Finite Group Databasebeta

← Group #10694949

Character table — Group #10694949

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222222222222222244444444444444444444444444446666666666666666666666666666666616161616161616161616161648484848
order122222223444444444444666666688888888888888881212121212121212121212122424242424242424242424242424242488888888888888888888888888888888444412121212121212122222
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ91-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−ii−ii−iii−i−iii−i−i1-11-1
χ101-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ii−ii−i−iii−i−iii-11-11
χ111-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiii−ii−iii−i−iii−i−i-11-11
χ121-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ii−ii−i−iii−i−iii1-11-1
χ131-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iiii−i−i−i−iii1-1-11
χ141-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−i−iiiii−i−i-111-1
χ151-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iiii−i−i−i−iii-111-1
χ161-1-1-1111-111111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−iiiii−i−i1-1-11
χ1722222222222-2-2-2-2-2-222-2-22222222000000000000000022-2-222-2-2-2-2-2-2000000000000000000000000000000002222-2-2-2-22222-2-2-2-20000000000000000
χ1822222222222-2-2-2-2-2-222-2-22222222000000000000000022-2-222-2-2-2-2-2-200000000000000000000000000000000-2-2-2-22222-2-2-2-222220000000000000000
χ19222222222-2-222-2-2-2-2-2-22222222220000000000000000-2-222-2-222-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ20222222222-2-222-2-2-2-2-2-22222222220000000000000000-2-222-2-222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ21222222222-2-2-2-22222-2-2-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ22222222222-2-2-2-22222-2-2-2-22222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ2322222222-1222222222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ2422222222-1222222222222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2111111110000
χ2522222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000022-2-2-1-1-1-111110000
χ2622222222-1222222222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000-2-2221111-1-1-1-10000
χ2722222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2822222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111-1-1-1-11111000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2922222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ3022222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ31222-22-2-2-2200002-22-2000022-22-2-2-2000022-2-2000022-2-2000000002-22-2000022-2-2000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ32222-22-2-2-2200002-22-2000022-22-2-2-2000022-2-2000022-2-2000000002-22-2000022-2-2000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ33222-22-2-2-2200002-22-2000022-22-2-2-20000-2-2220000-2-222000000002-22-20000-2-2220000-2-222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ34222-22-2-2-2200002-22-2000022-22-2-2-20000-2-2220000-2-222000000002-22-20000-2-2220000-2-222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ35222-22-2-2-220000-22-22000022-22-2-2-222-2-2000022-2-2000000000000-22-2222-2-2000022-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ36222-22-2-2-220000-22-22000022-22-2-2-222-2-2000022-2-2000000000000-22-2222-2-2000022-2-20000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ37222-22-2-2-220000-22-22000022-22-2-2-2-2-2220000-2-222000000000000-22-22-2-2220000-2-2220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ38222-22-2-2-220000-22-22000022-22-2-2-2-2-2220000-2-222000000000000-22-22-2-2220000-2-2220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3922-22-22-2-22002-20000002-22-22-22-2-22−22−22−22−22−22−22−22−2002-2002-200002−22−22−22−22−22−22−22−200002i−2i2i−2i00002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4022-22-22-2-22002-20000002-22-22-22-2-22−22−22−22−22−22−22−22−2002-2002-200002−22−22−22−22−22−22−22−20000−2i2i−2i2i0000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4122-22-22-2-22002-20000002-22-22-22-2-2−22−22−22−22−22−22−22−22002-2002-20000−22−22−22−22−22−22−22−2200002i−2i2i−2i00002i−2i2i−2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4222-22-22-2-22002-20000002-22-22-22-2-2−22−22−22−22−22−22−22−22002-2002-20000−22−22−22−22−22−22−22−220000−2i2i−2i2i0000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4322-22-22-2-2200-22000000-222-22-22-2-22−22−2−22−222−22−2−22−2200-2200-2200002−22−2−22−222−22−2−22−222i−2i2i−2i00002i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ4422-22-22-2-2200-22000000-222-22-22-2-22−22−2−22−222−22−2−22−2200-2200-2200002−22−2−22−222−22−2−22−22−2i2i−2i2i0000−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ4522-22-22-2-2200-22000000-222-22-22-2-2−22−222−22−2−22−222−22−200-2200-220000−22−222−22−2−22−222−22−22i−2i2i−2i00002i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ4622-22-22-2-2200-22000000-222-22-22-2-2−22−222−22−2−22−222−22−200-2200-220000−22−222−22−2−22−222−22−2−2i2i−2i2i0000−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ4722-2-2-2-22222-20000002-2002-2-2-2-2222−2−222−2−222−2−222−2−222-2002-20000002−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−220000-222-20000-222-20000000000000000
χ4822-2-2-2-22222-20000002-2002-2-2-2-2222−2−222−2−222−2−222−2−222-2002-20000002−2−222−2−222−2−222−2−22−222−2−222−2−222−2−222−200002-2-2200002-2-220000000000000000
χ4922-2-2-2-22222-20000002-2002-2-2-2-222−222−2−222−2−222−2−222−22-2002-2000000−222−2−222−2−222−2−222−22−2−222−2−222−2−222−2−2200002-2-2200002-2-220000000000000000
χ5022-2-2-2-22222-20000002-2002-2-2-2-222−222−2−222−2−222−2−222−22-2002-2000000−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−20000-222-20000-222-20000000000000000
χ5122-2-2-2-2222-22000000-22002-2-2-2-2222−2−22−222−22−2−22−222−2-2200-220000002−2−22−222−22−2−22−222−22−2−22−222−22−2−22−222−2-222-20000-222-200000000000000000000
χ5222-2-2-2-2222-22000000-22002-2-2-2-2222−2−22−222−22−2−22−222−2-2200-220000002−2−22−222−22−2−22−222−2−222−22−2−22−222−22−2−222-2-2200002-2-2200000000000000000000
χ5322-2-2-2-2222-22000000-22002-2-2-2-222−222−22−2−22−222−22−2−22-2200-22000000−222−22−2−22−222−22−2−222−2−22−222−22−2−22−222−22-2-2200002-2-2200000000000000000000
χ5422-2-2-2-2222-22000000-22002-2-2-2-222−222−22−2−22−222−22−2−22-2200-22000000−222−22−2−22−222−22−2−22−222−22−2−22−222−22−2−22-222-20000-222-200000000000000000000
χ552-222-2-22-222-2000000-2200-222-2-22-22−2−222−2−22−222−2−222−22-200-220000002−2−222−2−22−222−2−222−2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ562-222-2-22-222-2000000-2200-222-2-22-22−2−222−2−22−222−2−222−22-200-220000002−2−222−2−22−222−2−222−2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ572-222-2-22-222-2000000-2200-222-2-22-2−222−2−222−22−2−222−2−222-200-22000000−222−2−222−22−2−222−2−22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ582-222-2-22-222-2000000-2200-222-2-22-2−222−2−222−22−2−222−2−222-200-22000000−222−2−222−22−2−222−2−22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ592-222-2-22-22-220000002-200-222-2-22-22−2−22−222−2−222−22−2−22-22002-20000002−2−22−222−2−222−22−2−22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ602-222-2-22-22-220000002-200-222-2-22-22−2−22−222−2−222−22−2−22-22002-20000002−2−22−222−2−222−22−2−22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ612-222-2-22-22-220000002-200-222-2-22-2−222−22−2−222−2−22−222−2-22002-2000000−222−22−2−222−2−22−222−2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i00002i−2i−2i2i00000000000000000000
χ622-222-2-22-22-220000002-200-222-2-22-2−222−22−2−222−2−22−222−2-22002-2000000−222−22−2−222−2−22−222−2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i0000−2i2i2i−2i00000000000000000000
χ632-22-2-22-222002-2000000-22-22-2-22-222−22−22−22−2−22−22−22−22002-200-2200002−22−22−22−2−22−22−22−2200002-22-20000-22-22−22−22−22−222−22−22−22−20000000000000000
χ642-22-2-22-222002-2000000-22-22-2-22-222−22−22−22−2−22−22−22−22002-200-2200002−22−22−22−2−22−22−22−220000-22-2200002-22-22−22−22−22−2−22−22−22−220000000000000000
χ652-22-2-22-222002-2000000-22-22-2-22-22−22−22−22−222−22−22−22−2002-200-220000−22−22−22−222−22−22−22−200002-22-20000-22-222−22−22−22−2−22−22−22−220000000000000000
χ662-22-2-22-222002-2000000-22-22-2-22-22−22−22−22−222−22−22−22−2002-200-220000−22−22−22−222−22−22−22−20000-22-2200002-22-2−22−22−22−222−22−22−22−20000000000000000
χ672-22-2-22-22200-220000002-2-22-2-22-222−22−2−22−22−22−222−22−200-22002-200002−22−2−22−22−22−222−22−22-22-20000-22-220000−22−222−22−22−22−2−22−220000000000000000
χ682-22-2-22-22200-220000002-2-22-2-22-222−22−2−22−22−22−222−22−200-22002-200002−22−2−22−22−22−222−22−2-22-2200002-22-200002−22−2−22−22−22−222−22−20000000000000000
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Here i is the imaginary unit (i² = −1).