Finite Group DatabasebetaFinite Group Databasebeta| order | 1944 |
| isoclinism | isoclinic class of #272 |
| automorphism | ? |
| homology | Abelianization (H1) = C8×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×#6180 |
| derived | H(3,𝔽3) ⋊ C8×C9 |
| Sylow | C9×H(3,𝔽3) ⋊ C8 |
284 conjugacy classes of subgroups.
| transitive degree | μt(G) = 648 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1944, 725);