Finite Group Databasebeta

← Group #19103

Character table — Group #19103

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222222244444444444888816161111222222224444444444488881616
order1222444488882244488888888884422224444888822444888888888844
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ3111111111111-1-11-1-111-1-1-1-11111-1-1111111111111-1-11-1-111-1-1-1-11111-1-1
χ4111111111111-1-11-1-111-1-1-1-1-1-1-1-111111111111111-1-11-1-111-1-1-1-1-1-1-1-111
χ511111111-1-1-1-111111-1-1-1-1-1-111-1-11-111111111-1-1-1-111111-1-1-1-1-1-111-1-11-1
χ611111111-1-1-1-111111-1-1-1-1-1-1-1-111-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ711111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1111111111-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ811111111-1-1-1-1-1-11-1-1-1-11111-1-1111-111111111-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ922222-2-22000022-2-2-200000000000022222-2-22000022-2-2-2000000000000
χ1022222-2-220000-2-2-22200000000000022222-2-220000-2-2-222000000000000
χ112222-222-2222200-200-2-200000000002222-222-2222200-200-2-20000000000
χ122222-222-2-2-2-2-200-2002200000000002222-222-2-2-2-2-200-200220000000000
χ132222-2-2-2-2000000200002i2i−2i−2i0000002222-2-2-2-2000000200002i2i−2i−2i000000
χ142222-2-2-2-200000020000−2i−2i2i2i0000002222-2-2-2-200000020000−2i−2i2i2i000000
χ152-22-20-22022-2-200000000000i2−i2i2−i2002-22-20-22022-2-200000000000i2−i2i2−i200
χ162-22-20-22022-2-200000000000−i2i2−i2i2002-22-20-22022-2-200000000000−i2i2−i2i200
χ172-22-20-220-2-22200000000000i2−i2−i2i2002-22-20-220-2-22200000000000i2−i2−i2i200
χ182-22-20-220-2-22200000000000−i2i2i2−i2002-22-20-220-2-22200000000000−i2i2i2−i200
χ192-2-22200-22−22−20002i−2i2−2i2−i2i2−i20000002-2-22200-22−22−20002i−2i2−2i2−i2i2−i2000000
χ202-2-22200-22−22−2000−2i2i2−2−i2i2−i2i20000002-2-22200-22−22−2000−2i2i2−2−i2i2−i2i2000000
χ212-2-22200-2−22−220002i−2i−22−i2i2−i2i20000002-2-22200-2−22−220002i−2i−22−i2i2−i2i2000000
χ222-2-22200-2−22−22000−2i2i−22i2−i2i2−i20000002-2-22200-2−22−22000−2i2i−22i2−i2i2−i2000000
χ232-2-22-20022−22−22-2000−222−2−220000002-2-22-20022−22−22-2000−222−2−22000000
χ242-2-22-20022−22−2-22000−22−222−20000002-2-22-20022−22−2-22000−22−222−2000000
χ252-2-22-2002−22−222-20002−2−222−20000002-2-22-2002−22−222-20002−2−222−2000000
χ262-2-22-2002−22−22-220002−22−2−220000002-2-22-2002−22−22-220002−22−2−22000000
χ2744-4-4000022−22−22220000000000000000044-4-4000022−22−222200000000000000000
χ2844-4-40000−222222−220000000000000000044-4-40000−222222−2200000000000000000
χ294-44-404-400000000000000000000004-44-404-40000000000000000000000
χ3011111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ32111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-111
χ33111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1
χ3411111111-1-1-1-111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-11
χ3511111111-1-1-1-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-11-1
χ3611111111-1-1-1-1-1-11-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-1-1111-1
χ3711111111-1-1-1-1-1-11-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-11
χ3822222-2-22000022-2-2-2000000000000-2-2-2-2-222-20000-2-2222000000000000
χ3922222-2-220000-2-2-222000000000000-2-2-2-2-222-20000222-2-2000000000000
χ402222-222-2222200-200-2-20000000000-2-2-2-22-2-22-2-2-2-200200220000000000
χ412222-222-2-2-2-2-200-200220000000000-2-2-2-22-2-22222200200-2-20000000000
χ422222-2-2-2-2000000200002i2i−2i−2i000000-2-2-2-22222000000-20000−2i−2i2i2i000000
χ432222-2-2-2-200000020000−2i−2i2i2i000000-2-2-2-22222000000-200002i2i−2i−2i000000
χ442-22-20-22022-2-200000000000i2−i2i2−i200-22-2202-20-2-22200000000000−i2i2−i2i200
χ452-22-20-22022-2-200000000000−i2i2−i2i200-22-2202-20-2-22200000000000i2−i2i2−i200
χ462-22-20-220-2-22200000000000i2−i2−i2i200-22-2202-2022-2-200000000000−i2i2i2−i200
χ472-22-20-220-2-22200000000000−i2i2i2−i200-22-2202-2022-2-200000000000i2−i2−i2i200
χ482-2-22200-22−22−20002i−2i2−2i2−i2i2−i2000000-222-2-2002−22−22000−2i2i−22−i2i2−i2i2000000
χ492-2-22200-22−22−2000−2i2i2−2−i2i2−i2i2000000-222-2-2002−22−220002i−2i−22i2−i2i2−i2000000
χ502-2-22200-2−22−220002i−2i−22−i2i2−i2i2000000-222-2-20022−22−2000−2i2i2−2i2−i2i2−i2000000
χ512-2-22200-2−22−22000−2i2i−22i2−i2i2−i2000000-222-2-20022−22−20002i−2i2−2−i2i2−i2i2000000
χ522-2-22-20022−22−22-2000−222−2−22000000-222-2200-2−22−22-220002−2−222−2000000
χ532-2-22-20022−22−2-22000−22−222−2000000-222-2200-2−22−222-20002−22−2−22000000
χ542-2-22-2002−22−222-20002−2−222−2000000-222-2200-22−22−2-22000−222−2−22000000
χ552-2-22-2002−22−22-220002−22−2−22000000-222-2200-22−22−22-2000−22−222−2000000
χ5644-4-4000022−22−222200000000000000000-4-4440000−222222−2200000000000000000
χ5744-4-40000−222222−2200000000000000000-4-444000022−22−222200000000000000000
χ584-44-404-40000000000000000000000-44-440-440000000000000000000000

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