Frob21

Also called  C7 ⋊ C3.

Statistics

Order of group21
GAP identifier21,1
Presentation< k,r | k7, r3, krk5r2 >
Orders of elements1 of 1, 2*7 of 3, 2*3 of 7
Centre1
Derived subgroupC7
Automorphism groupFrob42
Inner automorphism groupFrob21
"Out" (quotient of above)C2
Schur multiplier1
 

Permutation Diagrams


1-transitive on 7
points, even.

Cayley Graphs




rectification of {6,3}(1,3), type I

Index to regular maps

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