#1865—111no—
256#1865—111no—
257#1865—111no—
258#1863—111no—
259#1863—111no—
260#1863—111no—
261#1863D1111yescharacteristic, complemented
262#1736—111no—
263#1729—111no—
264C23×C11C22×D411yescharacteristic
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—21no—
268C22×D11—21no—
269C22×D11C4×D412yes—
270C22×D11#12012yes—
271C22×D11C22⋊Q812yes—
272Q8×C11—22no—
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11C2×C4⋊C414yes—
276C2×C4×C11—22no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C22×D411yescharacteristic
297C2×C4×C11C22×Q811yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11C4×D412yes—
319C2×Dic11#12012yes—
320C2×Dic11C22⋊Q812yes—
321C4×D11—216no—
322C4×D11—84no—
323C4×D11C2×C4⋊C414yes—
324C4×D11C4×D414yes—
325C4×D11C22⋊Q814yes—
326C4×D11#12314yes—
327Dic22—22no—
328Dic22—22no—
329Dic22—22no—
330Dic22—216no—
331Dic22C2×C4⋊C414yes—
332C8×C11—22no—
333C8×C11—41no—
334C11⋊C8—22no—
335C11⋊C8—41no—
336C23×Q8—111no—
337C22×M16—111no—
338C23×C8—111no—
339#519—224no—
340#519—224no—
341C2×C4×Q8—111no—
342C2×C4×Q8—111no—
343C2×C4×Q8—111no—
344C2×C4×Q8—221no—
345C2×C4×Q8—221no—
346C2×C4×Q8C2×D1111yescharacteristic
347C2×#117—111no—
348C2×#117—111no—
349C2×#117—111no—
350C2×#117—221no—
351C2×#117—221no—
352C22×C4⋊C4—111no—
353#427—224no—
354C2×#107—111no—
355C2×#107C2×D1111yescharacteristic
356C2×#106—111no—
357C2×#106—111no—
358#419—224no—
359C2×#103—111no—
360C2×#103—111no—
361C2×#103—111no—
362C2×#103—118no—
363C2×#103—111no—
364C2×#103—111no—
365C2×#103—111no—
366C2×#103C2×D1111yescharacteristic
367C2×#103C2×D1111yescharacteristic
368#389—111no—
369#389—111no—
370#389—111no—
371#389—221no—
372#389—221no—
373#389C2×D1111yescharacteristic
374#380—221no—
375#380—221no—
376#340—111no—
377#340—111no—
378#340—111no—
379#340C2×D1111yescharacteristic
380#336—111no—
381#336—111no—
382#336—111no—
383#336C2×D1111yescharacteristic
384C22×C11C2×C4×D411yescharacteristic
385C22×C11C2×#12011yescharacteristic
386C22×C11C2×C22⋊Q811yescharacteristic
387C22×C11#57711yescharacteristic
388C22×C11#57711yescharacteristic
389C22×C11#57811yescharacteristic
390C22×C11#57811yescharacteristic
391C2×D11—22no—
392C2×D11—22no—
393C2×D11—22no—
394C2×D11—22no—
395C2×D11—22no—
396C2×D11—22no—
397C2×D11#38514yes—
398C4×C11—24no—
399C4×C11—42no—
400C4×C11—41no—
401C4×C11—41no—
402C4×C11—42no—
403C4×C11—81no—
404C4×C11C22×C4⋊C411yescharacteristic
405C4×C11C2×C4×D411yescharacteristic
406C4×C11C2×C22⋊Q811yescharacteristic
407C4×C11C2×#12311yescharacteristic
408Dic11—24no—
409Dic11—42no—
410Dic11—41no—
411Dic11—41no—
412Dic11—42no—
413Dic11—81no—
414Dic11#38514yes—
415C22×Q8—114no—
416C22×Q8—114no—
417C22×Q8—114no—
418C22×Q8—111no—
419C22×Q8—221no—
420C22×Q8—222no—
421C22×Q8—222no—
422C22×Q8—222no—
423C22×Q8C22×D1111yescharacteristic
424C23×C4—111no—
425C23×C4—221no—
426C23×C4—221no—
427C2×M16—222no—
428C2×M16—222no—
429C2×M16—222no—
430C22×C8—111no—
431C22×C8—114no—
432C22×C8—111no—
433C22×C8—222no—
434C22×C8—222no—
435C22×C8C22×D1111yescharacteristic
436C22×C8C22×D1111yescharacteristic
437C4×Q8—22no—
438C4×Q8—22no—
439C4×Q8—222no—
440C4×Q8—222no—
441C4×Q8—228no—
442C4×Q8—222no—
443C4×Q8—228no—
444C4×Q8—222no—
445C4×Q8—222no—
446C4×Q8—222no—
447#117—114no—
448#117—222no—
449#117—222no—
450#117—228no—
451#117—222no—
452#117—228no—
453#117—222no—
454#117—222no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—114no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—222no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4—221no—
471C2×C4⋊C4C22×D1111yescharacteristic
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C4⋊C4C22×D1111yescharacteristic
474C2×C22⋊C4—111no—
475C2×C22⋊C4—111no—
476C2×C22⋊C4—221no—
477C2×C22⋊C4—221no—
478C2×C42—21no—
479C2×C42—111no—
480C2×C42—221no—
481C2×C42—221no—
482C2×C42—221no—
483C2×C42—221no—
484C2×C42—221no—
485C2×C42C22×D1111yescharacteristic
486#107—22no—
487#107—222no—
488#106—222no—
489#106—222no—
490#103—22no—
491#103—114no—
492#103—114no—
493#103—114no—
494#103—222no—
495#103—222no—
496#103—222no—
497#103C4×D1114yes—
498#95—21no—
499#95—221no—
500#95—221no—
501#95—221no—
502C2×C11C2×#38511yescharacteristic
503C2×C11#294911yescharacteristic
504C2×C11#295011yescharacteristic
505C2×C11#301311yescharacteristic
506C2×C11#301311yescharacteristic
507C2×C11#308211yescharacteristic
508C2×C11#308211yescharacteristic
509D11—24no—
510C24—111no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—1116no—
515C2×Q8—112no—
516C2×Q8—112no—
517C2×Q8—112no—
518C2×Q8—224no—
519C2×Q8—224no—
520C2×Q8—224no—
521C2×Q8—228no—
522C2×Q8—228no—
523C2×Q8—228no—
524C2×Q8—221no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8C2×C4×D1112yes—
528C2×Q8D4×D1112yes—
529C2×Q8Q8×D1112yes—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—111no—
535C22×C4—112no—
536C22×C4—112no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—112no—
540C22×C4—112no—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—224no—
544C22×C4—224no—
545C22×C4—224no—
546C22×C4—224no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—881no—
552C22×C4—881no—
553C22×C4D4×D1111yescharacteristic
554C22×C4D4×D1111yescharacteristic
555C22×C4C23×D1111yescharacteristic
556M16—444no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—112no—
563C2×C8—228no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8C2×C4×D1112yes—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—81no—
576C4⋊C4—112no—
577C4⋊C4—112no—
578C4⋊C4—224no—
579C4⋊C4—222no—
580C4⋊C4—222no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—224no—
584C4⋊C4—221no—
585C4⋊C4—221no—
586C4⋊C4—221no—
587C4⋊C4—221no—
588C4⋊C4—881no—
589C4⋊C4—881no—
590C4⋊C4—881no—
591C4⋊C4C2×C4×D1112yes—
592C4⋊C4D4×D1112yes—
593C22⋊C4—222no—
594C22⋊C4—222no—
595C22⋊C4—224no—
596C22⋊C4—442no—
597C42—24no—
598C42—21no—
599C42—21no—
600C42—224no—
601C42—224no—
602C42—224no—
603C42—224no—
604C42—221no—
605C42—221no—
606C42—442no—
607C11#2088011yescharacteristic, complemented, Sylow
608C23—112no—
609C23—112no—
610C23—112no—
611C23—221no—
612C23—221no—
613C23—221no—
614C23—221no—
615C23C2×D4×D1111yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8—114no—
620Q8—2216no—
621Q8—222no—
622Q8—222no—
623Q8—222no—
624Q8C4⋊C4×D1114yes—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—112no—
644C2×C4—112no—
645C2×C4—112no—
646C2×C4—114no—
647C2×C4—114no—
648C2×C4—114no—
649C2×C4—114no—
650C2×C4—2216no—
651C2×C4—222no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—221no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—884no—
670C2×C4C22×C4×D1111yescharacteristic
671C2×C4C2×D4×D1111yescharacteristic
672C2×C4C2×D4×D1111yescharacteristic
673C2×C4C2×Q8×D1111yescharacteristic
674C2×C4#41×D1111yescharacteristic
675C2×C4#41×D1111yescharacteristic
676C8—22no—
677C8—41no—
678C8—222no—
679C8—441no—
680C22—114no—
681C22—222no—
682C22—222no—
683C22—222no—
684C22—222no—
685C22—222no—
686C22—222no—
687C22C4×D4×D1111yescharacteristic
688C22D11×#12011yescharacteristic
689C22D11×C22⋊Q811yescharacteristic
690C22#1062329711yescharacteristic
691C22#1062330211yescharacteristic
692C22#1062330611yescharacteristic
693C22#1062330911yescharacteristic
694C4—24no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—42no—
699C4—81no—
700C4—114no—
701C4—224no—
702C4—441no—
703C4—441no—
704C4—442no—
705C4—442no—
706C4—881no—
707C4C2×C4⋊C4×D1111yescharacteristic
708C4C4×D4×D1111yescharacteristic
709C4D11×C22⋊Q811yescharacteristic
710C4D11×#12311yescharacteristic
711C2—224no—
712C2D11×#38511yescharacteristic
713C2#1307747211yescharacteristic
714C2#1307747911yescharacteristic
715C2#1307792911yescharacteristic
716C2#1307793211yescharacteristic
717C2#1307845311yescharacteristic
718C2#1307845711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1863C2
socleC23×C11C22×D4
prime radicalC23×D11C2×D4
cosocleC22×C4×C11C24
hypercenter#1863D11
hypocenterC11#20880
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1863

Complements

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

NH ≅ G/Ntype
6. #13068885C2semidirect
7. #13068884C2semidirect
8. #13068883C2semidirect
9. #13068882C2semidirect
10. #13068873C2semidirect
11. #13068872C2semidirect
12. #13068867C2semidirect
15. C11×#1863C2semidirect
53. D11×#103C4semidirect
176. Q8×D11C4⋊C4semidirect
261. #1863D11semidirect
607. C11#20880semidirect

Maximal subgroups

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

subgroupindex
C2×#106231032
C2×#106224932
C2×#106224152
C2×D11×#1032
#130712312
#130688852
#130688842
#130688832
#130688822
#130688732
#130688722
#130688672
#130683342
#130683112
C11×#18632
#2088011