Finite Group Databasebeta

← Group #267550

Character table — Group #267550

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444448888888888888888888881616161616161616161616161616161632
order12222244444444444444422224888888888888888824444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111
χ5111111111111111111-1-1111-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1
χ6111111111111111111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ7111111111111111111-1-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11
χ8111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1
χ9111111111111-1-1-1-111111-1-111111-1-111-1-111-1-111111-1-1-1-11111-111-1-1-1-1-1
χ10111111111111-1-1-1-111111-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-1-1-11-1-111111
χ11111111111111-1-1-1-111111-1-1111-1-11111-1-1-1-111-1-1-1-1-11-1-11-1-1-11-111-1-1111
χ12111111111111-1-1-1-111111-1-1111-1-111-1-111-1-1111111-11-1-11-111-11-1-111-1-1-1
χ13111111111111-1-1-1-111-1-11-1-1-1-1-111-1-111-1-111-1-11111-11111-1-1-11-1-1-111-1-11
χ14111111111111-1-1-1-111-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-111-1111-1-111-1
χ15111111111111-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-111-11111-1-1-11111-1
χ16111111111111-1-1-1-111-1-11-1-1-1-1-1-1-111-1-111-1-11111111-111-11-1-1-1111-1-1-1-11
χ1722222222-222-22222-2-200-2-2-2000000022220000000000000000-2-20000000
χ1822222222-222-22222-2-200-2-2-20000000-2-2-2-20000000000000000220000000
χ1922222222-222-2-2-2-2-2-2-200-222000000022-2-20000000000000000-220000000
χ2022222222-222-2-2-2-2-2-2-200-2220000000-2-22200000000000000002-20000000
χ21222222-2-22-2-2222-2-2-2-22222-2-2-220000000000000000002-20000000000000
χ22222222-2-22-2-2222-2-2-2-2-2-222-222-2000000000000000000-220000000000000
χ23222222-2-22-2-22-2-222-2-2222-22-2-22000000000000000000-220000000000000
χ24222222-2-22-2-22-2-222-2-2-2-22-2222-20000000000000000002-20000000000000
χ25222222-2-2-2-2-2-222-2-22200-2-22000000000000000000000000000002i−2i2i−2i000
χ26222222-2-2-2-2-2-222-2-22200-2-2200000000000000000000000000000−2i2i−2i2i000
χ27222222-2-2-2-2-2-2-2-2222200-22-2000000000000000000000000000002i−2i−2i2i000
χ28222222-2-2-2-2-2-2-2-2222200-22-200000000000000000000000000000−2i2i2i−2i000
χ292222-2-22-222-2200002-222-2002-2-20022000000-2-200000200-2000000000000
χ302222-2-22-222-2200002-222-2002-2-200-2-20000002200000-2002000000000000
χ312222-2-22-222-2200002-2-2-2-200-2220022000000-2-200000-2002000000000000
χ322222-2-22-222-2200002-2-2-2-200-22200-2-20000002200000200-2000000000000
χ332222-2-2-222-2220000-2222-200-22-222000000-2-200000020000-200000000000
χ342222-2-2-222-2220000-2222-200-22-2-2-200000022000000-20000200000000000
χ352222-2-2-222-2220000-22-2-2-2002-2222000000-2-2000000-20000200000000000
χ362222-2-2-222-2220000-22-2-2-2002-22-2-20000002200000020000-200000000000
χ372-2-222-22-20-2202i−2i2i−2i00000000002−2i2−i22i−2i2-22−2i2−i2i2i2−i2−i2000000000000002−20
χ382-2-222-22-20-2202i−2i2i−2i00000000002−2i2−i2−2i2i-222−2i2−i2−i2−i2i2i200000000000000−220
χ392-2-222-22-20-2202i−2i2i−2i0000000000−22−i2i22i−2i2-2−22−i2i2−i2−i2i2i200000000000000−220
χ402-2-222-22-20-2202i−2i2i−2i0000000000−22−i2i2−2i2i-22−22−i2i2i2i2−i2−i2000000000000002−20
χ412-2-222-22-20-220−2i2i−2i2i00000000002−2−i2i22i−2i-222−2−i2i2i2i2−i2−i200000000000000−220
χ422-2-222-22-20-220−2i2i−2i2i00000000002−2−i2i2−2i2i2-22−2−i2i2−i2−i2i2i2000000000000002−20
χ432-2-222-22-20-220−2i2i−2i2i0000000000−22i2−i22i−2i-22−22i2−i2−i2−i2i2i2000000000000002−20
χ442-2-222-22-20-220−2i2i−2i2i0000000000−22i2−i2−2i2i2-2−22i2−i2i2i2−i2−i200000000000000−220
χ454444-4-44-4-44-4-40000-4400400000000000000000000000000000000000000
χ464444-4-4-44-4-44-400004-400400000000000000000000000000000000000000
χ4744-4-40000-40040000004i−4i0000000000000000002-22-20000002i−2i000000000
χ4844-4-40000-40040000004i−4i000000000000000000-22-22000000−2i2i000000000
χ4944-4-40000-4004000000−4i4i0000000000000000002-22-2000000−2i2i000000000
χ5044-4-40000-4004000000−4i4i000000000000000000-22-220000002i−2i000000000
χ514-4-444-4-4404-404i−4i−4i4i0000000000000000000000000000000000000000000
χ524-4-444-4-4404-40−4i4i4i−4i0000000000000000000000000000000000000000000
χ534-4-44-44440-4-4000000000000000002i2−2i2000000−2i22i2000000000000000000000
χ544-4-44-44440-4-400000000000000000−2i22i20000002i2−2i2000000000000000000000
χ554-4-44-44-4-404400000000000000022−22000000−222200000000000000000000000
χ564-4-44-44-4-4044000000000000000−222200000022−2200000000000000000000000
χ5788-8-80000800-800000000000000000000000000000000000000000000000
χ588-88-800000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ598-88-80000000000000000000000000000000000−2i22i22i2−2i200000000000000000

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