Finite Group Databasebeta

← Group #13178790

Character table — Group #13178790

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size1111222222222222222222444444444444444444444444444444444444444444449999181818181818181818181818181818181818363636363636363611112222222222222222224444444444444444444444444444444444444444444499991818181818181818181818181818181818183636363636363636
order1222223336666666666666333336666666666666666666666666666666666666664444224444444412121212121212126612121212121222222266666666666666666666666666666666666666666666666666666666666644442244444444121212121212121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ61111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ81111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-11111-1-1111111-1-1-1-111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1
χ911-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−i1-11-1i−ii−ii−iii−i−iii−i−i1-11-1i−ii−i11-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−i1-11-1i−ii−ii−iii−i−iii−i−i1-11-1i−ii−i
χ1011-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-11-11−iii−i−iiii−i−iii−i−i-11-11−ii−ii11-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−i-11-11−iii−i−iiii−i−iii−i−i-11-11−ii−ii
χ1111-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii1-11-1−ii−ii−ii−i−iii−i−iii1-11-1−ii−ii11-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii1-11-1−ii−ii−ii−i−iii−i−iii1-11-1−ii−ii
χ1211-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii-11-11i−i−iii−i−i−iii−i−iii-11-11i−ii−i11-1-11-111111-111-1-1-1-1-1-11-1111111-11-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii-11-11i−i−iii−i−i−iii−i−iii-11-11i−ii−i
χ1311-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i1-1-11−ii−iii−iii−i−i−i−iii1-1-11i−i−ii11-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i1-1-11−ii−iii−iii−i−i−i−iii1-1-11i−i−ii
χ1411-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i-111-1i−i−ii−iiii−i−i−i−iii-111-1−iii−i11-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i-111-1i−i−ii−iiii−i−i−i−iii-111-1−iii−i
χ1511-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii1-1-11i−ii−i−ii−i−iiiii−i−i1-1-11−iii−i11-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii1-1-11i−ii−i−ii−i−iiiii−i−i1-1-11−iii−i
χ1611-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii-111-1−iii−ii−i−i−iiiii−i−i-111-1i−i−ii11-1-1-1111111-1-1-111-1-1-1-11-111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii-111-1−iii−ii−i−i−iiiii−i−i-111-1i−i−ii
χ1722222222-12222222-1-122-122-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000000000-1-1-1-1000022222222-12222222-1-122-122-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000000000-1-1-1-10000
χ1822222222-12222222-1-122-122-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000000000001111000022222222-12222222-1-122-122-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000000000011110000
χ192222222-122-12222222-1-122-12-1-1-1-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000220022000000000000-1-1-1-12222222-122-12222222-1-122-12-1-1-1-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000220022000000000000-1-1-1-1
χ202222222-122-12222222-1-122-12-1-1-1-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200-2-200000000000011112222222-122-12222222-1-122-12-1-1-1-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200-2-20000000000001111
χ21222222-122-12-1-1-1-1-122222-1-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122220000002200-1-1-1-1-1-1-1-100000000222222-122-12-1-1-1-1-122222-1-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122220000002200-1-1-1-1-1-1-1-100000000
χ22222222-122-12-1-1-1-1-122222-1-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-2001111111100000000222222-122-12-1-1-1-1-122222-1-1-12-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-2001111111100000000
χ232222-2-222-1222-2-2-2-2-1-122-122-1-1-1-1-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111000022-2-200000000000000-1-11100002222-2-222-1222-2-2-2-2-1-122-122-1-1-1-1-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-211111111000022-2-200000000000000-1-1110000
χ242222-2-222-1222-2-2-2-2-1-122-122-1-1-1-1-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-2-2220000000000000011-1-100002222-2-222-1222-2-2-2-2-1-122-122-1-1-1-1-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-2-2220000000000000011-1-10000
χ252222-2-22-122-12-2-2-2-222-1-122-12-1-1-111-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000002200-2-200000000000011-1-12222-2-22-122-12-2-2-2-222-1-122-12-1-1-111-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000002200-2-200000000000011-1-1
χ262222-2-22-122-12-2-2-2-222-1-122-12-1-1-111-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-20022000000000000-1-1112222-2-22-122-12-2-2-2-222-1-122-12-1-1-111-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-20022000000000000-1-111
χ272222-2-2-122-12-1111122222-1-1-12-1-1-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-211112222000000-2-200-1-1-1-11111000000002222-2-2-122-12-1111122222-1-1-12-1-1-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-211112222000000-2-200-1-1-1-1111100000000
χ282222-2-2-122-12-1111122222-1-1-12-1-1-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-200000022001111-1-1-1-1000000002222-2-2-122-12-1111122222-1-1-12-1-1-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-200000022001111-1-1-1-100000000
χ2922-2-22-222-122-222-2-211-2-2-1-22-1-1-1-12-2-112-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100002-22-200000000000000-11-11000022-2-22-222-122-222-2-211-2-2-1-22-1-1-1-12-2-112-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100002-22-200000000000000-11-110000
χ3022-2-22-222-122-222-2-211-2-2-1-22-1-1-1-12-2-112-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-22-22000000000000001-11-1000022-2-22-222-122-222-2-211-2-2-1-22-1-1-1-12-2-112-1-1-1-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-22-22000000000000001-11-10000
χ3122-2-22-22-122-1-222-2-2-2-2112-2-12-1-1-1-112-2-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000002i−2i002i−2i000000000000−ii−ii22-2-22-22-122-1-222-2-2-2-2112-2-12-1-1-1-112-2-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000002i−2i002i−2i000000000000−ii−ii
χ3222-2-22-22-122-1-222-2-2-2-2112-2-12-1-1-1-112-2-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000−2i2i00−2i2i000000000000i−ii−i22-2-22-22-122-1-222-2-2-2-2112-2-12-1-1-1-112-2-12-1-1-111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000−2i2i00−2i2i000000000000i−ii−i
χ3322-2-22-2-122-121-1-111-2-2-2-221-1-12-1-12-22-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-211112i2i−2i−2i0000002i−2i00−i−iii−i−iii0000000022-2-22-2-122-121-1-111-2-2-2-221-1-12-1-12-22-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-211112i2i−2i−2i0000002i−2i00−i−iii−i−iii00000000
χ3422-2-22-2-122-121-1-111-2-2-2-221-1-12-1-12-22-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111−2i−2i2i2i000000−2i2i00ii−i−iii−i−i0000000022-2-22-2-122-121-1-111-2-2-2-221-1-12-1-12-22-2-1-12-1-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111−2i−2i2i2i000000−2i2i00ii−i−iii−i−i00000000
χ3522-2-2-2222-122-2-2-22211-2-2-1-22-1-1-1-1-221-12-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100002-2-2200000000000000-111-1000022-2-2-2222-122-2-2-22211-2-2-1-22-1-1-1-1-221-12-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100002-2-2200000000000000-111-10000
χ3622-2-2-2222-122-2-2-22211-2-2-1-22-1-1-1-1-221-12-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-222-2000000000000001-1-11000022-2-2-2222-122-2-2-22211-2-2-1-22-1-1-1-1-221-12-1-1-1-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-222-2000000000000001-1-110000
χ3722-2-2-222-122-1-2-2-222-2-2112-2-12-1-1-11-1-22-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002i−2i00−2i2i000000000000i−i−ii22-2-2-222-122-1-2-2-222-2-2112-2-12-1-1-11-1-22-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002i−2i00−2i2i000000000000i−i−ii
χ3822-2-2-222-122-1-2-2-222-2-2112-2-12-1-1-11-1-22-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000−2i2i002i−2i000000000000−iii−i22-2-2-222-122-1-2-2-222-2-2112-2-12-1-1-11-1-22-12-1-1-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000−2i2i002i−2i000000000000−iii−i
χ3922-2-2-22-122-12111-1-1-2-2-2-221-1-12-1-1-22-22-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-12i2i−2i−2i000000−2i2i00−i−iiiii−i−i0000000022-2-2-22-122-12111-1-1-2-2-2-221-1-12-1-1-22-22-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-12i2i−2i−2i000000−2i2i00−i−iiiii−i−i00000000
χ4022-2-2-22-122-12111-1-1-2-2-2-221-1-12-1-1-22-22-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1−2i−2i2i2i0000002i−2i00ii−i−i−i−iii0000000022-2-2-22-122-12111-1-1-2-2-2-221-1-12-1-1-22-22-1-12-1-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1−2i−2i2i2i0000002i−2i00ii−i−i−i−iii00000000
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χ1834-4-44004-2-2-42-400002-22-224-2-2111000022-1-1-12-22-2-11-1-11100003-33-3-330000-33-333-3000000000000000000000000000000-444-400-4224-240000-22-22-2-422-1-1-10000-2-2111-22-221-111-1-10000-33-333-300003-33-3-33000000000000000000000000000000
χ1844-4-44004-2-2-42-400002-22-224-2-2111000022-1-1-12-22-2-11-1-1110000-33-333-300003-33-3-33000000000000000000000000000000-444-400-4224-240000-22-22-2-422-1-1-10000-2-2111-22-221-111-1-100003-33-3-330000-33-333-3000000000000000000000000000000
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χ1904-4-4400-2-2-2222−2i32i32i3−2i32-22-22-2111−1+3i32−1−3i320000-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000-444-400222-2-2-22i3−2i3−2i32i3-22-22-22-1-1-11−3i321+3i320000111−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000
χ1914-4-4400-2-2-22222i3−2i3−2i32i32-22-22-2111−1−3i32−1+3i320000-1-1-11+3i321−3i32-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000-444-400222-2-2-2−2i32i32i3−2i3-22-22-22-1-1-11+3i321−3i320000111−1−3i32−1+3i321-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000
χ1924-4-4400-2-2-22222i3−2i3−2i32i32-22-22-2111−1+3i32−1−3i320000-1-1-11−3i321+3i32-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000-444-400222-2-2-2−2i32i32i3−2i3-22-22-22-1-1-11−3i321+3i320000111−1+3i32−1−3i321-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000

Here i is the imaginary unit (i² = −1).