Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| unambiguous semidirect product | D173⋊#131 |
| Sylow | C173 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,e^2=f,g^a=g^80,c^b=cf,g^d=g^172,g^e=g^172470 conjugacy classes — view the full character table.
| maximal subgroup of | #36369339, #36369343, #36369602, … |
| maximal normal subgroup of | #36369339, #36369343, #36369602, … |
| maximal quotient of | #36370123, C4×#19149766, C4×#19149767, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1625);