Finite Group Databasebeta

← Group #11777582

Character table — Group #11777582

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222444433444466666612121212121212123666121212121212121212121212888888121212122424242424242424242424242424242488888888882424242424242424242424242424242444121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111ii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−iii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-11-111-1-1ii−i−i11-1-1ii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111ii−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−i−i−iii-1-111ii−i−iii−i−i-1-1-1-111111-111-1-1−i−iii-1-111−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111ii−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−iii−i−i-1-111ii−i−iii−i−i-1-1-1-11111-11-1-111ii−i−i11-1-1−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111ii−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−i−i−iii11-1-1ii−i−iii−i−i1111-1-1-1-1-11-1-111−i−iii-1-111ii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111−i−iiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−iiii−i−i11-1-1−i−iii−i−iii1111-1-1-1-1-11-1-111ii−i−i-1-111−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111−i−iiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−i−iii-1-111−i−iii−i−iii-1-1-1-11111-11-1-111−i−iii11-1-1ii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−iiii−i−i-1-111−i−iii−i−iii-1-1-1-111111-111-1-1ii−i−i-1-111ii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111−i−iii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−i−iii11-1-1−i−iii−i−iii1111-1-1-1-11-111-1-1−i−iii11-1-1−i−iii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2222200-2-2-2-20000000000000000-2-200000000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-200-2-2-2-2000000000000000022000000002222-2-2-2-200000000000000000000000000
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1222222-2-2-1-1-1-11111-2-2-2-2111111112200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-11111-2-2-2-211111111-2-200000000111111110000000022-1-1-1-1000000000000
χ23222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-22222001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3-2-2000000001111-1-1-1-10000000000−i3i3−i3i3000000000000
χ24222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-22222001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3-2-2000000001111-1-1-1-10000000000i3−i3i3−i3000000000000
χ25222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-111110000000000i3−i3i3−i3000000000000
χ26222222222-1-2-2-2-2222-1-1-122-1-1-1-122-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-111110000000000−i3i3−i3i3000000000000
χ2722222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ2822222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ2922222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-2111111111111002222-2-2-2-20000000011111111000000-1-1-1-100000000
χ3022222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-1-1-1-1-2-2-2-211111111111100-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000111100000000
χ312222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-22i2i−2i−2i00-2-2220000000000000000−2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ322222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2−2i−2i2i2i00-2-22200000000000000002i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ332222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111111222i2i−2i−2i2i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii2i−2i00000000−i−iii−i−iii000000002-2-1-111000000000000
χ342222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111111222i2i−2i−2i−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i2i−2i00000000−i−iii−i−iii00000000-2211-1-1000000000000
χ352222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111111122−2i−2i2i2i2i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−2i2i00000000ii−i−iii−i−i00000000-2211-1-1000000000000
χ362222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111111122−2i−2i2i2i−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i2i00000000ii−i−iii−i−i000000002-2-1-111000000000000
χ372222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-22i2i−2i−2i0011-1-13−3−33000033−3−3−3−333−2i2i00000000ii−i−i−i−iii0000000000−i3i3i3−i3000000000000
χ382222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-22i2i−2i−2i0011-1-1−333−30000−3−33333−3−3−2i2i00000000ii−i−i−i−iii0000000000i3−i3−i3i3000000000000
χ392222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-2−2i−2i2i2i0011-1-13−3−33000033−3−3−3−3332i−2i00000000−i−iiiii−i−i0000000000i3−i3−i3i3000000000000
χ402222-2-2-2-22-1-2-222222-1-1-1-2-21111-2-2-1-1-1-12211-1-11111-2-2−2i−2i2i2i0011-1-1−333−30000−3−33333−3−32i−2i00000000−i−iiiii−i−i0000000000−i3i3i3−i3000000000000
χ412222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-100002i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii002i2i−2i−2i22-2-200000000-1-1-1-11111000000−i−iii00000000
χ422222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-100002i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii00−2i−2i2i2i-2-222000000001111-1-1-1-1000000ii−i−i00000000
χ432222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-10000−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i002i2i−2i−2i-2-222000000001111-1-1-1-1000000−i−iii00000000
χ442222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-11122-2-21111-1-10000−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i00−2i−2i2i2i22-2-200000000-1-1-1-11111000000ii−i−i00000000
χ4522-2-22i−2i2i−2i2200002-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000002−2−i2i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322−2−2−i2−i2i2i2000000000000001+i−1−i1−i−1+i
χ4622-2-22i−2i2i−2i2200002-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000−22i2−i200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2−222i2i2−i2−i200000000000000−1−i1+i−1+i1−i
χ4722-2-22i−2i2i−2i2200002-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000002−2−i2i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322−2−2−i2−i2i2i200000000000000−1−i1+i−1+i1−i
χ4822-2-22i−2i2i−2i2200002-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000−22i2−i20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2−222i2i2−i2−i2000000000000001+i−1−i1−i−1+i
χ4922-2-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000002−2i2−i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322−2−2i2i2−i2−i2000000000000001−i−1+i1+i−1−i
χ5022-2-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000−22−i2i20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2−222−i2−i2i2i200000000000000−1+i1−i−1−i1+i
χ5122-2-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000002−2i2−i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322−2−2i2i2−i2−i200000000000000−1+i1−i−1−i1+i
χ5222-2-2−2i2i−2i2i2200002-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000−22−i2i200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2−222−i2−i2i2i2000000000000001−i−1+i1+i−1−i
χ532-22-22i−2i−2i2i222-22i−2i-22-2-2-222i−2i2i−2i−2i2i−2i2i2-22-22i−2i2-22i−2i2i−2i−2i2i2-20000002-22i−2i00000000000000000000000000000000000000000000000000002-22i−2i0000
χ542-22-22i−2i−2i2i222-22i−2i-22-2-2-222i−2i2i−2i−2i2i−2i2i2-22-22i−2i2-22i−2i2i−2i−2i2i2-20000002-22i−2i0000000000000000000000000000000000000000000000000000-22−2i2i0000
χ552-22-22i−2i−2i2i22-22−2i2i-22-2-2-222i−2i2i−2i−2i2i−2i2i2-22-2−2i2i-22−2i2i2i−2i−2i2i-22000000-22−2i2i000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000
χ562-22-22i−2i−2i2i22-22−2i2i-22-2-2-222i−2i2i−2i−2i2i−2i2i2-22-2−2i2i-22−2i2i2i−2i−2i2i-22000000-22−2i2i0000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000
χ572-22-22i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i−2i2ii−i-11-11i−i-22−2i2i−iii−i1-10000001-1i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−i3i3−i3i33−33−3000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ582-22-22i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i−2i2ii−i-11-11i−i-22−2i2i−iii−i1-10000001-1i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000i3−i3i3−i3−33−33000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ592-22-22i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i−2i2ii−i-11-11i−i-22−2i2i−iii−i1-10000001-1i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000i3−i3i3−i3−33−33000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ602-22-22i−2i−2i2i-12-22−2i2i1-11-2-22−ii2i−2i−2i2ii−i-11-11i−i-22−2i2i−iii−i1-10000001-1i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−i3i3−i3i33−33−3000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ612-22-2−2i2i2i−2i222-2−2i2i-22-2-2-22−2i2i−2i2i2i−2i2i−2i2-22-2−2i2i2-2−2i2i−2i2i2i−2i2-20000002-2−2i2i00000000000000000000000000000000000000000000000000002-2−2i2i0000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.