Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C8×C257 ⋊ C2 |
| Sylow | C257 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=e,c^2=e,e^2=f,b^a=bd,g^b=g^256,g^c=g^2562600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45663112, #45663114, #45663117, … |
| maximal normal subgroup of | #45663112, #45663114, #45663117, … |
| maximal quotient of | #45663114, #45663119, #45663126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 614);