Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×D8×C173 ⋊ C2 |
| Sylow | C173 ⋊ #466 |
134 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^c=g^1721226 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36355473, #36355478, #36355483, … |
| maximal normal subgroup of | #36355473, #36355478, #36355483, … |
| maximal quotient of | #36352915, #36352920, #36352949, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 782);