Finite Group Databasebeta

← Group #11859290

Character table — Group #11859290

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order12224444336666668888121212121212121236661212121224242424242424242424242424242424224466668888121212122424242424242424444488882222444466666666888812121212121212126666121212122424242424242424242424242424242422446666888812121212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i1111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i
χ101111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii-1-111−i−iii1111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii-1-111−i−iii
χ111111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111−iii−i11-1-1−i−iiiii−i−i-1-111−i−iii1111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111−iii−i11-1-1−i−iiiii−i−i-1-111−i−iii
χ121111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii11-1-1ii−i−i1111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii11-1-1ii−i−i
χ131111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111−ii−ii-1-1-1-1−i−iii−i−iii11-1-1−i−iii1111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111−ii−ii-1-1-1-1−i−iii−i−iii11-1-1−i−iii
χ141111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1−iii−i-1-111−i−iiiii−i−i-1-111ii−i−i1111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1−iii−i-1-111−i−iiiii−i−i-1-111ii−i−i
χ151111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii-1-111ii−i−i1111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii-1-111ii−i−i
χ161111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i11-1-1−i−iii1111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i11-1-1−i−iii
χ17222222222-122-1-12-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-100000000222222222-122-1-12-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-100000000
χ18222222222-122-1-12-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10-20-2001100-2-200110000111100000000222222222-122-1-12-1222222-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10-20-2001100-2-200110000111100000000
χ19222222222-122-1-12-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-21111111111020200-1-100-2-200-1-10000111100000000222222222-122-1-12-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-21111111111020200-1-100-2-200-1-10000111100000000
χ20222222222-122-1-12-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-211111111110-20-20011002200110000-1-1-1-100000000222222222-122-1-12-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-211111111110-20-20011002200110000-1-1-1-100000000
χ2122222222-12-1-122-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-100000000000022222222-12-1-122-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-1000000000000
χ2222222222-12-1-122-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-20-201100-2-2001100111100000000000022222222-12-1-122-122222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-20-201100-2-20011001111000000000000
χ2322222222-12-1-122-12-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-2111111112020-1-100-2-200-1-100111100000000000022222222-12-1-122-12-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-2111111112020-1-100-2-200-1-1001111000000000000
χ2422222222-12-1-122-12-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-211111111-20-20110022001100-1-1-1-100000000000022222222-12-1-122-12-2-2-2-2-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-211111111-20-20110022001100-1-1-1-1000000000000
χ252222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii020-200-1-1002i−2i00110000−i−iii000000002222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii020-200-1-1002i−2i00110000−i−iii00000000
χ262222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0-202001100−2i2i00-1-10000ii−i−i000000002222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii0-202001100−2i2i00-1-10000ii−i−i00000000
χ272222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i020-200-1-100−2i2i00110000ii−i−i000000002222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i020-200-1-100−2i2i00110000ii−i−i00000000
χ282222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i0-2020011002i−2i00-1-10000−i−iii000000002222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i0-2020011002i−2i00-1-10000−i−iii00000000
χ292222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii20-20-1-1002i−2i001100−i−iii0000000000002222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii20-20-1-1002i−2i001100−i−iii000000000000
χ302222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii-20201100−2i2i00-1-100ii−i−i0000000000002222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii-20201100−2i2i00-1-100ii−i−i000000000000
χ312222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i20-20-1-100−2i2i001100ii−i−i0000000000002222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i20-20-1-100−2i2i001100ii−i−i000000000000
χ322222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i-202011002i−2i00-1-100−i−iii0000000000002222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i-202011002i−2i00-1-100−i−iii000000000000
χ3322-2-222-2-222-2-2-2-2222-22-2-2-2-2-222222-2-22-2-2222-22-22-22-222-2-222-2-20000000000000000000000000000000022-2-222-2-222-2-2-2-2222-22-2-2-2-2-222222-2-22-2-2222-22-22-22-222-2-222-2-200000000000000000000000000000000
χ3422-2-222-2-222-2-2-2-222-22-22-2-2-2-222222-2-22-2-222-22-22-22-22-2-222-2-2220000000000000000000000000000000022-2-222-2-222-2-2-2-222-22-22-2-2-2-222222-2-22-2-222-22-22-22-22-2-222-2-22200000000000000000000000000000000
χ3522-2-222-2-22-1-2-2112-12-22-2-2-21122-1-1-111-111-1-12-2-112-2-11-1-111-1-111000000−i3i3000000−i3i30000−i3i3−i3i30000000022-2-222-2-22-1-2-2112-12-22-2-2-21122-1-1-111-111-1-12-2-112-2-11-1-111-1-111000000−i3i3000000−i3i30000−i3i3−i3i300000000
χ3622-2-222-2-22-1-2-2112-12-22-2-2-21122-1-1-111-111-1-12-2-112-2-11-1-111-1-111000000i3−i3000000i3−i30000i3−i3i3−i30000000022-2-222-2-22-1-2-2112-12-22-2-2-21122-1-1-111-111-1-12-2-112-2-11-1-111-1-111000000i3−i3000000i3−i30000i3−i3i3−i300000000
χ3722-2-222-2-22-1-2-2112-1-22-22-2-21122-1-1-111-111-1-1-221-1-221-111-1-111-1-1000000−i3i3000000−i3i30000i3−i3i3−i30000000022-2-222-2-22-1-2-2112-1-22-22-2-21122-1-1-111-111-1-1-221-1-221-111-1-111-1-1000000−i3i3000000−i3i30000i3−i3i3−i300000000
χ3822-2-222-2-22-1-2-2112-1-22-22-2-21122-1-1-111-111-1-1-221-1-221-111-1-111-1-1000000i3−i3000000i3−i30000−i3i3−i3i30000000022-2-222-2-22-1-2-2112-1-22-22-2-21122-1-1-111-111-1-1-221-1-221-111-1-111-1-1000000i3−i3000000i3−i30000−i3i3−i3i300000000
χ3922-2-222-2-2-1211-2-2-122-22-211-2-2-1-122-111-111-1-1-112-2-112-2-1-111-1-1110000−i3i3000000−i3i300−i3i3−i3i300000000000022-2-222-2-2-1211-2-2-122-22-211-2-2-1-122-111-111-1-1-112-2-112-2-1-111-1-1110000−i3i3000000−i3i300−i3i3−i3i3000000000000
χ4022-2-222-2-2-1211-2-2-122-22-211-2-2-1-122-111-111-1-1-112-2-112-2-1-111-1-1110000i3−i3000000i3−i300i3−i3i3−i300000000000022-2-222-2-2-1211-2-2-122-22-211-2-2-1-122-111-111-1-1-112-2-112-2-1-111-1-1110000i3−i3000000i3−i300i3−i3i3−i3000000000000
χ4122-2-222-2-2-1211-2-2-12-22-2211-2-2-1-122-111-111-1-11-1-221-1-2211-1-111-1-10000−i3i3000000−i3i300i3−i3i3−i300000000000022-2-222-2-2-1211-2-2-12-22-2211-2-2-1-122-111-111-1-11-1-221-1-2211-1-111-1-10000−i3i3000000−i3i300i3−i3i3−i3000000000000
χ4222-2-222-2-2-1211-2-2-12-22-2211-2-2-1-122-111-111-1-11-1-221-1-2211-1-111-1-10000i3−i3000000i3−i300−i3i3−i3i300000000000022-2-222-2-2-1211-2-2-12-22-2211-2-2-1-122-111-111-1-11-1-221-1-2211-1-111-1-10000i3−i3000000i3−i300−i3i3−i3i3000000000000
χ4322-2-2-2-22222-2-2-2-2222i−2i−2i2i2222-2-2-2-22-2-2222-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022-2-2-2-22222-2-2-2-2222i−2i−2i2i2222-2-2-2-22-2-2222-2-22i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ4422-2-2-2-22222-2-2-2-222−2i2i2i−2i2222-2-2-2-22-2-2222-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000022-2-2-2-22222-2-2-2-222−2i2i2i−2i2222-2-2-2-22-2-2222-2-2−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ4522-2-2-2-2222-1-2-2112-12i−2i−2i2i22-1-1-2-211-111-1-1-1112i−2i−ii−2i2ii−i−i−iiiii−i−i000000−i3i3000000i3−i300003−3−330000000022-2-2-2-2222-1-2-2112-12i−2i−2i2i22-1-1-2-211-111-1-1-1112i−2i−ii−2i2ii−i−i−iiiii−i−i000000−i3i3000000i3−i300003−3−3300000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.