Finite Group Databasebeta

← Group #11923181

Character table — Group #11923181

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size114444622888812331212121218114444622888812331212121218114444622888812331212121218114444622888812331212121218114444622888812331212121218114444622888812331212121218114444622888812331212121218114444622888812331212121218
order1233664363366122266664441212121241212121212121244121212124226666466666612226666444121212124121212121212124412121212422666646666661222666644412121212412121212121212441212121242266664666666122266664441212121241212121212121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1
χ811111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1
χ1011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1
χ112-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-10
χ122-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320
χ132-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320
χ14330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001330000-1330000-1-3-300001
χ152222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-100000002222222-1-1-1-1-1-1-10000000
χ1622−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-1000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-10000000
χ1722−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-1000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-10000000
χ184-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-1000000004-4-2-2220-2211-1-100000000
χ194-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i32000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i3200000000
χ204-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i32000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i3200000000
χ21660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000660000-2-3-3000010000000
χ22111111111111111111111iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i111111111111111111111iiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2311−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321iiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11i-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321iiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11i-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−i
χ2411−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321iiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7i-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−i11−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321iiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7i-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−i
χ252-2-1-11102-2-1-11102-2-1-11102i−2i−i−iii02i−2i−i−iii02i−2i−i−iii0-2211-1-10-2211-1-10-2211-1-10−2i2iii−i−i0−2i2iii−i−i0−2i2iii−i−i02-2-1-11102-2-1-11102-2-1-11102i−2i−i−iii02i−2i−i−iii02i−2i−i−iii0-2211-1-10-2211-1-10-2211-1-10−2i2iii−i−i0−2i2iii−i−i0−2i2iii−i−i0
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χ12811−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ12911−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ1302-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110
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χ13411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1
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χ1532-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ70-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ70-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ702-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ70
χ154330000-1330000-1330000-1−3i−3i0000i−3i−3i0000i−3i−3i0000i-3-300001-3-300001-3-3000013i3i0000−i3i3i0000−i3i3i0000−i-3-300001-3-300001-3-3000013i3i0000−i3i3i0000−i3i3i0000−i330000-1330000-1330000-1−3i−3i0000i−3i−3i0000i−3i−3i0000i
χ15511111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111iiiiiiiiiiiiii−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111iiiiiiiiiiiiii−i−i−i−i−i−i−i11111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii
χ15611−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321iiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321iiζ7ζ11ζ7ζ11iiiζ7ζ11ζ7ζ11i−i−i−ζ7−ζ11−ζ7−ζ11−i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ7−ζ11−ζ7−ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11−iiiζ7ζ11ζ7ζ11i
χ15711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−iiiζ11ζ7ζ11ζ7i-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321iiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321iiζ11ζ7ζ11ζ7iiiζ11ζ7ζ11ζ7i−i−i−ζ11−ζ7−ζ11−ζ7−i11−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1−i−i−ζ11−ζ7−ζ11−ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7−iiiζ11ζ7ζ11ζ7i
χ1582-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i0−2i2iii−i−i02i−2i−i−iii0-2211-1-10-2211-1-102-2-1-11102i−2i−i−iii02i−2i−i−iii0−2i2iii−i−i0-2211-1-10-2211-1-102-2-1-11102i−2i−i−iii02i−2i−i−iii0−2i2iii−i−i02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i0−2i2iii−i−i02i−2i−i−iii0
χ1592-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320−2i2iζ7ζ11−ζ7−ζ110−2i2iζ7ζ11−ζ7−ζ1102i−2i−ζ7−ζ11ζ7ζ110-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202i−2i−ζ7−ζ11ζ7ζ1102i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ110-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202i−2i−ζ7−ζ11ζ7ζ1102i−2i−ζ7−ζ11ζ7ζ110−2i2iζ7ζ11−ζ7−ζ1102-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320−2i2iζ7ζ11−ζ7−ζ110−2i2iζ7ζ11−ζ7−ζ1102i−2i−ζ7−ζ11ζ7ζ110
χ1602-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ702i−2i−ζ11−ζ7ζ11ζ70-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ70-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202i−2i−ζ11−ζ7ζ11ζ702i−2i−ζ11−ζ7ζ11ζ70−2i2iζ11ζ7−ζ11−ζ702-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320−2i2iζ11ζ7−ζ11−ζ70−2i2iζ11ζ7−ζ11−ζ702i−2i−ζ11−ζ7ζ11ζ70
χ161330000-1330000-1-3-300001−3i−3i0000i−3i−3i0000i3i3i0000−i-3-300001-3-300001330000-13i3i0000−i3i3i0000−i−3i−3i0000i-3-300001-3-300001330000-13i3i0000−i3i3i0000−i−3i−3i0000i330000-1330000-1-3-300001−3i−3i0000i−3i−3i0000i3i3i0000−i
χ1622222222-1-1-1-1-1-1-10000000−2i−2i−2i−2i−2i−2i−2iiiiiiii0000000-2-2-2-2-2-2-2111111100000002i2i2i2i2i2i2i−i−i−i−i−i−i−i0000000-2-2-2-2-2-2-2111111100000002i2i2i2i2i2i2i−i−i−i−i−i−i−i00000002222222-1-1-1-1-1-1-10000000−2i−2i−2i−2i−2i−2i−2iiiiiiii0000000
χ16322−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-10000000−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−2iiiζ7ζ11ζ7ζ11i0000000-2-21−i31+i31−i31+i3-211−1+i32−1−i32−1+i32−1−i32100000002i2i2ζ72ζ112ζ72ζ112i−i−i−ζ7−ζ11−ζ7−ζ11−i0000000-2-21−i31+i31−i31+i3-211−1+i32−1−i32−1+i32−1−i32100000002i2i2ζ72ζ112ζ72ζ112i−i−i−ζ7−ζ11−ζ7−ζ11−i000000022−1+i3−1−i3−1+i3−1−i32-1-11−i321+i321−i321+i32-10000000−2i−2i−2ζ7−2ζ11−2ζ7−2ζ11−2iiiζ7ζ11ζ7ζ11i0000000
χ16422−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-10000000−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7−2iiiζ11ζ7ζ11ζ7i0000000-2-21+i31−i31+i31−i3-211−1−i32−1+i32−1−i32−1+i32100000002i2i2ζ112ζ72ζ112ζ72i−i−i−ζ11−ζ7−ζ11−ζ7−i0000000-2-21+i31−i31+i31−i3-211−1−i32−1+i32−1−i32−1+i32100000002i2i2ζ112ζ72ζ112ζ72i−i−i−ζ11−ζ7−ζ11−ζ7−i000000022−1−i3−1+i3−1−i3−1+i32-1-11+i321−i321+i321−i32-10000000−2i−2i−2ζ11−2ζ7−2ζ11−2ζ7−2iiiζ11ζ7ζ11ζ7i0000000
χ1654-4-2-2220-2211-1-100000000−4i4i2i2i−2i−2i02i−2i−i−iii00000000-4422-2-202-2-1-111000000004i−4i−2i−2i2i2i0−2i2iii−i−i00000000-4422-2-202-2-1-111000000004i−4i−2i−2i2i2i0−2i2iii−i−i000000004-4-2-2220-2211-1-100000000−4i4i2i2i−2i−2i02i−2i−i−iii00000000
χ1664-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i3200000000−4i4i2ζ72ζ11−2ζ7−2ζ1102i−2i−ζ7−ζ11ζ7ζ1100000000-44−1+i3−1−i31−i31+i302-21−i321+i32−1+i32−1−i32000000004i−4i−2ζ7−2ζ112ζ72ζ110−2i2iζ7ζ11−ζ7−ζ1100000000-44−1+i3−1−i31−i31+i302-21−i321+i32−1+i32−1−i32000000004i−4i−2ζ7−2ζ112ζ72ζ110−2i2iζ7ζ11−ζ7−ζ11000000004-41−i31+i3−1+i3−1−i30-22−1+i32−1−i321−i321+i3200000000−4i4i2ζ72ζ11−2ζ7−2ζ1102i−2i−ζ7−ζ11ζ7ζ1100000000
χ1674-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i3200000000−4i4i2ζ112ζ7−2ζ11−2ζ702i−2i−ζ11−ζ7ζ11ζ700000000-44−1−i3−1+i31+i31−i302-21+i321−i32−1−i32−1+i32000000004i−4i−2ζ11−2ζ72ζ112ζ70−2i2iζ11ζ7−ζ11−ζ700000000-44−1−i3−1+i31+i31−i302-21+i321−i32−1−i32−1+i32000000004i−4i−2ζ11−2ζ72ζ112ζ70−2i2iζ11ζ7−ζ11−ζ7000000004-41+i31−i3−1−i3−1+i30-22−1−i32−1+i321+i321−i3200000000−4i4i2ζ112ζ7−2ζ11−2ζ702i−2i−ζ11−ζ7ζ11ζ700000000
χ168660000-2-3-3000010000000−6i−6i00002i3i3i0000−i0000000-6-600002330000-100000006i6i0000−2i−3i−3i0000i0000000-6-600002330000-100000006i6i0000−2i−3i−3i0000i0000000660000-2-3-3000010000000−6i−6i00002i3i3i0000−i0000000

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