Finite Group Databasebeta

← Group #270126

Character table — Group #270126

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ911111111111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-111-1-111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-111-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1111-1-11111-1-111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111
χ172222222222-22-2-2-22-20000-2222222002200-2-20000-2-200000000000-200000000000
χ182222222222-22-2-2-22-20000-22222-2-200-2-200220000-2-200000000000200000000000
χ192222222222-22-2-2-22-20000-2-2-2-2-22200-2-2002200002200000000000-200000000000
χ202222222222-22-2-2-22-20000-2-2-2-2-2-2-2002200-2-200002200000000000200000000000
χ2122222222-2-22-2222-2-22222-20000002200-2-20022-2-20000000000-200000000000000
χ2222222222-2-22-2222-2-22222-2000000-2-200-2-200-2-2220000000000200000000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-200000022002200-2-2220000000000-200000000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000-2-200220022-2-20000000000200000000000000
χ25222-2-2-22-20020-2-22002i2i−2i−2i0i2i2−i2−i2002-20000002i−2i00i2−i222−2−222−2−2000000000000i2−i20
χ26222-2-2-22-20020-2-22002i2i−2i−2i0i2i2−i2−i200-22000000−2i2i00i2−i222−2−2−2−222000000000000−i2i20
χ27222-2-2-22-20020-2-22002i2i−2i−2i0−i2−i2i2i2002-20000002i−2i00−i2i2−2−222−2−222000000000000−i2i20
χ28222-2-2-22-20020-2-22002i2i−2i−2i0−i2−i2i2i200-22000000−2i2i00−i2i2−2−22222−2−2000000000000i2−i20
χ29222-2-2-22-20020-2-2200−2i−2i2i2i0i2i2−i2−i2002-2000000−2i2i00i2−i2−2−222−2−222000000000000i2−i20
χ30222-2-2-22-20020-2-2200−2i−2i2i2i0i2i2−i2−i200-220000002i−2i00i2−i2−2−22222−2−2000000000000−i2i20
χ31222-2-2-22-20020-2-2200−2i−2i2i2i0−i2−i2i2i2002-2000000−2i2i00−i2i222−2−222−2−2000000000000−i2i20
χ32222-2-2-22-20020-2-2200−2i−2i2i2i0−i2−i2i2i200-220000002i−2i00−i2i222−2−2−2−222000000000000i2−i20
χ332-2-2-22-222222-2-22-2-222-22-2-200000000002-2000000000000000002i−2i00000002i−2i000
χ342-2-2-22-222222-2-22-2-222-22-2-200000000002-200000000000000000−2i2i0000000−2i2i000
χ352-2-2-22-222222-2-22-2-22-22-22-20000000000-22000000000000000002i−2i0000000−2i2i000
χ362-2-2-22-222222-2-22-2-22-22-22-20000000000-2200000000000000000−2i2i00000002i−2i000
χ372-2-2-22-222-2-222-22-22-22-22-22000000002-2-222-2000000000000000000002-20000000
χ382-2-2-22-222-2-222-22-22-22-22-2200000000-22-22-2200000000000000000000-220000000
χ392-2-2-22-222-2-222-22-22-2-22-222000000002-22-22-200000000000000000000-220000000
χ402-2-2-22-222-2-222-22-22-2-22-22200000000-222-2-22000000000000000000002-20000000
χ412-2-2-22-222-2-2-222-22220000-2000000002-200-220000002-22-2000000002-2000000000
χ422-2-2-22-222-2-2-222-22220000-2000000002-200-22000000-22-2200000000-22000000000
χ432-2-2-22-222-2-2-222-22220000-200000000-22002-20000002-22-200000000-22000000000
χ442-2-2-22-222-2-2-222-22220000-200000000-22002-2000000-22-22000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-400-4044-400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ47444-4-4-44-400-4044-40000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ4844-44-4-4-44000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ4944-44-4-4-44000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5044-44-4-4-4400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5144-44-4-4-4400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5244-4-444-4-44-404000-40000004-4-44000000000000000000000000000000000000000
χ5344-4-444-4-44-404000-4000000-444-4000000000000000000000000000000000000000
χ5444-4-444-4-4-440-400040000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5544-4-444-4-4-440-40004000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ564-4444-4-4-44-40-400040000000000000000000000000000000000000000002i2−2i200000
χ574-4444-4-4-44-40-40004000000000000000000000000000000000000000000−2i22i200000
χ584-4444-4-4-4-4404000-400000000004-40000000000000000000000000000000000000
χ594-4444-4-4-4-4404000-40000000000-440000000000000000000000000000000000000
χ604-4-44-444-400404-4-4004i−4i−4i4i00000000000000000000000000000000000000000000
χ614-4-44-444-400404-4-400−4i4i4i−4i00000000000000000000000000000000000000000000
χ624-4-44-444-400-40-44400000000000000000000000000022−22−22220000000000000000000
χ634-4-44-444-400-40-444000000000000000000000000000−222222−220000000000000000000
χ644-4-4-44-44444-4-44-44-4-4000040000000000000000000000000000000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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