Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C109 ⋊ #364 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=d,b^2=c,c^2=f,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^33,g^d=g^108460 conjugacy classes — view the full character table.
| maximal subgroup of | #28377994, #28377995, #28377996, … |
| maximal normal subgroup of | #28377994, #28377995, #28377996, … |
| maximal quotient of | #28378054, #28378061, #28378077, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 1471);