Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C72 · Schur multiplier (H2) = C23×C7 |
| direct product | C2×C4×D3×C72 |
| Fitting | C2×C3×C4×C72 ⋊ C2 |
| derived, Sylow | C3 ⋊ C22×C4×C72 |
| Hall | C3×C72 ⋊ C22×C4 |
540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1176 |
1176 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C4×D3×C7⋊D7, C2×D3×C72×D4, C2×D3×C4⋊(C7⋊D7), … |
| maximal normal subgroup of | C2×C4×D3×C7⋊D7, C2×D3×C72×D4, C2×D3×C4⋊(C7⋊D7), … |
Past the SmallGroups library coverage — no SmallGroups id.