Finite Group Databasebeta

← Group #72260690

Character table — Group #72260690

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222444444444444888888888888888888881616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222224444442222222222222444444422222244444444444444444424444444444444444444488888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-11-1-1-1-1-1-1-1-111111-111-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-11-1-1-1-1-1-1-1-111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-11111-111111111-111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i
χ1011111111111111-1-1-1-1-1-1-1-11111-111111111-111-1-1-1-11-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-111-11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ1111111111111111-1-1-1-1-1-1-1-11111-111111111-111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ1211111111111111-1-1-1-1-1-1-1-11111-111111111-111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-111-111-1-111111111-11-11-11-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-111-111-1-111111111-11-11-11-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-111-111-1-11111-1-1-1-11-11-11-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-111-111-1-11111-1-1-1-11-11-11-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii
χ17111111111111-1-111-1-11111111-111111-1-1-1-1-1111111-1-11111-1-1-111-1-1-11111-1-111-1-111-1-1-1-1-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ18111111111111-1-111-1-11111111-111111-1-1-1-1-1111111-1-11111-1-1-111-1-1-11111-1-111-1-111-1-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-11-11
χ19111111111111-1-111-1-11111111-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-11111-1-11-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ20111111111111-1-111-1-11111111-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-11111-1-11-11-11-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1
χ21111111111111-1-111-1-11111111-11-1-1-1-11111-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-11111-1-11-1111-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ22111111111111-1-111-1-11111111-11-1-1-1-11111-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-11111-1-11-11-1-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ23111111111111-1-111-1-11111111-11-1-1-1-11111-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1111-1-11-111-11-111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ24111111111111-1-111-1-11111111-11-1-1-1-11111-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1111-1-11-111-11-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11
χ25111111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1-111111-1-11-1-111111-1-11111-1-1-1-11-1-11-1-111-1-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ26111111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1-111111-1-11-1-111111-1-11111-1-1-1-11-1-11-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ27111111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-11-1-111111-1-111-1-11111-111-1-11-1-111-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−iii−i
χ28111111111111-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-11-1-111111-1-111-1-11111-111-1-11-1-111-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ29111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-111-1-1-111-11-11-11-111-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−iii−i
χ30111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-111-1-1-111-11-11-11-111-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiii−i−ii
χ31111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1111-1-11-1111-11-1-11ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ32111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1111-1-11-1111-11-1-11−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i
χ332222222222222222-2-2-2-2-2-22-2-22222222222-2-2-22-2-22220000-2-2-2-2-22-2-2-2-222220000000000-20000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-22-2-222-2-2-2-2-2-2-2-2-2-2-22-2-22220000-2-2-22222222-2-2-2-2000000000020000000000000000000000000000000000
χ3522222222222222-2-22222222-2-22-2222222222-2-2-222-22-20000-2-2222-222-2-2-2-2-2-20000000000-20000000000000000000000000000000000
χ3622222222222222-2-22222222-2-22-2-2-2-2-2-2-2-2-22-2-2-222-22-20000-2-22-2-2-2-2-2222222000000000020000000000000000000000000000000000
χ37222222222222-2-22222-2-2-2-22-2-2-222222-2-2-2-22-2-22-2-22-2-20000222-2-2-222-2-222-2-2000000000020000000000000000000000000000000000
χ38222222222222-2-22222-2-2-2-22-2-2-22-2-2-2-222222-2-22-2-22-2-2000022222-2-2-222-2-2220000000000-20000000000000000000000000000000000
χ39222222222222-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22000022-2222-2-2-2-2-2-222000000000020000000000000000000000000000000000
χ40222222222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22000022-2-2-22222222-2-20000000000-20000000000000000000000000000000000
χ412222222222-2-22222222222-2-2-22200000000222-2-2-2-2-222200-22-200-200000000-2-22220-2-2000-2200000000000000000000000000000000
χ422222222222-2-22222222222-2-2-22200000000222-2-2-2-2-22-2-200-22-200-20000000022-2-2-20220002-200000000000000000000000000000000
χ432222222222-2-22222-2-2-2-2-2-2-2222200000000-2-2-2-222-2-2200222-2200-20000000000000-200-22000-222-20000000000000000000000000000
χ442222222222-2-22222-2-2-2-2-2-2-2222200000000-2-2-2-222-2-2200-2-22-2200-200000000000002002-20002-2-220000000000000000000000000000
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χ522222222222-2-2-2-222-2-22222-2-2-2-2200000000-222-2-2-2-22-2-2-2002-22002000000002222-20-2-20002200000000000000000000000000000000
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χ582222-2-2-222-2-2-20022002-22-222-20-222-2-2000002-2-22-220000000002-20002-22-2000000000000000000000-2200-220000000000-2200-220000
χ592222-2-2-222-2-2-20022002-22-222-20-2-2-222000002-2-22-22000000000-22000-22-220000000000000000000002-2002-20000000000-2200-220000
χ602222-2-2-222-2-2-20022002-22-222-20-2-2-222000002-2-22-22000000000-22000-22-22000000000000000000000-2200-2200000000002-2002-20000
χ612222-2-2-222-2-2-2002200-22-222-220-222-2-200000-22-2-222000000000-22000-222-200000000000000000002-2002-200000000002-2002-2000000
χ622222-2-2-222-2-2-2002200-22-222-220-222-2-200000-22-2-222000000000-22000-222-20000000000000000000-2200-220000000000-2200-22000000
χ632222-2-2-222-2-2-2002200-22-222-220-2-2-22200000-22-2-2220000000002-20002-2-2200000000000000000002-2002-20000000000-2200-22000000
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χ7544444-4-4-4-44004400-4-4-4-444000-400000000040000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
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χ8044444-4-4-4-4400-4-400-4-444-4-400040000000004000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ814444-4-4-444-4440044004-44-4-4-440-40000000004-44-44-400000000000000000000000000000000000000000000000000000000000000000
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χ9188-8-8-800008008-800000000000004-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-800008008-80000000000000-444-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-80000800-8800000000000004-4-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-80000800-880000000000000-444-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-80-880000000000000000000000004-44-4000000000004-400000000000000004-400000000000000000000000000000000000000000
χ968-88-80-880000000000000000000000004-44-400000000000-440000000000000000-4400000000000000000000000000000000000000000
χ978-88-80-88000000000000000000000000-44-44000000000004-40000000000000000-4400000000000000000000000000000000000000000
χ988-88-80-88000000000000000000000000-44-4400000000000-4400000000000000004-400000000000000000000000000000000000000000
χ998-8-880008-8000008-80000000000000004-4-4400000000000000000000000004-4000000000000000000000000000000000000000000000
χ1008-8-880008-8000008-8000000000000000-444-40000000000000000000000000-44000000000000000000000000000000000000000000000
χ1018-8-880008-800000-880000000000000004-4-440000000000000000000000000-44000000000000000000000000000000000000000000000
χ1028-8-880008-800000-88000000000000000-444-400000000000000000000000004-4000000000000000000000000000000000000000000000
χ1038-8-88000-8808-8000000000000000000000000000000004-400000000000000004-40000000000000000000000000000000000000000000
χ1048-8-88000-8808-800000000000000000000000000000000-440000000000000000-440000000000000000000000000000000000000000000
χ1058-8-88000-880-88000000000000000000000000000000004-40000000000000000-440000000000000000000000000000000000000000000
χ1068-8-88000-880-8800000000000000000000000000000000-4400000000000000004-40000000000000000000000000000000000000000000
χ10716-1616-16016-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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