Finite Group Databasebeta

← Group #13181457

Character table — Group #13181457

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size122229366662748888364888836122229366662748888364888836122229366662748888364888836122229366662748888364888836122229366662748888364888836122229366662748888364888836122229366662748888364888836122229366662748888364888836
order13333226666233333633333641212121244121212124121212121212121212121212266662266662666666666666412121212441212121241212121212121212121212122666622666626666666666664121212124412121212412121212121212121212121226666226666266666666666641212121244121212124121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-111111-1
χ322-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-1022-1-1-10
χ42-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10
χ52-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10
χ62-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-1202-1-1-120
χ7111111111111−1+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−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−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−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
χ811111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i3211111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ922-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i32022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320
χ102-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i3202-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320
χ112-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i3202-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320
χ122-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i302-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30
χ13111111111111−1−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+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+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+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
χ1411111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32
χ1522-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i32022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320
χ162-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i3202-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320
χ172-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i3202-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320
χ182-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i302-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30
χ19333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000
χ2033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-1100000000000033333-3-1-1-1-1-11000000000000
χ2166-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-2111000000000000066-3-3-30-2-21110000000000000
χ226-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-21100000000000006-36-3-30-21-2110000000000000
χ236-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-2100000000000006-3-36-30-211-210000000000000
χ246-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-200000000000006-3-3-360-2111-20000000000000
χ25111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2611111-111111-111111-111111-1iiiii−iiiiii−iiiiii−iiiiii−i-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11−i−i−i−i−ii−i−i−i−i−ii−i−i−i−i−ii−i−i−i−i−ii11111-111111-111111-111111-1iiiii−iiiiii−iiiiii−iiiiii−i-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11−i−i−i−i−ii−i−i−i−i−ii−i−i−i−i−ii−i−i−i−i−ii
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χ1002-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110
χ1012-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-210
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χ145111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ14611111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-1-1-1-1-1-11-1-1-1-1-11-1-1-1-1-11-1-1-1-1-1111111-111111-111111-111111-1
χ14722-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-21110-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-10-2-21110-2-21110-2-21110-2-2111022-1-1-1022-1-1-1022-1-1-1022-1-1-10
χ1482-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-10-21-2110-21-2110-21-2110-21-21102-12-1-102-12-1-102-12-1-102-12-1-10
χ1492-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-210-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-10-211-210-211-210-211-210-211-2102-1-12-102-1-12-102-1-12-102-1-12-10
χ1502-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-20-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-120-2111-20-2111-20-2111-20-2111-202-1-1-1202-1-1-1202-1-1-1202-1-1-120
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χ157111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−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
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χ1742-1-1-1202-1-1-1202-1-1-1202-1-1-120−2iiii−2i0−2iiii−2i0−2iiii−2i0−2iiii−2i0-2111-20-2111-20-2111-20-2111-202i−i−i−i2i02i−i−i−i2i02i−i−i−i2i02i−i−i−i2i0-2111-20-2111-20-2111-20-2111-202i−i−i−i2i02i−i−i−i2i02i−i−i−i2i02i−i−i−i2i02-1-1-1202-1-1-1202-1-1-1202-1-1-120−2iiii−2i0−2iiii−2i0−2iiii−2i0−2iiii−2i0
χ175111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32iiiiiiiiiiiiζ7ζ7ζ7ζ7ζ7ζ7ζ11ζ11ζ11ζ11ζ11ζ11-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32iiiiiiiiiiiiζ7ζ7ζ7ζ7ζ7ζ7ζ11ζ11ζ11ζ11ζ11ζ11111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11
χ17611111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−i−i−i−i−ii−i−i−i−i−ii−ζ7−ζ7−ζ7−ζ7−ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11ζ11-1-1-1-1-11-1-1-1-1-111−i321−i321−i321−i321−i32−1+i321+i321+i321+i321+i321+i32−1−i32iiiii−iiiiii−iζ7ζ7ζ7ζ7ζ7−ζ7ζ11ζ11ζ11ζ11ζ11−ζ11-1-1-1-1-11-1-1-1-1-111−i321−i321−i321−i321−i32−1+i321+i321+i321+i321+i321+i32−1−i32iiiii−iiiiii−iζ7ζ7ζ7ζ7ζ7−ζ7ζ11ζ11ζ11ζ11ζ11−ζ1111111-111111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−i−i−i−i−ii−i−i−i−i−ii−ζ7−ζ7−ζ7−ζ7−ζ7ζ7−ζ11−ζ11−ζ11−ζ11−ζ11ζ11
χ17722-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−2i−2iiii0−2i−2iiii0−2ζ7−2ζ7ζ7ζ7ζ70−2ζ11−2ζ11ζ11ζ11ζ110-2-21110-2-211101−i31−i3−1+i32−1+i32−1+i3201+i31+i3−1−i32−1−i32−1−i3202i2i−i−i−i02i2i−i−i−i02ζ72ζ7−ζ7−ζ7−ζ702ζ112ζ11−ζ11−ζ11−ζ110-2-21110-2-211101−i31−i3−1+i32−1+i32−1+i3201+i31+i3−1−i32−1−i32−1−i3202i2i−i−i−i02i2i−i−i−i02ζ72ζ7−ζ7−ζ7−ζ702ζ112ζ11−ζ11−ζ11−ζ11022-1-1-1022-1-1-10−1+i3−1+i31−i321−i321−i320−1−i3−1−i31+i321+i321+i320−2i−2iiii0−2i−2iiii0−2ζ7−2ζ7ζ7ζ7ζ70−2ζ11−2ζ11ζ11ζ11ζ110
χ1782-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−2ii−2iii0−2ii−2iii0−2ζ7ζ7−2ζ7ζ7ζ70−2ζ11ζ11−2ζ11ζ11ζ110-21-2110-21-21101−i3−1+i321−i3−1+i32−1+i3201+i3−1−i321+i3−1−i32−1−i3202i−i2i−i−i02i−i2i−i−i02ζ7−ζ72ζ7−ζ7−ζ702ζ11−ζ112ζ11−ζ11−ζ110-21-2110-21-21101−i3−1+i321−i3−1+i32−1+i3201+i3−1−i321+i3−1−i32−1−i3202i−i2i−i−i02i−i2i−i−i02ζ7−ζ72ζ7−ζ7−ζ702ζ11−ζ112ζ11−ζ11−ζ1102-12-1-102-12-1-10−1+i31−i32−1+i31−i321−i320−1−i31+i32−1−i31+i321+i320−2ii−2iii0−2ii−2iii0−2ζ7ζ7−2ζ7ζ7ζ70−2ζ11ζ11−2ζ11ζ11ζ110
χ1792-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−2iii−2ii0−2iii−2ii0−2ζ7ζ7ζ7−2ζ7ζ70−2ζ11ζ11ζ11−2ζ11ζ110-211-210-211-2101−i3−1+i32−1+i321−i3−1+i3201+i3−1−i32−1−i321+i3−1−i3202i−i−i2i−i02i−i−i2i−i02ζ7−ζ7−ζ72ζ7−ζ702ζ11−ζ11−ζ112ζ11−ζ110-211-210-211-2101−i3−1+i32−1+i321−i3−1+i3201+i3−1−i32−1−i321+i3−1−i3202i−i−i2i−i02i−i−i2i−i02ζ7−ζ7−ζ72ζ7−ζ702ζ11−ζ11−ζ112ζ11−ζ1102-1-12-102-1-12-10−1+i31−i321−i32−1+i31−i320−1−i31+i321+i32−1−i31+i320−2iii−2ii0−2iii−2ii0−2ζ7ζ7ζ7−2ζ7ζ70−2ζ11ζ11ζ11−2ζ11ζ110
χ1802-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−2iiii−2i0−2iiii−2i0−2ζ7ζ7ζ7ζ7−2ζ70−2ζ11ζ11ζ11ζ11−2ζ110-2111-20-2111-201−i3−1+i32−1+i32−1+i321−i301+i3−1−i32−1−i32−1−i321+i302i−i−i−i2i02i−i−i−i2i02ζ7−ζ7−ζ7−ζ72ζ702ζ11−ζ11−ζ11−ζ112ζ110-2111-20-2111-201−i3−1+i32−1+i32−1+i321−i301+i3−1−i32−1−i32−1−i321+i302i−i−i−i2i02i−i−i−i2i02ζ7−ζ7−ζ7−ζ72ζ702ζ11−ζ11−ζ11−ζ112ζ1102-1-1-1202-1-1-120−1+i31−i321−i321−i32−1+i30−1−i31+i321+i321+i32−1−i30−2iiii−2i0−2iiii−2i0−2ζ7ζ7ζ7ζ7−2ζ70−2ζ11ζ11ζ11ζ11−2ζ110
χ181111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32iiiiiiiiiiiiζ11ζ11ζ11ζ11ζ11ζ11ζ7ζ7ζ7ζ7ζ7ζ7-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32iiiiiiiiiiiiζ11ζ11ζ11ζ11ζ11ζ11ζ7ζ7ζ7ζ7ζ7ζ7111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7
χ18211111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−i−i−i−i−ii−i−i−i−i−ii−ζ11−ζ11−ζ11−ζ11−ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7ζ7-1-1-1-1-11-1-1-1-1-111+i321+i321+i321+i321+i32−1−i321−i321−i321−i321−i321−i32−1+i32iiiii−iiiiii−iζ11ζ11ζ11ζ11ζ11−ζ11ζ7ζ7ζ7ζ7ζ7−ζ7-1-1-1-1-11-1-1-1-1-111+i321+i321+i321+i321+i32−1−i321−i321−i321−i321−i321−i32−1+i32iiiii−iiiiii−iζ11ζ11ζ11ζ11ζ11−ζ11ζ7ζ7ζ7ζ7ζ7−ζ711111-111111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−i−i−i−i−ii−i−i−i−i−ii−ζ11−ζ11−ζ11−ζ11−ζ11ζ11−ζ7−ζ7−ζ7−ζ7−ζ7ζ7
χ18322-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−2i−2iiii0−2i−2iiii0−2ζ11−2ζ11ζ11ζ11ζ110−2ζ7−2ζ7ζ7ζ7ζ70-2-21110-2-211101+i31+i3−1−i32−1−i32−1−i3201−i31−i3−1+i32−1+i32−1+i3202i2i−i−i−i02i2i−i−i−i02ζ112ζ11−ζ11−ζ11−ζ1102ζ72ζ7−ζ7−ζ7−ζ70-2-21110-2-211101+i31+i3−1−i32−1−i32−1−i3201−i31−i3−1+i32−1+i32−1+i3202i2i−i−i−i02i2i−i−i−i02ζ112ζ11−ζ11−ζ11−ζ1102ζ72ζ7−ζ7−ζ7−ζ7022-1-1-1022-1-1-10−1−i3−1−i31+i321+i321+i320−1+i3−1+i31−i321−i321−i320−2i−2iiii0−2i−2iiii0−2ζ11−2ζ11ζ11ζ11ζ110−2ζ7−2ζ7ζ7ζ7ζ70
χ1842-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−2ii−2iii0−2ii−2iii0−2ζ11ζ11−2ζ11ζ11ζ110−2ζ7ζ7−2ζ7ζ7ζ70-21-2110-21-21101+i3−1−i321+i3−1−i32−1−i3201−i3−1+i321−i3−1+i32−1+i3202i−i2i−i−i02i−i2i−i−i02ζ11−ζ112ζ11−ζ11−ζ1102ζ7−ζ72ζ7−ζ7−ζ70-21-2110-21-21101+i3−1−i321+i3−1−i32−1−i3201−i3−1+i321−i3−1+i32−1+i3202i−i2i−i−i02i−i2i−i−i02ζ11−ζ112ζ11−ζ11−ζ1102ζ7−ζ72ζ7−ζ7−ζ702-12-1-102-12-1-10−1−i31+i32−1−i31+i321+i320−1+i31−i32−1+i31−i321−i320−2ii−2iii0−2ii−2iii0−2ζ11ζ11−2ζ11ζ11ζ110−2ζ7ζ7−2ζ7ζ7ζ70
χ1852-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−2iii−2ii0−2iii−2ii0−2ζ11ζ11ζ11−2ζ11ζ110−2ζ7ζ7ζ7−2ζ7ζ70-211-210-211-2101+i3−1−i32−1−i321+i3−1−i3201−i3−1+i32−1+i321−i3−1+i3202i−i−i2i−i02i−i−i2i−i02ζ11−ζ11−ζ112ζ11−ζ1102ζ7−ζ7−ζ72ζ7−ζ70-211-210-211-2101+i3−1−i32−1−i321+i3−1−i3201−i3−1+i32−1+i321−i3−1+i3202i−i−i2i−i02i−i−i2i−i02ζ11−ζ11−ζ112ζ11−ζ1102ζ7−ζ7−ζ72ζ7−ζ702-1-12-102-1-12-10−1−i31+i321+i32−1−i31+i320−1+i31−i321−i32−1+i31−i320−2iii−2ii0−2iii−2ii0−2ζ11ζ11ζ11−2ζ11ζ110−2ζ7ζ7ζ7−2ζ7ζ70
χ1862-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−2iiii−2i0−2iiii−2i0−2ζ11ζ11ζ11ζ11−2ζ110−2ζ7ζ7ζ7ζ7−2ζ70-2111-20-2111-201+i3−1−i32−1−i32−1−i321+i301−i3−1+i32−1+i32−1+i321−i302i−i−i−i2i02i−i−i−i2i02ζ11−ζ11−ζ11−ζ112ζ1102ζ7−ζ7−ζ7−ζ72ζ70-2111-20-2111-201+i3−1−i32−1−i32−1−i321+i301−i3−1+i32−1+i32−1+i321−i302i−i−i−i2i02i−i−i−i2i02ζ11−ζ11−ζ11−ζ112ζ1102ζ7−ζ7−ζ7−ζ72ζ702-1-1-1202-1-1-120−1−i31+i321+i321+i32−1−i30−1+i31−i321−i321−i32−1+i30−2iiii−2i0−2iiii−2i0−2ζ11ζ11ζ11ζ11−2ζ110−2ζ7ζ7ζ7ζ7−2ζ70
χ187333333-1-1-1-1-1-1000000000000−3i−3i−3i−3i−3i−3iiiiiii000000000000-3-3-3-3-3-31111110000000000003i3i3i3i3i3i−i−i−i−i−i−i000000000000-3-3-3-3-3-31111110000000000003i3i3i3i3i3i−i−i−i−i−i−i000000000000333333-1-1-1-1-1-1000000000000−3i−3i−3i−3i−3i−3iiiiiii000000000000
χ18833333-3-1-1-1-1-11000000000000−3i−3i−3i−3i−3i3iiiiii−i000000000000-3-3-3-3-3311111-10000000000003i3i3i3i3i−3i−i−i−i−i−ii000000000000-3-3-3-3-3311111-10000000000003i3i3i3i3i−3i−i−i−i−i−ii00000000000033333-3-1-1-1-1-11000000000000−3i−3i−3i−3i−3i3iiiiii−i000000000000
χ18966-3-3-30-2-21110000000000000−6i−6i3i3i3i02i2i−i−i−i0000000000000-6-6333022-1-1-100000000000006i6i−3i−3i−3i0−2i−2iiii0000000000000-6-6333022-1-1-100000000000006i6i−3i−3i−3i0−2i−2iiii000000000000066-3-3-30-2-21110000000000000−6i−6i3i3i3i02i2i−i−i−i0000000000000
χ1906-36-3-30-21-2110000000000000−6i3i−6i3i3i02i−i2i−i−i0000000000000-63-63302-12-1-100000000000006i−3i6i−3i−3i0−2ii−2iii0000000000000-63-63302-12-1-100000000000006i−3i6i−3i−3i0−2ii−2iii00000000000006-36-3-30-21-2110000000000000−6i3i−6i3i3i02i−i2i−i−i0000000000000
χ1916-3-36-30-211-210000000000000−6i3i3i−6i3i02i−i−i2i−i0000000000000-633-6302-1-12-100000000000006i−3i−3i6i−3i0−2iii−2ii0000000000000-633-6302-1-12-100000000000006i−3i−3i6i−3i0−2iii−2ii00000000000006-3-36-30-211-210000000000000−6i3i3i−6i3i02i−i−i2i−i0000000000000
χ1926-3-3-360-2111-20000000000000−6i3i3i3i−6i02i−i−i−i2i0000000000000-6333-602-1-1-1200000000000006i−3i−3i−3i6i0−2iiii−2i0000000000000-6333-602-1-1-1200000000000006i−3i−3i−3i6i0−2iiii−2i00000000000006-3-3-360-2111-20000000000000−6i3i3i3i−6i02i−i−i−i2i0000000000000

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