Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#10625325 |
| Fitting | C2×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 752 |
382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15689210, C4×#10625325, #15689222, … |
| maximal normal subgroup of | #15689210, C4×#10625325, #15689222, … |
| maximal quotient of | C2×#13093946, C2×#13093949, C2×#13093956, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 161);