Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C23×#97 ⋊ C2 |
| Sylow | C23 ⋊ #433 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
Polycyclic presentation:
2^6,23|a^2=e,c^2=d,e^2=f,b^a=bd,g^a=g^22,c^b=cf,g^b=g^22248 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#433, C2×#13092479, #15682031, … |
| maximal normal subgroup of | D23×#433, C2×#13092479, #15682031, … |
| maximal quotient of | #15673150, #15673166, #15673257, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 611);