Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C139 ⋊ #494 |
122 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=f,b^2=df,c^2=e,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^1382230 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31804442, #31804452, #31804454, … |
| maximal normal subgroup of | #31804442, #31804452, #31804454, … |
| maximal quotient of | #31806001, #31806014, #31806022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 929);