Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C109 ⋊ #462 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^108,e^c=ef775 conjugacy classes — view the full character table.
| maximal subgroup of | #462×D109, C2×#20295234, #28372483, … |
| maximal normal subgroup of | #462×D109, C2×#20295234, #28372483, … |
| maximal quotient of | #28362412, #28362416, #28362424, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 757);