Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C23 ⋊ #354 |
70 conjugacy classes of subgroups.
| minimal degree | μ(G) = 39 |
| transitive degree | μt(G) = 368 |
Polycyclic presentation:
2^6,23|a^2=d,b^2=f,c^2=f,b^a=bc,c^a=ce,e^a=ef,c^b=cf,d^b=def,g^b=g^22,d^c=df134 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#354, C2×#13092211, #15675059, … |
| maximal normal subgroup of | D23×#354, C2×#13092211, #15675059, … |
| maximal quotient of | #15671330, #15671340, #15671396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 343);