Finite Group Databasebeta

← Group #486266

Character table — Group #486266

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444442222224444444442244444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-11-1-1-1-11111-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-11-1-111-1-1111-1-1-1-11111-11111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1-1-11-1-111-1-1111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-1-1-1111-1-111-1-11111-111-1-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-1-11-1-1-1-111111-1-111-1-1-1-1-111-1-1111-111-11-11-111-1-111-1-11-1
χ10111111-1-1-11-1-1-1-111111-1-111-1-1-1-1-111-1-111-111-111-11-1-1-111-1-111-11
χ11111111-1-1-11-1-1-1-111111-1-1-1-111-111-1-1-1-1111-111-1-11-11-1-111-1-1111-1
χ12111111-1-1-11-1-1-1-111111-1-1-1-111-111-1-1-1-111-111-11-11-1111-1-111-1-1-11
χ13111111-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-111111-1-11-11-1-1111-1-1-1-111-11
χ14111111-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-11-1-111-1-11-1-11111-1-11-1
χ15111111-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111111111-1-11-1-111-1-1-11111-1-1-11
χ16111111-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-11-1-11-111-111-1-1-1-1111-1
χ172222222222-2-2-2-222222-2-200002000022-2-200-20000000000000000
χ182222222222-2-2-2-2-2-2-2-2222000020000-2-2-2-20020000000000000000
χ19222222222-222-2-20000-2000022-20022002-20000000-2-20000000000
χ20222222222-222-2-20000-20000-2-2-200-2-2002-20000000220000000000
χ21222222222-2-2-2220000-2002200-2220000-2200000-2-2000000000000
χ22222222222-2-2-2220000-200-2-200-2-2-20000-220000022000000000000
χ23222222-2-2-22222222222220000-20000-2-2-2-200-20000000000000000
χ24222222-2-2-222222-2-2-2-22-2-20000-2000022-2-20020000000000000000
χ25222222-2-2-2-222-2-20000-20022002-2-20000-2200000-22000000000000
χ26222222-2-2-2-222-2-20000-200-2-2002220000-22000002-2000000000000
χ27222222-2-2-2-2-2-2220000-2000022200-2-2002-200000002-20000000000
χ28222222-2-2-2-2-2-2220000-20000-2-220022002-20000000-220000000000
χ292-2-22-22000-22-22-222-2-222-200000000000000000000002−22−22−22−200
χ302-2-22-22000-22-22-222-2-222-20000000000000000000000−22−22−22−2200
χ312-2-22-22000-22-22-2-2-2222-2200000000000000000000002−22−2−22−2200
χ322-2-22-22000-22-22-2-2-2222-220000000000000000000000−22−222−22−200
χ332-2-22-22000-2-22-2222-2-22-2200000000000000000000002−2−222−2−2200
χ342-2-22-22000-2-22-2222-2-22-220000000000000000000000−222−2−222−200
χ352-2-22-22000-2-22-22-2-22222-200000000000000000000002−2−22−222−200
χ362-2-22-22000-2-22-22-2-22222-20000000000000000000000−222−22−2−2200
χ374444-4-444-400000000000000000000000002-20-2200000000000000
χ384444-4-444-40000000000000000000000000-2202-200000000000000
χ394444-4-4-4-440000000000000000000000000220-2-200000000000000
χ404444-4-4-4-440000000000000000000000000-2-202200000000000000
χ4144-4-4004i−4i0000002i−2i2i−2i0002-22-202i−2i2i−2i2-2000000000000000000000
χ4244-4-4004i−4i0000002i−2i2i−2i000-22-220−2i2i−2i2i2-2000000000000000000000
χ4344-4-4004i−4i000000−2i2i−2i2i0002-2-2202i−2i−2i2i-22000000000000000000000
χ4444-4-4004i−4i000000−2i2i−2i2i000-222-20−2i2i2i−2i-22000000000000000000000
χ4544-4-400−4i4i0000002i−2i2i−2i0002-2-220−2i2i2i−2i-22000000000000000000000
χ4644-4-400−4i4i0000002i−2i2i−2i000-222-202i−2i−2i2i-22000000000000000000000
χ4744-4-400−4i4i000000−2i2i−2i2i0002-22-20−2i2i−2i2i2-2000000000000000000000
χ4844-4-400−4i4i000000−2i2i−2i2i000-22-2202i−2i2i−2i2-2000000000000000000000
χ494-4-44-4400044-4-440000-40000000000000000000000000000000000
χ504-4-44-440004-444-40000-40000000000000000000000000000000000
χ518-88-800000000004i−4i−4i4i00000000000000000000000000000000000
χ528-88-80000000000−4i4i4i−4i00000000000000000000000000000000000
χ538-8-888-800000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).