Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4×D4×C23 ⋊ C2 |
| Sylow | C23 ⋊ #459 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^22,e^c=ef239 conjugacy classes — view the full character table.
| maximal subgroup of | #15672451, #15672453, #15672462, … |
| maximal normal subgroup of | #15672451, #15672453, #15672462, … |
| maximal quotient of | #15672738, #15672752, #15672762, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 744);