Finite Group Databasebeta

← Group #13161128

Character table — Group #13161128

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222444444444444444444444444441818181836362222444444444444444444888888888888888888888888883636363672723333666666666666666666121212121212121212121212121212121212121212121212121254545454108108
order1222333344666666666666441212121212121212121212121212121212121212121212128888443666333312126666666666661212121212121212121212121212121212121212121212121212242424241212222266664466666666666644121212121212121212121212121212121212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51-11-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−i1-11-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−i1-11-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−ii−i
χ61-11-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii1-11-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii1-11-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−ii
χ71-11-111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−ii1-11-111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−ii1-11-111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−ii
χ81-11-111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−i1-11-111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−i1-11-111111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiii−i
χ922222222-2-222222222222200-2-2-2-2-2-2-2-2000000000000000000000022222222-2-222222222222200-2-2-2-2-2-2-2-2000000000000000000000022222222-2-222222222222200-2-2-2-2-2-2-2-20000000000000000000000
χ1022222-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022222-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022222-1-1-12222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000
χ1122222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-211111100000022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-211111100000022222-1-1-12222-1-1-1-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111000000
χ1222222-1-1-1-2-222-1-1-1-1-1-12-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000
χ1322222-1-1-1-2-222-1-1-1-1-1-12-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000022222-1-1-1-2-222-1-1-1-1-1-12-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000
χ142222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-10000002222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-10000002222-12-1-122-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1000000
χ152222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-2110000002222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-2110000002222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-12-1-1-12-1-111-211-21111-211-211000000
χ162222-12-1-1-2-2-1-122-1-1-1-1-12-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000
χ172222-12-1-1-2-2-1-122-1-1-1-1-12-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000002222-12-1-1-2-2-1-122-1-1-1-1-12-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000
χ182222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-120000002222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-120000002222-1-12-122-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12000000
χ192222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-20000002222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-20000002222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2000000
χ202222-1-12-1-2-2-1-1-1-122-1-1-1-12-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000002222-1-12-1-2-2-1-1-1-122-1-1-1-12-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000002222-1-12-1-2-2-1-1-1-122-1-1-1-12-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000
χ212222-1-12-1-2-2-1-1-1-122-1-1-1-12-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000002222-1-12-1-2-2-1-1-1-122-1-1-1-12-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000002222-1-12-1-2-2-1-1-1-122-1-1-1-12-10011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000
χ222222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-10000002222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-10000002222-1-1-1222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-1-12-12-1-1-1-1-12-12-1000000
χ232222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-1-1-12-1-1-121111-21-211111-21-210000002222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-1-1-12-1-1-121111-21-211111-21-210000002222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-1-1-12-1-1-121111-21-211111-21-21000000
χ242222-1-1-12-2-2-1-1-1-1-1-122-1-1-1200111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-1200111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-1200111-2111-2−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3000000
χ252222-1-1-12-2-2-1-1-1-1-1-122-1-1-1200111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-1200111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000002222-1-1-12-2-2-1-1-1-1-1-122-1-1-1200111-2111-2i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000
χ2622-2-22222002-22-22-22-2-2-2-2-2000000000000000000000000002−22−20022-2-22222002-22-22-22-2-2-2-2-2000000000000000000000000002−22−20022-2-22222002-22-22-22-2-2-2-2-2000000000000000000000000002−22−200
χ2722-2-22222002-22-22-22-2-2-2-2-200000000000000000000000000−22−220022-2-22222002-22-22-22-2-2-2-2-200000000000000000000000000−22−220022-2-22222002-22-22-22-2-2-2-2-200000000000000000000000000−22−2200
χ282-22-22222-22-2-2-2-2-2-2-2-2222200-2-2-2-2222200000000000000000000002-22-22222-22-2-2-2-2-2-2-2-2222200-2-2-2-2222200000000000000000000002-22-22222-22-2-2-2-2-2-2-2-2222200-2-2-2-222220000000000000000000000
χ292-22-22-1-1-12-2-2-21111112-1-1-12-22-1-1-1-211122-1-1-1-1-1-1-2-21111110000002-22-22-1-1-12-2-2-21111112-1-1-12-22-1-1-1-211122-1-1-1-1-1-1-2-21111110000002-22-22-1-1-12-2-2-21111112-1-1-12-22-1-1-1-211122-1-1-1-1-1-1-2-2111111000000
χ302-22-22-1-1-12-2-2-21111112-1-1-1-222-1-1-1-2111-2-211111122-1-1-1-1-1-10000002-22-22-1-1-12-2-2-21111112-1-1-1-222-1-1-1-2111-2-211111122-1-1-1-1-1-10000002-22-22-1-1-12-2-2-21111112-1-1-1-222-1-1-1-2111-2-211111122-1-1-1-1-1-1000000
χ312-22-22-1-1-1-22-2-21111112-1-1-100-21112-1-1-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000002-22-22-1-1-1-22-2-21111112-1-1-100-21112-1-1-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000002-22-22-1-1-1-22-2-21111112-1-1-100-21112-1-1-100−i3−i3−i3i3i3i300i3i3i3−i3−i3−i3000000
χ322-22-22-1-1-1-22-2-21111112-1-1-100-21112-1-1-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000002-22-22-1-1-1-22-2-21111112-1-1-100-21112-1-1-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000002-22-22-1-1-1-22-2-21111112-1-1-100-21112-1-1-100i3i3i3−i3−i3−i300−i3−i3−i3i3i3i3000000
χ332-22-2-12-1-12-211-2-21111-12-1-12-2-12-1-11-211-1-12-1-12-1-111-211-2110000002-22-2-12-1-12-211-2-21111-12-1-12-2-12-1-11-211-1-12-1-12-1-111-211-2110000002-22-2-12-1-12-211-2-21111-12-1-12-2-12-1-11-211-1-12-1-12-1-111-211-211000000
χ342-22-2-12-1-12-211-2-21111-12-1-1-22-12-1-11-21111-211-211-1-12-1-12-1-10000002-22-2-12-1-12-211-2-21111-12-1-1-22-12-1-11-21111-211-211-1-12-1-12-1-10000002-22-2-12-1-12-211-2-21111-12-1-1-22-12-1-11-21111-211-211-1-12-1-12-1-1000000
χ352-22-2-12-1-1-2211-2-21111-12-1-1001-211-12-1-1−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000002-22-2-12-1-1-2211-2-21111-12-1-1001-211-12-1-1−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000002-22-2-12-1-1-2211-2-21111-12-1-1001-211-12-1-1−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3000000
χ362-22-2-12-1-1-2211-2-21111-12-1-1001-211-12-1-1i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000002-22-2-12-1-1-2211-2-21111-12-1-1001-211-12-1-1i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000002-22-2-12-1-1-2211-2-21111-12-1-1001-211-12-1-1i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3000000
χ372-22-2-1-12-12-21111-2-211-1-12-12-2-1-12-111-21-1-1-12-1-1-12111-2111-20000002-22-2-1-12-12-21111-2-211-1-12-12-2-1-12-111-21-1-1-12-1-1-12111-2111-20000002-22-2-1-12-12-21111-2-211-1-12-12-2-1-12-111-21-1-1-12-1-1-12111-2111-2000000
χ382-22-2-1-12-12-21111-2-211-1-12-1-22-1-12-111-21111-2111-2-1-1-12-1-1-120000002-22-2-1-12-12-21111-2-211-1-12-1-22-1-12-111-21111-2111-2-1-1-12-1-1-120000002-22-2-1-12-12-21111-2-211-1-12-1-22-1-12-111-21111-2111-2-1-1-12-1-1-12000000
χ392-22-2-1-12-1-221111-2-211-1-12-10011-21-1-12-1−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000002-22-2-1-12-1-221111-2-211-1-12-10011-21-1-12-1−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000002-22-2-1-12-1-221111-2-211-1-12-10011-21-1-12-1−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30000000
χ402-22-2-1-12-1-221111-2-211-1-12-10011-21-1-12-1i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000002-22-2-1-12-1-221111-2-211-1-12-10011-21-1-12-1i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000002-22-2-1-12-1-221111-2-211-1-12-10011-21-1-12-1i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30000000
χ412-22-2-1-1-122-2111111-2-2-1-1-122-2-1-1-12111-2-1-1-1-12-12-11111-21-210000002-22-2-1-1-122-2111111-2-2-1-1-122-2-1-1-12111-2-1-1-1-12-12-11111-21-210000002-22-2-1-1-122-2111111-2-2-1-1-122-2-1-1-12111-2-1-1-1-12-12-11111-21-21000000
χ422-22-2-1-1-122-2111111-2-2-1-1-12-22-1-1-12111-21111-21-21-1-1-1-12-12-10000002-22-2-1-1-122-2111111-2-2-1-1-12-22-1-1-12111-21111-21-21-1-1-1-12-12-10000002-22-2-1-1-122-2111111-2-2-1-1-12-22-1-1-12111-21111-21-21-1-1-1-12-12-1000000
χ432-22-2-1-1-12-22111111-2-2-1-1-1200111-2-1-1-12−i3i3−i3i30i30−i3i3−i3i3−i30−i30i30000002-22-2-1-1-12-22111111-2-2-1-1-1200111-2-1-1-12−i3i3−i3i30i30−i3i3−i3i3−i30−i30i30000002-22-2-1-1-12-22111111-2-2-1-1-1200111-2-1-1-12−i3i3−i3i30i30−i3i3−i3i3−i30−i30i3000000
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χ1628-8-88-4-4-48004-44-44-4-88444-800000000000000000000000000000000-444-4222-400-22-22-224-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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