Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25×C3 |
| direct product | C2×#10590207 |
| Sylow | C32 ⋊ C2×#336 |
1026 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 17073);