Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C257 ⋊ C4⋊C16 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
Polycyclic presentation:
2^6,257|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bc,g^b=g^2564136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C16×D257, C2×#30656555, #45666074, … |
| maximal normal subgroup of | C4⋊C16×D257, C2×#30656555, #45666074, … |
| maximal quotient of | #45662383, #45662389, #45662397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 367);