Finite Group Databasebeta

← Group #72248416

Character table — Group #72248416

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222288888888888888888888888888882222444444444444441616161616161616161616161616161616161616161616161616161633336666666666666624242424242424242424242424242424242424242424242424242424
order122222222244444444222222444444888888888888888836666666661212121212121212666666121212121212242424242424242424242424242424242222222222444444442222224444448888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-1111-11-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i111111-1-1-1-1111-11-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i111111-1-1-1-1111-11-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i
χ10111111-1-1-1-1111-11-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii111111-1-1-1-1111-11-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii111111-1-1-1-1111-11-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii
χ11111111-1-1-1-1111-11-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii111111-1-1-1-1111-11-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii111111-1-1-1-1111-11-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii
χ12111111-1-1-1-1111-11-1-1-111-1-1-1-111−i−iii-1-111−i−iiiii−i−iii−i−i111111-1-1-1-1111-11-1-1-111-1-1-1-111−i−iii-1-111−i−iiiii−i−iii−i−i111111-1-1-1-1111-11-1-1-111-1-1-1-111−i−iii-1-111−i−iiiii−i−iii−i−i
χ13111111-1-1-1-1111-11-1-1-1-1-11111-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii111111-1-1-1-1111-11-1-1-1-1-11111-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii111111-1-1-1-1111-11-1-1-1-1-11111-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii
χ14111111-1-1-1-1111-11-1-1-1-1-11111-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i111111-1-1-1-1111-11-1-1-1-1-11111-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i111111-1-1-1-1111-11-1-1-1-1-11111-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i
χ15111111-1-1-1-1111-11-1-1-1-1-111-1-111ii−i−i11-1-1−i−iii−i−iiiii−i−i111111-1-1-1-1111-11-1-1-1-1-111-1-111ii−i−i11-1-1−i−iii−i−iiiii−i−i111111-1-1-1-1111-11-1-1-1-1-111-1-111ii−i−i11-1-1−i−iii−i−iiiii−i−i
χ16111111-1-1-1-1111-11-1-1-1-1-111-1-111−i−iii11-1-1ii−i−iii−i−i−i−iii111111-1-1-1-1111-11-1-1-1-1-111-1-111−i−iii11-1-1ii−i−iii−i−i−i−iii111111-1-1-1-1111-11-1-1-1-1-111-1-111−i−iii11-1-1ii−i−iii−i−i−i−iii
χ172222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ182222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ19222222-2-2-2-2-2-2-22-22220000000000000000000000002-2-22222222-2-2-2-2-2-2-22-22220000000000000000000000002-2-22222222-2-2-2-2-2-2-22-22220000000000000000000000002-2-22
χ20222222-2-2-2-2-2-2-22-2222000000000000000000000000-222-2222222-2-2-2-2-2-2-22-2222000000000000000000000000-222-2222222-2-2-2-2-2-2-22-2222000000000000000000000000-222-2
χ212222-2-222-2-222-22-22-2-200000000000000002i−2i2i−2i000000002222-2-222-2-222-22-22-2-200000000000000002i−2i2i−2i000000002222-2-222-2-222-22-22-2-200000000000000002i−2i2i−2i00000000
χ222222-2-222-2-222-22-22-2-20000000000000000−2i2i−2i2i000000002222-2-222-2-222-22-22-2-20000000000000000−2i2i−2i2i000000002222-2-222-2-222-22-22-2-20000000000000000−2i2i−2i2i00000000
χ232222-2-222-2-2-2-22-22-22200002-22-2000000000000000000002222-2-222-2-2-2-22-22-22200002-22-2000000000000000000002222-2-222-2-2-2-22-22-22200002-22-200000000000000000000
χ242222-2-222-2-2-2-22-22-2220000-22-22000000000000000000002222-2-222-2-2-2-22-22-2220000-22-22000000000000000000002222-2-222-2-2-2-22-22-2220000-22-2200000000000000000000
χ252222-2-2-2-22222-2-2-2-22200000000000000002-2-22000000002222-2-2-2-22222-2-2-2-22200000000000000002-2-22000000002222-2-2-2-22222-2-2-2-22200000000000000002-2-2200000000
χ262222-2-2-2-22222-2-2-2-2220000000000000000-222-2000000002222-2-2-2-22222-2-2-2-2220000000000000000-222-2000000002222-2-2-2-22222-2-2-2-2220000000000000000-222-200000000
χ272222-2-2-2-222-2-22222-2-200002-2-22000000000000000000002222-2-2-2-222-2-22222-2-200002-2-22000000000000000000002222-2-2-2-222-2-22222-2-200002-2-2200000000000000000000
χ282222-2-2-2-222-2-22222-2-20000-222-2000000000000000000002222-2-2-2-222-2-22222-2-20000-222-2000000000000000000002222-2-2-2-222-2-22222-2-20000-222-200000000000000000000
χ292-2-222-22-22-22-222-2-22-2000000000000000000002i−2i2i−2i00002-2-222-22-22-22-222-2-22-2000000000000000000002i−2i2i−2i00002-2-222-22-22-22-222-2-22-2000000000000000000002i−2i2i−2i0000
χ302-2-222-22-22-22-222-2-22-200000000000000000000−2i2i−2i2i00002-2-222-22-22-22-222-2-22-200000000000000000000−2i2i−2i2i00002-2-222-22-22-22-222-2-22-200000000000000000000−2i2i−2i2i0000
χ312-2-222-22-22-2-22-2-222-222-22-20000000000000000000000002-2-222-22-22-2-22-2-222-222-22-20000000000000000000000002-2-222-22-22-2-22-2-222-222-22-2000000000000000000000000
χ322-2-222-22-22-2-22-2-222-22-22-220000000000000000000000002-2-222-22-22-2-22-2-222-22-22-220000000000000000000000002-2-222-22-22-2-22-2-222-22-22-22000000000000000000000000
χ332-2-222-2-22-222-22-2-22-22000000000000000000002-2-2200002-2-222-2-22-222-22-2-22-22000000000000000000002-2-2200002-2-222-2-22-222-22-2-22-22000000000000000000002-2-220000
χ342-2-222-2-22-222-22-2-22-2200000000000000000000-222-200002-2-222-2-22-222-22-2-22-2200000000000000000000-222-200002-2-222-2-22-222-22-2-22-2200000000000000000000-222-20000
χ352-2-222-2-22-22-22-222-22-22-2-220000000000000000000000002-2-222-2-22-22-22-222-22-22-2-220000000000000000000000002-2-222-2-22-22-22-222-22-22-2-22000000000000000000000000
χ362-2-222-2-22-22-22-222-22-2-222-20000000000000000000000002-2-222-2-22-22-22-222-22-2-222-20000000000000000000000002-2-222-2-22-22-22-222-22-2-222-2000000000000000000000000
χ372-2-22-222-2-222-2-222-2-220000000000002-22-20000000000002-2-22-222-2-222-2-222-2-220000000000002-22-20000000000002-2-22-222-2-222-2-222-2-220000000000002-22-2000000000000
χ382-2-22-222-2-222-2-222-2-22000000000000-22-220000000000002-2-22-222-2-222-2-222-2-22000000000000-22-220000000000002-2-22-222-2-222-2-222-2-22000000000000-22-22000000000000
χ392-2-22-222-2-22-222-2-222-2000000002-22-200000000000000002-2-22-222-2-22-222-2-222-2000000002-22-200000000000000002-2-22-222-2-22-222-2-222-2000000002-22-20000000000000000
χ402-2-22-222-2-22-222-2-222-200000000-22-2200000000000000002-2-22-222-2-22-222-2-222-200000000-22-2200000000000000002-2-22-222-2-22-222-2-222-200000000-22-220000000000000000
χ412-2-22-22-222-22-2-2-2222-20000000000002-2-220000000000002-2-22-22-222-22-2-2-2222-20000000000002-2-220000000000002-2-22-22-222-22-2-2-2222-20000000000002-2-22000000000000
χ422-2-22-22-222-22-2-2-2222-2000000000000-222-20000000000002-2-22-22-222-22-2-2-2222-2000000000000-222-20000000000002-2-22-22-222-22-2-2-2222-2000000000000-222-2000000000000
χ432-2-22-22-222-2-2222-2-2-22000000002i−2i−2i2i00000000000000002-2-22-22-222-2-2222-2-2-22000000002i−2i−2i2i00000000000000002-2-22-22-222-2-2222-2-2-22000000002i−2i−2i2i0000000000000000
χ442-2-22-22-222-2-2222-2-2-2200000000−2i2i2i−2i00000000000000002-2-22-22-222-2-2222-2-2-2200000000−2i2i2i−2i00000000000000002-2-22-22-222-2-2222-2-2-2200000000−2i2i2i−2i0000000000000000
χ4588-8-800000000000000000000000000000000000000000088-8-800000000000000000000000000000000000000000088-8-8000000000000000000000000000000000000000000
χ468-88-80000000000000000000000000000000000000000008-88-80000000000000000000000000000000000000000008-88-8000000000000000000000000000000000000000000
χ4711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ491111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ501111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ52111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ53111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ54111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ55111111-1-1-1-1111-11-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i111111-1-1-1-1111-11-1-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i-1-1-1-1-1-11111-1-1-11-1111-1-111-1-111−i−iii-1-111−i−iii−i−iii−i−iii
χ56111111-1-1-1-1111-11-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii111111-1-1-1-1111-11-1-1-111-1-111-1-1−i−iii11-1-1−i−iii−i−iii−i−iii-1-1-1-1-1-11111-1-1-11-1111-1-111-1-111ii−i−i-1-111ii−i−iii−i−iii−i−i
χ57111111-1-1-1-1111-11-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii111111-1-1-1-1111-11-1-1-111-1-1-1-111ii−i−i-1-111ii−i−i−i−iii−i−iii-1-1-1-1-1-11111-1-1-11-1111-1-11111-1-1−i−iii11-1-1−i−iiiii−i−iii−i−i
χ58111111-1-1-1-1111-11-1-1-111-1-1-1-111−i−iii-1-111−i−iiiii−i−iii−i−i111111-1-1-1-1111-11-1-1-111-1-1-1-111−i−iii-1-111−i−iiiii−i−iii−i−i-1-1-1-1-1-11111-1-1-11-1111-1-11111-1-1ii−i−i11-1-1ii−i−i−i−iii−i−iii
χ59111111-1-1-1-1111-11-1-1-1-1-11111-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii111111-1-1-1-1111-11-1-1-1-1-11111-1-1ii−i−i-1-111−i−iiiii−i−i−i−iii-1-1-1-1-1-11111-1-1-11-111111-1-1-1-111−i−iii11-1-1ii−i−i−i−iiiii−i−i
χ60111111-1-1-1-1111-11-1-1-1-1-11111-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i111111-1-1-1-1111-11-1-1-1-1-11111-1-1−i−iii-1-111ii−i−i−i−iiiii−i−i-1-1-1-1-1-11111-1-1-11-111111-1-1-1-111ii−i−i11-1-1−i−iiiii−i−i−i−iii
χ61111111-1-1-1-1111-11-1-1-1-1-111-1-111ii−i−i11-1-1−i−iii−i−iiiii−i−i111111-1-1-1-1111-11-1-1-1-1-111-1-111ii−i−i11-1-1−i−iii−i−iiiii−i−i-1-1-1-1-1-11111-1-1-11-111111-1-111-1-1−i−iii-1-111ii−i−iii−i−i−i−iii
χ62111111-1-1-1-1111-11-1-1-1-1-111-1-111−i−iii11-1-1ii−i−iii−i−i−i−iii111111-1-1-1-1111-11-1-1-1-1-111-1-111−i−iii11-1-1ii−i−iii−i−i−i−iii-1-1-1-1-1-11111-1-1-11-111111-1-111-1-1ii−i−i-1-111−i−iii−i−iiiii−i−i
χ632222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000−2i2i−2i2i
χ642222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000002i−2i2i−2i
χ65222222-2-2-2-2-2-2-22-22220000000000000000000000002-2-22222222-2-2-2-2-2-2-22-22220000000000000000000000002-2-22-2-2-2-2-2-22222222-22-2-2-2000000000000000000000000-222-2
χ66222222-2-2-2-2-2-2-22-2222000000000000000000000000-222-2222222-2-2-2-2-2-2-22-2222000000000000000000000000-222-2-2-2-2-2-2-22222222-22-2-2-20000000000000000000000002-2-22
χ672222-2-222-2-222-22-22-2-200000000000000002i−2i2i−2i000000002222-2-222-2-222-22-22-2-200000000000000002i−2i2i−2i00000000-2-2-2-222-2-222-2-22-22-2220000000000000000−2i2i−2i2i00000000
χ682222-2-222-2-222-22-22-2-20000000000000000−2i2i−2i2i000000002222-2-222-2-222-22-22-2-20000000000000000−2i2i−2i2i00000000-2-2-2-222-2-222-2-22-22-22200000000000000002i−2i2i−2i00000000
χ692222-2-222-2-2-2-22-22-22200002-22-2000000000000000000002222-2-222-2-2-2-22-22-22200002-22-200000000000000000000-2-2-2-222-2-22222-22-22-2-20000-22-2200000000000000000000
χ702222-2-222-2-2-2-22-22-2220000-22-22000000000000000000002222-2-222-2-2-2-22-22-2220000-22-2200000000000000000000-2-2-2-222-2-22222-22-22-2-200002-22-200000000000000000000
χ712222-2-2-2-22222-2-2-2-22200000000000000002-2-22000000002222-2-2-2-22222-2-2-2-22200000000000000002-2-2200000000-2-2-2-22222-2-2-2-22222-2-20000000000000000-222-200000000
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Here i is the imaginary unit (i² = −1).