Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C103⋊C8) |
| Sylow | C103 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
1672 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27192986, #27192987, #27192990, … |
| maximal normal subgroup of | #27192986, #27192987, #27192990, … |
| maximal quotient of | C2×#20267515, C2×#20267517, #27193458, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 510);