Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#90441 |
| Fitting | C2×C7×#131 ⋊ C2 |
| Sylow | C7 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | #13269251, #13351498, #13351647, … |
| maximal normal subgroup of | #13269251, #13351498, #13351647, … |
| maximal quotient of | C2×#11735993, C2×#11741227, C2×#11735995, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18993);