Finite Group Databasebeta

← Group #13159302

Character table — Group #13159302

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222222222224444444444444444444444444488888888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636727272108108216
order12223333344666666666666666333366666666666612121212121212121212412121212121212121212121212121212121212121212121212121212121212121212441212121212121212121212121212121241212121212121212882424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000002-222222222-2-2-2-2-2-2-2-2000000000000000000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000-22-2-2-2-2-2-2-2-222222222000000000000000000000
χ1122222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-12-1-1000
χ1222222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-21111-211000
χ1322222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000022-1-1-1-1-211000
χ1422222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000-2-211112-1-1000
χ1522222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1000000000000
χ1622222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2-2111111000000000000
χ1722222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111111000000000000
χ1822222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111-2-2111111222-1-1-1-1-1-1000000000000
χ1922222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i32-222-1-1-1-1-1-1-2-2111111000−i3−i3−i3i3i3i3000000000000
χ2022222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-200000−i3−i3−i3i3i3i3-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-22-2-211111122-1-1-1-1-1-1000i3i3i3−i3−i3−i3000000000000
χ2122222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i32-222-1-1-1-1-1-1-2-2111111000i3i3i3−i3−i3−i3000000000000
χ2222222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-200000i3i3i3−i3−i3−i3-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-22-2-211111122-1-1-1-1-1-1000−i3−i3−i3i3i3i3000000000000
χ232222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-12-1-12-1-12-1-1000000000000
χ242222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122222-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111-211-211-211000000000000
χ252222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-2111122-1-122-1-1-1-1-1-122-1-1-1-1-211-211-211000000000000
χ262222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-2-2-211-211-211-1-122-1-1-1-11111-2-21111-2-21111-2-211-2-2111111-2-211112-1-12-1-12-1-1000000000000
χ272222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i32-2-1-122-1-1-1-111-2-211110−i3i30−i3i30−i3i3000000000000
χ282222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2000−i3i30−i3i30−i3i311-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-2211-2-21111-1-122-1-1-1-10i3−i30i3−i30i3−i3000000000000
χ292222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i32-2-1-122-1-1-1-111-2-211110i3−i30i3−i30i3−i3000000000000
χ302222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2000i3−i30i3−i30i3−i311-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-2211-2-21111-1-122-1-1-1-10−i3i30−i3i30−i3i3000000000000
χ312222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-122-1-12-1-1-12-1-1-12000000000000
χ322222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122222-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-2-2111111-2-211-2111-2111-2000000000000
χ332222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-222-1-1-1-122-1-1-1-1-1-122-1-1-2111-2111-2000000000000
χ342222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2111-2111-2-1-1-1-122-1-1111111-2-2111111-2-2-2-21111-2-2111111-2-2112-1-1-12-1-1-12000000000000
χ352222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-2000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3002-2-1-1-1-122-1-11111-2-2110−i3i3i30−i3−i3i30000000000000
χ362222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-2000−i3i3i30−i3−i3i301111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-221111-2-211-1-1-1-122-1-10i3−i3−i30i3i3−i30000000000000
χ372222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-2000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3002-2-1-1-1-122-1-11111-2-2110i3−i3−i30i3i3−i30000000000000
χ382222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-2000i3−i3−i30i3i3−i301111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-221111-2-211-1-1-1-122-1-10−i3i3i30−i3−i3i30000000000000
χ392222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-12-1000000000000
χ402222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222222-1-1-1-12-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-2-2111111-2-2111111-2-2-21111-21-21000000000000
χ412222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-21111-21-21-1-1-1-1-1-12211111111-2-211-2-21122-1-1-1-1-1-122-1-1-1-1-1-122-21111-21-21000000000000
χ422222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-21111-21-21-1-1-1-1-1-12211111111-2-211-2-211-2-2111111-2-2111111-2-22-1-1-1-12-12-1000000000000
χ432222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i32-2-1-1-1-1-1-122111111-2-20−i3i3−i3i30i30−i3000000000000
χ442222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2000−i3i3−i3i30i30−i3111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-22111111-2-2-1-1-1-1-1-1220i3−i3i3−i30−i30i3000000000000
χ452222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i32-2-1-1-1-1-1-122111111-2-20i3−i3i3−i30−i30i3000000000000
χ462222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2000i3−i3i3−i30−i30i3111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-22111111-2-2-1-1-1-1-1-1220−i3i3−i3i30i30−i3000000000000
χ472-2-22222222-2-22222-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-22-22-22-22-2-22000000000002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i0
χ482-2-22222222-2-22222-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-22-22-22-22-2-22000000000002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i0
χ492-2-2222222-22-22222-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-22-22-22-222-200000000000-22-22-22-2200000000000000000000000000000000000000000002i−2i2i2i−2i−2i000000
χ502-2-2222222-22-22222-2-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-22-22-22-222-200000000000-22-22-22-220000000000000000000000000000000000000000000−2i2i−2i−2i2i2i000000
χ512-2-222222-1-22122221-2-2-2-2-2-2-2-2-1-1-1-1-11111-1-1-1-11111-22-22-22-22-1103−3000000001-11-11-11-13−33−33−33−33−33−33−33−30000000000000000000000000002i−2i−i−iii0−i3i3000
χ522-2-222222-1-22122221-2-2-2-2-2-2-2-2-1-1-1-1-11111-1-1-1-11111-22-22-22-22-1103−3000000001-11-11-11-13−33−33−33−33−33−33−33−3000000000000000000000000000−2i2iii−i−i0i3−i3000
χ532-2-222222-1-22122221-2-2-2-2-2-2-2-2-1-1-1-1-11111-1-1-1-11111-22-22-22-22-110−33000000001-11-11-11-1−33−33−33−33−33−33−33−330000000000000000000000000002i−2i−i−iii0i3−i3000
χ542-2-222222-1-22122221-2-2-2-2-2-2-2-2-1-1-1-1-11111-1-1-1-11111-22-22-22-22-110−33000000001-11-11-11-1−33−33−33−33−33−33−33−33000000000000000000000000000−2i2iii−i−i0−i3i3000
χ5544444444-2-4-4-24444-244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4-4-4-4-42200000000000222222220000000000000000000000000000000000000000000000000000000
χ5644444-2-2-2-244-24-2-2-2-24-2-2-24-2-2-2-2-2111-2111-2111-211144-2-2-2-2-2-2-2-24-2-244-2-2-2-2-2-2-2-2111111-2-2-2-2111111111111000000000000000000000000000000000000000
χ5744444-2-2-2-244-24-2-2-2-24-2-2-24-2-2-2-2-2111-2111-2111-211144-2-2-2-2-2-2-2-2-422-4-4222222-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ5844444-2-2-2-2-4-4-24-2-2-2-24-2-2-24-2-2-2-2-2111-2111-2111-2111-4-42222222200000−2i3−2i3−2i32i32i32i322-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000000000
χ5944444-2-2-2-2-4-4-24-2-2-2-24-2-2-24-2-2-2-2-2111-2111-2111-2111-4-422222222000002i32i32i3−2i3−2i3−2i322-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000000000000000000000000000000
χ604444-24-2-2-244-2-24-2-2-2-24-2-2-24-2-2-21-2111-2111-2111-211-2-244-2-2-2-2-2-24-2-2-2-24-2-24-2-211-2-211111111-2-21111-2-21111000000000000000000000000000000000000000
χ614444-24-2-2-244-2-24-2-2-2-24-2-2-24-2-2-21-2111-2111-2111-211-2-244-2-2-2-2-2-2-42222-422-42211-2-21111-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000000000000000000000000
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χ634444-24-2-2-2-4-4-2-24-2-2-2-24-2-2-24-2-2-21-2111-2111-2111-21122-4-42222220002i3−2i302i3−2i302i3−2i3-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000000000000
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χ684444-2-2-24-244-2-2-2-24-2-2-2-24-2-2-24-2111-2111-2111-2111-2-2-2-2-2-2-244-2-24-2-2-2-2-2-24-24-2111111-2-211111111-2-211-2-211000000000000000000000000000000000000000
χ694444-2-2-24-244-2-2-2-24-2-2-2-24-2-2-24-2111-2111-2111-2111-2-2-2-2-2-2-244-2-2-4222222-42-42111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1000000000000000000000000000000000000000
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χ1114-4-44-2-24-2-2-442-2-24-2222-4222-42-211-21-1-12-111-21-1-12-12-22-2-442-2-22023−2300000000-11-112-2-11−33−33−3323−23−33−33−3323−23000000000000000000000000000000000000000
χ1124-4-44-2-24-2-2-442-2-24-2222-4222-42-211-21-1-12-111-21-1-12-12-22-2-442-2-220−232300000000-11-112-2-113−33−33−3−23233−33−33−3−2323000000000000000000000000000000000000000
χ1134-4-44-2-2-2444-4-4-2-2-24-4222-4222-44-2-2-24222-4-2-2-24222-4-22-22-224-4-4400000000000-22-22-224-40000000000000000000000000000000000000000000000000000000
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χ1174-4-44-2-2-24-2-442-2-2-242222-4222-4-2111-2-1-1-12111-2-1-1-122-22-22-2-44-22023−2300000000-11-11-112-2−33−33−33−3323−23−3323−23−33000000000000000000000000000000000000000
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χ11988-8-88-4-4-4-4004-8444-48-4-4-4-84444-42224-2-2-24-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12288-8-8-4-4-48-4004444-8-4-4-4-48444-84222-4-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-88-8-4-4-48-400-4444-84444-8-4-4-484222-4222-4-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).