Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C23 ⋊ #419 |
150 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=e,b^2=f,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^22,c^b=cf,d^b=df,g^b=g^22242 conjugacy classes — view the full character table.
| maximal subgroup of | #15673371, #15673373, #15673764, … |
| maximal normal subgroup of | #15673371, #15673373, #15673764, … |
| maximal quotient of | #15671793, #15671819, #15671845, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 559);