Finite Group Databasebeta

← Group #11799834

Character table — Group #11799834

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444448888888888888888888888888888888888883636363636363636144144
order122233334444666666666666888812121212121212121212121212121212266666666881212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212121212121212121212121212121212121212121212121212161616161616161624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1
χ6111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ7111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11
χ8111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-1
χ9222222222222222222222222-2-2-2-22222222222222222222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000
χ10222222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222220000000000000000000000000000000000000000000000
χ1122222222-222-222222222222200002222222222222222-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022−2−222−2−200
χ1222222222-222-222222222222200002222222222222222-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2−222−2−22200
χ1322222222-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222200-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022−2−2−2−22200
χ1422222222-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222200-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000−2−22222−2−200
χ1522222-1-1-122222-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ1622222-1-1-122222-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111110000000000
χ1722222-1-1-122222-1-1-122-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000000000
χ1822222-1-1-122222-1-1-122-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000000000
χ1922222-1-1-12-2-222-1-1-122-1-1-1-1-1-12222-2-2-2-2111111111111-2-2-2111111-2-22-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000
χ2022222-1-1-12-2-222-1-1-122-1-1-1-1-1-12222-2-2-2-2111111111111-2-2-2111111-2-22-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-222-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ2122222-1-1-12-2-222-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2111111222-1-1-12-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000000000
χ2222222-1-1-12-2-222-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2111111222-1-1-12-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000000000
χ232222-12-1-12222-12-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ242222-12-1-12222-12-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-122-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-21111-2-211111111-2-21111-2-211110000000000
χ252222-12-1-12222-12-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30000000000
χ262222-12-1-12222-12-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2-2-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30000000000
χ272222-12-1-12-2-22-12-1-1-1-122-1-1-1-122221111-2-2-2-211111111-211-2-21111-2-2-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122-2-2-1-1-1-122-1-1-1-122-1-1-1-11111-2-21111-2-211110000000000
χ282222-12-1-12-2-22-12-1-1-1-122-1-1-1-122221111-2-2-2-211111111-211-2-21111-2-2-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2221111-2-21111-2-21111-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ292222-12-1-12-2-22-12-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-211111111-211-2-2111122-12-1-1-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30000000000
χ302222-12-1-12-2-22-12-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-211111111-211-2-2111122-12-1-1-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30000000000
χ312222-1-12-12222-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ322222-1-12-12222-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-20000000000
χ332222-1-12-12222-1-12-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-2-2-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211110000−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000000000000
χ342222-1-12-12222-1-12-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-2-2-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-211110000i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000000000000
χ352222-1-12-12-2-22-1-12-1-1-1-1-122-1-1222211111111-2-2-2-21111-21111-2-211-2-2-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111122-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-20000000000
χ362222-1-12-12-2-22-1-12-1-1-1-1-122-1-1222211111111-2-2-2-21111-21111-2-211-2-2-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ372222-1-12-12-2-22-1-12-1-1-1-1-122-1-1-2-2-2-211111111-2-2-2-21111-21111-2-21122-1-12-1-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000000000000
χ382222-1-12-12-2-22-1-12-1-1-1-1-122-1-1-2-2-2-211111111-2-2-2-21111-21111-2-21122-1-12-1-1-12-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000000000000
χ392222-1-1-122222-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-10000000000
χ402222-1-1-122222-1-1-12-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-2-211-2-21111111111-2-211-2-2110000000000
χ412222-1-1-122222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-2-2-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-20000−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30000000000
χ422222-1-1-122222-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-2-2-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-20000i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30000000000
χ432222-1-1-122-2-22-1-1-12-1-1-1-1-1-1222222111111111111-2-2-2-2-2111111-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-222-2-2-1-1-1-1-1-1-1-122-1-122-1-111111111-2-211-2-2110000000000
χ442222-1-1-122-2-22-1-1-12-1-1-1-1-1-1222222111111111111-2-2-2-2-2111111-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-2-22211111111-2-211-2-211-1-1-1-1-1-1-1-122-1-122-1-10000000000
χ452222-1-1-122-2-22-1-1-12-1-1-1-1-1-122-2-2-2-2111111111111-2-2-2-2-2111111-2-222-1-1-12-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122220000−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30000000000
χ462222-1-1-122-2-22-1-1-12-1-1-1-1-1-122-2-2-2-2111111111111-2-2-2-2-2111111-2-222-1-1-12-1-1-12111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122220000i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30000000000
χ4722-2-22222-20022222-2-2-2-2-2-2-2-222-2-2000000000000000000000000000-2-2-2-2222222-2-222-2-222-2-222-2-20000000000000000002i−2i00000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000
χ4822-2-22222-20022222-2-2-2-2-2-2-2-222-2-2000000000000000000000000000-2-2-2-2222222-2-222-2-222-2-222-2-2000000000000000000−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000
χ4922-2-22222-20022222-2-2-2-2-2-2-2-2-2-222000000000000000000000000000-2-2-2-22222-2-222-2-222-2-222-2-22200000000000000002i−2i002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ5022-2-22222-20022222-2-2-2-2-2-2-2-2-2-222000000000000000000000000000-2-2-2-22222-2-222-2-222-2-222-2-2220000000000000000−2i2i00−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ5122-2-22-1-1-1-20022-1-1-1-2-211111122-2-20000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−i3i3−i3i3−i3i300-21112-1-1-122-2-2-1-111-1-111-1-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002i−2i00003−33−33−3−33−33−332i−2i2i−2i−ii−ii−ii−ii−ii−ii0000000000
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χ1114-44-44-2-2-20−4i4i0-42224-4-22-22-22−2222−2222−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000−2i22i200000000−2222−22222−22−22−22−22−22−2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000000000000000000
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χ1134-44-4-24-2-204i−4i02-422-224-4-22-22−2222−2222−2i2i−2i2i4i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000000002i2−2i2000000002−22−2−2222−22222−22−22−22−2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000000000000
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χ1204-44-4-2-2-2404i−4i0222-4-22-22-224-422−2222−22−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i4i−4i4i−4i000000000−2i22i200000000−22−22−22−22−22−2222−2222−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i20000000000000000000000000000000000000000000000
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χ1284-4-444-2-2-20000-4222-442-22-22-2−222222−22000023−23−232323−23−232323−23−23230000000000000000000−222222−222−2−222−2−222−2−2200006−6−666−6−666−6−660000000000000000000000000000000000000000000000
χ1294-4-444-2-2-20000-4222-442-22-22-2−222222−220000−232323−23−232323−23−232323−230000000000000000000−222222−222−2−222−2−222−2−220000−666−6−666−6−666−60000000000000000000000000000000000000000000000
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χ1314-4-44-24-2-200002-4222-2-442-22-222−22−2222−232323−230000−232323−2323−23−23230000000000000000000−222−222−22−2222−222−2−222−26−6−6600006−6−66−666−60000000000000000000000000000000000000000000000
χ1324-4-44-24-2-200002-4222-2-442-22-2−222222−2223−23−2323000023−23−2323−232323−2300000000000000000002−2−22−222222−222−2−222−2−226−6−6600006−6−66−666−60000000000000000000000000000000000000000000000
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χ1344-4-44-2-24-2000022-422-22-2-442-222−22−222223−23−2323−232323−23000023−23−23230000000000000000000−222−2−222−222−22−2222−222−2−666−66−6−660000−666−60000000000000000000000000000000000000000000000
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χ1374-4-44-2-24-2000022-422-22-2-442-2−222222−22−232323−2323−23−23230000−232323−2300000000000000000002−2−222−2−22−222222−222−2−22−666−66−6−660000−666−60000000000000000000000000000000000000000000000
χ1384-4-44-2-2-240000222-42-22-22-2-4422−22−222223−23−232323−23−2323−232323−2300000000000000000000000−222−2−222−2−222−222−22−2222−666−6−666−66−6−6600000000000000000000000000000000000000000000000000
χ1394-4-44-2-2-240000222-42-22-22-2-4422−22−2222−232323−23−232323−2323−23−232300000000000000000000000−222−2−222−2−222−222−22−22226−6−666−6−66−666−600000000000000000000000000000000000000000000000000
χ1404-4-44-2-2-240000222-42-22-22-2-44−222222−2223−23−232323−23−2323−232323−23000000000000000000000002−2−222−2−222−2−22−222222−226−6−666−6−66−666−600000000000000000000000000000000000000000000000000
χ1414-4-44-2-2-240000222-42-22-22-2-44−222222−22−232323−23−232323−2323−23−2323000000000000000000000002−2−222−2−222−2−22−222222−22−666−6−666−66−6−6600000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.