Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C8 |
| direct product | C3×#69849 |
| Sylow | C32 ⋊ #1455 |
499 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D3×#1455, C3×#10784430, C3×#10784426, … |
| maximal normal subgroup of | C3×D3×#1455, C3×#10784430, C3×#10784426 |
| maximal quotient of | #72252901 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 7703);