Finite Group Databasebeta

← Group #10944230

Character table — Group #10944230

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222222222222222244444444444444444444444444446666666666666666666666666666666616161616161616161616161648484848
order1222222222222222222234444444444444444666666666666666666612121212121212121212121212121212888888888888888888888888888888882444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1
χ1011111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-11
χ1111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-11-11
χ1211111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-11
χ17222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ1922222222222222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ2022222222222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2122222222222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ22222222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-222222222-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ23222222222222-2-2-2-2-2-2-2-2-12222222-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ24222222222222-2-2-2-2-2-2-2-2-12222222-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ25222222222222-2-2-2-2-2-2-2-2-1-2-2-2-2-2-2-222222222-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ26222222222222-2-2-2-2-2-2-2-2-1-2-2-2-2-2-2-222222222-2-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ2722222222-2-2-2-22222-2-2-2-22-2-2-22222-2-2-2-22222-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222222-2-2-2-22222-2-2-2-2-1222-2-2-2-22222-2-2-2-22-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000000000002-22-2-1-111-1-1110000
χ2922222222-2-2-2-22222-2-2-2-2-1222-2-2-2-22222-2-2-2-22-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000-22-2211-1-111-1-10000
χ3022222222-2-2-2-22222-2-2-2-2-1-2-2-22222-2-2-2-22222-2-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ3122222222-2-2-2-22222-2-2-2-2-1-2-2-22222-2-2-2-22222-2-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ3222222222-2-2-2-2-2-2-2-222222-2-2-222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3322222222-2-2-2-2-2-2-2-22222-1222-2-2-2-2-2-2-2-222222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000000000000000000000002-2-22-1-11111-1-10000
χ3422222222-2-2-2-2-2-2-2-22222-1222-2-2-2-2-2-2-2-222222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000000000000000-222-211-1-1-1-1110000
χ3522222222-2-2-2-2-2-2-2-22222-1-2-2-222222222-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ3622222222-2-2-2-2-2-2-2-22222-1-2-2-222222222-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ372222-2-2-2-222-2-222-2-222-2-220000000000000000-2-2-2222-222-2-222-2-222-2-20000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ382222-2-2-2-222-2-222-2-222-2-220000000000000000-2-2-2222-222-2-222-2-222-2-20000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ392222-2-2-2-222-2-2-2-222-2-22220000000000000000-2-2-2222-222-2-2-2-222-2-2220000000000000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ402222-2-2-2-222-2-2-2-222-2-22220000000000000000-2-2-2222-222-2-2-2-222-2-2220000000000000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ412222-2-2-2-2-2-22222-2-2-2-22220000000000000000-2-2-2222-2-2-22222-2-2-2-2220000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ422222-2-2-2-2-2-22222-2-2-2-22220000000000000000-2-2-2222-2-2-22222-2-2-2-2220000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ432222-2-2-2-2-2-222-2-22222-2-220000000000000000-2-2-2222-2-2-222-2-22222-2-20000000000000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i20000000000000000
χ442222-2-2-2-2-2-222-2-22222-2-220000000000000000-2-2-2222-2-2-222-2-22222-2-20000000000000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i20000000000000000
χ4522-2-222-2-2000000002-22-220002i2i−2i−2i2i2i−2i−2i0000022-22-2-2-2000000002-22-200002i2i−2i−2i2i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ4622-2-222-2-2000000002-22-220002i2i−2i−2i2i2i−2i−2i0000022-22-2-2-2000000002-22-200002i2i−2i−2i2i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ4722-2-222-2-2000000002-22-22000−2i−2i2i2i−2i−2i2i2i0000022-22-2-2-2000000002-22-20000−2i−2i2i2i−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ4822-2-222-2-2000000002-22-22000−2i−2i2i2i−2i−2i2i2i0000022-22-2-2-2000000002-22-20000−2i−2i2i2i−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ4922-2-222-2-200000000-22-2220002i2i−2i−2i−2i−2i2i2i0000022-22-2-2-200000000-22-2200002i2i−2i−2i−2i−2i2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−2−2−222−2−222i2i2−i2−i2i2i2−i2−i20000000000000000
χ5022-2-222-2-200000000-22-2220002i2i−2i−2i−2i−2i2i2i0000022-22-2-2-200000000-22-2200002i2i−2i−2i−2i−2i2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−22222−2−222−2−2−i2−i2i2i2−i2−i2i2i20000000000000000
χ5122-2-222-2-200000000-22-222000−2i−2i2i2i2i2i−2i−2i0000022-22-2-2-200000000-22-220000−2i−2i2i2i2i2i−2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−22222−2−222−2−2i2i2−i2−i2i2i2−i2−i20000000000000000
χ5222-2-222-2-200000000-22-222000−2i−2i2i2i2i2i−2i−2i0000022-22-2-2-200000000-22-220000−2i−2i2i2i2i2i−2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2−222−2−222−i2−i2i2i2−i2−i2i2i20000000000000000
χ5322-2-2-2-222000000002-2-22222-20000000022-2-2-2-2-222-2-22000000002-2-2222-2-20000000022-2-2000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5422-2-2-2-222000000002-2-22222-20000000022-2-2-2-2-222-2-22000000002-2-2222-2-20000000022-2-200000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5522-2-2-2-222000000002-2-222-2-2200000000-2-2222-2-222-2-22000000002-2-22-2-22200000000-2-22222-2-2-2-222000000000000000022-2-2-2-2220000000000000000
χ5622-2-2-2-222000000002-2-222-2-2200000000-2-2222-2-222-2-22000000002-2-22-2-22200000000-2-222-2-22222-2-20000000000000000-2-22222-2-20000000000000000
χ5722-2-2-2-22200000000-222-2222-200000000-2-222-2-2-222-2-2200000000-222-222-2-200000000-2-222000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5822-2-2-2-22200000000-222-2222-200000000-2-222-2-2-222-2-2200000000-222-222-2-200000000-2-22200000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5922-2-2-2-22200000000-222-22-2-220000000022-2-22-2-222-2-2200000000-222-2-2-2220000000022-2-222-2-2-2-2220000000000000000-2-22222-2-20000000000000000
χ6022-2-2-2-22200000000-222-22-2-220000000022-2-22-2-222-2-2200000000-222-2-2-2220000000022-2-2-2-22222-2-2000000000000000022-2-2-2-2220000000000000000
χ612-22-22-22-200002-22-2000020002i−2i2i−2i00002i−2i2i−2i02-22-22-2-200002-22-2000000002i−2i2i−2i00002i−2i2i−2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ622-22-22-22-200002-22-2000020002i−2i2i−2i00002i−2i2i−2i02-22-22-2-200002-22-2000000002i−2i2i−2i00002i−2i2i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ632-22-22-22-200002-22-200002000−2i2i−2i2i0000−2i2i−2i2i02-22-22-2-200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ642-22-22-22-200002-22-200002000−2i2i−2i2i0000−2i2i−2i2i02-22-22-2-200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ652-22-22-22-20000-22-22000020002i−2i2i−2i0000−2i2i−2i2i02-22-22-2-20000-22-22000000002i−2i2i−2i0000−2i2i−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ662-22-22-22-20000-22-22000020002i−2i2i−2i0000−2i2i−2i2i02-22-22-2-20000-22-22000000002i−2i2i−2i0000−2i2i−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ672-22-22-22-20000-22-2200002000−2i2i−2i2i00002i−2i2i−2i02-22-22-2-20000-22-2200000000−2i2i−2i2i00002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
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Here i is the imaginary unit (i² = −1).