Finite Group Databasebeta

← Group #305342

Character table — Group #305342

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888882244444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111
χ5111111111111111111111-1-1-1-11111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-111111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-11-1-111-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11
χ1111111111111111111-1-1-1-111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111111-1-1-111-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-111-1-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-11111111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-11111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-11-1-11-1-1-1-11
χ172222222222-2-22-2-22-222220000-222220000-2-2220000000000-2-2000000000000-200000000
χ182222222222-2-22-2-22-222220000-2-2-2-2-20000-2-2-2-2000000000022000000000000200000000
χ192222222222-2-22-2-22-2-2-2-2-20000-22222000022-2-20000000000-2-2000000000000200000000
χ202222222222-2-22-2-22-2-2-2-2-20000-2-2-2-2-200002222000000000022000000000000-200000000
χ2122222222-2-222-222-2-200002222-200002222000022-2-2-2-2000000000000000000000-200000
χ2222222222-2-222-222-2-200002222-20000-2-2-2-20000-2-2-2-222000000000000000000000200000
χ2322222222-2-222-222-2-20000-2-2-2-2-2000022220000-2-222-2-2000000000000000000000200000
χ2422222222-2-222-222-2-20000-2-2-2-2-20000-2-2-2-20000222222000000000000000000000-200000
χ25222-2-22-2-22-200-200202i2i−2i−2i000002i2i−2i−2i22−2−2002-200002−2i2i2−i2−i2000000i2i2−i2−i2000000002−2000
χ26222-2-22-2-22-200-200202i2i−2i−2i000002i2i−2i−2i−2−222002-20000−22−i2−i2i2i2000000−i2−i2i2i200000000−22000
χ27222-2-22-2-22-200-200202i2i−2i−2i00000−2i−2i2i2i22−2−200-2200002−2i2i2−i2−i2000000−i2−i2i2i200000000−22000
χ28222-2-22-2-22-200-200202i2i−2i−2i00000−2i−2i2i2i−2−22200-220000−22−i2−i2i2i2000000i2i2−i2−i2000000002−2000
χ29222-2-22-2-22-200-20020−2i−2i2i2i000002i2i−2i−2i22−2−200-2200002−2−i2−i2i2i2000000i2i2−i2−i200000000−22000
χ30222-2-22-2-22-200-20020−2i−2i2i2i000002i2i−2i−2i−2−22200-220000−22i2i2−i2−i2000000−i2−i2i2i2000000002−2000
χ31222-2-22-2-22-200-20020−2i−2i2i2i00000−2i−2i2i2i22−2−2002-200002−2−i2−i2i2i2000000−i2−i2i2i2000000002−2000
χ32222-2-22-2-22-200-20020−2i−2i2i2i00000−2i−2i2i2i−2−222002-20000−22i2i2−i2−i2000000i2i2−i2−i200000000−22000
χ3322-2-22-22-22222-2-2-2-222-22-222-2-2-2000000002-200002-200000000000000002-200000000000
χ3422-2-22-22-22222-2-2-2-222-22-2-2-222-2000000002-20000-220000000000000000-2200000000000
χ3522-2-22-22-22222-2-2-2-22-22-2222-2-2-200000000-2200002-20000000000000000-2200000000000
χ3622-2-22-22-22222-2-2-2-22-22-22-2-222-200000000-220000-2200000000000000002-200000000000
χ3722-2-22-22-222-2-2-222-2-22-22-20000200000000-22000000000000002i2i−2i−2i0000000002i−2i000000
χ3822-2-22-22-222-2-2-222-2-22-22-20000200000000-2200000000000000−2i−2i2i2i000000000−2i2i000000
χ3922-2-22-22-222-2-2-222-2-2-22-2200002000000002-2000000000000002i2i−2i−2i000000000−2i2i000000
χ4022-2-22-22-222-2-2-222-2-2-22-2200002000000002-200000000000000−2i−2i2i2i0000000002i−2i000000
χ4122-2-22-22-2-2-2222-2-22-2000022-2-2200000000000000-22002i−2i2i−2i0000000000002i−2i000000000
χ4222-2-22-22-2-2-2222-2-22-2000022-2-2200000000000000-2200−2i2i−2i2i000000000000−2i2i000000000
χ4322-2-22-22-2-2-2222-2-22-20000-2-2222000000000000002-2002i−2i2i−2i000000000000−2i2i000000000
χ4422-2-22-22-2-2-2222-2-22-20000-2-2222000000000000002-200−2i2i−2i2i0000000000002i−2i000000000
χ452-2-22-222-2002-202-20000002-22-20i2−i2i2−i22-22-200002-200000000i2−i2i2−i2i2−i2i2−i2i2−i20000000000i2−i20
χ462-2-22-222-2002-202-20000002-22-20i2−i2i2−i2-22-220000-2200000000i2−i2i2−i2i2−i2−i2i2−i2i20000000000−i2i20
χ472-2-22-222-2002-202-20000002-22-20−i2i2−i2i22-22-200002-200000000−i2i2−i2i2−i2i2−i2i2−i2i20000000000−i2i20
χ482-2-22-222-2002-202-20000002-22-20−i2i2−i2i2-22-220000-2200000000−i2i2−i2i2−i2i2i2−i2i2−i20000000000i2−i20
χ492-2-22-222-2002-202-2000000-22-220i2−i2i2−i22-22-20000-2200000000i2−i2−i2i2−i2i2i2−i2i2−i20000000000−i2i20
χ502-2-22-222-2002-202-2000000-22-220i2−i2i2−i2-22-2200002-200000000i2−i2−i2i2−i2i2−i2i2−i2i20000000000i2−i20
χ512-2-22-222-2002-202-2000000-22-220−i2i2−i2i22-22-20000-2200000000−i2i2i2−i2i2−i2−i2i2−i2i20000000000i2−i20
χ522-2-22-222-2002-202-2000000-22-220−i2i2−i2i2-22-2200002-200000000−i2i2i2−i2i2−i2i2−i2i2−i20000000000−i2i20
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ54444-4-44-4-4-4400400-4000000000000002222−22−2200000000−2222000000000000000000000000000
χ55444-4-44-4-4-4400400-400000000000000−22−2222220000000022−22000000000000000000000000000
χ5644-44-4-4-444-400400-404i−4i−4i4i00000000000000000000000000000000000000000000000000
χ5744-44-4-4-444-400400-40−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ5844-44-4-4-44-4400-4004000000000000000000000000000022−22−222200000000000000000000000
χ5944-44-4-4-44-4400-40040000000000000000000000000000−222222−2200000000000000000000000
χ6044-4-44-44-4-4-4-4-44444400000000-4000000000000000000000000000000000000000000000
χ614-44-4-4-444004-40-440000004-4-440000000000000000000000000000000000000000000000
χ624-44-4-4-444004-40-44000000-444-40000000000000000000000000000000000000000000000
χ634-44-4-4-44400-4404-40000000000000000000000000000000000022−22−222200000000000000000
χ644-44-4-4-44400-4404-400000000000000000000000000000000000−222222−2200000000000000000
χ654-4-44-444-400-440-44000000000002i2−2i22i2−2i2000000000000000000−2i22i2000000000000000000000
χ664-4-44-444-400-440-4400000000000−2i22i2−2i22i20000000000000000002i2−2i2000000000000000000000
χ674-4-4-444-4400000000000000000022−22−222222−22−2222000000000000000000002-2-220000000000000
χ684-4-4-444-4400000000000000000022−22−2222−222222−2200000000000000000000-222-20000000000000
χ694-4-4-444-44000000000000000000−222222−2222−22−222200000000000000000000-222-20000000000000
χ704-4-4-444-44000000000000000000−222222−22−222222−22000000000000000000002-2-220000000000000
χ718-8888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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