Finite Group Databasebeta

← Group #13167020

Character table — Group #13167020

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11222224444444444444466666666666688888991212121212121212121212121818181818363672721081081122222444444444444446666666666668888899121212121212121212121212181818181836367272108108
order123461212333366661212121212128888242424242424242436121212222424242424242424242424244661212226644226461212666666661212121212128888242424242424242466121212222424242424242424242424244661212226644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111
χ5111-11-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-1111-11-1i−i111-11-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-1111-11-1i−i
χ6111-11-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-111-11-11−ii111-11-1-111111111-1-1-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1-1-1-1iiiiii−i−i−i−i−i−i1-1-111-11-11−ii
χ7111-11-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-1111-11-1−ii111-11-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-1111-11-1−ii
χ8111-11-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-111-11-11i−i111-11-1-111111111-1-1-1-1-1-1−i−iii−i−i−i−iiiii11-1-1-1-1-1−i−i−i−i−i−iiiiiii1-1-111-11-11i−i
χ922222222222222222222200000000000022222-2-2000000000000-2-2-2-2-200000022222222222222222222200000000000022222-2-2000000000000-2-2-2-2-2000000
χ10222-22-2-222222222-2-2-2-2-2-200000000000022-2-2-222000000000000-222-2-2000000222-22-2-222222222-2-2-2-2-2-200000000000022-2-2-222000000000000-222-2-2000000
χ1122-12-1-1-12-1-122-1-1222-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-1-12-1-1-2-200−i3−i3i3i300−i3−i3i3i3-2111100000022-12-1-1-12-1-122-1-1222-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-1-12-1-1-2-200−i3−i3i3i300−i3−i3i3i3-21111000000
χ1222-12-1-1-12-1-122-1-1222-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-1-12-1-1-2-200i3i3−i3−i300i3i3−i3−i3-2111100000022-12-1-1-12-1-122-1-1222-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-1-12-1-1-2-200i3i3−i3−i300i3i3−i3−i3-21111000000
χ1322-12-1-1-12-1-122-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-12-1-1-1-100000022-12-1-1-12-1-122-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-12-1-1-1-1000000
χ1422-12-1-1-12-1-122-1-1222-1-1-1-1-2-2-2-211111111-1-12-1-122-2-21111-2-211112-1-1-1-100000022-12-1-1-12-1-122-1-1222-1-1-1-1-2-2-2-211111111-1-12-1-122-2-21111-2-211112-1-1-1-1000000
χ1522-1-2-1112-1-122-1-12-2-21111000033−3−3−3−333-1-1-211220033−3−300−3−333-2-1-11100000022-1-2-1112-1-122-1-12-2-21111000033−3−3−3−333-1-1-211220033−3−300−3−333-2-1-111000000
χ1622-1-2-1112-1-122-1-12-2-211110000−3−33333−3−3-1-1-2112200−3−3330033−3−3-2-1-11100000022-1-2-1112-1-122-1-12-2-211110000−3−33333−3−3-1-1-2112200−3−3330033−3−3-2-1-111000000
χ1722-1-2-1112-1-122-1-12-2-211112i2i−2i−2i−i−i−i−iiiii-1-1-211-2-22i2i−i−i−i−i−2i−2iiiii211-1-100000022-1-2-1112-1-122-1-12-2-211112i2i−2i−2i−i−i−i−iiiii-1-1-211-2-22i2i−i−i−i−i−2i−2iiiii211-1-1000000
χ1822-1-2-1112-1-122-1-12-2-21111−2i−2i2i2iiiii−i−i−i−i-1-1-211-2-2−2i−2iiiii2i2i−i−i−i−i211-1-100000022-1-2-1112-1-122-1-12-2-21111−2i−2i2i2iiiii−i−i−i−i-1-1-211-2-2−2i−2iiiii2i2i−i−i−i−i211-1-1000000
χ192-220-2002222-2-2-2-20000002−22−22−22−22−22−22-2000-222−22−22−22−22−22−202-2000000002-220-2002222-2-2-2-20000002−22−22−22−22−22−22-2000-222−22−22−22−22−22−202-200000000
χ202-220-2002222-2-2-2-2000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-20002-2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20-22000000002-220-2002222-2-2-2-2000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-20002-2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i20-2200000000
χ212-220-2002222-2-2-2-2000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i22-20002-2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20-22000000002-220-2002222-2-2-2-2000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i22-20002-2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i20-2200000000
χ222-220-2002222-2-2-2-2000000−22−22−22−22−22−222-2000-22−22−22−22−22−22−2202-2000000002-220-2002222-2-2-2-2000000−22−22−22−22−22−222-2000-22−22−22−22−22−22−2202-200000000
χ232-2-1013−32-1-12-211-20033−3−32−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-1103−3-222−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70-113−30000002-2-1013−32-1-12-211-20033−3−32−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-1103−3-222−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70-113−3000000
χ242-2-1013−32-1-12-211-20033−3−3−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-1103−32-2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−330000002-2-1013−32-1-12-211-20033−3−3−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-1103−32-2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−33000000
χ252-2-1013−32-1-12-211-20033−3−3i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-1103−32-2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1−330000002-2-1013−32-1-12-211-20033−3−3i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-1103−32-2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1−33000000
χ262-2-1013−32-1-12-211-20033−3−3−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-1103−3-22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70-113−30000002-2-1013−32-1-12-211-20033−3−3−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-1103−3-22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70-113−3000000
χ272-2-101−332-1-12-211-200−3−3332−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-110−33-222−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230-11−330000002-2-101−332-1-12-211-200−3−3332−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-110−33-222−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230-11−33000000
χ282-2-101−332-1-12-211-200−3−333−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-110−332-2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-13−30000002-2-101−332-1-12-211-200−3−333−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-110−332-2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-13−3000000
χ292-2-101−332-1-12-211-200−3−333i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-110−332-2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-13−30000002-2-101−332-1-12-211-200−3−333i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-110−332-2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-13−3000000
χ302-2-101−332-1-12-211-200−3−333−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-110−33-22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230-11−330000002-2-101−332-1-12-211-200−3−333−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-110−33-22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230-11−33000000
χ314444444111-2111-2111111222222222222-2-2-2-2-200-1-1-1-1-1-1-1-1-1-1-1-1000000000004444444111-2111-2111111222222222222-2-2-2-2-200-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ324444444111-2111-2111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200111111111111000000000004444444111-2111-2111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20011111111111100000000000
χ334444444-2-2-21-2-2-21-2-2-2-2-2-200000000000011111000000000000000000022-1-1004444444-2-2-21-2-2-21-2-2-2-2-2-200000000000011111000000000000000000022-1-100
χ344444444-2-2-21-2-2-21-2-2-2-2-2-2000000000000111110000000000000000000-2-211004444444-2-2-21-2-2-21-2-2-2-2-2-2000000000000111110000000000000000000-2-21100
χ35444-44-4-4111-2111-2-1-1-1-1-1-12i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-222200−i−i−i−i−i−iiiiiii00000000000444-44-4-4111-2111-2-1-1-1-1-1-12i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-222200−i−i−i−i−i−iiiiiii00000000000
χ36444-44-4-4111-2111-2-1-1-1-1-1-1−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222200iiiiii−i−i−i−i−i−i00000000000444-44-4-4111-2111-2-1-1-1-1-1-1−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222200iiiiii−i−i−i−i−i−i00000000000
χ37444-44-4-4-2-2-21-2-2-2122222200000000000011-1-1-100000000000000000002-2-1100444-44-4-4-2-2-21-2-2-2122222200000000000011-1-1-100000000000000000002-2-1100
χ38444-44-4-4-2-2-21-2-2-2122222200000000000011-1-1-10000000000000000000-221-100444-44-4-4-2-2-21-2-2-2122222200000000000011-1-1-10000000000000000000-221-100
χ3944-24-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i322222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i311-21100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000044-24-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i322222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i311-21100-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3200000000000
χ4044-24-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i311-2110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000044-24-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i311-2110011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3200000000000
χ4144-24-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i311-21100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000044-24-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i322222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i311-21100-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3200000000000
χ4244-24-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i311-2110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000044-24-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i311-2110011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3200000000000
χ4344-2-4-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i322i2i−2i−2i2ζ222ζ222ζ142ζ14−2ζ22−2ζ22−2ζ14−2ζ14112-1-100−i−i−ζ22−ζ22−ζ14−ζ14iiζ22ζ22ζ14ζ140000000000044-2-4-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i322i2i−2i−2i2ζ222ζ222ζ142ζ14−2ζ22−2ζ22−2ζ14−2ζ14112-1-100−i−i−ζ22−ζ22−ζ14−ζ14iiζ22ζ22ζ14ζ1400000000000
χ4444-2-4-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i32−2i−2i2i2i−2ζ22−2ζ22−2ζ14−2ζ142ζ222ζ222ζ142ζ14112-1-100iiζ22ζ22ζ14ζ14−i−i−ζ22−ζ22−ζ14−ζ140000000000044-2-4-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i32−2i−2i2i2i−2ζ22−2ζ22−2ζ14−2ζ142ζ222ζ222ζ142ζ14112-1-100iiζ22ζ22ζ14ζ14−i−i−ζ22−ζ22−ζ14−ζ1400000000000
χ4544-2-4-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i322i2i−2i−2i2ζ142ζ142ζ222ζ22−2ζ14−2ζ14−2ζ22−2ζ22112-1-100−i−i−ζ14−ζ14−ζ22−ζ22iiζ14ζ14ζ22ζ220000000000044-2-4-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i322i2i−2i−2i2ζ142ζ142ζ222ζ22−2ζ14−2ζ14−2ζ22−2ζ22112-1-100−i−i−ζ14−ζ14−ζ22−ζ22iiζ14ζ14ζ22ζ2200000000000
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χ1174-4-20223−231−1+3i32−1−3i32-2-11−3i321+3i322−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ222ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ71-10−3300−ζ5−ζ13ζ5+ζ13ζ5−ζ5ζ13−ζ13ζ7+ζ23−ζ7−ζ23−ζ23ζ23−ζ7ζ700000000000-4420-2−2323-11−3i321+3i3221−1+3i32−1−3i32-23i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ7-1103−300ζ5+ζ13−ζ5−ζ13−ζ5ζ5−ζ13ζ13−ζ7−ζ23ζ7+ζ23ζ23−ζ23ζ7−ζ700000000000
χ1184-4-202−23231−1−3i32−1+3i32-2-11+3i321−3i322−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ231-103−300ζ5+ζ13−ζ5−ζ13−ζ13ζ13−ζ5ζ5−ζ7−ζ23ζ7+ζ23ζ7−ζ7ζ23−ζ2300000000000-4420-223−23-11+3i321−3i3221−1−3i32−1+3i32-23i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ222ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ23-110−3300−ζ5−ζ13ζ5+ζ13ζ13−ζ13ζ5−ζ5ζ7+ζ23−ζ7−ζ23−ζ7ζ7−ζ23ζ2300000000000
χ1194-4-202−23231−1−3i32−1+3i32-2-11+3i321−3i322−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ222ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ231-103−300−ζ5−ζ13ζ5+ζ13ζ13−ζ13ζ5−ζ5ζ7+ζ23−ζ7−ζ23−ζ7ζ7−ζ23ζ2300000000000-4420-223−23-11+3i321−3i3221−1−3i32−1+3i32-23i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ23-110−3300ζ5+ζ13−ζ5−ζ13−ζ13ζ13−ζ5ζ5−ζ7−ζ23ζ7+ζ23ζ7−ζ7ζ23−ζ2300000000000
χ1204-4-202−23231−1+3i32−1−3i32-2-11−3i321+3i3223i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ131-103−300−ζ7−ζ23ζ7+ζ23ζ23−ζ23ζ7−ζ7ζ5+ζ13−ζ5−ζ13−ζ5ζ5−ζ13ζ1300000000000-4420-223−23-11−3i321+3i3221−1+3i32−1−3i32-2−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ13-110−3300ζ7+ζ23−ζ7−ζ23−ζ23ζ23−ζ7ζ7−ζ5−ζ13ζ5+ζ13ζ5−ζ5ζ13−ζ1300000000000
χ1214-4-202−23231−1+3i32−1−3i32-2-11−3i321+3i3223i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ131-103−300ζ7+ζ23−ζ7−ζ23−ζ23ζ23−ζ7ζ7−ζ5−ζ13ζ5+ζ13ζ5−ζ5ζ13−ζ1300000000000-4420-223−23-11−3i321+3i3221−1+3i32−1−3i32-2−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ222ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ13-110−3300−ζ7−ζ23ζ7+ζ23ζ23−ζ23ζ7−ζ7ζ5+ζ13−ζ5−ζ13−ζ5ζ5−ζ13ζ1300000000000
χ12288-48-4-4-4-4222-4222-4-42222000000000000-1-12-1-10000000000000000000000000-8-84-84444-2-2-24-2-2-244-2-2-2-200000000000011-2110000000000000000000000000
χ12388-4-8-444-4222-422244-2-2-2-2000000000000-1-1-2110000000000000000000000000-8-8484-4-44-2-2-24-2-2-2-4-42222000000000000112-1-10000000000000000000000000
χ1248-880-800-4-4-42444-20000000000000000002-20000000000000000000000000000-88-80800444-2-4-4-42000000000000000000-220000000000000000000000000000
χ1258-8-40443−43-42224-2-2-200−23−232323000000000000-1103−30000000000000000000000000-8840-4−43434-2-2-2-4222002323−23−230000000000001-10−330000000000000000000000000
χ1268-8-404−4343-42224-2-2-2002323−23−23000000000000-110−330000000000000000000000000-8840-443−434-2-2-2-422200−23−2323230000000000001-103−30000000000000000000000000

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