Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22551532 |
| Sylow | C257 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662399, #45662400, #45662401, … |
| maximal normal subgroup of | #45662399, #45662400, #45662401, … |
| maximal quotient of | C2×#30656513, C4×#22551532, C2×C22⋊#16861593, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 964);