Finite Group Databasebeta

← Group #283208

Character table — Group #283208

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111
χ71111111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ1011111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-11-11111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-11-1-111-1-11111-1
χ172222222222-2-22-2-22-20000-2222222000022-2-20000-2-200000000000-200000000000
χ182222222222-2-22-2-22-20000-22222-2-20000-2-2220000-2-200000000000200000000000
χ192222222222-2-22-2-22-20000-2-2-2-2-2220000-2-2-2-200002200000000000200000000000
χ202222222222-2-22-2-22-20000-2-2-2-2-2-2-20000222200002200000000000-200000000000
χ2122222222-2-222-222-2-22222-200000022-2-2000022-2-2000000000000-2000000000000
χ2222222222-2-222-222-2-22222-2000000-2-2-2-20000-2-2220000000000002000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000022220000-2-222000000000000-2000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000-2-222000022-2-20000000000002000000000000
χ252-22-2-222-2002-202-20022-2-20i2i2−i2−i2002i−2i0000002i−2i00i2−i2i2i2−i2−i222−2−20000000000002−20
χ262-22-2-222-2002-202-20022-2-20i2i2−i2−i200−2i2i000000−2i2i00i2−i2i2i2−i2−i2−2−222000000000000−220
χ272-22-2-222-2002-202-20022-2-20−i2−i2i2i2002i−2i0000002i−2i00−i2i2−i2−i2i2i2−2−222000000000000−220
χ282-22-2-222-2002-202-20022-2-20−i2−i2i2i200−2i2i000000−2i2i00−i2i2−i2−i2i2i222−2−20000000000002−20
χ292-22-2-222-2002-202-200-2-2220i2i2−i2−i2002i−2i000000−2i2i00i2−i2−i2−i2i2i2−2−2220000000000002−20
χ302-22-2-222-2002-202-200-2-2220i2i2−i2−i200−2i2i0000002i−2i00i2−i2−i2−i2i2i222−2−2000000000000−220
χ312-22-2-222-2002-202-200-2-2220−i2−i2i2i2002i−2i000000−2i2i00−i2i2i2i2−i2−i222−2−2000000000000−220
χ322-22-2-222-2002-202-200-2-2220−i2−i2i2i200−2i2i0000002i−2i00−i2i2i2i2−i2−i2−2−2220000000000002−20
χ332-2-2-222-222222-2-2-2-2-20000200002i−2i0000002i−2i0000002i−2i2i−2i000000002-2000000000
χ342-2-2-222-222222-2-2-2-2-20000200002i−2i0000002i−2i000000−2i2i−2i2i00000000-22000000000
χ352-2-2-222-222222-2-2-2-2-2000020000−2i2i000000−2i2i0000002i−2i2i−2i00000000-22000000000
χ362-2-2-222-222222-2-2-2-2-2000020000−2i2i000000−2i2i000000−2i2i−2i2i000000002-2000000000
χ372-2-2-222-2222-2-2-222-222-22-2-200002i−2i002-200−2i2i000000000000002i−2i0000000000000
χ382-2-2-222-2222-2-2-222-222-22-2-20000−2i2i002-2002i−2i00000000000000−2i2i0000000000000
χ392-2-2-222-2222-2-2-222-22-22-22-200002i−2i00-2200−2i2i00000000000000−2i2i0000000000000
χ402-2-2-222-2222-2-2-222-22-22-22-20000−2i2i00-22002i−2i000000000000002i−2i0000000000000
χ412-2-2-222-22-2-2-2-22222-22-22-2200000000-220000000000000000000000002-22-200000
χ422-2-2-222-22-2-2-2-22222-22-22-2200000000-22000000000000000000000000-22-2200000
χ432-2-2-222-22-2-2-2-22222-2-22-222000000002-20000000000000000000000002-2-2200000
χ442-2-2-222-22-2-2-2-22222-2-22-222000000002-2000000000000000000000000-222-200000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-444-400400-400000000000000000000000000000022−2222−22000000000000000
χ47444-4-4-4-444-400400-4000000000000000000000000000000−2222−2222000000000000000
χ48444-4-4-4-44-4400-40040000004i−4i4i−4i000000000000000000000000000000000000000
χ49444-4-4-4-44-4400-4004000000−4i4i−4i4i000000000000000000000000000000000000000
χ5044-44-44-4-4004-40-4400000000000000000000000000022−22−22220000000000000000000
χ5144-44-44-4-4004-40-44000000000000000000000000000−222222−220000000000000000000
χ5244-44-44-4-400-4404-4004-4-4400000000000000000000000000000000000000000000
χ5344-44-44-4-400-4404-400-444-400000000000000000000000000000000000000000000
χ544-4444-4-4-40000000000000022−22−222200000000000022−220000002-2-22000000000000000
χ554-4444-4-4-40000000000000022−22−2222000000000000−2222000000-222-2000000000000000
χ564-4444-4-4-400000000000000−222222−2200000000000022−22000000-222-2000000000000000
χ574-4444-4-4-400000000000000−222222−22000000000000−22220000002-2-22000000000000000
χ584-44-4-444-400-440-4400000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ594-44-4-444-400-440-440000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ604-4-44-4-4444-400-40040000000000000000000000000000000000000000000022−22000
χ614-4-44-4-4444-400-400400000000000000000000000000000000000000000000−2222000
χ624-4-44-4-444-4400400-400000000000000004i−4i0000000000000000000000000000000
χ634-4-44-4-444-4400400-40000000000000000−4i4i0000000000000000000000000000000
χ644-4-4-444-44-4-4444-4-4440000-40000000000000000000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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