Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C173 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^80,d^b=df,g^b=g^172,g^d=g^172710 conjugacy classes — view the full character table.
| maximal subgroup of | #36368533, #36368534, #36368535, … |
| maximal normal subgroup of | #36368533, #36368534, #36368535, … |
| maximal quotient of | #36368484, #36368500, #36368516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1446);