Finite Group Databasebeta

← Group #11799674

Character table — Group #11799674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444466888888121212121212121212121212121212121212121212121216161616161616161624243636363648484848487272
order122233446666668888366612121212242424242424242444121224242424488121212121616161624242424484848484848484841212121212121212441616161641212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111
χ51111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22-2-222220000-2-2-2-2000000000000000000000000000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-222-2-2-2-200002222000000000000000000000000000000
χ11222222-2-222222200002222-2-2-2-20000000022-2-20000-200-2-22222−2−200002222−2−2−2−20000000000022−2−20000000
χ12222222-2-222222200002222-2-2-2-20000000022-2-20000-200-2-222−2−2220000−2−2−2−2222200000000000−2−2220000000
χ13222222-2-222222200002222-2-2-2-200000000-2-2-2-2000020022-2-222−2−200002222−2−2−2−200000000000−2−2220000000
χ14222222-2-222222200002222-2-2-2-200000000-2-2-2-2000020022-2-2−2−2220000−2−2−2−222220000000000022−2−20000000
χ1522222-1222-12-12-12222-1-1-1-12-12-122-1-1-1-12222-1-1-1-1-1-1222-1-1-1-10000-1-1-1-100000000222-1-1-1-1-1-1000000200-1-100
χ1622222-1222-12-12-12222-1-1-1-12-12-122-1-1-1-12222-1-1-1-1-1-1222-1-1-1-10000-1-1-1-100000000-2-2-2111111000000-2001100
χ1722222-1222-12-12-12222-1-1-1-12-12-122-1-1-1-122-2-2-1-1-1-1-1-1-2-2-211110000111100000000222-1-1-1-1-1-1000000-2001100
χ1822222-1222-12-12-12222-1-1-1-12-12-122-1-1-1-122-2-2-1-1-1-1-1-1-2-2-211110000111100000000-2-2-2111111000000200-1-100
χ1922222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-222-1-111112-2-2-1-1-1-10000111100000000000−i3i3−i3−i3i3i3000000000−i3i300
χ2022222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-222-1-111112-2-2-1-1-1-10000111100000000000i3−i3i3i3−i3−i3000000000i3−i300
χ2122222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-1-11111-22211110000-1-1-1-100000000000−i3i3−i3−i3i3i3000000000i3−i300
χ2222222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-1-11111-22211110000-1-1-1-100000000000i3−i3i3i3−i3−i3000000000−i3i300
χ232222-1222-12-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-1000000022220000-1-1-1-1-1-1-1-12-1-122-1-1-1-12200000-1-10000
χ242222-1222-12-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-1000000022220000-1-1-1-1-1-1-1-1-211-2-21111-2-200000110000
χ252222-1222-12-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-10000000-2-2-2-20000111111112-1-122-1-1-1-1-2-200000110000
χ262222-1222-12-12-122222-1-1-1-1-12-12-1-12222-1-100-1-1-1-1-1-10000000-2-2-2-2000011111111-211-2-211112200000-1-10000
χ2722-2-2222-2-22-2-22-222-2-22-22-2-222-22222-2-2-2-200-2222-2-2000000000000000000000000000000002-2000002-20000
χ2822-2-2222-2-22-2-22-222-2-22-22-2-222-22222-2-2-2-200-2222-2-200000000000000000000000000000000-2200000-220000
χ2922-2-2222-2-22-2-22-2-2-2222-22-2-222-2-2-2-2-2222200-22-2-22200000000000000000000000000000000000000000002i−2i
χ3022-2-2222-2-22-2-22-2-2-2222-22-2-222-2-2-2-2-2222200-22-2-2220000000000000000000000000000000000000000000−2i2i
χ3122-2-2-122-2121-2-1-222-2-2-11-1112-1-2-1-122-2-211001-1-1-11100000000000000033−3−333−3−303−3003−33−32-200000-110000
χ3222-2-2-122-2121-2-1-222-2-2-11-1112-1-2-1-122-2-211001-1-1-11100000000000000033−3−333−3−30−3300−33−33-22000001-10000
χ3322-2-2-122-2121-2-1-222-2-2-11-1112-1-2-1-122-2-211001-1-1-111000000000000000−3−333−3−33303−3003−33−3-22000001-10000
χ3422-2-2-122-2121-2-1-222-2-2-11-1112-1-2-1-122-2-211001-1-1-111000000000000000−3−333−3−3330−3300−33−332-200000-110000
χ352-2-222200-2-222-2-22−22−22-2-2200002−22−22−22−22i−2i002−22−20−i2i2002i−2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−i2−i2i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000
χ362-2-222200-2-222-2-22−22−22-2-2200002−22−22−22−22i−2i002−22−20−i2i2002i−2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−i2−i2i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000
χ372-2-222200-2-222-2-22−22−22-2-2200002−22−22−22−2−2i2i002−22−20i2−i200−2i2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43i2i2−i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000000
χ382-2-222200-2-222-2-22−22−22-2-2200002−22−22−22−2−2i2i002−22−20i2−i200−2i2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43i2i2−i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000000
χ392-2-222200-2-222-2-2−22−222-2-220000−22−22−22−222i−2i00−22−220i2−i2002i−2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47i2i2−i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000
χ402-2-222200-2-222-2-2−22−222-2-220000−22−22−22−222i−2i00−22−220i2−i2002i−2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47i2i2−i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000
χ412-2-222200-2-222-2-2−22−222-2-220000−22−22−22−22−2i2i00−22−220−i2i200−2i2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−i2−i2i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000000
χ422-2-222200-2-222-2-2−22−222-2-220000−22−22−22−22−2i2i00−22−220−i2i200−2i2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−i2−i2i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000000
χ4344444-2-4-44-24-24-20000-2-2-2-2-42-420000000044220000-40022-2-200000000000000000000000000000000000000
χ4444444-2-4-44-24-24-20000-2-2-2-2-42-4200000000-4-4220000400-2-22200000000000000000000000000000000000000
χ454444-2444-24-24-24-4-4-4-4-2-2-2-2-24-2422-4-4-4-42200-2-22222000000000000000000000000000000000000000000000
χ464444-24-4-4-24-24-240000-2-2-2-22-42-4000000000022000000000002222−22−220000−2−2−2−222220000000000000000000000
χ474444-24-4-4-24-24-240000-2-2-2-22-42-400000000002200000000000−22−22222200002222−2−2−2−20000000000000000000000
χ484444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200111111000000000000000000000004-2-2-2-211110000000000000
χ494444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20011111100000000000000000000000-42222-1-1-1-10000000000000
χ504444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220011-1-1-1-100000000000000000000000000−2i32i3i3i3−i3−i30000000000000
χ514444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220011-1-1-1-1000000000000000000000000002i3−2i3−i3−i3i3i30000000000000
χ5244-4-444-44-44-4-44-400004-44-44-4-4400000000004-40000000000000000000000000000000000000000000000000
χ5344-4-44-24-4-4-2-424244-4-4-22-22-4-24244-2-222-4-4002-2-2-222000000000000000000000000000000000000000000000
χ5444-4-44-24-4-4-2-4242-4-444-22-22-4-242-4-422-2-244002-222-2-2000000000000000000000000000000000000000000000
χ5544-4-44-2-44-4-2-42420000-22-2242-4-20000000000-22000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5644-4-44-2-44-4-2-42420000-22-2242-4-20000000000-220000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ5744-4-4-244-4242-4-2-4-4-444-22-2224-2-422-4-444-2-2002-222-2-2000000000000000000000000000000000000000000000
χ5844-4-4-24-44242-4-2-40000-22-22-2-4240000000000-22000000000000000000066−6−6−6−6660000000000000000000000
χ5944-4-4-24-44242-4-2-40000-22-22-2-4240000000000-220000000000000000000−6−66666−6−60000000000000000000000
χ6044-4-4-2-24-42-222-2244-4-41-11-12-2-22-2-2-2-2222200-1111-1-100000000000000000000000023−2300−33−330000000000000
χ6144-4-4-2-24-42-222-2244-4-41-11-12-2-22-2-2-2-2222200-1111-1-1000000000000000000000000−2323003−33−30000000000000
χ6244-4-4-2-24-42-222-22-4-4441-11-12-2-222222-2-2-2-200-11-1-11100000000000000000000000000003i−3i−3i3i0000000000000
χ6344-4-4-2-24-42-222-22-4-4441-11-12-2-222222-2-2-2-200-11-1-1110000000000000000000000000000−3i3i3i−3i0000000000000
χ644-44-444004-4-4-4-4422−22−222244-4-4000022−2222−22−2222−2222000022−22−2222000000000000000000000000000000000000000000000
χ654-44-444004-4-4-4-44−222222−2244-4-40000−2222−222222−2222−220000−222222−22000000000000000000000000000000000000000000000
χ664-44-44-20042-42-4-222−22−2222-2-222000022−22−222−2−22220000−222−200023−230000006−6−66000000000000000000000000000000
χ674-44-44-20042-42-4-222−22−2222-2-222000022−22−222−2−22220000−222−2000−2323000000−666−6000000000000000000000000000000
χ684-44-44-20042-42-4-2−222222−22-2-2220000−22222−2−2222−2200002−2−2200023−23000000−666−6000000000000000000000000000000
χ694-44-44-20042-42-4-2−222222−22-2-2220000−22222−2−2222−2200002−2−22000−23230000006−6−66000000000000000000000000000000
χ704-44-4-2400-2-42-42422−22−2222-2-2220000−2222−22−22222−20000−222−2000000000000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ470000000000000000000000
χ714-44-4-2400-2-42-42422−22−2222-2-2220000−2222−22−22222−20000−222−2000000000000000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ470000000000000000000000
χ724-44-4-2400-2-42-424−222222−22-2-22200002−2−222222−22−2200002−2−22000000000000000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ430000000000000000000000
χ734-44-4-2400-2-42-424−222222−22-2-22200002−2−222222−22−2200002−2−22000000000000000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ430000000000000000000000
χ744-4-444-200-424-2-4222−2222−22-222-2000022−22−22−2222−224i−4i00−22−220−2i22i200−2i2i0000i2i2−i2−i2000000000000000000000000000000
χ754-4-444-200-424-2-4222−2222−22-222-2000022−22−22−2222−22−4i4i00−22−2202i2−2i2002i−2i0000−i2−i2i2i2000000000000000000000000000000
χ764-4-444-200-424-2-42−2222−2222-222-20000−22222−22−2−22224i−4i002−22−202i2−2i200−2i2i0000−i2−i2i2i2000000000000000000000000000000
χ774-4-444-200-424-2-42−2222−2222-222-20000−22222−22−2−2222−4i4i002−22−20−2i22i2002i−2i0000i2i2−i2−i2000000000000000000000000000000
χ784-4-44-24002-4-242-422−2222−22-222-20000−2222−2222−22−220000−22−220000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000000000000
χ794-4-44-24002-4-242-422−2222−22-222-20000−2222−2222−22−220000−22−2200000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000000000000
χ804-4-44-24002-4-242-4−2222−2222-222-200002−2−2222−22222−200002−22−200000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000000000000
χ814-4-44-24002-4-242-4−2222−2222-222-200002−2−2222−22222−200002−22−20000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000
χ8388-8-8-4-4-884-444-4400002-22-2-444-400000000002-20000000000000000000000000000000000000000000000000
χ848-88-8-4-400-44444-442−42−424222-2-20000−2222−222222−2222−2200002−2−22000000000000000000000000000000000000000000000
χ858-88-8-4-400-44444-4−424242−4222-2-2000022−2222−22−2222−22220000−222−2000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-44442−4242−422-2-220000−2222−2222−2222−222200002−22−2000000000000000000000000000000000000000000000
χ878-8-88-4-40044-4-444−4242−42422-2-22000022−2222−2222−2222−220000−22−22000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.