Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C4×C8×C241 ⋊ C2 |
| Sylow | C241 ⋊ #433 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=e,c^2=d,e^2=f,b^a=bd,c^b=cf,g^b=g^2403868 conjugacy classes. The character table is too large to display.
| maximal quotient of | #44507196, #44507212, #44507303, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 608);