Finite Group Databasebeta

← Group #72240545

Character table — Group #72240545

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1122222224444444444444488888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222444422222222224444222222222222444444422222224444444444444444444444444448888444444444444444488888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ311111111111111111111111111111111111111111111111-1-111111-1-111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111
χ51111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1111111-1-111-1-1
χ9111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i11-1-11-1i−iii−i−iii−i−iii−i−i1-1ii−i−i1-1i−i1-1i−i
χ10111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii11-1-11-1−ii−i−iii−i−iii−i−iii1-1−i−iii1-1−ii1-1−ii
χ11111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11111-11-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-111-11i−iii−i−iii−i−i−i−iii-11−i−iii-11−ii-11−ii
χ12111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11111-11-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-111-11−ii−i−iii−i−iiiii−i−i-11ii−i−i-11i−i-11i−i
χ13111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-111111111iiii−i−i−i−i−i−iii11-1-11-1−iiii−i−i−i−iiiii−i−i1-1ii−i−i-11−ii-11−ii
χ14111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-111111111−i−i−i−iiiiiii−i−i11-1-11-1i−i−i−iiiii−i−i−i−iii1-1−i−iii-11i−i-11i−i
χ15111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111iiii−i−i−i−i−i−iii-1-111-11−iiii−i−i−i−iii−i−iii-11−i−iii1-1i−i1-1i−i
χ16111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111−i−i−i−iiiiiii−i−i-1-111-11i−i−i−iiiii−i−iii−i−i-11ii−i−i1-1−ii1-1−ii
χ17111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-111-1-111-111-1-1111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ18111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-111-1-111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-111
χ19111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ20111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1
χ21111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-1-1-11111-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ22111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ23111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ24111111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1111-1-1111-1-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ25111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-1111-1-11-1111-1-11-1-1-1-1-11111iiii−i−i−i−iii−i−i-1-1111-1i−i−i−iii−i−iiiii−i−i-11−i−iii1-1i−i-11−ii
χ26111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-1111-1-11-1111-1-11-1-1-1-1-11111−i−i−i−iiiii−i−iii-1-1111-1−iiii−i−iii−i−i−i−iii-11ii−i−i1-1−ii-11i−i
χ27111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-1111-1-1-11111-1-1-11-1-1-1-11111iiii−i−i−i−iii−i−i11-1-1-11i−i−i−iii−i−iii−i−iii1-1ii−i−i-11−ii1-1i−i
χ28111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-1111-1-1-11111-1-1-11-1-1-1-11111−i−i−i−iiiii−i−iii11-1-1-11−iiii−i−iii−i−iii−i−i1-1−i−iii-11i−i1-1−ii
χ29111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-11-1-1111-11-1-1111-11111-1-1-1-1iiii−i−i−i−i−i−iii-1-1111-1−ii−i−iiiii−i−iii−i−i-11−i−iii-11−ii1-1i−i
χ30111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-11-1-1111-11-1-1111-11111-1-1-1-1−i−i−i−iiiiiii−i−i-1-1111-1i−iii−i−i−i−iii−i−iii-11ii−i−i-11i−i1-1−ii
χ31111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-11-1-111-111-1-111-111111-1-1-1-1iiii−i−i−i−i−i−iii11-1-1-11−ii−i−iiiii−i−i−i−iii1-1ii−i−i1-1i−i-11−ii
χ32111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-11111-111-1-1-1-1-11-1-111-111-1-111-111111-1-1-1-1−i−i−i−iiiiiii−i−i11-1-1-11i−iii−i−i−i−iiiii−i−i1-1−i−iii1-1−ii-11i−i
χ3322222222222222222-2-222-2-2-2-222-2-2-222-2-22-2-2-2-22-22200002-2-200002-20000000000000000000022-2-2-2200000000000000-22000000000000
χ3422222222222222222-2-222-2-2-2-222-2-2-222-2-22-2-2-2-22-2220000-22-20000-2200000000000000000000-2-2222-2000000000000002-2000000000000
χ35222222222222222-2-2222222-2-222-2-22-2-222-2-2-2-2-2-22-2-20000222000022000000000000000000002222-2-200000000000000-2-2000000000000
χ36222222222222222-2-2222222-2-222-2-22-2-222-2-2-2-2-2-22-2-20000-2-220000-2-200000000000000000000-2-2-2-2220000000000000022000000000000
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χ382222222222222-2-22222-2-2222-2-2-222-22222-22-2-2-22-2-2-2000000-200000000000000-2-222-2-222000000000000-22-220000000000000000000000
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χ45222222222-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2222-2-2222-22-200002-2200002-200000000000000000000-2-222-22000000000000002-2000000000000
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χ47222222222-2-2-2-222-2-2222222-2-2-2-222222-2-2-2-2-222-22-22000022-200002200000000000000000000-2-2-2-2-2-20000000000000022000000000000
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χ10588-88-888-8-800008-80000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-888-8-80000-8800008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10716-1600000000000008-800000000000000000000000000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000
χ10816-1600000000000008-80000000000000000000000000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000
χ10916-160000000000000-8800000000000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000
χ11016-160000000000000-880000000000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).