Finite Group Databasebeta

← Group #13135923

Character table — Group #13135923

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111111222444444444444444666666666666666688812121212121212121212121212121212121212121212121224242424242424242424242424242424727272727272727272727272
order12336626644444121212121212121212123333666666666666412121212121212121212121212121212121212121212121212121212121212121212121212121212121288882424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1111111-1-1-1-11111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i
χ4111111111111-1-1111111-1-1-1-11111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii
χ51111111111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ61111111111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i
χ92222222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ10222222222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ11222222222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ12222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ13222222222222-2-2222222-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ14222222222222-2-2222222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000
χ15222222222222-2-2222222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000
χ16222222222222-2-2222222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122111111-2-2111111-2-2000000000000
χ172222222222-2-22222-2-2-2-222222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111000000000000
χ182222222222-2-22222-2-2-2-22222-12-1-1-1-122-1-1-1-1-12-1-1-2-2-21111-2-2-2-211111111-1-122-1-1-1-1-1-122-1-1-1-111-2-21111000000000000
χ192222222222-2-22222-2-2-2-22222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-211111111-2-2-2-21111-1-1-1-122-1-1-1-1-1-122-1-11111-2-211000000000000
χ202222222222-2-22222-2-2-2-22222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2111111111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2000000000000
χ212222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-211111111111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000000000
χ222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12221111-2-2-2-211111111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1000000000000
χ232222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-122211111111-2-2-2-21111-1-1-1-122-1-11111-2-211-1-1-1-122-1-1000000000000
χ242222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12222111111111111-2-2-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122000000000000
χ25222222222-2002-2-2-2000022-2-222222222222222220000000000000000000-2-2-2-2-2-2-2-22-22-22-22-200000000000000000000
χ26222222222-2002-2-2-2000022-2-22-1-1-122-1-1-1-1-1-12-1-1-10000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-21111112-2-11-11-1100−i3i3−i3i3−i3i3000000000000
χ27222222222-2002-2-2-2000022-2-22-1-1-122-1-1-1-1-1-12-1-1-10000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-21111112-2-11-11-1100i3−i3i3−i3i3−i3000000000000
χ28222222222-2002-2-2-2000022-2-2-12-1-1-1-122-1-1-1-1-12-1-1000−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i311-2-21111-112-2-11-11−i3i300−i3i3i3−i3000000000000
χ29222222222-2002-2-2-2000022-2-2-12-1-1-1-122-1-1-1-1-12-1-1000i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i311-2-21111-112-2-11-11i3−i300i3−i3−i3i3000000000000
χ30222222222-2002-2-2-2000022-2-2-1-12-1-1-1-1-122-1-1-1-12-1000−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i31111-2-211-11-112-2-11−i3i3i3−i300−i3i3000000000000
χ31222222222-2002-2-2-2000022-2-2-1-12-1-1-1-1-122-1-1-1-12-1000i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i31111-2-211-11-112-2-11i3−i3−i3i300i3−i3000000000000
χ32222222222-2002-2-2-2000022-2-2-1-1-12-1-1-1-1-1-122-1-1-12000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000111111-2-2-11-11-112-2−i3i3−i3i3i3−i300000000000000
χ33222222222-2002-2-2-2000022-2-2-1-1-12-1-1-1-1-1-122-1-1-12000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000111111-2-2-11-11-112-2i3−i3i3−i3−i3i300000000000000
χ34222222222-200-22-2-20000-2-22222222222222222220000000000000000000-2-2-2-2-2-2-2-2-22-22-22-2200000000000000000000
χ35222222222-200-22-2-20000-2-2222-1-1-122-1-1-1-1-1-12-1-1-10000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2111111-221-11-11-100i3−i3i3−i3i3−i3000000000000
χ36222222222-200-22-2-20000-2-2222-1-1-122-1-1-1-1-1-12-1-1-10000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2111111-221-11-11-100−i3i3−i3i3−i3i3000000000000
χ37222222222-200-22-2-20000-2-222-12-1-1-1-122-1-1-1-1-12-1-1000−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i311-2-211111-1-221-11-1i3−i300i3−i3−i3i3000000000000
χ38222222222-200-22-2-20000-2-222-12-1-1-1-122-1-1-1-1-12-1-1000i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i311-2-211111-1-221-11-1−i3i300−i3i3i3−i3000000000000
χ39222222222-200-22-2-20000-2-222-1-12-1-1-1-1-122-1-1-1-12-1000−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i31111-2-2111-11-1-221-1i3−i3−i3i300i3−i3000000000000
χ40222222222-200-22-2-20000-2-222-1-12-1-1-1-1-122-1-1-1-12-1000i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i31111-2-2111-11-1-221-1−i3i3i3−i300−i3i3000000000000
χ41222222222-200-22-2-20000-2-222-1-1-12-1-1-1-1-1-122-1-1-12000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000111111-2-21-11-11-1-22i3−i3i3−i3−i3i300000000000000
χ42222222222-200-22-2-20000-2-222-1-1-12-1-1-1-1-1-122-1-1-12000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000111111-2-21-11-11-1-22−i3i3−i3i3i3−i300000000000000
χ4333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ4433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3233333−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ4533−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32333-3-3−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323−3i323+3i323−3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000ii−i−iζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ4633−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32333-3-3−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323−3i323+3i323−3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000−i−iii−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ4733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3-333−3−3i32−3+3i323+3i323+3i323−3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i3200000000000000000000000000000000000000001-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ4833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3-333−3−3i32−3+3i323+3i323+3i323−3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ4933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3-3-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323+3i323−3i323+3i323−3i3200000000000000003−3−3i32−3+3i320000000000000000000000000000000000000000i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ5033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-3-3-3-3−3−3i32−3+3i323+3i323+3i323−3i323−3i323+3i323−3i323+3i323−3i3200000000000000003−3−3i32−3+3i320000000000000000000000000000000000000000−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ5133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ5233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3233333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ5333−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32333-3-3−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323+3i323−3i323+3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000ii−i−iζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ5433−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32333-3-3−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323+3i323−3i323+3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000−i−iii−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ5533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3-333−3+3i32−3−3i323−3i323−3i323+3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i3200000000000000000000000000000000000000001-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ5633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3-333−3+3i32−3−3i323−3i323−3i323+3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3-3-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323−3i323+3i323−3i323+3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000i−i−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ5833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-3-3-3-3−3+3i32−3−3i323−3i323−3i323+3i323+3i323−3i323+3i323−3i323+3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000−iii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ59444444-4-4-40000000000000004444-4-4-4-4-4-4-4-444440000000000000000000000000000000000000000000000000000000
χ60444444-4-4-40000000000000004-2-2-2-4-42222224-2-2-2000000000000000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000
χ61444444-4-4-40000000000000004-2-2-2-4-42222224-2-2-20000000000000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000
χ62444444-4-4-4000000000000000-24-2-222-4-42222-24-2-20000000000000000000−2i32i300−2i32i32i3−2i30000000000000000000000000000
χ63444444-4-4-4000000000000000-24-2-222-4-42222-24-2-200000000000000000002i3−2i3002i3−2i3−2i32i30000000000000000000000000000
χ64444444-4-4-4000000000000000-2-24-22222-4-422-2-24-20000000000000000000−2i32i32i3−2i300−2i32i30000000000000000000000000000
χ65444444-4-4-4000000000000000-2-24-22222-4-422-2-24-200000000000000000002i3−2i3−2i32i3002i3−2i30000000000000000000000000000
χ66444444-4-4-4000000000000000-2-2-24222222-4-4-2-2-240000000000000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000
χ67444444-4-4-4000000000000000-2-2-24222222-4-4-2-2-2400000000000000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000
χ684-444-4-400002-200002-22-20000444400000000-4-4-4-40002-22-22-22-22-22-22-22-2000000000000000000000000000000000000
χ694-444-4-400002-200002-22-200004-2-2-200−2i32i3−2i32i3−2i32i3-42220002-22-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3000000000000000000000000000000000000
χ704-444-4-400002-200002-22-200004-2-2-2002i3−2i32i3−2i32i3−2i3-42220002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3000000000000000000000000000000000000
χ714-444-4-400002-200002-22-20000-24-2-2−2i32i300−2i32i32i3−2i32-422000−1−i31+i3−1+i31−i32-22-2−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3000000000000000000000000000000000000
χ724-444-4-400002-200002-22-20000-24-2-22i3−2i3002i3−2i3−2i32i32-422000−1+i31−i3−1−i31+i32-22-2−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3000000000000000000000000000000000000
χ734-444-4-400002-200002-22-20000-2-24-2−2i32i32i3−2i300−2i32i322-42000−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i32-22-2−1−i31+i3−1+i31−i3000000000000000000000000000000000000
χ744-444-4-400002-200002-22-20000-2-24-22i3−2i3−2i32i3002i3−2i322-42000−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i32-22-2−1+i31−i3−1−i31+i3000000000000000000000000000000000000
χ754-444-4-400002-200002-22-20000-2-2-24−2i32i3−2i32i32i3−2i300222-4000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i32-22-2000000000000000000000000000000000000
χ764-444-4-400002-200002-22-20000-2-2-242i3−2i32i3−2i3−2i32i300222-4000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i32-22-2000000000000000000000000000000000000
χ774-444-4-40000-220000-22-220000444400000000-4-4-4-4000-22-22-22-22-22-22-22-22000000000000000000000000000000000000
χ784-444-4-40000-220000-22-2200004-2-2-200−2i32i3−2i32i3−2i32i3-4222000-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3000000000000000000000000000000000000
χ794-444-4-40000-220000-22-2200004-2-2-2002i3−2i32i3−2i32i3−2i3-4222000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3000000000000000000000000000000000000
χ804-444-4-40000-220000-22-220000-24-2-2−2i32i300−2i32i32i3−2i32-4220001+i3−1−i31−i3−1+i3-22-221+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3000000000000000000000000000000000000
χ814-444-4-40000-220000-22-220000-24-2-22i3−2i3002i3−2i3−2i32i32-4220001−i3−1+i31+i3−1−i3-22-221−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3000000000000000000000000000000000000
χ824-444-4-40000-220000-22-220000-2-24-2−2i32i32i3−2i300−2i32i322-420001+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-22-221+i3−1−i31−i3−1+i3000000000000000000000000000000000000
χ834-444-4-40000-220000-22-220000-2-24-22i3−2i3−2i32i3002i3−2i322-420001−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-221−i3−1+i31+i3−1−i3000000000000000000000000000000000000
χ844-444-4-40000-220000-22-220000-2-2-24−2i32i3−2i32i32i3−2i300222-40001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-22-22000000000000000000000000000000000000
χ854-444-4-40000-220000-22-220000-2-2-242i3−2i32i3−2i3−2i32i300222-40001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-22000000000000000000000000000000000000
χ8666−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-6006-63+3i33−3i30000−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8766−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-600-663+3i33−3i300003+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8866−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-6006-63−3i33+3i30000−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8966−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-600-663−3i33+3i300003−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ901212−6−6i3−6+6i3−6−6i3−6+6i3-126+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ911212−6+6i3−6−6i3−6+6i3−6−6i3-126−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-12−6−6i3−6+6i36+6i36−6i300006-60000−3−3i33+3i3−3+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-12−6−6i3−6+6i36+6i36−6i30000-6600003+3i3−3−3i33−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12−6+6i3−6−6i36−6i36+6i300006-60000−3+3i33−3i3−3−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12−6+6i3−6−6i36−6i36+6i30000-6600003−3i3−3+3i33+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.