Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C23 ⋊ #382 |
154 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
Polycyclic presentation:
2^6,23|a^2=f,b^2=e,c^2=d,b^a=bd,c^a=ce,g^b=g^22,g^c=g^22248 conjugacy classes — view the full character table.
| maximal subgroup of | #15671340, #15673405, #15673406, … |
| maximal normal subgroup of | #15671340, #15673405, #15673406, … |
| maximal quotient of | #15671623, #15671626, #15671653, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 414);