Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C173 ⋊ #368 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,b^2=ce,c^2=ef,d^2=f,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^80,g^b=g^172,g^d=g^172710 conjugacy classes — view the full character table.
| maximal subgroup of | #36368718, #36368719, #36368728, … |
| maximal normal subgroup of | #36368718, #36368719, #36368728, … |
| maximal quotient of | #36368595, #36368596, #36368623, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1478);