Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#90528 |
| Fitting | C2×C7×2−1+4 ⋊ C2 |
| Sylow | C7 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
146 conjugacy classes — view the full character table.
| maximal subgroup of | #13369703, #13369711, #13369730, … |
| maximal normal subgroup of | #13369703, #13369711, #13369730, … |
| maximal quotient of | C2×#11740008, C2×#11741556, C2×#11740006, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19120);