Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10621884 |
| Fitting | C2×Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | #14582984, C4×#10621884, #14582997, … |
| maximal normal subgroup of | #14582984, C4×#10621884, #14582997, … |
| maximal quotient of | C2×#13063245, C2×#13063249, C2×#13063256, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 159);