Finite Group Databasebeta

← Group #11923305

Character table — Group #11923305

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222223333666666444488888844448888882222444444666612121212121288881616161616168888161616161616333366666699991818181818181212121224242424242412121212242424242424
order12442488882244248888361212612242424243612126122424242436121261224242424661212612242424243612126122424242436121261224242424224424888822442488886612126122424242466121261224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ31111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ511-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i
χ611-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii
χ711-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii
χ811-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i
χ92-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i000000
χ102-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i000000
χ1111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ12111111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32111111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32111111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ131111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ141111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ1511-1-11-1i−ii−i11-1-11-1i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ1111-1-11-1i−ii−i11-1-11-1i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ1111-1-11-1i−ii−i11-1-11-1i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ1611-1-11-1−ii−ii11-1-11-1−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ1111-1-11-1−ii−ii11-1-11-1−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ1111-1-11-1−ii−ii11-1-11-1−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ1711-1-1-11i−i−ii11-1-1-11i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ1111-1-1-11i−i−ii11-1-1-11i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ1111-1-1-11i−i−ii11-1-1-11i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ1811-1-1-11−iii−i11-1-1-11−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ1111-1-1-11−iii−i11-1-1-11−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ1111-1-1-11−iii−i11-1-1-11−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ192-22i−2i0000002-22i−2i000000−1+i31−i32ζ7−2ζ7000000−1−i31+i32ζ11−2ζ110000002-22i−2i0000002-22i−2i000000−1+i31−i32ζ7−2ζ7000000−1−i31+i32ζ11−2ζ110000002-22i−2i0000002-22i−2i000000−1+i31−i32ζ7−2ζ7000000−1−i31+i32ζ11−2ζ11000000
χ202-2−2i2i0000002-2−2i2i000000−1+i31−i3−2ζ72ζ7000000−1−i31+i3−2ζ112ζ110000002-2−2i2i0000002-2−2i2i000000−1+i31−i3−2ζ72ζ7000000−1−i31+i3−2ζ112ζ110000002-2−2i2i0000002-2−2i2i000000−1+i31−i3−2ζ72ζ7000000−1−i31+i3−2ζ112ζ11000000
χ2111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ22111111-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32111111-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32111111-1-1-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ231111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ241111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ2511-1-11-1i−ii−i11-1-11-1i−ii−i−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ711-1-11-1i−ii−i11-1-11-1i−ii−i−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ711-1-11-1i−ii−i11-1-11-1i−ii−i−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ2611-1-11-1−ii−ii11-1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ711-1-11-1−ii−ii11-1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ711-1-11-1−ii−ii11-1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ2711-1-1-11i−i−ii11-1-1-11i−i−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ711-1-1-11i−i−ii11-1-1-11i−i−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ711-1-1-11i−i−ii11-1-1-11i−i−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ2811-1-1-11−iii−i11-1-1-11−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ711-1-1-11−iii−i11-1-1-11−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ711-1-1-11−iii−i11-1-1-11−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ292-22i−2i0000002-22i−2i000000−1−i31+i32ζ11−2ζ11000000−1+i31−i32ζ7−2ζ70000002-22i−2i0000002-22i−2i000000−1−i31+i32ζ11−2ζ11000000−1+i31−i32ζ7−2ζ70000002-22i−2i0000002-22i−2i000000−1−i31+i32ζ11−2ζ11000000−1+i31−i32ζ7−2ζ7000000
χ302-2−2i2i0000002-2−2i2i000000−1−i31+i3−2ζ112ζ11000000−1+i31−i3−2ζ72ζ70000002-2−2i2i0000002-2−2i2i000000−1−i31+i3−2ζ112ζ11000000−1+i31−i3−2ζ72ζ70000002-2−2i2i0000002-2−2i2i000000−1−i31+i3−2ζ112ζ11000000−1+i31−i3−2ζ72ζ7000000
χ313333333333-1-1-1-1-1-1-1-1-1-1000000000000000000003333333333-1-1-1-1-1-1-1-1-1-1000000000000000000003333333333-1-1-1-1-1-1-1-1-1-100000000000000000000
χ32333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000
χ333333-3-333-3-3-1-1-1-111-1-111000000000000000000003333-3-333-3-3-1-1-1-111-1-111000000000000000000003333-3-333-3-3-1-1-1-111-1-11100000000000000000000
χ343333-3-3-3-333-1-1-1-11111-1-1000000000000000000003333-3-3-3-333-1-1-1-11111-1-1000000000000000000003333-3-3-3-333-1-1-1-11111-1-100000000000000000000
χ3533-3-33-33i−3i3i−3i-1-111-11−ii−ii0000000000000000000033-3-33-33i−3i3i−3i-1-111-11−ii−ii0000000000000000000033-3-33-33i−3i3i−3i-1-111-11−ii−ii00000000000000000000
χ3633-3-33-3−3i3i−3i3i-1-111-11i−ii−i0000000000000000000033-3-33-3−3i3i−3i3i-1-111-11i−ii−i0000000000000000000033-3-33-3−3i3i−3i3i-1-111-11i−ii−i00000000000000000000
χ3733-3-3-333i−3i−3i3i-1-1111-1−iii−i0000000000000000000033-3-3-333i−3i−3i3i-1-1111-1−iii−i0000000000000000000033-3-3-333i−3i−3i3i-1-1111-1−iii−i00000000000000000000
χ3833-3-3-33−3i3i3i−3i-1-1111-1i−i−ii0000000000000000000033-3-3-33−3i3i3i−3i-1-1111-1i−i−ii0000000000000000000033-3-3-33−3i3i3i−3i-1-1111-1i−i−ii00000000000000000000
χ396-66i−6i000000-22−2i2i000000000000000000000000006-66i−6i000000-22−2i2i000000000000000000000000006-66i−6i000000-22−2i2i00000000000000000000000000
χ406-6−6i6i000000-222i−2i000000000000000000000000006-6−6i6i000000-222i−2i000000000000000000000000006-6−6i6i000000-222i−2i00000000000000000000000000
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ431111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ441111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
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χ4611-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii-1-111-11i−ii−i-1-111-11i−ii−i-1-111-11i−ii−i-1-111-11i−ii−i
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χ4811-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i-1-1111-1i−i−ii-1-1111-1i−i−ii-1-1111-1i−i−ii-1-1111-1i−i−ii
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χ52111111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32111111-1-1-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-11111-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ531111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-111-1-111-1-1-1-111-1-1111−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
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χ9122222222222222222222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000000000000000000000000000000000
χ92222222-2-2-2-2222222-2-2-2-2−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3-1-1-1-1-1-11111-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000000000000000000000
χ932222-2-222-2-22222-2-222-2-2−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3-1-1-1-111-1-111-1-1-1-111-1-1111−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000000000000000000000
χ942222-2-2-2-2222222-2-2-2-222−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3-1-1-1-11111-1-1-1-1-1-11111-1-11−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000000000000000000000000000000000
χ9522-2-22-22i−2i2i−2i22-2-22-22i−2i2i−2i−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11-1-111-11−ii−ii-1-111-11−ii−ii1−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000000000000000000000000000000000
χ9622-2-22-2−2i2i−2i2i22-2-22-2−2i2i−2i2i−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11-1-111-11i−ii−i-1-111-11i−ii−i1−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000000000000000000000000000000000
χ9722-2-2-222i−2i−2i2i22-2-2-222i−2i−2i2i−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11-1-1111-1−iii−i-1-1111-1−iii−i1−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ71+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000000000000000000000000000000000
χ9822-2-2-22−2i2i2i−2i22-2-2-22−2i2i2i−2i−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11-1-1111-1i−i−ii-1-1111-1i−i−ii1−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ71+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000000000000000000000000000000000
χ994-44i−4i0000004-44i−4i000000−2+2i32−2i34ζ7−4ζ7000000−2−2i32+2i34ζ11−4ζ11000000-22−2i2i000000-22−2i2i0000001−i3−1+i3−2ζ72ζ70000001+i3−1−i3−2ζ112ζ110000000000000000000000000000000000000000000000
χ1004-4−4i4i0000004-4−4i4i000000−2+2i32−2i3−4ζ74ζ7000000−2−2i32+2i3−4ζ114ζ11000000-222i−2i000000-222i−2i0000001−i3−1+i32ζ7−2ζ70000001+i3−1−i32ζ11−2ζ110000000000000000000000000000000000000000000000
χ10122222222222222222222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000000000000000000000
χ102222222-2-2-2-2222222-2-2-2-2−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3-1-1-1-1-1-11111-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000000000000000000000
χ1032222-2-222-2-22222-2-222-2-2−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3-1-1-1-111-1-111-1-1-1-111-1-1111+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000000000000000000000
χ1042222-2-2-2-2222222-2-2-2-222−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3-1-1-1-11111-1-1-1-1-1-11111-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000000000000000000000000000000000
χ10522-2-22-22i−2i2i−2i22-2-22-22i−2i2i−2i−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7-1-111-11−ii−ii-1-111-11−ii−ii1+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000000000000000000000000000000000
χ10622-2-22-2−2i2i−2i2i22-2-22-2−2i2i−2i2i−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7-1-111-11i−ii−i-1-111-11i−ii−i1+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000000000000000000000000000000000
χ10722-2-2-222i−2i−2i2i22-2-2-222i−2i−2i2i−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7-1-1111-1−iii−i-1-1111-1−iii−i1+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ111−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000000000000000000000000000000000
χ10822-2-2-22−2i2i2i−2i22-2-2-22−2i2i2i−2i−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7-1-1111-1i−i−ii-1-1111-1i−i−ii1+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ111−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000000000000000000000000000000000
χ1094-44i−4i0000004-44i−4i000000−2−2i32+2i34ζ11−4ζ11000000−2+2i32−2i34ζ7−4ζ7000000-22−2i2i000000-22−2i2i0000001+i3−1−i3−2ζ112ζ110000001−i3−1+i3−2ζ72ζ70000000000000000000000000000000000000000000000
χ1104-4−4i4i0000004-4−4i4i000000−2−2i32+2i3−4ζ114ζ11000000−2+2i32−2i3−4ζ74ζ7000000-222i−2i000000-222i−2i0000001+i3−1−i32ζ11−2ζ110000001−i3−1+i32ζ7−2ζ70000000000000000000000000000000000000000000000
χ1116666666666-2-2-2-2-2-2-2-2-2-200000000000000000000-3-3-3-3-3-3-3-3-3-31111111111000000000000000000000000000000000000000000000000000000000000
χ112666666-6-6-6-6-2-2-2-2-2-2222200000000000000000000-3-3-3-3-3-33333111111-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1136666-6-666-6-6-2-2-2-222-2-22200000000000000000000-3-3-3-333-3-3331111-1-111-1-1000000000000000000000000000000000000000000000000000000000000
χ1146666-6-6-6-666-2-2-2-22222-2-200000000000000000000-3-3-3-33333-3-31111-1-1-1-111000000000000000000000000000000000000000000000000000000000000
χ11566-6-66-66i−6i6i−6i-2-222-22−2i2i−2i2i00000000000000000000-3-333-33−3i3i−3i3i11-1-11-1i−ii−i000000000000000000000000000000000000000000000000000000000000
χ11666-6-66-6−6i6i−6i6i-2-222-222i−2i2i−2i00000000000000000000-3-333-333i−3i3i−3i11-1-11-1−ii−ii000000000000000000000000000000000000000000000000000000000000
χ11766-6-6-666i−6i−6i6i-2-2222-2−2i2i2i−2i00000000000000000000-3-3333-3−3i3i3i−3i11-1-1-11i−i−ii000000000000000000000000000000000000000000000000000000000000
χ11866-6-6-66−6i6i6i−6i-2-2222-22i−2i−2i2i00000000000000000000-3-3333-33i−3i−3i3i11-1-1-11−iii−i000000000000000000000000000000000000000000000000000000000000
χ11912-1212i−12i000000-44−4i4i00000000000000000000000000-66−6i6i0000002-22i−2i000000000000000000000000000000000000000000000000000000000000000000
χ12012-12−12i12i000000-444i−4i00000000000000000000000000-666i−6i0000002-2−2i2i000000000000000000000000000000000000000000000000000000000000000000

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