Finite Group Databasebeta

← Group #11774656

Character table — Group #11774656

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212122234466666661212121212121212121212121212121244441212121212121212666666121212121212121212122444446688881212121212121212121224242424242424248824242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ61111111111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-111ii−i−i-1-11111-1-1-1-1iiii−i−i−i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-111−i−iii-1-11111-1-1-1-1−i−i−i−iiiii−ii−i−iii−i−iii−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-1-111-1-1ii−i−i11-1-1-1-11111iiii−i−i−i−ii−iii−i−i−i−iii−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-11-1-111-1-1−i−iii11-1-1-1-11111−i−i−i−iiiii−ii−i−iiiii−i−ii−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-11111ii−i−i-1-1-1-1-1-11111iiii−i−i−i−i−ii−i−iiiii−i−i−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-11111−i−iii-1-1-1-1-1-11111−i−i−i−iiiiii−iii−i−i−i−iiii−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1111-1-1-1-1ii−i−i111111-1-1-1-1iiii−i−i−i−i−ii−i−iii−i−iiii−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1111-1-1-1-1−i−iii111111-1-1-1-1−i−i−i−iiiiii−iii−i−iii−i−i−ii
χ172222222222-2-2-2-222222222222222002000000222-2-20000-2-2-2-22222-2-222222222222200000000-2-2-2-20000-2-20000-2-20000-2-20000000000000000000000000000
χ182222222222-2-2-2-222222222222222002000000222-2-20000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-20000220000220000220000000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-1-10000-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-12222222-1-1-122-1-1-1-12222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-21111111122-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2110000111111111100000000000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-2-2-1-2-21111-1-1-1221111-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-2-21111-2-2-1-1-1-1111122-2-2-2-2-1-10000-1-11111111100000000000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-2-2-1-2-21111-1-1-1221111-1-1-1-1-1-1-1-122-2-2-2-211111111-2-21111-2-2-1-1-1-11111-2-2222211000011-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100−i3−i3i3i3-1-1-1-2-2−i3−i3i3i31111-1-1-1-1-2-22222-1-1-1-1-1-1-1-100−i3−i3i3i3001111−i3−i3i3i3-2-2000011000011−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100−i3−i3i3i3-1-1-1-2-2−i3−i3i3i31111-1-1-1-1-2-2-2-2-2-21111111100−i3−i3i3i3001111−i3−i3i3i3220000-1-10000-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100i3i3−i3−i3-1-1-1-2-2i3i3−i3−i31111-1-1-1-1-2-22222-1-1-1-1-1-1-1-100i3i3−i3−i3001111i3i3−i3−i3-2-2000011000011i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-12200-100i3i3−i3−i3-1-1-1-2-2i3i3−i3−i31111-1-1-1-1-2-2-2-2-2-21111111100i3i3−i3−i3001111i3i3−i3−i3220000-1-10000-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-1-1-1222-1-12222-1-122-1222222-1-1-1-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-1-1-1222-1-12222-1-122-1222222-1-1-1-1-122222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000011111111-2-21111000000
χ2922222222-122222-1-1-1222-1-12222-1-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-100000000000011111111-1-1-1-111110000000022220000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-1-1-1222-1-12222-1-1-2-2-1-2-2-2-2-2-2-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-100000000000011111111-1-1-1-1111100000000-2-2-2-200000000001111111122-1-1-1-1000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2002000000222-2-20000-2-222-2-2-2-22222-2-22222-2-2-2-200000000-2-2220000-220000-2-20000220000000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2002000000222-2-20000-2-222-2-2-2-222-2-222-2-2-2-2222200000000-2-22200002-20000220000-2-20000000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-222-1-2-2-1-1-1-1-1-1-1221111-1-1111111-2-222-2-2-1-1-1-1111122-1-1-1-1-2-2-1-11111112-222-2-2-1-1000011-1-1-1-1111100000000000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-222-1-2-2-1-1-1-1-1-1-1221111-1-1111111-2-2-2-2221111-1-1-1-122-1-1-1-1-2-2-1-1111111-22-2-222110000-1-11111-1-1-1-100000000000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-2-2-1221111-1-1-122-1-1-1-1-1-1111111-2-222-2-2-1-1-1-11111-2-2111122-1-111-1-1-1-12-2-2-222-1-10000111111-1-1-1-100000000000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-2-2-1221111-1-1-122-1-1-1-1-1-1111111-2-2-2-2221111-1-1-1-1-2-2111122-1-111-1-1-1-1-2222-2-2110000-1-1-1-1-1-1111100000000000000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100−i3−i3i3i3-1-1-1-2-2i3i3−i3−i311-1-111112222-2-2-1-1-1-1111100−i3−i3i3i30011-1-1i3i3−i3−i3-220000110000-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100−i3−i3i3i3-1-1-1-2-2i3i3−i3−i311-1-1111122-2-2221111-1-1-1-100−i3−i3i3i30011-1-1i3i3−i3−i32-20000-1-1000011i3i3−i3−i3−i3−i3i3i300000000000000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100i3i3−i3−i3-1-1-1-2-2−i3−i3i3i311-1-111112222-2-2-1-1-1-1111100i3i3−i3−i30011-1-1−i3−i3i3i3-220000110000-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-200-100i3i3−i3−i3-1-1-1-2-2−i3−i3i3i311-1-1111122-2-2221111-1-1-1-100i3i3−i3−i30011-1-1−i3−i3i3i32-20000-1-1000011−i3−i3i3i3i3i3−i3−i300000000000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-21122-1-2-22222-1-1-1-1-1-2-2-2-222-2-2111111000000000000-1-1-1-1-1-111-1-1111111000000002i2i−2i−2i0000000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-21122-1-2-22222-1-1-1-1-1-2-2-2-222-2-2111111000000000000-1-1-1-1-1-111-1-111111100000000−2i−2i2i2i0000000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-2-2-122-2-2-2-2-1-1-1-1-1222222-2-2111111000000000000111111-1-1-1-111-1-1-1-1000000002i2i−2i−2i0000000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-2-2-122-2-2-2-2-1-1-1-1-1222222-2-2111111000000000000111111-1-1-1-111-1-1-1-100000000−2i−2i2i2i0000000000iiii−i−i−i−i2i−2i−i−iii000000
χ452-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i0020000002-2-200000000002i2i−2i−2i002i−2i2-22i2i−2i−2i22-2-20000000000000000000000001+i−1−i1−i−1+i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000001−i−1+i1+i−1−i00
χ462-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i0020000002-2-200000000002i2i−2i−2i002i−2i2-22i2i−2i−2i22-2-2000000000000000000000000−1−i1+i−1+i1−i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−1+i1−i−1−i1+i00
χ472-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i0020000002-2-200000000002i2i−2i−2i00−2i2i-22−2i−2i2i2i-2-2220000000000000000000000001+i−1−i1−i−1+i00000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−1+i1−i−1−i1+i00
χ482-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i0020000002-2-200000000002i2i−2i−2i00−2i2i-22−2i−2i2i2i-2-222000000000000000000000000−1−i1+i−1+i1−i0000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000001−i−1+i1+i−1−i00
χ492-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i0020000002-2-20000000000−2i−2i2i2i002i−2i-222i2i−2i−2i-2-2220000000000000000000000001−i−1+i1+i−1−i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−1−i1+i−1+i1−i00
χ502-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i0020000002-2-20000000000−2i−2i2i2i002i−2i-222i2i−2i−2i-2-222000000000000000000000000−1+i1−i−1−i1+i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000001+i−1−i1−i−1+i00
χ512-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i0020000002-2-20000000000−2i−2i2i2i00−2i2i2-2−2i−2i2i2i22-2-20000000000000000000000001−i−1+i1+i−1−i00000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000001+i−1−i1−i−1+i00
χ522-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i0020000002-2-20000000000−2i−2i2i2i00−2i2i2-2−2i−2i2i2i22-2-2000000000000000000000000−1+i1−i−1−i1+i0000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−1−i1+i−1+i1−i00
χ532-2-222i−2i−2i2i222-22i−2i-22-2-2-222i−2i2i−2i2i−2i−2i2i002000000-22-22-200002-22i−2i2i−2i2i−2i2i−2i000000000000000000002-22i−2i0000002-22i−2i000000002-22-22i−2i2i−2i00000000000000000000
χ542-2-222i−2i−2i2i222-22i−2i-22-2-2-222i−2i2i−2i2i−2i−2i2i002000000-22-22-200002-22i−2i2i−2i2i−2i2i−2i000000000000000000002-22i−2i000000-22−2i2i00000000-22-22−2i2i−2i2i00000000000000000000
χ552-2-222i−2i−2i2i22-22−2i2i-22-2-2-222i−2i2i−2i2i−2i−2i2i2-222i−2i2-22-2-22-2-222i−2i2i−2i-22−2i2i2i−2i2i−2i−2i2i0000000000002-22-22-22i−2i-22−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ562-2-222i−2i−2i2i22-22−2i2i-22-2-2-222i−2i2i−2i2i−2i−2i2i-222−2i2i-22-22-22-2-22−2i2i−2i2i-22−2i2i2i−2i2i−2i−2i2i000000000000-22-22-22−2i2i-22−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ572-2-222i−2i−2i2i2-12-22i−2i-22-211-12i−2i−ii−ii−2i2i00-100−i3i3i3−i31-112-23−3−33-11−ii−ii−ii2i−2i0000−i3i3−i3i33−33−300−i3i3i3−i300-11−ii3−3−33002-22i−2i−i3i300003−3-11-11−ii−ii00000000000000000000
χ582-2-222i−2i−2i2i2-12-22i−2i-22-211-12i−2i−ii−ii−2i2i00-100−i3i3i3−i31-112-23−3−33-11−ii−ii−ii2i−2i0000i3−i3i3−i3−33−3300−i3i3i3−i300-11−ii3−3−3300-22−2i2ii3−i30000−331-11-1i−ii−i00000000000000000000
χ592-2-222i−2i−2i2i2-12-22i−2i-22-211-12i−2i−ii−ii−2i2i00-100i3−i3−i3i31-112-2−333−3-11−ii−ii−ii2i−2i0000−i3i3−i3i33−33−300i3−i3−i3i300-11−ii−333−300-22−2i2i−i3i300003−31-11-1i−ii−i00000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.