Finite Group Databasebeta

← Group #14510013

Character table — Group #14510013

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size11222222222222222224444444444444444444444444446666666666888888888888121212121212121212121212121212202020202020202020202020606060601122222222222222222444444444444444444444444444666666666688888888888812121212121212121212121212121220202020202020202020202060606060
order1222234444556101020202020666101010101010121212121515202020202020303060606060884040404040404040303030303030606060606060888404040404040404040404040222466666612122224222226444410106101020202020666101010101010121212123030202020202020303060606060884040404040404040303030303030606060606060888404040404040404040404040222466666612122224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-111111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ8111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-1111-1-111-1-111111111111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-111-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ1011-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-1111-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-11111111111111111-1-111-1-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ1111-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111111-1-1-1-111111-11-111-1-111-1-1-11-1111-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111111-1-1-1-111111-11-111-1-111-1-1-11-11
χ1211-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111111-1-1-1-11111-11-11-1-111-1-1111-11-111-11-11-11-11111111111-11-1-1-111-1-11-11-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ1311-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-1111-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ1411-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-111-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ1511-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111111-1-1-1-11-1-1111-1-1-1-111-111-111-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ1611-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111111-1-1-1-1-111-1-1-11111-1-11-1-1111-1-111-1-111111111111-1-11-1-1-1-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ172222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000002222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+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+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ182222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+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+52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000002222222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+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+52-2-2-21+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ192222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000002222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ202222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+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+52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000002222222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+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+52−1−52-2-2-21−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ2122222-1222222-1222222-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000002222-1-1-1-1-1-1-1-1000022222-1222222-1222222-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000002222-1-1-1-1-1-1-1-10000
χ2222222-1222222-1222222-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-211111111000022222-1222222-1222222-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-2111111110000
χ232222-22-2-22-222222-2-2-2-222-22222-2-2-2-2-2222-2-2-2-22222-2-2-2-200000000002222-2-2-2-2-2-22200000000000000000000000000000002222-22-2-22-222222-2-2-2-222-22222-2-2-2-2-2222-2-2-2-22222-2-2-2-200000000002222-2-2-2-2-2-2220000000000000000000000000000000
χ242222-22-2-22-2−1−52−1+522−1−52−1+521+521+521−521−5222-2−1−52−1+52−1−52−1+521+521−52-2-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000000000002222-22-2-22-2−1−52−1+522−1−52−1+521+521+521−521−5222-2−1−52−1+52−1−52−1+521+521−52-2-2-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.