Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C241 ⋊ #350 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^240,c^b=cf,d^b=df2428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #350×D241, C2×#29507501, #44509071, … |
| maximal normal subgroup of | #350×D241, C2×#29507501, #44509071, … |
| maximal quotient of | #44505371, #44505387, #44505400, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 333);