Finite Group Databasebeta

← Group #13143863

Character table — Group #13143863

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size11111111111122222222222244444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order122233666666224466661212121248888121224242424242424243333666666666666121212121212121212121212121212126666666612121212121212122424242424242424242424242424242424242424242424242424242424242424444412121212121212124412121212
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
χ5111111111111-1-111-1-1-1-11111-111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ6111111111111-1-111-1-1-1-11111-111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ7111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-11-1-111
χ8111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-111-1-1
χ92222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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χ11222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000
χ12222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000
χ132222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000
χ142222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000
χ152222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000
χ162222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2000000000000000000
χ1722222222222222-2-22222-2-2-2-2-20000-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000
χ1822222222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000000000
χ1922222222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-21111110000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000000000
χ2022222222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-211111111-1-122-1-1-1-111-2-2111133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000000000
χ2122222222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-211111111-1-122-1-1-1-111-2-21111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000000000
χ2222222222222222-2-22222-2-2-2-2-20000-2-200000000-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-21111-1-1-1-122-1-11111-2-21133−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000000000
χ2322222222222222-2-22222-2-2-2-2-20000-2-200000000-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-21111-1-1-1-122-1-11111-2-211−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000000000
χ2422222222222222-2-22222-2-2-2-2-20000-2-200000000-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2-1-1-1-1-1-122111111-2-233−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000000000
χ2522222222222222-2-22222-2-2-2-2-20000-2-200000000-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2-1-1-1-1-1-122111111-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000000000
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χ27222222222222-2-222-2-2-2-22222-222-2-2-2-22222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ28222222222222-2-222-2-2-2-22222-222-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000
χ29222222222222-2-222-2-2-2-22222-222-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000000000
χ30222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ31222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-22222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-211111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ32222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-22222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-21111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000
χ33222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000
χ34222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−333000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-211111122-1-1-1-1-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−3000000000000000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-133−3−3000033−3−3−3−333−3−3330000−3−33333−3−3000000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-1−3−3330000−3−33333−3−333−3−3000033−3−3−3−333000000000000000000
χ39222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-211111111-2-211-1-1-1-122-1-133−3−3−3−333000033−3−3−3−33333−3−30000−3−333000000000000000000
χ40222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-12-1-1-1-1-122-1-1-1-12-111111111-2-2-2-211111111-2-211-1-1-1-122-1-1−3−33333−3−30000−3−33333−3−3−3−333000033−3−3000000000000000000
χ41222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111-2-2-1-1-1-1-1-12233−3−333−3−3−3−3330000−3−333−3−33333−3−30000000000000000000000
χ42222222222222-2-2-2-2-2-2-2-2-2-2-2-2200002200000000-1-1-12-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2111111-2-2-1-1-1-1-1-122−3−333−3−33333−3−3000033−3−333−3−3−3−3330000000000000000000000
χ4322-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−222222-22-22-22-2-2-2-2-200000000000000002-22-22-22-2000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2000000000000000000
χ4422-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−22-1-1-12-2-11-11-11-2111000033−3−333−3−333−3−32-2-11-11-11003−33−33−32−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000
χ4522-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−22-1-1-12-2-11-11-11-21110000−3−333−3−333−3−3332-2-11-11-1100−33−33−332−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000
χ4622-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−2-12-1-1-112-2-11-111-21133−3−3000033−3−3−3−333-112-2-11-113−3003−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000
χ4722-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−2-12-1-1-112-2-11-111-211−3−3330000−3−33333−3−3-112-2-11-11−3300−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000
χ4822-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−2-1-12-1-11-112-2-1111-2133−3−3−3−333000033−3−3-11-112-2-113−3−33003−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000000000
χ4922-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−2-1-12-1-11-112-2-1111-21−3−33333−3−30000−3−333-11-112-2-11−333−300−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000000000
χ5022-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−2-1-1-12-11-11-112-2111-233−3−333−3−3−3−3330000-11-11-112-23−33−3−3300ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2000000000000000000
χ5122-2-22222-2-2-2-22-20022-2-2000002−22−20022−2−222−2−2-1-1-12-11-11-112-2111-2−3−333−3−33333−3−30000-11-11-112-2−33−333−300ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2000000000000000000
χ5222-2-22222-2-2-2-22-20022-2-200000−22−2200−2−222−2−22222222-22-22-22-2-2-2-2-200000000000000002-22-22-22-200000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22000000000000000000
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χ13712-1212-12−6+6i3−6−6i36−6i36+6i3−6+6i3−6−6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.