Finite Group Databasebeta

← Group #13135907

Character table — Group #13135907

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size111111222444444444444444666666666666666688812121212121212121212121212121212121212121212121224242424242424242424242424242424727272727272727272727272
order1233662662244466661212121212123333666666666666412126666666612121212121212121212121212121212666612121212121212121212121244881212121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111-1-111111-1-1-1-1111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ411111111111-1-111111-1-1-1-1111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ51111111111-111-111-1-11111-1-11111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i
χ61111111111-111-111-1-11111-1-11111111111111111-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−i
χ92222222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-1000000000000
χ10222222222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-12-1-1000000000000
χ11222222222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1-122-1-1-1-12-1000000000000
χ12222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-12000000000000
χ1322222222222-2-222222-2-2-2-2222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1-2-21111112-1-1-1000000000000
χ1422222222222-2-222222-2-2-2-222-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-1-122-1-1-1-11111-2-2-2-211111111-12-1-111-2-21111-12-1-1000000000000
χ1522222222222-2-222222-2-2-2-222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-1-1-1-122-1-111111111-2-2-2-21111-1-12-11111-2-211-1-12-1000000000000
χ1622222222222-2-222222-2-2-2-222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12111111-2-2-1-1-12000000000000
χ172222222222-222-222-2-22222-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2-2111111-2111000000000000
χ182222222222-222-222-2-22222-2-2-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11-21111-2-211111-211000000000000
χ192222222222-222-222-2-22222-2-2-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111-211111-2-21111-21000000000000
χ202222222222-222-222-2-22222-2-2-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111-2111111-2-2111-2000000000000
χ212222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122222-1-1-1-1-1-1-2-2-2-2111111111111-211122-1-1-1-1-1-1-2111000000000000
χ222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1222-1-122-1-1-1-11111-2-2-2-2111111111-211-1-122-1-1-1-11-211000000000000
χ232222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1222-1-1-1-122-1-111111111-2-2-2-2111111-21-1-1-1-122-1-111-21000000000000
χ242222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-122111111111111-2-2-2-2111-2-1-1-1-1-1-122111-2000000000000
χ25222222222-2200-2-2-2220000-2-22222222222222222000-2-2-2-2-2-2-2-20000000000000000222200000000-2-2-2-2000000000000
χ26222222222-2200-2-2-2220000-2-22-1-1-122-1-1-1-1-1-12-1-1-1000-2-21111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i32-1-1-100−i3i3−i3i3−i3i3-2111000000000000
χ27222222222-2200-2-2-2220000-2-22-1-1-122-1-1-1-1-1-12-1-1-1000-2-21111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i32-1-1-100i3−i3i3−i3i3−i3-2111000000000000
χ28222222222-2200-2-2-2220000-2-2-12-1-1-1-122-1-1-1-1-12-1-100011-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3-12-1-1−i3i300−i3i3i3−i31-211000000000000
χ29222222222-2200-2-2-2220000-2-2-12-1-1-1-122-1-1-1-1-12-1-100011-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3-12-1-1i3−i300i3−i3−i3i31-211000000000000
χ30222222222-2200-2-2-2220000-2-2-1-12-1-1-1-1-122-1-1-1-12-10001111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3-1-12-1−i3i3i3−i300−i3i311-21000000000000
χ31222222222-2200-2-2-2220000-2-2-1-12-1-1-1-1-122-1-1-1-12-10001111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3-1-12-1i3−i3−i3i300i3−i311-21000000000000
χ32222222222-2200-2-2-2220000-2-2-1-1-12-1-1-1-1-1-122-1-1-12000111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-1-1-12−i3i3−i3i3i3−i300111-2000000000000
χ33222222222-2200-2-2-2220000-2-2-1-1-12-1-1-1-1-1-122-1-1-12000111111-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-1-1-12i3−i3i3−i3−i3i300111-2000000000000
χ34222222222-2-2002-2-2-2-20000222222222222222222000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000002222000000000000
χ35222222222-2-2002-2-2-2-20000222-1-1-122-1-1-1-1-1-12-1-1-1000-2-21111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-211100i3−i3i3−i3i3−i32-1-1-1000000000000
χ36222222222-2-2002-2-2-2-20000222-1-1-122-1-1-1-1-1-12-1-1-1000-2-21111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-211100−i3i3−i3i3−i3i32-1-1-1000000000000
χ37222222222-2-2002-2-2-2-2000022-12-1-1-1-122-1-1-1-1-12-1-100011-2-21111−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i31-211i3−i300i3−i3−i3i3-12-1-1000000000000
χ38222222222-2-2002-2-2-2-2000022-12-1-1-1-122-1-1-1-1-12-1-100011-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i31-211−i3i300−i3i3i3−i3-12-1-1000000000000
χ39222222222-2-2002-2-2-2-2000022-1-12-1-1-1-1-122-1-1-1-12-10001111-2-211−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i311-21i3−i3−i3i300i3−i3-1-12-1000000000000
χ40222222222-2-2002-2-2-2-2000022-1-12-1-1-1-1-122-1-1-1-12-10001111-2-211i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i311-21−i3i3i3−i300−i3i3-1-12-1000000000000
χ41222222222-2-2002-2-2-2-2000022-1-1-12-1-1-1-1-1-122-1-1-12000111111-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000111-2i3−i3i3−i3−i3i300-1-1-12000000000000
χ42222222222-2-2002-2-2-2-2000022-1-1-12-1-1-1-1-1-122-1-1-12000111111-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000111-2−i3i3−i3i3i3−i300-1-1-12000000000000
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+3i3233-3-33−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32−3−3i32−3+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+3i3233-3-33−3−3i32−3+3i32−3−3i32−3+3i323+3i323+3i323−3i323−3i32−3−3i32−3+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+3i323-333-3−3−3i32−3+3i323+3i323−3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323−3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000i−ii−iζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7
χ4833−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i323-333-3−3−3i32−3+3i323+3i323−3i32−3−3i32−3−3i32−3+3i32−3+3i323+3i323−3i320000000000000000-33+3i323−3i320000000000000000000000000000000000000000−ii−ii−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7
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+3i32−3−3i3233-3-33−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i32−3+3i32−3−3i320000000000000000-33−3i323+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+3i32−3−3i3233-3-33−3+3i32−3−3i32−3+3i32−3−3i323−3i323−3i323+3i323+3i32−3+3i32−3−3i320000000000000000-33−3i323+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+3i32−3−3i323-333-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323+3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000i−ii−iζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11
χ5633−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i323-333-3−3+3i32−3−3i323−3i323+3i32−3+3i32−3+3i32−3−3i32−3−3i323−3i323+3i320000000000000000-33−3i323+3i320000000000000000000000000000000000000000−ii−ii−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
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
χ60444444-4-4-40000000000000004-2-2-2-4-42222224-2-2-200000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000
χ61444444-4-4-40000000000000004-2-2-2-4-42222224-2-2-2000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000
χ62444444-4-4-4000000000000000-24-2-222-4-42222-24-2-2000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000
χ63444444-4-4-4000000000000000-24-2-222-4-42222-24-2-20002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000
χ64444444-4-4-4000000000000000-2-24-22222-4-422-2-24-2000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000000000000
χ65444444-4-4-4000000000000000-2-24-22222-4-422-2-24-20002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000000000000000
χ66444444-4-4-4000000000000000-2-2-24222222-4-4-2-2-24000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ67444444-4-4-4000000000000000-2-2-24222222-4-4-2-2-240002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ684-444-4-4000002i−2i000002i−2i2i−2i00444400000000-4-4-4-4000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ694-444-4-4000002i−2i000002i−2i2i−2i004-2-2-200−2i32i3−2i32i3−2i32i3-4222000000000002i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000000000
χ704-444-4-4000002i−2i000002i−2i2i−2i004-2-2-2002i3−2i32i3−2i32i3−2i3-4222000000000002i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000000000
χ714-444-4-4000002i−2i000002i−2i2i−2i00-24-2-2−2i32i300−2i32i32i3−2i32-422000000000002ζ7−2ζ72ζ11−2ζ112i−2i2i−2i2ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112ζ7−2ζ70000000000000000000000000000
χ724-444-4-4000002i−2i000002i−2i2i−2i00-24-2-22i3−2i3002i3−2i3−2i32i32-422000000000002ζ11−2ζ112ζ7−2ζ72i−2i2i−2i2ζ11−2ζ112ζ7−2ζ72ζ7−2ζ72ζ11−2ζ110000000000000000000000000000
χ734-444-4-4000002i−2i000002i−2i2i−2i00-2-24-2−2i32i32i3−2i300−2i32i322-42000000000002ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72i−2i2i−2i2ζ7−2ζ72ζ11−2ζ110000000000000000000000000000
χ744-444-4-4000002i−2i000002i−2i2i−2i00-2-24-22i3−2i3−2i32i3002i3−2i322-42000000000002ζ11−2ζ112ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112i−2i2i−2i2ζ11−2ζ112ζ7−2ζ70000000000000000000000000000
χ754-444-4-4000002i−2i000002i−2i2i−2i00-2-2-24−2i32i3−2i32i32i3−2i300222-4000000000002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72i−2i2i−2i0000000000000000000000000000
χ764-444-4-4000002i−2i000002i−2i2i−2i00-2-2-242i3−2i32i3−2i3−2i32i300222-4000000000002ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112i−2i2i−2i0000000000000000000000000000
χ774-444-4-400000−2i2i00000−2i2i−2i2i00444400000000-4-4-4-400000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ784-444-4-400000−2i2i00000−2i2i−2i2i004-2-2-200−2i32i3−2i32i3−2i32i3-422200000000000−2i2i−2i2i−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000000000
χ794-444-4-400000−2i2i00000−2i2i−2i2i004-2-2-2002i3−2i32i3−2i32i3−2i3-422200000000000−2i2i−2i2i−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000000000
χ804-444-4-400000−2i2i00000−2i2i−2i2i00-24-2-2−2i32i300−2i32i32i3−2i32-42200000000000−2ζ72ζ7−2ζ112ζ11−2i2i−2i2i−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2ζ72ζ70000000000000000000000000000
χ814-444-4-400000−2i2i00000−2i2i−2i2i00-24-2-22i3−2i3002i3−2i3−2i32i32-42200000000000−2ζ112ζ11−2ζ72ζ7−2i2i−2i2i−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7−2ζ112ζ110000000000000000000000000000
χ824-444-4-400000−2i2i00000−2i2i−2i2i00-2-24-2−2i32i32i3−2i300−2i32i322-4200000000000−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2i2i−2i2i−2ζ72ζ7−2ζ112ζ110000000000000000000000000000
χ834-444-4-400000−2i2i00000−2i2i−2i2i00-2-24-22i3−2i3−2i32i3002i3−2i322-4200000000000−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2i2i−2i2i−2ζ112ζ11−2ζ72ζ70000000000000000000000000000
χ844-444-4-400000−2i2i00000−2i2i−2i2i00-2-2-24−2i32i3−2i32i32i3−2i300222-400000000000−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2i2i−2i2i0000000000000000000000000000
χ854-444-4-400000−2i2i00000−2i2i−2i2i00-2-2-242i3−2i32i3−2i3−2i32i300222-400000000000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2i2i−2i2i0000000000000000000000000000
χ8666−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-6600-63+3i33−3i3−3−3i3−3+3i300003+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8766−3−3i3−3+3i3−3−3i3−3+3i36−3−3i3−3+3i3-6-60063+3i33−3i33+3i33−3i30000−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8866−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-6600-63−3i33+3i3−3+3i3−3−3i300003−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ8966−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i3-6-60063−3i33+3i33−3i33+3i30000−3+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+6i36−6i3000006i−6i000006ζ11−6ζ116ζ7−6ζ70000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-12−6−6i3−6+6i36+6i36−6i300000−6i6i00000−6ζ116ζ11−6ζ76ζ70000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-12−6+6i3−6−6i36−6i36+6i3000006i−6i000006ζ7−6ζ76ζ11−6ζ110000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-12−6+6i3−6−6i36−6i36+6i300000−6i6i00000−6ζ76ζ7−6ζ116ζ110000000000000000000000000000000000000000000000000000000000000000000000000

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