Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #124×C257 ⋊ C2 |
| Sylow | C257 ⋊ #455 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4112 |
Polycyclic presentation:
2^6,257|a^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^256,d^c=df1808 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662467, #45662469, #45666310, … |
| maximal normal subgroup of | #45662467, #45662469, #45666310, … |
| maximal quotient of | #45663271, #45663276, #45663298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 726);