Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D23 |
| Fitting | C23×#106 ⋊ C2 |
| Sylow | C23 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
182 conjugacy classes — view the full character table.
| maximal subgroup of | D23×#360, D23×#365, C2×#106×D23, … |
| maximal normal subgroup of | D23×#360, D23×#365, C2×#106×D23, … |
| maximal quotient of | D23×#334, #15672151, #15672166, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 578);