Finite Group Databasebeta

← Group #283120

Character table — Group #283120

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-11-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1
χ911111111111111111-1-1-1-111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1111111111111111111-1-1-1-111111-1-11111-1-111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1-111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-1-11111-1-11111-1
χ1722222222222-2-2-2-22-20000-222220022-2-200220000-2-200000000-200000000000000
χ1822222222222-2-2-2-22-20000-2222200-2-22200-2-20000-2-200000000200000000000000
χ1922222222222-2-2-2-22-20000-2-2-2-2-20022-2-200-2-200002200000000200000000000000
χ2022222222222-2-2-2-22-20000-2-2-2-2-200-2-222002200002200000000-200000000000000
χ2122222222-2-2-22222-2-22222-20000220000-2-20022-2-20000000000000-200000000000
χ2222222222-2-2-22222-2-22222-20000-2-20000-2-200-2-2220000000000000200000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200002200002200-2-2220000000000000-200000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-20000-2-20000220022-2-20000000000000200000000000
χ2522-22-2-2-220002-22-20022-2-20i2i2−i2−i22-2000000002-200i2−i2i2i2−i2−i2i2i2−i2−i2000000000000i2−i20
χ2622-22-2-2-220002-22-20022-2-20i2i2−i2−i2-2200000000-2200i2−i2i2i2−i2−i2−i2−i2i2i2000000000000−i2i20
χ2722-22-2-2-220002-22-20022-2-20−i2−i2i2i22-2000000002-200−i2i2−i2−i2i2i2−i2−i2i2i2000000000000−i2i20
χ2822-22-2-2-220002-22-20022-2-20−i2−i2i2i2-2200000000-2200−i2i2−i2−i2i2i2i2i2−i2−i2000000000000i2−i20
χ2922-22-2-2-220002-22-200-2-2220i2i2−i2−i22-200000000-2200i2−i2−i2−i2i2i2−i2−i2i2i2000000000000i2−i20
χ3022-22-2-2-220002-22-200-2-2220i2i2−i2−i2-22000000002-200i2−i2−i2−i2i2i2i2i2−i2−i2000000000000−i2i20
χ3122-22-2-2-220002-22-200-2-2220−i2−i2i2i22-200000000-2200−i2i2i2i2−i2−i2i2i2−i2−i2000000000000−i2i20
χ3222-22-2-2-220002-22-200-2-2220−i2−i2i2i2-22000000002-200−i2i2i2i2−i2−i2−i2−i2i2i2000000000000i2−i20
χ332-22-2-2-22222-222-2-2-2-2000020000002i−2i2i−2i00000000002i−2i2i−2i000002-2000000000000
χ342-22-2-2-22222-222-2-2-2-2000020000002i−2i2i−2i0000000000−2i2i−2i2i00000-22000000000000
χ352-22-2-2-22222-222-2-2-2-200002000000−2i2i−2i2i00000000002i−2i2i−2i00000-22000000000000
χ362-22-2-2-22222-222-2-2-2-200002000000−2i2i−2i2i0000000000−2i2i−2i2i000002-2000000000000
χ372-22-2-2-22222-2-2-222-222-22-2-20000002i−2i−2i2i2-2000000000000000000002i−2i000000000
χ382-22-2-2-22222-2-2-222-222-22-2-2000000−2i2i2i−2i2-200000000000000000000−2i2i000000000
χ392-22-2-2-22222-2-2-222-22-22-22-20000002i−2i−2i2i-2200000000000000000000−2i2i000000000
χ402-22-2-2-22222-2-2-222-22-22-22-2000000−2i2i2i−2i-22000000000000000000002i−2i000000000
χ412-22-2-2-222-2-22-2-2222-22-22-220000000000-2200000000000000000000002-22-200000
χ422-22-2-2-222-2-22-2-2222-22-22-220000000000-220000000000000000000000-22-2200000
χ432-22-2-2-222-2-22-2-2222-2-22-22200000000002-200000000000000000000002-2-2200000
χ442-22-2-2-222-2-22-2-2222-2-22-22200000000002-20000000000000000000000-222-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-44-440000-40000004-44-4000000000000000000000000000000000000000
χ47444-4-44-4-44-440000-4000000-44-44000000000000000000000000000000000000000
χ48444-4-44-4-4-44-4000040000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ49444-4-44-4-4-44-400004000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-44-4-4-44000-44-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5144-44-4-4-44000-44-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ5244-4-44-44-4000000000000002i2−2i2−2i22i20000000000002i2−2i20000002-2-22000000000000000
χ5344-4-44-44-4000000000000002i2−2i2−2i22i2000000000000−2i22i2000000-222-2000000000000000
χ5444-4-44-44-400000000000000−2i22i22i2−2i20000000000002i2−2i2000000-222-2000000000000000
χ5544-4-44-44-400000000000000−2i22i22i2−2i2000000000000−2i22i20000002-2-22000000000000000
χ564-4444-4-4-44-4-4000040000000000000000004i−4i00000000000000000000000000000
χ574-4444-4-4-44-4-400004000000000000000000−4i4i00000000000000000000000000000
χ584-4444-4-4-4-4440000-40000000000000000000000000000000000000000000022−22000
χ594-4444-4-4-4-4440000-400000000000000000000000000000000000000000000−2222000
χ604-44-4-4-444-4-4444-4-4440000-40000000000000000000000000000000000000000000
χ614-4-4-444-440004-4-4400000000000000000000000000022−22−22220000000000000000000
χ624-4-4-444-440004-4-44000000000000000000000000000−222222−220000000000000000000
χ634-4-4-444-44000-444-4004-4-4400000000000000000000000000000000000000000000
χ644-4-4-444-44000-444-400-444-400000000000000000000000000000000000000000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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