Finite Group Databasebeta

← Group #72313203

Character table — Group #72313203

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222224444444444444444444488888888888888888888161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order12442224442222222222444444444422222222224444444444222222444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4111111111111111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ911111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1211111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1311111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1411111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1511111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1611111111111111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ171111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11-11-1111-11-11111-1-111-1-111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11-11-1111-11-11111-1-111-1-111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11-11-1-1-11-11-1-1-111-1-111-1-1-1-11111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ201111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-11-11-1-1-11-11-1-1-111-1-111-1-1-1-11111-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ211111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-11-1111-11-1111-1-111-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ221111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-11-1111-11-1111-1-111-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ231111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-11-11-1-1-11-11-1-1-1-111-1-111-1-1111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ241111111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-1111-1-1-1-11-11-1-1-11-11-1-1-1-111-1-111-1-1111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ251111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111-1-11111-1-111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ261111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111-1-11111-1-111111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ271111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111-1-11-1-11-1-11-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ281111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-11111-1-11-1-11-1-11-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ291111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-111-111-111-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ301111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-111-111-111-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ311111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-111-1-1-1-111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ321111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1111-111-1-1-1-111-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
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χ3622222222222222-2-222-2-2222222-2-2-2-2-2-2-2-2-222-222-2-2-2-2-222-222-2-22200-2-222002222-2-2-2-20000000000000000000000000000000000000000000000
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χ924444-4-444-4-44-4-4400-4400-444-4-44000000000000000000000000000000000000-44-4400000000000000000000000000000000000000000000000000
χ934444-4-444-4-4-444-400-4400-44-444-40000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000
χ944444-4-444-4-4-444-400-4400-44-444-4000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000
χ954444-4-444-4-4-44-44004-4004-4-44-4400000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000
χ964444-4-444-4-4-44-44004-4004-4-44-440000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000
χ9744-4-4-4-44-4444-44-4004-400-44-44-4400000000000000000000000000440000-4-400000000000000000000000000000000000000000000000000000000
χ9844-4-4-4-44-4444-44-4004-400-44-44-4400000000000000000000000000-4-400004400000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-44-4444-4-4400-44004-4-444-4000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000000000000
χ10044-4-4-4-44-4444-4-4400-44004-4-444-4000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000000000000
χ10144-4-4-4-44-444-444-400-44004-44-4-440000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000000000
χ10244-4-4-4-44-444-444-400-44004-44-4-44000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000000000
χ10344-4-4-4-44-444-44-44004-400-444-44-4000000000000000000000000004-40000-4400000000000000000000000000000000000000000000000000000000
χ10444-4-4-4-44-444-44-44004-400-444-44-400000000000000000000000000-4400004-400000000000000000000000000000000000000000000000000000000
χ10588888-8-8-88-8000000008-8000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688888-8-8-88-800000000-8800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078888-88-8-8-8800008-800000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088888-88-8-8-880000-880000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-88-8-88-88000000008-800000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-88-8-88-8800000000-88000000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-88-888-800008-80000000000-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-888-80000-8800000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11316-1616i−16i000000000000000000000000000000000000000000000000004-400004i−4i000000000000000000000000000000000000000000000000000000
χ11416-1616i−16i00000000000000000000000000000000000000000000000000-440000−4i4i000000000000000000000000000000000000000000000000000000
χ11516-16−16i16i000000000000000000000000000000000000000000000000004-40000−4i4i000000000000000000000000000000000000000000000000000000
χ11616-16−16i16i00000000000000000000000000000000000000000000000000-4400004i−4i000000000000000000000000000000000000000000000000000000

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