Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic103 |
| Sylow | C103 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
742 conjugacy classes — view the full character table.
| maximal subgroup of | #27196988, D16×Dic103, SD32×Dic103, … |
| maximal normal subgroup of | #27196988, D16×Dic103, SD32×Dic103, … |
| maximal quotient of | D8×C103⋊C8, #27193974, #27194029, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 632);