Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#90396 |
| Fitting | C2×C7×#126 ⋊ C2 |
| Sylow | C7 ⋊ C2×#551 |
1328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
134 conjugacy classes — view the full character table.
| maximal subgroup of | #13319990, #13320068, C4×#90396, … |
| maximal normal subgroup of | #13319990, #13320068, C4×#90396, … |
| maximal quotient of | C2×#11733277, C2×#11733278, C2×#11732748, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 17948);