Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C43 ⋊ C2 |
| Sylow | C43 ⋊ #99 |
52 conjugacy classes of subgroups.
| minimal degree | μ(G) = 51 |
| transitive degree | μt(G) = 344 |
Polycyclic presentation:
2^5,43|a^2=d,b^a=bc,c^a=ce,d^b=de,f^b=f^42221 conjugacy classes — view the full character table.
| maximal subgroup of | #99×D43, C2×#13063239, #14582871, … |
| maximal normal subgroup of | #99×D43, C2×#13063239, #14582871, … |
| maximal quotient of | #14582622, #14582624, #14582632, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 60);