Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×D7×#124 |
| Fitting | C2×C7×#124 ⋊ C2 |
| Sylow | C7 ⋊ C22×#124 |
1880 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #13245261, #13269283, #13269300, … |
| maximal normal subgroup of | #13245261, #13269283, #13269300, … |
| maximal quotient of | C2×D7×#382, C2×D7×#388, C2×D7×#390, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 17902);