Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | #117×C109 ⋊ C2 |
| Sylow | C109 ⋊ #418 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,c^b=cf,d^b=df,g^b=g^1081102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28363000, #28363001, #28363408, … |
| maximal normal subgroup of | #28363000, #28363001, #28363408, … |
| maximal quotient of | #28361422, #28361448, #28361474, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 553);