Finite Group Databasebeta

← Group #11774470

Character table — Group #11774470

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122244443344446666661212121212121212366612121212121212121212121222442466666666121212121212121212121212446688888888121212121212242424242424242444121212122424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111111111-1-1-1-111-1-1-1-1-1-11-111ii−i−iii−i−i-1-111-1-1iiii−i−i−i−i1-111-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-111111111-1-1-1-111-1-1-1-1-1-11-111−i−iii−i−iii-1-111-1-1−i−i−i−iiiii1-111-1-1−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1111111-1-111111-111ii−i−i−i−iii-1-111-1-1−i−i−i−iiiii-11-1-111ii−i−iii−i−i−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1111111-1-111111-111−i−iiiii−i−i-1-111-1-1iiii−i−i−i−i-11-1-111−i−iii−i−iiiii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-11-1-1ii−i−iii−i−i11-1-111iiii−i−i−i−i-11-1-111ii−i−i−i−iii−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-111-1-1-1-1-1-1-11-1-1−i−iii−i−iii11-1-111−i−i−i−iiiii-11-1-111−i−iiiii−i−iii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-11-1-1ii−i−i−i−iii11-1-111−i−i−i−iiiii1-111-1-1ii−i−i−i−iiiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1111111-1-11111-11-1-1−i−iiiii−i−i11-1-111iiii−i−i−i−i1-111-1-1−i−iiiii−i−i−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200000000000000-2-2-2-20000-2-2220000000022-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200000000000000-2-2-2-2000022-2-200000000-2-2222200000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-100000000-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-2-2-2-2111111-2-211-1-1-1-1111122-1-100000000-1-1-1-1-1-100000000-2-21111000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2110000000011111100000000-2-21111000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2111111-2-211-1-1-1-11111-2-211000000001111110000000022-1-1-1-1000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-222220000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i3-2-2-1-100000000-1-111110000000000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-222220000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i3-2-2-1-100000000-1-111110000000000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20000−i3i3−i3−i3i3i300−i3i31111−i3−i3i3i322110000000011-1-1-1-10000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-20000i3−i3i3i3−i3−i300i3−i31111i3i3−i3−i322110000000011-1-1-1-10000000000−i3i3−i3i3000000000000
χ2722222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022222222000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-200000011111111000000111100000000
χ2922222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-1111100002222-2-2-2-200000011111111000000-1-1-1-100000000
χ3022222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-211-2-2111111-2-2-1-1-1-111110000-2-2-2-22222000000-1-1-1-1-1-1-1-1000000111100000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22222-2-200000000000000-2-2220000-222200000000-2-2-2-22200000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222-2-22200000000000000-2-22200002-2-2-2000000002222-2-200000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122-1-1111111-2-222-2-22-222-1-1-1-1-1-1-2-211-1-11111112-2-1-10000000011-1-111000000002-2-1-111000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122-1-1111111-2-222-2-2-22-2-211111122-1-1-1-111-1-1-1-12-2-1-10000000011-1-11100000000-2211-1-1000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122-1-1111111-2-2-2-2222-222-1-1-1-1-1-1-2-211-1-1111111-221100000000-1-111-1-100000000-2211-1-1000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-122-1-1111111-2-2-2-222-22-2-211111122-1-1-1-111-1-1-1-1-221100000000-1-111-1-1000000002-2-1-111000000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211-1-111112222-2-20000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i3-22-1-1000000001111-1-10000000000−i3i3i3−i3000000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211-1-111112222-2-20000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i3-22-1-1000000001111-1-10000000000i3−i3−i3i3000000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211-1-1111122-2-2220000−i3i3−i3−i3i3i300i3−i311-1-1i3i3−i3−i32-21100000000-1-1-1-1110000000000i3−i3−i3i3000000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-1-2-211-1-1111122-2-2220000i3−i3i3i3−i3−i300−i3i311-1-1−i3−i3i3i32-21100000000-1-1-1-1110000000000−i3i3i3−i3000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-122-2-211111100002-2-1-122-1-1-1-111-2-2-1-111111100002i2i−2i−2i2i2i−2i−2i000000−i−i−i−iiiii000000−i−iii00000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-122-2-211111100002-2-1-122-1-1-1-111-2-2-1-11111110000−2i−2i2i2i−2i−2i2i2i000000iiii−i−i−i−i000000ii−i−i00000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-122-2-21111110000-2211-2-21111-1-122-1-111-1-1-1-100002i2i−2i−2i−2i−2i2i2i000000iiii−i−i−i−i000000−i−iii00000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-1-1-122-2-21111110000-2211-2-21111-1-122-1-111-1-1-1-10000−2i−2i2i2i2i2i−2i−2i000000−i−i−i−iiiii000000ii−i−i00000000
χ452-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i22-2-20000002i2i−2i−2i002-22i−2i0000000000000000000000002-200001+i−1−i1−i−1+i2i−2i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000001+i−1−i1−i−1+i
χ462-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i22-2-20000002i2i−2i−2i002-22i−2i0000000000000000000000002-20000−1−i1+i−1+i1−i2i−2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000−1−i1+i−1+i1−i
χ472-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i22-2-20000002i2i−2i−2i00-22−2i2i000000000000000000000000-2200001+i−1−i1−i−1+i−2i2i00001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000−1−i1+i−1+i1−i
χ482-22-22i−2i2i−2i2200002-2-2-22-22i−2i2i2i−2i−2i2i−2i22-2-20000002i2i−2i−2i00-22−2i2i000000000000000000000000-220000−1−i1+i−1+i1−i−2i2i0000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000001+i−1−i1−i−1+i
χ492-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i22-2-2000000−2i−2i2i2i002-2−2i2i0000000000000000000000002-200001−i−1+i1+i−1−i−2i2i00001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000001−i−1+i1+i−1−i
χ502-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i22-2-2000000−2i−2i2i2i002-2−2i2i0000000000000000000000002-20000−1+i1−i−1−i1+i−2i2i0000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000−1+i1−i−1−i1+i
χ512-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i22-2-2000000−2i−2i2i2i00-222i−2i000000000000000000000000-2200001−i−1+i1+i−1−i2i−2i00001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000−1+i1−i−1−i1+i
χ522-22-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i−2i2i2i−2i2i22-2-2000000−2i−2i2i2i00-222i−2i000000000000000000000000-220000−1+i1−i−1−i1+i2i−2i0000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000001−i−1+i1+i−1−i
χ532-2-222i−2i−2i2i222-22i−2i-22-2-2-222i−2i2i−2i2i−2i−2i2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i0000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ542-2-222i−2i−2i2i222-22i−2i-22-2-2-222i−2i2i−2i2i−2i−2i2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000002-22i−2i00000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ552-2-222i−2i−2i2i22-22−2i2i-22-2-2-222i−2i2i−2i2i−2i−2i2i2-22-2-22-22−2i2i2i−2i2i−2i−2i2i000000000000000000-22−2i2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ562-2-222i−2i−2i2i22-22−2i2i-22-2-2-222i−2i2i−2i2i−2i−2i2i2-22-2-22-22−2i2i2i−2i2i−2i−2i2i000000000000000000-22−2i2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ572-2-222i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i2i−2ii−i-11-111-1-22−2i2i−ii−iii−i000000−i3i300−i3i3−i3i33−3001-1i−i3−33−30000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ582-2-222i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i2i−2ii−i-11-111-1-22−2i2i−ii−iii−i000000−i3i300−i3i3−i3i33−3001-1i−i3−33−300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ592-2-222i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i2i−2ii−i-11-111-1-22−2i2i−ii−iii−i000000i3−i300i3−i3i3−i3−33001-1i−i−33−330000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ602-2-222i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i2i−2ii−i-11-111-1-22−2i2i−ii−iii−i000000i3−i300i3−i3i3−i3−33001-1i−i−33−3300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ612-2-22−2i2i2i−2i222-2−2i2i-22-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-2−2i2i00000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ622-2-22−2i2i2i−2i222-2−2i2i-22-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000002-2−2i2i0000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ632-2-22−2i2i2i−2i22-222i−2i-22-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-2-22-222i−2i−2i2i−2i2i2i−2i000000000000000000-222i−2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000
χ642-2-22−2i2i2i−2i22-222i−2i-22-2-2-22−2i2i−2i2i−2i2i2i−2i2-22-2-22-222i−2i−2i2i−2i2i2i−2i000000000000000000-222i−2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.