Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10625011 |
| Sylow | C23 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #15675253, C4×#10625011, #15675265, … |
| maximal normal subgroup of | #15675253, C4×#10625011, #15675265, … |
| maximal quotient of | C2×#13092220, C2×#13092221, C2×#13092242, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 976);