Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #423 |
126 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^80,g^b=g^172,g^c=g^172,g^e=g^172716 conjugacy classes — view the full character table.
| maximal subgroup of | #36368417, #36368432, #36368448, … |
| maximal normal subgroup of | #36368417, #36368432, #36368448, … |
| maximal quotient of | #36369119, #36369122, #36369126, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1554);