Finite Group DatabasebetaFinite Group Databasebeta| order | 5312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#14581715 |
| Sylow | C83 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
848 conjugacy classes — view the full character table.
| maximal subgroup of | #24907282, C4×#14581715, #24907292, … |
| maximal normal subgroup of | #24907282, C4×#14581715, #24907292, … |
| maximal quotient of | C2×#19127463, C4×#14581715, #24907397, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5312, 539);