Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C109 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^33,d^b=df,g^b=g^108,g^d=g^108454 conjugacy classes — view the full character table.
| maximal subgroup of | #28378002, #28378003, #28378004, … |
| maximal normal subgroup of | #28378002, #28378003, #28378004, … |
| maximal quotient of | #28377953, #28377969, #28377985, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1446);