Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#21440552 |
| Sylow | C241 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
3880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505524, #44505528, #97×Dic241, … |
| maximal normal subgroup of | #44505524, #44505528, #97×Dic241, … |
| maximal quotient of | C2×#29507438, C2×#29507439, #44505734, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 497);