Finite Group Databasebeta

← Group #12992796

Character table — Group #12992796

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113
size1111222222222222444444444444444444444444444448888888888888888888888888888881616161616161616161616161616161620202020202020202020202040404040404040404040
order1222444455101010101010244444444202020202020202020202020202020202020202022444488881010101010102020202020202020202020202020101020202020202040404040404040402244444488882222444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-11-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111-11-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ5111111111111111111111-1-1-1-111111111111111111111-11-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-111111111111111111111-11-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ7111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-11-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111111-11-11-11-1-1-1
χ1011111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-11-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-11-11-11-1111
χ1111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-11-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-11-1-111-1-1111
χ1211111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-11-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1111111-111-1-111-1-1-1
χ1311111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-11-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-111-1-111-111
χ1411111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11-1-11-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-11-1-11111111-1-111-1-11-1-1
χ1511111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11-11-111-1-11111-11-11-11-11-1-1
χ1611111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1-1-11-11-11-11-111
χ171111-1-11111111111-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-11-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-111-1-11-1-111-11-111-1-11-1-1-1-11111-1
χ181111-1-11111111111-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-1-11-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-111-1-1-111-1-11-11-1-111-11111-1-1-1-11
χ191111-1-11111111111-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-1111-1-111-11-1-1-1111-111-11-1-1-11
χ201111-1-11111111111-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111-1-111-111-1-11-1111-1-1-11-1-11-1111-1
χ211111-1-11111111111-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-111-11-1-1-111-11-1-11-111-11
χ221111-1-11111111111-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-111-1-11-1111-1-11-111-11-1-11-1
χ231111-1-11111111111-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11-1-111-11-111-1-1-11111-1-1-11-1
χ241111-1-11111111111-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-111-1-11-11-1-1111-1-1-1-1111-11
χ251111-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11-1-1111-1-111-11-1-11-1-11
χ261111-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1111111111111-1111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-111-1-1-111-1-11-111-111-1
χ271111-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-11-1-11-1-111111-1-1-1-111-1
χ281111-1-11111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-111-111-1-1-1-1-11111-1-11
χ291111-1-11111111111-1-11-11-1-111-1-1-1-1-1-1-1-111111111111111-11-1-11-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-11-1-11-1-111-1-1-11111-11-1
χ301111-1-11111111111-1-11-11-1-111-1-1-1-1-1-1-1-111111111111111-11-1-11-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-111-111-1-1111-1-1-1-11-11
χ311111-1-11111111111-1-11-11-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-1-1111-1-1-1-11-111-11-11
χ321111-1-11111111111-1-11-11-1-111-1-1-1-1-1-1-1-11111111111111-1-1-111-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-111-1-1-11111-11-1-11-11-1
χ3322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222222−1+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+52−1−52−1−522222222222−1+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
χ3422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222222−1+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+52−1−52−1−522-22-2-2-2-2-2-2-2−1+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+520000000000000000000000
χ3522222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222-2-2-2-2−1+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+52−1−52−1−52-22-2222-2-2-2-2−1+52−1−521−521−521+521+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+520000000000000000000000
χ3622222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222222-2-2-2-2−1+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+52−1−52−1−52-2-2-2-2-2-22222−1+52−1−521−521−521+521+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+52−1−520000000000000000000000
χ3722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222-2-22-22-22-2−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ3822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-22-22-22-22−1+52−1−52−1+52−1+52−1−52−1−521−521+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+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ3922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-222-22-2-22-22−1+52−1−521−521−521+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+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
χ4022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-222-222-22-2−1+52−1−521−521−521+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+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ4122222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222222−1−52−1−52−1+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+522222222222−1−52−1+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
χ4222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222222−1−52−1−52−1+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+522-22-2-2-2-2-2-2-2−1−52−1+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+521−520000000000000000000000
χ4322222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222-2-2-2-2−1−52−1−52−1+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+52-22-2222-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+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+521−520000000000000000000000
χ4422222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222222-2-2-2-2−1−52−1−52−1+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+52-2-2-2-2-2-22222−1−52−1+521+521+521−521−52−1−52−1+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+520000000000000000000000
χ4522222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5222-2-22-22-22-2−1−52−1+52−1−52−1−52−1+52−1+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+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ4622222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-22-22-22-22−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ4722222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-222-22-2-22-22−1−52−1+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+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000000000
χ4822222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-222-222-22-2−1−52−1+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+52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000000000
χ49222222-2-222222222-22-2-2200002222222222-2-222-2-2-2-2-2-20000000000-2-20000-2-2000000000000000000000000000022-2-2-222-200000000000000
χ50222222-2-222222222-22-2-2200002222222222-2-222-2-2-2-2-2-20000000000-2-20000-2-20000000000000000000000000000-2-2222-2-2200000000000000
χ51222222-2-222222222-2-222-200002222-2-2-2-2-2-222-2-222-2-2-2-20000000000-2-200002200000000000000000000000000002-2-22-22-2200000000000000
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χ10588-8-88i−8i00−2+25−2−25−2+252−252−25−2−252+252+25000000000−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88i−8i00−2−25−2+25−2−252+252+25−2+252−252−25000000000−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8−8i8i00−2+25−2−25−2+252−252−25−2−252+252+250000000004ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8−8i8i00−2−25−2+25−2−252+252+25−2+252−252−250000000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88000088-8-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-880000−2+25−2−252−252−25−2+252+252+25−2−250000000000000−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-880000−2+25−2−252−252−25−2+252+252+25−2−2500000000000004ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-880000−2−25−2+252+252+25−2−252−252−25−2+2500000000000004ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-880000−2−25−2+252+252+25−2−252−252−25−2+250000000000000−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000

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