Finite Group Databasebeta

← Group #13159292

Character table — Group #13159292

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order12223333344666666666666666333366666666666612121212121212121212444441212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212888841212121212121212242424248888412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-222-2-200000000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000
χ1122222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ1222222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ1322222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10000-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-1111111111111111100000000000000002222000000000-1-1-1-10000-2110
χ1422222222-122-12222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-10000-2-2-2-2-2-2-2-2-211-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2-2-2000000000111100002-1-10
χ1522222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222222222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ1622222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222222-2-2-2111111-2-222-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2111111000000000000
χ1722222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000-2-2-2111111000000000000
χ1822222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2111111-2-222-1-1-1-1-1-1-2-2-2-2111111111111-2-2111111-2-21111110000222-1-1-1-1-1-1000000000000
χ1922222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-222-2-2000−i3−i3−i3i3i3i300-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322-1-1-1-1-1-1-2-21111110000000−i3−i3−i3i3i3i3000000000000
χ2022222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-222-2-2000i3i3i3−i3−i3−i300-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-1-1-1-1-1-1-2-21111110000000i3i3i3−i3−i3−i3000000000000
χ2122222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2-2-222000−i3−i3−i3i3i3i300-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-211111122-1-1-1-1-1-10000000i3i3i3−i3−i3−i3000000000000
χ2222222-1-1-12-2-222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2-2-222000i3i3i3−i3−i3−i300-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211111122-1-1-1-1-1-10000000−i3−i3−i3i3i3i3000000000000
χ232222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-12222222-1-12-1-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002-1-12-1-12-1-1000000000000
χ242222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1222222-211-211-211-2-2-1-122-1-1-1-11111-2-21111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000-211-211-211000000000000
χ252222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-2-2-2-22-1-12-1-12-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-111-2-2111111-2-211110000-211-211-211000000000000
χ262222-12-1-12222-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-122-2-2-2-2-211-211-211-2-2-1-122-1-1-1-11111-2-21111-2-2111111-2-2111111-2-2111100002-1-12-1-12-1-1000000000000
χ272222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-222-2-20−i3i30−i3i30−i3i30011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-1-122-1-1-1-111-2-2111100000−i3i30−i3i30−i3i3000000000000
χ282222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-222-2-20i3−i30i3−i30i3−i30011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-1-122-1-1-1-111-2-2111100000i3−i30i3−i30i3−i3000000000000
χ292222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2-2-2220−i3i30−i3i30−i3i30011-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i311-2-21111-1-122-1-1-1-100000i3−i30i3−i30i3−i3000000000000
χ302222-12-1-12-2-22-12-1-12-12-1-1-12-1-12-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-2-2-2-2220i3−i30i3−i30i3−i30011-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i311-2-21111-1-122-1-1-1-100000−i3i30−i3i30−i3i3000000000000
χ312222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-12222222-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100002-1-1-12-1-1-12000000000000
χ322222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1222222-2111-2111-2-2-2-1-1-1-122-1-1111111-2-2111111-2-2-1-1-1-122-1-1-1-1-1-122-1-10000-2111-2111-2000000000000
χ332222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2-22-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1221111-2-2111111-2-2110000-2111-2111-2000000000000
χ342222-1-12-12222-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-122-2-2-2-2-2111-2111-2-2-2-1-1-1-122-1-1111111-2-2111111-2-21111-2-2111111-2-21100002-1-1-12-1-1-12000000000000
χ352222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-222-2-20−i3i3i30−i3−i3i30001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300-1-1-1-122-1-11111-2-21100000−i3i3i30−i3−i3i30000000000000
χ362222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-222-2-20i3−i3−i30i3i3−i30001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300-1-1-1-122-1-11111-2-21100000i3−i3−i30i3i3−i30000000000000
χ372222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-2-2-2220−i3i3i30−i3−i3i30001111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3001111-2-211-1-1-1-122-1-100000i3−i3−i30i3i3−i30000000000000
χ382222-1-12-12-2-22-1-12-12-1-12-1-1-12-12-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-2-2-2-2220i3−i3−i30i3i3−i30001111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3001111-2-211-1-1-1-122-1-100000−i3i3i30−i3−i3i30000000000000
χ392222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1222222222-1-1-1-12-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200002-1-1-1-12-12-1000000000000
χ402222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122222222-21111-21-21-2-2-1-1-1-1-1-12211111111-2-211-2-211-1-1-1-1-1-122-1-1-1-1-1-1220000-21111-21-21000000000000
χ412222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-2-22-1-1-1-12-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-1111111-2-2111111-2-20000-21111-21-21000000000000
χ422222-1-1-122222-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-2-2-21111-21-21-2-2-1-1-1-1-1-12211111111-2-211-2-211111111-2-2111111-2-200002-1-1-1-12-12-1000000000000
χ432222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-222-2-20−i3i3−i3i30i30−i300111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3-1-1-1-1-1-122111111-2-200000−i3i3−i3i30i30−i3000000000000
χ442222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-222-2-20i3−i3i3−i30−i30i300111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3-1-1-1-1-1-122111111-2-200000i3−i3i3−i30−i30i3000000000000
χ452222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2-2-2220−i3i3−i3i30i30−i300111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i3111111-2-2-1-1-1-1-1-12200000i3−i3i3−i30−i30i3000000000000
χ462222-1-1-122-2-22-1-1-122-1-1-12-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-2-2-2-2220i3−i3i3−i30−i30i300111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i3111111-2-2-1-1-1-1-1-12200000−i3i3−i3i30i30−i3000000000000
χ4722-2-2222222-2-222222-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22-22-22-22-2-220000000000000002-22-22-22-20000000000000000000000000000000022-2-200000000022-2-200000000
χ4822-2-2222222-2-222222-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22-22-22-22-2-220000000000000002-22-22-22-200000000000000000000000000000000-2-222000000000-2-22200000000
χ4922-2-222222-22-222222-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-22-22-22-222-2000000000000000-22-22-22-22000000000000000000000000000000000000000000000000022-2-20000
χ5022-2-222222-22-222222-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-22-22-22-222-2000000000000000-22-22-22-220000000000000000000000000000000000000000000000000-2-2220000
χ5122-2-22222-12-212222-1-2-2-2-2-2-2-2-21-1-1-1-11111-1-1-1-111112-22-22-22-21-100000000000003−3-11-11-11-113−33−33−33−33−33−33−33−3000000000000000022-2-2000000000-1-111000003−30
χ5222-2-22222-12-212222-1-2-2-2-2-2-2-2-21-1-1-1-11111-1-1-1-111112-22-22-22-21-100000000000003−3-11-11-11-113−33−33−33−33−33−33−33−30000000000000000-2-22200000000011-1-100000−330
χ5322-2-22222-12-212222-1-2-2-2-2-2-2-2-21-1-1-1-11111-1-1-1-111112-22-22-22-21-10000000000000−33-11-11-11-11−33−33−33−33−33−33−33−33000000000000000022-2-2000000000-1-11100000−330
χ5422-2-22222-12-212222-1-2-2-2-2-2-2-2-21-1-1-1-11111-1-1-1-111112-22-22-22-21-10000000000000−33-11-11-11-11−33−33−33−33−33−33−33−330000000000000000-2-22200000000011-1-1000003−30
χ552-22-222222002-2-2-2-2-22222-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000002-200000000000000000000000000000000000002-22-22-22-2000000002−22−20000000002−22−22−22−20000
χ562-22-222222002-2-2-2-2-22222-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000002-200000000000000000000000000000000000002-22-22-22-200000000−22−22000000000−22−22−22−220000
χ572-22-222222002-2-2-2-2-22222-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000-220000000000000000000000000000000000000-22-22-22-22000000002−22−20000000002−22−2−22−220000
χ582-22-222222002-2-2-2-2-22222-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000-220000000000000000000000000000000000000-22-22-22-2200000000−22−22000000000−22−222−22−20000
χ592-2-222222200-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222220000000000002-200000000000000000000000000000000000000000002-22-22-22-22−2−220000000002−2−222−2−220000
χ602-2-222222200-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-222220000000000002-200000000000000000000000000000000000000000002-22-22-22-2−222−2000000000−222−2−222−20000
χ612-2-222222200-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222000000000000-220000000000000000000000000000000000000000000-22-22-22-222−2−220000000002−2−22−222−20000
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Here i is the imaginary unit (i² = −1).