Finite Group Databasebeta

← Group #285113

Character table — Group #285113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488882444888888888888444444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-11-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-11
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1111-11-111-1-111-1-1-1-1-111-1
χ51111111111111111111-1-1-1-11111111111111-11-1-1-111-1-1-1-11-1-1-11-1
χ61111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1111-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-1111-1-11-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111-111
χ9111111111111111-1-1-1-1111111-1-111-1-111-1-1-11-11-1-1-1-1-1-1-1-111111-1
χ10111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11
χ11111111111111111-1-1-1-11111-1-111-1-11111-1-11-11-111-1-1-1-111111-1-1-1
χ12111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111111-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1111111-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-11-1-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11111111-1-1-111-11-1
χ1722222222-22-22-2-2-200002-2-222200-2-2000000020-200000000000000
χ1822222222-22-22-2-2-200002-2-22-2-200220000000-20200000000000000
χ1922222222-22-22-2-2-20000-222-22200-2-20000000-20200000000000000
χ2022222222-22-22-2-2-20000-222-2-2-20022000000020-200000000000000
χ21222222-2-2-2-2-2-2-22200000000002i−2i002i−2i000000002-200000002i−2i000
χ22222222-2-2-2-2-2-2-22200000000002i−2i002i−2i00000000-220000000−2i2i000
χ23222222-2-2-2-2-2-2-2220000000000−2i2i00−2i2i000000002-20000000−2i2i000
χ24222222-2-2-2-2-2-2-2220000000000−2i2i00−2i2i00000000-2200000002i−2i000
χ252222-2-22-22-222-22-200000000002200-2-2220020-2000000000-200000
χ262222-2-22-22-222-22-200000000002200-2-2-2-200-202000000000200000
χ272222-2-22-22-222-22-20000000000-2-200222200-202000000000-200000
χ282222-2-22-22-222-22-20000000000-2-20022-2-20020-2000000000200000
χ292222-2-2-22222-2-2-22222222-2-20000000000-2-2000000002-200000000
χ302222-2-2-22222-2-2-222222-2-2220000000000-2-200000000-2200000000
χ312222-2-2-22222-2-2-22-2-2-2-222-2-200000000002200000000-2200000000
χ322222-2-2-22222-2-2-22-2-2-2-2-2-222000000000022000000002-200000000
χ332222-2-2-22-22-2-222-200002-22-2002i−2i00−2i2i000000000000002i−2i000000
χ342222-2-2-22-22-2-222-200002-22-200−2i2i002i−2i00000000000000−2i2i000000
χ352222-2-2-22-22-2-222-20000-22-22002i−2i00−2i2i00000000000000−2i2i000000
χ362222-2-2-22-22-2-222-20000-22-2200−2i2i002i−2i000000000000002i−2i000000
χ37444444-4-44-44-44-4-400000000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000000
χ3944-4-4000040-400002222−22−2200000000000022−22000000002-20000000000
χ4044-4-4000040-400002222−22−22000000000000−222200000000-220000000000
χ4144-4-4000040-40000−22−22222200000000000022−2200000000-220000000000
χ4244-4-4000040-40000−22−222222000000000000−2222000000002-20000000000
χ434-4-444-4440-40-400022−2222−220000000000000022−22000000000000000000
χ444-4-444-4440-40-4000−2222−222200000000000000−2222000000000000000000
χ454-4-444-4-4-404040000000000000004-4000000000000000000000000
χ464-4-444-4-4-40404000000000000000-44000000000000000000000000
χ474-4-44-444-4040-4000000000004i−4i0000000000000000000000000000
χ484-4-44-444-4040-400000000000−4i4i0000000000000000000000000000
χ494-4-44-44-440-40400022−2222−2200000000000000−2222000000000000000000
χ504-4-44-44-440-404000−2222−22220000000000000022−22000000000000000000
χ5188-8-80000-808000000000000000000000000000000000000000000
χ528-88-8000000000004-4-440000000000000000000000000000000000
χ538-88-800000000000-444-40000000000000000000000000000000000

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