Finite Group Databasebeta

← Group #11863617

Character table — Group #11863617

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222224444444444444444412121212242422224444444444448888888888888888824242424484833336666666666661212121212121212121212121212121212363636367272
order122222344666121212124668888121224242424242424244444243666663121266612121212126624242424121224242424242424241212121261222222264466612121212466888812122424242424242424444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-111-1-11-1
χ61111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-111111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-111111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-11
χ71111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11
χ81111-1-11111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11111-1-11111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11111-1-11111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1
χ92222222-2-2222-2-2-2-2-2220000-2-2000000000000002222222-2-2222-2-2-2-2-2220000-2-2000000000000002222222-2-2222-2-2-2-2-2220000-2-200000000000000
χ10222222-122-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1000000222222-122-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1000000222222-122-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1000000
χ11222222-122-1-1-1-1-1-1-12-1-1-2-2-2-2-1-111111111000000222222-122-1-1-1-1-1-1-12-1-1-2-2-2-2-1-111111111000000222222-122-1-1-1-1-1-1-12-1-1-2-2-2-2-1-111111111000000
χ12222222-1-2-2-1-1-11111-2-1-100001133−3−333−3−3000000222222-1-2-2-1-1-11111-2-1-100001133−3−333−3−3000000222222-1-2-2-1-1-11111-2-1-100001133−3−333−3−3000000
χ13222222-1-2-2-1-1-11111-2-1-1000011−3−333−3−333000000222222-1-2-2-1-1-11111-2-1-1000011−3−333−3−333000000222222-1-2-2-1-1-11111-2-1-1000011−3−333−3−333000000
χ142222-2-22-2-2222-2-2-2-22-2-2000022000000000000002222-2-22-2-2222-2-2-2-22-2-2000022000000000000002222-2-22-2-2222-2-2-2-22-2-200002200000000000000
χ152222-2-2-122-1-1-1-1-1-1-1-21122-2-211-1-1-1-111110000002222-2-2-122-1-1-1-1-1-1-1-21122-2-211-1-1-1-111110000002222-2-2-122-1-1-1-1-1-1-1-21122-2-211-1-1-1-11111000000
χ162222-2-2-122-1-1-1-1-1-1-1-211-2-222111111-1-1-1-10000002222-2-2-122-1-1-1-1-1-1-1-211-2-222111111-1-1-1-10000002222-2-2-122-1-1-1-1-1-1-1-211-2-222111111-1-1-1-1000000
χ172222-2-2-1-2-2-1-1-111112110000-1-133−3−3−3−3330000002222-2-2-1-2-2-1-1-111112110000-1-133−3−3−3−3330000002222-2-2-1-2-2-1-1-111112110000-1-133−3−3−3−333000000
χ182222-2-2-1-2-2-1-1-111112110000-1-1−3−33333−3−30000002222-2-2-1-2-2-1-1-111112110000-1-1−3−33333−3−30000002222-2-2-1-2-2-1-1-111112110000-1-1−3−33333−3−3000000
χ192-22-22-22002-2-2000002-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000002-22-22-22002-2-2000002-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000002-22-22-22002-2-2000002-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000
χ202-22-22-22002-2-2000002-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000002-22-22-22002-2-2000002-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000002-22-22-22002-2-2000002-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000
χ212-22-22-2-100-11133−3−30-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-22-2-100-11133−3−30-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-22-2-100-11133−3−30-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ222-22-22-2-100-11133−3−30-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-22-2-100-11133−3−30-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-22-2-100-11133−3−30-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ232-22-22-2-100-111−3−3330-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-22-2-100-111−3−3330-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-22-2-100-111−3−3330-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ242-22-22-2-100-111−3−3330-11i2−i2i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-22-2-100-111−3−3330-11i2−i2i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-22-2-100-111−3−3330-11i2−i2i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ252-22-2-222002-2-200000-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i20000002-22-2-222002-2-200000-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i20000002-22-2-222002-2-200000-22−i2i2i2−i200−i2i2−i2i2i2−i2i2−i2000000
χ262-22-2-222002-2-200000-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i20000002-22-2-222002-2-200000-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i20000002-22-2-222002-2-200000-22i2−i2−i2i200i2−i2i2−i2−i2i2−i2i2000000
χ272-22-2-22-100-11133−3−301-1−i2i2i2−i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-2-22-100-11133−3−301-1−i2i2i2−i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-2-22-100-11133−3−301-1−i2i2i2−i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ282-22-2-22-100-11133−3−301-1i2−i2−i2i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-2-22-100-11133−3−301-1i2−i2−i2i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-2-22-100-11133−3−301-1i2−i2−i2i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ292-22-2-22-100-111−3−33301-1−i2i2i2−i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-22-100-111−3−33301-1−i2i2i2−i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-22-2-22-100-111−3−33301-1−i2i2i2−i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ302-22-2-22-100-111−3−33301-1i2−i2−i2i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-22-100-111−3−33301-1i2−i2−i2i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-2-22-100-111−3−33301-1i2−i2−i2i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ312-2-220022-2-2-222-22-2000000000000000002-200002-2-220022-2-2-222-22-2000000000000000002-200002-2-220022-2-2-222-22-2000000000000000002-20000
χ322-2-220022-2-2-222-22-200000000000000000-2200002-2-220022-2-2-222-22-200000000000000000-2200002-2-220022-2-2-222-22-200000000000000000-220000
χ332-2-22002-22-2-22-22-2200000000000000000002-2002-2-22002-22-2-22-22-2200000000000000000002-2002-2-22002-22-2-22-22-2200000000000000000002-200
χ342-2-22002-22-2-22-22-220000000000000000000-22002-2-22002-22-2-22-22-220000000000000000000-22002-2-22002-22-2-22-22-220000000000000000000-2200
χ3544-4-400400-44-400000000000000000000000000044-4-400400-44-400000000000000000000000000044-4-400400-44-4000000000000000000000000000
χ3644-4-400-2002-2223−23−23230000000000000000000000044-4-400-2002-2223−23−23230000000000000000000000044-4-400-2002-2223−23−232300000000000000000000000
χ3744-4-400-2002-22−232323−230000000000000000000000044-4-400-2002-22−232323−230000000000000000000000044-4-400-2002-22−232323−2300000000000000000000000
χ384-4-4400-24-422-2-22-22000000000000000000000004-4-4400-24-422-2-22-22000000000000000000000004-4-4400-24-422-2-22-2200000000000000000000000
χ394-4-4400-2-4422-22-22-2000000000000000000000004-4-4400-2-4422-22-22-2000000000000000000000004-4-4400-2-4422-22-22-200000000000000000000000
χ40111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ421111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111
χ431111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1
χ441111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-111-11
χ451111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-111111-1-11111111111-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-11-1
χ461111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1111-1
χ471111-1-11111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11111-1-11111111111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-111-1-1-11
χ482222222-2-2222-2-2-2-2-2220000-2-2000000000000002222222-2-2222-2-2-2-2-2220000-2-200000000000000-2-2-2-2-2-2-222-2-2-222222-2-200002200000000000000
χ49222222-122-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1000000222222-122-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-21-2-21111111-211-2-2-2-21111111111000000
χ50222222-122-1-1-1-1-1-1-12-1-1-2-2-2-2-1-111111111000000222222-122-1-1-1-1-1-1-12-1-1-2-2-2-2-1-111111111000000-2-2-2-2-2-21-2-21111111-211222211-1-1-1-1-1-1-1-1000000
χ51222222-1-2-2-1-1-11111-2-1-100001133−3−333−3−3000000222222-1-2-2-1-1-11111-2-1-100001133−3−333−3−3000000-2-2-2-2-2-2122111-1-1-1-12110000-1-1−3−333−3−333000000
χ52222222-1-2-2-1-1-11111-2-1-1000011−3−333−3−333000000222222-1-2-2-1-1-11111-2-1-1000011−3−333−3−333000000-2-2-2-2-2-2122111-1-1-1-12110000-1-133−3−333−3−3000000
χ532222-2-22-2-2222-2-2-2-22-2-2000022000000000000002222-2-22-2-2222-2-2-2-22-2-200002200000000000000-2-2-2-222-222-2-2-22222-2220000-2-200000000000000
χ542222-2-2-122-1-1-1-1-1-1-1-21122-2-211-1-1-1-111110000002222-2-2-122-1-1-1-1-1-1-1-21122-2-211-1-1-1-11111000000-2-2-2-2221-2-211111112-1-1-2-222-1-11111-1-1-1-1000000
χ552222-2-2-122-1-1-1-1-1-1-1-211-2-222111111-1-1-1-10000002222-2-2-122-1-1-1-1-1-1-1-211-2-222111111-1-1-1-1000000-2-2-2-2221-2-211111112-1-122-2-2-1-1-1-1-1-11111000000
χ562222-2-2-1-2-2-1-1-111112110000-1-133−3−3−3−3330000002222-2-2-1-2-2-1-1-111112110000-1-133−3−3−3−333000000-2-2-2-222122111-1-1-1-1-2-1-1000011−3−33333−3−3000000
χ572222-2-2-1-2-2-1-1-111112110000-1-1−3−33333−3−30000002222-2-2-1-2-2-1-1-111112110000-1-1−3−33333−3−3000000-2-2-2-222122111-1-1-1-1-2-1-100001133−3−3−3−333000000
χ582-22-22-22002-2-2000002-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000002-22-22-22002-2-2000002-2−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000-22-22-22-200-22200000-22i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000
χ592-22-22-22002-2-2000002-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000002-22-22-22002-2-2000002-2i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000-22-22-22-200-22200000-22−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000
χ602-22-22-2-100-11133−3−30-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-22-22-2-100-11133−3−30-11−i2i2−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-22-221001-1-1−3−33301-1i2−i2i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ612-22-22-2-100-11133−3−30-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-22-22-2-100-11133−3−30-11i2−i2i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-22-221001-1-1−3−33301-1−i2i2−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ622-22-22-2-100-111−3−3330-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-22-22-2-100-111−3−3330-11−i2i2−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-22-221001-1-133−3−301-1i2−i2i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.