Finite Group Databasebeta

← Group #11922758

Character table — Group #11922758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112444668812121212121212161616242424242424323211244466881212121212121216161624242424242432321124446688121212121212121616162424242424243232
order1242282436244488812242424488866361266246123661212122424241224246121224242466361266246123661212122424241224246121224242466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-111-11-1-1111-1-1-1-1-1-1111111111111-111-11-1-1111-1-1-1-1-1-1111111111111-111-11-1-1111-1-1-1-1-1-111
χ31111-1-1111111-11-1111-1-11-1-1-11-11-11111-1-1111111-11-1111-1-11-1-1-11-11-11111-1-1111111-11-1111-1-11-1-1-11-11-1
χ41111-1-11111-11-1-1-1-1-11-1-1-1111-111-11111-1-11111-11-1-1-1-1-11-1-1-1111-111-11111-1-11111-11-1-1-1-1-11-1-1-1111-111-1
χ5111-11-111111-111-1111-1-1-11-1-1-11-11111-11-111111-111-1111-1-1-11-1-1-11-11111-11-111111-111-1111-1-1-11-1-1-11-11
χ6111-11-11111-1-11-1-1-1-11-1-11-1111-1-11111-11-11111-1-11-1-1-1-11-1-11-1111-1-11111-11-11111-1-11-1-1-1-11-1-11-1111-1-11
χ7111-1-1111111-1-11111111-1-111-1-1-1-1111-1-1111111-1-11111111-1-111-1-1-1-1111-1-1111111-1-11111111-1-111-1-1-1-1
χ8111-1-111111-1-1-1-11-1-111111-1-111-1-1111-1-111111-1-1-1-11-1-111111-1-111-1-1111-1-111111-1-1-1-11-1-111111-1-111-1-1
χ922222222-1-10220200-1-1-1000000-1-122222222-1-10220200-1-1-1000000-1-122222222-1-10220200-1-1-1000000-1-1
χ102222-2-222-1-102-20-200-111000000-112222-2-222-1-102-20-200-111000000-112222-2-222-1-102-20-200-111000000-11
χ11222-22-222-1-10-220-200-1110000001-1222-22-222-1-10-220-200-1110000001-1222-22-222-1-10-220-200-1110000001-1
χ12222-2-2222-1-10-2-20200-1-1-100000011222-2-2222-1-10-2-20200-1-1-100000011222-2-2222-1-10-2-20200-1-1-100000011
χ1322-2000-2222200-202-2-2000000000022-2000-2222200-202-2-2000000000022-2000-2222200-202-2-20000000000
χ1422-2000-2222-20020-22-2000000000022-2000-2222-20020-22-2000000000022-2000-2222-20020-22-20000000000
χ15333333-1-1001-1-11-1-1-100011-11-1-100333333-1-1001-1-11-1-1-100011-11-1-100333333-1-1001-1-11-1-1-100011-11-1-100
χ16333333-1-100-1-1-1-1-111000-1-11-11100333333-1-100-1-1-1-1-111000-1-11-11100333333-1-100-1-1-1-1-111000-1-11-11100
χ173333-3-3-1-1001-1111-1-10001-11-1-11003333-3-3-1-1001-1111-1-10001-11-1-11003333-3-3-1-1001-1111-1-10001-11-1-1100
χ183333-3-3-1-100-1-11-1111000-11-111-1003333-3-3-1-100-1-11-1111000-11-111-1003333-3-3-1-100-1-11-1111000-11-111-100
χ19333-33-3-1-10011-111-1-1000-111-11-100333-33-3-1-10011-111-1-1000-111-11-100333-33-3-1-10011-111-1-1000-111-11-100
χ20333-33-3-1-100-11-1-11110001-1-11-1100333-33-3-1-100-11-1-11110001-1-11-1100333-33-3-1-100-11-1-11110001-1-11-1100
χ21333-3-33-1-1001111-1-1-1000-1-1-111100333-3-33-1-1001111-1-1-1000-1-1-111100333-3-33-1-1001111-1-1-1000-1-1-111100
χ22333-3-33-1-100-111-1-111000111-1-1-100333-3-33-1-100-111-1-111000111-1-1-100333-3-33-1-100-111-1-111000111-1-1-100
χ2344-4000-44-2-200000002000000000044-4000-44-2-200000002000000000044-4000-44-2-2000000020000000000
χ2466-60002-200200-20-220000000000066-60002-200200-20-220000000000066-60002-200200-20-2200000000000
χ2566-60002-200-200202-20000000000066-60002-200-200202-20000000000066-60002-200-200202-200000000000
χ268-80000002-200000000i6−i6000000008-80000002-200000000i6−i6000000008-80000002-200000000i6−i600000000
χ278-80000002-200000000−i6i6000000008-80000002-200000000−i6i6000000008-80000002-200000000−i6i600000000
χ288-8000000-440000000000000000008-8000000-440000000000000000008-8000000-44000000000000000000
χ291111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ301111111111-111-11-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ311111-1-1111111-11-1111-1-11-1-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ321111-1-11111-11-1-1-1-1-11-1-1-1111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ33111-11-111111-111-1111-1-1-11-1-1-11-11−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ34111-11-11111-1-11-1-1-1-11-1-11-1111-1-11−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ35111-1-1111111-1-11111111-1-111-1-1-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ36111-1-111111-1-1-1-11-1-111111-1-111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3722222222-1-10220200-1-1-1000000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i320−1+i3−1+i30−1+i3001−i321−i321−i320000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i320−1−i3−1−i30−1−i3001+i321+i321+i320000001+i321+i32
χ382222-2-222-1-102-20-200-111000000-11−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i320−1+i31−i301−i3001−i32−1+i32−1+i320000001−i32−1+i32−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i320−1−i31+i301+i3001+i32−1−i32−1−i320000001+i32−1−i32
χ39222-22-222-1-10-220-200-1110000001-1−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i321−i3201−i3−1+i301−i3001−i32−1+i32−1+i32000000−1+i321−i32−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i321+i3201+i3−1−i301+i3001+i32−1−i32−1−i32000000−1−i321+i32
χ40222-2-2222-1-10-2-20200-1-1-100000011−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i3201−i31−i30−1+i3001−i321−i321−i32000000−1+i32−1+i32−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i3201+i31+i30−1−i3001+i321+i321+i32000000−1−i32−1−i32
χ4122-2000-2222200-202-2-20000000000−1+i3−1+i31−i30001−i3−1+i3−1+i3−1+i3−1+i3001−i30−1+i31−i31−i30000000000−1−i3−1−i31+i30001+i3−1−i3−1−i3−1−i3−1−i3001+i30−1−i31+i31+i30000000000
χ4222-2000-2222-20020-22-20000000000−1+i3−1+i31−i30001−i3−1+i3−1+i3−1+i31−i300−1+i301−i3−1+i31−i30000000000−1−i3−1−i31+i30001+i3−1−i3−1−i3−1−i31+i300−1−i301+i3−1−i31+i30000000000
χ43333333-1-1001-1-11-1-1-100011-11-1-100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200−1+i321−i321−i32−1+i321−i321−i321−i32000−1+i32−1+i321−i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200−1−i321+i321+i32−1−i321+i321+i321+i32000−1−i32−1−i321+i32−1−i321+i321+i3200
χ44333333-1-100-1-1-1-1-111000-1-11-11100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i321−i321−i32−1+i32−1+i320001−i321−i32−1+i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i321+i321+i32−1−i32−1−i320001+i321+i32−1−i321+i32−1−i32−1−i3200
χ453333-3-3-1-1001-1111-1-10001-11-1-1100−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200−1+i321−i32−1+i32−1+i32−1+i321−i321−i32000−1+i321−i32−1+i321−i321−i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200−1−i321+i32−1−i32−1−i32−1−i321+i321+i32000−1−i321+i32−1−i321+i321+i32−1−i3200
χ463333-3-3-1-100-1-11-1111000-11-111-100−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i32001−i321−i32−1+i321−i32−1+i32−1+i32−1+i320001−i32−1+i321−i32−1+i32−1+i321−i3200−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i32001+i321+i32−1−i321+i32−1−i32−1−i32−1−i320001+i32−1−i321+i32−1−i32−1−i321+i3200
χ47333-33-3-1-10011-111-1-1000-111-11-100−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i321−i321−i3200−1+i32−1+i321−i32−1+i32−1+i321−i321−i320001−i32−1+i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i321+i321+i3200−1−i32−1−i321+i32−1−i32−1−i321+i321+i320001+i32−1−i32−1−i321+i32−1−i321+i3200
χ48333-33-3-1-100-11-1-11110001-1-11-1100−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i321−i321−i32001−i32−1+i321−i321−i32−1+i32−1+i32−1+i32000−1+i321−i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i321+i321+i32001+i32−1−i321+i321+i32−1−i32−1−i32−1−i32000−1−i321+i321+i32−1−i321+i32−1−i3200
χ49333-3-33-1-1001111-1-1-1000-1-1-111100−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i3200−1+i32−1+i32−1+i32−1+i321−i321−i321−i320001−i321−i321−i32−1+i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i3200−1−i32−1−i32−1−i32−1−i321+i321+i321+i320001+i321+i321+i32−1−i32−1−i32−1−i3200
χ50333-3-33-1-100-111-1-111000111-1-1-100−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i32001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000−1+i32−1+i32−1+i321−i321−i321−i3200−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i32001+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000−1−i32−1−i32−1−i321+i321+i321+i3200
χ5144-4000-44-2-2000000020000000000−2+2i3−2+2i32−2i30002−2i3−2+2i31−i31−i30000000−1+i30000000000−2−2i3−2−2i32+2i30002+2i3−2−2i31+i31+i30000000−1−i30000000000
χ5266-60002-200200-20-2200000000000−3+3i3−3+3i33−3i3000−1+i31−i300−1+i3001−i301−i3−1+i300000000000−3−3i3−3−3i33+3i3000−1−i31+i300−1−i3001+i301+i3−1−i300000000000
χ5366-60002-200-200202-200000000000−3+3i3−3+3i33−3i3000−1+i31−i3001−i300−1+i30−1+i31−i300000000000−3−3i3−3−3i33+3i3000−1−i31+i3001+i300−1−i30−1−i31+i300000000000
χ548-80000002-200000000i6−i600000000−4+4i34−4i3000000−1+i31−i300000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ2300000000−4−4i34+4i3000000−1−i31+i300000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300000000
χ558-80000002-200000000−i6i600000000−4+4i34−4i3000000−1+i31−i300000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300000000−4−4i34+4i3000000−1−i31+i3000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ2300000000
χ568-8000000-44000000000000000000−4+4i34−4i30000002−2i3−2+2i3000000000000000000−4−4i34+4i30000002+2i3−2−2i3000000000000000000
χ571111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ581111111111-111-11-1-1111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ591111-1-1111111-11-1111-1-11-1-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32
χ601111-1-11111-11-1-1-1-1-11-1-1-1111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ61111-11-111111-111-1111-1-1-11-1-1-11-11−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ62111-11-11111-1-11-1-1-1-11-1-11-1111-1-11−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ63111-1-1111111-1-11111111-1-111-1-1-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ64111-1-111111-1-1-1-11-1-111111-1-111-1-1−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ6522222222-1-10220200-1-1-1000000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i320−1−i3−1−i30−1−i3001+i321+i321+i320000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i320−1+i3−1+i30−1+i3001−i321−i321−i320000001−i321−i32
χ662222-2-222-1-102-20-200-111000000-11−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i320−1−i31+i301+i3001+i32−1−i32−1−i320000001+i32−1−i32−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i320−1+i31−i301−i3001−i32−1+i32−1+i320000001−i32−1+i32
χ67222-22-222-1-10-220-200-1110000001-1−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i321+i3201+i3−1−i301+i3001+i32−1−i32−1−i32000000−1−i321+i32−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i321−i3201−i3−1+i301−i3001−i32−1+i32−1+i32000000−1+i321−i32
χ68222-2-2222-1-10-2-20200-1-1-100000011−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i321+i3201+i31+i30−1−i3001+i321+i321+i32000000−1−i32−1−i32−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i321−i3201−i31−i30−1+i3001−i321−i321−i32000000−1+i32−1+i32
χ6922-2000-2222200-202-2-20000000000−1−i3−1−i31+i30001+i3−1−i3−1−i3−1−i3−1−i3001+i30−1−i31+i31+i30000000000−1+i3−1+i31−i30001−i3−1+i3−1+i3−1+i3−1+i3001−i30−1+i31−i31−i30000000000
χ7022-2000-2222-20020-22-20000000000−1−i3−1−i31+i30001+i3−1−i3−1−i3−1−i31+i300−1−i301+i3−1−i31+i30000000000−1+i3−1+i31−i30001−i3−1+i3−1+i3−1+i31−i300−1+i301−i3−1+i31−i30000000000
χ71333333-1-1001-1-11-1-1-100011-11-1-100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i3200−1−i321+i321+i32−1−i321+i321+i321+i32000−1−i32−1−i321+i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i3200−1+i321−i321−i32−1+i321−i321−i321−i32000−1+i32−1+i321−i32−1+i321−i321−i3200
χ72333333-1-100-1-1-1-1-111000-1-11-11100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32001+i321+i321+i321+i321+i32−1−i32−1−i320001+i321+i32−1−i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32001−i321−i321−i321−i321−i32−1+i32−1+i320001−i321−i32−1+i321−i32−1+i32−1+i3200
χ733333-3-3-1-1001-1111-1-10001-11-1-1100−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200−1−i321+i32−1−i32−1−i32−1−i321+i321+i32000−1−i321+i32−1−i321+i321+i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200−1+i321−i32−1+i32−1+i32−1+i321−i321−i32000−1+i321−i32−1+i321−i321−i32−1+i3200
χ743333-3-3-1-100-1-11-1111000-11-111-100−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i32001+i321+i32−1−i321+i32−1−i32−1−i32−1−i320001+i32−1−i321+i32−1−i32−1−i321+i3200−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i32001−i321−i32−1+i321−i32−1+i32−1+i32−1+i320001−i32−1+i321−i32−1+i32−1+i321−i3200
χ75333-33-3-1-10011-111-1-1000-111-11-100−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i321+i321+i3200−1−i32−1−i321+i32−1−i32−1−i321+i321+i320001+i32−1−i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i321−i321−i3200−1+i32−1+i321−i32−1+i32−1+i321−i321−i320001−i32−1+i32−1+i321−i32−1+i321−i3200
χ76333-33-3-1-100-11-1-11110001-1-11-1100−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i321+i321+i32001+i32−1−i321+i321+i32−1−i32−1−i32−1−i32000−1−i321+i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i321−i321−i32001−i32−1+i321−i321−i32−1+i32−1+i32−1+i32000−1+i321−i321−i32−1+i321−i32−1+i3200
χ77333-3-33-1-1001111-1-1-1000-1-1-111100−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i3200−1−i32−1−i32−1−i32−1−i321+i321+i321+i320001+i321+i321+i32−1−i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i3200−1+i32−1+i32−1+i32−1+i321−i321−i321−i320001−i321−i321−i32−1+i32−1+i32−1+i3200
χ78333-3-33-1-100-111-1-111000111-1-1-100−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i321+i32001+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000−1−i32−1−i32−1−i321+i321+i321+i3200−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i321−i32001−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000−1+i32−1+i32−1+i321−i321−i321−i3200
χ7944-4000-44-2-2000000020000000000−2−2i3−2−2i32+2i30002+2i3−2−2i31+i31+i30000000−1−i30000000000−2+2i3−2+2i32−2i30002−2i3−2+2i31−i31−i30000000−1+i30000000000
χ8066-60002-200200-20-2200000000000−3−3i3−3−3i33+3i3000−1−i31+i300−1−i3001+i301+i3−1−i300000000000−3+3i3−3+3i33−3i3000−1+i31−i300−1+i3001−i301−i3−1+i300000000000
χ8166-60002-200-200202-200000000000−3−3i3−3−3i33+3i3000−1−i31+i3001+i300−1−i30−1−i31+i300000000000−3+3i3−3+3i33−3i3000−1+i31−i3001−i300−1+i30−1+i31−i300000000000
χ828-80000002-200000000i6−i600000000−4−4i34+4i3000000−1−i31+i300000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ2300000000−4+4i34−4i3000000−1+i31−i300000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ2300000000
χ838-80000002-200000000−i6i600000000−4−4i34+4i3000000−1−i31+i3000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ2300000000−4+4i34−4i3000000−1+i31−i300000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ2300000000
χ848-8000000-44000000000000000000−4−4i34+4i30000002+2i3−2−2i3000000000000000000−4+4i34−4i30000002−2i3−2+2i3000000000000000000

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