Finite Group DatabasebetaFinite Group Databasebeta| order | 8608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C269 ⋊ #100 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,269|a^2=d,d^2=e,b^a=bc,c^a=ce,f^a=f^187,d^b=de,f^d=f^268547 conjugacy classes — view the full character table.
| maximal subgroup of | #31771505, #31771506, #31771507, … |
| maximal normal subgroup of | #31771505, #31771506, #31771507, … |
| maximal quotient of | #31771448, #31771449, #31771460, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8608, 206);