Finite Group Databasebeta

← Group #269792

Character table — Group #269792

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888882222244488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111
χ5111111111111111111111-1-1-1-111111111111-1-1-1-11111111111-1-1-1-11111-1-11-1-1-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11111111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-11111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-11
χ1111111111111111111-1-1-1-111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1111-111-1-111-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-111-111-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-11111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-1111111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111111-1-11-1-1-1-1-1-11
χ172222222222-22-2-2-22-222220000-222220000-2-2000022000000-2-20000000000-20000000000
χ182222222222-22-2-2-22-222220000-2-2-2-2-20000-2-20000-2-200000022000000000020000000000
χ192222222222-22-2-2-22-2-2-2-2-20000-222220000220000-2-2000000-2-2000000000020000000000
χ202222222222-22-2-2-22-2-2-2-2-20000-2-2-2-2-2000022000022000000220000000000-20000000000
χ2122222222-2-22-2222-2-200002222-2000022220022-2-200-2-20000000000000000000-20000000
χ2222222222-2-22-2222-2-200002222-20000-2-2-2-200-2-2-2-20022000000000000000000020000000
χ2322222222-2-22-2222-2-20000-2-2-2-2-20000222200-2-22200-2-2000000000000000000020000000
χ2422222222-2-22-2222-2-20000-2-2-2-2-20000-2-2-2-200222200220000000000000000000-20000000
χ25222-2-2-2-2200202-2-200000022-2-2022−2−22i2i−2i−2i002i−2i00000000002−222−2−2i2i2−i2−i20000000000i2−i20
χ26222-2-2-2-2200202-2-200000022-2-2022−2−2−2i−2i2i2i00−2i2i00000000002−222−2−2−i2−i2i2i20000000000−i2i20
χ27222-2-2-2-2200202-2-200000022-2-20−2−2222i2i−2i−2i002i−2i0000000000−22−2−222−i2−i2i2i20000000000−i2i20
χ28222-2-2-2-2200202-2-200000022-2-20−2−222−2i−2i2i2i00−2i2i0000000000−22−2−222i2i2−i2−i20000000000i2−i20
χ29222-2-2-2-2200202-2-2000000-2-222022−2−22i2i−2i−2i00−2i2i00000000002−2−2−222i2i2−i2−i20000000000−i2i20
χ30222-2-2-2-2200202-2-2000000-2-222022−2−2−2i−2i2i2i002i−2i00000000002−2−2−222−i2−i2i2i20000000000i2−i20
χ31222-2-2-2-2200202-2-2000000-2-2220−2−2222i2i−2i−2i00−2i2i0000000000−2222−2−2−i2−i2i2i20000000000i2−i20
χ32222-2-2-2-2200202-2-2000000-2-2220−2−222−2i−2i2i2i002i−2i0000000000−2222−2−2i2i2−i2−i20000000000−i2i20
χ3322-2-2-222-22-202000-202i2i−2i−2i000002-22-22−22−20000002i−2i2−2i2i2−i2−i20000002−22−200000000i2−i2000
χ3422-2-2-222-22-202000-202i2i−2i−2i000002-22-2−22−220000002i−2i−22−i2−i2i2i2000000−22−2200000000−i2i2000
χ3522-2-2-222-22-202000-202i2i−2i−2i00000-22-222−22−2000000−2i2i2−2i2i2−i2−i2000000−22−2200000000−i2i2000
χ3622-2-2-222-22-202000-202i2i−2i−2i00000-22-22−22−22000000−2i2i−22−i2−i2i2i20000002−22−200000000i2−i2000
χ3722-2-2-222-22-202000-20−2i−2i2i2i000002-22-22−22−2000000−2i2i2−2−i2−i2i2i20000002−22−200000000−i2i2000
χ3822-2-2-222-22-202000-20−2i−2i2i2i000002-22-2−22−22000000−2i2i−22i2i2−i2−i2000000−22−2200000000i2−i2000
χ3922-2-2-222-22-202000-20−2i−2i2i2i00000-22-222−22−20000002i−2i2−2−i2−i2i2i2000000−22−2200000000i2−i2000
χ4022-2-2-222-22-202000-20−2i−2i2i2i00000-22-22−22−220000002i−2i−22i2i2−i2−i20000002−22−200000000−i2i2000
χ412-2-2-22-222222-2-22-2-2200002-22-2-20000000000002-200002i−2i2i−2i00000000000000002i−2i00000
χ422-2-2-22-222222-2-22-2-2200002-22-2-20000000000002-20000−2i2i−2i2i0000000000000000−2i2i00000
χ432-2-2-22-222222-2-22-2-220000-22-22-2000000000000-2200002i−2i2i−2i0000000000000000−2i2i00000
χ442-2-2-22-222222-2-22-2-220000-22-22-2000000000000-220000−2i2i−2i2i00000000000000002i−2i00000
χ452-2-2-22-222-2-222-22-22-22-22-22-22-22000000002-200-220000000000000000002-200000000000
χ462-2-2-22-222-2-222-22-22-22-22-2-22-222000000002-2002-2000000000000000000-2200000000000
χ472-2-2-22-222-2-222-22-22-2-22-222-22-2200000000-2200-22000000000000000000-2200000000000
χ482-2-2-22-222-2-222-22-22-2-22-22-22-22200000000-22002-20000000000000000002-200000000000
χ492-2-2-22-222-2-2-222-22222-22-20000-200000000-22000000000000002-22-200000002-200000000
χ502-2-2-22-222-2-2-222-22222-22-20000-200000000-2200000000000000-22-220000000-2200000000
χ512-2-2-22-222-2-2-222-2222-22-220000-2000000002-2000000000000002-22-20000000-2200000000
χ522-2-2-22-222-2-2-222-2222-22-220000-2000000002-200000000000000-22-2200000002-200000000
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ54444-4-4-4-4400-40-444000000000002222−22−22000000000000000000−2222000000000000000000000
χ55444-4-4-4-4400-40-44400000000000−22−22222200000000000000000022−22000000000000000000000
χ5644-444-4-4-400000000000000000022−22−22222i2−2i2−2i22i2000000000000000000002i−2i−2i2i0000000000000
χ5744-444-4-4-400000000000000000022−22−2222−2i22i22i2−2i200000000000000000000−2i2i2i−2i0000000000000
χ5844-444-4-4-4000000000000000000−222222−222i2−2i2−2i22i200000000000000000000−2i2i2i−2i0000000000000
χ5944-444-4-4-4000000000000000000−222222−22−2i22i22i2−2i2000000000000000000002i−2i−2i2i0000000000000
χ6044-4-4-444-4-440-400040000000000000022−2222−2200000000−2222000000000000000000000000000
χ6144-4-4-444-4-440-4000400000000000000−2222−22220000000022−22000000000000000000000000000
χ624-444-4-44-44-40-40004000000000000000000000000000022−22−222200000000000000000000000
χ634-444-4-44-44-40-400040000000000000000000000000000−222222−2200000000000000000000000
χ644-444-4-44-4-4404000-404i−4i−4i4i00000000000000000000000000000000000000000000000000
χ654-444-4-44-4-4404000-40−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ664-4-44-44-440040-4-440000004-4-440000000000000000000000000000000000000000000000
χ674-4-44-44-440040-4-44000000-444-40000000000000000000000000000000000000000000000
χ684-4-44-44-4400-4044-40000000000000000000000000000000000022−22−222200000000000000000
χ694-4-44-44-4400-4044-400000000000000000000000000000000000−222222−2200000000000000000
χ704-4-4-44-44444-4-44-44-4-4000000004000000000000000000000000000000000000000000000
χ718-88-888-8-8000000000000000000000000000000000000000000000000000000000000000

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