Finite Group Databasebeta

← Group #11790008

Character table — Group #11790008

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122244442233446666661212121212121212366666666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242444668888121212121212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11ii−i−i11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111i−ii−i11-1-1-1-1ii−i−iii−i−iii−i−i11-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11ii−i−i11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111i−i−ii-1-111-1-1ii−i−i−i−iii−i−iii-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11ii−i−i11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-1−iii−i11-1-111−i−iiiii−i−i−i−iii-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11ii−i−i11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1−ii−ii-1-11111−i−iii−i−iiiii−i−i11-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11−i−iii11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111−ii−ii11-1-1-1-1−i−iii−i−iii−i−iii11-1-1
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11−i−iii11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111−iii−i-1-111-1-1−i−iiiii−i−iii−i−i-1-111
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11−i−iii11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-1i−i−ii11-1-111ii−i−i−i−iiiii−i−i-1-111
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11−i−iii11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1i−ii−i-1-11111ii−i−iii−i−i−i−iii11-1-1
χ1722222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12002-1-122000000-1-1-1-1-1-1000000000000
χ1822222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-211-2-2000000111111000000000000
χ1922222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112002-1-1-2-2000000-1-11111000000000000
χ2022222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-200-2112200000011-1-1-1-1000000000000
χ212222222222-122222-1-1-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000022-1-1-1-1000000-1-1-1-100000000
χ222222222222-122222-1-1-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2-200000-2-21111000000111100000000
χ232222222222-122222-1-1-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111102200000-2-2-1-1-1-1000000111100000000
χ242222222222-122222-1-1-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110-2-200000221111000000-1-1-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-222-22-2-2-2-2-2-2-2-2-2222222-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-22-22-22-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
χ2722222222-2-22-1-2-2-1-1222-122-1-1-1-122-1-2-211-1-11111-12-22-2-2-2111111-1-1-1-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-111110000−i3i300000000−i3i3−i3i3−i3i3000000000000
χ2822222222-2-22-1-2-2-1-1222-122-1-1-1-122-1-2-211-1-11111-12-22-2-2-2111111-1-1-1-1-1-111-1-11122-2-222-2-2-1-1-1-11111-1-1-1-111110000i3−i300000000i3−i3i3−i3i3−i3000000000000
χ2922222222-2-22-1-2-2-1-1222-122-1-1-1-122-1-2-211-1-11111-1-22-22-2-2111111-1-1-1-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000−i3i300000000−i3i3i3−i3i3−i3000000000000
χ3022222222-2-22-1-2-2-1-1222-122-1-1-1-122-1-2-211-1-11111-1-22-22-2-2111111-1-1-1-111-1-111-1-1-2-222-2-2221111-1-1-1-11111-1-1-1-10000i3−i300000000i3−i3−i3i3−i3i3000000000000
χ3122222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-2-1-11111-12-22-211-2-21111-1-1-1-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000000000−i3i3−i3i3000000−i3i3−i3i300000000
χ3222222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-2-1-11111-12-22-211-2-21111-1-1-1-122-2-222-2-2-1-111-1-111-1-1-1-11111-1-1-1-111110000000000i3−i3i3−i3000000i3−i3i3−i300000000
χ3322222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-2-1-11111-1-22-2211-2-21111-1-1-1-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000000000−i3i3−i3i3000000i3−i3i3−i300000000
χ3422222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-2-1-11111-1-22-2211-2-21111-1-1-1-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000000000i3−i3i3−i3000000−i3i3−i3i300000000
χ352222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222222i−2i−2i2i-2-2-2-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ362222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222222222−2i2i2i−2i-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ372222-2-2-2-2222-1-2-2-1-1222-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-12i−2i−2i2i-2-21111111111−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000−i3i300000000i3−i33−3−33000000000000
χ382222-2-2-2-2222-1-2-2-1-1222-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-12i−2i−2i2i-2-21111111111−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000i3−i300000000−i3i3−333−3000000000000
χ392222-2-2-2-2222-1-2-2-1-1222-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-1−2i2i2i−2i-2-21111111111ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000−i3i300000000i3−i3−333−3000000000000
χ402222-2-2-2-2222-1-2-2-1-1222-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-1−2i2i2i−2i-2-21111111111ii−i−i−i−iii−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000i3−i300000000−i3i33−3−33000000000000
χ412222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-122-1-1-1-1-1-1-12i−2i−2i2i11-2-2111111112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000−i3i3i3−i30000003−3−3300000000
χ422222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-122-1-1-1-1-1-1-12i−2i−2i2i11-2-2111111112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i0000000000i3−i3−i3i3000000−333−300000000
χ432222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-122-1-1-1-1-1-1-1−2i2i2i−2i11-2-211111111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000−i3i3i3−i3000000−333−300000000
χ442222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-122-1-1-1-1-1-1-1−2i2i2i−2i11-2-211111111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii0000000000i3−i3−i3i30000003−3−3300000000
χ452222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-211-1-11111-12i2i−2i−2i22-1-1-1-1-1-11111−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii200-2-1-12i−2i00000011−i−iii000000000000
χ462222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-211-1-11111-12i2i−2i−2i22-1-1-1-1-1-11111−i−i−i−iiiii2i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii-200211−2i2i000000-1-1ii−i−i000000000000
χ472222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-211-1-11111-1−2i−2i2i2i22-1-1-1-1-1-11111iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i200-2-1-1−2i2i00000011ii−i−i000000000000
χ482222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-211-1-11111-1−2i−2i2i2i22-1-1-1-1-1-11111iiii−i−i−i−i−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i-2002112i−2i000000-1-1−i−iii000000000000
χ492222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-2-1-11111-12i2i−2i−2i-1-122-1-1-1-111112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii02-2000002i−2i-1-111000000−i−iii00000000
χ502222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-2-1-11111-12i2i−2i−2i-1-122-1-1-1-111112i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii0-2200000−2i2i11-1-1000000ii−i−i00000000
χ512222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-2-1-11111-1−2i−2i2i2i-1-122-1-1-1-11111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i02-200000−2i2i-1-111000000ii−i−i00000000
χ522222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-2-1-11111-1−2i−2i2i2i-1-122-1-1-1-11111−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0-22000002i−2i11-1-1000000−i−iii00000000
χ532-2-2222-2-22-222-22-2-22-2-2222-2-222-2-222-22-2-2-222-2-2200002-22-222-2-222-2-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ542-2-2222-2-22-222-22-2-22-2-2222-2-222-2-222-22-2-2-222-2-2200002-22-222-2-222-2-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ552-2-2222-2-2-22222-2-2-22-2-2222-2-222-2-22-22-22-2-2-2-22220000-22-22-2-22222-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ562-2-2222-2-2-22222-2-2-22-2-2222-2-222-2-22-22-22-2-2-2-22220000-22-22-2-22222-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ572-2-22-2-2222-2222-2-2-22-2-22-2-222-2-22222-22-2-2-222-2-220000-22-22-2-222-2-2220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ582-2-22-2-2222-2222-2-2-22-2-22-2-222-2-22222-22-2-2-222-2-220000-22-22-2-222-2-222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ592-2-22-2-222-2222-22-2-22-2-22-2-222-2-2222-22-22-2-2-2-222200002-22-222-2-2-2-222000000000000000000000000000000000000000000000000000000002-2-220000
χ602-2-22-2-222-2222-22-2-22-2-22-2-222-2-2222-22-22-2-2-2-222200002-22-222-2-2-2-22200000000000000000000000000000000000000000000000000000000-222-20000
χ614444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-211111114444-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ624444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2-2-2111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6344444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-114-44-42222-1-1-1-11111-2-222-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ6444444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-11-44-442222-1-1-1-1111122-2-222-2-222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.