Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D824 |
| Fitting | C4×C8×C103 ⋊ C2 |
| Sylow | C103 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27193104, #27193106, #27193110, … |
| maximal normal subgroup of | #27193104, #27193106, #27193110, … |
| maximal quotient of | C8×D824, #27193975, #27194030, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 633);