Finite Group Databasebeta

← Group #70933

Character table — Group #70933

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111112222222222222222222222224444444444444444444444444444444444121212121212121224242424
order122244443444466688881212121224242424242424244444888888121212121212121212121212242424242424242424242424888888882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1111-1-1111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1i−iii−i−i11-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ101111-1-1-1-1111-1-1111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1i−iii−i−i11-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-1-111−i−iii-11−ii
χ111111-1-1-1-1111-1-1111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111i−i−i−iii11-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ121111-1-1-1-1111-1-1111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111i−i−i−iii11-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i
χ131111-1-1-1-1111-1-1111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−ii−i−iii11-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ141111-1-1-1-1111-1-1111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−ii−i−iii11-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-1-111ii−i−i-11i−i
χ151111-1-1-1-1111-1-1111−i−iii-1-1-1-1−i−i−i−iiiii-1-111−iiii−i−i11-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i11-1-1−i−iii-11i−i
χ161111-1-1-1-1111-1-1111−i−iii-1-1-1-1−i−i−i−iiiii-1-111−iiii−i−i11-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i-1-111ii−i−i1-1−ii
χ17222222222-2-2-2-222222222222222222220000-2-20000-2-2-2-200000000-2-2-2-200000000000000000000
χ18222222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-20000220000-2-2-2-200000000222200000000000000000000
χ1922222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111000000000000
χ2122222222-12222-1-1-1-2-2-2-2-1-1-1-1111111112222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000
χ2222222222-12222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000
χ2322222222-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i3000000000000
χ2422222222-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i3000000000000
χ2522222222-1-2-2-2-2-1-1-1-2-2-2-2-1-1-1-11111111100002200001111−i3−i3i3i3−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000
χ2622222222-1-2-2-2-2-1-1-1-2-2-2-2-1-1-1-11111111100002200001111i3i3−i3−i3i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000
χ272222-2-2-2-22-2-2222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i0000−2i2i0000-2-22200000000−2i−2i2i2i00000000000000000000
χ282222-2-2-2-22-2-222222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i00002i−2i0000-2-222000000002i2i−2i−2i00000000000000000000
χ292222-2-2-2-2-122-2-2-1-1-12i2i−2i−2i1111−i−i−i−iiiii22-2-22i−2i2i2i−2i−2i-1-111-1-1-1-11111−i−iii−i−i−i−iiiii000000000000
χ302222-2-2-2-2-122-2-2-1-1-12i2i−2i−2i1111−i−i−i−iiiii-2-2222i−2i−2i−2i2i2i-1-1111111-1-1-1-1−i−iiiiiii−i−i−i−i000000000000
χ312222-2-2-2-2-122-2-2-1-1-1−2i−2i2i2i1111iiii−i−i−i−i22-2-2−2i2i−2i−2i2i2i-1-111-1-1-1-11111ii−i−iiiii−i−i−i−i000000000000
χ322222-2-2-2-2-122-2-2-1-1-1−2i−2i2i2i1111iiii−i−i−i−i-2-222−2i2i2i2i−2i−2i-1-1111111-1-1-1-1ii−i−i−i−i−i−iiiii000000000000
χ332222-2-2-2-2-1-2-222-1-1-12i2i−2i−2i1111−i−i−i−iiiii0000−2i2i000011-1-1−i3−i3i3i3i3i3−i3−i3ii−i−i33−3−3−3−333000000000000
χ342222-2-2-2-2-1-2-222-1-1-12i2i−2i−2i1111−i−i−i−iiiii0000−2i2i000011-1-1i3i3−i3−i3−i3−i3i3i3ii−i−i−3−33333−3−3000000000000
χ352222-2-2-2-2-1-2-222-1-1-1−2i−2i2i2i1111iiii−i−i−i−i00002i−2i000011-1-1−i3−i3i3i3i3i3−i3−i3−i−iii−3−33333−3−3000000000000
χ362222-2-2-2-2-1-2-222-1-1-1−2i−2i2i2i1111iiii−i−i−i−i00002i−2i000011-1-1i3i3−i3−i3−i3−i3i3i3−i−iii33−3−3−3−333000000000000
χ3722-2-22i−2i2i−2i22-22i−2i-22-200002i−2i2i−2i000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000
χ3822-2-22i−2i2i−2i22-22i−2i-22-200002i−2i2i−2i00000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000
χ3922-2-22i−2i2i−2i2-22−2i2i-22-200002i−2i2i−2i000000002-22i−2i000000-22−2i2i2-22-22i−2i2i−2i000000000000000000000000
χ4022-2-22i−2i2i−2i2-22−2i2i-22-200002i−2i2i−2i00000000-22−2i2i000000-22−2i2i-22-22−2i2i−2i2i000000000000000000000000
χ4122-2-22i−2i2i−2i-12-22i−2i1-110000−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−ii−i3i3i3−i33−3−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000000000
χ4222-2-22i−2i2i−2i-12-22i−2i1-110000−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−iii3−i3−i3i3−333−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000000000000
χ4322-2-22i−2i2i−2i-12-22i−2i1-110000−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−iii3−i3−i3i3−333−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000000000
χ4422-2-22i−2i2i−2i-12-22i−2i1-110000−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−ii−i3i3i3−i33−3−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000000000000
χ4522-2-22i−2i2i−2i-1-22−2i2i1-110000−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132-22i−2i0000001-1i−i-11-11−ii−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000
χ4622-2-22i−2i2i−2i-1-22−2i2i1-110000−ii−ii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-22−2i2i0000001-1i−i1-11-1i−ii−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000000
χ4722-2-22i−2i2i−2i-1-22−2i2i1-110000−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132-22i−2i0000001-1i−i-11-11−ii−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13000000000000
χ4822-2-22i−2i2i−2i-1-22−2i2i1-110000−ii−iiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-22−2i2i0000001-1i−i1-11-1i−ii−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13000000000000
χ4922-2-2−2i2i−2i2i22-2−2i2i-22-20000−2i2i−2i2i00000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000
χ5022-2-2−2i2i−2i2i22-2−2i2i-22-20000−2i2i−2i2i000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000
χ5122-2-2−2i2i−2i2i2-222i−2i-22-20000−2i2i−2i2i000000002-2−2i2i000000-222i−2i2-22-2−2i2i−2i2i000000000000000000000000
χ5222-2-2−2i2i−2i2i2-222i−2i-22-20000−2i2i−2i2i00000000-222i−2i000000-222i−2i-22-222i−2i2i−2i000000000000000000000000
χ5322-2-2−2i2i−2i2i-12-2−2i2i1-110000i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−ii3−i3−i3i33−3−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000000000000
χ5422-2-2−2i2i−2i2i-12-2−2i2i1-110000i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−i−i3i3i3−i3−333−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000000000000
χ5522-2-2−2i2i−2i2i-12-2−2i2i1-110000i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11i−i−i3i3i3−i3−333−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000000000000
χ5622-2-2−2i2i−2i2i-12-2−2i2i1-110000i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11i−ii3−i3−i3i33−3−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000000000000
χ5722-2-2−2i2i−2i2i-1-222i−2i1-110000i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232-2−2i2i0000001-1−ii-11-11i−ii−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23000000000000
χ5822-2-2−2i2i−2i2i-1-222i−2i1-110000i−ii−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-222i−2i0000001-1−ii1-11-1−ii−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000000
χ5922-2-2−2i2i−2i2i-1-222i−2i1-110000i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232-2−2i2i0000001-1−ii-11-11i−ii−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23000000000000
χ6022-2-2−2i2i−2i2i-1-222i−2i1-110000i−ii−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-222i−2i0000001-1−ii1-11-1−ii−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23000000000000
χ612-2-2222-2-2200002-2-22i−2i2i−2i-2-2222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−i2i2−i2i22−22−20000
χ622-2-2222-2-2200002-2-22i−2i2i−2i-2-2222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000i2−i2i2−i2−22−220000
χ632-2-2222-2-2200002-2-2−2i2i−2i2i-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000−i2i2−i2i2−22−220000
χ642-2-2222-2-2200002-2-2−2i2i−2i2i-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000i2−i2i2−i22−22−20000
χ652-2-22-2-222200002-2-22-2-2222-2-22-22-2-22-220000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ662-2-22-2-222200002-2-22-2-2222-2-22-22-2-22-220000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ672-2-22-2-222200002-2-2-222-222-2-2-22-222-22-20000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ682-2-22-2-222200002-2-2-222-222-2-2-22-222-22-20000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ694-44-44i−4i−4i4i40000-4-440000−4i4i4i−4i000000000000000000000000000000000000000000000000000000
χ704-44-44i−4i−4i4i-2000022-200002i−2i−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000000000000000
χ714-44-44i−4i−4i4i-2000022-200002i−2i−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000000000000000000000000000000000000000000000
χ724-44-4−4i4i4i−4i40000-4-4400004i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ734-44-4−4i4i4i−4i-2000022-20000−2i2i2i−2i−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000000000000000000000
χ744-44-4−4i4i4i−4i-2000022-20000−2i2i2i−2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000000000000000000000
χ754-4-4444-4-4-20000-2224i−4i4i−4i22-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000
χ764-4-4444-4-4-20000-222−4i4i−4i4i22-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000
χ774-4-44-4-444-20000-2224-4-44-2-222-22-222-22-20000000000000000000000000000000000000000000000
χ784-4-44-4-444-20000-222-444-4-2-2222-22-2-22-220000000000000000000000000000000000000000000000

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