Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C173 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=d,d^2=e,e^2=f,g^a=g^80,c^b=cf,g^b=g^172,g^d=g^172470 conjugacy classes — view the full character table.
| maximal subgroup of | #36369951, #36369952, #36369954, … |
| maximal normal subgroup of | #36369951, #36369952, #36369954, … |
| maximal quotient of | #36369773, #36369774, #36369794, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1608);