Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic188 |
| Sylow | C47 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1504 |
382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15688926, #15688928, #15688938, … |
| maximal normal subgroup of | #15688926, #15688928, #15688938, … |
| maximal quotient of | C2×#13093949, C2×#13093958, C4×Dic188, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 164);