Finite Group DatabasebetaFinite Group Databasebeta| order | 6976 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C4×C8×C109 ⋊ C2 |
| Sylow | C109 ⋊ #488 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,109|b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^1081750 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #488×D109, C2×#20295381, #28373353, … |
| maximal normal subgroup of | #488×D109, C2×#20295381, #28373353, … |
| maximal quotient of | #28363163, #28363708, #28363715, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6976, 904);