Finite Group Databasebeta

← Group #314754

Character table — Group #314754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222444444444444444444444444161616161616161616161616161616161616161616161616
order12222222444444444444224444448888888888888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1
χ911111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-111-1-1
χ1011111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111-1-111-1-111-1-111
χ1111111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111
χ1211111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1111111-1-111-1-111-1-1
χ1311111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11-1-11111-1-111-1-1-1-111
χ1411111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-111-1-1-1-11111-1-1
χ1511111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-111-1-111-1-11111-1-1
χ1611111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-111-111-1-1-1-11111-1-1-1-111
χ17222222222-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000
χ18222222222-2-22222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000
χ19222222222-2-2-2-2-2-2222-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ2122222222-2222222-2-2-222-2-222-2-2-2-2000000000000000022-20000-20000000000000000
χ2222222222-2222222-2-2-222-2-222-2-2-2-20000000000000000-2-22000020000000000000000
χ2322222222-222-2-2-2-2-2-2-22222-2-2-2-22200000000000000002-220000-20000000000000000
χ2422222222-222-2-2-2-2-2-2-22222-2-2-2-2220000000000000000-22-2000020000000000000000
χ2522222222-2-2-22222-2-2-2-2-222-2-222-2-200000000000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-22222-2-2-2-2-222-2-222-2-20000000000000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000−2i2i2i−2i00000000
χ292-222-2-2-222002i2i−2i−2i-2-22000000002i−2i00002i2i−2i−2i22-2-200000000000000000000i2−i22−2i2−i22−2
χ302-222-2-2-222002i2i−2i−2i-2-22000000002i−2i00002i2i−2i−2i22-2-200000000000000000000−i2i2−22−i2i2−22
χ312-222-2-2-222002i2i−2i−2i-2-22000000002i−2i0000−2i−2i2i2i-2-22200000000000000000000i2−i22−2−i2i2−22
χ322-222-2-2-222002i2i−2i−2i-2-22000000002i−2i0000−2i−2i2i2i-2-22200000000000000000000−i2i2−22i2−i22−2
χ332-222-2-2-22200−2i−2i2i2i-2-2200000000−2i2i00002i2i−2i−2i-2-22200000000000000000000i2−i2−22−i2i22−2
χ342-222-2-2-22200−2i−2i2i2i-2-2200000000−2i2i00002i2i−2i−2i-2-22200000000000000000000−i2i22−2i2−i2−22
χ352-222-2-2-22200−2i−2i2i2i-2-2200000000−2i2i0000−2i−2i2i2i22-2-200000000000000000000i2−i2−22i2−i2−22
χ362-222-2-2-22200−2i−2i2i2i-2-2200000000−2i2i0000−2i−2i2i2i22-2-200000000000000000000−i2i22−2−i2i22−2
χ372-22-222-2-2-22-200002-222-200002-20000002-22-2000022-2-2000002i−2i02i−2i00000000000000
χ382-22-222-2-2-22-200002-222-200002-20000002-22-2000022-2-200000−2i2i0−2i2i00000000000000
χ392-22-222-2-2-22-200002-222-200002-2000000-22-220000-2-222000002i−2i0−2i2i00000000000000
χ402-22-222-2-2-22-200002-222-200002-2000000-22-220000-2-22200000−2i2i02i−2i00000000000000
χ412-22-222-2-2-2-2200002-22-220000-220000002-22-20000-2-2220002i−2i000002i−2i000000000000
χ422-22-222-2-2-2-2200002-22-220000-220000002-22-20000-2-222000−2i2i00000−2i2i000000000000
χ432-22-222-2-2-2-2200002-22-220000-22000000-22-22000022-2-20002i−2i00000−2i2i000000000000
χ442-22-222-2-2-2-2200002-22-220000-22000000-22-22000022-2-2000−2i2i000002i−2i000000000000
χ45444-4-4-44-440000004-4-4000000000044-4-4000000000000000000000000000000000000
χ46444-4-4-44-440000004-4-40000000000-4-444000000000000000000000000000000000000
χ47444-4-4-44-4-4000000-444000000000000004i−4i−4i4i00000000000000000000000000000000
χ48444-4-4-44-4-4000000-44400000000000000−4i4i4i−4i00000000000000000000000000000000
χ4944-444-4-4-40004-44-4000000000000022−2222−220000000022−2222−22000000000000000000000000
χ5044-444-4-4-40004-44-40000000000000−2222−222200000000−2222−2222000000000000000000000000
χ5144-444-4-4-4000-44-44000000000000022−2222−2200000000−2222−2222000000000000000000000000
χ5244-444-4-4-4000-44-440000000000000−2222−22220000000022−2222−22000000000000000000000000
χ5344-4-4-44-440440000000-4-40000000022−22−2222000022−2222−220000000000000000000000000000
χ5444-4-4-44-440440000000-4-400000000−222222−220000−2222−22220000000000000000000000000000
χ5544-4-4-44-440-4-40000000440000000022−22−22220000−2222−22220000000000000000000000000000
χ5644-4-4-44-440-4-400000004400000000−222222−22000022−2222−220000000000000000000000000000
χ574-444-4-4-44-4004i4i−4i−4i44-400000000−4i4i0000000000000000000000000000000000000000
χ584-444-4-4-44-400−4i−4i4i4i44-4000000004i−4i0000000000000000000000000000000000000000
χ594-44-444-4-444-40000-44-44-40000-44000000000000000000000000000000000000000000
χ604-44-444-4-44-440000-44-4-4400004-4000000000000000000000000000000000000000000
χ614-4-44-444-404-44i−4i−4i4i000-44004i−4i00000000000000000000000000000000000000000000
χ624-4-44-444-404-4−4i4i4i−4i000-4400−4i4i00000000000000000000000000000000000000000000
χ634-4-44-444-40-444i−4i−4i4i0004-400−4i4i00000000000000000000000000000000000000000000
χ644-4-44-444-40-44−4i4i4i−4i0004-4004i−4i00000000000000000000000000000000000000000000
χ654-4-4-44-4440000000000004-40000000000000022−22−222222−22−2222000000000000000000000000
χ664-4-4-44-4440000000000004-400000000000000−222222−22−222222−22000000000000000000000000
χ674-4-4-44-444000000000000-440000000000000022−22−2222−222222−22000000000000000000000000
χ684-4-4-44-444000000000000-4400000000000000−222222−2222−22−2222000000000000000000000000

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