Finite Group Databasebeta

← Group #10817421

Character table — Group #10817421

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222222244444444444444444444444444444444446666666688888888888888888888888812121212121212121212121212121212242424242424
order1222222234444444444444444666666644444444441212121212121212121212121212121212121212121212128888888822224466666666121212121212121212122222888888888888444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ91111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ101111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ111111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ121111111111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111-1-1-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ161111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ171-111-1-11-11111-1-1ii−i−iii−i−i-1-11-1111-1-1-11-1i−ii−iii−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1i−i11-1-111-1-11-1i−ii−iii−i−i11-1-1ii−i−i11-1-111-1-11-1i−ii−i
χ181-111-1-11-11111-1-1ii−i−iii−i−i-1-11-1111-1-1-11-1i−ii−iii−i−i11-1-111-1-1ii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii1-11-1i−i11-1-111-1-11-1i−ii−iii−i−i-1-111−i−iii-1-111-1-111-11−ii−ii
χ191-111-1-11-11111-1-1ii−i−iii−i−i-1-11-1111-1-1-11-1i−ii−i−i−iii11-1-111-1-1ii−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11-11−ii-1-111-1-1111-1i−ii−i−i−iii-1-111ii−i−i11-1-111-1-1-11−ii−ii
χ201-111-1-11-11111-1-1ii−i−iii−i−i-1-11-1111-1-1-11-1i−ii−i−i−iii11-1-111-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11−ii-1-111-1-1111-1i−ii−i−i−iii11-1-1−i−iii-1-111-1-1111-1i−ii−i
χ211-111-1-11-11111-1-1−i−iii−i−iii-1-11-1111-1-1-11-1−ii−iiii−i−i11-1-111-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-11-11i−i-1-111-1-1111-1−ii−iiii−i−i11-1-1ii−i−i-1-111-1-1111-1−ii−ii
χ221-111-1-11-11111-1-1−i−iii−i−iii-1-11-1111-1-1-11-1−ii−iiii−i−i11-1-111-1-1−i−iii−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11-11i−i-1-111-1-1111-1−ii−iiii−i−i-1-111−i−iii11-1-111-1-1-11i−ii−i
χ231-111-1-11-11111-1-1−i−iii−i−iii-1-11-1111-1-1-11-1−ii−ii−i−iii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i1-11-1−ii11-1-111-1-11-1−ii−ii−i−iii-1-111ii−i−i-1-111-1-111-11i−ii−i
χ241-111-1-11-11111-1-1−i−iii−i−iii-1-11-1111-1-1-11-1−ii−ii−i−iii11-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii11-1-111-1-11-1−ii−ii−i−iii11-1-1−i−iii11-1-111-1-11-1−ii−ii
χ251-111-1-11-111-1-111ii−i−i−i−iii-1-11-1111-1-1-1-11i−i−iiii−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i1-1-11−ii11-1-1-1-111-11i−i−ii−i−iii11-1-1−i−iii11-1-1-1-111-11i−i−ii
χ261-111-1-11-111-1-111ii−i−i−i−iii-1-11-1111-1-1-1-11i−i−iiii−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-11−ii11-1-1-1-111-11i−i−ii−i−iii-1-111ii−i−i-1-11111-1-11-1−iii−i
χ271-111-1-11-111-1-111ii−i−i−i−iii-1-11-1111-1-1-1-11i−i−ii−i−iii11-1-1-1-111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i-1-11111-1-1-11i−i−iiii−i−i-1-111−i−iii11-1-1-1-1111-1−iii−i
χ281-111-1-11-111-1-111ii−i−i−i−iii-1-11-1111-1-1-1-11i−i−ii−i−iii11-1-1-1-111ii−i−i−i−iii−i−i−i−iiiii−i−i−i−iiiii-111-1i−i-1-11111-1-1-11i−i−iiii−i−i11-1-1ii−i−i-1-11111-1-1-11i−i−ii
χ291-111-1-11-111-1-111−i−iiiii−i−i-1-11-1111-1-1-1-11−iii−iii−i−i11-1-1-1-111−i−iiiii−i−iiiii−i−i−i−iiiii−i−i−i−i-111-1−ii-1-11111-1-1-11−iii−i−i−iii11-1-1−i−iii-1-11111-1-1-11−iii−i
χ301-111-1-11-111-1-111−i−iiiii−i−i-1-11-1111-1-1-1-11−iii−iii−i−i11-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-111-1−ii-1-11111-1-1-11−iii−i−i−iii-1-111ii−i−i11-1-1-1-1111-1i−i−ii
χ311-111-1-11-111-1-111−i−iiiii−i−i-1-11-1111-1-1-1-11−iii−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11i−i11-1-1-1-111-11−iii−iii−i−i-1-111−i−iii-1-11111-1-11-1i−i−ii
χ321-111-1-11-111-1-111−i−iiiii−i−i-1-11-1111-1-1-1-11−iii−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-11i−i11-1-1-1-111-11−iii−iii−i−i11-1-1ii−i−i11-1-1-1-111-11−iii−i
χ33222222222-2222222222222-2-2-22222222-2-2-2-2-2-20000-2-2-2-2222222222222000000000000000000000000000000-2-2-2-2-2-200000000000000000000000000
χ34222222222-22222-2-2-2-2-2-2-2-2-2-2-22222222-2-222220000-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-2222200000000000000000000000000
χ35222222222-2-2-2-2-22222-2-2-2-2-2-2-2222222222-2-2220000-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000022-2-22200000000000000000000000000
χ36222222222-2-2-2-2-2-2-2-2-22222-2-2-222222222222-2-20000-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000002222-2-200000000000000000000000000
χ3722222222-12222222222222222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ3822222222-12222222222222222-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000-2-2-2-2-2-211111111-1-1-1-1-1-111110000000000000000000000
χ3922222222-122222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000-2-2-2-22211111111-1-11111-1-1-1-10000000000000000000000
χ4022222222-122222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000
χ4122222222-12-2-2-2-22222-2-2-2-2222-1-1-1-1-1-1-1-2-222-2-22222-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-10000000022-2-2-2-2-1-1-1-1111111-1-11111110000000000000000000000
χ4222222222-12-2-2-2-22222-2-2-2-2222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-1-1-1-11111-1-1-1-111111111111100000000-2-222221111-1-1-1-111-1-111-1-1-1-10000000000000000000000
χ4322222222-12-2-2-2-2-2-2-2-22222222-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-100000000-2-222-2-21111-1-1-1-11111-1-111110000000000000000000000
χ4422222222-12-2-2-2-2-2-2-2-22222222-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-1111111110000000022-2-222-1-1-1-111111111-1-1-1-1-1-10000000000000000000000
χ4522222222-1-2222222222222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3−i3i3−i3i3111111−i3i3−i3i30000000000000000000000
χ4622222222-1-2222222222222-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-200001111-1-1-1-1-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3i3−i3i3−i3111111i3−i3i3−i30000000000000000000000
χ4722222222-1-22222-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222200001111-1-1-1-111111111−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3i3−i3i3−i311-1-1-1-1−i3i3−i3i30000000000000000000000
χ4822222222-1-22222-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2222200001111-1-1-1-111111111i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3−i3i3−i3i311-1-1-1-1i3−i3i3−i30000000000000000000000
χ4922222222-1-2-2-2-2-22222-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222000011111111-1-1-1-11111−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3i3−i3i3−i3-1-111-1-1i3−i3i3−i30000000000000000000000
χ5022222222-1-2-2-2-2-22222-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-222000011111111-1-1-1-11111i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3−i3i3−i3i3-1-111-1-1−i3i3−i3i30000000000000000000000
χ5122222222-1-2-2-2-2-2-2-2-2-22222-2-2-2-1-1-1-1-1-1-12222-2-20000111111111111-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3−i3i3−i3i3-1-1-1-111i3−i3i3−i30000000000000000000000
χ5222222222-1-2-2-2-2-2-2-2-2-22222-2-2-2-1-1-1-1-1-1-12222-2-20000111111111111-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3i3−i3i3−i3-1-1-1-111−i3i3−i3i30000000000000000000000
χ53222-22-2-2-22-20000000000002-2222-2-22-2-20000002i−2i2i−2i2-22-20000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000002-22-2000000000000000000
χ54222-22-2-2-22-20000000000002-2222-2-22-2-20000002i−2i2i−2i2-22-20000000000002i−2i2i−2i2i−2i2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22-22000000000000000000
χ55222-22-2-2-22-20000000000002-2222-2-22-2-2000000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i−2i2i−2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000-22-22000000000000000000
χ56222-22-2-2-22-20000000000002-2222-2-22-2-2000000−2i2i−2i2i2-22-2000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-22-2000000000000000000
χ5722-2-2-222-2202-22-22i−2i2i−2i2i−2i2i−2i0002-22-2-22-2000000000000002-22-22i−2i2i−2i2i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i20000000000000000000000000000−i2i2−i2i22−22−22−22−2000000
χ5822-2-2-222-2202-22-22i−2i2i−2i2i−2i2i−2i0002-22-2-22-2000000000000002-22-22i−2i2i−2i2i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i20000000000000000000000000000i2−i2i2−i2−22−22−22−22000000
χ5922-2-2-222-2202-22-2−2i2i−2i2i−2i2i−2i2i0002-22-2-22-2000000000000002-22-2−2i2i−2i2i−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i20000000000000000000000000000−i2i2−i2i2−22−22−22−22000000
χ6022-2-2-222-2202-22-2−2i2i−2i2i−2i2i−2i2i0002-22-2-22-2000000000000002-22-2−2i2i−2i2i−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i20000000000000000000000000000i2−i2i2−i22−22−22−22−2000000
χ6122-2-2-222-220-22-222i−2i2i−2i−2i2i−2i2i0002-22-2-22-200000000000000-22-222i−2i2i−2i−2i2i−2i2i00000000−i2i2−i2i2−i2i2−i2i20000000000000000000000000000i2−i2i2−i22−22−2−22−22000000
χ6222-2-2-222-220-22-222i−2i2i−2i−2i2i−2i2i0002-22-2-22-200000000000000-22-222i−2i2i−2i−2i2i−2i2i00000000i2−i2i2−i2i2−i2i2−i20000000000000000000000000000−i2i2−i2i2−22−222−22−2000000
χ6322-2-2-222-220-22-22−2i2i−2i2i2i−2i2i−2i0002-22-2-22-200000000000000-22-22−2i2i−2i2i2i−2i2i−2i00000000−i2i2−i2i2−i2i2−i2i20000000000000000000000000000i2−i2i2−i2−22−222−22−2000000
χ6422-2-2-222-220-22-22−2i2i−2i2i2i−2i2i−2i0002-22-2-22-200000000000000-22-22−2i2i−2i2i2i−2i2i−2i00000000i2−i2i2−i2i2−i2i2−i20000000000000000000000000000−i2i2−i2i22−22−2−22−22000000
χ652-222-2-22-22-222-2-22i2i−2i−2i2i2i−2i−2i22-2-2222-2-2-2-22−2i2i−2i2i0000-2-22222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000-22−2i2i−2i2i00000000000000000000000000
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χ672-222-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i22-2-2222-2-2-22-2−2i2i2i−2i0000-2-222-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000002-2−2i2i2i−2i00000000000000000000000000
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Here i is the imaginary unit (i² = −1).