Finite Group Databasebeta

← Group #11790817

Character table — Group #11790817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222444422334466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222446666888812121212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1−ii−ii1111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1i−i−ii-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1−iii−i-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111−iii−i11-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222-122222-1-1-122-1-1-1-122-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-10000000000000000
χ1822222222222-122222-1-1-122-1-1-1-122-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111000011110000000000000000
χ1922222222222-122222-1-1-122-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-111111111111111112-22-2-1-1110000-1-1110000000000000000
χ2022222222222-122222-1-1-122-1-1-1-122-1-2-2-2-222-1-1-1-1-1-1-1-1-122-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-11111111111111111-22-2211-1-1000011-1-10000000000000000
χ212222222222-1222-1-1-1222-1-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000
χ222222222222-1222-1-1-1222-1-12222-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100000000
χ232222222222-1222-1-1-1222-1-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-222-1-1-1-1-1-1-1-111111111111111110000000022-2-20000-1-1-1-1111100000000
χ242222222222-1222-1-1-1222-1-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-222-1-1-1-1-1-1-1-1111111111111111100000000-2-22200001111-1-1-1-100000000
χ2522222222-2-222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2222-2-222-2-222-2-222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2622222222-2-222-2-2222222222222222-22-22-2-2-2-2-2-2-2-2222-2-2-2-222-2-222-2-222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2722222222-2-22-1-2-2222-1-1-122-1-1-1-122-12-22-2-2-2111111-1-1-1-2-222-2-2-1-11122-2-2-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111110000−i3i3−i3i30000−i3i3−i3i30000000000000000
χ2822222222-2-22-1-2-2222-1-1-122-1-1-1-122-12-22-2-2-2111111-1-1-1-2-222-2-2-1-11122-2-2-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111110000i3−i3i3−i30000i3−i3i3−i30000000000000000
χ2922222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-22-22-2-2111111-1-1-1-2-2-2-22211-1-1-2-22211-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-10000−i3i3i3−i30000−i3i3i3−i30000000000000000
χ3022222222-2-22-1-2-2222-1-1-122-1-1-1-122-1-22-22-2-2111111-1-1-1-2-2-2-22211-1-1-2-22211-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-10000i3−i3−i3i30000i3−i3−i3i30000000000000000
χ3122222222-2-2-12-2-2-1-1-1222-1-12222-1-1-12-22-211-2-21111-1-1-111-1-11122-2-2-1-11122-2-2-2-21111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ3222222222-2-2-12-2-2-1-1-1222-1-12222-1-1-12-22-211-2-21111-1-1-111-1-11122-2-2-1-11122-2-2-2-21111-1-1-1-1-1-1-1-11111-1-1-1-111110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ3322222222-2-2-12-2-2-1-1-1222-1-12222-1-1-1-22-2211-2-21111-1-1-11111-1-1-2-22211-1-1-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-2-2-12-2-2-1-1-1222-1-12222-1-1-1-22-2211-2-21111-1-1-11111-1-1-2-22211-1-1-2-222-2-21111-1-1-1-11111-1-1-1-11111-1-1-1-10000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ352222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222-2-2222222222222-2-222-2-222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ362222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22-222-222222222222-2-2-2-222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000
χ372222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-2-2222-1-1-1-1-1-1-1-1-1-2-222-2-2-1-111-2-22211-1-11111111111-1-1-1-111111111-1-1-1-10000−i3i3−i3i30000i3−i3i3−i30000000000000000
χ382222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-12-2-2222-1-1-1-1-1-1-1-1-1-2-222-2-2-1-111-2-22211-1-11111111111-1-1-1-111111111-1-1-1-10000i3−i3i3−i30000−i3i3−i3i30000000000000000
χ392222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-1-222-222-1-1-1-1-1-1-1-1-1-2-2-2-22211-1-122-2-2-1-11111111111111111-1-1-1-1-1-1-1-111110000−i3i3i3−i30000i3−i3−i3i30000000000000000
χ402222-2-2-2-2222-1-2-2222-1-1-1-2-21111-2-2-1-222-222-1-1-1-1-1-1-1-1-1-2-2-2-22211-1-122-2-2-1-11111111111111111-1-1-1-1-1-1-1-111110000i3−i3−i3i30000−i3i3i3−i30000000000000000
χ412222-2-2-2-222-12-2-2-1-1-122211-2-2-2-211-12-2-22-1-122-1-1-1-1-1-1-111-1-11122-2-211-1-1-2-222-2-211111111-1-1-1-111111111-1-1-1-100000000000000003−3−333−3−3300000000
χ422222-2-2-2-222-12-2-2-1-1-122211-2-2-2-211-12-2-22-1-122-1-1-1-1-1-1-111-1-11122-2-211-1-1-2-222-2-211111111-1-1-1-111111111-1-1-1-10000000000000000−333−3−333−300000000
χ432222-2-2-2-222-12-2-2-1-1-122211-2-2-2-211-1-222-2-1-122-1-1-1-1-1-1-11111-1-1-2-222-1-11122-2-2-2-2111111111111-1-1-1-1-1-1-1-1111100000000000000003−3−33−333−300000000
χ442222-2-2-2-222-12-2-2-1-1-122211-2-2-2-211-1-222-2-1-122-1-1-1-1-1-1-11111-1-1-2-222-1-11122-2-2-2-2111111111111-1-1-1-1-1-1-1-111110000000000000000−333−33−3−3300000000
χ452222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-122-2-2-2-2111111-1-1-1222222-1-1-1-1-2-2-2-21111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-2-1-1-1-1000011110000000000000000
χ462222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-122-2-2-2-2111111-1-1-1222222-1-1-1-1-2-2-2-21111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-22211110000-1-1-1-10000000000000000
χ472222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-222-2-2111111-1-1-122-2-2-2-211112222-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-12-2-22-1-111000011-1-10000000000000000
χ482222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-222-2-2111111-1-1-122-2-2-2-211112222-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-222-211-1-10000-1-1110000000000000000
χ492222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-122-2-211-2-21111-1-1-1-1-1-1-1-1-122221111-2-2-2-222-1-1-1-11111-1-1-1-1-1-1-1-111111111000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ502222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-122-2-211-2-21111-1-1-1-1-1-1-1-1-122221111-2-2-2-222-1-1-1-11111-1-1-1-1-1-1-1-11111111100000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ512222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-1-2-22211-2-21111-1-1-1-1-11111-2-2-2-2-1-1-1-1222222-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ522222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-1-2-22211-2-21111-1-1-1-1-11111-2-2-2-2-1-1-1-1222222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ532-2-2222-2-22-2222-22-2-2-2-222222-2-2-2-2200002-22-222-2-22-2-22-200000000000000002-222-2-222-2-2000000000000000000000000000000000000000000002i−2i2i−2i
χ542-2-2222-2-22-2222-22-2-2-2-222222-2-2-2-2200002-22-222-2-22-2-22-200000000000000002-222-2-222-2-200000000000000000000000000000000000000000000−2i2i−2i2i
χ552-2-2222-2-2-2222-222-2-2-2-222222-2-2-2-220000-22-22-2-2222-2-2-220000000000000000-22-2-22222-2-200000000000000000000000000000000000000002i−2i2i−2i0000
χ562-2-2222-2-2-2222-222-2-2-2-222222-2-2-2-220000-22-22-2-2222-2-2-220000000000000000-22-2-22222-2-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ572-2-22-2-2222-222-222-2-2-2-22-2-2-2-22222200002-22-222-2-22-2-2-220000000000000000-22-2-222-2-22200000000000000000000000000000000000000002-2-220000
χ582-2-22-2-2222-222-222-2-2-2-22-2-2-2-22222200002-22-222-2-22-2-2-220000000000000000-22-2-222-2-2220000000000000000000000000000000000000000-222-20000
χ592-2-22-2-222-22222-22-2-2-2-22-2-2-2-2222220000-22-22-2-2222-2-22-200000000000000002-222-2-2-2-222000000000000000000000000000000000000000000002-2-22
χ602-2-22-2-222-22222-22-2-2-2-22-2-2-2-2222220000-22-22-2-2222-2-22-200000000000000002-222-2-2-2-22200000000000000000000000000000000000000000000-222-2
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-214444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-21111111-2-22222222222222222-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6344444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-214-44-42222-1-1-1-111122-2-222-2-222-2-222-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ6444444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21-44-442222-1-1-1-11112222-2-222-2-222-2-222-2-222-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ654444-4-4-4-444-2-2-4-4-2-2-2-2-2-22222222214-4-44-2-2-2-2111111122-2-222-2-22222-2-222-2-222-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ664444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-444-4-2-2-2-211111112222-2-222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000000000000000
χ674444-4-4-4-4-4-4-2-244-2-2-2-2-2-222222222144-4-42222-1-1-1-1111-2-2-2-2-2-2-2-2-2-222222222-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ684444-4-4-4-4-4-4-2-244-2-2-2-2-2-2222222221-4-4442222-1-1-1-1111-2-222222222-2-2-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ6944-4-44i−4i4i−4i004400-44-44-4-44i−4i4i−4i4i−4i4i−4i4000000000000-44-40000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ7044-4-44i−4i4i−4i004-200-44-4-2224i−4i−2i2i−2i2i4i−4i-20000000000002-22000000−2i32i300000023−2300000000−2i2i−2i2i−2i3−2i32i32i300002323−23−23000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).