Finite Group Databasebeta

← Group #280358

Character table — Group #280358

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-111-11-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-111-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ1111111111111111111-1-1-1-111111-1-1111111-1-1111111-1-1-1-11111-1-1-11-1-1-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11-11111-1-111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1111-1-11111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111
χ17222222222-22-2-222-2-20000-22222002222-2-2000000-2-200000000000-200000000000
χ18222222222-22-2-222-2-20000-2222200-2-2-2-222000000-2-200000000000200000000000
χ19222222222-22-2-222-2-20000-2-2-2-2-20022-2-2220000002200000000000-200000000000
χ20222222222-22-2-222-2-20000-2-2-2-2-200-2-222-2-20000002200000000000200000000000
χ2122222222-22-222-2-22-22222-2000022000000-2-222-2-2000000000000-2000000000000
χ2222222222-22-222-2-22-22222-20000-2-2000000-2-2-2-2220000000000002000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200002200000022-2-222000000000000-2000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000-2-20000002222-2-20000000000002000000000000
χ25222-2-2-2-220-202-200202i2i−2i−2i022−2−22-2000000002i−2i002−2i2i2−i2−i2i2i2−i2−i2000000002−200000
χ26222-2-2-2-220-202-200202i2i−2i−2i022−2−2-2200000000−2i2i002−2i2i2−i2−i2−i2−i2i2i200000000−2200000
χ27222-2-2-2-220-202-200202i2i−2i−2i0−2−2222-2000000002i−2i00−22−i2−i2i2i2−i2−i2i2i200000000−2200000
χ28222-2-2-2-220-202-200202i2i−2i−2i0−2−222-2200000000−2i2i00−22−i2−i2i2i2i2i2−i2−i2000000002−200000
χ29222-2-2-2-220-202-20020−2i−2i2i2i022−2−22-200000000−2i2i002−2−i2−i2i2i2−i2−i2i2i2000000002−200000
χ30222-2-2-2-220-202-20020−2i−2i2i2i022−2−2-22000000002i−2i002−2−i2−i2i2i2i2i2−i2−i200000000−2200000
χ31222-2-2-2-220-202-20020−2i−2i2i2i0−2−2222-200000000−2i2i00−22i2i2−i2−i2i2i2−i2−i200000000−2200000
χ32222-2-2-2-220-202-20020−2i−2i2i2i0−2−222-22000000002i−2i00−22i2i2−i2−i2−i2−i2i2i2000000002−200000
χ332-2-222-2-2222-2-2-22-2220000-2000000002i−2i2i−2i000000002i−2i2i−2i00000000002-20000000
χ342-2-222-2-2222-2-2-22-2220000-2000000002i−2i2i−2i00000000−2i2i−2i2i0000000000-220000000
χ352-2-222-2-2222-2-2-22-2220000-200000000−2i2i−2i2i000000002i−2i2i−2i0000000000-220000000
χ362-2-222-2-2222-2-2-22-2220000-200000000−2i2i−2i2i00000000−2i2i−2i2i00000000002-20000000
χ372-2-222-2-222-2-2222-2-2-22-22-22000000002i−2i−2i2i2-2000000000000002i−2i0000000000000
χ382-2-222-2-222-2-2222-2-2-22-22-2200000000−2i2i2i−2i2-200000000000000−2i2i0000000000000
χ392-2-222-2-222-2-2222-2-2-2-22-222000000002i−2i−2i2i-2200000000000000−2i2i0000000000000
χ402-2-222-2-222-2-2222-2-2-2-22-22200000000−2i2i2i−2i-22000000000000002i−2i0000000000000
χ412-2-222-2-22-2-2222-22-222-22-2-2000000000000-220000000000000000002i−2i0000002i−2i0
χ422-2-222-2-22-2-2222-22-222-22-2-2000000000000-22000000000000000000−2i2i000000−2i2i0
χ432-2-222-2-22-2-2222-22-22-22-22-20000000000002-20000000000000000002i−2i000000−2i2i0
χ442-2-222-2-22-2-2222-22-22-22-22-20000000000002-2000000000000000000−2i2i0000002i−2i0
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-44040-4400-40000002222−22−2200000000000000−222200000000000000000000000
χ47444-4-4-4-44040-4400-4000000−22−2222220000000000000022−2200000000000000000000000
χ4844-44-44-4-440400-4-400000000000004-400000000000000000000000000000000000
χ4944-44-44-4-440400-4-40000000000000-4400000000000000000000000000000000000
χ5044-44-44-4-4-40-400440000000000000000000000000000000000000000000002i2−2i2000
χ5144-44-44-4-4-40-40044000000000000000000000000000000000000000000000−2i22i2000
χ524-444-4-44-440-400-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ534-444-4-44-440-400-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-44-4-404004-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ554-444-4-44-4-404004-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ564-44-444-4-4000000000000002i2−2i2−2i22i20000000000002i2−2i20000002-2-22000000000000000
χ574-44-444-4-4000000000000002i2−2i2−2i22i2000000000000−2i22i2000000-222-2000000000000000
χ584-44-444-4-400000000000000−2i22i22i2−2i20000000000002i2−2i2000000-222-2000000000000000
χ594-44-444-4-400000000000000−2i22i22i2−2i2000000000000−2i22i20000002-2-22000000000000000
χ604-4-444-4-44-444-4-4-444-4000040000000000000000000000000000000000000000000
χ614-4-4-4-44440404-400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ624-4-4-4-44440404-400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ634-4-4-4-44440-40-440040000000000000000000000000022−22−22220000000000000000000
χ644-4-4-4-44440-40-4400400000000000000000000000000−222222−220000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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