Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4×Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ #460 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^172,e^c=ef1739 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352622, #36352624, #36352628, … |
| maximal normal subgroup of | #36352622, #36352624, #36352628, … |
| maximal quotient of | #36352911, #36352923, #36352933, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 749);