Finite Group DatabasebetaFinite Group Databasebeta| order | 5312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#14581709 |
| Sylow | C83 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
842 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#14581709, #100×Dic83, #24907382, … |
| maximal normal subgroup of | C4×#14581709, #100×Dic83, #24907382, … |
| maximal quotient of | C2×#19127470, C4×#14581709, #24907384, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5312, 526);