Finite Group Databasebeta

← Group #305592

Character table — Group #305592

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1-1
χ911111111111111111-1-1-1-11111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-11-11111-1-111-1
χ172222222222-2-22-2-22-22222-2000022-2-200000022000000-2-2000000000-2000000000
χ182222222222-2-22-2-22-22222-20000-2-2-2-2000000-2-2000000220000000002000000000
χ192222222222-2-22-2-22-2-2-2-2-2-200002222000000-2-200000022000000000-2000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000-2-22200000022000000-2-20000000002000000000
χ2122222222-2-222-222-2-20000-22222000022-2-2-2-200-2-20000000000000020000000000
χ2222222222-2-222-222-2-20000-222220000-2-2222200-2-200000000000000-20000000000
χ2322222222-2-222-222-2-20000-2-2-2-2-2000022-2-222002200000000000000-20000000000
χ2422222222-2-222-222-2-20000-2-2-2-2-20000-2-222-2-200220000000000000020000000000
χ25222-22-2-2-22-200-200202i2i−2i−2i022−2−22-2000000002i−2i2−2i2i2−i2−i200i2i2−i2−i2000000002−200000
χ26222-22-2-2-22-200-200202i2i−2i−2i022−2−2-2200000000−2i2i2−2i2i2−i2−i200−i2−i2i2i200000000−2200000
χ27222-22-2-2-22-200-200202i2i−2i−2i0−2−2222-2000000002i−2i−22−i2−i2i2i200−i2−i2i2i200000000−2200000
χ28222-22-2-2-22-200-200202i2i−2i−2i0−2−222-2200000000−2i2i−22−i2−i2i2i200i2i2−i2−i2000000002−200000
χ29222-22-2-2-22-200-20020−2i−2i2i2i022−2−22-200000000−2i2i2−2−i2−i2i2i200−i2−i2i2i2000000002−200000
χ30222-22-2-2-22-200-20020−2i−2i2i2i022−2−2-22000000002i−2i2−2−i2−i2i2i200i2i2−i2−i200000000−2200000
χ31222-22-2-2-22-200-20020−2i−2i2i2i0−2−2222-200000000−2i2i−22i2i2−i2−i200i2i2−i2−i200000000−2200000
χ32222-22-2-2-22-200-20020−2i−2i2i2i0−2−222-22000000002i−2i−22i2i2−i2−i200−i2−i2i2i2000000002−200000
χ332-222-22-2-22222-2-2-2-222-22-2-20000002-22-22-200000000000000002-20000000000000
χ342-222-22-2-22222-2-2-2-222-22-2-20000002-2-22-220000000000000000-220000000000000
χ352-222-22-2-22222-2-2-2-22-22-22-2000000-222-22-20000000000000000-220000000000000
χ362-222-22-2-22222-2-2-2-22-22-22-2000000-22-22-2200000000000000002-20000000000000
χ372-222-22-2-222-2-2-222-2-22-22-22000000-22000000000000000000000000002i−2i002i−2i000
χ382-222-22-2-222-2-2-222-2-22-22-22000000-2200000000000000000000000000−2i2i00−2i2i000
χ392-222-22-2-222-2-2-222-2-2-22-2220000002-2000000000000000000000000002i−2i00−2i2i000
χ402-222-22-2-222-2-2-222-2-2-22-2220000002-200000000000000000000000000−2i2i002i−2i000
χ412-222-22-2-2-2-2222-2-22-200002000000002-2-220000002i−2i2i−2i000000002i−2i00000000000
χ422-222-22-2-2-2-2222-2-22-200002000000002-2-22000000−2i2i−2i2i00000000−2i2i00000000000
χ432-222-22-2-2-2-2222-2-22-20000200000000-222-20000002i−2i2i−2i00000000−2i2i00000000000
χ442-222-22-2-2-2-2222-2-22-20000200000000-222-2000000−2i2i−2i2i000000002i−2i00000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-4-4400400-40000002222−22−22000000000000−22220000000000000000000000000
χ47444-44-4-4-4-4400400-4000000−22−22222200000000000022−220000000000000000000000000
χ4844-44-4-4-44004-404-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ4944-44-4-4-44004-404-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-44-4-4-4400-440-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ5144-44-4-4-4400-440-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ5244-4-4-444-4000000000000002i2−2i2−2i22i20000000000000000002i2−2i22-2-22000000000000000
χ5344-4-4-444-4000000000000002i2−2i2−2i22i2000000000000000000−2i22i2-222-2000000000000000
χ5444-4-4-444-400000000000000−2i22i22i2−2i20000000000000000002i2−2i2-222-2000000000000000
χ5544-4-4-444-400000000000000−2i22i22i2−2i2000000000000000000−2i22i22-2-22000000000000000
χ564-444-44-4-4-4-4-4-4444440000-40000000000000000000000000000000000000000000
χ574-44-4-4-4444-400400-404i−4i−4i4i00000000000000000000000000000000000000000000
χ584-44-4-4-4444-400400-40−4i4i4i−4i00000000000000000000000000000000000000000000
χ594-44-4-4-444-4400-400400000000000000000000000022−22−2222000000000000000000000
χ604-44-4-4-444-4400-4004000000000000000000000000−222222−22000000000000000000000
χ614-4-444-44-4004-40-44000000000000000000000000000000000000000000000002i2−2i20
χ624-4-444-44-4004-40-4400000000000000000000000000000000000000000000000−2i22i20
χ634-4-444-44-400-4404-400000000000000000004i−4i00000000000000000000000000000
χ644-4-444-44-400-4404-40000000000000000000−4i4i00000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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