Finite Group Databasebeta

← Group #490889

Character table — Group #490889

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444444444444444444441616161616161616161616161616161632323232
order1222444444888888882444888888888888888888884444888816161616161616162444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ71111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ91111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111
χ111111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ121111-1-1111111111111-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ131111-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1
χ161111-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000
χ192222222-2-2222220000-2-22-2000000-2-2-2-22200000000000000002−22−22−22−20000
χ202222222-2-2222220000-2-22-2000000-2-2-2-2220000000000000000−22−22−22−220000
χ212222222-2-22-2-2-2-20000-2-22-20000002222-2-200000000000000002−22−2−22−220000
χ222222222-2-22-2-2-2-20000-2-22-20000002222-2-20000000000000000−22−222−22−20000
χ23222222-222-2000022222-2-2-2-2-222-2-2000000000000002-22-20000000000000000
χ24222222-222-2000022222-2-2-2-2-222-2-200000000000000-22-220000000000000000
χ25222222-222-20000-2-2-2-22-2-2-222-2-2220000000000000000002i−2i2i−2i000000000000
χ26222222-222-20000-2-2-2-22-2-2-222-2-222000000000000000000−2i2i−2i2i000000000000
χ272222-2-222222222-2-2-2-2-2-2-22-2-22222-2-222-2-2-2-2-2-2222200000000000000000000
χ282222-2-22222-2-2-2-2-2-2-2-2-2-2-22-2-2222222-2-2222222-2-2-2-200000000000000000000
χ292222-2-22-2-222222000022-2-200000022-2-2-2-200000000000000002−2−222−2−220000
χ302222-2-22-2-222222000022-2-200000022-2-2-2-20000000000000000−222−2−222−20000
χ312222-2-22-2-22-2-2-2-2000022-2-2000000-2-2222200000000000000002−2−22−222−20000
χ322222-2-22-2-22-2-2-2-2000022-2-2000000-2-222220000000000000000−222−22−2−220000
χ332222-2-2-222-200002222-222-2-2-2-2-222000000000000002-2-220000000000000000
χ342222-2-2-222-200002222-222-2-2-2-2-22200000000000000-222-20000000000000000
χ352222-2-2-222-20000-2-2-2-2-222-22222-2-20000000000000000002i−2i−2i2i000000000000
χ362222-2-2-222-20000-2-2-2-2-222-22222-2-2000000000000000000−2i2i2i−2i000000000000
χ37444444-4-4-4-400000000-44-440000000000000000000000000000000000000000
χ384444-4-4-4-4-4-4000000004-4440000000000000000000000000000000000000000
χ3944-4-400400-444-4-42222−22−22000022−2200000000002222−22−22000000000000000000000000
χ4044-4-400400-444-4-4−22−2222220000−22220000000000−22−222222000000000000000000000000
χ4144-4-400400-4-4-4442222−22−22000022−220000000000−22−222222000000000000000000000000
χ4244-4-400400-4-4-444−22−2222220000−222200000000002222−22−22000000000000000000000000
χ4344-4-400-400400002222−22−220000−222200004i−4i000000002i22i2−2i2−2i200000000000000000000
χ4444-4-400-400400002222−22−220000−22220000−4i4i00000000−2i2−2i22i22i200000000000000000000
χ4544-4-400-40040000−22−222222000022−2200004i−4i00000000−2i2−2i22i22i200000000000000000000
χ4644-4-400-40040000−22−222222000022−220000−4i4i000000002i22i2−2i2−2i200000000000000000000
χ474-44-40004-402i2−2i22i2−2i20000000000004-4002i2−2i20000002i2−2i22i2−2i200000000000000000000
χ484-44-40004-402i2−2i22i2−2i2000000000000-44002i2−2i2000000−2i22i2−2i22i200000000000000000000
χ494-44-40004-40−2i22i2−2i22i20000000000004-400−2i22i2000000−2i22i2−2i22i200000000000000000000
χ504-44-40004-40−2i22i2−2i22i2000000000000-4400−2i22i20000002i2−2i22i2−2i200000000000000000000
χ514-44-4000-4402i2−2i22i2−2i24-44-4000000000000−2i22i2002i2−2i22i2−2i2000000000000000000000000
χ524-44-4000-4402i2−2i22i2−2i2-44-44000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ534-44-4000-440−2i22i2−2i22i24-44-40000000000002i2−2i200−2i22i2−2i22i2000000000000000000000000
χ544-44-4000-440−2i22i2−2i22i2-44-440000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ554-4-444i−4i00002i2−2i2−2i22i222−22−22220000002i2−2i200000022−222i−2i−2i2i2-2-2200000000000000000000
χ564-4-444i−4i00002i2−2i2−2i22i2−222222−22000000−2i22i200000022−22−2i2i2i−2i-222-200000000000000000000
χ574-4-444i−4i0000−2i22i22i2−2i222−22−22220000002i2−2i2000000−2222−2i2i2i−2i-222-200000000000000000000
χ584-4-444i−4i0000−2i22i22i2−2i2−222222−22000000−2i22i2000000−22222i−2i−2i2i2-2-2200000000000000000000
χ594-4-44−4i4i00002i2−2i2−2i22i222−22−2222000000−2i22i2000000−22222i−2i−2i2i-222-200000000000000000000
χ604-4-44−4i4i00002i2−2i2−2i22i2−222222−220000002i2−2i2000000−2222−2i2i2i−2i2-2-2200000000000000000000
χ614-4-44−4i4i0000−2i22i22i2−2i222−22−2222000000−2i22i200000022−22−2i2i2i−2i2-2-2200000000000000000000
χ624-4-44−4i4i0000−2i22i22i2−2i2−222222−220000002i2−2i200000022−222i−2i−2i2i-222-200000000000000000000

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