Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10625018 |
| Sylow | C23 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
242 conjugacy classes — view the full character table.
| maximal subgroup of | #15671523, #15671524, C4×#10625018, … |
| maximal normal subgroup of | #15671523, #15671524, C4×#10625018, … |
| maximal quotient of | C2×#13092143, #15671721, #15671727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 529);