Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C109 ⋊ #473 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=f,b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^108,e^c=ef1096 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28365003, #28365005, #28365010, … |
| maximal normal subgroup of | #28365003, #28365005, #28365010, … |
| maximal quotient of | #28362397, #28362402, #28362421, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 824);