Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C23 ⋊ #340 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=e,c^2=f,e^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 | #15671406, #15671407, #15671409, … |
| maximal normal subgroup of | #15671406, #15671407, #15671409, … |
| maximal quotient of | #15671232, #15671237, #15671256, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 312);