Finite Group DatabasebetaFinite Group Databasebeta| order | 1200 |
| isoclinism | isoclinic class of D5×AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C8 · Schur multiplier (H2) = C2 |
| direct product | C3×D5×#170 |
| derived, Sylow | C52 ⋊ C2×C3×C8 |
| Hall | C3×C52 ⋊ C2×C8 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1200, 534);