Finite Group Databasebeta

← Group #13160237

Character table — Group #13160237

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1122222222222224444444444444444444444488888888888888812121212121212121212121212121212121216161616161616161616161618181818243636363648484848727272108108216
order123333346666688333366661212121212242424242424242424244121212121212242424242424242416164848484848484848484848484848484812121212121212121212121224662812242466664121216164
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11111-1-1-1-1111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-11
χ811111111111111111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1
χ92222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-20002222-2-2-2-2-2-2-2-200000000000000000000000000000022220-22-2-20000000000
χ102222222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-20002222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-2-2-202-2220000000000
χ112222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-2000000002−222222222−2−2−2−2−2−2−2−20000000000002-22200-20000000002−20
χ122222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-2000000002−222222222−2−2−2−2−2−2−2−2000000000000-22-2-2002000000000−220
χ132222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-200000000−22−2−2−2−2−2−2−2−2222222220000000000002-22200-2000000000−220
χ142222222-2222220022222222-2-2-2-2-20000000000000-2-2-2-200000000−22−2−2−2−2−2−2−2−222222222000000000000-22-2-20020000000002−20
χ152222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-10000200002-1-1-1000000
χ162222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12222-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111112-1-1-122-1-1-1-1-1-10000-20000-2111000000
χ172222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-1-2-2-22-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-2111-2-21111110000-20000-2111000000
χ182222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-1-2-2-22-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2111-2-21111110000200002-1-1-1000000
χ19222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1222-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1000020000-12-1-1000000
χ20222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1222-12-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111-12-1-1-1-122-1-1-1-10000-200001-211000000
χ21222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-12-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-11-21111-2-211110000-200001-211000000
χ22222-12-1-12-12-1-1222-12-1-1-12-1-1-12-1-1222-1-122-1-1-1-1-2-2-2-12-1-1-1-122-1-1-1-1-2-211-2-2111111-2-211111-21111-2-21111000020000-12-1-1000000
χ23222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1222-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1000020000-1-12-1000000
χ24222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1222-1-12-1-1-1-1-122-1-1-2-21111-2-2111111-2-211-1-12-1-1-1-1-122-1-10000-2000011-21000000
χ25222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-2-2-2-1-12-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-111-211111-2-2110000-2000011-21000000
χ26222-1-12-12-1-12-1222-1-12-1-1-12-1-1-12-1222-1-1-1-122-1-1-2-2-2-1-12-1-1-1-1-122-1-1-2-21111-2-2111111-2-21111-211111-2-211000020000-1-12-1000000
χ27222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122000020000-1-1-12000000
χ28222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-122-2-2111111-2-2111111-2-2-1-1-12-1-1-1-1-1-1220000-20000111-2000000
χ29222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-2-2-2-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122111-2111111-2-20000-20000111-2000000
χ30222-1-1-122-1-1-12222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-2-2-2-1-1-12-1-1-1-1-1-122-2-2111111-2-2111111-2-2111-2111111-2-2000020000-1-1-12000000
χ3122-1222222222-122-1-1-1-1-1-1-1-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-122-1-102-1-1-100002-1-1000
χ3222-1222222222-122-1-1-1-1-1-1-1-12222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-1-2-2110-21110000-211000
χ3322-1222222222-122-1-1-1-1-1-1-1-12222-1-1-122222222-211-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-21111111122-1-102-1-1-10000-211000
χ3422-1222222222-122-1-1-1-1-1-1-1-12222-1-1-122222222-211-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-211111111-2-2110-211100002-1-1000
χ3522-1222222222-1-2-2-1-1-1-1-1-1-1-12222-111-2-2-2-2-2-2-2-20−i3i3-1-1-1-1111111110000000000000000000000−i3i3−i3i3−i3i3−i3i322-1-10-2-11100000−i3i3000
χ3622-1222222222-1-2-2-1-1-1-1-1-1-1-12222-111-2-2-2-2-2-2-2-20−i3i3-1-1-1-1111111110000000000000000000000−i3i3−i3i3−i3i3−i3i3-2-211021-1-100000i3−i3000
χ3722-1222222222-1-2-2-1-1-1-1-1-1-1-12222-111-2-2-2-2-2-2-2-20i3−i3-1-1-1-1111111110000000000000000000000i3−i3i3−i3i3−i3i3−i322-1-10-2-11100000i3−i3000
χ3822-1222222222-1-2-2-1-1-1-1-1-1-1-12222-111-2-2-2-2-2-2-2-20i3−i3-1-1-1-1111111110000000000000000000000i3−i3i3−i3i3−i3i3−i3-2-211021-1-100000−i3i3000
χ394444-2-2-244-2-2-24-4-44-2-2-24-2-2-24-2-2-24-4-4-4-42222220004-2-2-2-4-42222220000000000000000000000000000000000000000000000000
χ404444-2-2-2-44-2-2-24004-2-2-24-2-2-2-4222-40000000000000-42220000000022−222222−2−2−2−2−2−2−22−222222220000000000000000000000000000000
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χ42444-24-2-24-24-2-24-4-4-24-2-2-24-2-2-24-2-24-4-422-4-42222000-24-2-222-4-422220000000000000000000000000000000000000000000000000
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χ45444-2-24-24-2-24-24-4-4-2-24-2-2-24-2-2-24-24-4-42222-4-422000-2-24-22222-4-4220000000000000000000000000000000000000000000000000
χ46444-2-24-2-4-2-24-2400-2-24-2-2-24-222-42-4000000000000022-420000000022−22−2−2−2−22222−2−22222−22−22220000000000000000000000000000000
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χ48444-2-2-244-2-2-244-4-4-2-2-24-2-2-24-2-2-244-4-4222222-4-4000-2-2-24222222-4-40000000000000000000000000000000000000000000000000
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χ50444-2-2-24-4-2-2-24400-2-2-24-2-2-24222-4-40000000000000222-400000000−2222222222−22−22−2−2−2−2−2−222220000000000000000000000000000000
χ5144-24444-44444-200-2-2-2-2-2-2-2-2-4-4-4-4200000000000002222000000000000000000000000000000000000004-4-2-2002000000000000
χ5244-24444-44444-200-2-2-2-2-2-2-2-2-4-4-4-420000000000000222200000000000000000000000000000000000000-442200-2000000000000
χ5344-24-2-2-244-2-2-2-244-2111-21114-2-2-2-2-2-244-2-2-2-2-2-24-2-2-2111-2-21111110000000000000000004-2-2-2-2-21111110000000000000000000
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χ5544-24-2-2-244-2-2-2-2-4-4-2111-21114-2-2-2-222-4-42222220−2i32i3-211122-1-1-1-1-1-10000000000000000000000−2i32i3i3−i3i3−i3i3−i30000000000000000000
χ5644-24-2-2-244-2-2-2-2-4-4-2111-21114-2-2-2-222-4-422222202i3−2i3-211122-1-1-1-1-1-100000000000000000000002i3−2i3−i3i3−i3i3−i3i30000000000000000000
χ5744-2-24-2-24-24-2-2-2441-2111-211-24-2-2-2-2-2-2-244-2-2-2-24-2-21-21111-2-21111000000000000000000-24-2-211-2-211110000000000000000000
χ5844-2-24-2-24-24-2-2-2441-2111-211-24-2-2-2-2-2-2-244-2-2-2-2-4221-21111-2-211110000000000000000002-422-1-122-1-1-1-10000000000000000000
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χ6144-2-2-24-24-2-24-2-24411-2111-21-2-24-2-2-2-2-2-2-2-244-2-24-2-211-211111-2-211000000000000000000-2-24-21111-2-2110000000000000000000
χ6244-2-2-24-24-2-24-2-24411-2111-21-2-24-2-2-2-2-2-2-2-244-2-2-42211-211111-2-21100000000000000000022-42-1-1-1-122-1-10000000000000000000
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χ6644-2-2-2-244-2-2-24-244111-2111-2-2-2-24-2-2-2-2-2-2-2-2-244-422111-2111111-2-2000000000000000000222-4-1-1-1-1-1-1220000000000000000000
χ6744-2-2-2-244-2-2-24-2-4-4111-2111-2-2-2-24-222222222-4-40−2i32i3111-2-1-1-1-1-1-1220000000000000000000000i3−i3i3−i3i3−i3−2i32i30000000000000000000
χ6844-2-2-2-244-2-2-24-2-4-4111-2111-2-2-2-24-222222222-4-402i3−2i3111-2-1-1-1-1-1-1220000000000000000000000−i3i3−i3i3−i3i32i3−2i30000000000000000000
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χ794-44-2-24-2022-42-422−22-2-24-222-420000022−22−22−2222−22−220000000−22−2222−22−2200−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ470000000000000000000000000000000
χ804-44-2-24-2022-42-422−22-2-24-222-420000022−22−22−2222−22−220000000−22−2222−22−2200ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ470000000000000000000000000000000
χ814-44-2-24-2022-42-4−2222-2-24-222-4200000−22222−22−2−22222−200000002−22−2−22222−200−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ430000000000000000000000000000000
χ824-44-2-24-2022-42-4−2222-2-24-222-4200000−22222−22−2−22222−200000002−22−2−22222−200ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ430000000000000000000000000000000
χ834-44-2-2-240222-4-422−22-2-2-24222-40000022−22−22−22−2222−220000000−22−22−2222−2200−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47000000000000000000000000000000000
χ844-44-2-2-240222-4-422−22-2-2-24222-40000022−22−22−22−2222−220000000−22−22−2222−2200ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47000000000000000000000000000000000
χ854-44-2-2-240222-4-4−2222-2-2-24222-400000−22222−22−22−2−222200000002−22−22−2−222200−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000000000000000
χ864-44-2-2-240222-4-4−2222-2-2-24222-400000−22222−22−22−2−222200000002−22−22−2−222200ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000000000000000
χ874-4-244440-4-4-4-4222−22-2-2-2-2222200000−2222−2222−2222−2222−220000000−22−22−22−2200000000000000000000000000000000−2i32i3000i6−i60000000000
χ884-4-244440-4-4-4-4222−22-2-2-2-2222200000−2222−2222−2222−2222−220000000−22−22−22−22000000000000000000000000000000002i3−2i3000−i6i60000000000
χ894-4-244440-4-4-4-42−2222-2-2-2-22222000002−2−2222−2222−2222−222200000002−22−22−22−200000000000000000000000000000000−2i32i3000−i6i60000000000
χ904-4-244440-4-4-4-42−2222-2-2-2-22222000002−2−2222−2222−2222−222200000002−22−22−22−2000000000000000000000000000000002i3−2i3000i6−i60000000000
χ9188-48-4-4-4-88-4-4-4-400-4222-4222-8444400000000000004-2-2-2000000000000000000000000000000000000000000000000000000000
χ9288-4-48-4-4-8-48-4-4-4002-4222-4224-84440000000000000-24-2-2000000000000000000000000000000000000000000000000000000000
χ9388-4-4-48-4-8-4-48-4-40022-4222-4244-8440000000000000-2-24-2000000000000000000000000000000000000000000000000000000000
χ9488-4-4-4-48-8-4-4-48-400222-4222-4444-840000000000000-2-2-24000000000000000000000000000000000000000000000000000000000
χ958-8-48-4-4-40-8444442−42-42224-2-2-200000−222242−42−2222−2222−22220000000−22222−22−22−20000000000000000000000000000000000000000000000000
χ968-8-48-4-4-40-84444−4242-42224-2-2-20000022−22−424222−2222−2222−22000000022−22−22−22−220000000000000000000000000000000000000000000000000
χ978-8-4-48-4-404-844442−422-422-24-2-200000−2222−222242−42−2222−222200000002−2−22222−22−20000000000000000000000000000000000000000000000000
χ988-8-4-48-4-404-8444−42422-422-24-2-20000022−2222−22−424222−2222−220000000−2222−22−22−220000000000000000000000000000000000000000000000000
χ998-8-4-4-48-4044-84442−4222-42-2-24-200000−2222−2222−222242−42−222200000002−22−2−22222−20000000000000000000000000000000000000000000000000
χ1008-8-4-4-48-4044-844−424222-42-2-24-20000022−2222−2222−22−424222−220000000−22−2222−22−220000000000000000000000000000000000000000000000000
χ1018-8-4-4-4-480444-8442−42222-4-2-2-2400000−2222−2222−2222−222242−4200000002−22−22−2−22220000000000000000000000000000000000000000000000000
χ1028-8-4-4-4-480444-84−4242222-4-2-2-240000022−2222−2222−2222−22−42420000000−22−22−2222−220000000000000000000000000000000000000000000000000

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