Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C3×#83957 |
| Fitting | C2×C32×AGL(1,ℤ/8) ⋊ C2 |
| Sylow | C32 ⋊ #3021 |
1621 conjugacy classes of subgroups.
| transitive degree | μt(G) = 48 |
153 conjugacy classes — view the full character table.
| maximal subgroup of | #72257996 |
| maximal normal subgroup of | #72257996 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 99143);