Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C23 ⋊ #462 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
Polycyclic presentation:
2^6,23|a^2=f,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^22,e^c=ef173 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#462, C2×#13092625, #15682848, … |
| maximal normal subgroup of | D23×#462, C2×#13092625, #15682848, … |
| maximal quotient of | #15672777, #15672781, #15672789, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 757);