Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C23×M32 ⋊ C2 |
| Sylow | C23 ⋊ #510 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|b^2=f,d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^22,d^b=de,e^b=ef,g^b=g^22236 conjugacy classes — view the full character table.
| maximal subgroup of | #15675287, #15675290, #15675349, … |
| maximal normal subgroup of | #15675287, #15675290, #15675349, … |
| maximal quotient of | #15675110, #15675118, #15675185, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 992);