Finite Group Databasebeta

← Group #12159381

Character table — Group #12159381

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222222222222222444444444444444444888888888888888888888888888888888888888888888888161616161616161620202020202020202020202020202020404040408080
order1222222244444444551010101010101010101010101010442020202020202020202020202020202022444444888810101010101010102020202020202020202020204040404040404040404040404040404020202020202020204444444488888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ41111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ511111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ911111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111-1-1-11-1
χ1011111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-11
χ1111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1111-1
χ1211111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-11111-11-1-1-11
χ1311111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-11-1-1-1-11
χ1411111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1
χ1511111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-111-11
χ1611111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-11-1-11-1
χ172222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ182222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+520000000000000000000000
χ192222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-2-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ202222222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-222221−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000000
χ212222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ222222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−520000000000000000000000
χ232222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-222-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ242222222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-222221+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000000
χ25222222222222-2-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-200000000000000000000-2-2-2-2000000000000000000000000000000002222000000000000-2-20000
χ26222222222222-2-2-2-22222222222222222-2-2-2-2-2-222222222-2-2-2-200000000000000000000-2-2-2-200000000000000000000000000000000-2-2-2-2000000000000220000
χ2722222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ2822222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-2-2-222-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ2922222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-22222-2-2-2-2221−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000000
χ3022222222-2-2-2-22222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-2222222-2-21−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000000
χ3122222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522222-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ3222222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-2-2-222-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ3322222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-22222-2-2-2-2221+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000
χ3422222222-2-2-2-22222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2-2-2222222-2-21+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000022220000000000000000000000000000000022-2-2000000000000-220000
χ3622222222-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000000000000000-2-2220000000000002-20000
χ3722-222-2-2-222-2-20000222-2-22-2-2-2-2-2-2222200000022-2-222-2-20000000000002−22−20000000000000000000022−2−222−2−222−2−222−2−2000000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i2000000
χ3822-222-2-2-222-2-20000222-2-22-2-2-2-2-2-2222200000022-2-222-2-20000000000002−22−20000000000000000000022−2−222−2−222−2−222−2−200000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i2000000
χ3922-222-2-2-222-2-20000222-2-22-2-2-2-2-2-2222200000022-2-222-2-2000000000000−22−2200000000000000000000−2−222−2−222−2−222−2−222000000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2000000
χ4022-222-2-2-222-2-20000222-2-22-2-2-2-2-2-2222200000022-2-222-2-2000000000000−22−2200000000000000000000−2−222−2−222−2−222−2−22200000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2000000
χ4122-222-2-2-2-2-2220000222-2-22-2-2-2-2-2-22222000000-2-222-2-2220000000000002−2−220000000000000000000022−2−222−2−2−2−222−2−222000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2000000
χ4222-222-2-2-2-2-2220000222-2-22-2-2-2-2-2-22222000000-2-222-2-2220000000000002−2−220000000000000000000022−2−222−2−2−2−222−2−22200000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2000000
χ4322-222-2-2-2-2-2220000222-2-22-2-2-2-2-2-22222000000-2-222-2-222000000000000−222−200000000000000000000−2−222−2−22222−2−222−2−2000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2000000
χ4422-222-2-2-2-2-2220000222-2-22-2-2-2-2-2-22222000000-2-222-2-222000000000000−222−200000000000000000000−2−222−2−22222−2−222−2−200000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2000000
χ4522-2-2-22-220000-22-222222-222-22-22-2-2-2-2-200-2-2-2-200000000222200002i−2i0000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000022-2-22i−2i2i−2i0000000000
χ4622-2-2-22-220000-22-222222-222-22-22-2-2-2-2-200-2-2-2-200000000222200002i−2i0000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000-2-222−2i2i−2i2i0000000000
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χ1224-4-4-44-4440000-4-444−1+5−1−51−51−51−51+51+51+5−1+5−1+5−1−5−1−51−51+5−1+5−1−5001−5−1+51+5−1−500000000−1+51−5−1−51+5-4400000000001−5−1+51−5−1+51+5−1−51+5−1−50000000000000000000000000000000000000000000000000000000000
χ1234-4-4-44-4440000-4-444−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+5001+5−1−51−5−1+500000000−1−51+5−1+51−54-40000000000−1−51+5−1−51+5−1+51−5−1+51−50000000000000000000000000000000000000000000000000000000000
χ1244-4-4-44-4440000-4-444−1−5−1+51+51+51+51−51−51−5−1−5−1−5−1+5−1+51+51−5−1−5−1+5001+5−1−51−5−1+500000000−1−51+5−1+51−5-4400000000001+5−1−51+5−1−51−5−1+51−5−1+50000000000000000000000000000000000000000000000000000000000
χ125888-8-8-88-800000000−2+25−2−25−2+252−25−2+25−2−252+25−2−252−25−2+252+25−2−252−252+252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ126888-8-8-88-800000000−2−25−2+25−2−252+25−2−25−2+252−25−2+252+25−2−252−25−2+252+252−252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-888-8-800000000−2+25−2−252−25−2+25−2+252+25−2−25−2−252−252−252+252+252−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-888-8-800000000−2−25−2+252+25−2−25−2−252−25−2+25−2+252+252+252−252−252+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.