Finite Group DatabasebetaFinite Group Databasebeta| order | 2400 |
| isoclinism | isoclinic class of #1043⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C8 · Schur multiplier (H2) = C4 |
| direct product | C8×#1043⋊C3 |
| Fitting | C52×C8 ⋊ C3×C4 |
| derived, Sylow | C52 ⋊ C3×C4×C8 |
| Hall | C8×#1043 ⋊ C3 |
| Hall | C52⋊C3 ⋊ C4×C8 |
132 conjugacy classes of subgroups.
112 conjugacy classes — view the full character table.
| maximal subgroup of | C3×C8×#1043⋊C3, C8×AGL(1,𝔽25) |
| maximal normal subgroup of | C3×C8×#1043⋊C3, C8×AGL(1,𝔽25) |
| maximal quotient of | C3×C8×#1043⋊C3 |
Past the SmallGroups library coverage — no SmallGroups id.