Finite Group Databasebeta

← Group #13135918

Character table — Group #13135918

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111111222444444444444444666666666666666688812121212121212121212121212121212121212121212121224242424242424242424242424242424727272727272727272727272
order1233662662244466661212121212123333666666666666266121212121212121212121212121212121212121212121212666666666666666644441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1111111-1-1-1-11111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ4111111111111-1-1111111-1-1-1-11111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111-1-1111-1-1-1-11111111111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i
χ6111111111-1-1111-1-1-1-11111111111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ7111111111-1-11-1-1-1-1-1-111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−iiii−i−i−i−iii
χ8111111111-1-11-1-1-1-1-1-111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−iii−i−i−iiiii−i−i
χ92222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ10222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ11222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ12222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ13222222222222-2-2222222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-222-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111000000000000
χ14222222222222-2-2222222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-1-122-1-1-1-111-2-21111000000000000
χ15222222222222-2-2222222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-122-1-11111-2-211000000000000
χ16222222222222-2-2222222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-122111111-2-2000000000000
χ172222222222-2-20022-2-2-2-200002222222222222222000-2-2-2-2-2-2-2-200000000000000002-22-22-22-200000000000000000000
χ182222222222-2-20022-2-2-2-200002-1-1-1222-1-1-1-1-1-1-1-1-1000-2-21111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-2-11-11-1100−i3i3−i3i3−i3i3000000000000
χ192222222222-2-20022-2-2-2-200002-1-1-1222-1-1-1-1-1-1-1-1-1000-2-21111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-2-11-11-1100i3−i3i3−i3i3−i3000000000000
χ202222222222-2-20022-2-2-2-20000-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-112-2-11-11−i3i300−i3i3i3−i3000000000000
χ212222222222-2-20022-2-2-2-20000-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-112-2-11-11i3−i300i3−i3−i3i3000000000000
χ222222222222-2-20022-2-2-2-20000-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-11-112-2-11−i3i3i3−i300−i3i3000000000000
χ232222222222-2-20022-2-2-2-20000-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-11-112-2-11i3−i3−i3i300i3−i3000000000000
χ242222222222-2-20022-2-2-2-20000-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-11-11-112-2−i3i3−i3i3i3−i300000000000000
χ252222222222-2-20022-2-2-2-20000-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-11-11-112-2i3−i3i3−i3−i3i300000000000000
χ26222222222-22-200-2-222-2-200002222222222222222000-2-2-2-2-2-2-2-20000000000000000-22-22-22-2200000000000000000000
χ27222222222-22-200-2-222-2-200002-1-1-1222-1-1-1-1-1-1-1-1-1000-2-21111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-221-11-11-100i3−i3i3−i3i3−i3000000000000
χ28222222222-22-200-2-222-2-200002-1-1-1222-1-1-1-1-1-1-1-1-1000-2-21111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-221-11-11-100−i3i3−i3i3−i3i3000000000000
χ29222222222-22-200-2-222-2-20000-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-1-221-11-1i3−i300i3−i3−i3i3000000000000
χ30222222222-22-200-2-222-2-20000-12-1-1-1-1-1222-1-1-1-1-1-100011-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i31-1-221-11-1−i3i300−i3i3i3−i3000000000000
χ31222222222-22-200-2-222-2-20000-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i31-11-1-221-1i3−i3−i3i300i3−i3000000000000
χ32222222222-22-200-2-222-2-20000-1-12-1-1-1-1-1-1-1222-1-1-10001111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i31-11-1-221-1−i3i3i3−i300−i3i3000000000000
χ33222222222-22-200-2-222-2-20000-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300001-11-11-1-22i3−i3i3−i3−i3i300000000000000
χ34222222222-22-200-2-222-2-20000-1-1-12-1-1-1-1-1-1-1-1-1222000111111-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300001-11-11-1-22−i3i3−i3i3i3−i300000000000000
χ35222222222-2-2222-2-2-2-22222222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ36222222222-2-2222-2-2-2-2222222-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111000000000000
χ37222222222-2-2222-2-2-2-2222222-1-12-1-1-1-1-1-1-1222-1-1-1-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211000000000000
χ38222222222-2-2222-2-2-2-2222222-1-1-12-1-1-1-1-1-1-1-1-1222-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2000000000000
χ39222222222-2-22-2-2-2-2-2-222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-1000000000000
χ40222222222-2-22-2-2-2-2-2-222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1222-1-122-1-1-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-1000000000000
χ41222222222-2-22-2-2-2-2-2-222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1222-1-1-1-122-1-111111111-2-2-2-211111111-2-211-1-1-1-122-1-1000000000000
χ42222222222-2-22-2-2-2-2-2-222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122111111111111-2-2-2-2111111-2-2-1-1-1-1-1-122000000000000
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+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
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+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ4733−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ4833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
χ4933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-3-33-3-33+3i323−3i323+3i323−3i32−3−3i32−3+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+3i32-3-33-3-33+3i323−3i323+3i323−3i32−3−3i32−3+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+3i32000000000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
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+3i320000000000000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ5533−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ5633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000−ii−ii−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
χ5733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000i−i−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ5833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-3-33-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i3200000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000−iii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ59444444-4-4-400000000000000044444-4-44-4-44-4-44-4-40000000000000000000000000000000000000000000000000000000
χ60444444-4-4-40000000000000004-2-2-24-4-4-222-222-22200000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ61444444-4-4-40000000000000004-2-2-24-4-4-222-222-222000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000
χ62444444-4-4-4000000000000000-24-2-2-2224-4-4-222-222000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000
χ63444444-4-4-4000000000000000-24-2-2-2224-4-4-222-2220002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000
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χ65444444-4-4-4000000000000000-2-24-2-222-2224-4-4-2220002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000000000000000
χ66444444-4-4-4000000000000000-2-2-24-222-222-2224-4-4000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ67444444-4-4-4000000000000000-2-2-24-222-222-2224-4-40002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ684-444-4-40000002-20000002-22-24444-400-400-400-400000000000002-22-22-22-22-22-22-22-20000000000000000000000000000
χ694-444-4-40000002-20000002-22-24-2-2-2-4002−2i32i32−2i32i32−2i32i3000000000002-22-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i30000000000000000000000000000
χ704-444-4-40000002-20000002-22-24-2-2-2-40022i3−2i322i3−2i322i3−2i3000000000002-22-2−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i30000000000000000000000000000
χ714-444-4-40000002-20000002-22-2-24-2-22−2i32i3-4002−2i32i322i3−2i300000000000−1−i31+i3−1+i31−i32-22-2−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i30000000000000000000000000000
χ724-444-4-40000002-20000002-22-2-24-2-222i3−2i3-40022i3−2i32−2i32i300000000000−1+i31−i3−1−i31+i32-22-2−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i30000000000000000000000000000
χ734-444-4-40000002-20000002-22-2-2-24-22−2i32i322i3−2i3-4002−2i32i300000000000−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i32-22-2−1−i31+i3−1+i31−i30000000000000000000000000000
χ744-444-4-40000002-20000002-22-2-2-24-222i3−2i32−2i32i3-40022i3−2i300000000000−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i32-22-2−1+i31−i3−1−i31+i30000000000000000000000000000
χ754-444-4-40000002-20000002-22-2-2-2-242−2i32i32−2i32i322i3−2i3-40000000000000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i32-22-20000000000000000000000000000
χ764-444-4-40000002-20000002-22-2-2-2-2422i3−2i322i3−2i32−2i32i3-40000000000000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i32-22-20000000000000000000000000000
χ774-444-4-4000000-22000000-22-224444-400-400-400-40000000000000-22-22-22-22-22-22-22-220000000000000000000000000000
χ784-444-4-4000000-22000000-22-224-2-2-2-4002−2i32i32−2i32i32−2i32i300000000000-22-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i30000000000000000000000000000
χ794-444-4-4000000-22000000-22-224-2-2-2-40022i3−2i322i3−2i322i3−2i300000000000-22-221−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i30000000000000000000000000000
χ804-444-4-4000000-22000000-22-22-24-2-22−2i32i3-4002−2i32i322i3−2i3000000000001+i3−1−i31−i3−1+i3-22-221+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i30000000000000000000000000000
χ814-444-4-4000000-22000000-22-22-24-2-222i3−2i3-40022i3−2i32−2i32i3000000000001−i3−1+i31+i3−1−i3-22-221−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i30000000000000000000000000000
χ824-444-4-4000000-22000000-22-22-2-24-22−2i32i322i3−2i3-4002−2i32i3000000000001+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-22-221+i3−1−i31−i3−1+i30000000000000000000000000000
χ834-444-4-4000000-22000000-22-22-2-24-222i3−2i32−2i32i3-40022i3−2i3000000000001−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-221−i3−1+i31+i3−1−i30000000000000000000000000000
χ844-444-4-4000000-22000000-22-22-2-2-242−2i32i32−2i32i322i3−2i3-400000000000001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-22-220000000000000000000000000000
χ854-444-4-4000000-22000000-22-22-2-2-2422i3−2i322i3−2i32−2i32i3-400000000000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-22-220000000000000000000000000000
χ8666−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i36-6-600−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ8766−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-66-6003+3i33−3i3−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ8866−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i36-6-600−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ8966−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-66-6003−3i33+3i3−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
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+6i36−6i30000006-6000000−3−3i33+3i3−3+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ9312-12−6−6i3−6+6i36+6i36−6i3000000-660000003+3i3−3−3i33−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12−6+6i3−6−6i36−6i36+6i30000006-6000000−3+3i33−3i3−3−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12−6+6i3−6−6i36−6i36+6i3000000-660000003−3i3−3+3i33+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000

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