Finite Group Databasebeta

← Group #11771750

Character table — Group #11771750

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222444444888888816161616161624242424242424241122222224444448888888161616161616242424242424242411222222244444488888881616161616162424242424242424
order1223446662488121268122424242424661212888816161616366312126666122424121262412242424246126612122424242448484848366312126666122424121262412242424246126612122424242448484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-111-11-111-1-11-111-1-1ii−i−iii−i−i111111111-1-1-1-111-11-111-1-11-111-1-1ii−i−iii−i−i111111111-1-1-1-111-11-111-1-11-111-1-1ii−i−iii−i−i
χ6111111111-1-1-1-111-11-111-1-11-111-1-1−i−iii−i−iii111111111-1-1-1-111-11-111-1-11-111-1-1−i−iii−i−iii111111111-1-1-1-111-11-111-1-11-111-1-1−i−iii−i−iii
χ7111111111-1-1-1-111-11-111-1-1-11-1-111ii−i−i−i−iii111111111-1-1-1-111-11-111-1-1-11-1-111ii−i−i−i−iii111111111-1-1-1-111-11-111-1-1-11-1-111ii−i−i−i−iii
χ8111111111-1-1-1-111-11-111-1-1-11-1-111−i−iiiii−i−i111111111-1-1-1-111-11-111-1-1-11-1-111−i−iiiii−i−i111111111-1-1-1-111-11-111-1-1-11-1-111−i−iiiii−i−i
χ922222222222-2-2222-22-2-2-2-20000000000000022222222222-2-2222-22-2-2-2-20000000000000022222222222-2-2222-22-2-2-2-200000000000000
χ10222222222-2-22222-2-2-2-2-22200000000000000222222222-2-22222-2-2-2-2-22200000000000000222222222-2-22222-2-2-2-2-22200000000000000
χ112222-2-22222-200-2-220-200000000000000−i2i2−i2i22222-2-22222-200-2-220-200000000000000−i2i2−i2i22222-2-22222-200-2-220-200000000000000−i2i2−i2i2
χ122222-2-22222-200-2-220-200000000000000i2−i2i2−i22222-2-22222-200-2-220-200000000000000i2−i2i2−i22222-2-22222-200-2-220-200000000000000i2−i2i2−i2
χ132222-2-2222-2200-2-2-202000000000000002−2−222222-2-2222-2200-2-2-202000000000000002−2−222222-2-2222-2200-2-2-202000000000000002−2−22
χ142222-2-2222-2200-2-2-20200000000000000−222−22222-2-2222-2200-2-2-20200000000000000−222−22222-2-2222-2200-2-2-20200000000000000−222−2
χ15222-122-1-1-12222-1-1-12-1-1-1-1-122-1-1-1-100000000222-122-1-1-12222-1-1-12-1-1-1-1-122-1-1-1-100000000222-122-1-1-12222-1-1-12-1-1-1-1-122-1-1-1-100000000
χ16222-122-1-1-12222-1-1-12-1-1-1-1-1-2-2111100000000222-122-1-1-12222-1-1-12-1-1-1-1-1-2-2111100000000222-122-1-1-12222-1-1-12-1-1-1-1-1-2-2111100000000
χ17222-122-1-1-122-2-2-1-1-1-2-1111100−i3i3−i3i300000000222-122-1-1-122-2-2-1-1-1-2-1111100−i3i3−i3i300000000222-122-1-1-122-2-2-1-1-1-2-1111100−i3i3−i3i300000000
χ18222-122-1-1-122-2-2-1-1-1-2-1111100i3−i3i3−i300000000222-122-1-1-122-2-2-1-1-1-2-1111100i3−i3i3−i300000000222-122-1-1-122-2-2-1-1-1-2-1111100i3−i3i3−i300000000
χ19222-122-1-1-1-2-222-1-11-2111-1-100−i3i3i3−i300000000222-122-1-1-1-2-222-1-11-2111-1-100−i3i3i3−i300000000222-122-1-1-1-2-222-1-11-2111-1-100−i3i3i3−i300000000
χ20222-122-1-1-1-2-222-1-11-2111-1-100i3−i3−i3i300000000222-122-1-1-1-2-222-1-11-2111-1-100i3−i3−i3i300000000222-122-1-1-1-2-222-1-11-2111-1-100i3−i3−i3i300000000
χ21222-122-1-1-1-2-2-2-2-1-1121-1-1112-2-1-11100000000222-122-1-1-1-2-2-2-2-1-1121-1-1112-2-1-11100000000222-122-1-1-1-2-2-2-2-1-1121-1-1112-2-1-11100000000
χ22222-122-1-1-1-2-2-2-2-1-1121-1-111-2211-1-100000000222-122-1-1-1-2-2-2-2-1-1121-1-111-2211-1-100000000222-122-1-1-1-2-2-2-2-1-1121-1-111-2211-1-100000000
χ2322-222-22-2-2002i−2i2-2000002i−2i0000001+i−1−i1−i−1+i000022-222-22-2-2002i−2i2-2000002i−2i0000001+i−1−i1−i−1+i000022-222-22-2-2002i−2i2-2000002i−2i0000001+i−1−i1−i−1+i0000
χ2422-222-22-2-2002i−2i2-2000002i−2i000000−1−i1+i−1+i1−i000022-222-22-2-2002i−2i2-2000002i−2i000000−1−i1+i−1+i1−i000022-222-22-2-2002i−2i2-2000002i−2i000000−1−i1+i−1+i1−i0000
χ2522-222-22-2-200−2i2i2-200000−2i2i0000001−i−1+i1+i−1−i000022-222-22-2-200−2i2i2-200000−2i2i0000001−i−1+i1+i−1−i000022-222-22-2-200−2i2i2-200000−2i2i0000001−i−1+i1+i−1−i0000
χ2622-222-22-2-200−2i2i2-200000−2i2i000000−1+i1−i−1−i1+i000022-222-22-2-200−2i2i2-200000−2i2i000000−1+i1−i−1−i1+i000022-222-22-2-200−2i2i2-200000−2i2i000000−1+i1−i−1−i1+i0000
χ27444-2-4-4-2-2-24-40022-202000000000000000000444-2-4-4-2-2-24-40022-202000000000000000000444-2-4-4-2-2-24-40022-202000000000000000000
χ28444-2-4-4-2-2-2-44002220-2000000000000000000444-2-4-4-2-2-2-44002220-2000000000000000000444-2-4-4-2-2-2-44002220-2000000000000000000
χ2944-44-444-4-40000-4400000000000000000000044-44-444-4-40000-4400000000000000000000044-44-444-4-40000-44000000000000000000000
χ3044-4-24-4-222004i−4i-2200000−2i2i0000000000000044-4-24-4-222004i−4i-2200000−2i2i0000000000000044-4-24-4-222004i−4i-2200000−2i2i00000000000000
χ3144-4-24-4-22200−4i4i-22000002i−2i0000000000000044-4-24-4-22200−4i4i-22000002i−2i0000000000000044-4-24-4-22200−4i4i-22000002i−2i00000000000000
χ3244-4-2-44-22200002-2000−2i32i3000000000000000044-4-2-44-22200002-2000−2i32i3000000000000000044-4-2-44-22200002-2000−2i32i30000000000000000
χ3344-4-2-44-22200002-20002i3−2i3000000000000000044-4-2-44-22200002-20002i3−2i3000000000000000044-4-2-44-22200002-20002i3−2i30000000000000000
χ348-80800-8000000000000000000000000000008-80800-8000000000000000000000000000008-80800-800000000000000000000000000000
χ358-80-4004−4i34i30000000000000000000000000008-80-4004−4i34i30000000000000000000000000008-80-4004−4i34i3000000000000000000000000000
χ368-80-40044i3−4i30000000000000000000000000008-80-40044i3−4i30000000000000000000000000008-80-40044i3−4i3000000000000000000000000000
χ37111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ391111111111111111111111-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ401111111111111111111111-1-1-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ41111111111-1-1-1-111-11-111-1-11-111-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ42111111111-1-1-1-111-11-111-1-11-111-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ43111111111-1-1-1-111-11-111-1-1-11-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ44111111111-1-1-1-111-11-111-1-1-11-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ4522222222222-2-2222-22-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i300000000000000
χ46222222222-2-22222-2-2-2-2-22200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i300000000000000
χ472222-2-22222-200-2-220-200000000000000−i2i2−i2i2−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3001−i31−i3−1+i301−i300000000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3001+i31+i3−1−i301+i300000000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13
χ482222-2-22222-200-2-220-200000000000000i2−i2i2−i2−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i3001−i31−i3−1+i301−i300000000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i3001+i31+i3−1−i301+i300000000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13
χ492222-2-2222-2200-2-2-202000000000000002−2−22−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3001−i31−i31−i30−1+i300000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3001+i31+i31+i30−1−i300000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13
χ502222-2-2222-2200-2-2-20200000000000000−222−2−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3001−i31−i31−i30−1+i300000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3001+i31+i31+i30−1−i300000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13
χ51222-122-1-1-12222-1-1-12-1-1-1-1-122-1-1-1-100000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000
χ52222-122-1-1-12222-1-1-12-1-1-1-1-1-2-2111100000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000
χ53222-122-1-1-122-2-2-1-1-1-2-1111100−i3i3−i3i300000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200000000
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χ87222-122-1-1-12222-1-1-12-1-1-1-1-122-1-1-1-100000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200000000
χ88222-122-1-1-12222-1-1-12-1-1-1-1-1-2-2111100000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i3200000000
χ89222-122-1-1-122-2-2-1-1-1-2-1111100−i3i3−i3i300000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i3200000000
χ90222-122-1-1-122-2-2-1-1-1-2-1111100i3−i3i3−i300000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i3200000000
χ91222-122-1-1-1-2-222-1-11-2111-1-100−i3i3i3−i300000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i321+i321+i3200−3+i323−i323−i32−3+i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i321−i321−i32003+i32−3−i32−3−i323+i3200000000
χ92222-122-1-1-1-2-222-1-11-2111-1-100i3−i3−i3i300000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i32−1−i321+i3−1−i32−1−i32−1−i321+i321+i32003−i32−3+i32−3+i323−i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i32−1+i321−i3−1+i32−1+i32−1+i321−i321−i3200−3−i323+i323+i32−3−i3200000000
χ93222-122-1-1-1-2-2-2-2-1-1121-1-1112-2-1-11100000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i3−1−i321+i321+i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i32−1−i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i3−1+i321−i321−i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i32−1+i3200000000
χ94222-122-1-1-1-2-2-2-2-1-1121-1-111-2211-1-100000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i31+i321+i32−1−i32−1−i3−1−i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i3200000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i31−i321−i32−1+i32−1+i3−1+i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i3200000000
χ9522-222-22-2-2002i−2i2-2000002i−2i0000001+i−1−i1−i−1+i0000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3002ζ22−2ζ22−1−i31+i3000002ζ22−2ζ22000000−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ220000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3002ζ14−2ζ14−1+i31−i3000002ζ14−2ζ14000000ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ200000
χ9622-222-22-2-2002i−2i2-2000002i−2i000000−1−i1+i−1+i1−i0000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i3002ζ22−2ζ22−1−i31+i3000002ζ22−2ζ22000000ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ220000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i3002ζ14−2ζ14−1+i31−i3000002ζ14−2ζ14000000−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ200000
χ9722-222-22-2-200−2i2i2-200000−2i2i0000001−i−1+i1+i−1−i0000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i300−2ζ222ζ22−1−i31+i300000−2ζ222ζ22000000−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ220000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i300−2ζ142ζ14−1+i31−i300000−2ζ142ζ14000000−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ200000
χ9822-222-22-2-200−2i2i2-200000−2i2i000000−1+i1−i−1−i1+i0000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i300−2ζ222ζ22−1−i31+i300000−2ζ222ζ22000000ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ220000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i300−2ζ142ζ14−1+i31−i300000−2ζ142ζ14000000ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ200000
χ99444-2-4-4-2-2-24-40022-202000000000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i3−2−2i32+2i300−1−i3−1−i31+i30−1−i3000000000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i3−2+2i32−2i300−1+i3−1+i31−i30−1+i3000000000000000000
χ100444-2-4-4-2-2-2-44002220-2000000000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i32+2i3−2−2i300−1−i3−1−i3−1−i301+i3000000000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i32−2i3−2+2i300−1+i3−1+i3−1+i301−i3000000000000000000
χ10144-44-444-4-40000-44000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i300002+2i3−2−2i3000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i300002−2i3−2+2i3000000000000000000000
χ10244-4-24-4-222004i−4i-2200000−2i2i00000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3−1−i3−1−i3004ζ22−4ζ221+i3−1−i300000−2ζ222ζ2200000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3−1+i3−1+i3004ζ14−4ζ141−i3−1+i300000−2ζ142ζ1400000000000000
χ10344-4-24-4-22200−4i4i-22000002i−2i00000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3−1−i3−1−i300−4ζ224ζ221+i3−1−i3000002ζ22−2ζ2200000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3−1+i3−1+i300−4ζ144ζ141−i3−1+i3000002ζ14−2ζ1400000000000000
χ10444-4-2-44-22200002-2000−2i32i30000000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i3−1−i3−1−i30000−1−i31+i3000−3+i33−i30000000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i3−1+i3−1+i30000−1+i31−i30003+i3−3−i30000000000000000
χ10544-4-2-44-22200002-20002i3−2i30000000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i3−1−i3−1−i30000−1−i31+i30003−i3−3+i30000000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i3−1+i3−1+i30000−1+i31−i3000−3−i33+i30000000000000000
χ1068-80800-800000000000000000000000000000−4−4i34+4i30−4−4i3004+4i300000000000000000000000000000−4+4i34−4i30−4+4i3004−4i300000000000000000000000000000
χ1078-80-4004−4i34i3000000000000000000000000000−4−4i34+4i302+2i300−2−2i3−6+2i36−2i3000000000000000000000000000−4+4i34−4i302−2i300−2+2i36+2i3−6−2i3000000000000000000000000000
χ1088-80-40044i3−4i3000000000000000000000000000−4−4i34+4i302+2i300−2−2i36−2i3−6+2i3000000000000000000000000000−4+4i34−4i302−2i300−2+2i3−6−2i36+2i3000000000000000000000000000

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