Finite Group Databasebeta

← Group #72266338

Character table — Group #72266338

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222444488888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232646464646464646464646464
order12222222222222222222222222222222224444444444444444444422222222444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11-11-11-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11-11-11-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ11111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11-11-111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ12111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11-11-111-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-11-11-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-11-11-111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-111-11-1-11-1111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-111-11-1-11-1111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ171111-1-1-1-11111-1-1111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ181111-1-1-1-11111-1-1111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ191111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−ii−ii−i−ii−ii−ii−ii
χ201111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−ii−iii−ii−ii−ii−i
χ211111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i−ii−ii
χ221111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-111−i−iii−i−iiii−ii−i−ii−iii−ii−i
χ231111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ241111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ251111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-11-11-111-11-11-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111ii−i−i−i−iiii−i−iii−i−iii−i−ii
χ261111-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-11-11-111-11-11-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−iii−i−iii−i−iii−i
χ271111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-111-1-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiii−i−ii−iii−i−iii−i
χ281111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-111-1-11-111-1-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−iii−ii−i−iii−i−ii
χ291111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111-1-11-11-11-111-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii−iii−i
χ301111-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-111-1-11-11-11-111-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−ii−i−ii
χ311111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-111-11-11-11-1-11-11-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−iii−i−iii−ii−i−ii
χ321111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-111-11-11-11-1-11-11-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii−iii−i
χ332222222222222222-2-222220000222222-2-2-2-222-2-222-2-200002222-2-2-2-2002200000022000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ342222222222222222-2-222220000-2-2-2-222-2-2-2-222-2-222-2-20000-2-2-2-2-2-2-2-200-2-2000000-2-2000000000000222222220000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2000022-2-222-2-2-2-2-2-222-2-222000022-2-2-2-222002-20000002-2000000000000-2-2-2-222220000000000000000000000000000
χ362222222222222222-2-2-2-2-2-20000-2-22222-2-2-2-2-2-222-2-2220000-2-222-2-22200-22000000-220000000000002222-2-2-2-20000000000000000000000000000
χ3722222222222222-2-222222222220000-2-222-2-2-2-222-2-22222220000-2-2-2-22200000022000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ3822222222222222-2-2222222-2-2-2-20000-2-222-2-2-2-222-2-222-2-2-2-20000-2-2-2-2-2-2000000-2-200000022222222000000000000000000000000000000000000
χ3922222222222222-2-222-2-2-2-222-2-20000-2-222-2-222-2-222-2-222-2-20000-2-2222-20000002-2000000-2-2-2-22222000000000000000000000000000000000000
χ4022222222222222-2-222-2-2-2-2-2-2220000-2-222-2-222-2-222-2-2-2-2220000-2-222-22000000-220000002222-2-2-2-2000000000000000000000000000000000000
χ4122222222222222-2-2-2-2222200000000-2-2-2-222-2-2-2-2-2-2-2-200000000222200002222000022220000000000000000-2-2-2-2-2-2-2-200000000000000000000
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χ4322222222222222-2-2-2-2-2-2-2-200000000-2-2-2-222222222220000000022-2-200002-22-2000022-2-20000000000000000-2-2-2-2222200000000000000000000
χ4422222222222222-2-2-2-2-2-2-2-200000000-2-2-2-222222222220000000022-2-20000-22-220000-2-22200000000000000002222-2-2-2-200000000000000000000
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χ762222-2-22222-2-2-22-22-220000-2-200-2-2002-22-22-2000000002200-2-200-2200-202020-202020-22002-2-2200002-2-220000-222-2000000000000000000000000
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χ822222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2000022-2-2-2-2-2-22222-2-22222000022-2222000000-2-200000022-2-222-2-2000000000000000000000000000000000000
χ832222-2-2-2-22222-2-2-2-222-2-22222-2-2000022-2-2-2-222-2-2-2-222-2-2220000222-2-220000002-2000000-2-22222-2-2000000000000000000000000000000000000
χ842222-2-2-2-22222-2-2-2-222-2-222-2-222000022-2-2-2-222-2-2-2-22222-2-20000222-22-2000000-2200000022-2-2-2-222000000000000000000000000000000000000
χ852222-2-2-2-22222-2-2-2-2-2-222-2-200000000222222-2-2-2-2222200000000-2-22-2000022220000-2-2-2-20000000000000000-2-222-2-22200000000000000000000
χ862222-2-2-2-22222-2-2-2-2-2-222-2-200000000222222-2-2-2-2222200000000-2-22-20000-2-2-2-200002222000000000000000022-2-222-2-200000000000000000000
χ872222-2-2-2-22222-2-2-2-2-2-2-2-222000000002222222222-2-2-2-200000000-2-2-2200002-22-20000-2-2220000000000000000-2-22222-2-200000000000000000000
χ882222-2-2-2-22222-2-2-2-2-2-2-2-222000000002222222222-2-2-2-200000000-2-2-220000-22-22000022-2-2000000000000000022-2-2-2-22200000000000000000000
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χ9144444444-4-44-4-4-40000-44-44000000000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ9244444444-4-44-4-4-40000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ934444-4-4-4-4-4-44-44400004-4-44000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ944444-4-4-4-4-4-44-44400004-4-4400000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ954444-4-4-4-4-4-44-4440000-444-4000000000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ964444-4-4-4-4-4-44-4440000-444-400000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ97888888-8-8-8-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988888-8-888-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8008-80000000000000000004-44-40000004-4004-40000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-80000000000000000004-4-44000000-4400-440000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8008-8000000000000000000-444-4000000-4400-44000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8008-8000000000000000000-44-440000004-4004-4000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ1038-88-800-880000000000000000004-44-40000004-400-44000000-44-440000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-880000000000000000004-4-44000000-44004-4000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-88000000000000000000-444-4000000-44004-40000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-88000000000000000000-44-440000004-400-440000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-800000000000000004-44-40000000000004-4004-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-800000000000000004-4-44000000000000-4400-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-80000000000000000-444-4000000000000-4400-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-80000000000000000-44-440000000000004-4004-4-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-8800000000000000004-44-40000000000004-400-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-8800000000000000004-4-44000000000000-44004-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-880000000000000000-444-4000000000000-44004-44-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-880000000000000000-44-440000000000004-400-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ1151616-16-16000016-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1161616-16-160000-16160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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