Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10625010 |
| Fitting | C2×Q16×C23 ⋊ C2 |
| Sylow | C23 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #15675246, C4×#10625010, #15675259, … |
| maximal normal subgroup of | #15675246, C4×#10625010, #15675259, … |
| maximal quotient of | C2×#13092217, C2×#13092221, C2×#13092244, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 972);