Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×C3×#4708 |
| Fitting | C2×C32×#97 ⋊ C2 |
| Sylow | C32 ⋊ C2×#405 |
1257 conjugacy classes of subgroups.
| transitive degree | μt(G) = 384 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 91194);