Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#21440640 |
| Sylow | C241 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507835, #44507836, #44507838, … |
| maximal normal subgroup of | #44507835, #44507836, #44507838, … |
| maximal quotient of | C2×#29507586, C2×#29507612, C2×#29507622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1091);