Finite Group Databasebeta

← Group #72271096

Character table — Group #72271096

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222333344444444444444444444444466666666668888888888888888888888888888121212121212121212121212121216161616161616161616161616161616161624242424242424242424242424243232323248484848
order12222222223444466644442222444444444466666612121212222244444422244444444444666612121212121212121212222222224444444444666121212121212121212121222444444444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-11111-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1111111-1-111111111111111111111-111-111-1-1-1-1-1-1-1-11111-1-1111111-1-1111111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-111-1-1
χ411111111111111111111111111-1-1111111-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-11111-1-1-111-1-1-1111111-1-111-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1111111-1-111-1-1
χ9111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111-11111-111-1-1-1-1-1-1-1-11111
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-1111-1-1111-1-1111111-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11111111-1-11111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-111-11111-11111111111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-111-111-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1111-1-1111-1-1-1-111-1-1-1-111
χ1711111111111-1-1-1-11111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-11-11-11-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-11-1-11-11-11-111-1-11-1-11-11-1-11-111-1-11-11-11-11-1
χ1811111111111-1-1-1-11111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-11-1111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-11-11-1-11-1-11-11-1111-1-1-11-1-11-11-1-1111-1-1-11-11-11-11
χ1911111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-11-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-111-1-11-11-1-111-1111-1-1111-1-1-1111-1-111-1-11
χ2011111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-111-111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-11-111-111-11-1-1-1111-11-111-11-11-1-111-111-1-111-1
χ2111111111111-1-1-1-11111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111-11-1-11-11-11-1-1-111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-11-11-11-1-11-11-11-1-1-1111-1-11-11-1-11-1-1-111-11-11-11-11
χ2211111111111-1-1-1-11111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11-11-11-1-111-1-1-1-111-1-1111111-1-111111111-1-1-1-11-11-1-1-11-1-11-11-11-1-111-11-1-11-11-1-11-1-1111-11-11-11-1
χ2311111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-111-1-11-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-111-1-11-1111-1-1-1111-1-1111-111-1-1-111-1-111-1
χ2411111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111111-111-111-11-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-111-111-11-111-1-11-11-111-11-1111-1-11-1-111-1-11
χ2511111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11-11-11-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-1-11-11-11-111-1-1-111-11-111-11-1-1111-11-1-11-11
χ2611111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11-1111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11-1-11-11-1111-1-11-111-11-111-1-1-111-11-111-11-1
χ2711111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-111-1-11-11-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1111-111-1-11-11-1-1111-1-1-111-1-1-1111-1-11-1-11-111-1
χ2811111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-11-111-111-11-1-1-111-11-11-1-11-11-111-1-1-111-11-1-11
χ2911111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-11-11-11-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-11-11-11-1-11-11-11-1-1-111-111-11-111-1111-1-1-11-111-11-1
χ3011111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-11-11-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-11-1-11-11-11-1-1111-111-11-111-111-1-11-11-1-11-11
χ3111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-111-111-1-11-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-111-111-111-1-11-1111-1-11-1-1-111-1-1-11-1-111-111-11-1-11
χ3211111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-111-11-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111-1-111-111-111-11-111-1-1-11-11-1-11-11-1-1-1111-1-11-111-1
χ332222222222-12222-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1000000000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-1-1-10000
χ342222222222-12222-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-100000000002-2-22-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-2-111-1111111-1-1-1-10000000000000011110000
χ352222222222-12222-1-1-100002222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-10000000000-222-222-2-2-2-2-2-2-2-2-1-1-1-111-1-1-1-1-1-1110000000000000022-2-21-1-11-1-11111111100000000000000-1-1110000
χ362222222222-12222-1-1-100002222-2-2222222-2-2-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-22222-2-2-2-2-1-1-1-111-1-1-1-1-1-11100000000000000-2-222111111-1-1-1-111110000000000000011-1-10000
χ372222222222-12222-1-1-10000-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-1-1-100000000002222222222-2-2-2-21111-1-1-1-11111-1-100000000000000-2-2-2-2-1-1-1-1-1-1-1-1-1-111110000000000000011110000
χ382222222222-12222-1-1-10000-2-2-2-22222-2-2-2-222-1-1-1-1-1-1-1-1-1-100000000002-2-22-2-2-2-2-2-2-2-2-2-21111-1-1-1-11111-1-1000000000000002222-111-1111111111100000000000000-1-1-1-10000
χ392222222222-12222-1-1-10000-2-2-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000-222-222-2-2-2-22222111111-1-111111100000000000000-2-2221-1-11-1-11111-1-1-1-10000000000000011-1-10000
χ402222222222-12222-1-1-10000-2-2-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-222222222111111-1-11111110000000000000022-2-2111111-1-1-1-1-1-1-1-100000000000000-1-1110000
χ412222222222-1-2-2-2-2-1-1-10000222222-2-2-2-2-2-222-1-1-1-1-1-111110000000000-22-2-22-22-22-222-2-2-1-1-1-1-1-1111111-1-1000000000000002-22-21-111-11-11-11-1-11100000000000000-11-110000
χ422222222222-1-2-2-2-2-1-1-10000222222-2-2-2-2-2-222-1-1-1-1-1-111110000000000-2-22-2-22-22-2222-2-2-1-1-1-1-1-1111111-1-100000000000000-22-2211-111-11-11-1-1-111000000000000001-11-10000
χ432222222222-1-2-2-2-2-1-1-100002222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-11111000000000022-222-2-22-22-2-222-1-1-1-11111111111000000000000002-2-22-1-11-1-111-11-111-1-100000000000000-111-10000
χ442222222222-1-2-2-2-2-1-1-100002222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1111100000000002-222-222-22-2-2-222-1-1-1-1111111111100000000000000-222-2-11-1-11-1-11-1111-1-1000000000000001-1-110000
χ452222222222-1-2-2-2-2-1-1-10000-2-2-2-222-2-2222222-1-1-1-1-1-111110000000000-22-2-22-22-22-2-2-2221111-1-111-1-1-1-1-1-100000000000000-22-221-111-11-11-1111-1-1000000000000001-11-10000
χ462222222222-1-2-2-2-2-1-1-10000-2-2-2-222-2-2222222-1-1-1-1-1-111110000000000-2-22-2-22-22-22-2-2221111-1-111-1-1-1-1-1-1000000000000002-22-211-111-11-11-111-1-100000000000000-11-110000
χ472222222222-1-2-2-2-2-1-1-10000-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-11111000000000022-222-2-22-2222-2-211111111-1-1-1-11100000000000000-222-2-1-11-1-111-11-1-1-111000000000000001-1-110000
χ482222222222-1-2-2-2-2-1-1-10000-2-2-2-2-2-2-2-22222-2-2-1-1-1-1-1-1111100000000002-222-222-22-222-2-211111111-1-1-1-111000000000000002-2-22-11-1-11-1-11-11-1-11100000000000000-111-10000
χ4922222-2-2-22-2222-2-222222220000002-20000002-2-2-22-222-2-222-2-222-2-2-2-200000022-2-200000000002-20000002-2000000000000000000000022-2-20000-2-200022000000000000000
χ5022222-2-2-22-2222-2-222222220000002-20000002-2-2-22-222-2-222-2-222-2-2-2-2000000-2-22200000000002-20000002-20000000000000000000000-2-222000022000-2-2000000000000000
χ5122222-2-2-22-2222-2-2222-2-2-2-20000002-20000002-2-2-22-222-2-2-2-222-2-2222200000022-2-200000000002-2000000-22000000000000000000000022-2-2000022000-2-2000000000000000
χ5222222-2-2-22-2222-2-2222-2-2-2-20000002-20000002-2-2-22-222-2-2-2-222-2-22222000000-2-22200000000002-2000000-220000000000000000000000-2-2220000-2-200022000000000000000
χ5322222-2-2-22-22-2-2222222222000000-220000002-2-2-22-2-2-222-2-22222-2-2-2-20000002-2-220000000000-22000000-2200000000000000000000002-2-220000-220002-2000000000000000
χ5422222-2-2-22-22-2-2222222222000000-220000002-2-2-22-2-2-222-2-22222-2-2-2-2000000-222-20000000000-22000000-220000000000000000000000-222-200002-2000-22000000000000000
χ5522222-2-2-22-22-2-222222-2-2-2-2000000-220000002-2-2-22-2-2-22222-2-2-2-222220000002-2-220000000000-220000002-200000000000000000000002-2-2200002-2000-22000000000000000
χ5622222-2-2-22-22-2-222222-2-2-2-2000000-220000002-2-2-22-2-2-22222-2-2-2-22222000000-222-20000000000-220000002-20000000000000000000000-222-20000-220002-2000000000000000
χ572222-22-2-2-22222-2-22222222000000-22000000-22-2-2-2222-2-222-2-2-2-222-2-20220-2-200000000000000-22000000-2200000000000000000220-2-200000000000-2-200022000000000000
χ582222-22-2-2-22222-2-22222222000000-22000000-22-2-2-2222-2-222-2-2-2-222-2-20-2-202200000000000000-22000000-2200000000000000000-2-20220000000000022000-2-2000000000000
χ592222-22-2-2-22222-2-2222-2-2-2-2000000-22000000-22-2-2-2222-2-2-2-22222-2-2220220-2-200000000000000-220000002-200000000000000000220-2-20000000000022000-2-2000000000000
χ602222-22-2-2-22222-2-2222-2-2-2-2000000-22000000-22-2-2-2222-2-2-2-22222-2-2220-2-202200000000000000-220000002-200000000000000000-2-202200000000000-2-200022000000000000
χ612222-22-2-2-222-2-22222222220000002-2000000-22-2-2-22-2-222-2-222-2-222-2-202-20-22000000000000002-20000002-2000000000000000002-20-2200000000000-220002-2000000000000
χ622222-22-2-2-222-2-22222222220000002-2000000-22-2-2-22-2-222-2-222-2-222-2-20-2202-2000000000000002-20000002-200000000000000000-2202-2000000000002-2000-22000000000000
χ632222-22-2-2-222-2-222222-2-2-2-20000002-2000000-22-2-2-22-2-22222-2-222-2-22202-20-22000000000000002-2000000-22000000000000000002-20-22000000000002-2000-22000000000000
χ642222-22-2-2-222-2-222222-2-2-2-20000002-2000000-22-2-2-22-2-22222-2-222-2-2220-2202-2000000000000002-2000000-2200000000000000000-2202-200000000000-220002-2000000000000
χ652222-2-222-2-2222222222222000022-2-20000-2-2-2-222-2-222222222-2-2-2-222-20020000000000000022-2-20000-2-2-2-20000-2-22200000000-200200000000000020000-200000000000000
χ662222-2-222-2-22222222222220000-2-2-2-2000022-2-222-2-222222222-2-2-2-222200-200000000000000-2-2-2-2000022-2-2000022-2-200000000200-2000000000000-20000200000000000000
χ672222-2-222-2-222222222-2-2-2-2000022-2-20000-2-2-2-222-2-22222-2-2-2-22222-2-2-20020000000000000022-2-20000-2-222000022-2-200000000-2002000000000000-20000200000000000000
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Here i is the imaginary unit (i² = −1).