Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C42×C173 ⋊ C4 |
| Sylow | C173 ⋊ #382 |
154 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,173|a^2=f,b^2=e,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 | #36368417, #36368418, #36368440, … |
| maximal normal subgroup of | #36368417, #36368418, #36368440, … |
| maximal quotient of | #36368739, #36368741, #36368749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1493);