Finite Group Databasebeta

← Group #11771838

Character table — Group #11771838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222244444444448888888888888888824242424242424241111222222444444444488888888888888888242424242424242411112222224444444444888888888888888882424242424242424
order1222223666444466121212124888812121212242424242424242444448888366666366612121212661212121212242424241212121224242424242424241212121224242424366666366612121212661212121212242424241212121224242424242424241212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-111-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-1ii−i−i1111111111-1-1-1-111-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-1ii−i−i1111111111-1-1-1-111-1-1-1-11ii−i−i-1-111iiii−i−i−i−i11-1-1ii−i−i
χ61111111111-1-1-1-111-1-1-1-11ii−i−i-1-111iiii−i−i−i−i-1-111−i−iii1111111111-1-1-1-111-1-1-1-11ii−i−i-1-111iiii−i−i−i−i-1-111−i−iii1111111111-1-1-1-111-1-1-1-11ii−i−i-1-111iiii−i−i−i−i-1-111−i−iii
χ71111111111-1-1-1-111-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-1−i−iii1111111111-1-1-1-111-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-1−i−iii1111111111-1-1-1-111-1-1-1-11−i−iii-1-111−i−i−i−iiiii11-1-1−i−iii
χ81111111111-1-1-1-111-1-1-1-11−i−iii-1-111−i−i−i−iiiii-1-111ii−i−i1111111111-1-1-1-111-1-1-1-11−i−iii-1-111−i−i−i−iiiii-1-111ii−i−i1111111111-1-1-1-111-1-1-1-11−i−iii-1-111−i−i−i−iiiii-1-111ii−i−i
χ922222222222-2-2222-2-2-2-2-2000022-2-2000000000000000022222222222-2-2222-2-2-2-2-2000022-2-2000000000000000022222222222-2-2222-2-2-2-2-2000022-2-20000000000000000
χ102222222222-222-2222222-20000-2-2-2-200000000000000002222222222-222-2222222-20000-2-2-2-200000000000000002222222222-222-2222222-20000-2-2-2-20000000000000000
χ11222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ12222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000
χ13222222-1-1-1-12-2-22-1-11111-20000-1-11133−3−333−3−300000000222222-1-1-1-12-2-22-1-11111-20000-1-11133−3−333−3−300000000222222-1-1-1-12-2-22-1-11111-20000-1-11133−3−333−3−300000000
χ14222222-1-1-1-12-2-22-1-11111-20000-1-111−3−333−3−33300000000222222-1-1-1-12-2-22-1-11111-20000-1-111−3−333−3−33300000000222222-1-1-1-12-2-22-1-11111-20000-1-111−3−333−3−33300000000
χ15222222-1-1-1-1-222-2-1-1-1-1-1-1-200001111−i3−i3i3i3i3i3−i3−i300000000222222-1-1-1-1-222-2-1-1-1-1-1-1-200001111−i3−i3i3i3i3i3−i3−i300000000222222-1-1-1-1-222-2-1-1-1-1-1-1-200001111−i3−i3i3i3i3i3−i3−i300000000
χ16222222-1-1-1-1-222-2-1-1-1-1-1-1-200001111i3i3−i3−i3−i3−i3i3i300000000222222-1-1-1-1-222-2-1-1-1-1-1-1-200001111i3i3−i3−i3−i3−i3i3i300000000222222-1-1-1-1-222-2-1-1-1-1-1-1-200001111i3i3−i3−i3−i3−i3i3i300000000
χ17222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i11-1-1−i−i−i−iiiii00000000222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i11-1-1−i−i−i−iiiii00000000222222-1-1-1-1-2-2-2-2-1-1111122i2i−2i−2i11-1-1−i−i−i−iiiii00000000
χ18222222-1-1-1-1-2-2-2-2-1-111112−2i−2i2i2i11-1-1iiii−i−i−i−i00000000222222-1-1-1-1-2-2-2-2-1-111112−2i−2i2i2i11-1-1iiii−i−i−i−i00000000222222-1-1-1-1-2-2-2-2-1-111112−2i−2i2i2i11-1-1iiii−i−i−i−i00000000
χ192-2-222-22-22-202i−2i02-22i2i−2i−2i0000000000000000000001+i−1−i1−i−1+i2-2-222-22-22-202i−2i02-22i2i−2i−2i0000000000000000000001+i−1−i1−i−1+i2-2-222-22-22-202i−2i02-22i2i−2i−2i0000000000000000000001+i−1−i1−i−1+i
χ202-2-222-22-22-202i−2i02-22i2i−2i−2i000000000000000000000−1−i1+i−1+i1−i2-2-222-22-22-202i−2i02-22i2i−2i−2i000000000000000000000−1−i1+i−1+i1−i2-2-222-22-22-202i−2i02-22i2i−2i−2i000000000000000000000−1−i1+i−1+i1−i
χ212-2-222-22-22-20−2i2i02-2−2i−2i2i2i0000000000000000000001−i−1+i1+i−1−i2-2-222-22-22-20−2i2i02-2−2i−2i2i2i0000000000000000000001−i−1+i1+i−1−i2-2-222-22-22-20−2i2i02-2−2i−2i2i2i0000000000000000000001−i−1+i1+i−1−i
χ222-2-222-22-22-20−2i2i02-2−2i−2i2i2i000000000000000000000−1+i1−i−1−i1+i2-2-222-22-22-20−2i2i02-2−2i−2i2i2i000000000000000000000−1+i1−i−1−i1+i2-2-222-22-22-20−2i2i02-2−2i−2i2i2i000000000000000000000−1+i1−i−1−i1+i
χ232-2-22-222-22-2200-2-2200000−i2i2−i2i22-200−i2i2−i2i2−i2i2−i2i2000000002-2-22-222-22-2200-2-2200000−i2i2−i2i22-200−i2i2−i2i2−i2i2−i2i2000000002-2-22-222-22-2200-2-2200000−i2i2−i2i22-200−i2i2−i2i2−i2i2−i2i200000000
χ242-2-22-222-22-2200-2-2200000i2−i2i2−i22-200i2−i2i2−i2i2−i2i2−i2000000002-2-22-222-22-2200-2-2200000i2−i2i2−i22-200i2−i2i2−i2i2−i2i2−i2000000002-2-22-222-22-2200-2-2200000i2−i2i2−i22-200i2−i2i2−i2i2−i2i2−i200000000
χ252-2-22-222-22-2-2002-22000002−2−22-22002−22−2−22−22000000002-2-22-222-22-2-2002-22000002−2−22-22002−22−2−22−22000000002-2-22-222-22-2-2002-22000002−2−22-22002−22−2−22−2200000000
χ262-2-22-222-22-2-2002-2200000−222−2-2200−22−222−22−2000000002-2-22-222-22-2-2002-2200000−222−2-2200−22−222−22−2000000002-2-22-222-22-2-2002-2200000−222−2-2200−22−222−22−200000000
χ272-2-22-22-11-11200-21-13−33−30−i2i2−i2i2-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2-22-22-11-11200-21-13−33−30−i2i2−i2i2-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2-22-22-11-11200-21-13−33−30−i2i2−i2i2-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ282-2-22-22-11-11200-21-13−33−30i2−i2i2−i2-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2-22-22-11-11200-21-13−33−30i2−i2i2−i2-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2-22-22-11-11200-21-13−33−30i2−i2i2−i2-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ292-2-22-22-11-11200-21-1−33−330−i2i2−i2i2-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2-22-22-11-11200-21-1−33−330−i2i2−i2i2-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2-22-22-11-11200-21-1−33−330−i2i2−i2i2-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ302-2-22-22-11-11200-21-1−33−330i2−i2i2−i2-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2-22-22-11-11200-21-1−33−330i2−i2i2−i2-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2-22-22-11-11200-21-1−33−330i2−i2i2−i2-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ312-2-22-22-11-11-20021-13−33−302−2−221-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000002-2-22-22-11-11-20021-13−33−302−2−221-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000002-2-22-22-11-11-20021-13−33−302−2−221-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000
χ322-2-22-22-11-11-20021-13−33−30−222−21-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000002-2-22-22-11-11-20021-13−33−30−222−21-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000002-2-22-22-11-11-20021-13−33−30−222−21-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000
χ332-2-22-22-11-11-20021-1−33−3302−2−221-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000002-2-22-22-11-11-20021-1−33−3302−2−221-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000002-2-22-22-11-11-20021-1−33−3302−2−221-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000
χ342-2-22-22-11-11-20021-1−33−330−222−21-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000002-2-22-22-11-11-20021-1−33−330−222−21-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000002-2-22-22-11-11-20021-1−33−330−222−21-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000
χ354444-4-444440000-4-4000000000000000000000000000004444-4-444440000-4-4000000000000000000000000000004444-4-444440000-4-400000000000000000000000000000
χ364444-4-4-2-2-2-2000022−2i32i32i3−2i300000000000000000000000004444-4-4-2-2-2-2000022−2i32i32i3−2i300000000000000000000000004444-4-4-2-2-2-2000022−2i32i32i3−2i30000000000000000000000000
χ374444-4-4-2-2-2-20000222i3−2i3−2i32i300000000000000000000000004444-4-4-2-2-2-20000222i3−2i3−2i32i300000000000000000000000004444-4-4-2-2-2-20000222i3−2i3−2i32i30000000000000000000000000
χ3844-4-40044-4-4000000000000000000000000000002-2000044-4-40044-4-4000000000000000000000000000002-2000044-4-40044-4-4000000000000000000000000000002-20000
χ3944-4-40044-4-400000000000000000000000000000-22000044-4-40044-4-400000000000000000000000000000-22000044-4-40044-4-400000000000000000000000000000-220000
χ404-44-4004-4-440000000000000000000000000002i−2i0000004-44-4004-4-440000000000000000000000000002i−2i0000004-44-4004-4-440000000000000000000000000002i−2i000000
χ414-44-4004-4-44000000000000000000000000000−2i2i0000004-44-4004-4-44000000000000000000000000000−2i2i0000004-44-4004-4-44000000000000000000000000000−2i2i000000
χ424-4-444-4-22-2204i−4i0-22−2i−2i2i2i00000000000000000000000004-4-444-4-22-2204i−4i0-22−2i−2i2i2i00000000000000000000000004-4-444-4-22-2204i−4i0-22−2i−2i2i2i0000000000000000000000000
χ434-4-444-4-22-220−4i4i0-222i2i−2i−2i00000000000000000000000004-4-444-4-22-220−4i4i0-222i2i−2i−2i00000000000000000000000004-4-444-4-22-220−4i4i0-222i2i−2i−2i0000000000000000000000000
χ4488-8-800-4-4440000000000000000000000000000000000088-8-800-4-4440000000000000000000000000000000000088-8-800-4-44400000000000000000000000000000000000
χ458-88-800-444-4000000000000000000000000000000000008-88-800-444-4000000000000000000000000000000000008-88-800-444-400000000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+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−i32−1−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
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−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
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χ49111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+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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χ9922222222222-2-2222-2-2-2-2-2000022-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i30000000000000000
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χ101222222-1-1-1-12222-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ102222222-1-1-1-12222-1-1-1-1-1-12-2-2-2-2-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
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χ1182-2-22-22-11-11200-21-13−33−30i2−i2i2−i2-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i3001+i3−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ131+i32−1−i322ζ14+ζ22−2ζ14−ζ22ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i3001−i3−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ231−i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ1300000000
χ1192-2-22-22-11-11200-21-1−33−330−i2i2−i2i2-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i3001+i3−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ131+i32−1−i32−2ζ14−ζ222ζ14+ζ22ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ23ζ5−ζ7−ζ23−ζ5+ζ7+ζ23−ζ5−ζ13+ζ23ζ5+ζ13−ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i3001−i3−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ231−i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ23−ζ5+ζ7−ζ13ζ5−ζ7+ζ13−ζ7+ζ13−ζ23ζ7−ζ13+ζ2300000000
χ1202-2-22-22-11-11200-21-1−33−330i2−i2i2−i2-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i32−1−i3001+i3−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ131+i32−1−i32−2ζ14−ζ222ζ14+ζ22−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ23−ζ5+ζ7+ζ23ζ5−ζ7−ζ23ζ5+ζ13−ζ23−ζ5−ζ13+ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i32−1+i3001−i3−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ231−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ23ζ5−ζ7+ζ13−ζ5+ζ7−ζ13ζ7−ζ13+ζ23−ζ7+ζ13−ζ2300000000
χ1212-2-22-22-11-11-20021-13−33−302−2−221-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i321+i300−1−i3−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1−i321+i32−2ζ14−ζ222ζ14+ζ22−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i321−i300−1+i3−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ1300000000
χ1222-2-22-22-11-11-20021-13−33−30−222−21-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i321+i300−1−i3−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1−i321+i32−2ζ14−ζ222ζ14+ζ22ζ5+ζ13+ζ23−ζ5−ζ13−ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i321−i300−1+i3−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ7−ζ13−ζ23ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ1300000000
χ1232-2-22-22-11-11-20021-1−33−3302−2−221-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i321+i300−1−i3−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1−i321+i322ζ14+ζ22−2ζ14−ζ22ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ23−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i321−i300−1+i3−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ2300000000
χ1242-2-22-22-11-11-20021-1−33−330−222−21-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i321+i32−1−i321+i300−1−i3−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1−i321+i322ζ14+ζ22−2ζ14−ζ22−ζ5−ζ7−ζ23ζ5+ζ7+ζ23ζ5+ζ13+ζ23−ζ5−ζ13−ζ23ζ5+ζ7+ζ23−ζ5−ζ7−ζ23−ζ5−ζ13−ζ23ζ5+ζ13+ζ2300000000−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i321−i32−1+i321−i300−1+i3−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ5+ζ7+ζ13−ζ5−ζ7−ζ13−ζ7−ζ13−ζ23ζ7+ζ13+ζ23−ζ5−ζ7−ζ13ζ5+ζ7+ζ13ζ7+ζ13+ζ23−ζ7−ζ13−ζ2300000000
χ1254444-4-444440000-4-400000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i300002+2i32+2i300000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i300002−2i32−2i300000000000000000000000000000
χ1264444-4-4-2-2-2-2000022−2i32i32i3−2i30000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i30000−1−i3−1−i3−3+i33−i33−i3−3+i30000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i30000−1+i3−1+i33+i3−3−i3−3−i33+i30000000000000000000000000
χ1274444-4-4-2-2-2-20000222i3−2i3−2i32i30000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i30000−1−i3−1−i33−i3−3+i3−3+i33−i30000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i30000−1+i3−1+i3−3−i33+i33+i3−3−i30000000000000000000000000
χ12844-4-40044-4-4000000000000000000000000000002-20000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i32+2i300000000000000000000000000000−1−i31+i30000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i32−2i300000000000000000000000000000−1+i31−i30000
χ12944-4-40044-4-400000000000000000000000000000-220000−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i32+2i32+2i3000000000000000000000000000001+i3−1−i30000−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i32−2i32−2i3000000000000000000000000000001−i3−1+i30000
χ1304-44-4004-4-440000000000000000000000000002i−2i000000−2−2i32+2i3−2−2i32+2i300−2−2i32+2i32+2i3−2−2i30000000000000000000000000002ζ22−2ζ22000000−2+2i32−2i3−2+2i32−2i300−2+2i32−2i32−2i3−2+2i30000000000000000000000000002ζ14−2ζ14000000
χ1314-44-4004-4-44000000000000000000000000000−2i2i000000−2−2i32+2i3−2−2i32+2i300−2−2i32+2i32+2i3−2−2i3000000000000000000000000000−2ζ222ζ22000000−2+2i32−2i3−2+2i32−2i300−2+2i32−2i32−2i3−2+2i3000000000000000000000000000−2ζ142ζ14000000
χ1324-4-444-4-22-2204i−4i0-22−2i−2i2i2i0000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i31+i3−1−i304ζ22−4ζ2201+i3−1−i3−2ζ22−2ζ222ζ222ζ220000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i31−i3−1+i304ζ14−4ζ1401−i3−1+i3−2ζ14−2ζ142ζ142ζ140000000000000000000000000
χ1334-4-444-4-22-220−4i4i0-222i2i−2i−2i0000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i31+i3−1−i31+i3−1−i30−4ζ224ζ2201+i3−1−i32ζ222ζ22−2ζ22−2ζ220000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i31−i3−1+i31−i3−1+i30−4ζ144ζ1401−i3−1+i32ζ142ζ14−2ζ14−2ζ140000000000000000000000000
χ13488-8-800-4-44400000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i32+2i3−2−2i3−2−2i300000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i32−2i3−2+2i3−2+2i300000000000000000000000000000000000
χ1358-88-800-444-400000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−2−2i3−2−2i32+2i300000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−2+2i3−2+2i32−2i300000000000000000000000000000000000

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