Finite Group Databasebeta

← Group #11866695

Character table — Group #11866695

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222222222222222222224444444444444444444444666666666666666666666666242424242424727211112222222222222222222222222244444444444444444444446666666666666666666666662424242424247272
order12223344666666888812121212242424242424242436661212121212122424242424242424242424242244666688881212121224242424242424244412121212242222664466666688881212121224242424242424246666121212121212242424242424242424242424224466668888121212122424242424242424441212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-11
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-11
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1111-1
χ9222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-200000000000022-2-222220000-2-2-2-20000000000000000222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-200000000000022-2-222220000-2-2-2-20000000000000000
χ10222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-2000000000000-2-222-2-2-2-2000022220000000000000000222222-2-22222220000-2-2-2-2000000002222-2-2-2-2-2-2000000000000-2-222-2-2-2-2000022220000000000000000
χ1122222-122-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222-122-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222-122-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000022222-122-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111111100000000
χ1322222-122-1-12-122-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222-122-1-12-122-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ1422222-122-1-12-122-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000022222-122-1-12-122-2-2-2-2-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2111122221111-1-1-1-1-1-1-1-100000000
χ1522222-1-2-2-1-12-122000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-2-1-1-1-1000011113333−3−3−3−30000000022222-1-2-2-1-12-122000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-2-1-1-1-1000011113333−3−3−3−300000000
χ1622222-1-2-2-1-12-122000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22211110000-1-1-1-1−3−3−3−333330000000022222-1-2-2-1-12-122000011113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22211110000-1-1-1-1−3−3−3−3333300000000
χ1722222-1-2-2-1-12-12200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-2-1-1-1-100001111−3−3−3−333330000000022222-1-2-2-1-12-12200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-2-1-1-1-100001111−3−3−3−3333300000000
χ1822222-1-2-2-1-12-12200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22211110000-1-1-1-13333−3−3−3−30000000022222-1-2-2-1-12-12200001111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22211110000-1-1-1-13333−3−3−3−300000000
χ192222-122222-12-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-1002222-122222-12-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-100
χ202222-122222-12-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-21111002222-122222-12-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2111100
χ212222-122222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-111002222-122222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002-2-1-11100
χ222222-122222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-1002222-122222-12-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2211-1-100
χ2322-2-222002-2-2-22-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i000022−2−22i2i−2i−2i22−2−222−2−20000000022-2-222002-2-2-22-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i000022−2−22i2i−2i−2i22−2−222−2−200000000
χ2422-2-222002-2-2-22-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i0000−2−222−2i−2i2i2i−2−222−2−2220000000022-2-222002-2-2-22-2−i2−i2i2i20000−i2−i2i2i2−i2−i2i2i222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i0000−2−222−2i−2i2i2i−2−222−2−22200000000
χ2522-2-222002-2-2-22-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i0000−2−2222i2i−2i−2i−2−222−2−2220000000022-2-222002-2-2-22-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i0000−2−2222i2i−2i−2i−2−222−2−22200000000
χ2622-2-222002-2-2-22-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i000022−2−2−2i−2i2i2i22−2−222−2−20000000022-2-222002-2-2-22-2i2i2−i2−i20000i2i2−i2−i2i2i2−i2−i222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i000022−2−2−2i−2i2i2i22−2−222−2−200000000
χ2722-2-22-100-11-212-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11103−303−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002i−2i−i3−i3i3i322−2−2−i−iiiζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000022-2-22-100-11-212-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11103−303−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002i−2i−i3−i3i3i322−2−2−i−iiiζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ2822-2-22-100-11-212-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11103−303−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−2i2ii3i3−i3−i3−2−222ii−i−i−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000022-2-22-100-11-212-2−i2−i2i2i23−33−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-11103−303−3−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−2i2ii3i3−i3−i3−2−222ii−i−i−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ2922-2-22-100-11-212-2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110−330−33−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002i−2ii3i3−i3−i322−2−2−i−iiiζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000022-2-22-100-11-212-2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110−330−33−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002i−2ii3i3−i3−i322−2−2−i−iiiζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ3022-2-22-100-11-212-2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110−330−33−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−2i2i−i3−i3i3i3−2−222ii−i−i−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000022-2-22-100-11-212-2−i2−i2i2i2−33−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-1110−330−33−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−2i2i−i3−i3i3i3−2−222ii−i−i−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
χ3122-2-22-100-11-212-2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11103−303−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002i−2i−i3−i3i3i3−2−222−i−iii−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000022-2-22-100-11-212-2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11103−303−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002i−2i−i3−i3i3i3−2−222−i−iii−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ3222-2-22-100-11-212-2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11103−303−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−2i2ii3i3−i3−i322−2−2ii−i−iζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000022-2-22-100-11-212-2i2i2−i2−i23−33−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-11103−303−3i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−2i2ii3i3−i3−i322−2−2ii−i−iζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ3322-2-22-100-11-212-2i2i2−i2−i2−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-1110−330−33i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002i−2ii3i3−i3−i3−2−222−i−iii−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000022-2-22-100-11-212-2i2i2−i2−i2−33−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-1110−330−33i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002i−2ii3i3−i3−i3−2−222−i−iii−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.