Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C109 ⋊ #413 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|a^2=e,c^2=f,e^2=f,b^a=bd,d^a=df,g^a=g^108,e^b=ef1102 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28361154, #28361155, #28361160, … |
| maximal normal subgroup of | #28361154, #28361155, #28361160, … |
| maximal quotient of | #28361346, #28361350, #28361366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 533);