Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊(C139⋊C8) |
| Sylow | C139 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
2248 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31804246, #31804247, #31804250, … |
| maximal normal subgroup of | #31804246, #31804247, #31804250, … |
| maximal quotient of | C2×#22580677, C2×#22580679, #31804718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 510);