Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22551528 |
| Sylow | C257 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
4124 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45662413, #45662414, #45662415, … |
| maximal normal subgroup of | #45662413, #45662414, #45662415, … |
| maximal quotient of | C2×#30656488, C2×#30656490, #45663068, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 595);