Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C23 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=e,e^2=f,b^a=bd,g^a=g^22,c^b=cf248 conjugacy classes — view the full character table.
| maximal subgroup of | #15671517, #15671519, #15671525, … |
| maximal normal subgroup of | #15671517, #15671519, #15671525, … |
| maximal quotient of | #15671745, #15671749, #15671753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 516);