Finite Group Databasebeta

← Group #11722454

Character table — Group #11722454

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size11111122299999912121212121212121818181818181818181818181818181111112229999991212121212121212181818181818181818181818181818
order12336626644121212123366666648888121224242424242424242266662664412121212666666664888812122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i
χ4111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii
χ5111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1
χ6111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111
χ7111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii
χ8111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i
χ92-222-2-20002i−2i2i2i−2i−2i22-2-200000000000000000002-222-2-20002i−2i2i2i−2i−2i22-2-20000000000000000000
χ102-222-2-2000−2i2i−2i−2i2i2i22-2-200000000000000000002-222-2-2000−2i2i−2i−2i2i2i22-2-20000000000000000000
χ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ1233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ1333−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1433−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ1533−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ1633−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ1133−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ1733−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ1833−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i3233−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ1933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ2033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ2133−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ2333−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ2433−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ733−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ2533−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2633−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i3233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ274444444440000001-21-211-2-20000000000000004444444440000001-21-211-2-2000000000000000
χ28444444444000000-21-21-2-211000000000000000444444444000000-21-21-2-211000000000000000
χ29444444-4-4-40000001-21-2-1-122000000000000000444444-4-4-40000001-21-2-1-122000000000000000
χ30444444-4-4-4000000-21-2122-1-1000000000000000444444-4-4-4000000-21-2122-1-1000000000000000
χ314-444-4-40000000001-2-123-3000000000000000004-444-4-40000000001-2-123-300000000000000000
χ324-444-4-40000000001-2-12-33000000000000000004-444-4-40000000001-2-12-3300000000000000000
χ334-444-4-4000000000-212-1003-30000000000000004-444-4-4000000000-212-1003-3000000000000000
χ344-444-4-4000000000-212-100-330000000000000004-444-4-4000000000-212-100-33000000000000000
χ356-6−3−3i3−3+3i33+3i33−3i30002i−2i2ζ112ζ7−2ζ11−2ζ7000000000000000000000006-6−3−3i3−3+3i33+3i33−3i30002i−2i2ζ112ζ7−2ζ11−2ζ700000000000000000000000
χ366-6−3−3i3−3+3i33+3i33−3i3000−2i2i−2ζ11−2ζ72ζ112ζ7000000000000000000000006-6−3−3i3−3+3i33+3i33−3i3000−2i2i−2ζ11−2ζ72ζ112ζ700000000000000000000000
χ376-6−3+3i3−3−3i33−3i33+3i30002i−2i2ζ72ζ11−2ζ7−2ζ11000000000000000000000006-6−3+3i3−3−3i33−3i33+3i30002i−2i2ζ72ζ11−2ζ7−2ζ1100000000000000000000000
χ386-6−3+3i3−3−3i33−3i33+3i3000−2i2i−2ζ7−2ζ112ζ72ζ11000000000000000000000006-6−3+3i3−3−3i33−3i33+3i3000−2i2i−2ζ7−2ζ112ζ72ζ1100000000000000000000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ40111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ41111111111-1-1-1-1-1-111111111-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11−i−iii11−i−i−i−iiiii
χ42111111111-1-1-1-1-1-111111111-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11ii−i−i11iiii−i−i−i−i
χ43111111-1-1-11111111111-1-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111-11-1111-1-111-1-111
χ44111111-1-1-11111111111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-11-11111-1-111-1-1
χ45111111-1-1-1-1-1-1-1-1-11111-1-1-1-11i−i−ii11ii−i−i−i−iii-1-1-1-1-1-1111111111-1-1-1-11111-1−iii−i-1-1−i−iiiii−i−i
χ46111111-1-1-1-1-1-1-1-1-11111-1-1-1-11−iii−i11−i−iiiii−i−i-1-1-1-1-1-1111111111-1-1-1-11111-1i−i−ii-1-1ii−i−i−i−iii
χ472-222-2-20002i−2i2i2i−2i−2i22-2-20000000000000000000-22-2-222000−2i2i−2i−2i2i2i-2-2220000000000000000000
χ482-222-2-2000−2i2i−2i−2i2i2i22-2-20000000000000000000-22-2-2220002i−2i2i2i−2i−2i-2-2220000000000000000000
χ4933−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001ii−i−i−1−i32−1+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32-1-11+i321−i321+i321−i3200000000-1−i−iii1+i321−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ5033−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i32000000001−i−iii−1−i32−1+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32-1-11+i321−i321+i321−i3200000000-1ii−i−i1+i321−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ5133−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-111111+i321−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i32000000001-1-1-1-1−1−i32−1+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ5233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i3200000000-1-1-1-1-11+i321−i321−i321+i321−i321+i321−i321+i321−i321+i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i320000000011111−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ5333−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1i−i−ii1+i321−i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i32000000001−iii−i−1−i32−1+i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ5433−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i3211−1−i32−1+i32−1−i32−1+i3200000000-1−iii−i1+i321−i32−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i32-1-11+i321−i321+i321−i32000000001i−i−ii−1−i32−1+i32ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ5533−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i320000000011-11-1−1−i32−1+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000-1-11-111+i321−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ5633−3−3i32−3+3i32−3−3i32−3+3i32-33+3i323−3i32-1-11+i321−i321+i321−i32000000001-11-11−1−i32−1+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-3-33+3i323−3i323+3i323−3i323−3−3i32−3+3i3211−1−i32−1+i32−1−i32−1+i3200000000-11-11-11+i321−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ5733−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001ii−i−i−1+i32−1−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32-1-11−i321+i321−i321+i3200000000-1−i−iii1−i321+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ5833−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i32000000001−i−iii−1+i32−1−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32-1-11−i321+i321−i321+i3200000000-1ii−i−i1−i321+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ5933−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-111111−i321+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i32000000001-1-1-1-1−1+i32−1−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ6033−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i3200000000-1-1-1-1-11−i321+i321+i321−i321+i321−i321+i321−i321+i321−i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i320000000011111−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ6133−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1i−i−ii1−i321+i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i32000000001−iii−i−1+i32−1−i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ6233−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i3211−1+i32−1−i32−1+i32−1−i3200000000-1−iii−i1−i321+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i32-1-11−i321+i321−i321+i32000000001i−i−ii−1+i32−1−i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ6333−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i320000000011-11-1−1+i32−1−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000-1-11-111−i321+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ6433−3+3i32−3−3i32−3+3i32−3−3i32-33−3i323+3i32-1-11−i321+i321−i321+i32000000001-11-11−1+i32−1−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-3-33−3i323+3i323−3i323+3i323−3+3i32−3−3i3211−1+i32−1−i32−1+i32−1−i3200000000-11-11-11−i321+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ654444444440000001-21-211-2-2000000000000000-4-4-4-4-4-4-4-4-4000000-12-12-1-122000000000000000
χ66444444444000000-21-21-2-211000000000000000-4-4-4-4-4-4-4-4-40000002-12-122-1-1000000000000000
χ67444444-4-4-40000001-21-2-1-122000000000000000-4-4-4-4-4-4444000000-12-1211-2-2000000000000000
χ68444444-4-4-4000000-21-2122-1-1000000000000000-4-4-4-4-4-44440000002-12-1-2-211000000000000000
χ694-444-4-40000000001-2-123-300000000000000000-44-4-444000000000-121-2-3300000000000000000
χ704-444-4-40000000001-2-12-3300000000000000000-44-4-444000000000-121-23-300000000000000000
χ714-444-4-4000000000-212-1003-3000000000000000-44-4-4440000000002-1-2100-33000000000000000
χ724-444-4-4000000000-212-100-33000000000000000-44-4-4440000000002-1-21003-3000000000000000
χ736-6−3−3i3−3+3i33+3i33−3i30002i−2i2ζ112ζ7−2ζ11−2ζ700000000000000000000000-663+3i33−3i3−3−3i3−3+3i3000−2i2i−2ζ11−2ζ72ζ112ζ700000000000000000000000
χ746-6−3−3i3−3+3i33+3i33−3i3000−2i2i−2ζ11−2ζ72ζ112ζ700000000000000000000000-663+3i33−3i3−3−3i3−3+3i30002i−2i2ζ112ζ7−2ζ11−2ζ700000000000000000000000
χ756-6−3+3i3−3−3i33−3i33+3i30002i−2i2ζ72ζ11−2ζ7−2ζ1100000000000000000000000-663−3i33+3i3−3+3i3−3−3i3000−2i2i−2ζ7−2ζ112ζ72ζ1100000000000000000000000
χ766-6−3+3i3−3−3i33−3i33+3i3000−2i2i−2ζ7−2ζ112ζ72ζ1100000000000000000000000-663−3i33+3i3−3+3i3−3−3i30002i−2i2ζ72ζ11−2ζ7−2ζ1100000000000000000000000

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