Finite Group Databasebeta

← Group #11921003

Character table — Group #11921003

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222222333366666666666666666666668888888888888888888888888888888888888888888888887272727272727272
order124423444446661212121212121212121212122244244444666612121212121212121212121233366666666612121212121212121212121212121212121212121212121212121212121212121212121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1-11-1i−ii−i
χ611-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i-11-11−ii−ii
χ711-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1-11-1−ii−ii
χ811-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii-11-11i−ii−i
χ92222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ102222222-2-2-2-22222222-2-2-2-2-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000
χ1122222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ1222222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-100000000
χ1322222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200000000
χ1422222-12-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-1111111112-1-12-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111100000000
χ1522222-12-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-111111111-12-1-12-1-1-122-1-1-1-122-1-1-1-122-1-11111-2-2-2-211111111-2-2-2-2111100000000
χ1622222-12-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-12-1-12-1-1-1-122-1-1-1-122-1-1-1-12211111111-2-2-2-211111111-2-2-2-200000000
χ172222-22-200002-2-2-2-222000000002222-2-2000022-2-2-2-22200000000222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000
χ182222-22-200002-2-2-2-222000000002222-2-2000022-2-2-2-22200000000-1-1-1-1-1-1111111111111-1-1-1-1-1-133−3−333−3−333−3−333−3−333−3−333−3−300000000
χ192222-22-200002-2-2-2-222000000002222-2-2000022-2-2-2-22200000000-1-1-1-1-1-1111111111111-1-1-1-1-1-1−3−333−3−333−3−333−3−333−3−333−3−33300000000
χ202222-2-1-20000-11111-1-133−3−333−3−32222-2-20000-1-11111-1-133−3−333−3−32-1-12-1-1-2-21111-2-2111122-1-1-1-1000033−3−3−3−333000033−3−3−3−33300000000
χ212222-2-1-20000-11111-1-133−3−333−3−32222-2-20000-1-11111-1-133−3−333−3−3-12-1-12-111-2-21111-2-211-1-122-1-1−3−333000033−3−3−3−333000033−3−300000000
χ222222-2-1-20000-11111-1-133−3−333−3−32222-2-20000-1-11111-1-133−3−333−3−3-1-12-1-121111-2-21111-2-2-1-1-1-12233−3−3−3−333000033−3−3−3−333000000000000
χ232222-2-1-20000-11111-1-1−3−333−3−3332222-2-20000-1-11111-1-1−3−333−3−3332-1-12-1-1-2-21111-2-2111122-1-1-1-10000−3−33333−3−30000−3−33333−3−300000000
χ242222-2-1-20000-11111-1-1−3−333−3−3332222-2-20000-1-11111-1-1−3−333−3−333-12-1-12-111-2-21111-2-211-1-122-1-133−3−30000−3−33333−3−30000−3−33300000000
χ252222-2-1-20000-11111-1-1−3−333−3−3332222-2-20000-1-11111-1-1−3−333−3−333-1-12-1-121111-2-21111-2-2-1-1-1-122−3−33333−3−30000−3−33333−3−3000000000000
χ2622-2-222-20000222-2-2-2-20000000022-2-22-200002222-2-2-2-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ2722-2-222-20000222-2-2-2-20000000022-2-22-200002222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000
χ2822-2-222-20000222-2-2-2-20000000022-2-22-200002222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000
χ2922-2-22-1-20000-1-1-11111−i3−i3i3i3i3i3−i3−i322-2-22-20000-1-1-1-11111−i3−i3i3i3i3i3−i3−i32-1-12-1-122-1-1-1-1-2-21111-2-211110000−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i300000000
χ3022-2-22-1-20000-1-1-11111−i3−i3i3i3i3i3−i3−i322-2-22-20000-1-1-1-11111−i3−i3i3i3i3i3−i3−i3-12-1-12-1-1-122-1-111-2-21111-2-211i3i3−i3−i30000−i3−i3i3i3−i3−i3i3i30000i3i3−i3−i300000000
χ3122-2-22-1-20000-1-1-11111−i3−i3i3i3i3i3−i3−i322-2-22-20000-1-1-1-11111−i3−i3i3i3i3i3−i3−i3-1-12-1-12-1-1-1-1221111-2-21111-2-2−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3000000000000
χ3222-2-22-1-20000-1-1-11111i3i3−i3−i3−i3−i3i3i322-2-22-20000-1-1-1-11111i3i3−i3−i3−i3−i3i3i32-1-12-1-122-1-1-1-1-2-21111-2-211110000i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i300000000
χ3322-2-22-1-20000-1-1-11111i3i3−i3−i3−i3−i3i3i322-2-22-20000-1-1-1-11111i3i3−i3−i3−i3−i3i3i3-12-1-12-1-1-122-1-111-2-21111-2-211−i3−i3i3i30000i3i3−i3−i3i3i3−i3−i30000−i3−i3i3i300000000
χ3422-2-22-1-20000-1-1-11111i3i3−i3−i3−i3−i3i3i322-2-22-20000-1-1-1-11111i3i3−i3−i3−i3−i3i3i3-1-12-1-12-1-1-1-1221111-2-21111-2-2i3i3−i3−i3−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3000000000000
χ3522-2-2-2222i2i−2i−2i2-2-222-2-22i2i2i2i−2i−2i−2i−2i22-2-2-222i2i−2i−2i22-2-222-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1111111-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii00000000
χ3622-2-2-222−2i−2i2i2i2-2-222-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-22−2i−2i2i2i22-2-222-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1111111-1-1-1-1-1-1111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i00000000
χ3722-2-2-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii22-2-2-222i2i−2i−2i-1-111-1-111−i−i−i−iiiii2-1-12-1-1-2-2111122-1-1-1-1-2-211112i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiii00000000
χ3822-2-2-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii22-2-2-222i2i−2i−2i-1-111-1-111−i−i−i−iiiii-12-1-12-111-2-211-1-122-1-111-2-211−i−i−i−i2i2i2i2i−i−i−i−iiiii−2i−2i−2i−2iiiii00000000
χ3922-2-2-2-122i2i−2i−2i-111-1-111−i−i−i−iiiii22-2-2-222i2i−2i−2i-1-111-1-111−i−i−i−iiiii-1-12-1-121111-2-2-1-1-1-1221111-2-2−i−i−i−i−i−i−i−i2i2i2i2iiiiiiiii−2i−2i−2i−2i00000000
χ4022-2-2-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i22-2-2-22−2i−2i2i2i-1-111-1-111iiii−i−i−i−i2-1-12-1-1-2-2111122-1-1-1-1-2-21111−2i−2i−2i−2iiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i00000000
χ4122-2-2-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i22-2-2-22−2i−2i2i2i-1-111-1-111iiii−i−i−i−i-12-1-12-111-2-211-1-122-1-111-2-211iiii−2i−2i−2i−2iiiii−i−i−i−i2i2i2i2i−i−i−i−i00000000
χ4222-2-2-2-12−2i−2i2i2i-111-1-111iiii−i−i−i−i22-2-2-22−2i−2i2i2i-1-111-1-111iiii−i−i−i−i-1-12-1-121111-2-2-1-1-1-1221111-2-2iiiiiiii−2i−2i−2i−2i−i−i−i−i−i−i−i−i2i2i2i2i00000000
χ432-22i−2i0201+i−1−i1−i−1+i-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i222-2-2-20000000000002i−2i2i−2i2i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000
χ442-22i−2i0201+i−1−i1−i−1+i-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i-1-1-1111−i3i3−i3i3−i3i33−33−33−3−ii−ii−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000
χ452-22i−2i0201+i−1−i1−i−1+i-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-22i−2i001+i−1−i1−i−1+i2-200002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i-1-1-1111i3−i3i3−i3i3−i3−33−33−33−ii−ii−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000
χ462-22i−2i020−1−i1+i−1+i1−i-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i222-2-2-20000000000002i−2i2i−2i2i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000
χ472-22i−2i020−1−i1+i−1+i1−i-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i-1-1-1111−i3i3−i3i3−i3i33−33−33−3−ii−ii−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000000
χ482-22i−2i020−1−i1+i−1+i1−i-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-22i−2i00−1−i1+i−1+i1−i2-200002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i-1-1-1111i3−i3i3−i3i3−i3−33−33−33−ii−ii−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000000
χ492-22i−2i0-101+i−1−i1−i−1+i1−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ72-22i−2i001+i−1−i1−i−1+i-11−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ72-1-1-21100−i3i3i3−i3003−3−332i−2i−ii−ii1+i−1−i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71−i−1+i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000000
χ502-22i−2i0-101+i−1−i1−i−1+i1−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ72-22i−2i001+i−1−i1−i−1+i-11−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7-12-11-21i3−i300−i3i3−33003−3−ii2i−2i−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71+i−1−i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111−i−1+i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000
χ512-22i−2i0-101+i−1−i1−i−1+i1−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ72-22i−2i001+i−1−i1−i−1+i-11−i3i33−3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7-1-1211-2−i3i3i3−i3003−3−3300−ii−ii2i−2i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71+i−1−i1+i−1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111−i−1+i1−i−1+i00000000
χ522-22i−2i0-101+i−1−i1−i−1+i1i3−i3−33−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ112-22i−2i001+i−1−i1−i−1+i-11i3−i3−33−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ112-1-1-21100i3−i3−i3i300−333−32i−2i−ii−ii1+i−1−i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.