Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #324 |
78 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=ce,g^a=g^80,d^b=de,g^b=g^172,g^d=g^172710 conjugacy classes — view the full character table.
| maximal subgroup of | #36368545, #36368546, #36368547, … |
| maximal normal subgroup of | #36368545, #36368546, #36368547, … |
| maximal quotient of | #36368382, #36368401, #36368500, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1395);