Finite Group Databasebeta

← Group #72223501

Character table — Group #72223501

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size11112222224444444488888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616162020202020202020252525254040404050505050505080808080808080808080808080808080100100100100100100100100100100100100100100100100100100100100100100100100200200200200200200
order124422244455101020202020558810101010101010101010101020202020202020202020202020201010101020202020404040404040404040404040404040404040404040404040222244442244224422244410101010101010102020202020202020444444444444444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-1−i−iii
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1−i−iii
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1ii−i−i
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ1111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii11−i−iii
χ1211111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i11ii−i−i
χ1311111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11ii−i−i
χ1411111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11−i−iii
χ1511111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ1611111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1
χ1711-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1-1-111-111-1111-1111-1-1-11-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-1
χ1811-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-1-1-111-111-1111-1111-1-1-11-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-1-11-11
χ1911-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111-1-1111-1-11-11-111-11-1-11-1-1-1-1111ii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii-11i−i−ii
χ2011-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111-1-1111-1-11-11-111-11-1-11-1-1-1-1111−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i-11−iii−i
χ2111-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-111-1-11-1-11-1-11-111-11111-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-11−iii−i
χ2211-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-111-111-1-11-1-11-1-11-111-11111-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-11i−i−ii
χ2311-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-111-1-111-11-11-1-1-11-1-1-1111-111111-1-1-1-111-1-11111-1-111-1-111-1-11-1-11-11
χ2411-1-11-1-11-111111-1-1-1-1111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-111-1-111-11-11-1-1-11-1-1-1111-1111-1-11111-1-111-1-1-1-111-1-111-1-1111-11-11-1
χ2511-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-111-1-1-1-111-1-111-111-1-1-11-1-1-11-1111-11111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11
χ2611-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11-11-111-1-1-1-111-1-111-111-1-1-11-1-1-11-1111-111-1-111-1-111-1-111-1-11111-1-111-1-1-111-11-1
χ2711-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-11-1-111-111-111-1-11-11-1-1-1-11111-111-11-1-1ii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i1-1−iii−i
χ2811-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-11-1-111-111-111-1-11-11-1-1-1-11111-111-11-1-1−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii1-1i−i−ii
χ2911-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-1111-1-1111-1-11-1-11111-1-1-1-11-1-11-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i1-1i−i−ii
χ3011-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-1111-1-1111-1-11-1-11111-1-1-1-11-1-11-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii1-1−iii−i
χ3111-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-1111-1-111-1-1-1-111-11-1111-1111-11-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-111-11-1
χ3211-1-11-1-11-111111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-1111-1-111-1-1-1-111-11-1111-1111-11-1-1-11-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-11-11-11
χ3322222-2-2-22-222222222220022-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000000022220000-2-22-22-2000000000000000000002-22-22-22-2000000000000000000
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Here i is the imaginary unit (i² = −1).