Finite Group Databasebeta

← Group #13143806

Character table — Group #13143806

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111122222244444444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212727272727272727272727272
order1222336666664412121212448888121212122424242424242424333366666666666612121212121212121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ6111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-11111-1-1
χ92222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ11222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ12222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ1322222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000
χ1422222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000
χ1522222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000
χ1622222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2000000000000
χ17222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000
χ18222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000
χ19222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000
χ20222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000
χ21222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ22222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ23222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ24222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ25222222222222-2-2-2-2-2-22-2000022-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000
χ26222222222222-2-2-2-2-2-22-2000022-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2-1-111-1-111-1-111000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000
χ27222222222222-2-2-2-2-2-22-2000022-2-2000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2-1-111-1-111-1-1110000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000
χ28222222222222-2-2-2-2-2-22-2000022-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-1-11122-2-2-1-111-1-11133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000
χ29222222222222-2-2-2-2-2-22-2000022-2-200000000-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-211111111-1-11122-2-2-1-111-1-111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000
χ30222222222222-2-2-2-2-2-22-2000022-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-21111-1-111-1-11122-2-2-1-11133−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000
χ31222222222222-2-2-2-2-2-22-2000022-2-200000000-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-21111-1-111-1-11122-2-2-1-111−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000
χ32222222222222-2-2-2-2-2-22-2000022-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2-1-111-1-111-1-11122-2-233−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000
χ33222222222222-2-2-2-2-2-22-2000022-2-200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2-1-111-1-111-1-11122-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000
χ34222222222222-2-2-2-2-2-2-220000-2-222000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-220000-2-222000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22211-1-111-1-111-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−333000000000000
χ36222222222222-2-2-2-2-2-2-220000-2-222000000002-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22211-1-111-1-111-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−3000000000000
χ37222222222222-2-2-2-2-2-2-220000-2-22200000000-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-21111111111-1-1-2-22211-1-111-1-133−3−3000033−3−3−3−333−3−3330000−3−33333−3−3000000000000
χ38222222222222-2-2-2-2-2-2-220000-2-22200000000-12-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-21111111111-1-1-2-22211-1-111-1-1−3−3330000−3−33333−3−333−3−3000033−3−3−3−333000000000000
χ39222222222222-2-2-2-2-2-2-220000-2-22200000000-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111-1-111-1-1-2-22211-1-133−3−3−3−333000033−3−3−3−33333−3−30000−3−333000000000000
χ40222222222222-2-2-2-2-2-2-220000-2-22200000000-1-12-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111-1-111-1-1-2-22211-1-1−3−33333−3−30000−3−33333−3−3−3−333000033−3−3000000000000
χ41222222222222-2-2-2-2-2-2-220000-2-22200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-211-1-111-1-111-1-1-2-22233−3−333−3−3−3−3330000−3−333−3−33333−3−30000000000000000
χ42222222222222-2-2-2-2-2-2-220000-2-22200000000-1-1-12-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-211-1-111-1-111-1-1-2-222−3−333−3−33333−3−3000033−3−333−3−3−3−3330000000000000000
χ432-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i22222-2-22-2-22-2-22-2-222-2-222-2-222-2-222-2-2000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000
χ442-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i2-1-1-12-2-2-111-111-11122-2-2-1-111-1-111-1-11100003−33−33−33−33−33−30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i−2i2i−2i−ii−ii−ii−ii−ii−ii000000000000
χ452-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i2-1-1-12-2-2-111-111-11122-2-2-1-111-1-111-1-1110000−33−33−33−33−33−330000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i32i−2i2i−2i−ii−ii−ii−ii−ii−ii000000000000
χ462-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i-12-1-1-1112-2-2-111-111-1-11122-2-2-1-111-1-1113−33−300003−33−3−33−33−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3−ii−ii2i−2i2i−2i−ii−ii−ii−ii000000000000
χ472-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i-12-1-1-1112-2-2-111-111-1-11122-2-2-1-111-1-111−33−330000−33−333−33−3i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3−ii−ii2i−2i2i−2i−ii−ii−ii−ii000000000000
χ482-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i-1-12-1-111-1112-2-2-111-1-111-1-11122-2-2-1-1113−33−3−33−3300003−33−3−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3−ii−ii−ii−ii2i−2i2i−2i−ii−ii000000000000
χ492-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i-1-12-1-111-1112-2-2-111-1-111-1-11122-2-2-1-111−33−333−33−30000−33−33i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3−ii−ii−ii−ii2i−2i2i−2i−ii−ii000000000000
χ502-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i-1-1-12-111-111-1112-2-2-1-111-1-111-1-11122-2-23−33−33−33−3−33−330000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000−ii−ii−ii−ii−ii−ii2i−2i2i−2i000000000000
χ512-22-222-2-222-2-22-222-2-200002i−2i000000002i2i−2i−2i-1-1-12-111-111-1112-2-2-1-111-1-111-1-11122-2-2−33−33−33−333−33−30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000−ii−ii−ii−ii−ii−ii2i−2i2i−2i000000000000
χ522-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i22222-2-22-2-22-2-22-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000
χ532-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i2-1-1-12-2-2-111-111-11122-2-2-1-111-1-111-1-11100003−33−33−33−33−33−30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i2i−2i2ii−ii−ii−ii−ii−ii−i000000000000
χ542-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i2-1-1-12-2-2-111-111-11122-2-2-1-111-1-111-1-1110000−33−33−33−33−33−330000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−2i2i−2i2ii−ii−ii−ii−ii−ii−i000000000000
χ552-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i-12-1-1-1112-2-2-111-111-1-11122-2-2-1-111-1-1113−33−300003−33−3−33−33i3−i3i3−i30000i3−i3i3−i3−i3i3−i3i3i−ii−i−2i2i−2i2ii−ii−ii−ii−i000000000000
χ562-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i-12-1-1-1112-2-2-111-111-1-11122-2-2-1-111-1-111−33−330000−33−333−33−3−i3i3−i3i30000−i3i3−i3i3i3−i3i3−i3i−ii−i−2i2i−2i2ii−ii−ii−ii−i000000000000
χ572-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i-1-12-1-111-1112-2-2-111-1-111-1-11122-2-2-1-1113−33−3−33−3300003−33−3i3−i3i3−i3−i3i3−i3i30000i3−i3i3−i3i−ii−ii−ii−i−2i2i−2i2ii−ii−i000000000000
χ582-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i-1-12-1-111-1112-2-2-111-1-111-1-11122-2-2-1-111−33−333−33−30000−33−33−i3i3−i3i3i3−i3i3−i30000−i3i3−i3i3i−ii−ii−ii−i−2i2i−2i2ii−ii−i000000000000
χ592-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i-1-1-12-111-111-1112-2-2-1-111-1-111-1-11122-2-23−33−33−33−3−33−330000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000i−ii−ii−ii−ii−ii−i−2i2i−2i2i000000000000
χ602-22-222-2-222-2-22-222-2-20000−2i2i00000000−2i−2i2i2i-1-1-12-111-111-1112-2-2-1-111-1-111-1-11122-2-2−33−33−33−333−33−30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000i−ii−ii−ii−ii−ii−i−2i2i−2i2i000000000000
χ612-22-222-2-222-2-2-22-2-222002i−2i0000002i2i−2i−2i000022222-2-22-2-22-2-22-2-2-2-222-2-222-2-222-2-22200000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.