Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic556 |
| Sylow | C139 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
2236 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31804367, #31804369, #31804373, … |
| maximal normal subgroup of | #31804367, #31804369, #31804373, … |
| maximal quotient of | C8×Dic556, #31805256, #31805302, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 645);