(C2×C2,C2×C2) ⋊ C3
Statistics
Order of group
48
GAP identifier
48,50
Presentation
Orders of elements
Centre
1
Derived subgroup
C2×C2×C2×C2
Automorphism group
a group of order 5760
Inner automorphism group
(C2×C2,C2×C2) ⋊ C3
"Out"
(quotient of above)
a group of order 120
Schur multiplier
a group of order 16
Sylow-2-subgroup
C2×C2×C2×C2
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7