Finite Group Databasebeta

← Group #13166216

Character table — Group #13166216

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222288888888888888888888888899999999999918181818181818181818181818181818181818181818181818181818181854545454545454545454545454545454
order12223446661212121233366666666612121212121212121212121244448888888844888812121212121212122424242424242424242424242424242416161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13
χ611111111111111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13
χ711111111111111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23
χ811111111111111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23
χ911111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1211111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1311111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ1411111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ1511111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ1611111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ171-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-111-1-111-1-1i−ii−ii−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ181-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-111-1-111-1-1i−ii−ii−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii-11−ii
χ191-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1-1-111-1-111i−i−ii−iiii−i−i11-1-1-1-111−i−iii-1-111−i−iiii−i-11i−i-11−ii1-1−ii1-1
χ201-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i11-1-1-1-111-1-111i−i−ii−iiii−i−i11-1-1-1-111−i−iii-1-111−i−iii−ii1-1−ii1-1i−i-11i−i-11
χ211-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111ii−i−i−i−iii−ii-111-1−i−iii-1-111ii−i−i-1-111−i−iii11-1-1ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ221-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111ii−i−i−i−iii−ii-111-1−i−iii-1-111ii−i−i-1-111−i−iii11-1-1−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ231-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111−i−iiiii−i−i−ii1-1-11−i−iii-1-111−i−iii11-1-1ii−i−i-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ241-11-11i−i-11-1ii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-111−i−iiiii−i−i−ii1-1-11−i−iii-1-111−i−iii11-1-1ii−i−i-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ251-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-111-1-111-1-1−ii−ii−ii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii1-1−ii
χ261-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-111-1-111-1-1−ii−ii−ii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i-11i−i
χ271-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1-1-111-1-111−iii−ii−i−i−iii11-1-1-1-111ii−i−i-1-111ii−i−ii−i1-1i−i1-1−ii-11−ii-11
χ281-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii11-1-1-1-111-1-111−iii−ii−i−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i−ii-11−ii-11i−i1-1i−i1-1
χ291-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111ii−i−i−i−iiii−i1-1-11ii−i−i-1-111ii−i−i11-1-1−i−iii-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ301-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111ii−i−i−i−iiii−i1-1-11ii−i−i-1-111ii−i−i11-1-1−i−iii-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ311-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111−i−iiiii−i−ii−i-111-1ii−i−i-1-111−i−iii-1-111ii−i−i11-1-1−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ321-11-11−ii-11-1−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-111−i−iiiii−i−ii−i-111-1ii−i−i-1-111−i−iii-1-111ii−i−i11-1-1ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ332222-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-12222-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ352222-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-1-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22i2i−2i−2i11111111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ362222-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1-122-1-1-1-122-1-1-1-1-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2−2i−2i2i2i11111111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ372222-1-2-2-1-1-111112-1-12-1-12-1-12-1-1-2-21111-2-21111222222222222-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000
χ382222-1-2-2-1-1-111112-1-12-1-12-1-12-1-1-2-21111-2-211112222-2-2-2-2-2-2-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000
χ392222-1-2-2-1-1-111112-1-12-1-12-1-12-1-1-2-21111-2-21111-2-2-2-22i2i2i2i−2i−2i−2i−2i22−2i−2i2i2i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ402222-1-2-2-1-1-111112-1-12-1-12-1-12-1-1-2-21111-2-21111-2-2-2-2−2i−2i−2i−2i2i2i2i2i222i2i−2i−2i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ4122-2-22002-2-20000222-2-2-2-2-2-22220000000000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
χ4222-2-22002-2-20000222-2-2-2-2-2-22220000000000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000
χ4322-2-22002-2-20000222-2-2-2-2-2-2222000000000000−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ4422-2-22002-2-20000222-2-2-2-2-2-2222000000000000−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ4522-2-2-100-111−i3i3−i3i32-1-1-211-2112-1-100−i3−i3i3i300−i3−i3i3i32i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000003−33−3−ii−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ4622-2-2-100-111−i3i3−i3i32-1-1-211-2112-1-100−i3−i3i3i300−i3−i3i3i32i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000003−33−3−ii−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ4722-2-2-100-111−i3i3−i3i32-1-1-211-2112-1-100−i3−i3i3i300−i3−i3i3i3−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000−33−33i−ii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ4822-2-2-100-111−i3i3−i3i32-1-1-211-2112-1-100−i3−i3i3i300−i3−i3i3i3−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000−33−33i−ii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ4922-2-2-100-111i3−i3i3−i32-1-1-211-2112-1-100i3i3−i3−i300i3i3−i3−i32i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000−33−33−ii−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ5022-2-2-100-111i3−i3i3−i32-1-1-211-2112-1-100i3i3−i3−i300i3i3−i3−i32i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000−33−33−ii−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ5122-2-2-100-111i3−i3i3−i32-1-1-211-2112-1-100i3i3−i3−i300i3i3−i3−i3−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000003−33−3i−ii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ5222-2-2-100-111i3−i3i3−i32-1-1-211-2112-1-100i3i3−i3−i300i3i3−i3−i3−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000003−33−3i−ii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ532-22-2-12i−2i1-11−i−iii2-1-12-1-1-211-2112i2i−i−i−i−i−2i−2iiiii22-2-222-2-222-2-22i−2i2i−2i2i−2i−i−iii-1-111-1-111−i−iii-1-111−i−iii0000000000000000
χ542-22-2-12i−2i1-11−i−iii2-1-12-1-1-211-2112i2i−i−i−i−i−2i−2iiiii22-2-2-2-222-2-2222i−2i−2i2i−2i2i−i−iii-1-11111-1-1ii−i−i11-1-1ii−i−i0000000000000000
χ552-22-2-12i−2i1-11−i−iii2-1-12-1-1-211-2112i2i−i−i−i−i−2i−2iiiii-2-2222i2i−2i−2i−2i−2i2i2i−2i2i-222-2ii−i−i11-1-1−i−iii11-1-1ii−i−i-1-1110000000000000000
χ562-22-2-12i−2i1-11−i−iii2-1-12-1-1-211-2112i2i−i−i−i−i−2i−2iiiii-2-222−2i−2i2i2i2i2i−2i−2i−2i2i2-2-22ii−i−i11-1-1ii−i−i-1-111−i−iii11-1-10000000000000000
χ572-22-2-1−2i2i1-11ii−i−i2-1-12-1-1-211-211−2i−2iiiii2i2i−i−i−i−i22-2-222-2-222-2-2−2i2i−2i2i−2i2iii−i−i-1-111-1-111ii−i−i-1-111ii−i−i0000000000000000
χ582-22-2-1−2i2i1-11ii−i−i2-1-12-1-1-211-211−2i−2iiiii2i2i−i−i−i−i22-2-2-2-222-2-222−2i2i2i−2i2i−2iii−i−i-1-11111-1-1−i−iii11-1-1−i−iii0000000000000000
χ592-22-2-1−2i2i1-11ii−i−i2-1-12-1-1-211-211−2i−2iiiii2i2i−i−i−i−i-2-2222i2i−2i−2i−2i−2i2i2i2i−2i2-2-22−i−iii11-1-1−i−iii-1-111ii−i−i11-1-10000000000000000
χ602-22-2-1−2i2i1-11ii−i−i2-1-12-1-1-211-211−2i−2iiiii2i2i−i−i−i−i-2-222−2i−2i2i2i2i2i−2i−2i2i−2i-222-2−i−iii11-1-1ii−i−i11-1-1−i−iii-1-1110000000000000000
χ612-2-22200-2-220000222-2-2-2222-2-2-20000000000002i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000002i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000
χ622-2-22200-2-220000222-2-2-2222-2-2-20000000000002i−2i−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000002i−2i−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
χ632-2-22200-2-220000222-2-2-2222-2-2-2000000000000−2i2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000−2i2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000
χ642-2-22200-2-220000222-2-2-2222-2-2-2000000000000−2i2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000−2i2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000
χ652-2-22-10011-13−3−332-1-1-2112-1-1-2110033−3−300−3−3332i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000i3−i3−i3i3−iii−i−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ662-2-22-10011-13−3−332-1-1-2112-1-1-2110033−3−300−3−3332i−2i−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000i3−i3−i3i3−iii−iζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ672-2-22-10011-13−3−332-1-1-2112-1-1-2110033−3−300−3−333−2i2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000−i3i3i3−i3i−i−iiζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ682-2-22-10011-13−3−332-1-1-2112-1-1-2110033−3−300−3−333−2i2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000−i3i3i3−i3i−i−ii−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ692-2-22-10011-1−333−32-1-1-2112-1-1-21100−3−3330033−3−32i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000−i3i3i3−i3−iii−i−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000000000000000
χ702-2-22-10011-1−333−32-1-1-2112-1-1-21100−3−3330033−3−32i−2i−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000−i3i3i3−i3−iii−iζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000000000000000
χ712-2-22-10011-1−333−32-1-1-2112-1-1-21100−3−3330033−3−3−2i2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000i3−i3−i3i3i−i−iiζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000000000000000
χ722-2-22-10011-1−333−32-1-1-2112-1-1-21100−3−3330033−3−3−2i2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000i3−i3−i3i3i−i−ii−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000000000000000
χ7388888888888888-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ7488888-8-8888-8-8-8-8-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000000000000000000000000000000000000000
χ758888-488-4-4-4-4-4-4-4-11−3i321+3i32-11−3i321+3i32-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i32-1-11−3i321+3i321−3i321+3i320000000000000000000000000000000000000000000000000000000000
χ768888-488-4-4-4-4-4-4-4-11+3i321−3i32-11+3i321−3i32-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i32-1-11+3i321−3i321+3i321−3i320000000000000000000000000000000000000000000000000000000000
χ778888-4-8-8-4-4-44444-11−3i321+3i32-11−3i321+3i32-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i320000000000000000000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-44444-11+3i321−3i32-11+3i321−3i32-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i320000000000000000000000000000000000000000000000000000000000
χ7988-8-88008-8-80000-1-1-1111111-1-1-13-33-3-333-33-3-330000000000000000000000000000000000000000000000000000000000
χ8088-8-88008-8-80000-1-1-1111111-1-1-1-33-333-3-33-333-30000000000000000000000000000000000000000000000000000000000
χ8188-8-8-400-444−4i34i3−4i34i3-11−3i321+3i321−1+3i32−1−3i321−1+3i32−1−3i32-11−3i321+3i323-3−3+i323+i323−i32−3−i323-3−3+i323+i323−i32−3−i320000000000000000000000000000000000000000000000000000000000
χ8288-8-8-400-444−4i34i3−4i34i3-11+3i321−3i321−1−3i32−1+3i321−1−3i32−1+3i32-11+3i321−3i32-333+i32−3+i32−3−i323−i32-333+i32−3+i32−3−i323−i320000000000000000000000000000000000000000000000000000000000
χ8388-8-8-400-4444i3−4i34i3−4i3-11−3i321+3i321−1+3i32−1−3i321−1+3i32−1−3i32-11−3i321+3i32-333−i32−3−i32−3+i323+i32-333−i32−3−i32−3+i323+i320000000000000000000000000000000000000000000000000000000000
χ8488-8-8-400-4444i3−4i34i3−4i3-11+3i321−3i321−1−3i32−1+3i321−1−3i32−1+3i32-11+3i321−3i323-3−3−i323−i323+i32−3+i323-3−3−i323−i323+i32−3+i320000000000000000000000000000000000000000000000000000000000
χ858-88-888i−8i-88-88i8i−8i−8i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiii0000000000000000000000000000000000000000000000000000000000
χ868-88-88−8i8i-88-8−8i−8i8i8i-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i0000000000000000000000000000000000000000000000000000000000
χ878-88-8-48i−8i4-44−4i−4i4i4i-11−3i321+3i32-11−3i321+3i321−1+3i32−1−3i321−1+3i32−1−3i32−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22ii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ220000000000000000000000000000000000000000000000000000000000
χ888-88-8-48i−8i4-44−4i−4i4i4i-11+3i321−3i32-11+3i321−3i321−1−3i32−1+3i321−1−3i32−1+3i32−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ220000000000000000000000000000000000000000000000000000000000
χ898-88-8-4−8i8i4-444i4i−4i−4i-11−3i321+3i32-11−3i321+3i321−1+3i32−1−3i321−1+3i32−1−3i32ii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ220000000000000000000000000000000000000000000000000000000000
χ908-88-8-4−8i8i4-444i4i−4i−4i-11+3i321−3i32-11+3i321−3i321−1−3i32−1+3i321−1−3i32−1+3i32ii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ220000000000000000000000000000000000000000000000000000000000
χ918-8-88800-8-880000-1-1-1111-1-1-11113i−3i3i−3i−3i3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ928-8-88800-8-880000-1-1-1111-1-1-1111−3i3i−3i3i3i−3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ938-8-88-40044-443−43−4343-11−3i321+3i321−1+3i32−1−3i32-11−3i321+3i321−1+3i32−1−3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ220000000000000000000000000000000000000000000000000000000000
χ948-8-88-40044-443−43−4343-11+3i321−3i321−1−3i32−1+3i32-11+3i321−3i321−1−3i32−1+3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ223i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ220000000000000000000000000000000000000000000000000000000000
χ958-8-88-40044-4−434343−43-11−3i321+3i321−1+3i32−1−3i32-11−3i321+3i321−1+3i32−1−3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ220000000000000000000000000000000000000000000000000000000000
χ968-8-88-40044-4−434343−43-11+3i321−3i321−1−3i32−1+3i32-11+3i321−3i321−1−3i32−1+3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ220000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.