Finite Group DatabasebetaFinite Group Databasebeta| order | 5536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#14583836 |
| Sylow | C173 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
364 conjugacy classes — view the full character table.
| maximal subgroup of | #26012361, #26012367, #26012374, … |
| maximal normal subgroup of | #26012361, #26012367, #26012374, … |
| maximal quotient of | C2×#19149734, C4×#14583836, C2×#19149736, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5536, 232);