Finite Group Databasebeta

← Group #11777904

Character table — Group #11777904

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order12224444334444666666121212121212121236661212121212121212121212128812121212242424242424242424242424242424248888888824242424242424242424242424242424244466121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i1-11-111-1-111-1-111-1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii-11-11-1-111-1-11111-1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i-11-11-1-111-1-11111-1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii1-11-111-1-111-1-111-1-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-200-2-2-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-200-2-2-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000000000
χ19222222222-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-1-2-2-2-211111111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-122222-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-1-2-2-2-2111111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ23222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-20011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i322-2-20000-1-1-1-11111000000000000−i3i3−i3i30000000000
χ24222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-20011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-2-22200001111-1-1-1-1000000000000i3−i3i3−i30000000000
χ25222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-20011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i322-2-20000-1-1-1-11111000000000000i3−i3i3−i30000000000
χ26222222222-1-2-2-2-22-1-122-12222-1-1-1-1-1-1-1-11111-2-2-1-1-1-1-2-20011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-2-22200001111-1-1-1-1000000000000−i3i3−i3i30000000000
χ2722222222-122222-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2822222222-122222-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2922222222-122222-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ3022222222-122222-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22200-2-22200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22200-2-2220000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ332222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-21111220011-1-100003−3−3333−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−i000000000000−i3i3i3−i30000000000
χ342222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-21111220011-1-100003−3−3333−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii000000000000i3−i3−i3i30000000000
χ352222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-21111220011-1-10000−333−3−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i000000000000i3−i3−i3i30000000000
χ362222-2-2-2-22-122-2-22-1-122-1-2-2-2-21111-1-1-1-111-1-1-2-21111220011-1-10000−333−3−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iii000000000000−i3i3i3−i30000000000
χ372222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-1-1-111221111-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii2i−2i2i−2i0000−i−iii−i−iii000000002-200-1-1110000000000
χ382222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-1-1-111221111-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii−2i2i−2i2i0000ii−i−iii−i−i00000000-220011-1-10000000000
χ392222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-1-1-111221111-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i2i−2i2i−2i0000−i−iii−i−iii00000000-220011-1-10000000000
χ402222-2-2-2-22-1-2-2222-1-122-1-2-2-2-21111-1-1-1-1-1-111221111-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i2i−2i2i0000ii−i−iii−i−i000000002-200-1-1110000000000
χ412222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-122-2-2-1-11111112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii002-20000-1-111000000
χ422222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-122-2-2-1-11111112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i00-22000011-1-1000000
χ432222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-122-2-2-1-1111111−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii00-22000011-1-1000000
χ442222-2-2-2-2-12-2-222-122-1-121111-2-2-2-2-1-1-1-122-2-2-1-1111111−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i002-20000-1-111000000
χ4522-2-22i−2i2i−2i222i−2i2-2-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22i−2i2-22i−2i2i−2i2i−2i002-22i−2i00000000000000000000000000000000000000000000000000002i−2i2-200
χ4622-2-22i−2i2i−2i222i−2i2-2-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22i−2i2-22i−2i2i−2i2i−2i002-22i−2i0000000000000000000000000000000000000000000000000000−2i2i-2200
χ4722-2-22i−2i2i−2i22−2i2i-22-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22−2i2i-222i−2i2i−2i−2i2i00-22−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000
χ4822-2-22i−2i2i−2i22−2i2i-22-22-22-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22−2i2i-222i−2i2i−2i−2i2i00-22−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000
χ4922-2-22i−2i2i−2i-12−2i2i-2212-2-11-2−ii−ii2i−2i2i−2i-1-111-22−2i2i1-1−ii−iii−i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000003−3−i3i3000000
χ5022-2-22i−2i2i−2i-12−2i2i-2212-2-11-2−ii−ii2i−2i2i−2i-1-111-22−2i2i1-1−ii−iii−i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000−33i3−i3000000
χ5122-2-22i−2i2i−2i-12−2i2i-2212-2-11-2−ii−ii2i−2i2i−2i-1-111-22−2i2i1-1−ii−iii−i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000−33i3−i3000000
χ5222-2-22i−2i2i−2i-12−2i2i-2212-2-11-2−ii−ii2i−2i2i−2i-1-111-22−2i2i1-1−ii−iii−i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000003−3−i3i3000000
χ5322-2-2−2i2i−2i2i222i−2i-22-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-222i−2i-22−2i2i−2i2i2i−2i00-222i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000
χ5422-2-2−2i2i−2i2i222i−2i-22-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-222i−2i-22−2i2i−2i2i2i−2i00-222i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000
χ5522-2-2−2i2i−2i2i22−2i2i2-2-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-2−2i2i2-2−2i2i−2i2i−2i2i002-2−2i2i00000000000000000000000000000000000000000000000000002i−2i-2200
χ5622-2-2−2i2i−2i2i22−2i2i2-2-22-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-2−2i2i2-2−2i2i−2i2i−2i2i002-2−2i2i0000000000000000000000000000000000000000000000000000−2i2i2-200
χ5722-2-2−2i2i−2i2i-122i−2i-2212-2-11-2i−ii−i−2i2i−2i2i-1-111-222i−2i1-1i−ii−i−ii001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000003−3i3−i3000000
χ5822-2-2−2i2i−2i2i-122i−2i-2212-2-11-2i−ii−i−2i2i−2i2i-1-111-222i−2i1-1i−ii−i−ii001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000−33−i3i3000000
χ5922-2-2−2i2i−2i2i-122i−2i-2212-2-11-2i−ii−i−2i2i−2i2i-1-111-222i−2i1-1i−ii−i−ii001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000−33−i3i3000000
χ6022-2-2−2i2i−2i2i-122i−2i-2212-2-11-2i−ii−i−2i2i−2i2i-1-111-222i−2i1-1i−ii−i−ii001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000003−3i3−i3000000
χ6144444444-24-4-4-4-4-244-2-24-2-2-2-24444-2-2-2-2-4-4-4-422-2-2-2-2220022220000000000000000000000000000000000000000000000000000000000
χ6244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.