| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C3×#69408 |
| Fitting | C2×C32×#95 ⋊ C2 |
| Sylow | C32 ⋊ #1437 |
1821 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
288 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 7266);