Finite Group Databasebeta

← Group #11771129

Character table — Group #11771129

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12224444334444444466666612121212121212121212121212121212234666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121288888888242424242424242424242424242424248888242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1iiii−i−i−i−i
χ61111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-11111−i−i−i−iiiii
χ71111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1−i−i−i−iiiii
χ81111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-11111iiii−i−i−i−i
χ91111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−iiii−i−i−i−iii-1-11111-1-1
χ141111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−iii−i−i−iiiii−i−i11-1-1-1-111
χ151111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−iiii−i−i−i−iii11-1-1-1-111
χ161111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−i−iiiii−i−i-1-11111-1-1
χ17222222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-222-22-2-2-2-2-2-2-2-2-2222-2-2-2-22222-2-22222-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ182222222222-2-22222-2-22222222222222222222222-22-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-122222222222-1-1-12222-1-122222222-1-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ20222222222-122222222222-1-1-12222-1-122222222-1-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ21222222222-122-2-2-2-222222-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-2-1-2-2-2111111-1-1-1-2-21122-1-11122-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ22222222222-122-2-2-2-222222-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-1-2-1-2-2-2111111-1-1-1-2-21122-1-11122-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ23222222222-1-2-22222-2-2222-1-1-12222-1-122222222-1-1-2-1-2-2-2111111-1-1-1-2-211-2-211-1-1-2-211-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ24222222222-1-2-22222-2-2222-1-1-12222-1-122222222-1-1-2-1-2-2-2111111-1-1-1-2-211-2-211-1-1-2-211-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ25222222222-1-2-2-2-2-2-2-2-2222-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-2-21111-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ26222222222-1-2-2-2-2-2-2-2-2222-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-12-1222-1-1-1-1-1-1-1-1-122-1-1-2-21111-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ2722222222-1222222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-1222222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1222-12-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2922222222-1222-2-2-2-222-1-1-1222-1-1-1-1221111111122-2-1-211-2-21111-1-1-111-2-2-1-122-2-2-1-122-2-21111-1-1-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ3022222222-1222-2-2-2-222-1-1-1222-1-1-1-1221111111122-2-1-211-2-21111-1-1-111-2-2-1-122-2-2-1-122-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ3122222222-12-2-22222-2-2-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-2-1-211-2-21111-1-1-111-2-211-2-22211-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3222222222-12-2-22222-2-2-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-2-1-211-2-21111-1-1-111-2-211-2-22211-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3322222222-12-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-12211111111222-12-1-122-1-1-1-1-1-1-1-1-12211-2-2-2-211-2-2-2-2-1-1-1-1-1-1-1-111111111111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ3422222222-12-2-2-2-2-2-2-2-2-1-1-1222-1-1-1-12211111111222-12-1-122-1-1-1-1-1-1-1-1-12211-2-2-2-211-2-2-2-2-1-1-1-1-1-1-1-11111111111111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ352222-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2-2-222-222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ362222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22222-2-222-222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ372222-2-2-2-22-12222-2-2-2-2222-1-1-1-2-2-2-2112222-2-2-2-2112-1-222-1-1-1-1-1-1-1-1-1-2-21122-1-111-2-211-1-111111111-1-1-1-111111111-1-1-1-100000000000000000000000000003−3−333−3−3300000000
χ382222-2-2-2-22-12222-2-2-2-2222-1-1-1-2-2-2-2112222-2-2-2-2112-1-222-1-1-1-1-1-1-1-1-1-2-21122-1-111-2-211-1-111111111-1-1-1-111111111-1-1-1-10000000000000000000000000000−333−3−333−300000000
χ392222-2-2-2-22-122-2-222-2-2222-1-1-1-2-2-2-211-2-2-2-2222211-2-12-2-2111111-1-1-122-1-122-1-1-1-1-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ402222-2-2-2-22-122-2-222-2-2222-1-1-1-2-2-2-211-2-2-2-2222211-2-12-2-2111111-1-1-122-1-122-1-1-1-1-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ412222-2-2-2-22-1-2-222-2-222222-1-1-1-2-2-2-2112222-2-2-2-211-2-12-2-2111111-1-1-122-1-1-2-2111122-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ422222-2-2-2-22-1-2-222-2-222222-1-1-1-2-2-2-2112222-2-2-2-211-2-12-2-2111111-1-1-122-1-1-2-2111122-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ432222-2-2-2-22-1-2-2-2-22222222-1-1-1-2-2-2-211-2-2-2-22222112-1-222-1-1-1-1-1-1-1-1-1-2-211-2-211-1-122-1-111111111111111-1-1-1-1-1-1-1-1111100000000000000000000000000003−3−33−333−300000000
χ442222-2-2-2-22-1-2-2-2-22222222-1-1-1-2-2-2-211-2-2-2-22222112-1-222-1-1-1-1-1-1-1-1-1-2-211-2-211-1-122-1-111111111111111-1-1-1-1-1-1-1-111110000000000000000000000000000−333−33−3−3300000000
χ452222-2-2-2-2-122222-2-2-2-2-1-1-12221111-2-2-1-1-1-11111-2-22-1-2-1-122-1-1-1-1-1-1-111-2-2-1-122-2-211-2-22211111111-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−33300000000000000000000
χ462222-2-2-2-2-122222-2-2-2-2-1-1-12221111-2-2-1-1-1-11111-2-22-1-2-1-122-1-1-1-1-1-1-111-2-2-1-122-2-211-2-22211111111-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−300000000000000000000
χ472222-2-2-2-2-1222-2-222-2-2-1-1-12221111-2-21111-1-1-1-1-2-2-2-1211-2-21111-1-1-1-1-122-1-1222211-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ482222-2-2-2-2-1222-2-222-2-2-1-1-12221111-2-21111-1-1-1-1-2-2-2-1211-2-21111-1-1-1-1-122-1-1222211-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ492222-2-2-2-2-12-2-222-2-222-1-1-12221111-2-2-1-1-1-11111-2-2-2-1211-2-21111-1-1-1-1-12211-2-2-2-2-1-12222-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ502222-2-2-2-2-12-2-222-2-222-1-1-12221111-2-2-1-1-1-11111-2-2-2-1211-2-21111-1-1-1-1-12211-2-2-2-2-1-12222-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ512222-2-2-2-2-12-2-2-2-22222-1-1-12221111-2-21111-1-1-1-1-2-22-1-2-1-122-1-1-1-1-1-1-111-2-211-2-222-1-122-2-2111111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ522222-2-2-2-2-12-2-2-2-22222-1-1-12221111-2-21111-1-1-1-1-2-22-1-2-1-122-1-1-1-1-1-1-111-2-211-2-222-1-122-2-2111111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ5322-2-22i−2i2i−2i22002i−2i2-2002-2-22-2-22i2i−2i−2i2i−2i2i2i−2i−2i22-2-22i−2i020000000002-2-2000000002-200002i−2i00002i2i−2i−2i000022-2-200002i2i−2i−2i0000000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i
χ5422-2-22i−2i2i−2i22002i−2i2-2002-2-22-2-22i2i−2i−2i2i−2i2i2i−2i−2i22-2-22i−2i020000000002-2-2000000002-200002i−2i00002i2i−2i−2i000022-2-200002i2i−2i−2i000000000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i
χ5522-2-22i−2i2i−2i2200−2i2i-22002-2-22-2-22i2i−2i−2i2i−2i−2i−2i2i2i-2-2222i−2i020000000002-2-200000000-220000−2i2i00002i2i−2i−2i0000-2-2220000−2i−2i2i2i0000000000000000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i
χ5622-2-22i−2i2i−2i2200−2i2i-22002-2-22-2-22i2i−2i−2i2i−2i−2i−2i2i2i-2-2222i−2i020000000002-2-200000000-220000−2i2i00002i2i−2i−2i0000-2-2220000−2i−2i2i2i000000000000000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i
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χ1244-4-4444-4-4-240000000022-2-4-44-222-24423−23−2323−232323−23-4-40-200000000022-200000000000000000000-222-20000−232323−23000023−23−232300000000000000000000000000000000000000000000
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χ1264-4-4444-4-4-2-20000000022-222-2-222-2-2-223−23−2323−232323−232201000−2i32i3i3−i3−i3i3-1-1100−2i32i3000000000000i3−i3−i3i31-1-11−3i3i3i−3i3−3−333i−3i−3i3i−333−300000000000000000000000000000000000000000000
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χ1284-4-4444-4-4-2-20000000022-222-2-222-2-2-2−232323−2323−23−23232201000−2i32i3i3−i3−i3i3-1-1100−2i32i3000000000000i3−i3−i3i31-1-113i−3i−3i3i−333−3−3i3i3i−3i3−3−3300000000000000000000000000000000000000000000
χ1294-4-4444-4-4-2-20000000022-222-2-222-2-2-2−232323−2323−23−232322010002i3−2i3−i3i3i3−i3-1-11002i3−2i3000000000000−i3i3i3−i31-1-11−3i3i3i−3i−333−33i−3i−3i3i3−3−3300000000000000000000000000000000000000000000
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χ1314-4-44-4-4444-200000000-4-4422-2-444-42200000000-2-20-2000−2i32i3−2i32i32i3−2i322-2002i3−2i30000000000002i3−2i3−2i32i32-2-22000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-4-4444-200000000-4-4422-2-444-42200000000-2-20-20002i3−2i32i3−2i3−2i32i322-200−2i32i3000000000000−2i32i32i3−2i32-2-22000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-4-444-240000000022-2-4-442-2-22-4-423−23−232323−23−2323440-200000000022-2000000000000000000002-2-22000023−23−2323000023−23−232300000000000000000000000000000000000000000000
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χ1354-4-44-4-444-2-20000000022-222-22-2-222223−23−232323−23−2323-2-201000−2i32i3i3−i3−i3i3-1-11002i3−2i3000000000000−i3i3i3−i3-111-1−3i3i3i−3i−333−3−3i3i3i−3i−333−300000000000000000000000000000000000000000000
χ1364-4-44-4-444-2-20000000022-222-22-2-222223−23−232323−23−2323-2-2010002i3−2i3−i3i3i3−i3-1-1100−2i32i3000000000000i3−i3−i3i3-111-13i−3i−3i3i−333−33i−3i−3i3i−333−300000000000000000000000000000000000000000000
χ1374-4-44-4-444-2-20000000022-222-22-2-2222−232323−23−232323−23-2-201000−2i32i3i3−i3−i3i3-1-11002i3−2i3000000000000−i3i3i3−i3-111-13i−3i−3i3i3−3−333i−3i−3i3i3−3−3300000000000000000000000000000000000000000000
χ1384-4-44-4-444-2-20000000022-222-22-2-2222−232323−23−232323−23-2-2010002i3−2i3−i3i3i3−i3-1-1100−2i32i3000000000000i3−i3−i3i3-111-1−3i3i3i−3i3−3−33−3i3i3i−3i3−3−3300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.