Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | C2×#89437 |
| Fitting | C2×C7×#95 ⋊ C2 |
| Sylow | C7 ⋊ C2×#386 |
1576 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13249166, #13249186, #13274942, … |
| maximal normal subgroup of | #13249166, #13249186, #13274942, … |
| maximal quotient of | C2×(C2×D7)⋊#95, C2×#11727161, C2×#11727162, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5577);