Finite Group Databasebeta

← Group #277170

Character table — Group #277170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-11
χ1211111111-1-1-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-11
χ1722222222222222-2-2-222-2-2-2-2-222-200000000000022-2-222-2-2000000000000000000
χ1822222222222222-2-2-222-2-2-2-2-222-2000000000000-2-222-2-222000000000000000000
χ19222222222222-2-2222-2-22-2-222-2-2-222-2-222-2-2000000000000000000000000000000
χ20222222222222-2-2222-2-22-2-222-2-2-2-2-222-2-222000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-2200000000000000000000000000002i−2i2i−2i000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-220000000000000000000000000000−2i2i−2i2i000000
χ2322222222-2-2-2-222-2-2-222-2-2-222-2-2200000000000022-2-2-2-222000000000000000000
χ2422222222-2-2-2-222-2-2-222-2-2-222-2-22000000000000-2-22222-2-2000000000000000000
χ2522222222-2-2-2-2-2-2222-2-22-2-2-2-222222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-22-2-2-2-2222-2-22222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000000000−2i2i2i−2i000000
χ292-222-22-2-22i2i−2i−2i2-20002-2000002i−2i00000000022−2−2002-2002i−2ii2i2−i2−i2000000002−2i2−i200
χ302-222-22-2-22i2i−2i−2i2-20002-2000002i−2i00000000022−2−200-2200−2i2ii2i2−i2−i200000000−22−i2i200
χ312-222-22-2-22i2i−2i−2i2-20002-2000002i−2i000000000−2−222002-2002i−2i−i2−i2i2i200000000−22−i2i200
χ322-222-22-2-22i2i−2i−2i2-20002-2000002i−2i000000000−2−22200-2200−2i2i−i2−i2i2i2000000002−2i2−i200
χ332-222-22-2-2−2i−2i2i2i2-20002-200000−2i2i00000000022−2−2002-200−2i2i−i2−i2i2i2000000002−2−i2i200
χ342-222-22-2-2−2i−2i2i2i2-20002-200000−2i2i00000000022−2−200-22002i−2i−i2−i2i2i200000000−22i2−i200
χ352-222-22-2-2−2i−2i2i2i2-20002-200000−2i2i000000000−2−222002-200−2i2ii2i2−i2−i200000000−22i2−i200
χ362-222-22-2-2−2i−2i2i2i2-20002-200000−2i2i000000000−2−22200-22002i−2ii2i2−i2−i2000000002−2−i2i200
χ372-2-2-222-220000222-2-2-2-222-20000000002-22-22i−2i2i−2i000000000000002i−2i0000000000
χ382-2-2-222-220000222-2-2-2-222-20000000002-22-2−2i2i−2i2i00000000000000−2i2i0000000000
χ392-2-2-222-220000222-2-2-2-222-2000000000-22-222i−2i2i−2i00000000000000−2i2i0000000000
χ402-2-2-222-220000222-2-2-2-222-2000000000-22-22−2i2i−2i2i000000000000002i−2i0000000000
χ412-2-2-222-220000-2-22-2-2222-220000000002-2-220000000000002-22-22-2000000000000
χ422-2-2-222-220000-2-22-2-2222-220000000002-2-22000000000000-22-22-22000000000000
χ432-2-2-222-220000-2-22-2-2222-22000000000-222-20000000000002-22-2-22000000000000
χ442-2-2-222-220000-2-22-2-2222-22000000000-222-2000000000000-22-222-2000000000000
χ45444-4-4-4-444-44-40044-400-4004-400000000000000000000000000000000000000000
χ46444-4-4-4-444-44-400-4-4400400-4400000000000000000000000000000000000000000
χ47444-4-4-4-44-44-440044-400-400-4400000000000000000000000000000000000000000
χ48444-4-4-4-44-44-4400-4-44004004-400000000000000000000000000000000000000000
χ4944-4-4-444-400004-4000-4400000000000000002i2−2i2−2i22i200000000000000000000000000
χ5044-4-4-444-400004-4000-440000000000000000−2i22i22i2−2i200000000000000000000000000
χ5144-4-4-444-40000-440004-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ5244-4-4-444-40000-440004-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ534-444-44-4-44i4i−4i−4i-44000-4400000−4i4i000000000000000000000000000000000000000
χ544-444-44-4-4−4i−4i4i4i-44000-44000004i−4i000000000000000000000000000000000000000
χ554-44-44-44-44i−4i−4i4i0000000000000000000000000002i2−2i20022−2200000000000000000000
χ564-44-44-44-44i−4i−4i4i000000000000000000000000000−2i22i200−222200000000000000000000
χ574-44-44-44-4−4i4i4i−4i0000000000000000000000000002i2−2i200−222200000000000000000000
χ584-44-44-44-4−4i4i4i−4i000000000000000000000000000−2i22i20022−2200000000000000000000
χ594-4-44-4-4440000004-4400-40000000004i−4i0000000000000000000000000000000000
χ604-4-44-4-4440000004-4400-4000000000−4i4i0000000000000000000000000000000000
χ614-4-44-4-444000000-44-400400000004-4000000000000000000000000000000000000
χ624-4-44-4-444000000-44-40040000000-44000000000000000000000000000000000000
χ634-4-4-444-44000044-444-4-4-4-440000000000000000000000000000000000000000000
χ644-4-4-444-440000-4-4-44444-44-40000000000000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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