Finite Group Databasebeta

← Group #13156805

Character table — Group #13156805

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order12222222333666666666666666666666333666666666666666666666444444441212121212121212121212121212121236666666226666666666666666121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ911-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−ii−i
χ1011-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii−ii
χ1111-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-11111-1-1-1-11111-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii−ii
χ1211-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−ii−i
χ1311-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i−ii
χ1411-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iiii−i
χ1511-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-11111-1-1-1-11111-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−i-11−ii-1-111−i−iiii−i
χ1611-111-1-1-111111-1-11111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-1-1111-1-1-1-11-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-12222222-122-1-1-1-122-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000002200-1-1-1-1000000
χ182222222222-12222222-122-1-1-1-122-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222200002222222200000000-1-1-1-1-1-1-1-1-2-2-2-211-2-21111111111-1-1-1-10000-1-1-1-1-1-1-1-100000000000000000000-2-2001111000000
χ192222222222-12222222-122-1-1-1-122-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1111100001111111100000000000000000000-2-2001111000000
χ202222222222-12222222-122-1-1-1-122-122-122-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-2-2-211-2-211111111111111000011111111000000000000000000002200-1-1-1-1000000
χ21222222222-122222-1-1-12-1-12222222-122-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-10000-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ22222222222-122222-1-1-12-1-12222222-122-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-2-211-2-211-2-2111111110000-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ23222222222-122222-1-1-12-1-12222222-122-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-100001111000000001111111100000000000000-2-20000111100
χ24222222222-122222-1-1-12-1-12222222-122-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-211-2-211-2-21111111100001111000000001111111100000000000000220000-1-1-1-100
χ2522222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ2622222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000000000
χ2722222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ2822222222-122-1-1-1-12222222222-1-122-122-1-12-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-100000000000000
χ29222-2-2-2-222222-22-22-2-222-222-2-2-22-22-2-2-22222-2-22-22-2-222-2-22-2-222-2-2-222i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-20000000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ30222-2-2-2-222222-22-22-2-222-222-2-2-22-22-2-2-22222-2-22-22-2-222-2-22-2-222-2-2-22−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-2000000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ31222-2-2-2-2222-12-22-22-2-2-12-2-1-111-2212-21-22-1-12-2-2-112-2-2-1-111-111-1-111122i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-1-111-1-1110000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3−ii−ii0000−i−iii−i−iii0000000000000000000000003−33−3000000
χ32222-2-2-2-2222-12-22-22-2-2-12-2-1-111-2212-21-22-1-12-2-2-112-2-2-1-111-111-1-111122i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-1-111-1-1110000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3−ii−ii0000−i−iii−i−iii000000000000000000000000−33−33000000
χ33222-2-2-2-2222-12-22-22-2-2-12-2-1-111-2212-21-22-1-12-2-2-112-2-2-1-111-111-1-11112−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-1-111-1-1110000−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3i−ii−i0000ii−i−iii−i−i000000000000000000000000−33−33000000
χ34222-2-2-2-2222-12-22-22-2-2-12-2-1-111-2212-21-22-1-12-2-2-112-2-2-1-111-111-1-11112−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-1-111-1-1110000i3−i300i3−i3i3i3−i3−i3i3i3−i3−i3i−ii−i0000ii−i−iii−i−i0000000000000000000000003−33−3000000
χ35222-2-2-2-22-122-11-112-2-222-222-2-21-1-221-2-2-1-12-111-11-111-1-1112-2-222-2-21-12i−2i2i−2i0000−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3-1-111-1-1110000000000000000002i−2i2i−2i0000−i−iii−i−iii−i3−i3i3i3−i3−i3i3i3000033−3−333−3−300000000000000
χ36222-2-2-2-22-122-11-112-2-222-222-2-21-1-221-2-2-1-12-111-11-111-1-1112-2-222-2-21-12i−2i2i−2i0000−i−iii−i−iiii3i3−i3−i3i3i3−i3−i3-1-111-1-1110000000000000000002i−2i2i−2i0000−i−iii−i−iiii3i3−i3−i3i3i3−i3−i30000−3−333−3−33300000000000000
χ37222-2-2-2-22-122-11-112-2-222-222-2-21-1-221-2-2-1-12-111-11-111-1-1112-2-222-2-21-1−2i2i−2i2i0000ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i3-1-111-1-111000000000000000000−2i2i−2i2i0000ii−i−iii−i−i−i3−i3i3i3−i3−i3i3i30000−3−333−3−33300000000000000
χ38222-2-2-2-22-122-11-112-2-222-222-2-21-1-221-2-2-1-12-111-11-111-1-1112-2-222-2-21-1−2i2i−2i2i0000ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3-1-111-1-111000000000000000000−2i2i−2i2i0000ii−i−iii−i−ii3i3−i3−i3i3i3−i3−i3000033−3−333−3−300000000000000
χ3922-222-2-2-222-122-2-2222-1-2-211112-2-1-2-2-1-22-1-1222-1-1-2-2-21111-1-1-11111-1-222-2-200002222-2-2-2-200000000-1-1-1-111112-222-1-1-2-211-1-1-1-11111-1-1110000-1-1-1-11111000000000000000000002-200-1-111000000
χ4022-222-2-2-222-122-2-2222-1-2-211112-2-1-2-2-1-22-1-1222-1-1-2-2-21111-1-1-11111-1-222-2-200002222-2-2-2-200000000-1-1-1-11111-22-2-21122-1-11111-1-1-1-1-1-1110000-1-1-1-1111100000000000000000000-220011-1-1000000
χ4122-222-2-2-222-122-2-2222-1-2-211112-2-1-2-2-1-22-1-1222-1-1-2-2-21111-1-1-11111-1-2-2-2220000-2-2-2-2222200000000-1-1-1-111112-222-1-1-2-211-1-1-1-1111111-1-100001111-1-1-1-100000000000000000000-220011-1-1000000
χ4222-222-2-2-222-122-2-2222-1-2-211112-2-1-2-2-1-22-1-1222-1-1-2-2-21111-1-1-11111-1-2-2-2220000-2-2-2-2222200000000-1-1-1-11111-22-2-21122-1-11111-1-1-1-111-1-100001111-1-1-1-1000000000000000000002-200-1-111000000
χ4322-222-2-2-22-1222-2-2-1-1-1211-2-2-2-22-221-221-12-1-1-1-122111-2-2-2-2-1-1-111112100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-111112-2-1-12211-2-2-1-1-1-111110000−i−iii00000000−i−i−i−iiiii000000000000002i−2i0000−i−iii00
χ4422-222-2-2-22-1222-2-2-1-1-1211-2-2-2-22-221-221-12-1-1-1-122111-2-2-2-2-1-1-111112100002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-11111-2211-2-2-1-1221111-1-1-1-10000−i−iii00000000−i−i−i−iiiii00000000000000−2i2i0000ii−i−i00
χ4522-222-2-2-22-1222-2-2-1-1-1211-2-2-2-22-221-221-12-1-1-1-122111-2-2-2-2-1-1-11111210000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-111112-2-1-12211-2-2-1-1-1-111110000ii−i−i00000000iiii−i−i−i−i00000000000000−2i2i0000ii−i−i00
χ4622-222-2-2-22-1222-2-2-1-1-1211-2-2-2-22-221-221-12-1-1-1-122111-2-2-2-2-1-1-11111210000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-2211-2-2-1-1221111-1-1-1-10000ii−i−i00000000iiii−i−i−i−i000000000000002i−2i0000−i−iii00
χ4722-222-2-2-2-122-1-1112222-2-2-2-2-2-2-112-212-2-1-12-1-1-1-1-11111111222-2-2-2-2-1122-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii-1-1-1-1111100000000000000000022-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i−i−i−i−iiiii00000000000000
χ4822-222-2-2-2-122-1-1112222-2-2-2-2-2-2-112-212-2-1-12-1-1-1-1-11111111222-2-2-2-2-1122-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i-1-1-1-1111100000000000000000022-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4922-222-2-2-2-122-1-1112222-2-2-2-2-2-2-112-212-2-1-12-1-1-1-1-11111111222-2-2-2-2-11-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111000000000000000000-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii−2i−2i2i2iiiii−i−i−i−i00000000000000
χ5022-222-2-2-2-122-1-1112222-2-2-2-2-2-2-112-212-2-1-12-1-1-1-1-11111111222-2-2-2-2-11-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111000000000000000000-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i2i2i−2i−2i−i−i−i−iiiii00000000000000
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χ1254-444-44-4-4-2-2422-2-22-22-4-224-44-4-22422-4-21-2-2-11-12211-1-22-222-22-22-22-2-1000000000000000023−2323−2323−2323−231-11-11-11-10000000000000000000000000000000000−33−33−33−3300000000000000000000000000
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χ15188-888-8-8-8-4-4-4-4-444-4-4-4-4444444-44-444-4422222222-2-2-2-2-2-2-2222-2-2-2-22-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-888-8-4-4-4-444-4-444-44-444-4-44444-44-42222-2-22-2-222-2-2222-2-2-2-222-2-2000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-888-88-8-8-4-4-444-4-44-444-44-44-44-44-4444-4222-22-2-2-222-22-22-2-22-22-22-22-2000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-88-88-8-4-4-44-4-4444-44-4-4-444-44444-4-44222-2-22-222-222-2-22-2-222-2-22-2-2000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-8-888-4-4-444444-4444-44-44-4-4-4-4-4-444222-22-2-2-2-2-22-22-22-22-2-22-2222000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-8-888-88-4-4-44-44-444-44444-4-444-44-44-4-4222-2-22-22-22-2-222-2-2-22-222-2-22000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000

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