Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×#10621924 |
| Fitting | Q16×C173 ⋊ C4 |
| Sylow | C173 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
329 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×#10621924, Q32×#10621924, #36369959, … |
| maximal normal subgroup of | SD32×#10621924, Q32×#10621924, #36369959, … |
| maximal quotient of | Q16×#13063443, #36369150, #36369151, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1587);