Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C173 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,d^2=f,b^a=bf,g^a=g^80,g^c=g^172,g^d=g^172728 conjugacy classes — view the full character table.
| maximal subgroup of | #36368388, #36368440, #36368456, … |
| maximal normal subgroup of | #36368388, #36368440, #36368456, … |
| maximal quotient of | #36368759, #36368771, #36368777, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1508);