Finite Group Databasebeta

← Group #10691465

Character table — Group #10691465

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12224444223444444666121212121212121212121212444444444466121212121212121212121212121212121212121212128888888824242424242424242424242424242424224444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1ii−i−i1-1i−i
χ101111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−i−iii-11−ii
χ111111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-11-1ii−i−i-11−ii
χ121111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1ii−i−iii−i−i-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11-11−i−iii1-1i−i
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−i−iii1-1−ii
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-11ii−i−i-11i−i
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-11-1−i−iii-11i−i
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-11-1−i−iii−i−iii-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11-11ii−i−i1-1−ii
χ172222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ192222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ202222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ212222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ232222222222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−3000000000000
χ242222222222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−333000000000000
χ252222222222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ262222222222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ2722222222-2-22-2-22222222222222222222-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-2-2200000000
χ2822222222-2-22-2-22222222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-222-200000000
χ2922222222-2-22-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000000000000000000000000000002i−2i2i−2i0000
χ3022222222-2-22-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-2222200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ312222-2-2-2-2222-2-222-2-2222-2-2-2-22222-2-2-2-2-220000000022-2-2-2-222000000000000000000000000000000000000000022-2-200000000
χ322222-2-2-2-2222-2-222-2-2222-2-2-2-22222-2-2-2-2-220000000022-2-2-2-2220000000000000000000000000000000000000000-2-22200000000
χ332222-2-2-2-2222-2-2-2-222222-2-2-2-2-2-2-2-222222-20000000022-2-222-2-2000000000000000000000000000000000000000000002-2-220000
χ342222-2-2-2-2222-2-2-2-222222-2-2-2-2-2-2-2-222222-20000000022-2-222-2-200000000000000000000000000000000000000000000-222-20000
χ352222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-22222-222i2i−2i−2i−2i−2i2i2i-2-222-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ362222-2-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-22222-22−2i−2i2i2i2i2i−2i−2i-2-222-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ372222-2-2-2-2-2-2-12222-2-2-1-1-11111-1-1-1-111112-22i2i−2i−2i2i2i−2i−2i11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000
χ382222-2-2-2-2-2-2-12222-2-2-1-1-11111-1-1-1-111112-22i2i−2i−2i2i2i−2i−2i11-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000
χ392222-2-2-2-2-2-2-12222-2-2-1-1-11111-1-1-1-111112-2−2i−2i2i2i−2i−2i2i2i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000
χ402222-2-2-2-2-2-2-12222-2-2-1-1-11111-1-1-1-111112-2−2i−2i2i2i−2i−2i2i2i11-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000
χ412222-2-2-2-2-2-2-122-2-222-1-1-111111111-1-1-1-1-222i2i−2i−2i−2i−2i2i2i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i3000000000000
χ422222-2-2-2-2-2-2-122-2-222-1-1-111111111-1-1-1-1-222i2i−2i−2i−2i−2i2i2i11-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i3000000000000
χ432222-2-2-2-2-2-2-122-2-222-1-1-111111111-1-1-1-1-22−2i−2i2i2i2i2i−2i−2i11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii0000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i3000000000000
χ442222-2-2-2-2-2-2-122-2-222-1-1-111111111-1-1-1-1-22−2i−2i2i2i2i2i−2i−2i11-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii00000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i3000000000000
χ4522-2-222-2-2-2222-200002-2-222-2-2000000000000002-22-22-22-20000000022-2-2000022-2-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4622-2-222-2-2-2222-200002-2-222-2-2000000000000002-22-22-22-20000000022-2-2000022-2-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4722-2-222-2-2-2222-200002-2-222-2-200000000000000-22-222-22-200000000-2-2220000-2-222−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4822-2-222-2-2-2222-200002-2-222-2-200000000000000-22-222-22-200000000-2-2220000-2-222i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4922-2-222-2-2-22-12-20000-111-1-11133−3−333−3−30000002-22-2-11-113−33−333−3−3-1-11133−3−3-1-111−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5022-2-222-2-2-22-12-20000-111-1-11133−3−333−3−30000002-22-2-11-113−33−333−3−3-1-11133−3−3-1-111i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5122-2-222-2-2-22-12-20000-111-1-11133−3−333−3−3000000-22-22-11-113−33−3−3−33311-1-1−3−33311-1-1−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ5222-2-222-2-2-22-12-20000-111-1-11133−3−333−3−3000000-22-22-11-113−33−3−3−33311-1-1−3−33311-1-1i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ5322-2-222-2-2-22-12-20000-111-1-111−3−333−3−3330000002-22-2-11-11−33−33−3−333-1-111−3−333-1-111−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5422-2-222-2-2-22-12-20000-111-1-111−3−333−3−3330000002-22-2-11-11−33−33−3−333-1-111−3−333-1-111i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ5522-2-222-2-2-22-12-20000-111-1-111−3−333−3−333000000-22-22-11-11−33−3333−3−311-1-133−3−311-1-1−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ5622-2-222-2-2-22-12-20000-111-1-111−3−333−3−333000000-22-22-11-11−33−3333−3−311-1-133−3−311-1-1i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ5722-2-2-2-2222-222-200002-2-2-2-222000000000000002i−2i−2i2i-222-2000000002i2i−2i−2i0000−2i−2i2i2i−i2i2i2−i22−2−22−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000000000
χ5822-2-2-2-2222-222-200002-2-2-2-222000000000000002i−2i−2i2i-222-2000000002i2i−2i−2i0000−2i−2i2i2ii2−i2−i2i2−222−2i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000000000
χ5922-2-2-2-2222-222-200002-2-2-2-22200000000000000−2i2i2i−2i-222-200000000−2i−2i2i2i00002i2i−2i−2i−i2i2i2−i2−222−2−i2i2−i2i2i2−i2i2−i2−22−222−22−2000000000000
χ6022-2-2-2-2222-222-200002-2-2-2-22200000000000000−2i2i2i−2i-222-200000000−2i−2i2i2i00002i2i−2i−2ii2−i2−i2i22−2−22i2−i2i2−i2−i2i2−i2i22−22−2−22−22000000000000
χ6122-2-2-2-2222-2-12-20000-11111-1-133−3−3−3−3330000002i−2i−2i2i1-1-113−3−33i3i3−i3−i3−i−iii−i3−i3i3i3ii−i−i−i2i2i2−i22−2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ6222-2-2-2-2222-2-12-20000-11111-1-133−3−3−3−3330000002i−2i−2i2i1-1-113−3−33i3i3−i3−i3−i−iii−i3−i3i3i3ii−i−ii2−i2−i2i2−222−2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ6322-2-2-2-2222-2-12-20000-11111-1-133−3−3−3−333000000−2i2i2i−2i1-1-113−3−33−i3−i3i3i3ii−i−ii3i3−i3−i3−i−iii−i2i2i2−i2−222−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ6422-2-2-2-2222-2-12-20000-11111-1-133−3−3−3−333000000−2i2i2i−2i1-1-113−3−33−i3−i3i3i3ii−i−ii3i3−i3−i3−i−iiii2−i2−i2i22−2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ6522-2-2-2-2222-2-12-20000-11111-1-1−3−33333−3−30000002i−2i−2i2i1-1-11−333−3−i3−i3i3i3−i−iiii3i3−i3−i3ii−i−i−i2i2i2−i22−2−22ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ6622-2-2-2-2222-2-12-20000-11111-1-1−3−33333−3−30000002i−2i−2i2i1-1-11−333−3−i3−i3i3i3−i−iiii3i3−i3−i3ii−i−ii2−i2−i2i2−222−2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ6722-2-2-2-2222-2-12-20000-11111-1-1−3−33333−3−3000000−2i2i2i−2i1-1-11−333−3i3i3−i3−i3ii−i−i−i3−i3i3i3−i−iii−i2i2i2−i2−222−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ6822-2-2-2-2222-2-12-20000-11111-1-1−3−33333−3−3000000−2i2i2i−2i1-1-11−333−3i3i3−i3−i3ii−i−i−i3−i3i3i3−i−iiii2−i2−i2i22−2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ6944444444-4-4-2-4-44444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400000000222222220000000000000000000000000000000000000000000000000000
χ7044444444-4-4-2-4-4-4-4-4-4-2-2-2-2-2-2-22222222244000000002222-2-2-2-20000000000000000000000000000000000000000000000000000
χ714444-4-4-4-444-2-4-444-4-4-2-2-22222-2-2-2-22222-4400000000-2-22222-2-20000000000000000000000000000000000000000000000000000
χ724444-4-4-4-444-2-4-4-4-444-2-2-222222222-2-2-2-24-400000000-2-222-2-2220000000000000000000000000000000000000000000000000000
χ7344-4-444-4-44-44-4400004-4-444-4-4000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ7444-4-444-4-44-4-2-440000-222-2-2222323−23−232323−23−2300000000002-22-2−2323−23230000000000000000000000000000000000000000000000000000
χ7544-4-444-4-44-4-2-440000-222-2-222−23−232323−23−23232300000000002-22-223−2323−230000000000000000000000000000000000000000000000000000
χ7644-4-4-4-444-444-4400004-4-4-4-4440000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ7744-4-4-4-444-44-2-440000-22222-2-22323−23−23−23−2323230000000000-222-2−232323−230000000000000000000000000000000000000000000000000000
χ7844-4-4-4-444-44-2-440000-22222-2-2−23−2323232323−23−230000000000-222-223−23−23230000000000000000000000000000000000000000000000000000
χ794-44-44i−4i4i−4i004000000-44-44i−4i4i−4i00000000002+2i−2−2i2−2i−2+2i0000000000002+2i−2−2i2+2i−2−2i00002−2i−2+2i2−2i−2+2i0000000000000000000000000000000000000000
χ804-44-44i−4i4i−4i004000000-44-44i−4i4i−4i0000000000−2−2i2+2i−2+2i2−2i000000000000−2−2i2+2i−2−2i2+2i0000−2+2i2−2i−2+2i2−2i0000000000000000000000000000000000000000
χ814-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i23−2323−23−2i32i3−2i32i3002+2i−2−2i2−2i−2+2i000000000000−1−i1+i−1−i1+i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−1+i1−i−1+i1−i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000000000000000000000000000000000000
χ824-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i23−2323−23−2i32i3−2i32i300−2−2i2+2i−2+2i2−2i0000000000001+i−1−i1+i−1−iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ221−i−1+i1−i−1+iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000000000000000000000000000000000000
χ834-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i−2323−23232i3−2i32i3−2i3002+2i−2−2i2−2i−2+2i000000000000−1−i1+i−1−i1+iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−1+i1−i−1+i1−iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000000000000000000000000000000000000
χ844-44-44i−4i4i−4i00-20000002-22−2i2i−2i2i−2323−23232i3−2i32i3−2i300−2−2i2+2i−2+2i2−2i0000000000001+i−1−i1+i−1−i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ221−i−1+i1−i−1+i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000000000000000000000000000000000000
χ854-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i00000000002−2i−2+2i2+2i−2−2i0000000000002−2i−2+2i2−2i−2+2i00002+2i−2−2i2+2i−2−2i0000000000000000000000000000000000000000
χ864-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i0000000000−2+2i2−2i−2−2i2+2i000000000000−2+2i2−2i−2+2i2−2i0000−2−2i2+2i−2−2i2+2i0000000000000000000000000000000000000000
χ874-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i23−2323−232i3−2i32i3−2i3002−2i−2+2i2+2i−2−2i000000000000−1+i1−i−1+i1−iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−1−i1+i−1−i1+iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000000000000000000000000000000000000
χ884-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i23−2323−232i3−2i32i3−2i300−2+2i2−2i−2−2i2+2i0000000000001−i−1+i1−i−1+i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ221+i−1−i1+i−1−i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000000000000000000000000000000000000
χ894-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i−2323−2323−2i32i3−2i32i3002−2i−2+2i2+2i−2−2i000000000000−1+i1−i−1+i1−i−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−1−i1+i−1−i1+i−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000000000000000000000000000000000000
χ904-44-4−4i4i−4i4i00-20000002-222i−2i2i−2i−2323−2323−2i32i3−2i32i300−2+2i2−2i−2−2i2+2i0000000000001−i−1+i1−i−1+iζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ221+i−1−i1+i−1−iζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000000000000000000000000000000000000
χ914-4-444i−4i−4i4i004004-44i−4i-4-444i−4i−4i4i4-4-44−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-444i−4i−4i4i00400-44−4i4i-4-444i−4i−4i4i-444-44i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444i−4i−4i4i00-2004-44i−4i22-2−2i2i2i−2i-222-22i−2i−2i2i000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000000000000000000000000000000000000
χ944-4-444i−4i−4i4i00-2004-44i−4i22-2−2i2i2i−2i-222-22i−2i−2i2i000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000000000000000000000000000000000000
χ954-4-444i−4i−4i4i00-200-44−4i4i22-2−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000000000000000000000000000000000000
χ964-4-444i−4i−4i4i00-200-44−4i4i22-2−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000000000000000000000000000000000000
χ974-4-44−4i4i4i−4i004004-4−4i4i-4-44−4i4i4i−4i4-4-444i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44−4i4i4i−4i00400-444i−4i-4-44−4i4i4i−4i-444-4−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44−4i4i4i−4i00-2004-4−4i4i22-22i−2i−2i2i-222-2−2i2i2i−2i000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000000000000000000000000000000000000
χ1004-4-44−4i4i4i−4i00-2004-4−4i4i22-22i−2i−2i2i-222-2−2i2i2i−2i000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i00-200-444i−4i22-22i−2i−2i2i2-2-222i−2i−2i2i000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i00-200-444i−4i22-22i−2i−2i2i2-2-222i−2i−2i2i000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000000000000000000000000000000000000

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