Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C173 ⋊ #419 |
150 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,b^2=f,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^172,c^b=cf,d^b=df,g^b=g^1721742 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36353537, #36353539, #36353930, … |
| maximal normal subgroup of | #36353537, #36353539, #36353930, … |
| maximal quotient of | #36351959, #36351985, #36352011, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 559);