Finite Group Databasebeta

← Group #6299

Character table — Group #6299

Order 216.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123123
order13241242624124336121212666121212336121212666121212336121212666121212336121212666121212336121212666121212336121212666121212336121212666121212336121212666121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-111-1
χ32-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-102-10
χ4111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i111iii-1-1-1−i−i−i
χ511-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii11-1ii−i-1-11−i−ii
χ62-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii02-102i−i0-210−2ii0
χ7111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1
χ811-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-11
χ92-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-2102-10-210
χ10111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii111−i−i−i-1-1-1iii
χ1111-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i11-1−i−ii-1-11ii−i
χ122-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i02-10−2ii0-2102i−i0
χ13111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ1411-111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3211-111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3211-111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ152-102-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i3202-102-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i3202-102-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320
χ16111iii-1-1-1−i−i−i−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11111iii-1-1-1−i−i−i−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11111iii-1-1-1−i−i−i−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11
χ1711-1ii−i-1-11−i−ii−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ1111-1ii−i-1-11−i−ii−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ1111-1ii−i-1-11−i−ii−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11
χ182-102i−i0-210−2ii0−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ1102-102i−i0-210−2ii0−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ1102-102i−i0-210−2ii0−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110
χ19111-1-1-1111-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32111-1-1-1111-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32111-1-1-1111-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ2011-1-1-1111-1-1-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3211-1-1-1111-1-1-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3211-1-1-1111-1-1-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ212-10-2102-10-210−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i3202-10-2102-10-210−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i3202-10-2102-10-210−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320
χ22111−i−i−i-1-1-1iii−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11111−i−i−i-1-1-1iii−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11111−i−i−i-1-1-1iii−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11
χ2311-1−i−ii-1-11ii−i−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ1111-1−i−ii-1-11ii−i−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ1111-1−i−ii-1-11ii−i−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11
χ242-10−2ii0-2102i−i0−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ1102-10−2ii0-2102i−i0−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ1102-10−2ii0-2102i−i0−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ110
χ25111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32
χ2611-111-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3211-111-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3211-111-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ272-102-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i3202-102-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i3202-102-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320
χ28111iii-1-1-1−i−i−i−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7111iii-1-1-1−i−i−i−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7111iii-1-1-1−i−i−i−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7
χ2911-1ii−i-1-11−i−ii−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ711-1ii−i-1-11−i−ii−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ711-1ii−i-1-11−i−ii−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7
χ302-102i−i0-210−2ii0−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ702-102i−i0-210−2ii0−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ702-102i−i0-210−2ii0−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70
χ31111-1-1-1111-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32111-1-1-1111-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32111-1-1-1111-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32
χ3211-1-1-1111-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3211-1-1-1111-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3211-1-1-1111-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ332-10-2102-10-210−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i3202-10-2102-10-210−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i3202-10-2102-10-210−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320
χ34111−i−i−i-1-1-1iii−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7111−i−i−i-1-1-1iii−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7111−i−i−i-1-1-1iii−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7
χ3511-1−i−ii-1-11ii−i−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ711-1−i−ii-1-11ii−i−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ711-1−i−ii-1-11ii−i−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7
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χ37111111111111111111111111111111111111−1+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+i32−1+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−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
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χ5011-111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3211-111-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i3211-111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
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χ872-102-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i3202-102-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i3202-102-102-102-10
χ88111iii-1-1-1−i−i−i−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11111iii-1-1-1−i−i−i−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11111iii-1-1-1−i−i−i
χ8911-1ii−i-1-11−i−ii−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ1111-1ii−i-1-11−i−ii−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ1111-1ii−i-1-11−i−ii
χ902-102i−i0-210−2ii0−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ1102-102i−i0-210−2ii0−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ1102-102i−i0-210−2ii0
χ91111-1-1-1111-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32111-1-1-1111-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32111-1-1-1111-1-1-1
χ9211-1-1-1111-1-1-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3211-1-1-1111-1-1-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3211-1-1-1111-1-1-11
χ932-10-2102-10-210−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i3202-10-2102-10-210−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i3202-10-2102-10-210
χ94111−i−i−i-1-1-1iii−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11111−i−i−i-1-1-1iii−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11111−i−i−i-1-1-1iii
χ9511-1−i−ii-1-11ii−i−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ1111-1−i−ii-1-11ii−i−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ1111-1−i−ii-1-11ii−i
χ962-10−2ii0-2102i−i0−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ110−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ1102-10−2ii0-2102i−i0−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ1102-10−2ii0-2102i−i0
χ97111111111111−1−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+i32−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ9811-111-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3211-111-111-111-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i3211-111-111-111-1−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ992-102-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i320−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i3202-102-102-102-10−1+i31−i320−1+i31−i320−1+i31−i320−1+i31−i3202-102-102-102-10−1−i31+i320−1−i31+i320−1−i31+i320−1−i31+i320
χ100111iii-1-1-1−i−i−i−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7111iii-1-1-1−i−i−i−1+i32−1+i32−1+i32ζ7ζ7ζ71−i321−i321−i32−ζ7−ζ7−ζ7111iii-1-1-1−i−i−i−1−i32−1−i32−1−i32ζ11ζ11ζ111+i321+i321+i32−ζ11−ζ11−ζ11
χ10111-1ii−i-1-11−i−ii−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ7−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ711-1ii−i-1-11−i−ii−1+i32−1+i321−i32ζ7ζ7−ζ71−i321−i32−1+i32−ζ7−ζ7ζ711-1ii−i-1-11−i−ii−1−i32−1−i321+i32ζ11ζ11−ζ111+i321+i32−1−i32−ζ11−ζ11ζ11
χ1022-102i−i0-210−2ii0−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ70−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ702-102i−i0-210−2ii0−1+i31−i3202ζ7−ζ701−i3−1+i320−2ζ7ζ702-102i−i0-210−2ii0−1−i31+i3202ζ11−ζ1101+i3−1−i320−2ζ11ζ110
χ103111-1-1-1111-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32111-1-1-1111-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32111-1-1-1111-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ10411-1-1-1111-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3211-1-1-1111-1-1-11−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3211-1-1-1111-1-1-11−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ1052-10-2102-10-210−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i320−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i3202-10-2102-10-210−1+i31−i3201−i3−1+i320−1+i31−i3201−i3−1+i3202-10-2102-10-210−1−i31+i3201+i3−1−i320−1−i31+i3201+i3−1−i320
χ106111−i−i−i-1-1-1iii−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7111−i−i−i-1-1-1iii−1+i32−1+i32−1+i32−ζ7−ζ7−ζ71−i321−i321−i32ζ7ζ7ζ7111−i−i−i-1-1-1iii−1−i32−1−i32−1−i32−ζ11−ζ11−ζ111+i321+i321+i32ζ11ζ11ζ11
χ10711-1−i−ii-1-11ii−i−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ7−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ711-1−i−ii-1-11ii−i−1+i32−1+i321−i32−ζ7−ζ7ζ71−i321−i32−1+i32ζ7ζ7−ζ711-1−i−ii-1-11ii−i−1−i32−1−i321+i32−ζ11−ζ11ζ111+i321+i32−1−i32ζ11ζ11−ζ11
χ1082-10−2ii0-2102i−i0−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ110−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ70−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ110−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ702-10−2ii0-2102i−i0−1+i31−i320−2ζ7ζ701−i3−1+i3202ζ7−ζ702-10−2ii0-2102i−i0−1−i31+i320−2ζ11ζ1101+i3−1−i3202ζ11−ζ110

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