Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1112 |
| Fitting | C4×C8×C139 ⋊ C2 |
| Sylow | C139 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
2236 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31804364, #31804366, #31804370, … |
| maximal normal subgroup of | #31804364, #31804366, #31804370, … |
| maximal quotient of | C8×D1112, #31805235, #31805290, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 633);