Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C23 ⋊ #339 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=ef,g^a=g^22380 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#339, C2×#13092177, #15673105, … |
| maximal normal subgroup of | D23×#339, C2×#13092177, #15673105, … |
| maximal quotient of | #15671230, #15671234, #15671237, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 309);