binary octahedral group

Also called  C2 ↑ S4.

Statistics

Order of group48
GAP identifier48,28
Presentation
Orders of elements
CentreC2
Derived subgroupSL(2,3)
Automorphism groupS4×C2
Inner automorphism groupS4
"Out" (quotient of above)C2
Schur multiplier1
Sylow-2-subgroupQ16
 

Index to regular maps

Orientable sphere | torus | 2 | 3 | 4 | 5 | 6
Non-orientable projective plane | 4 | 5 | 6 | 7