Finite Group Databasebeta

← Group #6439639

Character table — Group #6439639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444444448888442222222244444444444444444488888888224444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1-1-111
χ51111111111111111-1-1-1-11111111111111111-1-1-11111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-11111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-11
χ1011111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-111-1-11-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-111-1-11-1
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1111-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1111-1
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-111-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-111-1-1-11
χ1311111111-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-111111111-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-1
χ1411111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-1111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-11
χ1511111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-1111-1-1-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-1111-1-1-11
χ1611111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11-1-1111-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11-1-1111-1
χ17222222222222-2-2-2-22222-2-20000000000000000-2000000-2000000222222222222-2-2-2-22222-2-20000000000000000-2000000-2000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000000020000002000000222222222222-2-2-2-2-2-2-2-2-2-2000000000000000020000002000000
χ1922222222-2-2-2-2-2-2-2-222-2-2220000000000000000-2000000200000022222222-2-2-2-2-2-2-2-222-2-2220000000000000000-20000002000000
χ2022222222-2-2-2-2-2-2-2-2-2-2222200000000000000002000000-200000022222222-2-2-2-2-2-2-2-2-2-2222200000000000000002000000-2000000
χ2122-22-2-22-20000-22-220000002i2i−2i−2i2i2i−2i−2i00002-2000000000000000022-22-2-22-20000-22-220000002i2i−2i−2i2i2i−2i−2i00002-20000000000000000
χ2222-22-2-22-20000-22-220000002i2i−2i−2i−2i−2i2i2i0000-22000000000000000022-22-2-22-20000-22-220000002i2i−2i−2i−2i−2i2i2i0000-220000000000000000
χ2322-22-2-22-20000-22-22000000−2i−2i2i2i2i2i−2i−2i0000-22000000000000000022-22-2-22-20000-22-22000000−2i−2i2i2i2i2i−2i−2i0000-220000000000000000
χ2422-22-2-22-20000-22-22000000−2i−2i2i2i−2i−2i2i2i00002-2000000000000000022-22-2-22-20000-22-22000000−2i−2i2i2i−2i−2i2i2i00002-20000000000000000
χ252-222-2-2-222i2i−2i−2i00002-22i−2i0000002−22−2i2i2−i2−i2000000000000i2−i22−2002-222-2-2-222i2i−2i−2i00002-22i−2i0000002−22−2i2i2−i2−i2000000000000i2−i22−200
χ262-222-2-2-222i2i−2i−2i00002-22i−2i000000−22−22−i2−i2i2i2000000000000−i2i2−22002-222-2-2-222i2i−2i−2i00002-22i−2i000000−22−22−i2−i2i2i2000000000000−i2i2−2200
χ272-222-2-2-222i2i−2i−2i0000-22−2i2i0000002−22−2i2i2−i2−i2000000000000−i2i2−22002-222-2-2-222i2i−2i−2i0000-22−2i2i0000002−22−2i2i2−i2−i2000000000000−i2i2−2200
χ282-222-2-2-222i2i−2i−2i0000-22−2i2i000000−22−22−i2−i2i2i2000000000000i2−i22−2002-222-2-2-222i2i−2i−2i0000-22−2i2i000000−22−22−i2−i2i2i2000000000000i2−i22−200
χ292-222-2-2-22−2i−2i2i2i00002-2−2i2i0000002−22−2−i2−i2i2i2000000000000−i2i22−2002-222-2-2-22−2i−2i2i2i00002-2−2i2i0000002−22−2−i2−i2i2i2000000000000−i2i22−200
χ302-222-2-2-22−2i−2i2i2i00002-2−2i2i000000−22−22i2i2−i2−i2000000000000i2−i2−22002-222-2-2-22−2i−2i2i2i00002-2−2i2i000000−22−22i2i2−i2−i2000000000000i2−i2−2200
χ312-222-2-2-22−2i−2i2i2i0000-222i−2i0000002−22−2−i2−i2i2i2000000000000i2−i2−22002-222-2-2-22−2i−2i2i2i0000-222i−2i0000002−22−2−i2−i2i2i2000000000000i2−i2−2200
χ322-222-2-2-22−2i−2i2i2i0000-222i−2i000000−22−22i2i2−i2−i2000000000000−i2i22−2002-222-2-2-22−2i−2i2i2i0000-222i−2i000000−22−22i2i2−i2−i2000000000000−i2i22−200
χ332-22-22-22-22i−2i2i−2i2-2-2200002i−2i2i−2i2i−2i0000000000000002-20000000002-22-22-22-22i−2i2i−2i2-2-2200002i−2i2i−2i2i−2i0000000000000002-2000000000
χ342-22-22-22-22i−2i2i−2i2-2-2200002i−2i−2i2i−2i2i000000000000000-220000000002-22-22-22-22i−2i2i−2i2-2-2200002i−2i−2i2i−2i2i000000000000000-22000000000
χ352-22-22-22-22i−2i2i−2i-222-20000−2i2i000000000000002i−2i000002-200000002-22-22-22-22i−2i2i−2i-222-20000−2i2i000000000000002i−2i000002-20000000
χ362-22-22-22-22i−2i2i−2i-222-20000−2i2i00000000000000−2i2i00000-2200000002-22-22-22-22i−2i2i−2i-222-20000−2i2i00000000000000−2i2i00000-220000000
χ372-22-22-22-2−2i2i−2i2i2-2-220000−2i2i2i−2i2i−2i000000000000000-220000000002-22-22-22-2−2i2i−2i2i2-2-220000−2i2i2i−2i2i−2i000000000000000-22000000000
χ382-22-22-22-2−2i2i−2i2i2-2-220000−2i2i−2i2i−2i2i0000000000000002-20000000002-22-22-22-2−2i2i−2i2i2-2-220000−2i2i−2i2i−2i2i0000000000000002-2000000000
χ392-22-22-22-2−2i2i−2i2i-222-200002i−2i000000000000002i−2i00000-2200000002-22-22-22-2−2i2i−2i2i-222-200002i−2i000000000000002i−2i00000-220000000
χ402-22-22-22-2−2i2i−2i2i-222-200002i−2i00000000000000−2i2i000002-200000002-22-22-22-2−2i2i−2i2i-222-200002i−2i00000000000000−2i2i000002-20000000
χ412-2-2-2-22220000-2-2220000002-2-2200002-22-2000002-2000000000002-2-2-2-22220000-2-2220000002-2-2200002-22-2000002-200000000000
χ422-2-2-2-22220000-2-2220000002-2-220000-22-2200000-22000000000002-2-2-2-22220000-2-2220000002-2-220000-22-2200000-2200000000000
χ432-2-2-2-22220000-2-222000000-222-200002-22-200000-22000000000002-2-2-2-22220000-2-222000000-222-200002-22-200000-2200000000000
χ442-2-2-2-22220000-2-222000000-222-20000-22-22000002-2000000000002-2-2-2-22220000-2-222000000-222-20000-22-22000002-200000000000
χ45444-4-44-4-44-4-440000000000000000000000000000000000000000444-4-44-4-44-4-440000000000000000000000000000000000000000
χ46444-4-44-4-4-444-40000000000000000000000000000000000000000444-4-44-4-4-444-40000000000000000000000000000000000000000
χ4744-44-4-44-400004-44-400000000000000000000000000000000000044-44-4-44-400004-44-4000000000000000000000000000000000000
χ4844-4-44-4-4400000000000000000000002i2−2i2−2i22i200000000000000000044-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4944-4-44-4-440000000000000000000000−2i22i22i2−2i200000000000000000044-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ504-4-4444-4-40000000000000000002i2−2i2−2i22i200000000000000000000004-4-4444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ514-4-4444-4-4000000000000000000−2i22i22i2−2i200000000000000000000004-4-4444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ524-4-4-4-4444000044-4-40000000000000000000000000000000000004-4-4-4-4444000044-4-4000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-11111-11111-1-1
χ571111111111111111-1-1-1-11111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111-1-1111-1-1-1-1-1-1
χ591111111111111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111111-1-111111-1-1
χ601111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11-1-111-1-11-1-1-1-111
χ6111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111111-1-11-1
χ6211111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111111-1-111-11
χ6311111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-11
χ6411111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-111-1-1-1-11-1-1111-1
χ6511111111-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-111-11
χ6611111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-111-1-11-1
χ6711111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-1111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111-1-11-1-1-1-111-1-1-1111-1
χ6811111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-1-111-111-1-1-11
χ69222222222222-2-2-2-22222-2-20000000000000000-2000000-2000000-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000020000002000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2000000000000000020000002000000-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000-2000000-2000000
χ7122222222-2-2-2-2-2-2-2-222-2-2220000000000000000-20000002000000-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000002000000-2000000
χ7222222222-2-2-2-2-2-2-2-2-2-2222200000000000000002000000-2000000-2-2-2-2-2-2-2-22222222222-2-2-2-20000000000000000-20000002000000
χ7322-22-2-22-20000-22-220000002i2i−2i−2i2i2i−2i−2i00002-20000000000000000-2-22-222-2200002-22-2000000−2i−2i2i2i−2i−2i2i2i0000-220000000000000000
χ7422-22-2-22-20000-22-220000002i2i−2i−2i−2i−2i2i2i0000-220000000000000000-2-22-222-2200002-22-2000000−2i−2i2i2i2i2i−2i−2i00002-20000000000000000
χ7522-22-2-22-20000-22-22000000−2i−2i2i2i2i2i−2i−2i0000-220000000000000000-2-22-222-2200002-22-20000002i2i−2i−2i−2i−2i2i2i00002-20000000000000000
χ7622-22-2-22-20000-22-22000000−2i−2i2i2i−2i−2i2i2i00002-20000000000000000-2-22-222-2200002-22-20000002i2i−2i−2i2i2i−2i−2i0000-220000000000000000
χ772-222-2-2-222i2i−2i−2i00002-22i−2i0000002−22−2i2i2−i2−i2000000000000i2−i22−200-22-2-2222-2−2i−2i2i2i0000-22−2i2i000000−22−22−i2−i2i2i2000000000000−i2i2−2200
χ782-222-2-2-222i2i−2i−2i00002-22i−2i000000−22−22−i2−i2i2i2000000000000−i2i2−2200-22-2-2222-2−2i−2i2i2i0000-22−2i2i0000002−22−2i2i2−i2−i2000000000000i2−i22−200
χ792-222-2-2-222i2i−2i−2i0000-22−2i2i0000002−22−2i2i2−i2−i2000000000000−i2i2−2200-22-2-2222-2−2i−2i2i2i00002-22i−2i000000−22−22−i2−i2i2i2000000000000i2−i22−200
χ802-222-2-2-222i2i−2i−2i0000-22−2i2i000000−22−22−i2−i2i2i2000000000000i2−i22−200-22-2-2222-2−2i−2i2i2i00002-22i−2i0000002−22−2i2i2−i2−i2000000000000−i2i2−2200
χ812-222-2-2-22−2i−2i2i2i00002-2−2i2i0000002−22−2−i2−i2i2i2000000000000−i2i22−200-22-2-2222-22i2i−2i−2i0000-222i−2i000000−22−22i2i2−i2−i2000000000000i2−i2−2200
χ822-222-2-2-22−2i−2i2i2i00002-2−2i2i000000−22−22i2i2−i2−i2000000000000i2−i2−2200-22-2-2222-22i2i−2i−2i0000-222i−2i0000002−22−2−i2−i2i2i2000000000000−i2i22−200
χ832-222-2-2-22−2i−2i2i2i0000-222i−2i0000002−22−2−i2−i2i2i2000000000000i2−i2−2200-22-2-2222-22i2i−2i−2i00002-2−2i2i000000−22−22i2i2−i2−i2000000000000−i2i22−200
χ842-222-2-2-22−2i−2i2i2i0000-222i−2i000000−22−22i2i2−i2−i2000000000000−i2i22−200-22-2-2222-22i2i−2i−2i00002-2−2i2i0000002−22−2−i2−i2i2i2000000000000i2−i2−2200
χ852-22-22-22-22i−2i2i−2i2-2-2200002i−2i2i−2i2i−2i0000000000000002-2000000000-22-22-22-22−2i2i−2i2i-222-20000−2i2i−2i2i−2i2i000000000000000-22000000000
χ862-22-22-22-22i−2i2i−2i2-2-2200002i−2i−2i2i−2i2i000000000000000-22000000000-22-22-22-22−2i2i−2i2i-222-20000−2i2i2i−2i2i−2i0000000000000002-2000000000
χ872-22-22-22-22i−2i2i−2i-222-20000−2i2i000000000000002i−2i000002-20000000-22-22-22-22−2i2i−2i2i2-2-2200002i−2i00000000000000−2i2i00000-220000000
χ882-22-22-22-22i−2i2i−2i-222-20000−2i2i00000000000000−2i2i00000-220000000-22-22-22-22−2i2i−2i2i2-2-2200002i−2i000000000000002i−2i000002-20000000
χ892-22-22-22-2−2i2i−2i2i2-2-220000−2i2i2i−2i2i−2i000000000000000-22000000000-22-22-22-222i−2i2i−2i-222-200002i−2i−2i2i−2i2i0000000000000002-2000000000
χ902-22-22-22-2−2i2i−2i2i2-2-220000−2i2i−2i2i−2i2i0000000000000002-2000000000-22-22-22-222i−2i2i−2i-222-200002i−2i2i−2i2i−2i000000000000000-22000000000
χ912-22-22-22-2−2i2i−2i2i-222-200002i−2i000000000000002i−2i00000-220000000-22-22-22-222i−2i2i−2i2-2-220000−2i2i00000000000000−2i2i000002-20000000
χ922-22-22-22-2−2i2i−2i2i-222-200002i−2i00000000000000−2i2i000002-20000000-22-22-22-222i−2i2i−2i2-2-220000−2i2i000000000000002i−2i00000-220000000
χ932-2-2-2-22220000-2-2220000002-2-2200002-22-2000002-200000000000-22222-2-2-2000022-2-2000000-222-20000-22-2200000-2200000000000
χ942-2-2-2-22220000-2-2220000002-2-220000-22-2200000-2200000000000-22222-2-2-2000022-2-2000000-222-200002-22-2000002-200000000000
χ952-2-2-2-22220000-2-222000000-222-200002-22-200000-2200000000000-22222-2-2-2000022-2-20000002-2-220000-22-22000002-200000000000
χ962-2-2-2-22220000-2-222000000-222-20000-22-22000002-200000000000-22222-2-2-2000022-2-20000002-2-2200002-22-200000-2200000000000
χ97444-4-44-4-44-4-440000000000000000000000000000000000000000-4-4-444-444-444-40000000000000000000000000000000000000000
χ98444-4-44-4-4-444-40000000000000000000000000000000000000000-4-4-444-4444-4-440000000000000000000000000000000000000000
χ9944-44-4-44-400004-44-4000000000000000000000000000000000000-4-44-444-440000-44-44000000000000000000000000000000000000
χ10044-4-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000-4-444-444-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ10144-4-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000-4-444-444-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1024-4-4444-4-40000000000000000002i2−2i2−2i22i20000000000000000000000-444-4-4-444000000000000000000−2i22i22i2−2i20000000000000000000000
χ1034-4-4444-4-4000000000000000000−2i22i22i2−2i20000000000000000000000-444-4-4-4440000000000000000002i2−2i2−2i22i20000000000000000000000
χ1044-4-4-4-4444000044-4-4000000000000000000000000000000000000-44444-4-4-40000-4-444000000000000000000000000000000000000

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