Finite Group Databasebeta

← Group #72266829

Character table — Group #72266829

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1122222224444444444888888888888888881616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323264646464646464646464
order12222222222222222222222222224444444422222222444444444444444444444444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ41111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111
χ91111111111111111111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ101111111111111111111111-1-1-1-111111-1-1-1-1111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ111111111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ121111111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-111
χ131111111111111111111111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ141111111111111111111111-1-1-1-111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ151111111111111111111111-1-1-1-111111-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ161111111111111111111111-1-1-1-111111-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ17222222222222-2-2-2-222222-200002-2-2-2-20000-222002-20022002-2000000-2-2-2-200002-2000000000022-2-2000000000000000000
χ18222222222222-2-2-2-222222-200002-2-2-2-20000-22200-22002200-22000000-2-2-2-20000-220000000000-2-222000000000000000000
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χ20222222222222-2-2-2-222222-200002-2-2-2-20000-2-2-200-2200-2-200-2200000022220000-22000000000022-2-2000000000000000000
χ2122222222222-2222222-2-2-2-22222-2-222-22222-20000222200002222-2-2-2-200000000-2-20000-2-200000000000000000000000000
χ2222222222222-2222222-2-2-2-22222-2-222-22222-20000-2-2-2-20000-2-2-2-2-2-2-2-2000000002200002200000000000000000000000000
χ2322222222222-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2000022-2-2000022-2-2222200000000-2-200002200000000000000000000000000
χ2422222222222-2222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-20000-2-2220000-2-222222200000000220000-2-200000000000000000000000000
χ2522222222222-2-2-2-2-222-2-2-220000-22-2-220000200222-20000222-20000000000-2-2-2-2-220000000000000022-2-200000000000000
χ2622222222222-2-2-2-2-222-2-2-220000-22-2-22000020022-22000022-220000000000-2-2-2-22-200000000000000-2-22200000000000000
χ2722222222222-2-2-2-2-222-2-2-220000-22-2-220000200-2-22-20000-2-22-200000000002222-2200000000000000-2-22200000000000000
χ2822222222222-2-2-2-2-222-2-2-220000-22-2-220000200-2-2-220000-2-2-22000000000022222-20000000000000022-2-200000000000000
χ29222222222-2-222222-2-222-2222-2-2-22-2-2-222-2-2-2000000000000000022-2-2000000000000000022-2-2000000000000002-2000000
χ30222222222-2-222222-2-222-2222-2-2-22-2-2-222-2-2-2000000000000000022-2-20000000000000000-2-22200000000000000-22000000
χ31222222222-2-222222-2-222-22-2-222-22-2-2-2-2-222-20000000000000000-2-222000000000000000022-2-200000000000000-22000000
χ32222222222-2-222222-2-222-22-2-222-22-2-2-2-2-222-20000000000000000-2-2220000000000000000-2-222000000000000002-2000000
χ33222222222-2-2-22222-2-2-2-22-222-2-22-2-2-2222-2-220000000000000000-2-222000000000022-2-20000000000000000002-200000000
χ34222222222-2-2-22222-2-2-2-22-222-2-22-2-2-2222-2-220000000000000000-2-2220000000000-2-222000000000000000000-2200000000
χ35222222222-2-2-22222-2-2-2-22-2-2-2222-2-2-22-2-2222000000000000000022-2-2000000000022-2-2000000000000000000-2200000000
χ36222222222-2-2-22222-2-2-2-22-2-2-2222-2-2-22-2-2222000000000000000022-2-20000000000-2-2220000000000000000002-200000000
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χ3822-2-22-2-22222222-2-2-2-22-2-2-22-22-2222-2-22-22-2200000000000000002-22-20000000000000000000000000000-2-222000000-2200
χ3922-2-22-2-22222222-2-2-2-22-2-2-2-22-22222-2-2-22-2220000000000000000-22-22000000000000000000000000000022-2-2000000-2200
χ4022-2-22-2-22222222-2-2-2-22-2-2-2-22-22222-2-2-22-2220000000000000000-22-220000000000000000000000000000-2-2220000002-200
χ4122-2-22-2-22222-222-2-2-2-2-22222-22-2-2-22-222-22-2-20000000000000000-22-220000000000000000000000000000000000002i−2i002i−2i
χ4222-2-22-2-22222-222-2-2-2-2-22222-22-2-2-22-222-22-2-20000000000000000-22-22000000000000000000000000000000000000−2i2i00−2i2i
χ4322-2-22-2-22222-222-2-2-2-2-2222-22-22-2-22-22-22-22-200000000000000002-22-20000000000000000000000000000000000002i−2i00−2i2i
χ4422-2-22-2-22222-222-2-2-2-2-2222-22-22-2-22-22-22-22-200000000000000002-22-2000000000000000000000000000000000000−2i2i002i−2i
χ4522-2-22-2-222-2-2222-2-2222-22-22-2-22-22-2222-2-22-2222-20000-2-22-200002-2-2222-2-222-2-20000000000000000000000000000000000
χ4622-2-22-2-222-2-2222-2-2222-22-22-2-22-22-2222-2-22-2-2-2-22000022-2200002-2-22-2-222-2-2220000000000000000000000000000000000
χ4722-2-22-2-222-2-2222-2-2222-22-2-222-2-22-222-222-2-222-220000-2-2-220000-222-222-2-2-2-2220000000000000000000000000000000000
χ4822-2-22-2-222-2-2222-2-2222-22-2-222-2-22-222-222-2-2-2-22-20000222-20000-222-2-2-22222-2-20000000000000000000000000000000000
χ4922-2-22-2-222-2-22-2-222222-2220000-2-22-2-2000022200002-2-2-200002-20000-2-22200000000002-2000000002-22-200000000000000
χ5022-2-22-2-222-2-22-2-222222-2220000-2-22-2-200002220000-22-2-20000-220000-2-2220000000000-2200000000-22-2200000000000000
χ5122-2-22-2-222-2-22-2-222222-2220000-2-22-2-200002-2-200002-22200002-2000022-2-200000000002-200000000-22-2200000000000000
χ5222-2-22-2-222-2-22-2-222222-2220000-2-22-2-200002-2-20000-22220000-22000022-2-20000000000-22000000002-22-200000000000000
χ5322-2-22-2-222-2-2-222-2-222-22-222-2-222-2-22-22-2-2220000000000000000-222-2000000000000000000002-22-22-2-2200000000000000
χ5422-2-22-2-222-2-2-222-2-222-22-222-2-222-2-22-22-2-2220000000000000000-222-200000000000000000000-22-22-222-200000000000000
χ5522-2-22-2-222-2-2-222-2-222-22-22-222-22-2-22-2-222-2200000000000000002-2-22000000000000000000002-22-2-222-200000000000000
χ5622-2-22-2-222-2-2-222-2-222-22-22-222-22-2-22-2-222-2200000000000000002-2-2200000000000000000000-22-222-2-2200000000000000
χ5722-2-22-2-222-2-2-2-2-22222-22-2-20000222-220000-2002-2002-2002-2002-200000000-2-222000000-2200002-2-22000000000000000000
χ5822-2-22-2-222-2-2-2-2-22222-22-2-20000222-220000-2002-200-22002-200-2200000000-2-2220000002-20000-222-2000000000000000000
χ5922-2-22-2-222-2-2-2-2-22222-22-2-20000222-220000-200-22002-200-22002-20000000022-2-2000000-220000-222-2000000000000000000
χ6022-2-22-2-222-2-2-2-2-22222-22-2-20000222-220000-200-2200-2200-2200-220000000022-2-20000002-200002-2-22000000000000000000
χ61444444444-4-44-4-4-4-4-4-444-4-40000-4-44440000400000000000000000000000000000000000000000000000000000000000000
χ62444444444-4-4-4-4-4-4-4-4-4-4-44400004444-40000-400000000000000000000000000000000000000000000000000000000000000
χ6344444-4-4-4-44-4000004-40000000000000000000000040000000-400000000000000002i−2i2i−2i002i−2i2i−2i0000000000000000000000
χ6444444-4-4-4-44-4000004-40000000000000000000000040000000-40000000000000000−2i2i−2i2i00−2i2i−2i2i0000000000000000000000
χ6544444-4-4-4-44-4000004-400000000000000000000000-40000000400000000000000002i−2i2i−2i00−2i2i−2i2i0000000000000000000000
χ6644444-4-4-4-44-4000004-400000000000000000000000-4000000040000000000000000−2i2i−2i2i002i−2i2i−2i0000000000000000000000
χ6744444-4-4-4-4-4400000-44000000000000000000000040000000-4000000000000000002i−2i−2i2i002i−2i−2i2i0000000000000000000000
χ6844444-4-4-4-4-4400000-44000000000000000000000040000000-400000000000000000−2i2i2i−2i00−2i2i2i−2i0000000000000000000000
χ6944444-4-4-4-4-4400000-440000000000000000000000-400000004000000000000000002i−2i−2i2i00−2i2i2i−2i0000000000000000000000
χ7044444-4-4-4-4-4400000-440000000000000000000000-40000000400000000000000000−2i2i2i−2i002i−2i−2i2i0000000000000000000000
χ71444-4-44-4-440004-44-400000000440000000-4-402-22-200002-2-22000000002-22-22-22-20000000000000000000000000000000000
χ72444-4-44-4-440004-44-400000000440000000-4-40-22-220000-222-200000000-22-22-22-220000000000000000000000000000000000
χ73444-4-44-4-440004-44-400000000-4-400000004402-2-2200002-22-2000000002-22-2-22-220000000000000000000000000000000000
χ74444-4-44-4-440004-44-400000000-4-40000000440-222-20000-22-2200000000-22-222-22-20000000000000000000000000000000000
χ75444-4-44-4-44000-44-44000000440000000-4-40002-22-200002-2-2200000000-22-22-22-220000000000000000000000000000000000
χ76444-4-44-4-44000-44-44000000440000000-4-4000-22-220000-222-2000000002-22-22-22-20000000000000000000000000000000000
χ77444-4-44-4-44000-44-44000000-4-40000000440002-2-2200002-22-200000000-22-222-22-20000000000000000000000000000000000
χ78444-4-44-4-44000-44-44000000-4-4000000044000-222-20000-22-22000000002-22-2-22-220000000000000000000000000000000000
χ7944-44-4-44-440004-4-44000000004-40000000-4402-2-2-20000-2222000000002-2-22-222-20000000000000000000000000000000000
χ8044-44-4-44-440004-4-44000000004-40000000-440-222200002-2-2-200000000-222-22-2-220000000000000000000000000000000000
χ8144-44-4-44-440004-4-4400000000-4400000004-402-2220000-22-2-2000000002-2-222-2-220000000000000000000000000000000000
χ8244-44-4-44-440004-4-4400000000-4400000004-40-22-2-200002-22200000000-222-2-222-20000000000000000000000000000000000
χ8344-44-4-44-44000-444-40000004-40000000-440002-2220000-22-2-200000000-222-2-222-20000000000000000000000000000000000
χ8444-44-4-44-44000-444-40000004-40000000-44000-22-2-200002-222000000002-2-222-2-220000000000000000000000000000000000
χ8544-44-4-44-44000-444-4000000-4400000004-40002-2-2-20000-222200000000-222-22-2-220000000000000000000000000000000000
χ8644-44-4-44-44000-444-4000000-4400000004-4000-222200002-2-2-2000000002-2-22-222-20000000000000000000000000000000000
χ8744-4-44-4-444444-4-444-4-44-4-4400004-4-4440000-400000000000000000000000000000000000000000000000000000000000000
χ8844-4-44-4-44444-4-4-444-4-4-444-40000-44-44-40000400000000000000000000000000000000000000000000000000000000000000
χ89888-8-8-888-800000000000000000000000000000000044000000-4-40000000000000000000000000000000000000000000000
χ90888-8-8-888-8000000000000000000000000000000000-4-4000000440000000000000000000000000000000000000000000000
χ9188-88-88-88-80000000000000000000000000000000004-4000000-440000000000000000000000000000000000000000000000
χ9288-88-88-88-8000000000000000000000000000000000-440000004-40000000000000000000000000000000000000000000000
χ9388-8-8888-8-88-800000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8888-8-8-88000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9516-160000000008000000-800000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000
χ9616-160000000008000000-80000000000000000000000000000000000000000000000000000000000000000000−4i4i0000000000
χ9716-16000000000-80000008000000000000000000000000000000000000000000000000000000000000000004-4000000000000
χ9816-16000000000-8000000800000000000000000000000000000000000000000000000000000000000000000-44000000000000

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