Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#15693044 |
| Fitting | C2×Q16×C103 ⋊ C2 |
| Sylow | C103 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
742 conjugacy classes — view the full character table.
| maximal subgroup of | #27196850, #27196855, #27196892, … |
| maximal normal subgroup of | #27196850, #27196855, #27196892, … |
| maximal quotient of | C2×#20267786, C2×#20267828, C2×#20267873, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 1332);