Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C241 ⋊ C2 |
| Sylow | C241 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=d,d^2=e,e^2=f,c^b=cf,g^c=g^2403880 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44505586, #44505588, #44509280, … |
| maximal normal subgroup of | #44505586, #44505588, #44509280, … |
| maximal quotient of | #44509040, #44509041, #44509057, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 965);