Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#10591404 |
| Sylow | C32 ⋊ C2×#442 |
1385 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
132 conjugacy classes — view the full character table.
| maximal quotient of | #72222819, #72222822 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 94179);