Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#10621877 |
| Sylow | C43 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
356 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14582655, C43⋊#338, #14582658, … |
| maximal normal subgroup of | #14582655, C43⋊#338, #14582658, … |
| maximal quotient of | C2×#13063236, C4×#10621877, C2×C22⋊(C43⋊C8), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 151);