Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#14523339 |
| Sylow | C257 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662154, #45662155, #45662160, … |
| maximal normal subgroup of | #45662154, #45662155, #45662160, … |
| maximal quotient of | C2×#30656488, C2×#30656490, #45663068, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 570);