Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C173 ⋊ C2 |
| Sylow | C173 ⋊ #393 |
202 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^1721742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352513, #36352518, #36352540, … |
| maximal normal subgroup of | #36352513, #36352518, #36352540, … |
| maximal quotient of | #36351805, #36351822, #36351834, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 460);