Finite Group Databasebeta

← Group #72271118

Character table — Group #72271118

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222224444444444444488888888888888161616162222444444444488888888888888161616161616161616161616161632323232333366666666661212121212121212121212121212242424242424242424242424242448484848
order12222222224444222244444444442224444444444444443666666666121212126666121212121212121212126661212121212121212121212121212122222222222444422224444444444222444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-111
χ811111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111-1-1-1-1111111-1-1-1-1-1-111-11-1-11-11-11-111-1-11-11-11111111111-1-1-1-1111111-1-1-1-1-1-111-11-1-11-11-11-111-1-11-11-11111111111-1-1-1-1111111-1-1-1-1-1-111-11-1-11-11-11-111-1-11-11-1
χ101111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-11-111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-11-111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-11-11
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1111-1-11
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-111-11-1-1-111-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-111-11-1-1-111-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-111-11-1-1-111-111-1
χ131111111111-1-1-1-1-1-1-1-111-1-1111111-11-1-11-11-11-1-1-111-11-111111111111-1-1-1-1-1-1-1-111-1-1111111-11-1-11-11-11-1-1-111-11-111111111111-1-1-1-1-1-1-1-111-1-1111111-11-1-11-11-11-1-1-111-11-11
χ141111111111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11-11-11-1-1111-11-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11-11-11-1-1111-11-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11-11-11-1-1111-11-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1111-1-1-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-111-11-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-111-11-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-111-11-111-1-11-1-11
χ1722222-2-2-22-222-2-20000002-200000000000022-2-20000000022222-2-2-22-222-2-20000002-200000000000022-2-20000000022222-2-2-22-222-2-20000002-200000000000022-2-200000000
χ1822222-2-2-22-222-2-20000002-2000000000000-2-2220000000022222-2-2-22-222-2-20000002-2000000000000-2-2220000000022222-2-2-22-222-2-20000002-2000000000000-2-22200000000
χ1922222-2-2-22-2-2-222000000-220000000000002-2-220000000022222-2-2-22-2-2-222000000-220000000000002-2-220000000022222-2-2-22-2-2-222000000-220000000000002-2-2200000000
χ2022222-2-2-22-2-2-222000000-22000000000000-222-20000000022222-2-2-22-2-2-222000000-22000000000000-222-20000000022222-2-2-22-2-2-222000000-22000000000000-222-200000000
χ212222-22-2-2-2222-2-2000000-220000000220-2-20000000000002222-22-2-2-2222-2-2000000-220000000220-2-20000000000002222-22-2-2-2222-2-2000000-220000000220-2-2000000000000
χ222222-22-2-2-2222-2-2000000-220000000-2-20220000000000002222-22-2-2-2222-2-2000000-220000000-2-20220000000000002222-22-2-2-2222-2-2000000-220000000-2-2022000000000000
χ232222-22-2-2-22-2-2220000002-200000002-20-220000000000002222-22-2-2-22-2-2220000002-200000002-20-220000000000002222-22-2-2-22-2-2220000002-200000002-20-22000000000000
χ242222-22-2-2-22-2-2220000002-20000000-2202-20000000000002222-22-2-2-22-2-2220000002-20000000-2202-20000000000002222-22-2-2-22-2-2220000002-20000000-2202-2000000000000
χ252222-2-222-2-22222000022-2-20000-2-2-2002000000000000002222-2-222-2-22222000022-2-20000-2-2-2002000000000000002222-2-222-2-22222000022-2-20000-2-2-200200000000000000
χ262222-2-222-2-222220000-2-2-2-2000022200-2000000000000002222-2-222-2-222220000-2-2-2-2000022200-2000000000000002222-2-222-2-222220000-2-2-2-2000022200-200000000000000
χ272222-2-222-2-2-2-2-2-2000022220000-2-2200-2000000000000002222-2-222-2-2-2-2-2-2000022220000-2-2200-2000000000000002222-2-222-2-2-2-2-2-2000022220000-2-2200-200000000000000
χ282222-2-222-2-2-2-2-2-20000-2-222000022-2002000000000000002222-2-222-2-2-2-2-2-20000-2-222000022-2002000000000000002222-2-222-2-2-2-2-2-20000-2-222000022-200200000000000000
χ2922-2-22-22-2-22000022-2-22i−2i0000002i−2i00000000002i−2i00000022-2-22-22-2-22000022-2-22i−2i0000002i−2i00000000002i−2i00000022-2-22-22-2-22000022-2-22i−2i0000002i−2i00000000002i−2i000000
χ3022-2-22-22-2-22000022-2-2−2i2i000000−2i2i0000000000−2i2i00000022-2-22-22-2-22000022-2-2−2i2i000000−2i2i0000000000−2i2i00000022-2-22-22-2-22000022-2-2−2i2i000000−2i2i0000000000−2i2i000000
χ3122-2-22-22-2-220000-2-2222i−2i0000002i−2i0000000000−2i2i00000022-2-22-22-2-220000-2-2222i−2i0000002i−2i0000000000−2i2i00000022-2-22-22-2-220000-2-2222i−2i0000002i−2i0000000000−2i2i000000
χ3222-2-22-22-2-220000-2-222−2i2i000000−2i2i00000000002i−2i00000022-2-22-22-2-220000-2-222−2i2i000000−2i2i00000000002i−2i00000022-2-22-22-2-220000-2-222−2i2i000000−2i2i00000000002i−2i000000
χ3322-2-2-222-22-2000000002i−2i002i2i−2i−2i−2i2i0000000000002-2000022-2-2-222-22-2000000002i−2i002i2i−2i−2i−2i2i0000000000002-2000022-2-2-222-22-2000000002i−2i002i2i−2i−2i−2i2i0000000000002-20000
χ3422-2-2-222-22-2000000002i−2i00−2i−2i2i2i−2i2i000000000000-22000022-2-2-222-22-2000000002i−2i00−2i−2i2i2i−2i2i000000000000-22000022-2-2-222-22-2000000002i−2i00−2i−2i2i2i−2i2i000000000000-220000
χ3522-2-2-222-22-200000000−2i2i002i2i−2i−2i2i−2i000000000000-22000022-2-2-222-22-200000000−2i2i002i2i−2i−2i2i−2i000000000000-22000022-2-2-222-22-200000000−2i2i002i2i−2i−2i2i−2i000000000000-220000
χ3622-2-2-222-22-200000000−2i2i00−2i−2i2i2i2i−2i0000000000002-2000022-2-2-222-22-200000000−2i2i00−2i−2i2i2i2i−2i0000000000002-2000022-2-2-222-22-200000000−2i2i00−2i−2i2i2i2i−2i0000000000002-20000
χ3744-4-444-44-4-400000000000000000000000000000000000044-4-444-44-4-400000000000000000000000000000000000044-4-444-44-4-4000000000000000000000000000000000000
χ3844-4-4-4-4-444400000000000000000000000000000000000044-4-4-4-4-444400000000000000000000000000000000000044-4-4-4-4-4444000000000000000000000000000000000000
χ394-44-4000000004i−4i2-22-200002i−2i2i−2i000000000000000000004-44-4000000004i−4i2-22-200002i−2i2i−2i000000000000000000004-44-4000000004i−4i2-22-200002i−2i2i−2i00000000000000000000
χ404-44-4000000004i−4i-22-220000−2i2i−2i2i000000000000000000004-44-4000000004i−4i-22-220000−2i2i−2i2i000000000000000000004-44-4000000004i−4i-22-220000−2i2i−2i2i00000000000000000000
χ414-44-400000000−4i4i2-22-20000−2i2i−2i2i000000000000000000004-44-400000000−4i4i2-22-20000−2i2i−2i2i000000000000000000004-44-400000000−4i4i2-22-20000−2i2i−2i2i00000000000000000000
χ424-44-400000000−4i4i-22-2200002i−2i2i−2i000000000000000000004-44-400000000−4i4i-22-2200002i−2i2i−2i000000000000000000004-44-400000000−4i4i-22-2200002i−2i2i−2i00000000000000000000
χ434-4-440000004-4002-2-2200002-2-22000000000000000000004-4-440000004-4002-2-2200002-2-22000000000000000000004-4-440000004-4002-2-2200002-2-2200000000000000000000
χ444-4-440000004-400-222-20000-222-2000000000000000000004-4-440000004-400-222-20000-222-2000000000000000000004-4-440000004-400-222-20000-222-200000000000000000000
χ454-4-44000000-44002-2-220000-222-2000000000000000000004-4-44000000-44002-2-220000-222-2000000000000000000004-4-44000000-44002-2-220000-222-200000000000000000000
χ464-4-44000000-4400-222-200002-2-22000000000000000000004-4-44000000-4400-222-200002-2-22000000000000000000004-4-44000000-4400-222-200002-2-2200000000000000000000
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
χ4811111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-11111
χ49111111111111111111-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-1-111111111-1-111
χ50111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ5111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5211111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-11111111111-1-1-1-1
χ5311111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-1-11-1-11111-1-1-1-111-1-1
χ5411111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ551111111111-1-1-1-1111111-1-1-1-1-1-111-11-1-11-11-11-111-1-11-11-11111111111-1-1-1-1111111-1-1-1-1-1-111-11-1-11-11-11-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-111-11-11-11-1-111-11-11
χ561111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-11-111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-11-11-1111-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-111-11-11-1-1-1111-11-1
χ571111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11-1-111-11-111-1-1-111-1
χ581111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-111-11-1-1-111-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-111-11-1-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11-1-11-1-11-1111-1-11-1-11
χ591111111111-1-1-1-1-1-1-1-111-1-1111111-11-1-11-11-11-1-1-111-11-111111111111-1-1-1-1-1-1-1-111-1-1111111-11-1-11-11-11-1-1-111-11-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11-111-11-11-1111-1-11-11-1
χ601111111111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11-11-11-1-1111-11-11111111111-1-1-1-1-1-1-1-111-1-1111111-1-11-1-11-11-11-1-1111-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-111-11-11-111-1-1-11-11
χ611111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-111-11-1-1-1111-1-11
χ621111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-111-11-111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-111-11-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-11-1-11-1-11-11-1-111-111-1
χ6322222-2-2-22-222-2-20000002-200000000000022-2-20000000022222-2-2-22-222-2-20000002-200000000000022-2-200000000-2-2-2-2-2222-22-2-222000000-22000000000000-2-22200000000
χ6422222-2-2-22-222-2-20000002-2000000000000-2-2220000000022222-2-2-22-222-2-20000002-2000000000000-2-22200000000-2-2-2-2-2222-22-2-222000000-2200000000000022-2-200000000
χ6522222-2-2-22-2-2-222000000-220000000000002-2-220000000022222-2-2-22-2-2-222000000-220000000000002-2-2200000000-2-2-2-2-2222-2222-2-20000002-2000000000000-222-200000000
χ6622222-2-2-22-2-2-222000000-22000000000000-222-20000000022222-2-2-22-2-2-222000000-22000000000000-222-200000000-2-2-2-2-2222-2222-2-20000002-20000000000002-2-2200000000
χ672222-22-2-2-2222-2-2000000-220000000220-2-20000000000002222-22-2-2-2222-2-2000000-220000000220-2-2000000000000-2-2-2-22-2222-2-2-2220000002-20000000-2-2022000000000000
χ682222-22-2-2-2222-2-2000000-220000000-2-20220000000000002222-22-2-2-2222-2-2000000-220000000-2-2022000000000000-2-2-2-22-2222-2-2-2220000002-20000000220-2-2000000000000
χ692222-22-2-2-22-2-2220000002-200000002-20-220000000000002222-22-2-2-22-2-2220000002-200000002-20-22000000000000-2-2-2-22-2222-222-2-2000000-220000000-2202-2000000000000
χ702222-22-2-2-22-2-2220000002-20000000-2202-20000000000002222-22-2-2-22-2-2220000002-20000000-2202-2000000000000-2-2-2-22-2222-222-2-2000000-2200000002-20-22000000000000
χ712222-2-222-2-22222000022-2-20000-2-2-2002000000000000002222-2-222-2-22222000022-2-20000-2-2-200200000000000000-2-2-2-222-2-222-2-2-2-20000-2-222000022200-200000000000000
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Here i is the imaginary unit (i² = −1).