Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C241 ⋊ #424 |
114 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=e,b^2=d,e^2=f,b^a=bd,g^a=g^240,c^b=cf2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44507721, #44507722, #44507732, … |
| maximal normal subgroup of | #44507721, #44507722, #44507732, … |
| maximal quotient of | #44506216, #44506220, #44506225, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 576);