Finite Group Databasebeta

← Group #255504

Character table — Group #255504

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222222244444444444444444444444444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ71111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1
χ911111111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1
χ1011111111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-111
χ1111111111-1-1-1-111111111-1-11111-1-111-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111
χ1211111111-1-1-1-111111111-1-11111-1-111-1-111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-11111-1-1
χ1311111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-111
χ1411111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-1
χ1511111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-111-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-111
χ1722222222222222-2-2-222-2220000-2-2-2-22222-20000000000000000000000-2-2000000000000
χ1822222222222222-2-2-222-2220000-2-2-2-2-2-2-2-2-2000000000000000000000022000000000000
χ19222222222222-2-2222-2-22-2-2222222-2-20000-222-2-2-2-2000000000000000000000000000000
χ20222222222222-2-2222-2-22-2-2-2-2-2-222-2-20000-2-2-22222000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-20000-2-222000020000000000000000000000002-22-200000000
χ22222222222222-2-2-2-2-2-2-2-2-2-20000-2-22200002000000000000000000000000-22-2200000000
χ2322222222-2-2-2-222-2-2-222-2-2-2000022-2-222-2-220000000000000000000000-22000000000000
χ2422222222-2-2-2-222-2-2-222-2-2-2000022-2-2-2-222200000000000000000000002-2000000000000
χ2522222222-2-2-2-2-2-2222-2-22222222-2-2-2-200002-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-2-2-2000022222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222000022220000-20000000000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222000022220000-2000000000000000000000000-222-200000000
χ29222-22-2-2-222-2-222000-2-202-2000000002-22-2000000022−2−222−2−222−2−222−2−200000000000000
χ30222-22-2-2-222-2-222000-2-202-2000000002-22-20000000−2−222−2−222−2−222−2−22200000000000000
χ31222-22-2-2-222-2-222000-2-202-200000000-22-22000000022−2−222−2−2−2−222−2−22200000000000000
χ32222-22-2-2-222-2-222000-2-202-200000000-22-220000000−2−222−2−22222−2−222−2−200000000000000
χ33222-22-2-2-2-2-22222000-2-20-22000000002-2-22000000022−2−2−2−22222−2−2−2−22200000000000000
χ34222-22-2-2-2-2-22222000-2-20-22000000002-2-220000000−2−22222−2−2−2−22222−2−200000000000000
χ35222-22-2-2-2-2-22222000-2-20-2200000000-222-2000000022−2−2−2−222−2−22222−2−200000000000000
χ36222-22-2-2-2-2-22222000-2-20-2200000000-222-20000000−2−22222−2−222−2−2−2−22200000000000000
χ3722-2-2-2-2222-22-20022-200-2002i2i−2i−2i2-200000002i−2i0000000000002−22−22−22−20000000000i2−i2i2−i2
χ3822-2-2-2-2222-22-20022-200-2002i2i−2i−2i2-200000002i−2i000000000000−22−22−22−220000000000−i2i2−i2i2
χ3922-2-2-2-2222-22-20022-200-200−2i−2i2i2i2-20000000−2i2i0000000000002−22−22−22−20000000000−i2i2−i2i2
χ4022-2-2-2-2222-22-20022-200-200−2i−2i2i2i2-20000000−2i2i000000000000−22−22−22−220000000000i2−i2i2−i2
χ4122-2-2-2-222-22-220022-200-2002i2i−2i−2i-220000000−2i2i0000000000002−22−2−22−220000000000i2−i2−i2i2
χ4222-2-2-2-222-22-220022-200-2002i2i−2i−2i-220000000−2i2i000000000000−22−222−22−20000000000−i2i2i2−i2
χ4322-2-2-2-222-22-220022-200-200−2i−2i2i2i-2200000002i−2i0000000000002−22−2−22−220000000000−i2i2i2−i2
χ4422-2-2-2-222-22-220022-200-200−2i−2i2i2i-2200000002i−2i000000000000−22−222−22−20000000000i2−i2−i2i2
χ452-2-2-2222-200002-22-222-2-2002-22-2002-200000002-20000002i−2i2i−2i00000000000000002i−2i0000
χ462-2-2-2222-200002-22-222-2-2002-22-2002-200000002-2000000−2i2i−2i2i0000000000000000−2i2i0000
χ472-2-2-2222-200002-22-222-2-200-22-22002-20000000-220000002i−2i2i−2i0000000000000000−2i2i0000
χ482-2-2-2222-200002-22-222-2-200-22-22002-20000000-22000000−2i2i−2i2i00000000000000002i−2i0000
χ492-2-2-2222-20000-222-22-22-2002-22-200-220000000-22002i−2i2i−2i0000000000000000002i−2i000000
χ502-2-2-2222-20000-222-22-22-2002-22-200-220000000-2200−2i2i−2i2i000000000000000000−2i2i000000
χ512-2-2-2222-20000-222-22-22-200-22-2200-2200000002-2002i−2i2i−2i000000000000000000−2i2i000000
χ522-2-2-2222-20000-222-22-22-200-22-2200-2200000002-200−2i2i−2i2i0000000000000000002i−2i000000
χ53444-44-4-4-444-4-4-4-4000440-440000000000000000000000000000000000000000000000000
χ54444-44-4-4-4-4-444-4-40004404-40000000000000000000000000000000000000000000000000
χ5544-44-44-4-44-4-4400000000000000000000000000000000000002-2-222-2-2200000000000000
χ5644-44-44-4-44-4-440000000000000000000000000000000000000-222-2-222-200000000000000
χ5744-44-44-4-4-444-400000000000000000000000000000000000002-2-22-222-200000000000000
χ5844-44-44-4-4-444-40000000000000000000000000000000000000-222-22-2-2200000000000000
χ5944-4-4-4-4444-44-400-4-44004000000-440000000000000000000000000000000000000000000
χ6044-4-4-4-444-44-4400-4-440040000004-40000000000000000000000000000000000000000000
χ614-444-4-44-40000004-4-4004004i−4i−4i4i000000000000000000000000000000000000000000000
χ624-444-4-44-40000004-4-400400−4i4i4i−4i000000000000000000000000000000000000000000000
χ634-444-4-44-4000000-44400-400000000000000000004-4000000000000000000000000000000
χ644-444-4-44-4000000-44400-40000000000000000000-44000000000000000000000000000000
χ654-4-444-4-4400004-4000-44000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ664-4-444-4-4400004-4000-4400000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ674-4-444-4-440000-440004-400000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ684-4-444-4-440000-440004-40000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ694-4-4-4444-400004-4-44-44-4400000000-4400000000000000000000000000000000000000000
χ704-4-4-4444-40000-44-44-4-444000000004-400000000000000000000000000000000000000000
χ718-88-8-88-88000000000000000000000000000000000000000000000000000000000000000

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