Finite Group Databasebeta

← Group #13178142

Character table — Group #13178142

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818183636363636363636363636363636363636367272727272727272
order1222333446666666661212121233333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222444444444444661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ7111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-11111-1-1
χ91111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-11-11-111-1-111-1-11-11-11-11-1
χ101111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-11-1111-1-111-1-1-11-11-11-11
χ111111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-11-1-111-1-1111-11-1-11-11
χ121111111-1-1111111111-1-1-1-1111111-1111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-11-1-1-111-1-111-11-111-11-1
χ131111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-111-1-1111-1-1-1-1111-1-111-1-11
χ141111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11-11-11-1-111-111-1-1-1-111-111-1-111-1
χ151111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-11-11-11-111-1-1-11111-1-11-1-11-111-1
χ161111111-1-1111111111-1-1-1-111111-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1111-11-1-11-1-11111-1-1-111-11-1-11
χ17222222-122222-1-1-1222-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222002000000-1-1-1-1-1-1-1-100000000
χ18222222-122222-1-1-1222-1-1-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-200-20000001111111100000000
χ19222222-122222-1-1-1222-1-1-1-12-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111112222-200-2000000-1-1-1-1111100000000
χ20222222-122222-1-1-1222-1-1-1-12-1-1-1-1-2-2222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-21111111111111111-2-2-2-220020000001111-1-1-1-100000000
χ21222222-1-2-2222-1-1-122211112-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-11122-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-2-2-2002000000-1-111-1-11100000000
χ22222222-1-2-2222-1-1-122211112-1-1-1-12-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-11122-2-2-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-222200-200000011-1-111-1-100000000
χ23222222-1-2-2222-1-1-122211112-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-1-1-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2200-2000000-1-11111-1-100000000
χ24222222-1-2-2222-1-1-122211112-1-1-1-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211-1-1-2-22222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-200200000011-1-1-1-11100000000
χ2522222-122222-1222-1-122222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022022000000000000-1-1-1-10000
χ2622222-122222-1222-1-122222-12-1-1-122-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222222-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-20-2-200000000000011110000
χ2722222-122222-1222-1-122222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000220-2-2000000000000-1-1110000
χ2822222-122222-1222-1-122222-12-1-1-1-2-2-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-21111-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-211111111111100000-2-202200000000000011-1-10000
χ2922222-12-2-222-1222-1-12-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2112222-2-2-1-111-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000002-202-2000000000000-11-110000
χ3022222-12-2-222-1222-1-12-2-2-2-2-12-1-1-12-2-1-1-1222-1-1-1-1-1-1-1-1-1-2-2112222-2-2-1-111-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000-220-220000000000001-11-10000
χ3122222-12-2-222-1222-1-12-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-211-2-2-2-22211-1-1221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000002-20-22000000000000-111-10000
χ3222222-12-2-222-1222-1-12-2-2-2-2-12-1-1-1-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-211-2-2-2-22211-1-1221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2202-20000000000001-1-110000
χ332222-12222-1-1222222-12222-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222000000000000-1-1-1-1
χ342222-12222-1-1222222-12222-1-12-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000001111
χ352222-12222-1-1222222-12222-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-12211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111000000000022-2-2000000000000-1-111
χ362222-12222-1-1222222-12222-1-12-1-1-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-12211-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000000000-2-22200000000000011-1-1
χ372222-122-2-2-1-1222222-1-2-2-2-2-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-111-2-2-1-122-2-222-2-21111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000002-22-2000000000000-11-11
χ382222-122-2-2-1-1222222-1-2-2-2-2-1-12-1-12-2-1-1-1-1-1-1222-1-1-1-1-1-111-2-2-1-122-2-222-2-21111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000000000-22-220000000000001-11-1
χ392222-122-2-2-1-1222222-1-2-2-2-2-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-111-2-211-2-222-2-222-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002-2-22000000000000-111-1
χ402222-122-2-2-1-1222222-1-2-2-2-2-1-12-1-1-22-1-1-1-1-1-1222-1-1-1-1-1-111-2-211-2-222-2-222-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000-222-20000000000001-1-11
χ4122-2-22222-22-222-2-2-2-2-222-2-222222002-2-22-2-22-2-222-2-2-2-22-22-200000000000022-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002-22-200000000002-22-2000000000000
χ4222-2-22222-22-222-2-2-2-2-222-2-222222002-2-22-2-22-2-222-2-2-2-22-22-200000000000022-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000-22-220000000000-22-22000000000000
χ4322-2-2222-222-222-2-2-2-2-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-22-22000000000000-2-222-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000002-2-2200000000002-2-22000000000000
χ4422-2-2222-222-222-2-2-2-2-2-2-22222222002-2-22-2-22-2-222-2-2-2-2-22-22000000000000-2-222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000-222-20000000000-222-2000000000000
χ4522-2-222-12-22-22-111-2-2-2-1-1112-1-1-1-1002-2-2-111-111-1-111112-22-2003−33−300000022-2-2-1-111-1-111-1-1-1-11111000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−32-22-20000000000-11-113−33−300000000
χ4622-2-222-12-22-22-111-2-2-2-1-1112-1-1-1-1002-2-2-111-111-1-111112-22-2003−33−300000022-2-2-1-111-1-111-1-1-1-11111000033−3−333−3−33333−3−3−3−3000033−3−333−3−33333−3−3−3−3-22-2200000000001-11-1−33−3300000000
χ4722-2-222-12-22-22-111-2-2-2-1-1112-1-1-1-1002-2-2-111-111-1-111112-22-200−33−3300000022-2-2-1-111-1-111-1-1-1-111110000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−333332-22-20000000000-11-11−33−3300000000
χ4822-2-222-12-22-22-111-2-2-2-1-1112-1-1-1-1002-2-2-111-111-1-111112-22-200−33−3300000022-2-2-1-111-1-111-1-1-1-111110000−3−333−3−333−3−3−3−333330000−3−333−3−333−3−3−3−33333-22-2200000000001-11-13−33−300000000
χ4922-2-222-1-222-22-111-2-2-211-1-12-1-1-1-1002-2-2-111-111-1-11111-22-22003−3−33000000-2-22211-1-111-1-11111-1-1-1-1000033−3−333−3−33333−3−3−3−30000−3−333−3−333−3−3−3−333332-2-220000000000-111-13−3−3300000000
χ5022-2-222-1-222-22-111-2-2-211-1-12-1-1-1-1002-2-2-111-111-1-11111-22-22003−3−33000000-2-22211-1-111-1-11111-1-1-1-1000033−3−333−3−33333−3−3−3−30000−3−333−3−333−3−3−3−33333-222-200000000001-1-11−333−300000000
χ5122-2-222-1-222-22-111-2-2-211-1-12-1-1-1-1002-2-2-111-111-1-11111-22-2200−333−3000000-2-22211-1-111-1-11111-1-1-1-10000−3−333−3−333−3−3−3−33333000033−3−333−3−33333−3−3−3−32-2-220000000000-111-1−333−300000000
χ5222-2-222-1-222-22-111-2-2-211-1-12-1-1-1-1002-2-2-111-111-1-11111-22-2200−333−3000000-2-22211-1-111-1-11111-1-1-1-10000−3−333−3−333−3−3−3−33333000033−3−333−3−33333−3−3−3−3-222-200000000001-1-113−3−3300000000
χ5344444-2-24444-2-2-2-2-2-24-2-2-2-2-2-211144-2-2-2-2-2-211111111144-2-244-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000
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χ1484-4-44-2-2-20022222-22-2-2−232323−23111−1−3i32−1+3i3200-1-11-1-11-1-111+3i321−3i321+3i32−1−3i321−3i32−1+3i320000000000−2323002i3−2i3−3i3i3i−3i3−3−333−3−33−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−3−33−3i3i3i−3i3−3−33−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−i3i3i3−i3−i3i3i3−i3-333-33+i32−3−i323−i32−3+i32−3−i323+i32−3+i323−i32000000000000000000000000000000
χ1494-4-44-2-2-20022222-22-2-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i32000000000023−23002i3−2i33i−3i−3i3i3−3−333−3−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−333−3−3i3i3i−3i−333−3−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−i3i3i3−i3−i3i3i3−i33-3-33−3+i323−i32−3−i323+i323−i32−3+i323+i32−3−i32000000000000000000000000000000
χ1504-4-44-2-2-20022222-22-2-2−232323−23111−1+3i32−1−3i3200-1-11-1-11-1-111−3i321+3i321−3i32−1+3i321+3i32−1−3i320000000000−232300−2i32i33i−3i−3i3i3−3−333−3−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−3−333i−3i−3i3i3−3−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11i3−i3−i3i3i3−i3−i3i3-333-33−i32−3+i323+i32−3−i32−3+i323−i32−3−i323+i32000000000000000000000000000000

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