Finite Group Databasebeta

← Group #72248898

Character table — Group #72248898

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444448888888888888888888812121212121212121212121212121212121212121616161616161616161616161616161616161616161616161616161616161616242424242424242424242424242448484848
order122222222234444444466666666612121212121212122222224444444444888822222222222244444444446666668812121212121212121212121212122424242424242424444444444488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ9111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ12111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111111111-1-1-1-111-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111
χ1711-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-11-11-1ii−i−iii−i−iii−i−i1111-1-1-1-111-1-1iiii−i−i−i−ii−i11-1-11-11-1ii−i−i1-1ii−i−iii−i−i11-1-1ii−i−i1-1ii−i−iii−i−i11-1-11-1i−i
χ1811-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-11-11-1ii−i−iii−i−iii−i−i-1-1-1-11111-1-111−i−i−i−iiiiii−i11-1-11-11-1ii−i−i1-1ii−i−iii−i−i11-1-1ii−i−i-11−i−iii−i−iii-1-111-11−ii
χ1911-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-11-11-1−i−iii−i−iii−i−iii1111-1-1-1-111-1-1−i−i−i−iiiii−ii11-1-11-11-1−i−iii1-1−i−iii−i−iii11-1-1−i−iii1-1−i−iii−i−iii11-1-11-1−ii
χ2011-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-11-11-1−i−iii−i−iii−i−iii-1-1-1-11111-1-111iiii−i−i−i−i−ii11-1-11-11-1−i−iii1-1−i−iii−i−iii11-1-1−i−iii-11ii−i−iii−i−i-1-111-11i−i
χ2111-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-1-11-11ii−i−iii−i−i−i−iii1111-1-1-1-111-1-1iiii−i−i−i−i−ii11-1-1-11-11ii−i−i-11ii−i−i−i−iii-1-111−i−iii1-1−i−iiiii−i−i-1-111-11−ii
χ2211-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-1-11-11ii−i−iii−i−i−i−iii-1-1-1-11111-1-111−i−i−i−iiiii−ii11-1-1-11-11ii−i−i-11ii−i−i−i−iii-1-111−i−iii-11ii−i−i−i−iii11-1-11-1i−i
χ2311-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-1-11-11−i−iii−i−iiiii−i−i1111-1-1-1-111-1-1−i−i−i−iiiiii−i11-1-1-11-11−i−iii-11−i−iiiii−i−i-1-111ii−i−i1-1ii−i−i−i−iii-1-111-11i−i
χ2411-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-111-1-1-11-11−i−iii−i−iiiii−i−i-1-1-1-11111-1-111iiii−i−i−i−ii−i11-1-1-11-11−i−iii-11−i−iiiii−i−i-1-111ii−i−i-11−i−iiiii−i−i11-1-11-1−ii
χ2511-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-1111-11-1ii−i−i−i−iiiii−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−ii-1-1111-1-11ii−i−i1-1−i−iii−i−iii-1-111ii−i−i-11ii−i−i−i−iii11-1-1-11−ii
χ2611-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-1111-11-1ii−i−i−i−iiiii−i−i-1-1-1-1111111-1-1−i−i−i−iiiii−ii-1-1111-1-11ii−i−i1-1−i−iii−i−iii-1-111ii−i−i1-1−i−iiiii−i−i-1-1111-1i−i
χ2711-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-1111-11-1−i−iiiii−i−i−i−iii1111-1-1-1-1-1-111−i−i−i−iiiiii−i-1-1111-1-11−i−iii1-1ii−i−iii−i−i-1-111−i−iii-11−i−iiiii−i−i11-1-1-11i−i
χ2811-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-1111-11-1−i−iiiii−i−i−i−iii-1-1-1-1111111-1-1iiii−i−i−i−ii−i-1-1111-1-11−i−iii1-1ii−i−iii−i−i-1-111−i−iii1-1ii−i−i−i−iii-1-1111-1−ii
χ2911-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-111-11-11ii−i−i−i−iii−i−iii1111-1-1-1-1-1-111iiii−i−i−i−ii−i-1-111-111-1ii−i−i-11−i−iiiii−i−i11-1-1−i−iii-11−i−iii−i−iii-1-1111-1i−i
χ3011-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-111-11-11ii−i−i−i−iii−i−iii-1-1-1-1111111-1-1−i−i−i−iiiiii−i-1-111-111-1ii−i−i-11−i−iiiii−i−i11-1-1−i−iii1-1ii−i−iii−i−i11-1-1-11−ii
χ3111-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-111-11-11−i−iiiii−i−iii−i−i1111-1-1-1-1-1-111−i−i−i−iiiii−ii-1-111-111-1−i−iii-11ii−i−i−i−iii11-1-1ii−i−i-11ii−i−iii−i−i-1-1111-1−ii
χ3211-1-111-1-11-1111-1-11-11-1-1-11111-1-1-1111-1-1-11-1-1-111-11-11−i−iiiii−i−iii−i−i-1-1-1-1111111-1-1iiii−i−i−i−i−ii-1-111-111-1−i−iii-11ii−i−i−i−iii11-1-1ii−i−i1-1−i−iii−i−iii11-1-1-11i−i
χ3322222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002-22-2000000000000222222-2-222-2-200000000000000002-22-2000000000000-2-20000000000000000
χ3422222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002-22-2000000000000-2-2-2-2-2-222-2-22200000000000000002-22-2000000000000220000000000000000
χ3522222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000-22-220000000000002222-2-222-2-2220000000000000000-22-22000000000000-2-20000000000000000
χ3622222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000-22-22000000000000-2-2-2-222-2-222-2-20000000000000000-22-22000000000000220000000000000000
χ372222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222220000000000000000000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ382222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-1-1-1-1-1-1221111-1-111111111-1-1-1-11111000000000000000000
χ392222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222222222-2-2-2-200000000000000000000-2-2-1-1-1-111-2-2-1-1-1-111-1-1-1-1111111111111000000000000000000
χ402222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000022-1-1-1-111-2-21111111111-1-1-1-11111-1-1-1-1000000000000000000
χ412222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2222200000000000000000000-2-21111-1-1-2-2-1-1-1-1-1-1111111111111-1-1-1-1000000000000000000
χ422222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000221111-1-1-2-21111-1-1-1-1-1-1-1-1-1-111111111000000000000000000
χ432222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000002211111122-1-1-1-1111111-1-1-1-1-1-1-1-11111000000000000000000
χ442222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000-2-211111122111111-1-1-1-11111-1-1-1-1-1-1-1-1000000000000000000
χ4522222-2-22-2-222-2-2-2-22222222-2-2-22-222-22-2-2-2200000000000000002-22-222-2-222-2-200000000000000000000000000000000000000002-22-2002-22-2000000000000
χ4622222-2-22-2-222-2-2-2-22222222-2-2-22-222-22-2-2-2200000000000000002-22-2-2-222-2-22200000000000000000000000000000000000000002-22-200-22-22000000000000
χ4722222-2-22-2-222-2-2-2-22222222-2-2-22-222-22-2-2-220000000000000000-22-2222-2-222-2-20000000000000000000000000000000000000000-22-2200-22-22000000000000
χ4822222-2-22-2-222-2-2-2-22222222-2-2-22-222-22-2-2-220000000000000000-22-22-2-222-2-2220000000000000000000000000000000000000000-22-22002-22-2000000000000
χ492222-22-2-2-2222-22-22-2-22222-22-2-2-222-2-222-22-22-22-200000000000000000000000000002-22-22-22-2002-22-2000000000000000000000000000000002-22-200000000
χ502222-22-2-2-2222-22-22-2-22222-22-2-2-222-2-222-22-22-22-20000000000000000000000000000-22-22-22-22002-22-200000000000000000000000000000000-22-2200000000
χ512222-22-2-2-2222-22-22-2-22222-22-2-2-222-2-222-22-2-22-2200000000000000000000000000002-22-22-22-200-22-2200000000000000000000000000000000-22-2200000000
χ522222-22-2-2-2222-22-22-2-22222-22-2-2-222-2-222-22-2-22-220000000000000000000000000000-22-22-22-2200-22-22000000000000000000000000000000002-22-200000000
χ532222-22-2-2-222-22-22-222-2222-22-2-2-22-222-2-22-22000000002-22-2000000002-22-22-22-200002-2-222-2-2200000000002-22-2000000000000000000000000000000000000
χ542222-22-2-2-222-22-22-222-2222-22-2-2-22-222-2-22-22000000002-22-200000000-22-22-22-220000-222-2-222-200000000002-22-2000000000000000000000000000000000000
χ552222-22-2-2-222-22-22-222-2222-22-2-2-22-222-2-22-2200000000-22-22000000002-22-22-22-20000-222-2-222-20000000000-22-22000000000000000000000000000000000000
χ562222-22-2-2-222-22-22-222-2222-22-2-2-22-222-2-22-2200000000-22-2200000000-22-22-22-2200002-2-222-2-220000000000-22-22000000000000000000000000000000000000
χ572222-2-22-22-22-2-22-2222-2222-2-222-2-2-22-2-22-222000022-2-20000000000002-2-222-2-2200000000000000000022000000-2-2000000000000000000000000002-22-20000
χ582222-2-22-22-22-2-22-2222-2222-2-222-2-2-22-2-22-222000022-2-2000000000000-222-2-222-200000000000000000022000000-2-200000000000000000000000000-22-220000
χ592222-2-22-22-22-2-22-2222-2222-2-222-2-2-22-2-22-2220000-2-2220000000000002-2-222-2-22000000000000000000-2-20000002200000000000000000000000000-22-220000
χ602222-2-22-22-22-2-22-2222-2222-2-222-2-2-22-2-22-2220000-2-222000000000000-222-2-222-2000000000000000000-2-200000022000000000000000000000000002-22-20000
χ6122-2-222-2-22-22-2-222-22-22-2-22222-2-2-2-2-2-2222-220000000000002i−2i−2i2i00000000000022-2-22i2i−2i−2i−2i−2i2i2i00000000000000002i−2i−2i2i000000000000-220000000000000000
χ6222-2-222-2-22-22-2-222-22-22-2-22222-2-2-2-2-2-2222-220000000000002i−2i−2i2i000000000000-2-222−2i−2i2i2i2i2i−2i−2i00000000000000002i−2i−2i2i0000000000002-20000000000000000
χ6322-2-222-2-22-22-2-222-22-22-2-22222-2-2-2-2-2-2222-22000000000000−2i2i2i−2i00000000000022-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000−2i2i2i−2i000000000000-220000000000000000
χ6422-2-222-2-22-22-2-222-22-22-2-22222-2-2-2-2-2-2222-22000000000000−2i2i2i−2i000000000000-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000−2i2i2i−2i0000000000002-20000000000000000
χ6522-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-1122-2-22-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i-1-111-112-2−i−iii-11−i−iii−i−iii-1-111−i−iii000000000000000000
χ6622-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-1122-2-22-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000−2i2i-1-111-112-2ii−i−i-11ii−i−iii−i−i-1-111ii−i−i000000000000000000
χ6722-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-1122-2-2-22-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000−2i2i-1-1111-1-22−i−iii1-1−i−iiiii−i−i11-1-1ii−i−i000000000000000000
χ6822-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-1122-2-2-22-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000002i−2i-1-1111-1-22ii−i−i1-1ii−i−i−i−iii11-1-1−i−iii000000000000000000
χ6922-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-11-2-2222-22-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000−2i2i11-1-1-11-22−i−iii-11ii−i−iii−i−i11-1-1−i−iii000000000000000000
χ7022-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-11-2-2222-22-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000002i−2i11-1-1-11-22ii−i−i-11−i−iii−i−iii11-1-1ii−i−i000000000000000000
χ7122-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-11-2-222-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i11-1-11-12-2−i−iii1-1ii−i−i−i−iii-1-111ii−i−i000000000000000000
χ7222-2-222-2-22-2-122-2-22-22-211-1-1-1-1111-1-1-1111-11-2-222-22-22−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i11-1-11-12-2ii−i−i1-1−i−iiiii−i−i-1-111−i−iii000000000000000000
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χ7422-2-22-22-2-2222-222-2-22-2-2-222-2-22-2222-2-222-2-200000000000000002i−2i−2i2i-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i00−2i2i2i−2i000000000000
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Here i is the imaginary unit (i² = −1).