Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C216 |
| direct product | C23×#5244 |
| Fitting | C23×C3×H(5,𝔽2) ⋊ C2 |
| Sylow | C3 ⋊ C23×B(4,𝔽2) |
66140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C23×D3×B(4,𝔽2) |
| maximal normal subgroup of | C23×D3×B(4,𝔽2) |
Past the SmallGroups library coverage — no SmallGroups id.