Finite Group Databasebeta

← Group #258902

Character table — Group #258902

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444444444448888888888888888224444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111-1-11-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1111-1-111-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-11111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111111111
χ911111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-11-1-111-111-1-1-1-111
χ1111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1111-1-11111-1-1
χ1211111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111
χ1311111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ1411111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-11111-1-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111111-111-1-1-1-1-1111-1-1-1-111
χ1611111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11111-111-1-111-1-1
χ17222222222222222-2-2-2-2222-2-2-2-2-2-20000000000000000220022000000-2000-20000000000000
χ18222222222222222-2-2-2-2222-2-2-2-2-2-20000000000000000-2-200-2-2000000200020000000000000
χ19222222222222-2-2-22222-2-2-2-2-222-2-200000000000000000022002200000-20000000-200000000
χ20222222222222-2-2-22222-2-2-2-2-222-2-2000000000000000000-2-200-2-20000020000000200000000
χ21222222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000000022-2-2000002-200000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-222-2-222000000000000000000000000-2-22200000-2200000000000
χ2322222222-2-2-2-2222-2-2-2-22-2-22222-2-200000000000000002200-2-20000002000-20000000000000
χ2422222222-2-2-2-2222-2-2-2-22-2-22222-2-20000000000000000-2-20022000000-200020000000000000
χ2522222222-2-2-2-2-2-2-22222-22222-2-2-2-20000000000000000002200-2-20000020000000-200000000
χ2622222222-2-2-2-2-2-2-22222-22222-2-2-2-2000000000000000000-2-2002200000-20000000200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000000022-2-200000-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000-2-222000002-200000000000
χ2922-22-22-2-222-2-22-2-2000022-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22-2002-20000000000000000i2−i2i2−i20000
χ3022-22-22-2-222-2-22-2-2000022-2000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-2200-220000000000000000−i2i2−i2i20000
χ3122-22-22-2-222-2-22-2-2000022-2000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22-2002-20000000000000000−i2i2−i2i20000
χ3222-22-22-2-222-2-22-2-2000022-2000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-2200-220000000000000000i2−i2i2−i20000
χ3322-22-22-2-2-2-2222-2-200002-22000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-200-220000000000000000i2−i2−i2i20000
χ3422-22-22-2-2-2-2222-2-200002-22000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-22002-20000000000000000−i2i2i2−i20000
χ3522-22-22-2-2-2-2222-2-200002-22000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-200-220000000000000000−i2i2i2−i20000
χ3622-22-22-2-2-2-2222-2-200002-22000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-22002-20000000000000000i2−i2−i2i20000
χ372-22-2-222-2000022-2-2-222-20000002-20000000022-2-222-2-2000000002i−2i2i−2i002i−2i00000000000000
χ382-22-2-222-2000022-2-2-222-20000002-20000000022-2-222-2-200000000−2i2i−2i2i00−2i2i00000000000000
χ392-22-2-222-2000022-2-2-222-20000002-200000000-2-222-2-222000000002i−2i2i−2i00−2i2i00000000000000
χ402-22-2-222-2000022-2-2-222-20000002-200000000-2-222-2-22200000000−2i2i−2i2i002i−2i00000000000000
χ412-22-2-222-20000-2-2222-2-220000002-22i2i−2i−2i2i2i−2i−2i00000000000000002i−2i−2i2i00000002-2000000000
χ422-22-2-222-20000-2-2222-2-220000002-22i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i2i−2i0000000-22000000000
χ432-22-2-222-20000-2-2222-2-220000002-2−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i−2i2i0000000-22000000000
χ442-22-2-222-20000-2-2222-2-220000002-2−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i2i−2i00000002-2000000000
χ452-2-222-22-22i−2i2i−2i0002-22-2000002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i2002-2002i−2i0000000000000000002−2i2−i2
χ462-2-222-22-22i−2i2i−2i0002-22-2000002i−2i002−22−22−22−2i2−i2i2−i2i2−i2i2−i200-2200−2i2i000000000000000000−22−i2i2
χ472-2-222-22-22i−2i2i−2i0002-22-2000002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i2002-2002i−2i000000000000000000−22−i2i2
χ482-2-222-22-22i−2i2i−2i0002-22-2000002i−2i00−22−22−22−22−i2i2−i2i2−i2i2−i2i200-2200−2i2i0000000000000000002−2i2−i2
χ492-2-222-22-2−2i2i−2i2i0002-22-200000−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i2002-200−2i2i0000000000000000002−2−i2i2
χ502-2-222-22-2−2i2i−2i2i0002-22-200000−2i2i002−22−22−22−2−i2i2−i2i2−i2i2−i2i200-22002i−2i000000000000000000−22i2−i2
χ512-2-222-22-2−2i2i−2i2i0002-22-200000−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i2002-200−2i2i000000000000000000−22i2−i2
χ522-2-222-22-2−2i2i−2i2i0002-22-200000−2i2i00−22−22−22−22i2−i2i2−i2i2−i2i2−i200-22002i−2i0000000000000000002−2−i2i2
χ53444-44-4-4-4000000000000004-400002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ54444-44-4-4-4000000000000004-40000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ55444-44-4-4-400000000000000-4400002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ56444-44-4-4-400000000000000-440000-222-22-2-222-2-22-222-2000000000000000000000000000000
χ5744-44-44-4-444-4-4-4440000-4-440000000000000000000000000000000000000000000000000000
χ5844-44-44-4-4-4-444-4440000-44-40000000000000000000000000000000000000000000000000000
χ5944-4-4-4-44400000004-4-440000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ6044-4-4-4-44400000004-4-44000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ6144-4-4-4-4440000000-444-4000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ6244-4-4-4-4440000000-444-400000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ634-444-4-4-444i−4i−4i4i00000000000000002i−2i2i−2i−2i2i−2i2i-22-222-22-2000000000000000000000000000000
χ644-444-4-4-444i−4i−4i4i0000000000000000−2i2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000000000
χ654-444-4-4-44−4i4i4i−4i00000000000000002i−2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000000000
χ664-444-4-4-44−4i4i4i−4i0000000000000000−2i2i−2i2i2i−2i2i−2i-22-222-22-2000000000000000000000000000000
χ674-44-4-444-4000044-444-4-4-4000000-440000000000000000000000000000000000000000000000
χ684-44-4-444-40000-4-44-4-4444000000-440000000000000000000000000000000000000000000000
χ694-4-444-44-44i−4i4i−4i000-44-4400000−4i4i000000000000000000000000000000000000000000000000
χ704-4-444-44-4−4i4i−4i4i000-44-44000004i−4i000000000000000000000000000000000000000000000000
χ714-4-4-444-4400004-440000-400000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000
χ724-4-4-444-4400004-440000-40000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000
χ734-4-4-444-440000-44-400004000000002222−22−22−22−22222200000000000000000000000000000000000000
χ744-4-4-444-440000-44-40000400000000−22−2222222222−22−2200000000000000000000000000000000000000

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