Finite Group Databasebeta

← Group #13178131

Character table — Group #13178131

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159
size111122222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181836363636363636363636363636363636363636363636363672727272
order122233344446666666661212121212121212333334666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222444444244444446612121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-1-1-111111111-1-1-1-1-1-111
χ8111111111-1-11111111111111-1-1-1-111111-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-11111-1-111-1-111-1-111-1-1-111-1
χ101111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-111-1-1111-1-11
χ111111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-1-11111-1-111-1-11-1-11
χ121111111-1-111111111111-1-1-1-1111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-111-1-111-1-111-111-1
χ131111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-111-1-111-111-1-1-1-11111-1-1-1-111-11-11
χ141111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-11-1-1111-1-1-1-111-1-11111-1-11-11-1
χ151111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-11-1-11-11-11-1-11111-1-111-1-1-1-1111-11-1
χ161111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111-1-1111-11-1-1-11111-1-1-1-11111-1-1-11-11
χ17222222-122222222-1-1-122222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000202000220000000000000000-1-1-1-1
χ18222222-122222222-1-1-122222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-20-2000-2-200000000000000001111
χ19222222-122-2-22222-1-1-1222222-2-2-2-22-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-111-2-211-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-211111111111111110000000020-20002-20000000000000000-1-111
χ20222222-122-2-22222-1-1-1222222-2-2-2-22-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-122-1-111-2-211-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-2111111111111111100000000-202000-22000000000000000011-1-1
χ21222222-1-2-2222222-1-1-122-2-2-2-222222-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-1-1-2-21122-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000202000-2-20000000000000000-111-1
χ22222222-1-2-2222222-1-1-122-2-2-2-222222-1-1-1-1-2222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-1-1-2-21122-2-2-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111100000000-20-20002200000000000000001-1-11
χ23222222-1-2-2-2-22222-1-1-122-2-2-2-2-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111122-1-1-2-222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000020-2000-220000000000000000-11-11
χ24222222-1-2-2-2-22222-1-1-122-2-2-2-2-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111122-1-1-2-222-2-2-2-21111111111111111-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2020002-200000000000000001-11-1
χ2522222-1222222-1-1-1222222222-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000002020000-1-1-1-1-1-1-1-1000000000000
χ2622222-1222222-1-1-1222222222-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000-20-2000011111111000000000000
χ2722222-1222-2-22-1-1-12222222221111-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-211-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111222200000-20-20000-1-1-1-11111000000000000
χ2822222-1222-2-22-1-1-12222222221111-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-1-1-122-2-211-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111111111-2-2-2-2111111111111-2-2-2-20000020200001111-1-1-1-1000000000000
χ2922222-12-2-2222-1-1-122222-2-2-2-2-1-1-1-1-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-111-2-22211-2-222-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111122-2-200000-2020000-1-111-1-111000000000000
χ3022222-12-2-2222-1-1-122222-2-2-2-2-1-1-1-1-12-1-1-1-2-1-1-1222-1-1-1-1-1-1-1-1-111-2-22211-2-222-2-21111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2220000020-2000011-1-111-1-1000000000000
χ3122222-12-2-2-2-22-1-1-122222-2-2-2-21111-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-111-2-2-2-2-1-122-2-2221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-20000020-20000-1-11111-1-1000000000000
χ3222222-12-2-2-2-22-1-1-122222-2-2-2-21111-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-111-2-2-2-2-1-122-2-2221111-2-2-2-21111111111111111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-22200000-202000011-1-1-1-111000000000000
χ332222-1222222-1222222-1-1-1-1-1-12222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000220000000000-1-1-1-1-1-1-1-10000
χ342222-1222222-1222222-1-1-1-1-1-12222-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000000000111111110000
χ352222-12222-2-2-1222222-1-1-1-1-1-1-2-2-2-2-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-211111111000022-2-200002-20000000000-1-1-1-111110000
χ362222-12222-2-2-1222222-1-1-1-1-1-1-2-2-2-2-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111-2-2-2-2111111110000-2-2220000-2200000000001111-1-1-1-10000
χ372222-122-2-222-1222222-1-111112222-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-11111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000022220000-2-20000000000-1-111-1-1110000
χ382222-122-2-222-1222222-1-111112222-1-12-1-1-2-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-11111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000-2-2-2-2000022000000000011-1-111-1-10000
χ392222-122-2-2-2-2-1222222-1-11111-2-2-2-2-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2222211-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022-2-20000-220000000000-1-11111-1-10000
χ402222-122-2-2-2-2-1222222-1-11111-2-2-2-2-1-12-1-12-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2222211-1-111111111-2-2-2-21111111111111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-22200002-2000000000011-1-1-1-1110000
χ412-22-2222002i−2i-22-2-22-2-22-200002i2i−2i−2i2222202-2-22-2-22-2-222-2-2-2-200002i−2i00002i−2i00000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000002-22i−2i00000000000000002-2002i−2i000000
χ422-22-2222002i−2i-22-2-22-2-22-200002i2i−2i−2i2222202-2-22-2-22-2-222-2-2-2-200002i−2i00002i−2i00000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000-22−2i2i0000000000000000-2200−2i2i000000
χ432-22-222200−2i2i-22-2-22-2-22-20000−2i−2i2i2i2222202-2-22-2-22-2-222-2-2-2-20000−2i2i0000−2i2i0000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-2−2i2i00000000000000002-200−2i2i000000
χ442-22-222200−2i2i-22-2-22-2-22-20000−2i−2i2i2i2222202-2-22-2-22-2-222-2-2-2-20000−2i2i0000−2i2i0000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000-222i−2i0000000000000000-22002i−2i000000
χ452-22-2-122002i−2i12-2-22-2-2-1133−3−32i2i−2i−2i-1-12-1-10-111-1112-2-2-1-1111100002i−2i0000−ii−i3i333−3−333−3−300003333−3−3−3−3−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300002-22i−2i0000000000000000-113−3−ii−i3i30000
χ462-22-2-122002i−2i12-2-22-2-2-1133−3−32i2i−2i−2i-1-12-1-10-111-1112-2-2-1-1111100002i−2i0000−ii−i3i333−3−333−3−300003333−3−3−3−3−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000-22−2i2i00000000000000001-1−33i−ii3−i30000
χ472-22-2-122002i−2i12-2-22-2-2-11−3−3332i2i−2i−2i-1-12-1-10-111-1112-2-2-1-1111100002i−2i0000−iii3−i3−3−333−3−3330000−3−3−3−33333−i−iii−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300002-22i−2i0000000000000000-11−33−iii3−i30000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.