Finite Group Databasebeta

← Group #11777683

Character table — Group #11777683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444444444444444446666666666668888888888888888121212121212121212121212121212121212121212121212121212121212242424242424363636367272
order1222444433444466666612121212121212123444466612121212121212121212121212121212121212128888242424242424242412121212121212121212121212121212888888888824242424242424242424242424242424242424248824242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−iii−i−i11-1-11-1
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1i−iii−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−ii−i−iii-1-111-11
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii−i−iiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−ii−iii−i−i-1-111-11
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1−ii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−i−iii11-1-11-1
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1-1-11111i−i−i−iiiii−i−iii−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii−i−iii11-1-1-11
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-11111-1-1-1-1-1-11111i−i−i−iii−i−iiiii−i−i−i−i−i−iiiii−i−i−i−iiiiii−iii−i−i-1-1111-1
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-11111-1-1-1-1-1-11111−iiii−i−iii−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−i−ii−i−iii-1-1111-1
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-11111-1-1-1-1-1-11111−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−iii−i−i11-1-1-11
χ172222222222-2-2-2-22222222222222220000222-2-2-2-2-2-2000000002222-2-22222222222220000-2-2-2-200000000-2-200000000-2-2-2-20000000000000000000000000000
χ182222222222-2-2-2-22222222222222220000222-2-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-200000000220000000022220000000000000000000000000000
χ19222222222-122222-122-1-122-1-122-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ20222222222-122222-122-1-122-1-122-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000011111111111100000000000000000000
χ21222222222-122222-122-1-122-1-122-1-1-1-2-2-2-2-1-1-122-1-1-1-111111111-1-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-2-20000-1-1-1-11111111100000000000000000000
χ22222222222-122222-122-1-122-1-122-1-1-1-2-2-2-2-1-1-122-1-1-1-111111111-1-1-1-122-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-2222200001111-1-1-1-1-1-1-1-100000000000000000000
χ23222222222-1-2-2-2-22-122-1-122-1-122-1-1-10000-1-1-1-2-21111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-22222-1-1-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-2000000001111−i3−i3i3i3−i3−i3i3i300000000000000000000
χ24222222222-1-2-2-2-22-122-1-122-1-122-1-1-10000-1-1-1-2-21111−i3−i3i3i3−i3−i3i3i3-1-1-1-1-2-2-2-2-2-21111111100001111−i3−i3i3i3−i3−i3i3i32200000000-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000
χ25222222222-1-2-2-2-22-122-1-122-1-122-1-1-10000-1-1-1-2-21111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-22222-1-1-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-2000000001111i3i3−i3−i3i3i3−i3−i300000000000000000000
χ26222222222-1-2-2-2-22-122-1-122-1-122-1-1-10000-1-1-1-2-21111i3i3−i3−i3i3i3−i3−i3-1-1-1-1-2-2-2-2-2-21111111100001111i3i3−i3−i3i3i3−i3−i32200000000-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2722222222-122222-12-1-122-1-122-1-122-12222-1-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002222000000000000-1-1-1-1-1-1-1-122-1-1-1-1000000
χ2822222222-122222-12-1-122-1-122-1-122-12222-1-1-1-1-1222222222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000011111111-2-21111000000
χ2922222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111-1-1-1-1111111110000002222000000000000-1-1-1-1-1-1-1-1-2-21111000000
χ3022222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111-1-1-1-111111111000000-2-2-2-20000000000001111111122-1-1-1-1000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-220000222-2-2-2-22200000000-2-2-2-2222i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000-2-22200000000−2i2i00000000−2i−2i2i2i0000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-220000222-2-2-2-22200000000-2-2-2-222−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000-2-222000000002i−2i000000002i2i−2i−2i0000000000000000000000000000
χ332222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-10000-1-1-1-2-211-1-1−i3−i3i3i3i3i3−i3−i31111222i2i−2i−2i−i−i−i−iiiii000011-1-1−i3−i3i3i3i3i3−i3−i3−2i2i00000000ii−i−i33−3−3−3−33300000000000000000000
χ342222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-10000-1-1-1-2-211-1-1−i3−i3i3i3i3i3−i3−i3111122−2i−2i2i2iiiii−i−i−i−i000011-1-1−i3−i3i3i3i3i3−i3−i32i−2i00000000−i−iii−3−33333−3−300000000000000000000
χ352222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-10000-1-1-1-2-211-1-1i3i3−i3−i3−i3−i3i3i31111222i2i−2i−2i−i−i−i−iiiii000011-1-1i3i3−i3−i3−i3−i3i3i3−2i2i00000000ii−i−i−3−33333−3−300000000000000000000
χ362222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-10000-1-1-1-2-211-1-1i3i3−i3−i3−i3−i3i3i3111122−2i−2i2i2iiiii−i−i−i−i000011-1-1i3i3−i3−i3−i3−i3i3i32i−2i00000000−i−iii33−3−3−3−33300000000000000000000
χ372222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-122-2-2-1-1-122-1-111-1-1-1-111111111-2-22i2i−2i−2i−i−i−i−iiiii22-2-2-1-111-1-1-1-111112i−2i2i2i−2i−2i0000−i−iii−i−i−i−iiiii00000000000000000000
χ382222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-122-2-2-1-1-122-1-111-1-1-1-111111111-2-2−2i−2i2i2iiiii−i−i−i−i22-2-2-1-111-1-1-1-11111−2i2i−2i−2i2i2i0000ii−i−iiiii−i−i−i−i00000000000000000000
χ392222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-1-2-222-1-1-122-1-1111111-1-1-1-11111-2-22i2i−2i−2i−i−i−i−iiiii-2-222-1-1111111-1-1-1-12i−2i−2i−2i2i2i0000−i−iiiiiii−i−i−i−i00000000000000000000
χ402222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-1-2-222-1-1-122-1-1111111-1-1-1-11111-2-2−2i−2i2i2iiiii−i−i−i−i-2-222-1-1111111-1-1-1-1−2i2i2i2i−2i−2i0000ii−i−i−i−i−i−iiiii00000000000000000000
χ412222-2-2-2-2-12-2-222-12-1-12211-2-211-2-2-122-2-2-1-1-1-1-122-2-22222-2-2-2-2111111000000000000-1-111-1-111-1-1-1-111110000002i2i−2i−2i000000000000−i−i−i−iiiii2i−2i−i−iii000000
χ422222-2-2-2-2-12-2-222-12-1-12211-2-211-2-2-122-2-2-1-1-1-1-122-2-22222-2-2-2-2111111000000000000-1-111-1-111-1-1-1-11111000000−2i−2i2i2i000000000000iiii−i−i−i−i−2i2iii−i−i000000
χ432222-2-2-2-2-12-2-222-12-1-12211-2-211-2-2-1-2-222-1-1-1-1-122-2-2-2-2-2-2222211111100000000000011-1-1-1-1111111-1-1-1-10000002i2i−2i−2i000000000000−i−i−i−iiiii−2i2iii−i−i000000
χ442222-2-2-2-2-12-2-222-12-1-12211-2-211-2-2-1-2-222-1-1-1-1-122-2-2-2-2-2-2222211111100000000000011-1-1-1-1111111-1-1-1-1000000−2i−2i2i2i000000000000iiii−i−i−i−i2i−2i−i−iii000000
χ452-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000000000000000001+i−1−i1−i−1+i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000002−2−i2i200
χ462-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000−1−i1+i−1+i1−i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000−22i2−i200
χ472-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000000000000000001+i−1−i1−i−1+i0000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000−22i2−i200
χ482-22-22i2i−2i−2i220000-2-22-22-22i−2i2i−2i2i−2i2i−2i20000-22-2000000000000002i2i−2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000−1−i1+i−1+i1−i000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000002−2−i2i200
χ492-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000000000000000001−i−1+i1+i−1−i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000002−2i2−i200
χ502-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000−2i−2i2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000−1+i1−i−1−i1+i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000−22−i2i200
χ512-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000000000000000001−i−1+i1+i−1−i0000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000−22−i2i200
χ522-22-2−2i−2i2i2i220000-2-22-22-2−2i2i−2i2i−2i2i−2i2i20000-22-200000000000000−2i−2i2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000−1+i1−i−1−i1+i000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000002−2i2−i200
χ532-2-222i−2i2i−2i222i−2i2-2-2-2-22-222i−2i−2i2i−2i2i2i−2i20000-2-222-22-22i−2i000000002i−2i2i−2i2i−2i00000000000000002-22i−2i00000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000000000000000
χ542-2-222i−2i2i−2i222i−2i2-2-2-2-22-222i−2i−2i2i−2i2i2i−2i20000-2-222-22-22i−2i000000002i−2i2i−2i2i−2i00000000000000002-22i−2i0000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000
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χ1154-4-444i−4i4i−4i-2-24i−4i4-4222-22-2−2i2i2i−2i2i−2i−2i2i10000-1-11-22-22−2i2i−232323−232i3−2i3−2i32i3i−ii−i−2i2i00000000000000001-1i−i3−3−33−i3i3i3−i3000000000000000000000000000000000000000000
χ1164-4-444i−4i4i−4i-2-2−4i4i-44222-22-2−2i2i2i−2i2i−2i−2i2i14i−4i4-4-1-112-22-22i−2i−2i2i−2i2i-22-22i−ii−i2i−2i000000000000−2i2i-22-11−iii−ii−i1-11-1000000000000000000000000000000000000000000
χ1174-4-444i−4i4i−4i-2-2−4i4i-44222-22-2−2i2i2i−2i2i−2i−2i2i1−4i4i-44-1-112-22-22i−2i2i−2i2i−2i2-22-2i−ii−i2i−2i0000000000002i−2i2-2-11−ii−ii−ii-11-11000000000000000000000000000000000000000000
χ1184-4-44−4i4i−4i4i-24−4i4i4-42-42-2-442i−2i4i−4i−2i2i−4i4i-2000022-2-224-4−4i4i000000002i−2i2i−2i2i−2i0000000000000000-222i−2i00000000000000000000000000000000000000000000000000
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χ1204-4-44−4i4i−4i4i-2-24i−4i-44222-22-22i−2i−2i2i−2i2i2i−2i1−4i4i4-4-1-112-22-2−2i2i2i−2i2i−2i-22-22−ii−ii−2i2i0000000000002i−2i-22-11i−i−ii−ii1-11-1000000000000000000000000000000000000000000
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χ1224-4-44−4i4i−4i4i-2-2−4i4i4-4222-22-22i−2i−2i2i−2i2i2i−2i10000-1-11-22-222i−2i−232323−23−2i32i32i3−2i3−ii−ii2i−2i00000000000000001-1−ii3−3−33i3−i3−i3i3000000000000000000000000000000000000000000
χ12388-8-88-8-88-4-40000-4-44444-4-44444-4-4200002-2-2000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-888-8-4-40000-4-4444444-4-4-4-444200002-2-200000000000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88i8i−8i−8i-4-4000044-44-44−4i4i−4i4i−4i4i−4i4i20000-22-2000000000000002i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8−8i−8i8i8i-4-4000044-44-444i−4i4i−4i4i−4i4i−4i20000-22-200000000000000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.