Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
| unambiguous semidirect product | #13063443⋊C8 |
| Sylow | C173 ⋊ #322 |
66 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^a=g^80,g^c=g^172728 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#13063443⋊C8, #36368759, C8×#14583835, … |
| maximal normal subgroup of | C2×#13063443⋊C8, #36368759, C8×#14583835, … |
| maximal quotient of | #36368385, #13063443⋊C16, #36368481, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1391);