Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C173 ⋊ #329 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,c^2=f,d^2=e,b^a=bc,c^a=ce,g^a=g^80,c^b=cf,d^b=def,g^d=g^172449 conjugacy classes — view the full character table.
| maximal subgroup of | #36368684, #36368685, C2×#26012346, … |
| maximal normal subgroup of | #36368684, #36368685, C2×#26012346, … |
| maximal quotient of | #36368379, #36368384, #36368439, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1404);