Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C241 ⋊ #519 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=f,b^2=e,c^2=e,b^a=be,d^a=de,c^b=ce,g^c=g^2402434 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507558, #44507658, #44507661, … |
| maximal normal subgroup of | #44507558, #44507658, #44507661, … |
| maximal quotient of | #44509800, #44509801, #44509808, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1026);