Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10625118 |
| Fitting | C22×Q8×C23 ⋊ C2 |
| Sylow | C23 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #15673782, #15673798, #15673800, … |
| maximal normal subgroup of | #15673782, #15673798, #15673800, … |
| maximal quotient of | C2×#13092282, C2×#13092307, C2×#13092318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1067);