Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C173 ⋊ #448 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,g^b=g^1721223 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36352515, #36352516, #36352526, … |
| maximal normal subgroup of | #36352515, #36352516, #36352526, … |
| maximal quotient of | #36352485, #36352502, #36352553, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 687);