Finite Group DatabasebetaFinite Group Databasebeta| order | 5312 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#14581736 |
| Sylow | C83 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
596 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14581736, #24909318, #24909324, … |
| maximal normal subgroup of | C4×#14581736, #24909318, #24909324, … |
| maximal quotient of | C2×#19127502, C2×#19127504, C2×#19127528, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5312, 973);