Finite Group Databasebeta

← Group #11858402

Character table — Group #11858402

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222224444444466661212222244444488888888121212122424333366666612121212121212121818181836361111222222444444446666121222224444448888888812121212242433336666661212121212121212181818183636
order12223446664412121212121288884436663121266612121212121212122424242412122222644666441212121212128888442222644666441212121212128888446666612126661212121212121212242424241212222264466644121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i
χ61-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii
χ71-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii
χ81-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i
χ922222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000
χ102222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ112222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000
χ122222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000
χ132222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000
χ1422-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200
χ1522-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200
χ162-22-222-2-22-200-2200000000002-22-222-2-22-200-2200000000002-22-222-2-22-200-2200000000002-22-222-2-22-200-2200000000002-22-222-2-22-200-2200000000002-22-222-2-22-200-220000000000
χ172-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−33000000
χ182-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−3000000
χ192-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii000000
χ202-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i000000
χ212-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−2200
χ222-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−200
χ2344-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000
χ244-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-2000000000000004-4-44-20022-200000000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ291-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i-11-11-11-11-11−ii-11−i−iii-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i11-1-1i−i-11-11-11-11-11−ii-11−i−iii-1-111−ii
χ301-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii-11-11-11-11-11−ii-11−i−iii11-1-1i−i1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii1-11-11-11-11-1i−i1-1ii−i−i-1-111−ii-11-11-11-11-11−ii-11−i−iii11-1-1i−i
χ311-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii-11-11-11-11-11i−i-11ii−i−i-1-111i−i1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii11-1-1−ii-11-11-11-11-11i−i-11ii−i−i-1-111i−i
χ321-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i-11-11-11-11-11i−i-11ii−i−i11-1-1−ii1-11-11-11-11-1−ii1-1−i−iii-1-111i−i1-11-11-11-11-1−ii1-1−i−iii-1-111i−i-11-11-11-11-11i−i-11ii−i−i11-1-1−ii
χ3322222-2-222200-2-2000000000022222-2-222200-2-20000000000-2-2-2-2-222-2-2-20022000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000-2-2-2-2-222-2-2-200220000000000
χ342222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-21111110000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-2111111000000
χ352222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000-2-2-2-21-2-21112211-1-1-1-10000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000-2-2-2-21-2-21112211-1-1-1-1000000
χ362222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000-2-2-2-212211100-1-1i3−i3i3−i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000
χ372222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000-2-2-2-212211100-1-1−i3i3−i3i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000-2-2-2-212211100-1-1−i3i3−i3i3000000
χ3822-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200-2-222-200-22200000000−22−220022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200-2-222-200-22200000000−22−2200
χ3922-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200-2-222-200-222000000002−22−20022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200-2-222-200-222000000002−22−200
χ402-22-222-2-22-200-2200000000002-22-222-2-22-200-220000000000-22-22-2-222-22002-200000000002-22-222-2-22-200-2200000000002-22-222-2-22-200-220000000000-22-22-2-222-22002-20000000000
χ412-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−33000000-22-221-22-11-100-11−333−30000002-22-2-12-21-11001-13−3−330000002-22-2-12-21-11001-13−3−33000000-22-221-22-11-100-11−333−3000000
χ422-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−3000000-22-221-22-11-100-113−3−330000002-22-2-12-21-11001-1−333−30000002-22-2-12-21-11001-1−333−3000000-22-221-22-11-100-113−3−33000000
χ432-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii000000-22-2212-2-11-1−2i2i1-1ii−i−i0000002-22-2-1-221-112i−2i-11−i−iii0000002-22-2-1-221-112i−2i-11−i−iii000000-22-2212-2-11-1−2i2i1-1ii−i−i000000
χ442-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i000000-22-2212-2-11-12i−2i1-1−i−iii0000002-22-2-1-221-11−2i2i-11ii−i−i0000002-22-2-1-221-11−2i2i-11ii−i−i000000-22-2212-2-11-12i−2i1-1−i−iii000000
χ452-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−2200-222-2-20022-200000000−222−2002-2-22200-2-22000000002−2−22002-2-22200-2-22000000002−2−2200-222-2-20022-200000000−222−200
χ462-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−200-222-2-20022-2000000002−2−22002-2-22200-2-2200000000−222−2002-2-22200-2-2200000000−222−200-222-2-20022-2000000002−2−2200
χ4744-4-4-200-2220000000000000044-4-4-200-22200000000000000-4-4442002-2-20000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000-4-4442002-2-200000000000000
χ484-4-44-20022-2000000000000004-4-44-20022-200000000000000-444-4200-2-22000000000000004-4-44-20022-2000000000000004-4-44-20022-200000000000000-444-4200-2-2200000000000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000
χ512222222222-2-222-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1110000000000000000000000002222222222-2-222-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111000000000000000000000000
χ522222222222-2-222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-111-1-111111111-1-10000000000000000000000002222222222-2-222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1000000000000000000000000
χ532-22-22-22-22-22i−2i2-22i2i−2i−2i22-2-22i−2i-11-11-11-11-11−ii-11−i−iii-1-111−ii0000000000000000000000002-22-22-22-22-22i−2i2-22i2i−2i−2i22-2-22i−2i-11-11-11-11-11−ii-11−i−iii-1-111−ii000000000000000000000000
χ542-22-22-22-22-22i−2i2-22i2i−2i−2i-2-222−2i2i-11-11-11-11-11−ii-11−i−iii11-1-1i−i0000000000000000000000002-22-22-22-22-22i−2i2-22i2i−2i−2i-2-222−2i2i-11-11-11-11-11−ii-11−i−iii11-1-1i−i000000000000000000000000
χ552-22-22-22-22-2−2i2i2-2−2i−2i2i2i22-2-2−2i2i-11-11-11-11-11i−i-11ii−i−i-1-111i−i0000000000000000000000002-22-22-22-22-2−2i2i2-2−2i−2i2i2i22-2-2−2i2i-11-11-11-11-11i−i-11ii−i−i-1-111i−i000000000000000000000000
χ562-22-22-22-22-2−2i2i2-2−2i−2i2i2i-2-2222i−2i-11-11-11-11-11i−i-11ii−i−i11-1-1−ii0000000000000000000000002-22-22-22-22-2−2i2i2-2−2i−2i2i2i-2-2222i−2i-11-11-11-11-11i−i-11ii−i−i11-1-1−ii000000000000000000000000
χ5744444-4-444400-4-40000000000-2-2-2-2-222-2-2-20022000000000000000000000000000000000044444-4-444400-4-40000000000-2-2-2-2-222-2-2-200220000000000000000000000000000000000
χ584444-244-2-2-244-2-2-2-2-2-2000000-2-2-2-21-2-2111-2-21111110000000000000000000000000000004444-244-2-2-244-2-2-2-2-2-2000000-2-2-2-21-2-2111-2-2111111000000000000000000000000000000
χ594444-244-2-2-2-4-4-2-22222000000-2-2-2-21-2-21112211-1-1-1-10000000000000000000000000000004444-244-2-2-2-4-4-2-22222000000-2-2-2-21-2-21112211-1-1-1-1000000000000000000000000000000
χ604444-2-4-4-2-2-20022−2i32i3−2i32i3000000-2-2-2-212211100-1-1i3−i3i3−i30000000000000000000000000000004444-2-4-4-2-2-20022−2i32i3−2i32i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000000000000000000000000000
χ614444-2-4-4-2-2-200222i3−2i32i3−2i3000000-2-2-2-212211100-1-1−i3i3−i3i30000000000000000000000000000004444-2-4-4-2-2-200222i3−2i32i3−2i3000000-2-2-2-212211100-1-1−i3i3−i3i3000000000000000000000000000000
χ6244-4-44004-4-40000000022−2222−2200-2-222-200-22200000000−22−220000000000000000000000000044-4-44004-4-40000000022−2222−2200-2-222-200-22200000000−22−2200000000000000000000000000
χ6344-4-44004-4-400000000−2222−222200-2-222-200-222000000002−22−20000000000000000000000000044-4-44004-4-400000000−2222−222200-2-222-200-222000000002−22−200000000000000000000000000
χ644-44-444-4-44-400-440000000000-22-22-2-222-22002-200000000000000000000000000000000004-44-444-4-44-400-440000000000-22-22-2-222-22002-20000000000000000000000000000000000
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χ1334444-2-4-4-2-2-200222i3−2i32i3−2i3000000-2-2-2-212211100-1-1−i3i3−i3i3000000000000000000000000000000-4-4-4-424422200-2-2−2i32i3−2i32i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000000000000000000000000000
χ13444-4-44004-4-40000000022−2222−2200-2-222-200-22200000000−22−2200000000000000000000000000-4-444-400-44400000000−2222−22220022-2-22002-2-2000000002−22−200000000000000000000000000
χ13544-4-44004-4-400000000−2222−222200-2-222-200-222000000002−22−200000000000000000000000000-4-444-400-4440000000022−2222−220022-2-22002-2-200000000−22−2200000000000000000000000000
χ1364-44-444-4-44-400-440000000000-22-22-2-222-22002-20000000000000000000000000000000000-44-44-4-444-44004-400000000002-22-222-2-22-200-220000000000000000000000000000000000
χ1374-44-4-24-42-22002-223−23−2323000000-22-221-22-11-100-11−333−3000000000000000000000000000000-44-442-44-22-200-22−232323−230000002-22-2-12-21-11001-13−3−33000000000000000000000000000000
χ1384-44-4-24-42-22002-2−232323−23000000-22-221-22-11-100-113−3−33000000000000000000000000000000-44-442-44-22-200-2223−23−23230000002-22-2-12-21-11001-1−333−3000000000000000000000000000000
χ1394-44-4-2-442-224i−4i-22−2i−2i2i2i000000-22-2212-2-11-1−2i2i1-1ii−i−i000000000000000000000000000000-44-4424-4-22-2−4i4i2-22i2i−2i−2i0000002-22-2-1-221-112i−2i-11−i−iii000000000000000000000000000000
χ1404-44-4-2-442-22−4i4i-222i2i−2i−2i000000-22-2212-2-11-12i−2i1-1−i−iii000000000000000000000000000000-44-4424-4-22-24i−4i2-2−2i−2i2i2i0000002-22-2-1-221-11−2i2i-11ii−i−i000000000000000000000000000000
χ1414-4-44400-4-440000000022−22−222200-222-2-20022-200000000−222−200000000000000000000000000-444-4-40044-400000000−222222−22002-2-22200-2-22000000002−2−2200000000000000000000000000
χ1424-4-44400-4-4400000000−222222−2200-222-2-20022-2000000002−2−2200000000000000000000000000-444-4-40044-40000000022−22−2222002-2-22200-2-2200000000−222−200000000000000000000000000
χ14388-8-8-400-44400000000000000-4-4442002-2-200000000000000000000000000000000000000-8-8884004-4-40000000000000044-4-4-200-22200000000000000000000000000000000000000
χ1448-8-88-40044-400000000000000-444-4200-2-2200000000000000000000000000000000000000-888-8400-4-44000000000000004-4-44-20022-200000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).