Finite Group Databasebeta

← Group #280161

Character table — Group #280161

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ101111111111111111-1-1-1-11111111111-1-111-1-1111111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1111111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-11111-1-111-1
χ17222222222-22-2-222-22222-2-200000000-2-2002200-2-22200000000-200000000000000
χ18222222222-22-2-222-22222-2-200000000-2-200-2-20022-2-200000000200000000000000
χ19222222222-22-2-222-2-2-2-2-2-2-2000000002200220022-2-200000000-200000000000000
χ20222222222-22-2-222-2-2-2-2-2-2-2000000002200-2-200-2-22200000000200000000000000
χ2122222222-22-222-2-220000-2-2222222-2-200-2-200-2-2000000000000020000000000000
χ2222222222-22-222-2-220000-2-22222-2-222002200-2-20000000000000-20000000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-222-2-2002200220000000000000-20000000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-2-2-22200-2-20022000000000000020000000000000
χ252-222-2-2-2222-2-2-22-222i2i−2i−2i2-2000000002i−2i0000000000000000000000002-2002i−2i000
χ262-222-2-2-2222-2-2-22-222i2i−2i−2i2-2000000002i−2i000000000000000000000000-2200−2i2i000
χ272-222-2-2-2222-2-2-22-22−2i−2i2i2i2-200000000−2i2i0000000000000000000000002-200−2i2i000
χ282-222-2-2-2222-2-2-22-22−2i−2i2i2i2-200000000−2i2i000000000000000000000000-22002i−2i000
χ292-222-2-2-222-2-2222-2-22i2i−2i−2i-2200002-22-2−2i2i000000000000000000002i−2i00000000000
χ302-222-2-2-222-2-2222-2-22i2i−2i−2i-220000-22-22−2i2i00000000000000000000−2i2i00000000000
χ312-222-2-2-222-2-2222-2-2−2i−2i2i2i-2200002-22-22i−2i00000000000000000000−2i2i00000000000
χ322-222-2-2-222-2-2222-2-2−2i−2i2i2i-220000-22-222i−2i000000000000000000002i−2i00000000000
χ332-222-2-2-22-2-2222-22-200002-200002-2-220000000000002i2i−2i−2i000000002i−2i000000000
χ342-222-2-2-22-2-2222-22-200002-200002-2-22000000000000−2i−2i2i2i00000000−2i2i000000000
χ352-222-2-2-22-2-2222-22-200002-20000-222-20000000000002i2i−2i−2i00000000−2i2i000000000
χ362-222-2-2-22-2-2222-22-200002-20000-222-2000000000000−2i−2i2i2i000000002i−2i000000000
χ372-22-22-22-220-200-2202i−2i2i−2i00i2i2−i2−i2000000002i−2ii2−i2002-22−22−2i2i2−i2−i20000000000002−20
χ382-22-22-22-220-200-2202i−2i2i−2i00i2i2−i2−i200000000−2i2ii2−i200-222−22−2−i2−i2i2i2000000000000−220
χ392-22-22-22-220-200-2202i−2i2i−2i00−i2−i2i2i2000000002i−2i−i2i2002-2−22−22−i2−i2i2i2000000000000−220
χ402-22-22-22-220-200-2202i−2i2i−2i00−i2−i2i2i200000000−2i2i−i2i200-22−22−22i2i2−i2−i20000000000002−20
χ412-22-22-22-220-200-220−2i2i−2i2i00i2i2−i2−i2000000002i−2ii2−i200-22−22−22−i2−i2i2i20000000000002−20
χ422-22-22-22-220-200-220−2i2i−2i2i00i2i2−i2−i200000000−2i2ii2−i2002-2−22−22i2i2−i2−i2000000000000−220
χ432-22-22-22-220-200-220−2i2i−2i2i00−i2−i2i2i2000000002i−2i−i2i200-222−22−2i2i2−i2−i2000000000000−220
χ442-22-22-22-220-200-220−2i2i−2i2i00−i2−i2i2i200000000−2i2i−i2i2002-22−22−2−i2−i2i2i20000000000002−20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-44-4-440400-4-404-4-44000000000000000000000000000000000000000000000
χ47444-4-44-4-440400-4-40-444-4000000000000000000000000000000000000000000000
χ48444-4-44-4-4-40-400440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ49444-4-44-4-4-40-40044000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-4-4-4-4440404-400-40000004i−4i4i−4i000000000000000000000000000000000000000
χ5144-4-4-4-4440404-400-4000000−4i4i−4i4i000000000000000000000000000000000000000
χ5244-4-4-4-4440-40-4400400000000000000000000000000000022−2222−22000000000000000
χ5344-4-4-4-4440-40-44004000000000000000000000000000000−2222−2222000000000000000
χ544-444-4-4-44-444-4-4-4440000-440000000000000000000000000000000000000000000
χ554-44-44-44-4-404004-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ564-44-44-44-4-404004-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ574-4-44-444-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ584-4-44-444-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ594-4-44-444-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ604-4-44-444-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ614-4-4-444-44040-4400-40000000000000000000000000000000000000000002i2−2i200000
χ624-4-4-444-44040-4400-4000000000000000000000000000000000000000000−2i22i200000
χ634-4-4-444-440-404-400400000000000000004-40000000000000000000000000000000
χ644-4-4-444-440-404-40040000000000000000-440000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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