Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#22551590 |
| Sylow | C257 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
2588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45664710, #45664711, #45664713, … |
| maximal normal subgroup of | #45664710, #45664711, #45664713, … |
| maximal quotient of | C2×#30656606, C2×#30656632, C2×#30656642, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1091);