Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C139 ⋊ #467 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=f,b^2=df,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 | #31804415, #31804417, #31804421, … |
| maximal normal subgroup of | #31804415, #31804417, #31804421, … |
| maximal quotient of | #31805769, #31805774, #31805803, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 790);