Finite Group Databasebeta

← Group #72342833

Character table — Group #72342833

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size112222244444444488888888881616161616161616336666612121212121212121224242424242424242424484848484848484844888881616161616161616163232323232323232323264646464646464644488888161616161616161616323232323232323232326464646464646464
order12244884488816161616161632323232323232322488888822244884488816161616161632323232323232322488888836612122424121224242448484848484896969696969696966122424242424243661212242412122424244848484848489696969696969696612242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i
χ61111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii
χ71111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii
χ81111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i
χ911-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1011-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-11-1-1-1i−ii−i1ii−i−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1111-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ1311-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1211-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ1311-11-1-1-1i−ii−i1ii−i−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1411-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1511-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1611-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ17222222222222-2-2-2-2-2-20000000000000000222222222222-2-2-2-2-2-20000000000000000222222222222-2-2-2-2-2-20000000000000000222222222222-2-2-2-2-2-20000000000000000
χ182222222-2-2-2-222222-2-200000000000000002222222-2-2-2-222222-2-200000000000000002222222-2-2-2-222222-2-200000000000000002222222-2-2-2-222222-2-20000000000000000
χ1922222-2-222-2-2-20000002−22−22−22−20000000022222-2-222-2-2-20000002−22−22−22−20000000022222-2-222-2-2-20000002−22−22−22−20000000022222-2-222-2-2-20000002−22−22−22−200000000
χ2022222-2-222-2-2-2000000−22−22−22−220000000022222-2-222-2-2-2000000−22−22−22−220000000022222-2-222-2-2-2000000−22−22−22−220000000022222-2-222-2-2-2000000−22−22−22−2200000000
χ2122222-2-2-2-222-2000000i2−i2i2−i2−i2i2−i2i20000000022222-2-2-2-222-2000000i2−i2i2−i2−i2i2−i2i20000000022222-2-2-2-222-2000000i2−i2i2−i2−i2i2−i2i20000000022222-2-2-2-222-2000000i2−i2i2−i2−i2i2−i2i200000000
χ2222222-2-2-2-222-2000000−i2i2−i2i2i2−i2i2−i20000000022222-2-2-2-222-2000000−i2i2−i2i2i2−i2i2−i20000000022222-2-2-2-222-2000000−i2i2−i2i2i2−i2i2−i20000000022222-2-2-2-222-2000000−i2i2−i2i2i2−i2i2−i200000000
χ2322-22-2222i−2i−2i2i-20000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000022-22-2222i−2i−2i2i-20000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000022-22-2222i−2i−2i2i-20000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000022-22-2222i−2i−2i2i-20000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ2422-22-2222i−2i−2i2i-2000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000022-22-2222i−2i−2i2i-2000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000022-22-2222i−2i−2i2i-2000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000022-22-2222i−2i−2i2i-2000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ2522-22-222−2i2i2i−2i-20000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000022-22-222−2i2i2i−2i-20000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000022-22-222−2i2i2i−2i-20000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000022-22-222−2i2i2i−2i-20000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ2622-22-222−2i2i2i−2i-2000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000022-22-222−2i2i2i−2i-2000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000022-22-222−2i2i2i−2i-2000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000022-22-222−2i2i2i−2i-2000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ2722-22-2-2-22i−2i2i−2i2−2i−2i2i2i-22000000000000000022-22-2-2-22i−2i2i−2i2−2i−2i2i2i-22000000000000000022-22-2-2-22i−2i2i−2i2−2i−2i2i2i-22000000000000000022-22-2-2-22i−2i2i−2i2−2i−2i2i2i-220000000000000000
χ2822-22-2-2-2−2i2i−2i2i22i2i−2i−2i-22000000000000000022-22-2-2-2−2i2i−2i2i22i2i−2i−2i-22000000000000000022-22-2-2-2−2i2i−2i2i22i2i−2i−2i-22000000000000000022-22-2-2-2−2i2i−2i2i22i2i−2i−2i-220000000000000000
χ29444-4-400000002i2−2i22i2−2i2000000000000000000444-4-400000002i2−2i22i2−2i2000000000000000000444-4-400000002i2−2i22i2−2i2000000000000000000444-4-400000002i2−2i22i2−2i2000000000000000000
χ30444-4-40000000−2i22i2−2i22i2000000000000000000444-4-40000000−2i22i2−2i22i2000000000000000000444-4-40000000−2i22i2−2i22i2000000000000000000444-4-40000000−2i22i2−2i22i2000000000000000000
χ3144-4-44000000022−22−222200000000000000000044-4-44000000022−22−222200000000000000000044-4-44000000022−22−222200000000000000000044-4-44000000022−22−2222000000000000000000
χ3244-4-440000000−222222−2200000000000000000044-4-440000000−222222−2200000000000000000044-4-440000000−222222−2200000000000000000044-4-440000000−222222−22000000000000000000
χ338-80004i2−4i20000000000000000000000000008-80004i2−4i20000000000000000000000000008-80004i2−4i20000000000000000000000000008-80004i2−4i2000000000000000000000000000
χ348-8000−4i24i20000000000000000000000000008-8000−4i24i20000000000000000000000000008-8000−4i24i20000000000000000000000000008-8000−4i24i2000000000000000000000000000
χ3511111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3611111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ37111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ38111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ391111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22
χ401111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii1111111-1-1-1-11-1-1-1-111iiii−i−i−i−i-1-111−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ411111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii11-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22
χ421111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i1111111-1-1-1-11-1-1-1-111−i−i−i−iiiii-1-111ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22
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χ4711-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ23−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ7−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7
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χ4911-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1+i321−i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ23−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−1−i32−1−i321+i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ7−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7
χ5011-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ2311-11-1-1-1−ii−ii1−i−iii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1+i321−i32−1+i321−i321−i321−i32−ζ14ζ14−ζ14ζ14−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ231−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23−1−i32−1−i321+i32−1−i321+i321+i321+i32−ζ22ζ22−ζ22ζ22−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ71+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7
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χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ72111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.