Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#21440642 |
| Sylow | C241 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
3868 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#29507462, C2×#29507464, C2×#29507465, … |
| maximal normal subgroup of | C2×#29507462, C2×#29507464, C2×#29507465, … |
| maximal quotient of | C2×#29507587, C2×#29507615, C2×#29507623, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1093);