Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C173 ⋊ #544 |
206 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,b^2=e,c^2=f,b^a=be,c^a=cf,d^a=de,g^a=g^172,c^b=ce1742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352502, #36352505, #36352536, … |
| maximal normal subgroup of | #36352502, #36352505, #36352536, … |
| maximal quotient of | #36356181, #36356187, #36356296, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1180);