Finite Group Databasebeta

← Group #13178136

Character table — Group #13178136

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181836363636363636363636363636363636363636363636363672727272
order12223334444666666666121212121212121233333466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444444444444666612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-11-1-11-111-1-111-1-111-1-111-1-11-11-1
χ101111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111-11-1111-1-111-1-1-1-111-1-111-11-11
χ111111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-11-1-111-1-11111-1-111-1-1-11-11
χ121111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ131111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-111-1-11-1-1111-1-1-1-11111-1-1-1-1111-1-11
χ141111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-11-1111-111-1-1-1-111-1-11111-1-1-111-1
χ151111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-11-111-1-11-1-1-11111-1-111-1-1-1-111-111-1
χ161111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-11-11-11-11-1-11111-1-1-1-11111-1-11-1-11
χ17222222-1222222-1-12222-12222-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000022000-1-1-1-1-1-1-1-1000000000000
χ18222222-1222222-1-12222-12222-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000-2-200011111111000000000000
χ19222222-122-2-222-1-12222-1222211112-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111122220000000-2-2000-1-1-1-11111000000000000
χ20222222-122-2-222-1-12222-1222211112-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111-2-2-2-20000000220001111-1-1-1-1000000000000
χ21222222-1-2-22222-1-12222-1-2-2-2-2-1-1-1-12-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-200000002-2000-1-111-1-111000000000000
χ22222222-1-2-22222-1-12222-1-2-2-2-2-1-1-1-12-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2220000000-2200011-1-111-1-1000000000000
χ23222222-1-2-2-2-222-1-12222-1-2-2-2-211112-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-1-1-2-2-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-20000000-22000-1-11111-1-1000000000000
χ24222222-1-2-2-2-222-1-12222-1-2-2-2-211112-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-1-1-2-2-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22200000002-200011-1-1-1-111000000000000
χ2522222-1222222-12222-1-1222222222-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000022000220000000000000000-1-1-1-1
χ2622222-1222222-12222-1-1222222222-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2000-2-200000000000000001111
χ2722222-1222-2-22-12222-1-122222-2-2-2-2-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000022000-2-20000000000000000-1-111
χ2822222-1222-2-22-12222-1-122222-2-2-2-2-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111000000000-2-200022000000000000000011-1-1
χ2922222-12-2-2222-12222-1-12-2-2-2-22222-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-111-2-2-2-222-1-1-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000000002-20002-20000000000000000-11-11
χ3022222-12-2-2222-12222-1-12-2-2-2-22222-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-111-2-2-2-222-1-1-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000000-22000-2200000000000000001-11-1
χ3122222-12-2-2-2-22-12222-1-12-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-111-2-222-2-21122-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002-2000-220000000000000000-111-1
χ3222222-12-2-2-2-22-12222-1-12-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-111-2-222-2-21122-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-220002-200000000000000001-1-11
χ332222-1222222-1222-1-1222-1-1-1-12222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022222000020000000000-1-1-1-1-1-1-1-10000
χ342222-1222222-1222-1-1222-1-1-1-12222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-20000-20000000000111111110000
χ352222-12222-2-2-1222-1-1222-1-1-1-1-2-2-2-2-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111000022-2-2-2000020000000000-1-1-1-111110000
χ362222-12222-2-2-1222-1-1222-1-1-1-1-2-2-2-2-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-12222-2-211-2-211-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000-2-22220000-200000000001111-1-1-1-10000
χ372222-122-2-222-1222-1-122211112222-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-1-12211-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100002222-20000-20000000000-1-111-1-1110000
χ382222-122-2-222-1222-1-122211112222-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-1-12211-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000-2-2-2-2200002000000000011-1-111-1-10000
χ392222-122-2-2-2-2-1222-1-12221111-2-2-2-2-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-22211-2-2-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-220000-20000000000-1-11111-1-10000
χ402222-122-2-2-2-2-1222-1-12221111-2-2-2-2-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-22211-2-2-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-222-200002000000000011-1-1-1-1110000
χ4122-2-22222-200222-2-2-2-2-2-222-2-200002222202-2-22-2-22-2-222-2-2-2-22-22-2000000000022-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002-22-20000000000002-22-20000000000000000
χ4222-2-22222-200222-2-2-2-2-2-222-2-200002222202-2-22-2-22-2-222-2-2-2-22-22-2000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000-22-22000000000000-22-220000000000000000
χ4322-2-2222-2200222-2-2-2-2-2-2-2-22200002222202-2-22-2-22-2-222-2-2-2-2-22-220000000000-2-222-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000002-2-220000000000002-2-220000000000000000
χ4422-2-2222-2200222-2-2-2-2-2-2-2-22200002222202-2-22-2-22-2-222-2-2-2-2-22-220000000000-2-222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000-222-2000000000000-222-20000000000000000
χ4522-2-222-12-20022-11-2-2-2-2122-2-233−3−32-1-1-1-102-2-2-111-111-1-111112-2-113−30000000022-2-2-1-111-1-111-1-1-1-11111000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−32-22-2000000000000-11-113−33−3000000000000
χ4622-2-222-12-20022-11-2-2-2-2122-2-233−3−32-1-1-1-102-2-2-111-111-1-111112-2-113−30000000022-2-2-1-111-1-111-1-1-1-11111000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−3-22-220000000000001-11-1−33−33000000000000
χ4722-2-222-12-20022-11-2-2-2-2122-2-2−3−3332-1-1-1-102-2-2-111-111-1-111112-2-11−330000000022-2-2-1-111-1-111-1-1-1-111110000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−333332-22-2000000000000-11-11−33−33000000000000
χ4822-2-222-12-20022-11-2-2-2-2122-2-2−3−3332-1-1-1-102-2-2-111-111-1-111112-2-11−330000000022-2-2-1-111-1-111-1-1-1-111110000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−33333-22-220000000000001-11-13−33−3000000000000
χ4922-2-222-1-220022-11-2-2-2-21-2-22233−3−32-1-1-1-102-2-2-111-111-1-11111-221-1−3300000000-2-22211-1-111-1-11111-1-1-1-1000033−3−333−3−33333−3−3−3−30000−3−333−3−333−3−3−3−333332-2-22000000000000-111-13−3−33000000000000
χ5022-2-222-1-220022-11-2-2-2-21-2-22233−3−32-1-1-1-102-2-2-111-111-1-11111-221-1−3300000000-2-22211-1-111-1-11111-1-1-1-1000033−3−333−3−33333−3−3−3−30000−3−333−3−333−3−3−3−33333-222-20000000000001-1-11−333−3000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.