Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D43 |
| Fitting | Q16×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
161 conjugacy classes — view the full character table.
| maximal subgroup of | SD32×D43, Q32×D43, #14583338, … |
| maximal normal subgroup of | SD32×D43, Q32×D43, #14583338, … |
| maximal quotient of | #103×D43, #107×D43, #14582991, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 162);