Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10621883 |
| 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 | C4×#10621883, #14582990, #14582996, … |
| maximal normal subgroup of | C4×#10621883, #14582990, #14582996, … |
| maximal quotient of | C2×#13063246, C2×#13063248, C2×#13063256, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 160);