Finite Group Databasebeta

← Group #11921116

Character table — Group #11921116

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222336666666666666666666666666666616161616242432323232323232323232727296969696
order123461212224444444446612121212121212121212121212121212121233664433661212121212124412121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ511111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ7111-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-11-11-11-1
χ8111-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-11-11-11
χ9111-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ10111-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ11111-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ12111-11-1-111-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ1322-12-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-122-1-1-1-1000000
χ1422-12-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000
χ1522-12-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000
χ1622-1-2-11122-22222-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111222200-1-1-1-1-2-21111000000
χ1722-1-2-11122-22222-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000
χ1822-1-2-11122-22222-2-2-2-2-1-111-1-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000
χ192-220-2002-2022-2-200002-2002222-2-2-2-20000000022-2-20022-2-2000000000000
χ202-220-2002-2022-2-200002-2002222-2-2-2-200000000−1−i3−1+i31+i31−i300−1−i3−1+i31+i31−i3000000000000
χ212-220-2002-2022-2-200002-2002222-2-2-2-200000000−1+i3−1−i31−i31+i300−1+i3−1−i31−i31+i3000000000000
χ222-2-1013−32-2022-2-20000-113−3-1-1-1-111113333−3−3−3−322-2-200-1-111003−33−3000000
χ232-2-1013−32-2022-2-20000-113−3-1-1-1-111113333−3−3−3−3−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ242-2-1013−32-2022-2-20000-113−3-1-1-1-111113333−3−3−3−3−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000
χ252-2-101−332-2022-2-20000-11−33-1-1-1-11111−3−3−3−3333322-2-200-1-11100−33−33000000
χ262-2-101−332-2022-2-20000-11−33-1-1-1-11111−3−3−3−33333−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ272-2-101−332-2022-2-20000-11−33-1-1-1-11111−3−3−3−33333−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000
χ283333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000330000000000-1-10000
χ293333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-3-30000000000110000
χ30333-33-3-333-3-1-1-1-1111133-3-3-1-1-1-1-1-1-1-11111111100003-30000000000-110000
χ31333-33-3-333-3-1-1-1-1111133-3-3-1-1-1-1-1-1-1-1111111110000-3300000000001-10000
χ326666666-2-2-22i−2i2i−2i2i2i−2i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ336666666-2-2-2−2i2i−2i2i−2i−2i2i2i-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ34666-66-6-6-2-222i−2i2i−2i−2i−2i2i2i-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ35666-66-6-6-2-22−2i2i−2i2i2i2i−2i−2i-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ3666-36-3-3-3666-2-2-2-2-2-2-2-2-3-3-3-311111111111111110000000000000000000000
χ3766-36-3-3-3-2-2-22i−2i2i−2i2i2i−2i−2i1111−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ110000000000000000000000
χ3866-36-3-3-3-2-2-22i−2i2i−2i2i2i−2i−2i1111ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ100000000000000000000000
χ3966-36-3-3-3-2-2-2−2i2i−2i2i−2i−2i2i2i1111−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ110000000000000000000000
χ4066-36-3-3-3-2-2-2−2i2i−2i2i−2i−2i2i2i1111ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ100000000000000000000000
χ4166-3-6-33366-6-2-2-2-22222-3-33311111111-1-1-1-1-1-1-1-10000000000000000000000
χ4266-3-6-333-2-222i−2i2i−2i−2i−2i2i2i11-1-1−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ110000000000000000000000
χ4366-3-6-333-2-222i−2i2i−2i−2i−2i2i2i11-1-1ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ100000000000000000000000
χ4466-3-6-333-2-22−2i2i−2i2i2i2i−2i−2i11-1-1−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ110000000000000000000000
χ4566-3-6-333-2-22−2i2i−2i2i2i2i−2i−2i11-1-1ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ100000000000000000000000
χ466-660-6006-60-2-22200006-600-2-2-2-22222000000000000000000000000000000
χ476-660-600-2202i−2i−2i2i2+2i−2−2i2−2i−2+2i-22002i2i−2i−2i−2i−2i2i2i2+2i−2−2i−2+2i2−2i−2−2i2+2i2−2i−2+2i0000000000000000000000
χ486-660-600-2202i−2i−2i2i−2−2i2+2i−2+2i2−2i-22002i2i−2i−2i−2i−2i2i2i−2−2i2+2i2−2i−2+2i2+2i−2−2i−2+2i2−2i0000000000000000000000
χ496-660-600-220−2i2i2i−2i2−2i−2+2i2+2i−2−2i-2200−2i−2i2i2i2i2i−2i−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i0000000000000000000000
χ506-660-600-220−2i2i2i−2i−2+2i2−2i−2−2i2+2i-2200−2i−2i2i2i2i2i−2i−2i−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i0000000000000000000000
χ516-6-30333−336-60-2-2220000-3333−331111-1-1-1-1−3−3−3−333330000000000000000000000
χ526-6-30333−33-2202i−2i−2i2i2+2i−2−2i2−2i−2+2i1-1−33−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11ζ7−2ζ10+ζ112ζ2−ζ7−ζ11ζ7+2ζ10+ζ11−2ζ2−ζ7−ζ11−ζ7+2ζ10−ζ11−2ζ2+ζ7+ζ11−ζ7−2ζ10−ζ112ζ2+ζ7+ζ110000000000000000000000
χ536-6-30333−33-2202i−2i−2i2i−2−2i2+2i−2+2i2−2i1-1−33ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ102ζ2−ζ7−ζ11ζ7−2ζ10+ζ11−2ζ2−ζ7−ζ11ζ7+2ζ10+ζ11−2ζ2+ζ7+ζ11−ζ7+2ζ10−ζ112ζ2+ζ7+ζ11−ζ7−2ζ10−ζ110000000000000000000000
χ546-6-30333−33-220−2i2i2i−2i2−2i−2+2i2+2i−2−2i1-1−33ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ10−2ζ2−ζ7−ζ11ζ7+2ζ10+ζ112ζ2−ζ7−ζ11ζ7−2ζ10+ζ112ζ2+ζ7+ζ11−ζ7−2ζ10−ζ11−2ζ2+ζ7+ζ11−ζ7+2ζ10−ζ110000000000000000000000
χ556-6-30333−33-220−2i2i2i−2i−2+2i2−2i−2−2i2+2i1-1−33−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11ζ7+2ζ10+ζ11−2ζ2−ζ7−ζ11ζ7−2ζ10+ζ112ζ2−ζ7−ζ11−ζ7−2ζ10−ζ112ζ2+ζ7+ζ11−ζ7+2ζ10−ζ11−2ζ2+ζ7+ζ110000000000000000000000
χ566-6-303−33336-60-2-2220000-33−33331111-1-1-1-13333−3−3−3−30000000000000000000000
χ576-6-303−3333-2202i−2i−2i2i2+2i−2−2i2−2i−2+2i1-13−3ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ10−2ζ2+ζ7+ζ11−ζ7+2ζ10−ζ112ζ2+ζ7+ζ11−ζ7−2ζ10−ζ112ζ2−ζ7−ζ11ζ7−2ζ10+ζ11−2ζ2−ζ7−ζ11ζ7+2ζ10+ζ110000000000000000000000
χ586-6-303−3333-2202i−2i−2i2i−2−2i2+2i−2+2i2−2i1-13−3−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11−ζ7+2ζ10−ζ11−2ζ2+ζ7+ζ11−ζ7−2ζ10−ζ112ζ2+ζ7+ζ11ζ7−2ζ10+ζ112ζ2−ζ7−ζ11ζ7+2ζ10+ζ11−2ζ2−ζ7−ζ110000000000000000000000
χ596-6-303−3333-220−2i2i2i−2i2−2i−2+2i2+2i−2−2i1-13−3−ζ2−2ζ7+ζ10ζ2−ζ10−2ζ11−ζ2+2ζ7+ζ10ζ2−ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10+2ζ11ζ2−2ζ7−ζ10−ζ2+ζ10−2ζ11−ζ7−2ζ10−ζ112ζ2+ζ7+ζ11−ζ7+2ζ10−ζ11−2ζ2+ζ7+ζ11ζ7+2ζ10+ζ11−2ζ2−ζ7−ζ11ζ7−2ζ10+ζ112ζ2−ζ7−ζ110000000000000000000000
χ606-6-303−3333-220−2i2i2i−2i−2+2i2−2i−2−2i2+2i1-13−3ζ2−ζ10−2ζ11−ζ2−2ζ7+ζ10ζ2−ζ10+2ζ11−ζ2+2ζ7+ζ10−ζ2+ζ10+2ζ11ζ2+2ζ7−ζ10−ζ2+ζ10−2ζ11ζ2−2ζ7−ζ102ζ2+ζ7+ζ11−ζ7−2ζ10−ζ11−2ζ2+ζ7+ζ11−ζ7+2ζ10−ζ11−2ζ2−ζ7−ζ11ζ7+2ζ10+ζ112ζ2−ζ7−ζ11ζ7−2ζ10+ζ110000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.