Finite Group DatabasebetaFinite Group Databasebeta| order | 2352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | C22⋊C4×#3861 |
| Fitting, Hall | C72×C22⋊C4 ⋊ C3 |
| Sylow | C72 ⋊ C3×C22⋊C4 |
340 conjugacy classes of subgroups.
190 conjugacy classes — view the full character table.
| maximal subgroup of | #120×#3861, C22⋊C4×#64424, #72214976, … |
| maximal normal subgroup of | #120×#3861, C22⋊C4×#64424, #72214976, … |
| maximal quotient of | #99×#3861, #100×#3861, #104×#3861, … |
Past the SmallGroups library coverage — no SmallGroups id.