Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C23⋊#338 |
| Sylow | C23 ⋊ #338 |
86 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=e,c^2=f,d^2=f,e^2=f,b^a=bc,e^a=ef,d^b=df,g^b=g^22242 conjugacy classes — view the full character table.
| maximal subgroup of | #15671388, #15671389, #15671391, … |
| maximal normal subgroup of | #15671388, #15671389, #15671391, … |
| maximal quotient of | #15671227, #15671228, #15671268, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 307);