Finite Group Databasebeta

← Group #11790497

Character table — Group #11790497

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order1222223344446666661212121234444666666612121212121212121212121212121212121288882424242424242424661212121212121212121212121212888888242424242424242424242424448812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-111-11-1111-1-1-1-111-1-11i−ii−i11-1-11-1-111-1-1-1iiii−i−i−i−i11-1-1111-1-11111-1-1-1-11-1i−ii−i1-1iiii−i−i−i−i1-1ii−i−i11-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-1i−i1-1
χ1011-1-11-111-11-1111-1-1-1-111-1-11i−ii−i11-1-11-1-111-1-1-1iiii−i−i−i−i11-1-1111-1-11111-1-1-1-11-1i−ii−i1-1iiii−i−i−i−i1-1ii−i−i11-1-1iiii−i−i−i−i−ii-11−i−iii-1-111−ii-11
χ1111-1-11-111-11-1111-1-1-1-111-1-11i−ii−i11-1-11-1-111-1-1-1iiii−i−i−i−i11-1-11-1-111-1-1-1-111111-1i−ii−i1-1iiii−i−i−i−i-11−i−iii-1-111−i−i−i−iiiiii−i1-1ii−i−i11-1-1−ii-11
χ1211-1-11-111-11-1111-1-1-1-111-1-11i−ii−i11-1-11-1-111-1-1-1iiii−i−i−i−i11-1-11-1-111-1-1-1-111111-1i−ii−i1-1iiii−i−i−i−i-11−i−iii-1-111−i−i−i−iiiii−ii-11−i−iii-1-111i−i1-1
χ1311-1-11-111-11-1111-1-1-1-111-1-11−ii−ii11-1-11-1-111-1-1-1−i−i−i−iiiii11-1-1111-1-11111-1-1-1-11-1−ii−ii1-1−i−i−i−iiiii1-1−i−iii11-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111i−i-11
χ1411-1-11-111-11-1111-1-1-1-111-1-11−ii−ii11-1-11-1-111-1-1-1−i−i−i−iiiii11-1-1111-1-11111-1-1-1-11-1−ii−ii1-1−i−i−i−iiiii1-1−i−iii11-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-1−ii1-1
χ1511-1-11-111-11-1111-1-1-1-111-1-11−ii−ii11-1-11-1-111-1-1-1−i−i−i−iiiii11-1-11-1-111-1-1-1-111111-1−ii−ii1-1−i−i−i−iiiii-11ii−i−i-1-111iiii−i−i−i−ii−i-11ii−i−i-1-111−ii1-1
χ1611-1-11-111-11-1111-1-1-1-111-1-11−ii−ii11-1-11-1-111-1-1-1−i−i−i−iiiii11-1-11-1-111-1-1-1-111111-1−ii−ii1-1−i−i−i−iiiii-11ii−i−i-1-111iiii−i−i−i−i−ii1-1−i−iii11-1-1i−i-11
χ1722222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-200000000-2-2-2-2-2000000000000220000-2-200000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ1822222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-200000000-2-2-2-2-2000000000000220000-2-20000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222-122222-122-1-12222-122222-12-1-1-1-12-12-1-122222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-122222-122-1-12222-122222-12-1-1-1-12-12-1-122222222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ212222222-122222-122-1-12222-1-2-2-2-22-12-1-1-1-12-12-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1000000000000-1-11111-1-11111111100000000000000000022-2-2-1-1-1-111110000
χ222222222-122222-122-1-12222-1-2-2-2-22-12-1-1-1-12-12-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1000000000000-1-11111-1-111111111000000000000000000-2-2221111-1-1-1-10000
χ23222222-122222-12-1-122-1-1-1-1-12222-12-12-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ24222222-122222-12-1-122-1-1-1-1-12222-12-12-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-211111111-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ25222222-122222-12-1-122-1-1-1-1-1-2-2-2-2-12-12-1-1-1-12-12211111111-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-2-2-1-1-1-1111111110000000000000000
χ26222222-122222-12-1-122-1-1-1-1-1-2-2-2-2-12-12-1-1-1-12-12211111111-1-1-1-12-2-2-2-211111111-1-1-2-2-2-2-1-111111111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ27222222-12-2-2-2-2-12-1-1221111-10000-12-12-1-1-11-21-2-2−i3−i3i3i3−i3−i3i3i31111-2000033−3−333−3−3-1-1000011−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i3−33−3−i−iii−i−iii0000000000000000
χ28222222-12-2-2-2-2-12-1-1221111-10000-12-12-1-1-11-21-2-2−i3−i3i3i3−i3−i3i3i31111-20000−3−333−3−333-1-1000011−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i−33−33ii−i−iii−i−i0000000000000000
χ29222222-12-2-2-2-2-12-1-1221111-10000-12-12-1-1-11-21-2-2i3i3−i3−i3i3i3−i3−i31111-2000033−3−333−3−3-1-1000011i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i3−33−3ii−i−iii−i−i0000000000000000
χ30222222-12-2-2-2-2-12-1-1221111-10000-12-12-1-1-11-21-2-2i3i3−i3−i3i3i3−i3−i31111-20000−3−333−3−333-1-1000011i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i−33−33−i−iii−i−iii0000000000000000
χ312222-2-2222-2-22222222-2-2-2-2222-2-2-2-2-2-22222-222-22-22-22-22-2-2-2-2-22000000000000-2-222-2-2222-22-22-22-20000000000000000000000000000000000
χ322222-2-2222-2-22222222-2-2-2-22-2-222-2-2-2-22222-222-2-22-22-22-22-2-2-2-22000000000000-2-2-2-22222-22-22-22-220000000000000000000000000000000000
χ332222-2-222-222-2222222222220000-2-2-2-2222-22-2-22000000002222-2222222222222-2-20000-2-200000000-2-20000-2-2-2-2000000000000000000000000
χ342222-2-222-222-2222222222220000-2-2-2-2222-22-2-22000000002222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2000000002200002222000000000000000000000000
χ352222-2-22-12-2-222-122-1-1-2-2-2-2-122-2-2-21-21-1-1-1212-112-22-22-22-21111-100000000000011-1-111-1-1-11-11-11-110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ362222-2-22-12-2-222-122-1-1-2-2-2-2-122-2-2-21-21-1-1-1212-112-22-22-22-21111-100000000000011-1-111-1-1-11-11-11-110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ372222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-222-21-21-1-1-1212-11-22-22-22-221111-10000000000001111-1-1-1-11-11-11-11-10000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ382222-2-22-12-2-222-122-1-1-2-2-2-2-1-2-222-21-21-1-1-1212-11-22-22-22-221111-10000000000001111-1-1-1-11-11-11-11-10000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ392222-2-2-122-2-22-12-1-1221111-122-2-21-21-2-1-1-1-1-2-12-2-11-11-11-1111112000033−3−333−3−31122-2-2-1-1-11-11-11-11000000−33−333−33−33−33−30000000000000000
χ402222-2-2-122-2-22-12-1-1221111-122-2-21-21-2-1-1-1-1-2-12-2-11-11-11-11111120000−3−333−3−3331122-2-2-1-1-11-11-11-110000003−33−3−33−33−33−330000000000000000
χ412222-2-2-122-2-22-12-1-1221111-1-2-2221-21-2-1-1-1-1-2-12-21-11-11-11-111112000033−3−333−3−311-2-222-1-11-11-11-11-1000000−33−33−33−33−33−330000000000000000
χ422222-2-2-122-2-22-12-1-1221111-1-2-2221-21-2-1-1-1-1-2-12-21-11-11-11-1111120000−3−333−3−33311-2-222-1-11-11-11-11-10000003−33−33−33−33−33−30000000000000000
χ432222-2-2-12-222-2-12-1-122-1-1-1-1-100001-21-2-1-1-1121-22−i3i3i3−i3−i3i3i3−i3-1-1-1-1-22222-1-1-1-1-1-1-1-111000011−i3i3i3−i3−i3i3i3−i3-2-200001111−i3i3i3−i3−i3i3i3−i30000000000000000
χ442222-2-2-12-222-2-12-1-122-1-1-1-1-100001-21-2-1-1-1121-22−i3i3i3−i3−i3i3i3−i3-1-1-1-1-2-2-2-2-21111111111000011−i3i3i3−i3−i3i3i3−i3220000-1-1-1-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ452222-2-2-12-222-2-12-1-122-1-1-1-1-100001-21-2-1-1-1121-22i3−i3−i3i3i3−i3−i3i3-1-1-1-1-22222-1-1-1-1-1-1-1-111000011i3−i3−i3i3i3−i3−i3i3-2-200001111i3−i3−i3i3i3−i3−i3i30000000000000000
χ462222-2-2-12-222-2-12-1-122-1-1-1-1-100001-21-2-1-1-1121-22i3−i3−i3i3i3−i3−i3i3-1-1-1-1-2-2-2-2-21111111111000011i3−i3−i3i3i3−i3−i3i3220000-1-1-1-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ4722-2-22-2222-22-222-2-2-2-2-2-2222000022-2-22-2-2-2-222200000000-2-222-20000000000002-20000-2200000000002-2-22000022-2-2-2-2220000000000000000
χ4822-2-22-2222-22-222-2-2-2-2-2-2222000022-2-22-2-2-2-222200000000-2-222-20000000000002-20000-220000000000-222-20000-2-22222-2-20000000000000000
χ4922-2-22-22-1-22-222-1-2-21122-2-2-12i−2i2i−2i2-1-21-1112-1-2112i2i2i2i−2i−2i−2i−2i-1-111-1000000000000-11−ii−ii-11−i−i−i−iiiii0000000000000000002i−2i2-2−i−iii-1-1110000
χ5022-2-22-22-1-22-222-1-2-21122-2-2-12i−2i2i−2i2-1-21-1112-1-2112i2i2i2i−2i−2i−2i−2i-1-111-1000000000000-11−ii−ii-11−i−i−i−iiiii000000000000000000−2i2i-22ii−i−i11-1-10000
χ5122-2-22-22-1-22-222-1-2-21122-2-2-1−2i2i−2i2i2-1-21-1112-1-211−2i−2i−2i−2i2i2i2i2i-1-111-1000000000000-11i−ii−i-11iiii−i−i−i−i0000000000000000002i−2i-22−i−iii11-1-10000
χ5222-2-22-22-1-22-222-1-2-21122-2-2-1−2i2i−2i2i2-1-21-1112-1-211−2i−2i−2i−2i2i2i2i2i-1-111-1000000000000-11i−ii−i-11iiii−i−i−i−i000000000000000000−2i2i2-2ii−i−i-1-1110000
χ5322-2-22-2-122-22-2-1211-2-211-1-1-10000-121-2-1111-2-12233−3−3−3−33311-1-1-2000033−3−3−3−333-1100001-133−3−3−3−33300-222-23−3−3311-1-1-1-1110000000000000000
χ5422-2-22-2-122-22-2-1211-2-211-1-1-10000-121-2-1111-2-12233−3−3−3−33311-1-1-20000−3−33333−3−3-1100001-133−3−3−3−333002-2-22−333−3-1-11111-1-10000000000000000
χ5522-2-22-2-122-22-2-1211-2-211-1-1-10000-121-2-1111-2-122−3−33333−3−311-1-1-2000033−3−3−3−333-1100001-1−3−33333−3−3002-2-223−3−33-1-11111-1-10000000000000000
χ5622-2-22-2-122-22-2-1211-2-211-1-1-10000-121-2-1111-2-122−3−33333−3−311-1-1-20000−3−33333−3−3-1100001-1−3−33333−3−300-222-2−333−311-1-1-1-1110000000000000000
χ5722-2-22-2-12-22-22-1211-2-2-1-111-12i−2i2i−2i-121-2-111-121-2-2−i−i−i−iiiii-1-111222-2-2-1-1-1-11111-112i−2i2i−2i-11−i−i−i−iiiii2-22i2i−2i−2i-1-111−i−i−i−iiiii0000000000000000
χ5822-2-22-2-12-22-22-1211-2-2-1-111-12i−2i2i−2i-121-2-111-121-2-2−i−i−i−iiiii-1-1112-2-2221111-1-1-1-1-112i−2i2i−2i-11−i−i−i−iiiii-22−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000
χ5922-2-22-2-12-22-22-1211-2-2-1-111-1−2i2i−2i2i-121-2-111-121-2-2iiii−i−i−i−i-1-111222-2-2-1-1-1-11111-11−2i2i−2i2i-11iiii−i−i−i−i2-2−2i−2i2i2i-1-111iiii−i−i−i−i0000000000000000
χ6022-2-22-2-12-22-22-1211-2-2-1-111-1−2i2i−2i2i-121-2-111-121-2-2iiii−i−i−i−i-1-1112-2-2221111-1-1-1-1-11−2i2i−2i2i-11iiii−i−i−i−i-222i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000
χ6122-2-2-222222-2-222-2-2-2-222-2-220000-2-2222-2-2-2222-20000000022-2-2-222-2-22222-2-2-2-2-220000-2200000000-220000-2-222000000000000000000000000
χ6222-2-2-222222-2-222-2-2-2-222-2-220000-2-2222-2-2-2222-20000000022-2-2-2-2-222-2-2-2-22222-220000-22000000002-2000022-2-2000000000000000000000000
χ6322-2-2-2222-2-22222-2-2-2-2-2-22222i−2i−2i2i-2-2222-2-22-2-2-222i−2i2i−2i−2i2i−2i2i-2-2222000000000000-222i−2i−2i2i2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000
χ6422-2-2-2222-2-22222-2-2-2-2-2-2222−2i2i2i−2i-2-2222-2-22-2-2-22−2i2i−2i2i2i−2i2i−2i-2-2222000000000000-22−2i2i2i−2i2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
χ6522-2-2-222-1-2-2222-1-2-211-2-222-12i−2i−2i2i-212-1-11121-21-12i−2i2i−2i−2i2i−2i2i11-1-1-10000000000001-1−iii−i-11−ii−iii−ii−i00000000000000000000003−3−33−i3i3i3−i30000
χ6622-2-2-222-1-2-2222-1-2-211-2-222-12i−2i−2i2i-212-1-11121-21-12i−2i2i−2i−2i2i−2i2i11-1-1-10000000000001-1−iii−i-11−ii−iii−ii−i0000000000000000000000−333−3i3−i3−i3i30000
χ6722-2-2-222-1-2-2222-1-2-211-2-222-1−2i2i2i−2i-212-1-11121-21-1−2i2i−2i2i2i−2i2i−2i11-1-1-10000000000001-1i−i−ii-11i−ii−i−ii−ii00000000000000000000003−3−33i3−i3−i3i30000
χ6822-2-2-222-1-2-2222-1-2-211-2-222-1−2i2i2i−2i-212-1-11121-21-1−2i2i−2i2i2i−2i2i−2i11-1-1-10000000000001-1i−i−ii-11i−ii−i−ii−ii0000000000000000000000−333−3−i3i3i3−i30000
χ6922-2-2-22-1222-2-2-1211-2-2-1-111-100001-2-12-11112-12-23−3−33−333−3-1-111-222-2-2-1-1-1-111111-100001-13−3−33−333−3-22000011-1-13−3−33−333−30000000000000000
χ7022-2-2-22-1222-2-2-1211-2-2-1-111-100001-2-12-11112-12-23−3−33−333−3-1-111-2-2-2221111-1-1-1-11-100001-13−3−33−333−32-20000-1-111−333−33−3−330000000000000000
χ7122-2-2-22-1222-2-2-1211-2-2-1-111-100001-2-12-11112-12-2−333−33−3−33-1-111-222-2-2-1-1-1-111111-100001-1−333−33−3−33-22000011-1-1−333−33−3−330000000000000000
χ7222-2-2-22-1222-2-2-1211-2-2-1-111-100001-2-12-11112-12-2−333−33−3−33-1-111-2-2-2221111-1-1-1-11-100001-1−333−33−3−332-20000-1-1113−3−33−333−30000000000000000
χ7322-2-2-22-12-2-222-1211-2-211-1-1-12i−2i−2i2i1-2-12-111-1-21-22−ii−iii−ii−i11-1-12000033−3−3−3−3331-12i−2i−2i2i-11−ii−iii−ii−i000000−333−3i3−i3i3−i3−i3i3−i3i30000000000000000
χ7422-2-2-22-12-2-222-1211-2-211-1-1-12i−2i−2i2i1-2-12-111-1-21-22−ii−iii−ii−i11-1-120000−3−33333−3−31-12i−2i−2i2i-11−ii−iii−ii−i0000003−3−33−i3i3−i3i3i3−i3i3−i30000000000000000
χ7522-2-2-22-12-2-222-1211-2-211-1-1-1−2i2i2i−2i1-2-12-111-1-21-22i−ii−i−ii−ii11-1-12000033−3−3−3−3331-1−2i2i2i−2i-11i−ii−i−ii−ii000000−333−3−i3i3−i3i3i3−i3i3−i30000000000000000
χ7622-2-2-22-12-2-222-1211-2-211-1-1-1−2i2i2i−2i1-2-12-111-1-21-22i−ii−i−ii−ii11-1-120000−3−33333−3−31-1−2i2i2i−2i-11i−ii−i−ii−ii0000003−3−33i3−i3i3−i3−i3i3−i3i30000000000000000
χ774444444-2-4-4-4-44-244-2-2-4-4-4-4-200004-24-2-2-2-2-42-4220000000022222000000000000-2-2000022000000000000000000000000000000000000000000
χ78444444-2-24444-2-2-2-2-2-2-2-2-2-214444-2-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-2-21111-200000000000011-2-2-2-211111111110000000000000000000000000000000000
χ79444444-2-24444-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-2-2-2111-2-2-2-2-2222222221111-200000000000011222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ80444444-2-2-4-4-4-4-2-2-2-2-2-2222210000-2-2-2-211122222−2i3−2i32i32i3−2i3−2i32i32i3-1-1-1-12000000000000110000-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ81444444-2-2-4-4-4-4-2-2-2-2-2-2222210000-2-2-2-2111222222i32i3−2i3−2i32i32i3−2i3−2i3-1-1-1-12000000000000110000-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ824444-4-44-2-444-44-244-2-24444-20000-42-42-2-2-2-4-2-42-200000000-2-2-2-2200000000000022000022000000000000000000000000000000000000000000
χ834444-4-4-2-24-4-44-2-2-2-2-2-22222144-4-42222111-22-2-22-22-22-22-22-1-1-1-1-2000000000000-1-1-2-222111-11-11-11-10000000000000000000000000000000000
χ844444-4-4-2-24-4-44-2-2-2-2-2-222221-4-4442222111-22-2-222-22-22-22-2-1-1-1-1-2000000000000-1-122-2-211-11-11-11-110000000000000000000000000000000000
χ854444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-21000022221112-222-2−2i32i32i3−2i3−2i32i32i3−2i311112000000000000-1-10000-1-1i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ864444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-21000022221112-222-22i3−2i3−2i32i32i3−2i3−2i32i311112000000000000-1-10000-1-1−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ8744-4-44-44-24-44-44-2-4-422-4-444-200004-2-42-222-424-2-20000000022-2-22000000000000-2200002-2000000000000000000000000000000000000000000
χ8844-4-44-4-2-24-44-4-2-2222222-2-210000-2-2221-1-122-2-2-22323−23−23−23−232323-1-11120000000000001-10000-11−3−33333−3−30000000000000000000000000000000000
χ8944-4-44-4-2-24-44-4-2-2222222-2-210000-2-2221-1-122-2-2-2−23−2323232323−23−23-1-11120000000000001-10000-1133−3−3−3−3330000000000000000000000000000000000
χ9044-4-44-4-2-2-44-44-2-22222-2-22214i−4i4i−4i-2-2221-1-1-2-2222−2i−2i−2i−2i2i2i2i2i11-1-1-20000000000001-1−2i2i−2i2i1-1iiii−i−i−i−i0000000000000000000000000000000000
χ9144-4-44-4-2-2-44-44-2-22222-2-2221−4i4i−4i4i-2-2221-1-1-2-22222i2i2i2i−2i−2i−2i−2i11-1-1-20000000000001-12i−2i2i−2i1-1−i−i−i−iiiii0000000000000000000000000000000000
χ9244-4-4-444-244-4-44-2-4-42244-4-4-20000-424-2-222-4-24-2200000000-2-22220000000000002-200002-2000000000000000000000000000000000000000000
χ9344-4-4-44-2-244-4-4-2-22222-2-2221000022-2-21-1-12-2-2-2223−23−2323−232323−2311-1-12000000000000-110000-11−333−33−3−330000000000000000000000000000000000
χ9444-4-4-44-2-244-4-4-2-22222-2-2221000022-2-21-1-12-2-2-22−232323−2323−23−232311-1-12000000000000-110000-113−3−33−333−30000000000000000000000000000000000
χ9544-4-4-44-2-2-4-444-2-2222222-2-214i−4i−4i4i22-2-21-1-1-2222-2−2i2i−2i2i2i−2i2i−2i-1-111-2000000000000-11−2i2i2i−2i1-1i−ii−i−ii−ii0000000000000000000000000000000000
χ9644-4-4-44-2-2-4-444-2-2222222-2-21−4i4i4i−4i22-2-21-1-1-2222-22i−2i2i−2i−2i2i−2i2i-1-111-2000000000000-112i−2i−2i2i1-1−ii−iii−ii−i0000000000000000000000000000000000
χ974-44-400440000-4-44-44-40000400000000-44-400000000000000000022−2222−2222−2222−2222−2222−2200000000000000000000000000000000000000000000000000
χ984-44-400440000-4-44-44-40000400000000-44-4000000000000000000−2222−2222−2222−2222−2222−222200000000000000000000000000000000000000000000000000
χ994-44-400-2400002-4-224-423−2323−23-2000000002-22000000000000023−2323−23022−2222−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000000000000
χ1004-44-400-2400002-4-224-423−2323−23-2000000002-22000000000000023−2323−230−2222−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000000000000
χ1014-44-400-2400002-4-224-4−2323−2323-2000000002-220000000000000−2323−2323022−2222−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000000000000
χ1024-44-400-2400002-4-224-4−2323−2323-2000000002-220000000000000−2323−23230−2222−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000000000000
χ1034-4-4400440000-4-4-44-440000400000000-4-4400000000000000000022−22−222222−2222−22−2222−222200000000000000000000000000000000000000000000000000
χ1044-4-4400440000-4-4-44-440000400000000-4-44000000000000000000−222222−22−2222−222222−2222−2200000000000000000000000000000000000000000000000000
χ1054-4-4400-2400002-42-2-4423−23−2323-20000000022-2000000000000023−23−2323022−22−22222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000000000000
χ1064-4-4400-2400002-42-2-4423−23−2323-20000000022-2000000000000023−23−23230−222222−22−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000000000000
χ1074-4-4400-2400002-42-2-44−232323−23-20000000022-20000000000000−232323−23022−22−22222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000000000000
χ1084-4-4400-2400002-42-2-44−232323−23-20000000022-20000000000000−232323−230−222222−22−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000000000000
χ1098-88-8008-40000-848-8-440000-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-800-4-4000044-44-4443−4343−43200000000-22-20000000000000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-4000044-44-44−4343−4343200000000-22-2000000000000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88008-40000-84-884-40000-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-40000444-44-443−43−4343200000000-2-220000000000000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-40000444-44-4−434343−43200000000-2-22000000000000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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