Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C23 ⋊ #487 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
Polycyclic presentation:
2^6,23|a^2=f,b^2=e,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^22374 conjugacy classes — view the full character table.
| maximal subgroup of | #15672550, #15672551, #15672557, … |
| maximal normal subgroup of | #15672550, #15672551, #15672557, … |
| maximal quotient of | #15673525, #15674073, #15674199, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 900);