Finite Group Databasebeta

← #15634606

Subgroups — #15634606

Order 2816.

1726 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082435C211yesmaximal, characteristic
2#13082421C211yesmaximal, characteristic, complemented
3#13081582C214yesmaximal, complemented
4#13081547C212yesmaximal, complemented
5#13081532C214yesmaximal, complemented
6#13081530C212yesmaximal, complemented
7#13081497C212yesmaximal, complemented
8#13081495C212yesmaximal, complemented
9#13079163C211yesmaximal, characteristic, complemented
10#13079156C212yesmaximal, complemented
11#13078465C212yesmaximal
12#13078461C212yesmaximal, complemented
13C2×#10622463C211yesmaximal, characteristic, complemented
14#13077559C211yesmaximal, characteristic, complemented
15#13077462C212yesmaximal
16C4×#67004C211yesmaximal, characteristic
17C11×#3076C211yesmaximal, characteristic
18C11×#533C2211yescharacteristic
19C4×C11×#41C2211yescharacteristic
20#10623358C2212yes—
21C2×#67004C2211yescharacteristic
22#10623253C2212yes—
23#10623252C2212yes—
24#10623216C2214yes—
25#10623154—22no—
26#10623153—22no—
27#10623101C2212yes—
28#10623098—22no—
29#10623098—21no—
30Q8×Dic22—21no—
31Q8×Dic22C2212yes—
32#10623074—22no—
33#10623074C2212yes—
34D4×Dic22—22no—
35D4×Dic22C2212yes—
36#10623050—22no—
37#10623050C2212yes—
38#10623050C2212yes—
39#10623047C2212yes—
40#10623001—21no—
41#10623001C2211yescharacteristic
42C2×#66922—21no—
43C2×#66922C2211yescharacteristic
44C2×C4×Dic22C2211yescharacteristic
45C11×#479C2212yes—
46C11×#478C2212yes—
47C11×#477C2211yescharacteristic
48C11×#476C2211yescharacteristic
49C11×#475C2211yescharacteristic
50C11×#474C2211yescharacteristic
51C11×#427C2212yes—
52C2×C11×C4⋊C8C2211yescharacteristic
53C11×#416C2212yes—
54#10622845C2211yescharacteristic
55C2×#66882C2212yes—
56C2×#66880C2212yes—
57#10622715C2212yes—
58#10622714C2212yes—
59#10622692C2212yes—
60#10622691C2212yes—
61#10622678C2214yes—
62#10622643C2212yes—
63C4×#4326C2212yes—
64#10622631C2212yes—
65C4×#4324C2212yes—
66#10622617C2211yescharacteristic
67#10622608C2211yescharacteristic
68#10622608C2212yes—
69#10622608C2212yes—
70C4×#4318C2211yescharacteristic
71#10622491C2214yes—
72#10622490C2214yes—
73#10622488C2214yes—
74#10622487C2214yes—
75#10622470C2214yes—
76#10622469C2214yes—
77#10622469C2214yes—
78#10622467C2214yes—
79#10622463C2212yes—
80#10622463C2212yes—
81#10622463C2214yes—
82#10622444C2212yes—
83#10622443C2212yes—
84#10622441C2214yes—
85#10622409C2214yes—
86#10622407C2214yes—
87#10622403C2214yes—
88#10622402C2214yes—
89#10622379C2214yes—
90#10622372C2214yes—
91#10622371C2214yes—
92#10622370C2214yes—
93C2×C11×#41C2311yescharacteristic
94C22×Dic22—21no—
95C22×Dic22—22no—
96C22×Dic22C2311yescharacteristic
97C22×C8×C11C2312yes—
98C11×C4⋊Q8C2311yescharacteristic
99C11×C4⋊Q8C2311yescharacteristic
100C11×#125C2312yes—
101C11×C22⋊Q8—21no—
102C11×C22⋊Q8—21no—
103C4×Q8×C11—21no—
104C4×Q8×C11—21no—
105C4×Q8×C11C2311yescharacteristic
106C4×Q8×C11C2311yescharacteristic
107C4×D4×C11—21no—
108C4×D4×C11—21no—
109C4×D4×C11C2311yescharacteristic
110C4×D4×C11C2311yescharacteristic
111C11×#117—21no—
112C11×#117C2312yes—
113C11×#117C2311yescharacteristic
114C2×C42×C11—21no—
115C2×C42×C11C2311yescharacteristic
116#67004Q818yescomplemented
117Q8×Dic11—22no—
118Q8×Dic11C2314yes—
119#66997—22no—
120#66997—24no—
121C2×#4326C2312yes—
122D4×Dic11—24no—
123D4×Dic11C2314yes—
124C2×#4324C2312yes—
125#66979—22no—
126#66979C2312yes—
127C2×C4⋊Dic11—21no—
128C2×C4⋊Dic11—22no—
129C2×C4⋊Dic11—22no—
130C2×C4⋊Dic11C2311yescharacteristic
131C2×C4⋊Dic11C2312yes—
132#66977—22no—
133#66977—22no—
134#66977D412yes—
135#66977D412yes—
136C2×Dic11⋊C4—21no—
137C2×C4×Dic11—21no—
138C2×#4318C2311yescharacteristic
139C2×#4318C2311yescharacteristic
140#66943—24no—
141#66943C2314yes—
142#66943C2314yes—
143#66942—24no—
144#66942—24no—
145#66942—24no—
146#66941—24no—
147#66941—22no—
148#66941—24no—
149#66941C2314yes—
150#66941C2314yes—
151#66940—22no—
152#66940—24no—
153#66940C2314yes—
154#66940C2314yes—
155#66931—24no—
156#66931—24no—
157#66931—24no—
158#66931—24no—
159#66930—24no—
160#66923—22no—
161#66923—22no—
162#66923D412yes—
163#66922—22no—
164#66922—21no—
165#66922—21no—
166#66922—22no—
167#66922—22no—
168#66922—22no—
169#66922D411yescharacteristic
170#66922D411yescharacteristic
171#66922C2312yes—
172#66922C2312yes—
173C4×Dic22—22no—
174C4×Dic22—21no—
175C4×Dic22—21no—
176C4×Dic22—22no—
177C4×Dic22—22no—
178C4×Dic22—22no—
179C4×Dic22C2312yes—
180C4×Dic22C2312yes—
181C4×Dic22C2312yes—
182C4×Dic22C2312yes—
183C11×#107C2312yes—
184C11×#107C2312yes—
185C11×#106C2312yes—
186C11×#106C2312yes—
187C11×C4⋊C8C2312yes—
188C11×C4⋊C8C2311yescharacteristic
189C11×C4⋊C8C2311yescharacteristic
190C11×#103C2312yes—
191C11×#103C2312yes—
192C11×#102C2312yes—
193C11×#102C2312yes—
194#66899C2312yes—
195#66896C2312yes—
196#66882C2314yes—
197#66882C2314yes—
198#66880C2314yes—
199#66880C2314yes—
200#66879C2314yes—
201Dic11⋊C8C2314yes—
202Dic11⋊C8C2314yes—
203C8×Dic11C2314yes—
204#66874C2312yes—
205#66874C2312yes—
206#66872C2314yes—
207#66872C2312yes—
208#66872C2314yes—
209#66871C2312yes—
210#66871C2314yes—
211#66871C2314yes—
212#66867C2312yes—
213C4×C11⋊C8C2312yes—
214#61384—111nomaximal, Sylow
215C11×#41—22no—
216C11×#41C2×Q814yes—
217C2×Q8×C11—21no—
218C2×Q8×C11—21no—
219C2×Q8×C11C2411yescharacteristic
220C2×D4×C11—21no—
221C2×D4×C11C2411yescharacteristic
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11—21no—
225C22×C4×C11C2×D411yescharacteristic
226C22×C4×C11C2×D411yescharacteristic
227C22×C4×C11C2411yescharacteristic
228C22×Dic11—24no—
229C22×Dic11—21no—
230C22×Dic11—21no—
231C22×Dic11—22no—
232C2×Dic22—24no—
233C2×Dic22—24no—
234C2×Dic22—21no—
235C2×Dic22—22no—
236C2×Dic22—22no—
237C2×Dic22—22no—
238C2×Dic22—82no—
239C2×Dic22—84no—
240C2×Dic22C2×D412yes—
241C2×Dic22C2×D412yes—
242C2×Dic22C2×Q814yescomplemented
243C2×Dic22C2412yes—
244C2×C8×C11—24no—
245C2×C8×C11C2412yes—
246C2×C8×C11C2412yes—
247C11×C4⋊C4—21no—
248C11×C4⋊C4—22no—
249C11×C4⋊C4—21no—
250C11×C4⋊C4—22no—
251C11×C4⋊C4—21no—
252C11×C4⋊C4—21no—
253C11×C4⋊C4C2412yes—
254C11×C4⋊C4C2411yescharacteristic
255C11×C4⋊C4C2412yes—
256C11×C4⋊C4C2411yescharacteristic
257C11×C22⋊C4—22no—
258C11×C22⋊C4—21no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C42×C11—21no—
262C42×C11—21no—
263C42×C11—22no—
264C42×C11—21no—
265C42×C11C2×D411yescharacteristic
266C42×C11C2×D411yescharacteristic
267C42×C11C2411yescharacteristic
268C42×C11C2411yescharacteristic
269C22⋊Dic11—24no—
270C22⋊Dic11C2×D414yes—
271#4326C2×Q818yescomplemented
272#4324C2×Q818yescomplemented
273C4⋊Dic11—24no—
274C4⋊Dic11—24no—
275C4⋊Dic11—24no—
276C4⋊Dic11—21no—
277C4⋊Dic11—22no—
278C4⋊Dic11—22no—
279C4⋊Dic11—22no—
280C4⋊Dic11C2×D412yes—
281C4⋊Dic11C2×D412yes—
282C4⋊Dic11C2×D412yes—
283C4⋊Dic11C2×D412yes—
284C4⋊Dic11C2414yes—
285C4⋊Dic11C2412yes—
286Dic11⋊C4—24no—
287Dic11⋊C4—24no—
288Dic11⋊C4—24no—
289Dic11⋊C4—24no—
290Dic11⋊C4—24no—
291Dic11⋊C4—24no—
292Dic11⋊C4—22no—
293Dic11⋊C4—22no—
294Dic11⋊C4C2×D414yes—
295Dic11⋊C4C2×D414yes—
296C4×Dic11—24no—
297C4×Dic11—24no—
298C4×Dic11—24no—
299C4×Dic11—22no—
300C4×Dic11—22no—
301C4×Dic11C2414yes—
302#4318—22no—
303#4318C2×Q814yescomplemented
304C2×C11⋊C8C2412yes—
305C2×C11⋊C8C2412yes—
306#3503—111no—
307#3502—111no—
308#3390—114no—
309#3387—112no—
310#3386—114no—
311#3385—112no—
312Q8×Q16—112no—
313#3381—112no—
314#3165—111no—
315#3164—112no—
316#3083—112no—
317#3082—112no—
318#3076D1111yescharacteristic
319C2×#477—111no—
320#2962—111no—
321#2947—112no—
322C4×#137—111no—
323C23×C11—21no—
324C23×C11C22×D411yescharacteristic
325Q8×C11—21no—
326Q8×C11—42no—
327Q8×C11—81no—
328Q8×C11C22×Q812yes—
329D4×C11—24no—
330D4×C11—21no—
331D4×C11C22×Q812yes—
332C2×C4×C11—21no—
333C2×C4×C11—24no—
334C2×C4×C11—22no—
335C2×C4×C11—22no—
336C2×C4×C11—22no—
337C2×C4×C11—21no—
338C2×C4×C11—21no—
339C2×C4×C11—41no—
340C2×C4×C11—42no—
341C2×C4×C11—42no—
342C2×C4×C11C22×D411yescharacteristic
343C2×C4×C11C22×D411yescharacteristic
344C2×C4×C11C22×D411yescharacteristic
345C2×C4×C11C22×D411yescharacteristic
346C2×C4×C11C22×D411yescharacteristic
347C2×C4×C11C22×Q812yes—
348C2×C4×C112−1+412yes—
349C2×C4×C11C2511yescharacteristic
350C2×Dic11—24no—
351C2×Dic11—22no—
352C2×Dic11—22no—
353C2×Dic11—24no—
354C2×Dic11—84no—
355C2×Dic11—82no—
356C2×Dic11—81no—
357C2×Dic11C22×D414yes—
358C2×Dic11C22×D414yes—
359Dic22—24no—
360Dic22—24no—
361Dic22—22no—
362Dic22—42no—
363Dic22—44no—
364Dic22—84no—
365Dic22—84no—
366Dic22—82no—
367Dic22C22×Q814yes—
368C8×C11—22no—
369C8×C11—22no—
370C11⋊C8—22no—
371C11⋊C8C22×Q814yes—
372C2×#137—111no—
373Q82—112no—
374Q82—112no—
375Q82—221no—
376#557—112no—
377#557—114no—
378#557—112no—
379#557—222no—
380#557—221no—
381#554—112no—
382#554—222no—
383D4×Q8—112no—
384D4×Q8—222no—
385#544—112no—
386#544—112no—
387#544—222no—
388#544—222no—
389#533—111no—
390#533—221no—
391#533—222no—
392#533C2×D1111yescharacteristic
393C2×C4⋊Q8—111no—
394C2×C4⋊Q8—221no—
395#520—112no—
396#519—112no—
397C4×#41C2×D1111yescharacteristic
398C2×C4×Q8—111no—
399#501—114no—
400#501—114no—
401#501—114no—
402#500—112no—
403#500—114no—
404#499—114no—
405#498—112no—
406#479—114no—
407#479—114no—
408#479—114no—
409#479C2×D1112yes—
410#478—114no—
411#478C2×D1112yes—
412#477—114no—
413#477—112no—
414#477—112no—
415#477—114no—
416#477—114no—
417#477C2×D1111yescharacteristic
418#476C2×D1111yescharacteristic
419#475—114no—
420#475C2×D1111yescharacteristic
421#474—114no—
422#474C2×D1111yescharacteristic
423#446—112no—
424#446—114no—
425C8×Q8—112no—
426#441—112no—
427#441—114no—
428#440—112no—
429#440—114no—
430C4×Q16—112no—
431C4×Q16—114no—
432C4×SD16—112no—
433C4×SD16—114no—
434#428—112no—
435#428—111no—
436#428—112no—
437#427C2×D1112yes—
438C2×#107—112no—
439#424—112no—
440C2×C4⋊C8C2×D1111yescharacteristic
441#419—111no—
442#417—111no—
443#416C2×D1112yes—
444C2×#103—112no—
445#405—112no—
446C4×M16—111no—
447C22×C11—21no—
448C22×C11—21no—
449C22×C11—22no—
450C22×C11—41no—
451C22×C11—41no—
452C22×C11D4×Q812yes—
453C22×C11C23×D411yescharacteristic
454C4×C11—21no—
455C4×C11—21no—
456C4×C11—22no—
457C4×C11—21no—
458C4×C11—41no—
459C4×C11—42no—
460C4×C11—41no—
461C4×C11—42no—
462C4×C11D4×Q812yes—
463C4×C11#57812yes—
464C4×C11C23×Q811yescharacteristic
465C4×C11C2×2−1+411yescharacteristic
466Dic11—24no—
467Dic11—24no—
468Dic11—24no—
469Dic11—44no—
470Dic11—42no—
471C2×#41C22×D1111yescharacteristic
472C22×Q8—111no—
473C22×Q8—222no—
474C22×Q8—221no—
475#137—118no—
476C2×Q16—112no—
477C2×SD16—112no—
478C2×M16—111no—
479C2×M16—111no—
480C22×C8C22×D1112yes—
481C4⋊Q8—114no—
482C4⋊Q8—114no—
483C4⋊Q8—111no—
484C4⋊Q8—111no—
485C4⋊Q8—112no—
486C4⋊Q8—112no—
487C4⋊Q8—222no—
488C4⋊Q8—222no—
489C4⋊Q8—222no—
490C4⋊Q8—222no—
491C4⋊Q8—222no—
492C4⋊Q8—224no—
493C4⋊Q8—224no—
494C4⋊Q8—224no—
495C4⋊Q8—222no—
496C4⋊Q8—221no—
497C4⋊Q8—221no—
498C4⋊Q8C22×D1111yescharacteristic
499C4⋊Q8C22×D1111yescharacteristic
500#125—114no—
501#125—114no—
502#125—112no—
503#125—222no—
504#125—222no—
505#125—224no—
506#125—224no—
507#125—224no—
508#125—224no—
509#125C22×D1112yes—
510C22⋊Q8—21no—
511C22⋊Q8—21no—
512C22⋊Q8—112no—
513C22⋊Q8—112no—
514C22⋊Q8—224no—
515C22⋊Q8—224no—
516C22⋊Q8—224no—
517C22⋊Q8—224no—
518C22⋊Q8—222no—
519C22⋊Q8—222no—
520C4×Q8—21no—
521C4×Q8—21no—
522C4×Q8—112no—
523C4×Q8—112no—
524C4×Q8—114no—
525C4×Q8—114no—
526C4×Q8—114no—
527C4×Q8—112no—
528C4×Q8—112no—
529C4×Q8—222no—
530C4×Q8—222no—
531C4×Q8—222no—
532C4×Q8—222no—
533C4×Q8—224no—
534C4×Q8—222no—
535C4×Q8—222no—
536C4×Q8—221no—
537C4×Q8—221no—
538C4×Q8C22×D1111yescharacteristic
539C4×Q8C22×D1111yescharacteristic
540C4×D4—21no—
541C4×D4—21no—
542C4×D4—114no—
543C4×D4—224no—
544C4×D4C22×D1111yescharacteristic
545C4×D4C22×D1111yescharacteristic
546#117—21no—
547#117—112no—
548#117—224no—
549#117—222no—
550#117C22×D1111yescharacteristic
551#117C22×D1112yes—
552C2×C4⋊C4—111no—
553C2×C4⋊C4—112no—
554C2×C4⋊C4—222no—
555C2×C4⋊C4—222no—
556C2×C4⋊C4—221no—
557C2×C4⋊C4—221no—
558C2×C42—21no—
559C2×C42—221no—
560C2×C42C22×D1111yescharacteristic
561#107—114no—
562#107—114no—
563#107—112no—
564#107—114no—
565#107—114no—
566#107C22×D1112yes—
567#107C22×D1112yes—
568#106—114no—
569#106—112no—
570#106—114no—
571#106C22×D1112yes—
572#106C22×D1112yes—
573C4⋊C8—114no—
574C4⋊C8—114no—
575C4⋊C8C22×D1111yescharacteristic
576C4⋊C8C22×D1111yescharacteristic
577C4⋊C8C22×D1112yes—
578#103—112no—
579#103—114no—
580#103—114no—
581#103—112no—
582#103—112no—
583#103C22×D1112yes—
584#103C22×D1112yes—
585#102—112no—
586#102C22×D1112yes—
587#102C22×D1112yes—
588#97—114no—
589#97—112no—
590C4×C8—114no—
591C4×C8—112no—
592C2×C11—22no—
593C2×C11—42no—
594C2×C11C2×D4×Q811yescharacteristic
595C2×C11C2×#57811yescharacteristic
596C2×C11#358511yescharacteristic
597#41—22no—
598#41Q8×D1114yes—
599C2×Q8—21no—
600C2×Q8—21no—
601C2×Q8—112no—
602C2×Q8—112no—
603C2×Q8—114no—
604C2×Q8—112no—
605C2×Q8—224no—
606C2×Q8—224no—
607C2×Q8—221no—
608C2×Q8—222no—
609C2×Q8—222no—
610C2×Q8—222no—
611C2×Q8—882no—
612C2×Q8—884no—
613C2×Q8C23×D1111yescharacteristic
614C2×D4—21no—
615C2×D4C23×D1111yescharacteristic
616C22×C4—21no—
617C22×C4—21no—
618C22×C4—21no—
619C22×C4—224no—
620C22×C4—221no—
621C22×C4—221no—
622C22×C4—222no—
623C22×C4D4×D1111yescharacteristic
624C22×C4D4×D1111yescharacteristic
625C22×C4C23×D1111yescharacteristic
626Q16—118no—
627SD16—118no—
628M16—114no—
629M16—222no—
630C2×C8—24no—
631C2×C8—112no—
632C2×C8—112no—
633C2×C8C23×D1112yes—
634C2×C8C23×D1112yes—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—22no—
638C4⋊C4—21no—
639C4⋊C4—21no—
640C4⋊C4—22no—
641C4⋊C4—112no—
642C4⋊C4—112no—
643C4⋊C4—112no—
644C4⋊C4—114no—
645C4⋊C4—112no—
646C4⋊C4—114no—
647C4⋊C4—112no—
648C4⋊C4—114no—
649C4⋊C4—224no—
650C4⋊C4—224no—
651C4⋊C4—224no—
652C4⋊C4—224no—
653C4⋊C4—224no—
654C4⋊C4—224no—
655C4⋊C4—224no—
656C4⋊C4—224no—
657C4⋊C4—224no—
658C4⋊C4—222no—
659C4⋊C4—221no—
660C4⋊C4—222no—
661C4⋊C4—222no—
662C4⋊C4—222no—
663C4⋊C4—222no—
664C4⋊C4C23×D1112yes—
665C4⋊C4C23×D1112yes—
666C4⋊C4C23×D1111yescharacteristic
667C4⋊C4C23×D1111yescharacteristic
668C22⋊C4—22no—
669C22⋊C4—21no—
670C22⋊C4—21no—
671C22⋊C4—21no—
672C22⋊C4—114no—
673C22⋊C4—224no—
674C42—21no—
675C42—21no—
676C42—21no—
677C42—22no—
678C42—114no—
679C42—224no—
680C42—224no—
681C42—224no—
682C42—222no—
683C42—222no—
684C42D4×D1111yescharacteristic
685C42D4×D1111yescharacteristic
686C42C23×D1111yescharacteristic
687C42C23×D1111yescharacteristic
688C11#6138411yescharacteristic, complemented, Sylow
689C23—21no—
690C23C2×D4×D1111yescharacteristic
691Q8—21no—
692Q8—42no—
693Q8—81no—
694Q8—114no—
695Q8—224no—
696Q8—224no—
697Q8—222no—
698Q8—442no—
699Q8—444no—
700Q8—882no—
701Q8—884no—
702Q8—884no—
703Q8C2×Q8×D1112yes—
704D4—24no—
705D4—21no—
706D4C2×Q8×D1112yes—
707C2×C4—21no—
708C2×C4—22no—
709C2×C4—24no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—22no—
713C2×C4—22no—
714C2×C4—41no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—114no—
718C2×C4—114no—
719C2×C4—224no—
720C2×C4—222no—
721C2×C4—222no—
722C2×C4—224no—
723C2×C4—884no—
724C2×C4—882no—
725C2×C4—881no—
726C2×C4C2×D4×D1111yescharacteristic
727C2×C4C2×D4×D1111yescharacteristic
728C2×C4C2×D4×D1111yescharacteristic
729C2×C4C2×D4×D1111yescharacteristic
730C2×C4C2×D4×D1111yescharacteristic
731C2×C4C2×Q8×D1112yes—
732C2×C4#6704312yes—
733C2×C4C24×D1111yescharacteristic
734C8—22no—
735C8—22no—
736C8—114no—
737C8—222no—
738C22—21no—
739C22—21no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22#1062316312yes—
744C22C22×D4×D1111yescharacteristic
745C4—21no—
746C4—21no—
747C4—22no—
748C4—21no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—42no—
753C4—224no—
754C4—224no—
755C4—224no—
756C4—444no—
757C4—442no—
758C4#1062316312yes—
759C4#1062330212yes—
760C4C22×Q8×D1111yescharacteristic
761C4C2×#6704311yescharacteristic
762C2—22no—
763C2—42no—
764C2C2×#1062316311yescharacteristic
765C2C2×#1062330211yescharacteristic
766C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3076C2
socleC22×C11C23×D4
prime radicalC2×C11×#41C23
hypercenter#3076D11
hypocenterC11#61384
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3076

Complements

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

NH ≅ G/Ntype
2. #13082421C2semidirect
3. #13081582C2semidirect
4. #13081547C2semidirect
5. #13081532C2semidirect
6. #13081530C2semidirect
7. #13081497C2semidirect
8. #13081495C2semidirect
9. #13079163C2semidirect
10. #13079156C2semidirect
12. #13078461C2semidirect
13. C2×#10622463C2semidirect
14. #13077559C2semidirect
116. #67004Q8semidirect
242. C2×Dic22C2×Q8semidirect
271. #4326C2×Q8semidirect
272. #4324C2×Q8semidirect
303. #4318C2×Q8semidirect
688. C11#61384semidirect

Maximal subgroups

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

subgroupindex
#130824352
#130824212
#130815822
#130815472
#130815322
#130815302
#130814972
#130814952
#130791632
#130791562
#130784652
#130784612
C2×#106224632
#130775592
#130774622
C4×#670042
C11×#30762
#6138411