Finite Group Databasebeta

← Group #254992

Character table — Group #254992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444224444448888888888888888444444444444244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111111-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111111-1-1-11111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111
χ911111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-111-1-1
χ1011111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1111-1-111-1-1-1-111
χ1111111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1-1-1-11111-1-1
χ1211111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-111-1-111
χ1311111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-111
χ1411111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111111-1-111-1-11-1-1-1-11111-1-1
χ1511111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-11111-1-1-1-1-111-1-1-1-111
χ1611111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-111-11111-1-111-1-1
χ1722222222222222-2-222-2-2-2-2-2-2-222-20000000000000000002200000022-20-2000000000000000
χ1822222222222222-2-222-2-2-2-2-2-2-222-2000000000000000000-2-2000000-2-2202000000000000000
χ19222222222222-2-222-2-222-2-2-222-2-2-200000000000000002200220000000-200000-20000000000
χ20222222222222-2-222-2-222-2-2-222-2-2-20000000000000000-2-200-2-2000000020000020000000000
χ21222222222222-2-2-2-2-2-2-2-2222-2-2-2-22000000000000000000000022-2-200000000002-200000000
χ22222222222222-2-2-2-2-2-2-2-2222-2-2-2-220000000000000000000000-2-2220000000000-2200000000
χ2322222222-2-2-2-222-2-222-2-222-222-2-2-200000000000000000022000000-2-220-2000000000000000
χ2422222222-2-2-2-222-2-222-2-222-222-2-2-2000000000000000000-2-200000022-202000000000000000
χ2522222222-2-2-2-2-2-222-2-22222-2-2-222-200000000000000002200-2-20000000200000-20000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-222-20000000000000000-2-200220000000-20000020000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000022-2-20000000000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000-2-22200000000002-200000000
χ2922-2-22-2-222i2i−2i−2i002-2002-20002i−2i000i2i2i2i2−i2−i2−i2−i22222−2−2−2−22i−2i002-200000000000000002−2i2−i20000
χ3022-2-22-2-222i2i−2i−2i002-2002-20002i−2i000i2i2i2i2−i2−i2−i2−i22222−2−2−2−2−2i2i00-220000000000000000−22−i2i20000
χ3122-2-22-2-222i2i−2i−2i002-2002-20002i−2i000−i2−i2−i2−i2i2i2i2i2−2−2−2−222222i−2i002-20000000000000000−22−i2i20000
χ3222-2-22-2-222i2i−2i−2i002-2002-20002i−2i000−i2−i2−i2−i2i2i2i2i2−2−2−2−22222−2i2i00-2200000000000000002−2i2−i20000
χ3322-2-22-2-22−2i−2i2i2i002-2002-2000−2i2i000i2i2i2i2−i2−i2−i2−i2−2−2−2−222222i−2i00-2200000000000000002−2−i2i20000
χ3422-2-22-2-22−2i−2i2i2i002-2002-2000−2i2i000i2i2i2i2−i2−i2−i2−i2−2−2−2−22222−2i2i002-20000000000000000−22i2−i20000
χ3522-2-22-2-22−2i−2i2i2i002-2002-2000−2i2i000−i2−i2−i2−i2i2i2i2i22222−2−2−2−22i−2i00-220000000000000000−22i2−i20000
χ3622-2-22-2-22−2i−2i2i2i002-2002-2000−2i2i000−i2−i2−i2−i2i2i2i2i22222−2−2−2−2−2i2i002-200000000000000002−2−i2i20000
χ372-22-222-2-22i−2i2i−2i2-2002-200000002i−2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i2002-20000002i−2i000000000000002−2i2−i2
χ382-22-222-2-22i−2i2i−2i2-2002-200000002i−2i022−2−222−2−2i2i2−i2−i2i2i2−i2−i200-22000000−2i2i00000000000000−22−i2i2
χ392-22-222-2-22i−2i2i−2i2-2002-200000002i−2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i2002-20000002i−2i00000000000000−22−i2i2
χ402-22-222-2-22i−2i2i−2i2-2002-200000002i−2i0−2−222−2−222−i2−i2i2i2−i2−i2i2i200-22000000−2i2i000000000000002−2i2−i2
χ412-22-222-2-2−2i2i−2i2i2-2002-20000000−2i2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i2002-2000000−2i2i000000000000002−2−i2i2
χ422-22-222-2-2−2i2i−2i2i2-2002-20000000−2i2i022−2−222−2−2−i2−i2i2i2−i2−i2i2i200-220000002i−2i00000000000000−22i2−i2
χ432-22-222-2-2−2i2i−2i2i2-2002-20000000−2i2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i2002-2000000−2i2i00000000000000−22i2−i2
χ442-22-222-2-2−2i2i−2i2i2-2002-20000000−2i2i0−2−222−2−222i2i2−i2−i2i2i2−i2−i200-220000002i−2i000000000000002−2−i2i2
χ452-2-22-22-2200002-22-2-22-220020000-2000000002i−2i2i−2i2i−2i2i−2i0000002-22-2000002i−2i0000000000000
χ462-2-22-22-2200002-22-2-22-220020000-2000000002i−2i2i−2i2i−2i2i−2i000000-22-2200000−2i2i0000000000000
χ472-2-22-22-2200002-22-2-22-220020000-200000000−2i2i−2i2i−2i2i−2i2i0000002-22-200000−2i2i0000000000000
χ482-2-22-22-2200002-22-2-22-220020000-200000000−2i2i−2i2i−2i2i−2i2i000000-22-22000002i−2i0000000000000
χ492-2-22-22-220000-22-222-22-20020000-22i−2i2i−2i2i−2i2i−2i000000000000002-2-2200000002i−2i00000000000
χ502-2-22-22-220000-22-222-22-20020000-22i−2i2i−2i2i−2i2i−2i00000000000000-222-20000000−2i2i00000000000
χ512-2-22-22-220000-22-222-22-20020000-2−2i2i−2i2i−2i2i−2i2i000000000000002-2-220000000−2i2i00000000000
χ522-2-22-22-220000-22-222-22-20020000-2−2i2i−2i2i−2i2i−2i2i00000000000000-222-200000002i−2i00000000000
χ534444-4-4-4-40000000000004-40000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ544444-4-4-4-40000000000004-4000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ554444-4-4-4-4000000000000-440000002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ564444-4-4-4-4000000000000-44000000-222-22-2-222-2-22-222-2000000000000000000000000000000
χ5744-4-44-4-444i4i−4i−4i00-4400-44000−4i4i0000000000000000000000000000000000000000000000000
χ5844-4-44-4-44−4i−4i4i4i00-4400-440004i−4i0000000000000000000000000000000000000000000000000
χ5944-4-4-444-400004400-4-400000000000000000022−22−222222−22−2222000000000000000000000000000000
χ6044-4-4-444-400004400-4-4000000000000000000−222222−22−222222−22000000000000000000000000000000
χ6144-4-4-444-40000-4-4004400000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ6244-4-4-444-40000-4-400440000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ634-44-444-4-44i−4i4i−4i-4400-440000000−4i4i00000000000000000000000000000000000000000000000
χ644-44-444-4-4−4i4i−4i4i-4400-4400000004i−4i00000000000000000000000000000000000000000000000
χ654-44-4-4-4440000004400-4-400000000000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000
χ664-44-4-4-4440000004400-4-40000000000000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000
χ674-44-4-4-444000000-4-400440000000022−2222−22−2222−222200000000000000000000000000000000000000
χ684-44-4-4-444000000-4-4004400000000−2222−222222−2222−2200000000000000000000000000000000000000
χ694-4-444-44-44-4-4400000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ704-4-444-44-44-4-440000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ714-4-444-44-4-444-400000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ724-4-444-44-4-444-40000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ734-4-44-44-4400004-4-44-444-400-4000040000000000000000000000000000000000000000000000
χ744-4-44-44-440000-444-44-4-4400-4000040000000000000000000000000000000000000000000000

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