Finite Group Databasebeta

← Group #484196

Character table — Group #484196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order1222222244444424444488882288888822224444444444441616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111-1-111-1-1-1-111-1111-1-111111-1-1-111-1-11-1111-11-11-1-1-111-1-111-1-111-1-1
χ101111-1-111-1-1-1-111-1111-1-111111-1-1-111-1-11-1-1-11-11-11-111-1-111-1-111-1-111
χ111111-1-111-1-1-1-111-1111-1-111111-1-1-111-1-1-1111-11-11-11-1-111-1-1-1-111-1-111
χ121111-1-111-1-1-1-111-1111-1-111111-1-1-111-1-1-11-1-1-11-11-1111-1-11111-1-111-1-1
χ131111-1-111-1-1-1-111-11-1-1111111-11-1-1-1-1111-1111-1-11-11-1-1-1-11111-1-1-1-111
χ141111-1-111-1-1-1-111-11-1-1111111-11-1-1-1-1111-1-1-11-1-11-111111-1-1-1-11111-1-1
χ151111-1-111-1-1-1-111-11-1-1111111-11-1-1-1-111-1111-111-11-1-1-1-1-111-1-11111-1-1
χ161111-1-111-1-1-1-111-11-1-1111111-11-1-1-1-111-11-1-1-111-11-11111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-22-222220000-2-200000000000000000000002−22−22−22−2
χ2022222222-2-2-2-2-2-22-222220000-2-20000000000000000000000−22−22−22−22
χ2122222222-2-2-2-2-2-22-2-2-2-2-200002200000000000000000000002−22−2−22−22
χ2222222222-2-2-2-2-2-22-2-2-2-2-20000220000000000000000000000−22−222−22−2
χ23222222-2-222-2-222-2-2000022-2-2002-2000000000022-2-200000000000000
χ24222222-2-222-2-222-2-2000022-2-2002-20000000000-2-22200000000000000
χ25222222-2-222-2-222-2-20000-2-22200-2200002200-2-2000000000000000000
χ26222222-2-222-2-222-2-20000-2-22200-220000-2-20022000000000000000000
χ272222-2-2222222-2-2-2-222-2-20000-2200000000000000000000002−2−222−2−22
χ282222-2-2222222-2-2-2-222-2-20000-220000000000000000000000−222−2−222−2
χ292222-2-2222222-2-2-2-2-2-22200002-200000000000000000000002−2−22−222−2
χ302222-2-2222222-2-2-2-2-2-22200002-20000000000000000000000−222−22−2−22
χ312222-2-222-2-2-2-222-2222-2-2-2-2-2-22-222-2-222000000000000000000000000
χ322222-2-222-2-2-2-222-22-2-222-2-2-2-2-222222-2-2000000000000000000000000
χ332222-2-2-2-2-2-222222-2000022-2-200-2200000000002-2-2200000000000000
χ342222-2-2-2-2-2-222222-2000022-2-200-220000000000-222-200000000000000
χ352222-2-2-2-2-2-222222-20000-2-222002-200002-200-22000000000000000000
χ362222-2-2-2-2-2-222222-20000-2-222002-20000-22002-2000000000000000000
χ37444444-4-4-4-444-4-4-440000000000000000000000000000000000000000
χ384444-4-4-4-444-4-4-4-4440000000000000000000000000000000000000000
χ3944-4-4004-400000000004i−4i22−2222−220000002i2−2i2000000000000000000000000
χ4044-4-4004-400000000004i−4i−2222−2222000000−2i22i2000000000000000000000000
χ4144-4-4004-40000000000−4i4i22−2222−22000000−2i22i2000000000000000000000000
χ4244-4-4004-40000000000−4i4i−2222−22220000002i2−2i2000000000000000000000000
χ4344-4-400-44000000004i−4i0022−22−222200002i2−2i200000000000000000000000000
χ4444-4-400-44000000004i−4i00−222222−220000−2i22i200000000000000000000000000
χ4544-4-400-4400000000−4i4i0022−22−22220000−2i22i200000000000000000000000000
χ4644-4-400-4400000000−4i4i00−222222−2200002i2−2i200000000000000000000000000
χ474-4-444-4004-4004-4000000000000000000002-20000002-2000000000000
χ484-4-444-4004-4004-400000000000000000000-22000000-22000000000000
χ494-4-444-400-4400-440000000000000000000000000000002-22-200000000
χ504-4-444-400-4400-44000000000000000000000000000000-22-2200000000
χ514-4-44-44004-400-440000000000000000000000000000002-2-2200000000
χ524-4-44-44004-400-44000000000000000000000000000000-222-200000000
χ534-4-44-4400-44004-4000000000000000000002-2000000-22000000000000
χ544-4-44-4400-44004-400000000000000000000-220000002-2000000000000
χ558-88-80000008i−8i00000000000000000000000000000000000000000000
χ568-88-8000000−8i8i00000000000000000000000000000000000000000000

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