Finite Group Databasebeta

← Group #11922757

Character table — Group #11922757

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112224466668812121212121212121616162424242424323211222446666881212121212121212161616242424242432321122244666688121212121212121216161624242424243232
order12488222488362444448812242422888663612242466612242436612121212122424122424662424246636122424666122424366121212121224241224246624242466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-111-111-1-1-11-1111-1-1-1-1-111111111111-1-111-111-1-1-11-1111-1-1-1-1-111111111111-1-111-111-1-1-11-1111-1-1-1-1-111
χ311111-1-11111111-1-111111111-1-11-1-1-1-111111-1-11111111-1-111111111-1-11-1-1-1-111111-1-11111111-1-111111111-1-11-1-1-1-1
χ411111-1-111-1-111-1-1-1-1-1-11-111111-111-1-111111-1-111-1-111-1-1-1-1-1-11-111111-111-1-111111-1-111-1-111-1-1-1-1-1-11-111111-111-1-1
χ5111-1-11-111111111-11-1-1-111-1-11-1-11-11-1111-1-11-111111111-11-1-1-111-1-11-1-11-11-1111-1-11-111111111-11-1-1-111-1-11-1-11-11-1
χ6111-1-11-111-1-111-11-1-111-1-11-1-1-111-111-1111-1-11-111-1-111-11-1-111-1-11-1-1-111-111-1111-1-11-111-1-111-11-1-111-1-11-1-1-111-111-1
χ7111-1-1-111111111-111-1-1-111-1-1-11-1-11-11111-1-1-111111111-111-1-1-111-1-1-11-1-11-11111-1-1-111111111-111-1-1-111-1-1-11-1-11-11
χ8111-1-1-1111-1-111-1-11-111-1-11-1-11-111-1-11111-1-1-1111-1-111-1-11-111-1-11-1-11-111-1-11111-1-1-1111-1-111-1-11-111-1-11-1-11-111-1-11
χ922222222200-1-102200020-1-1-100000-1-122222222200-1-102200020-1-1-100000-1-122222222200-1-102200020-1-1-100000-1-1
χ1022222-2-22200-1-10-2-200020-1-1-1000001122222-2-22200-1-10-2-200020-1-1-1000001122222-2-22200-1-10-2-200020-1-1-10000011
χ11222-2-22-22200-1-102-2000-20-11100000-11222-2-22-22200-1-102-2000-20-11100000-11222-2-22-22200-1-102-2000-20-11100000-11
χ12222-2-2-222200-1-10-22000-20-111000001-1222-2-2-222200-1-10-22000-20-111000001-1222-2-2-222200-1-10-22000-20-111000001-1
χ1322-20000-222222200-2000-2-200000000022-20000-222222200-2000-2-200000000022-20000-222222200-2000-2-2000000000
χ1422-20000-22-2-222-20020002-200000000022-20000-22-2-222-20020002-200000000022-20000-22-2-222-20020002-2000000000
χ153333333-1-11100-1-1-1-111-11000-1-1-111003333333-1-11100-1-1-1-111-11000-1-1-111003333333-1-11100-1-1-1-111-11000-1-1-11100
χ163333333-1-1-1-1001-1-11-1-1-1-1000111-1-1003333333-1-1-1-1001-1-11-1-1-1-1000111-1-1003333333-1-1-1-1001-1-11-1-1-1-1000111-1-100
χ1733333-3-3-1-11100-111-111-1100011-1-1-10033333-3-3-1-11100-111-111-1100011-1-1-10033333-3-3-1-11100-111-111-1100011-1-1-100
χ1833333-3-3-1-1-1-1001111-1-1-1-1000-1-11110033333-3-3-1-1-1-1001111-1-1-1-1000-1-11110033333-3-3-1-1-1-1001111-1-1-1-1000-1-111100
χ19333-3-33-3-1-11100-1-11-1-1-111000-1111-100333-3-33-3-1-11100-1-11-1-1-111000-1111-100333-3-33-3-1-11100-1-11-1-1-111000-1111-100
χ20333-3-33-3-1-1-1-1001-111111-10001-1-1-1100333-3-33-3-1-1-1-1001-111111-10001-1-1-1100333-3-33-3-1-1-1-1001-111111-10001-1-1-1100
χ21333-3-3-33-1-11100-11-1-1-1-1110001-11-1100333-3-3-33-1-11100-11-1-1-1-1110001-11-1100333-3-3-33-1-11100-11-1-1-1-1110001-11-1100
χ22333-3-3-33-1-1-1-10011-11111-1000-11-11-100333-3-3-33-1-1-1-10011-11111-1000-11-11-100333-3-3-33-1-1-1-10011-11111-1000-11-11-100
χ2344-40000-4400-2-200000000200000000044-40000-4400-2-200000000200000000044-40000-4400-2-2000000002000000000
χ244-4022−2200002i2−2i2-2200002i−2i0002−200000004-4022−2200002i2−2i2-2200002i−2i0002−200000004-4022−2200002i2−2i2-2200002i−2i0002−20000000
χ254-4022−220000−2i22i2-220000−2i2i0002−200000004-4022−220000−2i22i2-220000−2i2i0002−200000004-4022−220000−2i22i2-220000−2i2i0002−20000000
χ264-40−222200002i2−2i2-220000−2i2i000−2200000004-40−222200002i2−2i2-220000−2i2i000−2200000004-40−222200002i2−2i2-220000−2i2i000−220000000
χ274-40−22220000−2i22i2-2200002i−2i000−2200000004-40−22220000−2i22i2-2200002i−2i000−2200000004-40−22220000−2i22i2-2200002i−2i000−220000000
χ2866-600002-22200-2002000-2000000000066-600002-22200-2002000-2000000000066-600002-22200-2002000-20000000000
χ2966-600002-2-2-200200-20002000000000066-600002-2-2-200200-20002000000000066-600002-2-2-200200-200020000000000
χ308-8042−420000002-2000000000−2200000008-8042−420000002-2000000000−2200000008-8042−420000002-2000000000−220000000
χ318-80−42420000002-20000000002−200000008-80−42420000002-20000000002−200000008-80−42420000002-20000000002−20000000
χ321111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ33111111111-1-111-111-1-1-11-1111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3411111-1-11111111-1-111111111-1-11-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ3511111-1-111-1-111-1-1-1-1-1-11-111111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ36111-1-11-111111111-11-1-1-111-1-11-1-11-11-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ37111-1-11-111-1-111-11-1-111-1-11-1-1-111-111-1−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ38111-1-1-111111111-111-1-1-111-1-1-11-1-11-11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ39111-1-1-1111-1-111-1-11-111-1-11-1-11-111-1-11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ4022222222200-1-102200020-1-1-100000-1-1−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3000−1+i301−i321−i321−i32000001−i321−i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3000−1−i301+i321+i321+i32000001+i321+i32
χ4122222-2-22200-1-10-2-200020-1-1-10000011−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3001−i321−i3201−i31−i3000−1+i301−i321−i321−i3200000−1+i32−1+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3001+i321+i3201+i31+i3000−1−i301+i321+i321+i3200000−1−i32−1−i32
χ42222-2-22-22200-1-102-2000-20-11100000-11−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3001−i321−i320−1+i31−i30001−i301−i32−1+i32−1+i32000001−i32−1+i32−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3001+i321+i320−1−i31+i30001+i301+i32−1−i32−1−i32000001+i32−1−i32
χ43222-2-2-222200-1-10-22000-20-111000001-1−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3001−i321−i3201−i3−1+i30001−i301−i32−1+i32−1+i3200000−1+i321−i32−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3001+i321+i3201+i3−1−i30001+i301+i32−1−i32−1−i3200000−1−i321+i32
χ4422-20000-222222200-2000-2-2000000000−1+i3−1+i31−i300001−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i30001−i31−i3000000000−1−i3−1−i31+i300001+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i30001+i31+i3000000000
χ4522-20000-22-2-222-20020002-2000000000−1+i3−1+i31−i300001−i3−1+i31−i31−i3−1+i3−1+i31−i300−1+i3000−1+i31−i3000000000−1−i3−1−i31+i300001+i3−1−i31+i31+i3−1−i3−1−i31+i300−1−i3000−1−i31+i3000000000
χ463333333-1-11100-1-1-1-111-11000-1-1-11100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i32001−i321−i321−i321−i32−1+i32−1+i321−i32−1+i320001−i321−i321−i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i32001+i321+i321+i321+i32−1−i32−1−i321+i32−1−i320001+i321+i321+i32−1−i32−1−i3200
χ473333333-1-1-1-1001-1-11-1-1-1-1000111-1-100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200−1+i321−i321−i32−1+i321−i321−i321−i321−i32000−1+i32−1+i32−1+i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200−1−i321+i321+i32−1−i321+i321+i321+i321+i32000−1−i32−1−i32−1−i321+i321+i3200
χ4833333-3-3-1-11100-111-111-1100011-1-1-100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i32001−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32000−1+i32−1+i321−i321−i321−i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32001+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32000−1−i32−1−i321+i321+i321+i3200
χ4933333-3-3-1-1-1-1001111-1-1-1-1000-1-111100−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32−1+i3200−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−1−i3200
χ50333-3-33-3-1-11100-1-11-1-1-111000-1111-100−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i32−1+i32−1+i32001−i321−i32−1+i321−i321−i321−i32−1+i32−1+i320001−i32−1+i32−1+i32−1+i321−i3200−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i32−1−i32−1−i32001+i321+i32−1−i321+i321+i321+i32−1−i32−1−i320001+i32−1−i32−1−i32−1−i321+i3200
χ51333-3-33-3-1-1-1-1001-111111-10001-1-1-1100−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i321−i321−i3200−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32000−1+i321−i321−i321−i32−1+i3200−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i321+i321+i3200−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32000−1−i321+i321+i321+i32−1−i3200
χ52333-3-3-33-1-11100-11-1-1-1-1110001-11-1100−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i32001−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000−1+i321−i32−1+i321−i32−1+i3200−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i32001+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000−1−i321+i32−1−i321+i32−1−i3200
χ53333-3-3-33-1-1-1-10011-11111-1000-11-11-100−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i321−i321−i3200−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i320001−i32−1+i321−i32−1+i321−i3200−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i321+i321+i3200−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i320001+i32−1−i321+i32−1−i321+i3200
χ5444-40000-4400-2-2000000002000000000−2+2i3−2+2i32−2i300002−2i3−2+2i3001−i31−i300000000−1+i3000000000−2−2i3−2−2i32+2i300002+2i3−2−2i3001+i31+i300000000−1−i3000000000
χ554-4022−2200002i2−2i2-2200002i−2i0002−20000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ230000−2ζ5−2ζ232ζ5+2ζ231−i3−1+i300002ζ14−2ζ14000ζ5−ζ23−ζ5+ζ230000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ130000−2ζ7−2ζ132ζ7+2ζ131+i3−1−i300002ζ22−2ζ22000−ζ7+ζ13ζ7−ζ130000000
χ564-4022−220000−2i22i2-220000−2i2i0002−20000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ2300002ζ5+2ζ23−2ζ5−2ζ231−i3−1+i30000−2ζ142ζ14000ζ5−ζ23−ζ5+ζ230000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ1300002ζ7+2ζ13−2ζ7−2ζ131+i3−1−i30000−2ζ222ζ22000−ζ7+ζ13ζ7−ζ130000000
χ574-40−222200002i2−2i2-220000−2i2i000−220000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ230000−2ζ5−2ζ232ζ5+2ζ231−i3−1+i30000−2ζ142ζ14000−ζ5+ζ23ζ5−ζ230000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ130000−2ζ7−2ζ132ζ7+2ζ131+i3−1−i30000−2ζ222ζ22000ζ7−ζ13−ζ7+ζ130000000
χ584-40−22220000−2i22i2-2200002i−2i000−220000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ2300002ζ5+2ζ23−2ζ5−2ζ231−i3−1+i300002ζ14−2ζ14000−ζ5+ζ23ζ5−ζ230000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ1300002ζ7+2ζ13−2ζ7−2ζ131+i3−1−i300002ζ22−2ζ22000ζ7−ζ13−ζ7+ζ130000000
χ5966-600002-22200-2002000-20000000000−3+3i3−3+3i33−3i30000−1+i31−i3−1+i3−1+i3001−i300−1+i30001−i30000000000−3−3i3−3−3i33+3i30000−1−i31+i3−1−i3−1−i3001+i300−1−i30001+i30000000000
χ6066-600002-2-2-200200-200020000000000−3+3i3−3+3i33−3i30000−1+i31−i31−i31−i300−1+i3001−i3000−1+i30000000000−3−3i3−3−3i33+3i30000−1−i31+i31+i31+i300−1−i3001+i3000−1−i30000000000
χ618-8042−420000002-2000000000−220000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ23000000−1+i31−i3000000000−ζ5+ζ23ζ5−ζ230000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ13000000−1−i31+i3000000000ζ7−ζ13−ζ7+ζ130000000
χ628-80−42420000002-20000000002−20000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ23000000−1+i31−i3000000000ζ5−ζ23−ζ5+ζ230000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ13000000−1−i31+i3000000000−ζ7+ζ13ζ7−ζ130000000
χ631111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ64111111111-1-111-111-1-1-11-1111-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6511111-1-11111111-1-111111111-1-11-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32
χ6611111-1-111-1-111-1-1-1-1-1-11-111111-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ67111-1-11-111111111-11-1-1-111-1-11-1-11-11-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ68111-1-11-111-1-111-11-1-111-1-11-1-1-111-111-1−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ69111-1-1-111111111-111-1-1-111-1-1-11-1-11-11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ70111-1-1-1111-1-111-1-11-111-1-11-1-11-111-1-11−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ7122222222200-1-102200020-1-1-100000-1-1−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i321+i320−1−i3−1−i3000−1−i301+i321+i321+i32000001+i321+i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i321−i320−1+i3−1+i3000−1+i301−i321−i321−i32000001−i321−i32
χ7222222-2-22200-1-10-2-200020-1-1-10000011−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3001+i321+i3201+i31+i3000−1−i301+i321+i321+i3200000−1−i32−1−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3001−i321−i3201−i31−i3000−1+i301−i321−i321−i3200000−1+i32−1+i32
χ73222-2-22-22200-1-102-2000-20-11100000-11−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3001+i321+i320−1−i31+i30001+i301+i32−1−i32−1−i32000001+i32−1−i32−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3001−i321−i320−1+i31−i30001−i301−i32−1+i32−1+i32000001−i32−1+i32
χ74222-2-2-222200-1-10-22000-20-111000001-1−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i3001+i321+i3201+i3−1−i30001+i301+i32−1−i32−1−i3200000−1−i321+i32−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i3001−i321−i3201−i3−1+i30001−i301−i32−1+i32−1+i3200000−1+i321−i32
χ7522-20000-222222200-2000-2-2000000000−1−i3−1−i31+i300001+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i30001+i31+i3000000000−1+i3−1+i31−i300001−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i30001−i31−i3000000000
χ7622-20000-22-2-222-20020002-2000000000−1−i3−1−i31+i300001+i3−1−i31+i31+i3−1−i3−1−i31+i300−1−i3000−1−i31+i3000000000−1+i3−1+i31−i300001−i3−1+i31−i31−i3−1+i3−1+i31−i300−1+i3000−1+i31−i3000000000
χ773333333-1-11100-1-1-1-111-11000-1-1-11100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i32001+i321+i321+i321+i32−1−i32−1−i321+i32−1−i320001+i321+i321+i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i32001−i321−i321−i321−i32−1+i32−1+i321−i32−1+i320001−i321−i321−i32−1+i32−1+i3200
χ783333333-1-1-1-1001-1-11-1-1-1-1000111-1-100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200−1−i321+i321+i32−1−i321+i321+i321+i321+i32000−1−i32−1−i32−1−i321+i321+i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200−1+i321−i321−i32−1+i321−i321−i321−i321−i32000−1+i32−1+i32−1+i321−i321−i3200
χ7933333-3-3-1-11100-111-111-1100011-1-1-100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i32001+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32000−1−i32−1−i321+i321+i321+i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i32001−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32000−1+i32−1+i321−i321−i321−i3200
χ8033333-3-3-1-1-1-1001111-1-1-1-1000-1-111100−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i3200−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320001+i321+i32−1−i32−1−i32−1−i3200−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i3200−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320001−i321−i32−1+i32−1+i32−1+i3200
χ81333-3-33-3-1-11100-1-11-1-1-111000-1111-100−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i32−1−i32−1−i32001+i321+i32−1−i321+i321+i321+i32−1−i32−1−i320001+i32−1−i32−1−i32−1−i321+i3200−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i32−1+i32−1+i32001−i321−i32−1+i321−i321−i321−i32−1+i32−1+i320001−i32−1+i32−1+i32−1+i321−i3200
χ82333-3-33-3-1-1-1-1001-111111-10001-1-1-1100−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i321+i321+i321+i321+i3200−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32000−1−i321+i321+i321+i32−1−i3200−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i321−i321−i321−i321−i3200−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32000−1+i321−i321−i321−i32−1+i3200
χ83333-3-3-33-1-11100-11-1-1-1-1110001-11-1100−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i32−1−i32−1−i32001+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000−1−i321+i32−1−i321+i32−1−i3200−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i32−1+i32−1+i32001−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000−1+i321−i32−1+i321−i32−1+i3200
χ84333-3-3-33-1-1-1-10011-11111-1000-11-11-100−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i321+i321+i321+i321+i3200−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i320001+i32−1−i321+i32−1−i321+i3200−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i321−i321−i321−i321−i3200−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i320001−i32−1+i321−i32−1+i321−i3200
χ8544-40000-4400-2-2000000002000000000−2−2i3−2−2i32+2i300002+2i3−2−2i3001+i31+i300000000−1−i3000000000−2+2i3−2+2i32−2i300002−2i3−2+2i3001−i31−i300000000−1+i3000000000
χ864-4022−2200002i2−2i2-2200002i−2i0002−20000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ130000−2ζ7−2ζ132ζ7+2ζ131+i3−1−i300002ζ22−2ζ22000−ζ7+ζ13ζ7−ζ130000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ230000−2ζ5−2ζ232ζ5+2ζ231−i3−1+i300002ζ14−2ζ14000ζ5−ζ23−ζ5+ζ230000000
χ874-4022−220000−2i22i2-220000−2i2i0002−20000000−2−2i32+2i30−2ζ7+2ζ132ζ7−2ζ1300002ζ7+2ζ13−2ζ7−2ζ131+i3−1−i30000−2ζ222ζ22000−ζ7+ζ13ζ7−ζ130000000−2+2i32−2i302ζ5−2ζ23−2ζ5+2ζ2300002ζ5+2ζ23−2ζ5−2ζ231−i3−1+i30000−2ζ142ζ14000ζ5−ζ23−ζ5+ζ230000000
χ884-40−222200002i2−2i2-220000−2i2i000−220000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ130000−2ζ7−2ζ132ζ7+2ζ131+i3−1−i30000−2ζ222ζ22000ζ7−ζ13−ζ7+ζ130000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ230000−2ζ5−2ζ232ζ5+2ζ231−i3−1+i30000−2ζ142ζ14000−ζ5+ζ23ζ5−ζ230000000
χ894-40−22220000−2i22i2-2200002i−2i000−220000000−2−2i32+2i302ζ7−2ζ13−2ζ7+2ζ1300002ζ7+2ζ13−2ζ7−2ζ131+i3−1−i300002ζ22−2ζ22000ζ7−ζ13−ζ7+ζ130000000−2+2i32−2i30−2ζ5+2ζ232ζ5−2ζ2300002ζ5+2ζ23−2ζ5−2ζ231−i3−1+i300002ζ14−2ζ14000−ζ5+ζ23ζ5−ζ230000000
χ9066-600002-22200-2002000-20000000000−3−3i3−3−3i33+3i30000−1−i31+i3−1−i3−1−i3001+i300−1−i30001+i30000000000−3+3i3−3+3i33−3i30000−1+i31−i3−1+i3−1+i3001−i300−1+i30001−i30000000000
χ9166-600002-2-2-200200-200020000000000−3−3i3−3−3i33+3i30000−1−i31+i31+i31+i300−1−i3001+i3000−1−i30000000000−3+3i3−3+3i33−3i30000−1+i31−i31−i31−i300−1+i3001−i3000−1+i30000000000
χ928-8042−420000002-2000000000−220000000−4−4i34+4i30−4ζ7+4ζ134ζ7−4ζ13000000−1−i31+i3000000000ζ7−ζ13−ζ7+ζ130000000−4+4i34−4i304ζ5−4ζ23−4ζ5+4ζ23000000−1+i31−i3000000000−ζ5+ζ23ζ5−ζ230000000
χ938-80−42420000002-20000000002−20000000−4−4i34+4i304ζ7−4ζ13−4ζ7+4ζ13000000−1−i31+i3000000000−ζ7+ζ13ζ7−ζ130000000−4+4i34−4i30−4ζ5+4ζ234ζ5−4ζ23000000−1+i31−i3000000000ζ5−ζ23−ζ5+ζ230000000

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