Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic139 |
| Sylow | C139 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
994 conjugacy classes — view the full character table.
| maximal subgroup of | #31808253, SD32×Dic139, #31808260, … |
| maximal normal subgroup of | #31808253, SD32×Dic139, #31808260, … |
| maximal quotient of | Q16×C139⋊C8, #31805255, #31805301, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 644);