Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic139 |
| Sylow | C139 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
994 conjugacy classes — view the full character table.
| maximal subgroup of | #31808248, D16×Dic139, SD32×Dic139, … |
| maximal normal subgroup of | #31808248, D16×Dic139, SD32×Dic139, … |
| maximal quotient of | D8×C139⋊C8, #31805234, #31805289, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 632);