Finite Group Databasebeta

← Group #13144068

Character table — Group #13144068

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size11111111111122222222222244444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order122233666666444412121212121212124888812122424242424242424333366666666666612121212121212121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444412121212121212124412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111-1-1111-1-1-1-111-111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ61111111111111-1-1111-1-1-1-111-111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ71111111111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-11-1-111
χ81111111111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-111-1-1
χ92222222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ10222222222222222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ11222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000
χ12222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000
χ132222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000
χ142222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000
χ152222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000
χ162222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000
χ172222222222222-2-2222-2-2-2-222-222-2-2-2-22222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000
χ182222222222222-2-2222-2-2-2-222-222-2-2-2-22222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ192222222222222-2-2222-2-2-2-222-222-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000
χ202222222222222-2-2222-2-2-2-222-222-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000
χ212222222222222-2-2222-2-2-2-222-2-2-222-2-2-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ222222222222222-2-2222-2-2-2-222-2-2-222-2-2-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ232222222222222-2-2222-2-2-2-222-2-2-222-2-2-2-2-2-22222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000
χ242222222222222-2-2222-2-2-2-222-2-2-222-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000
χ25222222222222-222-2-2-22222-2-2-20000-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000
χ26222222222222-222-2-2-22222-2-2-20000-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-2-2-1-111-1-111-1-111000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000000000
χ27222222222222-222-2-2-22222-2-2-20000-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-2-2-1-111-1-111-1-1110000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000000000
χ28222222222222-222-2-2-22222-2-2-20000-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-11122-2-2-1-111-1-11133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000000000
χ29222222222222-222-2-2-22222-2-2-20000-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-11122-2-2-1-111-1-111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000000000
χ30222222222222-222-2-2-22222-2-2-20000-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-111-1-11122-2-2-1-11133−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000000000
χ31222222222222-222-2-2-22222-2-2-20000-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-111-1-11122-2-2-1-111−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000000000
χ32222222222222-222-2-2-22222-2-2-20000-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-111-1-111-1-11122-2-233−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000000000
χ33222222222222-222-2-2-22222-2-2-20000-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-111-1-111-1-11122-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000000000
χ34222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-22211-1-111-1-111-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−333000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-22211-1-111-1-111-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−3000000000000000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-2111111-1-1-2-22211-1-111-1-133−3−3000033−3−3−3−333−3−3330000−3−33333−3−3000000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-2111111-1-1-2-22211-1-111-1-1−3−3330000−3−33333−3−333−3−3000033−3−3−3−333000000000000000000
χ39222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-21111-1-111-1-1-2-22211-1-133−3−3−3−333000033−3−3−3−33333−3−30000−3−333000000000000000000
χ40222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-21111-1-111-1-1-2-22211-1-1−3−33333−3−30000−3−33333−3−3−3−333000033−3−3000000000000000000
χ41222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-211-1-111-1-111-1-1-2-22233−3−333−3−3−3−3330000−3−333−3−33333−3−30000000000000000000000
χ42222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-211-1-111-1-111-1-1-2-222−3−333−3−33333−3−3000033−3−333−3−3−3−3330000000000000000000000
χ4322-2-22222-2-2-2-2200-2220000-2-200000000000000022222-2-22-2-22-2-22-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002-2000022-2-2000000
χ4422-2-22222-2-2-2-2200-2220000-2-200000000000000022222-2-22-2-22-2-22-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-220000-2-222000000
χ4522-2-22222-2-2-2-2-2002-2-200002200000000000000022222-2-22-2-22-2-22-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000002i−2i002i2i−2i−2i0000000000
χ4622-2-22222-2-2-2-2-2002-2-200002200000000000000022222-2-22-2-22-2-22-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000−2i2i00−2i−2i2i2i0000000000
χ472-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22222-22-2-22-2-22-2-22-200000000000000002-2002-2002-2002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000
χ482-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-1-1-1-22-21-111-111-11003−33−33−3003−33−33−32-200-113−3-113−3-113−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000
χ492-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i22-1-1-1-22-21-111-111-1100−33−33−3300−33−33−332-200-11−33-11−33-11−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000
χ502-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-12-1-11-11-22-21-111-113−3003−3−333−3003−3−33-113−32-200-113−3-11−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000
χ512-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-12-1-11-11-22-21-111-11−3300−333−3−3300−333−3-11−332-200-11−33-113−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000
χ522-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-1-12-11-111-11-22-21-113−3−33003−33−3−33003−3-113−3-11−332-200-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000
χ532-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-1-12-11-111-11-22-21-11−333−300−33−333−300−33-11−33-113−32-200-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000
χ542-2-2222-2-2-2-22202-200022-2-2000−i2i2−i2i200−i2−i2i2i2−i2−i2i2i2-1-1-121-111-111-11-22-23−33−3−33003−33−3−3300-113−3-113−3-11−332-200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.