Finite Group Databasebeta

← Group #13178133

Character table — Group #13178133

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222444433366666666612121212121212121212121233333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444444444446612121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-11-1-111-1-11111-1-111-1-1-1-111-1-111
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-111-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-111-1-1-11-11-1111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-111-111-11-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1111-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-11111-1-11-11-1-11-1-11111-1-1-1-11111-1-111-1-1-1-111
χ172222222222-122-1-1-1222222222222-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000220000-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122-1-1-1222222222222-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111111110000000000000000
χ192222222222-122-1-1-1222222222222-1-1-1-12-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111222200000000-2-20000-1-1-1-111110000000000000000
χ202222222222-122-1-1-1222222222222-1-1-1-12-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111-2-2-2-2000000002200001111-1-1-1-10000000000000000
χ21222222222-122-122222-1-12222-1-1-1-12222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022220000220000000000000000-1-1-1-1-1-1-1-1
χ22222222222-122-122222-1-12222-1-1-1-12222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000000011111111
χ23222222222-122-122222-1-12222-1-1-1-12222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-21111111111110000000022220000-2-20000000000000000-1-1-1-11111
χ24222222222-122-122222-1-12222-1-1-1-12222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-2-211-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000000-2-2-2-200002200000000000000001111-1-1-1-1
χ2522222222-122-12222-1-122-1-1-1-122222222-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002222000000220000000000-1-1-1-1-1-1-1-100000000
χ2622222222-122-12222-1-122-1-1-1-122222222-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000001111111100000000
χ2722222222-122-12222-1-122-1-1-1-122222222-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211-2-211-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-21111111100002222000000-2-20000000000-1-1-1-1111100000000
χ2822222222-122-12222-1-122-1-1-1-122222222-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211-2-211-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000-2-2-2-20000002200000000001111-1-1-1-100000000
χ292222-2-2-2-222-122-1-1-12222-2-2-2-2-2-2-2-211112-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1112222-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-2000000002-20000-1-111-1-1110000000000000000
χ302222-2-2-2-222-122-1-1-12222-2-2-2-2-2-2-2-211112-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1112222-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-22200000000-22000011-1-111-1-10000000000000000
χ312222-2-2-2-222-122-1-1-12222-2-2-2-2-2-2-2-211112-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-111-1-1-2-2-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-220000-1-11111-1-10000000000000000
χ322222-2-2-2-222-122-1-1-12222-2-2-2-2-2-2-2-211112-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-111-1-1-2-2-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-2000011-1-1-1-1110000000000000000
χ332222-2-2-2-22-122-122222-1-1-2-2-2-21111-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-122-2-222-1-1-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111110000000022-2-200002-20000000000000000-1-111-1-111
χ342222-2-2-2-22-122-122222-1-1-2-2-2-21111-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-122-2-222-1-1-2-2111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000-2-2220000-22000000000000000011-1-111-1-1
χ352222-2-2-2-22-122-122222-1-1-2-2-2-21111-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-222-2-21122-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022-2-20000-220000000000000000-1-11111-1-1
χ362222-2-2-2-22-122-122222-1-1-2-2-2-21111-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-222-2-21122-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-22200002-2000000000000000011-1-1-1-111
χ372222-2-2-2-2-122-12222-1-1221111-2-2-2-2-2-2-2-2-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-122-2-2-1-12211-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000022-2-20000002-20000000000-1-111-1-11100000000
χ382222-2-2-2-2-122-12222-1-1221111-2-2-2-2-2-2-2-2-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-122-2-2-1-12211-2-211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000-2-222000000-22000000000011-1-111-1-100000000
χ392222-2-2-2-2-122-12222-1-1221111-2-2-2-2-2-2-2-2-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-22211-2-2-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-2000000-220000000000-1-11111-1-100000000
χ402222-2-2-2-2-122-12222-1-1221111-2-2-2-2-2-2-2-2-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-1-2-22211-2-2-1-12211111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2220000002-2000000000011-1-1-1-11100000000
χ4122-2-222-2-2222222-2-2-2-2-2-222-2-222-2-222-2-222222002-2-22-2-22-2-222-2-2-2-200000000000022-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002-22-2000000000000002-22-200000000000000000000
χ4222-2-222-2-2222222-2-2-2-2-2-222-2-222-2-222-2-222222002-2-22-2-22-2-222-2-2-2-200000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000-22-2200000000000000-22-2200000000000000000000
χ4322-2-222-2-222-122-111-2-2-2-222-2-222-2-2-1-1112-1-1-1-1002-2-2-111-111-1-111113−33−30000000022-2-2-1-111-1-111-1-1-1-11111000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−32-22-200000000000000-11-113−33−30000000000000000
χ4422-2-222-2-222-122-111-2-2-2-222-2-222-2-2-1-1112-1-1-1-1002-2-2-111-111-1-111113−33−30000000022-2-2-1-111-1-111-1-1-1-11111000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−3-22-22000000000000001-11-1−33−330000000000000000
χ4522-2-222-2-222-122-111-2-2-2-222-2-222-2-2-1-1112-1-1-1-1002-2-2-111-111-1-11111−33−330000000022-2-2-1-111-1-111-1-1-1-111110000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−333332-22-200000000000000-11-11−33−330000000000000000
χ4622-2-222-2-222-122-111-2-2-2-222-2-222-2-2-1-1112-1-1-1-1002-2-2-111-111-1-11111−33−330000000022-2-2-1-111-1-111-1-1-1-111110000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−33333-22-22000000000000001-11-13−33−30000000000000000
χ4722-2-2-2-222222222-2-2-2-2-2-2-2-222-2-222-2-22222222002-2-22-2-22-2-222-2-2-2-2000000000000-2-222-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000002-2-22000000000000002-2-2200000000000000000000
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χ1664-4-44−4i4i4i−4i-2-2-22222-22-22-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i321−3i32−1−3i32−1+3i320000−232300−2i32i300−iii−i−iii−i−iii−iζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113−33−33−33−3−3i3i3i−3i−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ11i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000
χ1674-4-44−4i4i4i−4i-2-2-22222-22-22-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i32000023−23002i3−2i300−iii−i−iii−i−iii−i−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−33−33−33−33−3i3i3i−3i−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1684-4-44−4i4i4i−4i-2-2-22222-22-22-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i321+3i32−1+3i32−1−3i320000−232300−2i32i300−iii−i−iii−i−iii−i−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ112ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113−33−33−33−33i−3i−3i3i2ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.