Finite Group DatabasebetaFinite Group Databasebeta| order | 2000 |
| isoclinism | isoclinic class of #6953 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
| direct product | C8×#6953 |
| Fitting | C8×H(3,𝔽5) ⋊ C2 |
| derived, Sylow | H(3,𝔽5) ⋊ C2×C8 |
165 conjugacy classes of subgroups.
| transitive degree | μt(G) = 200 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2000, 183);