Finite Group DatabasebetaFinite Group Databasebeta| order | 1824 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C19 · Schur multiplier (H2) = C22 |
| direct product | C2×C19×ΓL(1,𝔽25) |
| Fitting | C2×C3×C8×C19 ⋊ C2 |
| Hall | C3×C19 ⋊ C2×M16 |
| Sylow | C3 ⋊ C2×M16×C19 |
136 conjugacy classes of subgroups.
| transitive degree | μt(G) = 912 |
684 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1824, 879);