Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C2×#10591665 |
| Sylow | C32 ⋊ C2×#453 |
1773 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×#5198, C2×#11864775, C2×D3×#5241 |
| maximal normal subgroup of | C2×D3×#5198, C2×#11864775, C2×D3×#5241 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 98797);