Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | D7×#482 |
| Fitting | C7×#482 ⋊ C2 |
| Sylow | C7 ⋊ C2×#482 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
95 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D7×#482, D7×#3091, D7×#3093, … |
| maximal normal subgroup of | C2×D7×#482, D7×#3091, D7×#3093, … |
| maximal quotient of | D7×#1825, D7×#1854, D7×#1875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 13581);