Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10625006 |
| 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 | #15673192, C4×#10625006, #15673319, … |
| maximal normal subgroup of | #15673192, C4×#10625006, #15673319, … |
| maximal quotient of | C2×#13092142, #15671720, #15671726, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 528);