Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×#89438 |
| Fitting | C2×C7×#95 ⋊ C2 |
| Sylow | C7 ⋊ C2×C4×C22⋊C4 |
1360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #13243388, #13243400, #13243782, … |
| maximal normal subgroup of | #13243388, #13243400, #13243782, … |
| maximal quotient of | C2×Dic7×#95, C4×#89438, C2×(C2×D7)⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5531);