Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C42×C173 ⋊ C4 |
| Sylow | C173 ⋊ #383 |
138 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,b^2=de,c^2=d,b^a=bd,c^a=ce,g^a=g^80,g^f=g^172716 conjugacy classes — view the full character table.
| maximal subgroup of | #36368423, #36368424, #36368982, … |
| maximal normal subgroup of | #36368423, #36368424, #36368982, … |
| maximal quotient of | #36368739, #36368750, #36369490, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1494);