Finite Group Databasebeta

← Group #13156862

Character table — Group #13156862

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444488888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666663666666644444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444444412121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ9111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-11-1i−i11-1-111-1-1iiii−i−i−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1i−i
χ10111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-11-1−ii11-1-111-1-1−i−i−i−iiiii11-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−ii
χ11111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-11i−i11-1-1-1-111iiii−i−i−i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i−i−iii-1-111ii−i−i−i−iii-1-111−ii
χ12111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11-1-11−ii11-1-1-1-111−i−i−i−iiiii11-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iiiii−i−i-1-111−i−iiiii−i−i-1-111i−i
χ13111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1i−i-1-11111-1-1iiii−i−i−i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i-1-111−ii
χ14111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1−ii-1-11111-1-1−i−i−i−iiiii-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiii−i−i−i−iii-1-111ii−i−i−i−iii-1-111i−i
χ15111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11-11i−i-1-111-1-111iiii−i−i−i−i-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1i−i
χ16111-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-11-11−ii-1-111-1-111−i−i−i−iiiii-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1−ii
χ172222222222-12222-1-1222222-1-12-12-12-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-122-1-122-1-10000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1000000
χ182222222222-12222-1-1222222-1-12-12-12-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-10022-2-20000-1-1-1-1-2-211-2-2110000222200000000-1-1-1-1-1-1-1-1111111110000-2-2-2-2000000001111000000
χ192222222222-12222-1-1222222-1-12-12-12-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2220000111122-1-122-1-10000-2-2-2-20000000011111111-1-1-1-1-1-1-1-10000-2-2-2-2000000001111000000
χ202222222222-12222-1-1222222-1-12-12-12-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-100-2-2-2-200001111-2-211-2-2110000-2-2-2-20000000011111111111111110000222200000000-1-1-1-1000000
χ21222222222-1222-1-1222222-1-122-12-12-122-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1220022-1-1-1-10000-1-122-1-12222220000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1222200000000-1-1-1-10000000000
χ22222222222-1222-1-1222222-1-122-12-12-122-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-12200-2-2-1-1-1-1000011-2-211-2-222220000-1-1-1-1-1-1-1-10000000011111111-2-2-2-20000000011110000000000
χ23222222222-1222-1-1222222-1-122-12-12-122-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-2002211110000-1-122-1-122-2-2-2-200001111111100000000-1-1-1-1-1-1-1-1-2-2-2-20000000011110000000000
χ24222222222-1222-1-1222222-1-122-12-12-122-12-1-1-122-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-1-1-1-1-1-1-2-200-2-21111000011-2-211-2-2-2-2-2-20000111111110000000011111111222200000000-1-1-1-10000000000
χ2522222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-12222002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200000000-1-1-1-100
χ2622222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-122-2-2002222-2-2-2-200000000-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000-2-2-2-200000000111100
χ2722222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-22200-2-2-2-22222000000001111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000111100
χ2822222222-122-1-12222-1-1-1-12222222222-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-2-2-2-2-2000000001111111111111111111111110000000000000000222200000000-1-1-1-100
χ29222-2-2-22-222-12222-1-1-2-2-2-2-2-2112-1-21-2122-1-122-1-1-1-1-1-2-2-2-211111112-11-1-1-1-11111002-22i−2i0000-1-1112i2i−i−i−2i−2iii000022-2-200000000-1-1-1-11111−i−i−i−iiiii00002i2i−2i−2i00000000−i−iii000000
χ30222-2-2-22-222-12222-1-1-2-2-2-2-2-2112-1-21-2122-1-122-1-1-1-1-1-2-2-2-211111112-11-1-1-1-11111002-2−2i2i0000-1-111−2i−2iii2i2i−i−i000022-2-200000000-1-1-1-11111iiii−i−i−i−i0000−2i−2i2i2i00000000ii−i−i000000
χ31222-2-2-22-222-12222-1-1-2-2-2-2-2-2112-1-21-2122-1-122-1-1-1-1-1-2-2-2-211111112-11-1-1-1-1111100-222i−2i000011-1-12i2i−i−i−2i−2iii0000-2-222000000001111-1-1-1-1−i−i−i−iiiii0000−2i−2i2i2i00000000ii−i−i000000
χ32222-2-2-22-222-12222-1-1-2-2-2-2-2-2112-1-21-2122-1-122-1-1-1-1-1-2-2-2-211111112-11-1-1-1-1111100-22−2i2i000011-1-1−2i−2iii2i2i−i−i0000-2-222000000001111-1-1-1-1iiii−i−i−i−i00002i2i−2i−2i00000000−i−iii000000
χ33222-2-2-22-22-1222-1-122-2-2-2-211-2-2-121-21-22-12-1-1-122-1-1-11111-2-2-2-2111-121-1-1-1-111112-2002i−2i-1-1110000−i−i2i2iii−2i−2i22-2-20000-1-1-1-1111100000000−i−i−i−iiiii2i2i−2i−2i00000000−i−iii0000000000
χ34222-2-2-22-22-1222-1-122-2-2-2-211-2-2-121-21-22-12-1-1-122-1-1-11111-2-2-2-2111-121-1-1-1-111112-200−2i2i-1-1110000ii−2i−2i−i−i2i2i22-2-20000-1-1-1-1111100000000iiii−i−i−i−i−2i−2i2i2i00000000ii−i−i0000000000
χ35222-2-2-22-22-1222-1-122-2-2-2-211-2-2-121-21-22-12-1-1-122-1-1-11111-2-2-2-2111-121-1-1-1-11111-22002i−2i11-1-10000−i−i2i2iii−2i−2i-2-22200001111-1-1-1-100000000−i−i−i−iiiii−2i−2i2i2i00000000ii−i−i0000000000
χ36222-2-2-22-22-1222-1-122-2-2-2-211-2-2-121-21-22-12-1-1-122-1-1-11111-2-2-2-2111-121-1-1-1-11111-2200−2i2i11-1-10000ii−2i−2i−i−i2i2i-2-22200001111-1-1-1-100000000iiii−i−i−i−i2i2i−2i−2i00000000−i−iii0000000000
χ37222-2-2-22-2-122-1-122221111-2-2-2-222-2-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-2-1-1-1-111112-22-20022-2-222-2-200000000-1-111-1-111-1-1-1-11111-1-1-1-11111000000000000000022-2-200000000-1-11100
χ38222-2-2-22-2-122-1-122221111-2-2-2-222-2-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-2-1-1-1-111112-2-220022-2-2-2-22200000000-1-11111-1-1-1-1-1-111111111-1-1-1-10000000000000000-2-2220000000011-1-100
χ39222-2-2-22-2-122-1-122221111-2-2-2-222-2-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-2-1-1-1-11111-222-200-2-22222-2-20000000011-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000000000-2-2220000000011-1-100
χ40222-2-2-22-2-122-1-122221111-2-2-2-222-2-2-2-2-1-1-12-1-1-1-122211111111-2-2-2-1-1-2-1-1-1-11111-22-2200-2-222-2-2220000000011-1-111-1-11111-1-1-1-11111-1-1-1-1000000000000000022-2-200000000-1-11100
χ4122-222-2-2-22222-22-22-222-2-2222-2-2-2-2-2-22-22222-22-22-2-222-2-222-2-222-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000002-22-2000000002-22-2000000
χ4222-222-2-2-22222-22-22-222-2-2222-2-2-2-2-2-22-22222-22-22-2-222-2-222-2-222-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000-22-2200000000-22-22000000
χ4322-222-2-2-222-12-22-2-1122-2-222-11-21-21-2-1-22-1-12-2-11-11122-2-2-1-111-1-11-211-1-111-1-11100000000003−33−3003−3003−3000000000000000033−3−333−3−333−3−333−3−300002-22-200000000-11-11000000
χ4422-222-2-2-222-12-22-2-1122-2-222-11-21-21-2-1-22-1-12-2-11-11122-2-2-1-111-1-11-211-1-111-1-11100000000003−33−300−3300−33000000000000000033−3−333−3−3−3−333−3−3330000-22-22000000001-11-1000000
χ4522-222-2-2-222-12-22-2-1122-2-222-11-21-21-2-1-22-1-12-2-11-11122-2-2-1-111-1-11-211-1-111-1-1110000000000−33−33003−3003−30000000000000000−3−333−3−33333−3−333−3−30000-22-22000000001-11-1000000
χ4622-222-2-2-222-12-22-2-1122-2-222-11-21-21-2-1-22-1-12-2-11-11122-2-2-1-111-1-11-211-1-111-1-1110000000000−33−3300−3300−330000000000000000−3−333−3−333−3−333−3−33300002-22-200000000-11-11000000
χ4722-2-2-22-222222-22-22-2-2-222-2-2-22-2-2222-2-22222-22-22-2-2-2-222-2-222-2-22-2-2222-2-2-2-22200000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i000000
χ4822-2-2-22-222222-22-22-2-2-222-2-2-22-2-2222-2-22222-22-22-2-2-2-222-2-222-2-22-2-2222-2-2-2-2220000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i000000
χ4922-2-2-22-2222-12-22-2-11-2-222-2-21-1-212-121-22-1-12-2-11-111-2-22211-1-111-1-21-1-1-11111-1-100000000003−3−3300−i3i300i3−i3000000000000000033−3−3−3−333−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i00000000i−i−ii000000
χ5022-2-2-22-2222-12-22-2-11-2-222-2-21-1-212-121-22-1-12-2-11-111-2-22211-1-111-1-21-1-1-11111-1-100000000003−3−3300i3−i300−i3i3000000000000000033−3−3−3−333i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i00000000−iii−i000000
χ5122-2-2-22-2222-12-22-2-11-2-222-2-21-1-212-121-22-1-12-2-11-111-2-22211-1-111-1-21-1-1-11111-1-10000000000−333−300−i3i300i3−i30000000000000000−3−33333−3−3−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i00000000−iii−i000000
χ5222-2-2-22-2222-12-22-2-11-2-222-2-21-1-212-121-22-1-12-2-11-111-2-22211-1-111-1-21-1-1-11111-1-10000000000−333−300i3−i300−i3i30000000000000000−3−33333−3−3i3i3−i3−i3−i3−i3i3i30000−2i2i2i−2i00000000i−i−ii000000
χ532-222-22-2-2222-22-22-222-22-22-222-2-2-2-22-2-2222-22-22-22-22-22-22-22-22-22-2-2-22-22-22-22-20000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000000000
χ542-222-22-2-2222-22-22-222-22-22-222-2-2-2-22-2-2222-22-22-22-22-22-22-22-22-22-2-2-22-22-22-22-2000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000000000
χ552-222-22-2-22-12-221-1-222-22-2-11221-21-2-1-2-2-12-11-1-221-11-11-112-22-2-11-11-21-11-11-11-110000003−33−300003−3003−3000000000033−3−333−3−3000000003−33−33−33−32-22-200000000-11-110000000000
χ562-222-22-2-22-12-221-1-222-22-2-11221-21-2-1-2-2-12-11-1-221-11-11-112-22-2-11-11-21-11-11-11-110000003−33−30000−3300−33000000000033−3−333−3−300000000−33−33−33−33-22-22000000001-11-10000000000
χ572-222-22-2-22-12-221-1-222-22-2-11221-21-2-1-2-2-12-11-1-221-11-11-112-22-2-11-11-21-11-11-11-11000000−33−3300003−3003−30000000000−3−333−3−333000000003−33−33−33−3-22-22000000001-11-10000000000
χ582-222-22-2-22-12-221-1-222-22-2-11221-21-2-1-2-2-12-11-1-221-11-11-112-22-2-11-11-21-11-11-11-11000000−33−330000−3300−330000000000−3−333−3−33300000000−33−33−33−332-22-200000000-11-110000000000
χ592-22-22-2-22222-22-22-22-22-22-22-2-2-2-222-22-2222-22-22-22-2-22-22-22-22-22-2-2-222-22-2-22-220000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000000000
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χ1418-888-88-8-8-4-4-44-44-44-4-44-44-44-4-44444-444222-22-22-22-22-22-22-22-22-22-2-2-2-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-8-88-4-4-44-44-44-44-44-44-44444-4-44-44222-22-22-22-2-22-22-22-22-22-2-2-22-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-8-888-4-4-4444444-444-4-44-44-4-4-4-444-4222-2-2-2-2-2-222-2-222-2-222-2-2222-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8888-8-4-4-44444444-4-444-44-4-4-444-4-4-4222-2-2-2-2-2-22-222-2-222-2-22222-2-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000000000000000

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