Finite Group Databasebeta

← Group #258993

Character table — Group #258993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444444444448888888888888888224444444444244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-111-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1111-1-11111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111
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
χ911111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-111-1-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1-1-1111-1-1-1-11111-1-1
χ1111111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1111-1-1-111-1-1-1-111
χ1211111111-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111
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
χ1411111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1111-1-1-11-1-111-1-1-1-111
χ1511111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111111-1111-1-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-111-11111-1-111-1-1
χ1722222222222222-2-2-222-2-2-222-2-2-2-20000000000000000220000000022-2000000-20000000000
χ1822222222222222-2-2-222-2-2-222-2-2-2-20000000000000000-2-200000000-2-2200000020000000000
χ19222222222222-2-2222-2-22-2-2-2-222-2-200000000000000000022220000000-200-20000000000000
χ20222222222222-2-2222-2-22-2-2-2-222-2-2000000000000000000-2-2-2-2000000020020000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000000000022-2-200000000002-200000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000000000-2-2220000000000-2200000000
χ2322222222-2-2-2-222-2-2-222-222-2-222-2-200000000000000002200000000-2-22000000-20000000000
χ2422222222-2-2-2-222-2-2-222-222-2-222-2-20000000000000000-2-20000000022-200000020000000000
χ2522222222-2-2-2-2-2-2222-2-222222-2-2-2-200000000000000000022-2-20000000200-20000000000000
χ2622222222-2-2-2-2-2-2222-2-222222-2-2-2-2000000000000000000-2-2220000000-20020000000000000
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
χ2922-2-22-2-220000222-2-2-2-220000002-22222-2-2-2-2000000000000002i−2i2i−2i00000002i−2i00000000000
χ3022-2-22-2-220000222-2-2-2-220000002-22222-2-2-2-200000000000000−2i2i−2i2i0000000−2i2i00000000000
χ3122-2-22-2-220000222-2-2-2-220000002-2-2-2-2-22222000000000000002i−2i2i−2i0000000−2i2i00000000000
χ3222-2-22-2-220000222-2-2-2-220000002-2-2-2-2-2222200000000000000−2i2i−2i2i00000002i−2i00000000000
χ3322-2-22-2-220000-2-2-22222-20000002-2000000002i2i2i2i−2i−2i−2i−2i0000002i−2i−2i2i00002-200000000000000
χ3422-2-22-2-220000-2-2-22222-20000002-2000000002i2i2i2i−2i−2i−2i−2i000000−2i2i2i−2i0000-2200000000000000
χ3522-2-22-2-220000-2-2-22222-20000002-200000000−2i−2i−2i−2i2i2i2i2i0000002i−2i−2i2i0000-2200000000000000
χ3622-2-22-2-220000-2-2-22222-20000002-200000000−2i−2i−2i−2i2i2i2i2i000000−2i2i2i−2i00002-200000000000000
χ372-22-222-2-22i2i−2i−2i2-20002-20002i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−22-2000000002i−2i00000000000000i2−i22−2
χ382-22-222-2-22i2i−2i−2i2-20002-20002i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−2-2200000000−2i2i00000000000000−i2i2−22
χ392-22-222-2-22i2i−2i−2i2-20002-20002i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−2222-2000000002i−2i00000000000000−i2i2−22
χ402-22-222-2-22i2i−2i−2i2-20002-20002i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−222-2200000000−2i2i00000000000000i2−i22−2
χ412-22-222-2-2−2i−2i2i2i2-20002-2000−2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−2222-200000000−2i2i00000000000000i2−i2−22
χ422-22-222-2-2−2i−2i2i2i2-20002-2000−2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−222-22000000002i−2i00000000000000−i2i22−2
χ432-22-222-2-2−2i−2i2i2i2-20002-2000−2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−22-200000000−2i2i00000000000000−i2i22−2
χ442-22-222-2-2−2i−2i2i2i2-20002-2000−2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−2-22000000002i−2i00000000000000i2−i2−22
χ452-2-22-22-222-22-20022-200-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-22-20000000000000000i2−i2i2−i20000
χ462-2-22-22-222-22-20022-200-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-22-220000000000000000−i2i2−i2i20000
χ472-2-22-22-222-22-20022-200-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-22-20000000000000000−i2i2−i2i20000
χ482-2-22-22-222-22-20022-200-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-22-220000000000000000i2−i2i2−i20000
χ492-2-22-22-22-22-220022-200-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2002-2-220000000000000000i2−i2−i2i20000
χ502-2-22-22-22-22-220022-200-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200-222-20000000000000000−i2i2i2−i20000
χ512-2-22-22-22-22-220022-200-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2002-2-220000000000000000−i2i2i2−i20000
χ522-2-22-22-22-22-220022-200-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200-222-20000000000000000i2−i2−i2i20000
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
χ5744-4-44-4-44000044-444-4-4-4000000-440000000000000000000000000000000000000000000000
χ5844-4-44-4-440000-4-44-4-4444000000-440000000000000000000000000000000000000000000000
χ5944-4-4-444-44i−4i−4i4i00000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6044-4-4-444-44i−4i−4i4i0000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6144-4-4-444-4−4i4i4i−4i00000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6244-4-4-444-4−4i4i4i−4i0000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ634-44-444-4-44i4i−4i−4i-44000-44000−4i4i00000000000000000000000000000000000000000000000000
χ644-44-444-4-4−4i−4i4i4i-44000-440004i−4i00000000000000000000000000000000000000000000000000
χ654-44-4-4-4440000004-4400-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ664-44-4-4-4440000004-4400-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ674-44-4-4-444000000-44-4004000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ684-44-4-4-444000000-44-40040000000000000000−2222−222222−2222−22000000000000000000000000000000
χ694-4-444-44-400004-4000-440000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ704-4-444-44-400004-4000-44000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ714-4-444-44-40000-440004-4000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000
χ724-4-444-44-40000-440004-400000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000
χ734-4-44-44-444-44-400-4-440040000-44000000000000000000000000000000000000000000000000
χ744-4-44-44-44-44-4400-4-4400400004-4000000000000000000000000000000000000000000000000

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