Finite Group Databasebeta

← Group #72271944

Character table — Group #72271944

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222224444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888848484848969696969696
order12222366622222222444444666666666612121212121212122222222444444444444444446666666666666666661212121212121212121212121212121212121212121212121212121212121212121212122444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1
χ41111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11
χ511111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-11-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1-1-1
χ611111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-111111-1-1-11-1-11-1-111-1-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ711111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-11
χ811111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-11-1
χ9111111111-1-1111111-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-11-1-11-1-1-111-1111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-11-11-1-1
χ10111111111-1-1111111-1-1111111-1-1-1-11111-1-1-1-11111-11-1-1-11-1-11-1-1-111-1111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111
χ11111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-111-11-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-11
χ12111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-111-11-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-111-1
χ13111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ14111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1-11-1-1-11111-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1
χ16111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1-11-1-1-11111-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ172222222220000-2-2-2-222222222000000002222222200-2-2002002000022-2-20000-2-2-2-2-2-20000-2-2-2-200002222000022000000002222-2-2-2-200000000-2-2-2-20000000000
χ182222222220000-2-2-2-222-2-22222000000002222-2-2-2-200-2-200-200-200002-222000022-2-2-2-20000-2-2-2-20000-2-2220000-2-20000000022-2-222220000000022220000000000
χ192222222220000-2-2-2-2-2-222222200000000-2-2-2-22222002200-200-20000-22-2-2000022-2-2-2-2000022220000-2-2220000-2-200000000-2-222-2-2-2-20000000022220000000000
χ202222222220000-2-2-2-2-2-2-2-2222200000000-2-2-2-2-2-2-2-200220020020000-2-2220000-2-2-2-2-2-2000022220000222200002200000000-2-2-2-2222200000000-2-2-2-20000000000
χ21222222222002222-2-20022-2-222000022220000222202000-200-2000-2-20-22-200220022-2-20022000000-2-200-2-200-2-2000000-2-2-2-200-2-222-2-20000222200000000000000
χ22222222222002222-2-200-2-2-2-222000022220000-2-2-2-2020002002000-2-202-2200-2-20022-2-200220000002200-2-20022000000-2-2-2-20022-2-2220000-2-2-2-200000000000000
χ2322222222200-2-222-2-20022-2-2220000-2-2-2-2000022220-20002002000220-22-200-2-20022-2-200-2-20000002200-2-20022000000222200-2-222-2-20000-2-2-2-200000000000000
χ2422222222200-2-222-2-200-2-2-2-2220000-2-2-2-20000-2-2-2-20-2000-200-20002202-2200220022-2-200-2-2000000-2-200-2-200-2-200000022220022-2-2220000222200000000000000
χ252222222222200-2-2220022-2-22222220000000022222000-200-200-2-2000-2-22220000-2-22222000000-2-20000-2-2-2-20000-2-2-2-2000000-2-2-2-2222222000000000000000000
χ262222222222200-2-22200-2-2-2-222222200000000-2-2-2-22000200200-2-200022-2-2-20000-2-22222000000220000-2-2220000-2-2-2-20000002222-2-2-2-2-2-2000000000000000000
χ27222222222-2-200-2-2220022-2-222-2-2-2-2000000002222-200020020022000-2-22-2-20000-2-222-2-2000000220000-2-22200002222000000-2-2-2-222-2-2-2-2000000000000000000
χ28222222222-2-200-2-22200-2-2-2-222-2-2-2-200000000-2-2-2-2-2000-200-2002200022-2220000-2-222-2-2000000-2-20000-2-2-2-2000022220000002222-2-22222000000000000000000
χ2922222-1-1-1-10000-2-2-2-2222222-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-100-2-2002002000022-2-20000-2-21111−i3i3−i3i31111−i3i3−i3i3-1-1-1-1−i3i3−i3i3-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-11111−i3−i3i3i3−i3−i3i3i311110000000000
χ3022222-1-1-1-10000-2-2-2-2222222-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-100-2-2002002000022-2-20000-2-21111i3−i3i3−i31111i3−i3i3−i3-1-1-1-1i3−i3i3−i3-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-11111i3i3−i3−i3i3i3−i3−i311110000000000
χ3122222-1-1-1-10000-2-2-2-222-2-222-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100-2-200-200-200002-2220000221111−i3i3−i3i31111i3−i3i3−i311-1-1i3−i3i3−i311−i3−i3i3i3−i3−i3i3i3-1-111-1-1-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-10000000000
χ3222222-1-1-1-10000-2-2-2-222-2-222-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100-2-200-200-200002-2220000221111i3−i3i3−i31111−i3i3−i3i311-1-1−i3i3−i3i311i3i3−i3−i3i3i3−i3−i3-1-111-1-1-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-10000000000
χ3322222-1-1-1-10000-2-2-2-2-2-22222-1-1−i3−i3i3i3i3i3−i3−i31111-1-1-1-1002200-200-20000-22-2-20000221111−i3i3i3−i3-1-1-1-1−i3i3i3−i311-1-1−i3i3i3−i311−i3−i3i3i3i3i3−i3−i311-1-11111−i3−i3i3i3i3i3−i3−i3-1-1-1-10000000000
χ3422222-1-1-1-10000-2-2-2-2-2-22222-1-1i3i3−i3−i3−i3−i3i3i31111-1-1-1-1002200-200-20000-22-2-20000221111i3−i3−i3i3-1-1-1-1i3−i3−i3i311-1-1i3−i3−i3i311i3i3−i3−i3−i3−i3i3i311-1-11111i3i3−i3−i3−i3−i3i3i3-1-1-1-10000000000
χ3522222-1-1-1-10000-2-2-2-2-2-2-2-222-1-1−i3−i3i3i3i3i3−i3−i31111111100220020020000-2-2220000-2-21111−i3i3i3−i3-1-1-1-1i3−i3−i3i3-1-1-1-1i3−i3−i3i3-1-1−i3−i3i3i3i3i3−i3−i31111-1-1-1-1i3i3−i3−i3−i3−i3i3i311110000000000
χ3622222-1-1-1-10000-2-2-2-2-2-2-2-222-1-1i3i3−i3−i3−i3−i3i3i31111111100220020020000-2-2220000-2-21111i3−i3−i3i3-1-1-1-1−i3i3i3−i3-1-1-1-1−i3i3i3−i3-1-1i3i3−i3−i3−i3−i3i3i31111-1-1-1-1−i3−i3i3i3i3i3−i3−i311110000000000
χ3722222-1-1-1-1002222-2-20022-2-2-1-1−i3−i3i3i3-1-1-1-1−i3−i3i3i3-1-1-1-102000-200-2000-2-20-22-2002200-1-111−i3i3-1-1−i3−i3i3i3i3−i311−i3i311i3−i311−i3i3i3i3−i3−i31111−i3i311-1-111−i3−i3i3i3-1-1-1-1−i3−i3i3i30000000000
χ3822222-1-1-1-1002222-2-20022-2-2-1-1i3i3−i3−i3-1-1-1-1i3i3−i3−i3-1-1-1-102000-200-2000-2-20-22-2002200-1-111i3−i3-1-1i3i3−i3−i3−i3i311i3−i311−i3i311i3−i3−i3−i3i3i31111i3−i311-1-111i3i3−i3−i3-1-1-1-1i3i3−i3−i30000000000
χ3922222-1-1-1-1002222-2-200-2-2-2-2-1-1−i3−i3i3i3-1-1-1-1−i3−i3i3i31111020002002000-2-202-2200-2-200-1-111−i3i3-1-1−i3−i3i3i3−i3i3-1-1i3−i311−i3i3-1-1i3−i3i3i3−i3−i31111−i3i3-1-111-1-1i3i3−i3−i31111i3i3−i3−i30000000000
χ4022222-1-1-1-1002222-2-200-2-2-2-2-1-1i3i3−i3−i3-1-1-1-1i3i3−i3−i31111020002002000-2-202-2200-2-200-1-111i3−i3-1-1i3i3−i3−i3i3−i3-1-1−i3i311i3−i3-1-1−i3i3−i3−i3i3i31111i3−i3-1-111-1-1−i3−i3i3i31111−i3−i3i3i30000000000
χ4122222-1-1-1-100-2-222-2-20022-2-2-1-1−i3−i3i3i31111i3i3−i3−i3-1-1-1-10-20002002000220-22-200-2-200-1-111−i3i311i3i3−i3−i3i3−i3-1-1i3−i311i3−i3-1-1i3−i3i3i3−i3−i3-1-1-1-1i3−i311-1-111−i3−i3i3i31111i3i3−i3−i30000000000
χ4222222-1-1-1-100-2-222-2-20022-2-2-1-1i3i3−i3−i31111−i3−i3i3i3-1-1-1-10-20002002000220-22-200-2-200-1-111i3−i311−i3−i3i3i3−i3i3-1-1−i3i311−i3i3-1-1−i3i3−i3−i3i3i3-1-1-1-1−i3i311-1-111i3i3−i3−i31111−i3−i3i3i30000000000
χ4322222-1-1-1-100-2-222-2-200-2-2-2-2-1-1−i3−i3i3i31111i3i3−i3−i311110-2000-200-20002202-22002200-1-111−i3i311i3i3−i3−i3−i3i311−i3i311−i3i311−i3i3i3i3−i3−i3-1-1-1-1i3−i3-1-111-1-1i3i3−i3−i3-1-1-1-1−i3−i3i3i30000000000
χ4422222-1-1-1-100-2-222-2-200-2-2-2-2-1-1i3i3−i3−i31111−i3−i3i3i311110-2000-200-20002202-22002200-1-111i3−i311−i3−i3i3i3i3−i311i3−i311i3−i311i3−i3−i3−i3i3i3-1-1-1-1−i3i3-1-111-1-1−i3−i3i3i3-1-1-1-1i3i3−i3−i30000000000
χ4522222-1-1-1-12200-2-2220022-2-2-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3-1-1-1-12000-200-200-2-2000-2-2222000011-1-1-1-1−i3i3i3i3−i3−i311i3−i3−i3i31111i3−i3−i3i31111i3i3−i3−i3−i3i31111-1-1-1-1-1-1−i3−i3i3i3i3i3−i3−i30000000000
χ4622222-1-1-1-12200-2-2220022-2-2-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3-1-1-1-12000-200-200-2-2000-2-2222000011-1-1-1-1i3−i3−i3−i3i3i311−i3i3i3−i31111−i3i3i3−i31111−i3−i3i3i3i3−i31111-1-1-1-1-1-1i3i3−i3−i3−i3−i3i3i30000000000
χ4722222-1-1-1-12200-2-22200-2-2-2-2-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i311112000200200-2-200022-2-2-2000011-1-1-1-1−i3i3i3i3−i3−i3-1-1−i3i3i3−i311-1-1−i3i3i3−i31111i3i3−i3−i3−i3i3-1-1-1-1111111i3i3−i3−i3−i3−i3i3i30000000000
χ4822222-1-1-1-12200-2-22200-2-2-2-2-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i311112000200200-2-200022-2-2-2000011-1-1-1-1i3−i3−i3−i3i3i3-1-1i3−i3−i3i311-1-1i3−i3−i3i31111−i3−i3i3i3i3−i3-1-1-1-1111111−i3−i3i3i3i3i3−i3−i30000000000
χ4922222-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ5022222-1-1-1-12222222222-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-111112222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111110000000000
χ5122222-1-1-1-122-2-22222-2-22222-1-1-1-1-1-111111111-1-1-1-12-2-2-22-2-22-2-222-2-2-222222-2-2-2-2-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111110000000000
χ5222222-1-1-1-122-2-22222-2-2-2-222-1-1-1-1-1-11111111111112-2-2-2-222-22222-2-2-2-2-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000
χ5322222-1-1-1-1-2-200-2-2220022-2-2-1-11111−i3−i3i3i3i3i3−i3−i3-1-1-1-1-200020020022000-2-22-2-2000011-1-111−i3i3−i3−i3i3i3-1-1i3−i3i3−i311-1-1i3−i3i3−i3-1-1-1-1i3i3−i3−i3i3−i31111-1-11111−i3−i3i3i3−i3−i3i3i30000000000
χ5422222-1-1-1-1-2-200-2-2220022-2-2-1-11111i3i3−i3−i3−i3−i3i3i3-1-1-1-1-200020020022000-2-22-2-2000011-1-111i3−i3i3i3−i3−i3-1-1−i3i3−i3i311-1-1−i3i3−i3i3-1-1-1-1−i3−i3i3i3−i3i31111-1-11111i3i3−i3−i3i3i3−i3−i30000000000
χ5522222-1-1-1-1-2-200-2-22200-2-2-2-2-1-11111−i3−i3i3i3i3i3−i3−i31111-2000-200-2002200022-222000011-1-111−i3i3−i3−i3i3i311−i3i3−i3i31111−i3i3−i3i3-1-1-1-1i3i3−i3−i3i3−i3-1-1-1-111-1-1-1-1i3i3−i3−i3i3i3−i3−i30000000000
χ5622222-1-1-1-1-2-200-2-22200-2-2-2-2-1-11111i3i3−i3−i3−i3−i3i3i31111-2000-200-2002200022-222000011-1-111i3−i3i3i3−i3−i311i3−i3i3−i31111i3−i3i3−i3-1-1-1-1−i3−i3i3i3−i3i3-1-1-1-111-1-1-1-1−i3−i3i3i3−i3−i3i3i30000000000
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χ1208-80008-800-444-40000-44000000-44-444-44-4-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-80008-800-44-4400004-4000000-44-44-44-444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8000-44−4i34i34-44-400004-4000000−2−2i32+2i3−2+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i32+2i3−2+2i32−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8000-44−4i34i34-4-440000-44000000−2−2i32+2i3−2+2i32−2i32+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i3−2+2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8000-44−4i34i3-444-40000-440000002+2i3−2−2i32−2i3−2+2i3−2−2i32+2i3−2+2i32−2i32+2i3−2−2i32−2i3−2+2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8000-44−4i34i3-44-4400004-40000002+2i3−2−2i32−2i3−2+2i32+2i3−2−2i32−2i3−2+2i3−2−2i32+2i3−2+2i32−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8000-444i3−4i34-44-400004-4000000−2+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i32+2i3−2+2i32−2i3−2−2i32+2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8000-444i3−4i34-4-440000-44000000−2+2i32−2i3−2−2i32+2i32−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i3−2−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8000-444i3−4i3-444-40000-440000002−2i3−2+2i32+2i3−2−2i3−2+2i32−2i3−2−2i32+2i32−2i3−2+2i32+2i3−2−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8000-444i3−4i3-44-4400004-40000002−2i3−2+2i32+2i3−2−2i32−2i3−2+2i32+2i3−2−2i3−2+2i32−2i3−2−2i32+2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).