Finite Group Databasebeta

← Group #12306708

Character table — Group #12306708

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222244444444448888888888888888888888888888888888888888888888101010101616161616161616161616162020202020202020202040404040404040404040
order1222222255101010101010101010101010101022444444442444444444101010102020202020202020202020202020202020202020202020202020202020202020222210102020202020202020202022444444442444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-11-11-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1
χ41111111111111111111111111111111111-11-11-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111
χ51111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-1
χ61111111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-111-1-1111-1-1
χ911111111111111111111111111-1-111-1-1-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-1-111-111-1-11-1
χ1011111111111111111111111111-1-111-1-1-1-111-1-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111111-1-11-1-111-11
χ1111111111111111111111111111-1-111-1-1-1-1-111-1-111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-11
χ1211111111111111111111111111-1-111-1-1-1-1-111-1-111-11-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-11-1
χ1311111111111111111111111111-1-1-1-111111-11-11-1-1-11-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1-1-11
χ1411111111111111111111111111-1-1-1-111111-11-11-1-1-11-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-111-1111-1
χ1511111111111111111111111111-1-1-1-11111-1-1-1-1-1111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1111-1
χ1611111111111111111111111111-1-1-1-11111-1-1-1-1-1111-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-11
χ17111111111111111111111111-1-1111111-1-11-11-1-11-1-1-11-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-11-11-11-11-1-1-1
χ18111111111111111111111111-1-1111111-1-11-11-1-11-1-1-11-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-11-11-11-1111
χ19111111111111111111111111-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-11-1111
χ20111111111111111111111111-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111-11-1-1-1
χ21111111111111111111111111-1-111-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-111-1-1-11-111
χ22111111111111111111111111-1-111-1-1-1-11111-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-11-1-1111-11-1-1
χ23111111111111111111111111-1-111-1-1-1-111-111-11-11-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-1
χ24111111111111111111111111-1-111-1-1-1-111-111-11-11-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-111
χ25111111111111111111111111-1-1-1-111-1-1111-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-111-1-1111-1-11-11
χ26111111111111111111111111-1-1-1-111-1-1111-1-11-1-11-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-111-1-111-1-1-111-11-1
χ27111111111111111111111111-1-1-1-111-1-111-1-11111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1111-1-11-111-11-1
χ28111111111111111111111111-1-1-1-111-1-111-1-11111-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-111-11-1-11-11
χ29111111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1
χ30111111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-1111-1-11
χ31111111111111111111111111-1-1-1-1-1-111-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-111-1-1-11-11111-1-11
χ32111111111111111111111111-1-1-1-1-1-111-1-1-11-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1111-11-1-1-1-111-1
χ3322222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ3422222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222-22-22-2-2-2-2-2-2−1+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+5200000000000000000000
χ3522222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2-22-2-22222-2-2-2−1+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+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52−1+52−1−521−521+521−521+521−521+5200000000000000000000
χ3622222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2-2-2-222-2-2-2222−1+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+5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ3722222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2-2-222-2-22-2-22-22−1+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+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+5200000000000000000000
χ3822222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2-2-2-222-2-222-22-2−1+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+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+521−521+521−521+52−1+52−1−5200000000000000000000
χ3922222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222222-22-22-2-2-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−5200000000000000000000
χ4022222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-22222-2-2-2-2-2222-22−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+5200000000000000000000
χ4122222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222222-2-22-22-2-22-2-2-221−521−521+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+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200000000000000000000
χ4222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222222-2-2-2-2-2-22-2222-21−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4322222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-22222-2-2-22-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ4422222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-2-222-222-22-22-2-221−521−521+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+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+52−1+52−1−521−521+521−521+5200000000000000000000
χ4522222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-2222-2-22-2-22-2221−521−521+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+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−5200000000000000000000
χ4622222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222-2-222-2-22222-22-2-21−521−521+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+5200000000000000000000
χ4722222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222-2-22222-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000000000000000000
χ4822222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222-2-2-22-2222-2-2221−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−5200000000000000000000
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χ11288-88-8-88-8−2−25−2+25−2−25−2+252+25−2−252+252−25−2+252−252+252+252−252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-88-8-88−2+25−2−25−2+25−2−252−252−25−2+252+252+25−2−25−2+252−25−2−252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-88-8-88−2−25−2+25−2−25−2+252+252+25−2−252−252−25−2+25−2−252+25−2+252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8888-8-8-8−2+25−2−252−252+25−2+25−2+25−2+25−2−25−2−25−2−252−252−252+252+252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8888-8-8-8−2−25−2+252+252−25−2−25−2−25−2−25−2+25−2+25−2+252+252+252−252−252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.