Finite Group Databasebeta

← Group #13156837

Character table — Group #13156837

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111122222222222222222222222244444444444444444444444466668888888812121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818183636363636363636363636363636363654545454
order122222223336666666666666666666663336666666666666666666664444366666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-11-11-111-1-111-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1i−ii−i11-1-1ii−i−iii−i−iii−i−i
χ1011-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111i−i−ii-1-111ii−i−i−i−iii−i−iii
χ1111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111−iii−i-1-111−i−iiiii−i−i−i−iii
χ1211-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i1111-1-1-1-1-11-11-1-111-1-111-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−ii−ii11-1-1−i−iii−i−iiiii−i−i
χ1311-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-11-11-111-1-111-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−ii−ii11-1-1−i−iii−i−iii−i−iii
χ1411-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−iii−i-1-111−i−iiiii−i−iii−i−i
χ1511-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111i−i−ii-1-111ii−i−i−i−iiiii−i−i
χ1611-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1−i−iii1111-1-1-1-1-11-11-1-111-1-111-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1i−ii−i11-1-1ii−i−iii−i−i−i−iii
χ172222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1000000000000
χ182222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-122-2-22222-2-2-2-2-1-1-1-111110000000000000000-1-1-1-1-1-1-1-111111111-2-2-2-200001111000000000000
χ192222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-2-222-2-2-2-222221111-1-1-1-1000000000000000011111111-1-1-1-1-1-1-1-1-2-2-2-200001111000000000000
χ202222222222-12222-1222222-1-1-1-122-1-1222-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-1-120000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2111111110000000000000000111111111111111122220000-1-1-1-1000000000000
χ21222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-100220000-1-1-1-10000222222-1-122-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000002200000000-1-1-1-10000
χ22222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-12222-1-1-1-1-1-1-1-100-2-2000011110000-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-10000000011111111000000-2-20000000011110000
χ23222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-100220000-1-1-1-100002222-2-211-2-2111111111100000000-1-1-1-1-1-1-1-1000000-2-20000000011110000
χ24222222222-1222-1-12222-1-1-122222-1222-1-12-1-1-1-122-1-1-1-1-12222-1-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-1-100-2-2000011110000-2-2-2-2-2-211-2-2111111111100000000111111110000002200000000-1-1-1-10000
χ2522222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-12200-1-1-1-1000022220000-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022000000-1-1-1-100000000
χ2622222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-12222-1-1-1-1-1-1-1-1-2-20011110000-2-2-2-20000-1-122-1-122-1-1-1-1-1-1-1-111111111000000000000-2-2000000111100000000
χ2722222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-12200-1-1-1-100002222000011-2-211-2-211111111-1-1-1-1-1-1-1-1000000000000-2-2000000111100000000
χ2822222222-122-1-1222-1-1-12222222-1222-12-1-12-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-2-2-2-2-1-1-1-1-1-1-1-1-2-20011110000-2-2-2-2000011-2-211-2-2111111111111111100000000000022000000-1-1-1-100000000
χ29222-2-2-22-22222-22-222-2-22-2-222-2-2-2-2-2-2222222-2-22-22-22-2-222-2-222-2-2-2-22000022-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ30222-2-2-22-22222-22-222-2-22-2-222-2-2-2-2-2-2222222-2-22-22-22-2-222-2-222-2-2-2-22000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3122-22-2-2-222222-22-22-222-222-2-222-2-2-2-2-2-22222-2-22-22-2-222-2-222-2-222-2-2-2000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000002-2-22
χ3222-22-2-2-222222-22-22-222-222-2-222-2-2-2-2-2-22222-2-22-22-2-222-2-222-2-222-2-2-2000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000-222-2
χ3322-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-111112-22-222-2-222-2-2-1-111-1-1110000000000000000-1-1-1-11111-1-1-1-1111122-2-20000-1-111000000000000
χ3422-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-111112-2-2222-2-2-2-222-1-11111-1-10000000000000000-1-1-1-111111111-1-1-1-1-2-222000011-1-1000000000000
χ3522-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-11111-222-2-2-22222-2-211-1-1-1-11100000000000000001111-1-1-1-1-1-1-1-11111-2-222000011-1-1000000000000
χ3622-2-222-2-222-12222-1-2-2-2-2-2-2111122-1-1-2-22-1-1222-1-1-1-1-2-2-211111111-1-1-20000-1-1-1-11111-22-22-2-222-2-22211-1-111-1-100000000000000001111-1-1-1-11111-1-1-1-122-2-20000-1-111000000000000
χ3722-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i-1-1-1-11111002-20000-1-111000022-2-22i2i−i−i−2i−2iii−i−i−i−iiiii00000000-1-1-1-111110000002i−2i00000000−i−iii0000
χ3822-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-112i2i−2i−2i-1-1-1-1111100-22000011-1-10000-2-2222i2i−i−i−2i−2iii−i−i−i−iiiii000000001111-1-1-1-1000000−2i2i00000000ii−i−i0000
χ3922-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i-1-1-1-11111002-20000-1-111000022-2-2−2i−2iii2i2i−i−iiiii−i−i−i−i00000000-1-1-1-11111000000−2i2i00000000ii−i−i0000
χ4022-2-222-2-22-1222-1-12-2-2-2111-2-2-2-22-122-21-12-1-1-1-122-1-1111-2-2-2-211112-11−2i−2i2i2i-1-1-1-1111100-22000011-1-10000-2-222−2i−2iii2i2i−i−iiiii−i−i−i−i000000001111-1-1-1-10000002i−2i00000000−i−iii0000
χ4122-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-1-1-1-111112-200-1-111000022-2-20000−i−i2i2iii−2i−2i−i−i−i−iiiii-1-1-1-111110000000000002i−2i000000−i−iii00000000
χ4222-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-1212i2i−2i−2i-1-1-1-11111-220011-1-10000-2-2220000−i−i2i2iii−2i−2i−i−i−i−iiiii1111-1-1-1-1000000000000−2i2i000000ii−i−i00000000
χ4322-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-1-1-1-111112-200-1-111000022-2-20000ii−2i−2i−i−i2i2iiiii−i−i−i−i-1-1-1-11111000000000000−2i2i000000ii−i−i00000000
χ4422-2-222-2-2-122-1-1222111-2-2-2-2-2-2-2-12221-2-1-12-1-1-1-1-1221111111-2-2-2-2-121−2i−2i2i2i-1-1-1-11111-220011-1-10000-2-2220000ii−2i−2i−i−i2i2iiiii−i−i−i−i1111-1-1-1-10000000000002i−2i000000−i−iii00000000
χ452-222-22-2-2222-22-22-222-222-22-22-2-2-2-22-2-2222-22-2-22-2222-22-22-22-22-2-2-2-200002-22-22-22-200000000000000000000000000000000000000000000000000002-22-200002-22-2000000000000
χ462-222-22-2-2222-22-22-222-222-22-22-2-2-2-22-2-2222-22-2-22-2222-22-22-22-22-2-2-2-200002-22-22-22-20000000000000000000000000000000000000000000000000000-22-220000-22-22000000000000
χ472-222-22-2-222-1-22-22122-222-2-11-11-2-21-1-2-22-1-1-22-21-11-122-2-11-11-11-1111-20000-11-11-11-110000000000003−33−33−33−3000000000000000033−3−333−3−333−3−333−3−32-22-20000-11-11000000000000
χ482-222-22-2-222-1-22-22122-222-2-11-11-2-21-1-2-22-1-1-22-21-11-122-2-11-11-11-1111-20000-11-11-11-110000000000003−33−3−33−33000000000000000033−3−333−3−3−3−333−3−333-22-2200001-11-1000000000000
χ492-222-22-2-222-1-22-22122-222-2-11-11-2-21-1-2-22-1-1-22-21-11-122-2-11-11-11-1111-20000-11-11-11-11000000000000−33−333−33−30000000000000000−3−333−3−33333−3−333−3−3-22-2200001-11-1000000000000
χ502-222-22-2-222-1-22-22122-222-2-11-11-2-21-1-2-22-1-1-22-21-11-122-2-11-11-11-1111-20000-11-11-11-11000000000000−33−33−33−330000000000000000−3−333−3−333−3−333−3−3332-22-20000-11-11000000000000
χ512-22-22-2-22222-2-2-2-2-22-222-222-2-22222-2-2-2222-2-22-2-2-2-22-222-2-222-2-2222-22i−2i2i−2i2-2-222-2-22000000000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ522-22-22-2-22222-2-2-2-2-22-222-222-2-22222-2-2-2222-2-22-2-2-2-22-222-2-222-2-2222-2−2i2i−2i2i2-2-222-2-2200000000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ532-22-22-2-222-12-2-211-22-22-11-12-2-222-12-2-21-12-111-1-2-211-11-12-2-22-111-12-112i−2i2i−2i-111-1-111-100000000−i3i3−i3i3000000002i−2i−ii2i−2i−ii−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i300000000000000003−33−30000
χ542-22-22-2-222-12-2-211-22-22-11-12-2-222-12-2-21-12-111-1-2-211-11-12-2-22-111-12-112i−2i2i−2i-111-1-111-100000000i3−i3i3−i3000000002i−2i−ii2i−2i−ii−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i30000000000000000−33−330000
χ552-22-22-2-222-12-2-211-22-22-11-12-2-222-12-2-21-12-111-1-2-211-11-12-2-22-111-12-11−2i2i−2i2i-111-1-111-100000000−i3i3−i3i300000000−2i2ii−i−2i2ii−iii−i−iii−i−i00000000−i3i3−i3i3−i3i3−i3i30000000000000000−33−330000
χ562-22-22-2-222-12-2-211-22-22-11-12-2-222-12-2-21-12-111-1-2-211-11-12-2-22-111-12-11−2i2i−2i2i-111-1-111-100000000i3−i3i3−i300000000−2i2ii−i−2i2ii−iii−i−iii−i−i00000000i3−i3i3−i3i3−i3i3−i300000000000000003−33−30000
χ572-22-22-2-22-12211-2-2-2-11-12-222-2-22-122-21-2-1-1211-111-2-2-11-1-111-12-2-22-1212i−2i2i−2i-111-1-111-10000−i3i3−i3i3000000000000−ii2i−2i−ii2i−2i−i−iii−i−iii−i3i3−i3i3−i3i3−i3i3000000000000000000003−33−300000000
χ582-22-22-2-22-12211-2-2-2-11-12-222-2-22-122-21-2-1-1211-111-2-2-11-1-111-12-2-22-1212i−2i2i−2i-111-1-111-10000i3−i3i3−i3000000000000−ii2i−2i−ii2i−2i−i−iii−i−iiii3−i3i3−i3i3−i3i3−i300000000000000000000−33−3300000000
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χ14088-8-888-8-8-4-4-4-4-4-4-4-44444444444-4-4-4-4442222222222-2-2-2-2-2-2-2-2-2-2-222-20000-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-888-88-8-8-4-4-44-44-44-4-44-4-44-44-44444-444222-22-2-22-2222-22-22-22-22-2-2-2-20000-11-11-11-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-88-8-88-4-4-444444-44-4-44-4-444-4-4-4-4444222-2-22-2-2-2-22-222-2-222-2-2222-20000-111-1-111-10000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-88-8-4-4-4444444-444-444-4-44-4-4-44-4-4222-2-22-2-2-2-2-22-2-222-2-222-22220000-111-11-1-110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-8-8888-4-4-44-44-4444-444-44-44-4444-4-4-4222-22-2-22-22-2-22-22-22-22-22-2-220000-11-111-11-10000000000000000000000000000000000000000000000000000000000000000000000000000

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