Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C257 ⋊ C2 |
| Sylow | C257 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=d,b^2=e,d^2=f,c^b=cf,g^c=g^2564136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45665915, #45665918, #45666077, … |
| maximal normal subgroup of | #45665915, #45665918, #45666077, … |
| maximal quotient of | C8×#16861601, #45662602, #45662608, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 503);