Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C3 |
| direct product | C2×#10589372 |
| Sylow | C32 ⋊ C2×#368 |
432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
300 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#11797877 |
| maximal normal subgroup of | C2×#11797877 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 31260);