Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 688 |
Polycyclic presentation:
2^5,43|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^42,c^b=ce,f^b=f^42350 conjugacy classes — view the full character table.
| maximal subgroup of | #102×D43, C2×#13063247, #14582894, … |
| maximal normal subgroup of | #102×D43, C2×#13063247, #14582894, … |
| maximal quotient of | #14582628, #14582634, #14582642, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 68);