Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊Dic257 |
| Sylow | C257 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16448 |
4136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662159, #45662160, #45662175, … |
| maximal normal subgroup of | #45662159, #45662160, #45662175, … |
| maximal quotient of | C4×#22551499, #45662547, #45662550, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 401);