Finite Group Databasebeta

← Group #13144466

Character table — Group #13144466

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111222222444444666666666666666688888812121212121212121212121212121212121212121212121224242424242424242424242424242424363636363636363636363636727272727272
order1222336666664412121212246612123333666666666666246612126666666612121212121212121212121212121212666666661212121212121212888824242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111111111111111111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ6111111111111111111-1-1-1-1-1-111111111111111111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ7111111111111111111-1-1-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11-1-111
χ8111111111111111111-1-1-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-111-1-1
χ92222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000
χ102222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000
χ11222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1222222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000
χ12222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000
χ13222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000
χ14222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000
χ15222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000
χ16222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000
χ17222222222222222222-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12-222-2-2-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000
χ18222222222222222222-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-22-2-222-2-211111122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000000000
χ19222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-12-222-2-211-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000000000
χ20222222222222222222-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-22-2-22211-2-21111-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000000000
χ21222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-12-222-2-21111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000000000
χ22222222222222222222-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-22-2-2221111-2-211-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1000000000000000000
χ23222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1222-222-2-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000
χ24222222222222222222-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-22-2-222111111-2-2-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122000000000000000000
χ25222222222222-2-2-2-2-2-22-222-2-2222222222222222200000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ26222222222222-2-2-2-2-2-22-222-2-22-1-1-12-1-1-122-1-1-1-1-1-100000022-1-1-1-1-1-1-2-2111111-2-211111100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000000000
χ27222222222222-2-2-2-2-2-22-222-2-22-1-1-12-1-1-122-1-1-1-1-1-100000022-1-1-1-1-1-1-2-2111111-2-211111100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000
χ28222222222222-2-2-2-2-2-22-222-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000-1-122-1-1-1-111-2-2111111-2-21111−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000000000
χ29222222222222-2-2-2-2-2-22-222-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000-1-122-1-1-1-111-2-2111111-2-21111i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000000000
χ30222222222222-2-2-2-2-2-22-222-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000-1-1-1-122-1-11111-2-2111111-2-211−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000000000
χ31222222222222-2-2-2-2-2-22-222-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000-1-1-1-122-1-11111-2-2111111-2-211i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000000000
χ32222222222222-2-2-2-2-2-22-222-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000-1-1-1-1-1-122111111-2-2111111-2-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300000000000000000000
χ33222222222222-2-2-2-2-2-22-222-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000-1-1-1-1-1-122111111-2-2111111-2-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300000000000000000000
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χ35222222222222-2-2-2-2-2-2-22-2-2222-1-1-12-1-1-122-1-1-1-1-1-1000000-2-2111111-2-211111122-1-1-1-1-1-100−i3i3−i3i3−i3i300i3−i3i3−i3i3−i3000000000000000000
χ36222222222222-2-2-2-2-2-2-22-2-2222-1-1-12-1-1-122-1-1-1-1-1-1000000-2-2111111-2-211111122-1-1-1-1-1-100i3−i3i3−i3i3−i300−i3i3−i3i3−i3i3000000000000000000
χ37222222222222-2-2-2-2-2-2-22-2-222-12-1-1-12-1-1-1-122-1-1-1-100000011-2-2111111-2-21111-1-122-1-1-1-1−i3i300−i3i3i3−i3i3−i300i3−i3−i3i3000000000000000000
χ38222222222222-2-2-2-2-2-2-22-2-222-12-1-1-12-1-1-1-122-1-1-1-100000011-2-2111111-2-21111-1-122-1-1-1-1i3−i300i3−i3−i3i3−i3i300−i3i3i3−i3000000000000000000
χ39222222222222-2-2-2-2-2-2-22-2-222-1-12-1-1-12-1-1-1-1-122-1-10000001111-2-2111111-2-211-1-1-1-122-1-1−i3i3i3−i300−i3i3i3−i3−i3i300i3−i3000000000000000000
χ40222222222222-2-2-2-2-2-2-22-2-222-1-12-1-1-12-1-1-1-1-122-1-10000001111-2-2111111-2-211-1-1-1-122-1-1i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3000000000000000000
χ41222222222222-2-2-2-2-2-2-22-2-222-1-1-12-1-1-12-1-1-1-1-1-122000000111111-2-2111111-2-2-1-1-1-1-1-122−i3i3−i3i3i3−i300i3−i3i3−i3−i3i300000000000000000000
χ42222222222222-2-2-2-2-2-2-22-2-222-1-1-12-1-1-12-1-1-1-1-1-122000000111111-2-2111111-2-2-1-1-1-1-1-122i3−i3i3−i3−i3i300−i3i3−i3i3i3−i300000000000000000000
χ432-22-222-2-222-2-22-222-2-20000002222-2-2-2-22-22-22-22-2000000000000002-22-22-22-2000000000000000000000000002i−2i00002i2i−2i−2i000000
χ442-22-222-2-222-2-22-222-2-20000002222-2-2-2-22-22-22-22-2000000000000002-22-22-22-200000000000000000000000000−2i2i0000−2i−2i2i2i000000
χ452-22-222-2-222-2-2-22-2-2220000002222-2-2-2-22-22-22-22-200000000000000-22-22-22-220000000000000000000000002-20022-2-20000000000
χ462-22-222-2-222-2-2-22-2-2220000002222-2-2-2-22-22-22-22-200000000000000-22-22-22-22000000000000000000000000-2200-2-2220000000000
χ473333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ483333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32000000000000000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-1-11+i321−i321+i321−i32
χ493333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-3-33+3i323−3i323+3i323−3i3200000000000000000000000000000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11+i321−i321+i321−i32
χ503333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-3-33+3i323−3i323+3i323−3i320000000000000000000000000000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i32−1−i32−1+i32
χ513333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321-1−1−i32−1+i321+i321−i32
χ523333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i3200000000000000003-3−3−3i32−3+3i323+3i323−3i320000000000000000000000000000000000000000-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-111+i321−i32−1−i32−1+i32
χ533333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i323+3i323−3i320000000000000000-333+3i323−3i32−3−3i32−3+3i32000000000000000000000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-111+i321−i32−1−i32−1+i32
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χ553333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32000000000000000033−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ563333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32000000000000000033−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32-1-11−i321+i321−i321+i32
χ573333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-3-33−3i323+3i323−3i323+3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11−i321+i321−i321+i32
χ583333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-3-33−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3211−1+i32−1−i32−1+i32−1−i32
χ593333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000000000003-3−3+3i32−3−3i323−3i323+3i32000000000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321-1−1+i32−1−i321−i321+i32
χ603333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i3200000000000000003-3−3+3i32−3−3i323−3i323+3i320000000000000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-111−i321+i32−1+i32−1−i32
χ613333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000-333−3i323+3i32−3+3i32−3−3i32000000000000000000000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-111−i321+i32−1+i32−1−i32
χ623333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i323−3i323+3i320000000000000000-333−3i323+3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321−i321+i32
χ6344-4-44444-4-4-4-400000000000044444444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000
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χ754-44-444-4-444-4-44-444-4-4000000-2-2-24222-4-22-22-224-400000000000000-22-22-224-4000000000000000000000000000000000000000000
χ764-44-444-4-444-4-4-44-4-4440000004-2-2-2-42224-4-22-22-2200000000000000-442-22-22-2000000000000000000000000000000000000000000
χ774-44-444-4-444-4-4-44-4-444000000-24-2-22-422-224-4-22-22000000000000002-2-442-22-2000000000000000000000000000000000000000000
χ784-44-444-4-444-4-4-44-4-444000000-2-24-222-42-22-224-4-22000000000000002-22-2-442-2000000000000000000000000000000000000000000
χ794-44-444-4-444-4-4-44-4-444000000-2-2-24222-4-22-22-224-4000000000000002-22-22-2-44000000000000000000000000000000000000000000
χ804-4-4444-4-4-4-4440000000000004444-4-4-4-4-44-44-44-440000000000000000000000000000000000000000000000000000000000000000
χ814-4-4444-4-4-4-4440000000000004-2-2-2-4222-442-22-22-200000000−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000
χ824-4-4444-4-4-4-4440000000000004-2-2-2-4222-442-22-22-2000000002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000
χ834-4-4444-4-4-4-444000000000000-24-2-22-4222-2-442-22-2000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ844-4-4444-4-4-4-444000000000000-24-2-22-4222-2-442-22-20000002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ854-4-4444-4-4-4-444000000000000-2-24-222-422-22-2-442-2000000−2i32i32i3−2i300−2i32i300000000000000000000000000000000000000000000000000
χ864-4-4444-4-4-4-444000000000000-2-24-222-422-22-2-442-20000002i3−2i3−2i32i3002i3−2i300000000000000000000000000000000000000000000000000
χ874-4-4444-4-4-4-444000000000000-2-2-24222-42-22-22-2-44000000−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000
χ884-4-4444-4-4-4-444000000000000-2-2-24222-42-22-22-2-440000002i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
χ896666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ906666−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3-6-63+3i33−3i33+3i33−3i3-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ916666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-6-63−3i33+3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ926666−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3-6-63−3i33+3i33−3i33+3i3-663−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ936-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000002i−2i00002ζ112ζ7−2ζ11−2ζ7000000
χ946-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000000000000000−2i2i0000−2ζ11−2ζ72ζ112ζ7000000
χ956-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-663+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000002-200−1−i3−1+i31+i31−i30000000000
χ966-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000-22001+i31−i3−1−i3−1+i30000000000
χ976-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000002i−2i00002ζ72ζ11−2ζ7−2ζ11000000
χ986-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36-6−3+3i3−3−3i33−3i33+3i30000000000000000000000000000000000000000000000000000000000000000000000−2i2i0000−2ζ7−2ζ112ζ72ζ11000000
χ996-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-663−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000002-200−1+i3−1−i31−i31+i30000000000
χ1006-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3-663−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000-22001−i31+i3−1+i3−1−i30000000000
χ1011212-12-12−6−6i3−6+6i3−6−6i3−6+6i36+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12−6+6i3−6−6i3−6+6i3−6−6i36−6i36+6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-1212−6−6i3−6+6i36+6i36−6i36+6i36−6i3−6−6i3−6+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212−6+6i3−6−6i36−6i36+6i36−6i36+6i3−6+6i3−6−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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