Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D23 |
| Fitting | C23×#97 ⋊ C2 |
| Sylow | C23 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D23×#329, D23×#330, #15671982, … |
| maximal normal subgroup of | D23×#329, D23×#330, #15671982, … |
| maximal quotient of | D23×#322, #15671683, #15671685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 496);