Finite Group Databasebeta

← Group #10714538

Character table — Group #10714538

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order1222222234444666666688888888444488881212121212121212121212122424242424242424242424242424242416161616161616161616161616161616444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ922222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ11222222222-2-2-2-222222220000000022-2-20000-2-22222-2-2-2-2-2-200000000000000002222−2−2−2−22222−2−2−2−20000000000000000
χ12222222222-2-2-2-222222220000000022-2-20000-2-22222-2-2-2-2-2-20000000000000000−2−2−2−22222−2−2−2−222220000000000000000
χ13222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-200000000000000002222−2−2−2−2−2−2−2−222220000000000000000
χ14222222222-2-2-2-2222222200000000-2-2220000-2-2-2-2-2-22222-2-20000000000000000−2−2−2−222222222−2−2−2−20000000000000000
χ1522222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ1622222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ1722222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ1822222222-12222-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-111111111-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ1922222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ2022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ23222-2-2-22-22000022-2-2-2-2222−2−222−2−22i−2i00−i2−i2i2i2002i2i−2i−2i0000002222−2−2−2−2−i2−i2−i2−i2i2i2i2i2−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ470000000000000000
χ24222-2-2-22-22000022-2-2-2-2222−2−222−2−22i−2i00−i2−i2i2i2002i2i−2i−2i0000002222−2−2−2−2−i2−i2−i2−i2i2i2i2i2ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ470000000000000000
χ25222-2-2-22-22000022-2-2-2-2222−2−222−2−2−2i2i00i2i2−i2−i200−2i−2i2i2i0000002222−2−2−2−2i2i2i2i2−i2−i2−i2−i2−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ470000000000000000
χ26222-2-2-22-22000022-2-2-2-2222−2−222−2−2−2i2i00i2i2−i2−i200−2i−2i2i2i0000002222−2−2−2−2i2i2i2i2−i2−i2−i2−i2ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ470000000000000000
χ27222-2-2-22-22000022-2-2-2-22−2−222−2−2222i−2i00i2i2−i2−i2002i2i−2i−2i000000−2−2−2−22222i2i2i2i2−i2−i2−i2−i2ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430000000000000000
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χ29222-2-2-22-22000022-2-2-2-22−2−222−2−222−2i2i00−i2−i2i2i200−2i−2i2i2i000000−2−2−2−22222−i2−i2−i2−i2i2i2i2i2ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ430000000000000000
χ30222-2-2-22-22000022-2-2-2-22−2−222−2−222−2i2i00−i2−i2i2i200−2i−2i2i2i000000−2−2−2−22222−i2−i2−i2−i2i2i2i2i2−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ430000000000000000
χ3122-22-2-2-2222-22-22-222-2-2-20000000000002-22-22-2000000002-20000000022-2-222-2-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ3222-22-2-2-2222-22-22-222-2-2-20000000000002-22-22-2000000002-20000000022-2-222-2-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ3322-22-2-2-2222-22-22-222-2-2-2000000000000-22-222-2000000002-200000000-2-222-2-222−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ3422-22-2-2-2222-22-22-222-2-2-2000000000000-22-222-2000000002-200000000-2-222-2-222i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ3522-22-2-2-222-22-222-222-2-2-22-22-22-22-200000000-2200000000-2222-2-222-2-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ3622-22-2-2-222-22-222-222-2-2-22-22-22-22-200000000-2200000000-2222-2-222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ3722-22-2-2-222-22-222-222-2-2-2-22-22-22-2200000000-2200000000-22-2-222-2-222000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ3822-22-2-2-222-22-222-222-2-2-2-22-22-22-2200000000-2200000000-22-2-222-2-22200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ3922-2-222-2-2200002-2-2-222-22−2−222−2−22002i−2i−i2i2i2−i20000002i2i−2i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000000
χ4022-2-222-2-2200002-2-2-222-22−2−222−2−22002i−2i−i2i2i2−i20000002i2i−2i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000000
χ4122-2-222-2-2200002-2-2-222-22−2−222−2−2200−2i2ii2−i2−i2i2000000−2i−2i2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000000
χ4222-2-222-2-2200002-2-2-222-22−2−222−2−2200−2i2ii2−i2−i2i2000000−2i−2i2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000000
χ4322-2-222-2-2200002-2-2-222-2−222−2−222−2002i−2ii2−i2−i2i20000002i2i−2i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000000
χ4422-2-222-2-2200002-2-2-222-2−222−2−222−2002i−2ii2−i2−i2i20000002i2i−2i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000000
χ4522-2-222-2-2200002-2-2-222-2−222−2−222−200−2i2i−i2i2i2−i2000000−2i−2i2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000000
χ4622-2-222-2-2200002-2-2-222-2−222−2−222−200−2i2i−i2i2i2−i2000000−2i−2i2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000000
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χ482-22-2-22-2222-2-22-22-22-22-22222-2-2-2-2000000002-200000000-222-22-22-22-200000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ492-22-2-22-2222-2-22-22-22-22-2-2-2-2-22222000000002-200000000-22-22-22-22-220000000000000000000000002-2002-22-200000000
χ502-22-2-22-2222-2-22-22-22-22-2-2-2-2-22222000000002-200000000-22-22-22-22-22000000000000000000000000-2200-22-2200000000
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χ522-22-2-22-22-12-2-221-11-11-112222-2-2-2-200000000-113−33−33−33−31-1-11-11-11-113−33−33−33−3000000000000000000−2i2ii3−i3−i3i3i−ii−i0000
χ532-22-2-22-22-12-2-221-11-11-112222-2-2-2-200000000-11−33−33−33−331-1-11-11-11-11−33−33−33−330000000000000000002i−2ii3−i3−i3i3−ii−ii0000
χ542-22-2-22-22-12-2-221-11-11-112222-2-2-2-200000000-11−33−33−33−331-1-11-11-11-11−33−33−33−33000000000000000000−2i2i−i3i3i3−i3i−ii−i0000
χ552-22-2-22-22-12-2-221-11-11-11-2-2-2-2222200000000-113−33−33−33−31-11-11-11-11-1−33−33−33−3300000000000000002-200-11-113−3−330000
χ562-22-2-22-22-12-2-221-11-11-11-2-2-2-2222200000000-113−33−33−33−31-11-11-11-11-1−33−33−33−330000000000000000-22001-11-1−333−30000
χ572-22-2-22-22-12-2-221-11-11-11-2-2-2-2222200000000-11−33−33−33−331-11-11-11-11-13−33−33−33−300000000000000002-200-11-11−333−30000
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χ602-2-2-22-2222-2-222-2-2-222-222-22-2-22-2200000000-2-200000000222-2-222-2-22000000000000000000000000000000000000-2200
χ612-2-2-22-2222-2-222-2-2-222-22-22-222-22-200000000-2-20000000022-222-2-222-2000000000000000000000000000000000000002-2
χ622-2-2-22-2222-2-222-2-2-222-22-22-222-22-200000000-2-20000000022-222-2-222-200000000000000000000000000000000000000-22
χ6344444444-2-4-4-4-4-2-2-2-2-2-2-20000000044-4-4000022-2-2-2-2222222000000000000000000000000000000000000000000000000
χ6444444444-2-4-4-4-4-2-2-2-2-2-2-200000000-4-4440000222222-2-2-2-222000000000000000000000000000000000000000000000000
χ65444-4-4-44-4-20000-2-22222-22222−22−222222−22−224i−4i00−2i2−2i22i22i200−2i−2i2i2i000000−2−2−2−22222i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000
χ66444-4-4-44-4-20000-2-22222-22222−22−222222−22−22−4i4i002i22i2−2i2−2i2002i2i−2i−2i000000−2−2−2−22222−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000
χ67444-4-4-44-4-20000-2-22222-2−22−222222−22−2222224i−4i002i22i2−2i2−2i200−2i−2i2i2i0000002222−2−2−2−2−i2−i2−i2−i2i2i2i2i200000000000000000000000000000000
χ68444-4-4-44-4-20000-2-22222-2−22−222222−22−222222−4i4i00−2i2−2i22i22i2002i2i−2i−2i0000002222−2−2−2−2i2i2i2i2−i2−i2−i2−i200000000000000000000000000000000
χ6944-44-4-4-44-24-44-4-22-2-22220000000000004-44-4-2200000000-2200000000-2-222-2-22200000000000000000000000000000000
χ7044-44-4-4-44-24-44-4-22-2-2222000000000000-44-44-2200000000-220000000022-2-222-2-200000000000000000000000000000000
χ7144-44-4-4-44-2-44-44-22-2-22224-44-44-44-4000000002-2000000002-2-2-222-2-2220000000000000000000000000000000000000000
χ7244-44-4-4-44-2-44-44-22-2-2222-44-44-44-44000000002-2000000002-222-2-222-2-20000000000000000000000000000000000000000
χ7344-4-444-4-4-20000-2222-2-2222−22−222222−22−2222004i−4i−2i22i22i2−2i2000000−2i−2i2i2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ7444-4-444-4-4-20000-2222-2-2222−22−222222−22−222200−4i4i2i2−2i2−2i22i20000002i2i−2i−2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ7544-4-444-4-4-20000-2222-2-22−222222−22−222222−22004i−4i2i2−2i2−2i22i2000000−2i−2i2i2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ7644-4-444-4-4-20000-2222-2-22−222222−22−222222−2200−4i4i−2i22i22i2−2i20000002i2i−2i−2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ774-4444-4-4-440000-444-44-4-42222−22−22−22−2222220000000000000000000022−2222−22−2222−22220000000000000000000000000000000000000000
χ784-4444-4-4-440000-444-44-4-4−22−2222222222−22−2200000000000000000000−2222−222222−2222−220000000000000000000000000000000000000000
χ794-4444-4-4-4-200002-2-22-2222222−22−22−22−2222220000000000−2i32i32i3−2i3000000−22−222−22−2i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ804-4444-4-4-4-200002-2-22-2222222−22−22−22−22222200000000002i3−2i3−2i32i3000000−22−222−22−2−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ814-4444-4-4-4-200002-2-22-222−22−2222222222−22−220000000000−2i32i32i3−2i30000002−22−2−22−22−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000
χ824-4444-4-4-4-200002-2-22-222−22−2222222222−22−2200000000002i3−2i3−2i32i30000002−22−2−22−22i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000
χ834-44-4-44-444-444-4-44-44-44-40000000000000000-44000000004-4000000000000000000000000000000000000000000000000
χ844-44-4-44-44-2-444-42-22-22-2200000000000000002-223−2323−23−2323−2323-22000000000000000000000000000000000000000000000000
χ854-44-4-44-44-2-444-42-22-22-2200000000000000002-2−2323−232323−2323−23-22000000000000000000000000000000000000000000000000
χ864-4-44-444-440000-4-44-4-44422−22−2222−222222−220000000000000000000022−22−2222−222222−220000000000000000000000000000000000000000
χ874-4-44-444-440000-4-44-4-444−222222−2222−22−222200000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000
χ884-4-44-444-4-2000022-222-2-222−22−2222−222222−2200000000000000−2i32i32i3−2i300−222−22−2−22i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ894-4-44-444-4-2000022-222-2-222−22−2222−222222−22000000000000002i3−2i3−2i32i300−222−22−2−22−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ904-4-44-444-4-2000022-222-2-2−222222−2222−22−222200000000000000−2i32i32i3−2i3002−2−22−222−2−i6i6i6−i6i6−i6−i6i600000000000000000000000000000000
χ914-4-44-444-4-2000022-222-2-2−222222−2222−22−2222000000000000002i3−2i3−2i32i3002−2−22−222−2i6−i6−i6i6−i6i6i6−i600000000000000000000000000000000
χ924-4-4-44-444444-4-4-4-4-444-4400000000000000004400000000-4-4000000000000000000000000000000000000000000000000
χ934-4-4-44-444-244-4-4222-2-22-20000000000000000-2-200000000220000000023−23−232323−23−232300000000000000000000000000000000
χ944-4-4-44-444-244-4-4222-2-22-20000000000000000-2-2000000002200000000−232323−23−232323−2300000000000000000000000000000000
χ954-4-4-44-444-2-4-444222-2-22-24-44-4-44-44000000002200000000-2-2-222-2-222-20000000000000000000000000000000000000000
χ964-4-4-44-444-2-4-444222-2-22-2-44-444-44-4000000002200000000-2-22-2-222-2-220000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.