Finite Group Databasebeta

← Group #72262648

Character table — Group #72262648

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11222222244444444444444888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222224444444444444444444444444444444422444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-111-1-1
χ91111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ101111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ121111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1
χ131111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ141111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1
χ151111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ161111111111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111
χ17222222222222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2000000002222222200000000-20-200000-2-20000000000000000000000
χ18222222222222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000020200000220000000000000000000000
χ192222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000002222-2-2-2-200000000-20-200000220000000000000000000000
χ202222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-2-222220000000020200000-2-20000000000000000000000
χ2122222222222-2-20000-2-2-2-222-22-20000002-22-22-2000000002222000022-2-20000-2-2-2-2000000002-20022-2-20000000000000000
χ2222222222222-2-20000-2-2-2-222-22-20000002-22-22-20000000022220000-2-2220000-2-2-2-200000000-2200-2-2220000000000000000
χ2322222222222-2-20000-2-2-2-222-22-20000002-22-22-200000000-2-2-2-2000022-2-200002222000000002-200-2-2220000000000000000
χ2422222222222-2-20000-2-2-2-222-22-20000002-22-22-200000000-2-2-2-20000-2-2220000222200000000-220022-2-20000000000000000
χ2522222222222-2-20000-2-2-2-222-2-22000000-22-22-22000022220000000022-2-2-2-2-2-2000000000000-2200000022-2-2000000000000
χ2622222222222-2-20000-2-2-2-222-2-22000000-22-22-220000222200000000-2-222-2-2-2-20000000000002-2000000-2-222000000000000
χ2722222222222-2-20000-2-2-2-222-2-22000000-22-22-220000-2-2-2-20000000022-2-22222000000000000-22000000-2-222000000000000
χ2822222222222-2-20000-2-2-2-222-2-22000000-22-22-220000-2-2-2-200000000-2-22222220000000000002-200000022-2-2000000000000
χ29222222222-2-2-2-222-2-22222-2-2-22-2222-2-2-22-2-22-2222-2-20000000000000000000000000000002200-2-200000000002-200000000
χ30222222222-2-2-2-222-2-22222-2-2-22-2222-2-2-22-2-22-2222-2-2000000000000000000000000000000-2-200220000000000-2200000000
χ31222222222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-222-22-2-2-2220000000000000000000000000202-2-2000000000000002-20000000000
χ32222222222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-222-22-2-2-2220000000000000000000000000-20-22200000000000000-220000000000
χ33222222222-2-2-2-2-2-2222222-2-2-22-2-2-2-22222-2-22-22-2-2220000000000000000000000000000002200-2-20000000000-2200000000
χ34222222222-2-2-2-2-2-2222222-2-2-22-2-2-2-22222-2-22-22-2-222000000000000000000000000000000-2-2002200000000002-200000000
χ35222222222-2-2-2-2-2-2222222-2-2-2-22-2-2-2222-222-22-222-2-20000000000000000000000000202-2-200000000000000-220000000000
χ36222222222-2-2-2-2-2-2222222-2-2-2-22-2-2-2222-222-22-222-2-20000000000000000000000000-20-222000000000000002-20000000000
χ3722-22-222-2-22222000022-2-2-2-2-222000000-2-2-2-22200002i2i−2i−2i000022-2-200002i2i−2i−2i000020-20000000002i−2i2i−2i0000000000000000
χ3822-22-222-2-22222000022-2-2-2-2-222000000-2-2-2-22200002i2i−2i−2i0000-2-22200002i2i−2i−2i0000-202000000000−2i2i−2i2i0000000000000000
χ3922-22-222-2-22222000022-2-2-2-2-222000000-2-2-2-2220000−2i−2i2i2i000022-2-20000−2i−2i2i2i000020-2000000000−2i2i−2i2i0000000000000000
χ4022-22-222-2-22222000022-2-2-2-2-222000000-2-2-2-2220000−2i−2i2i2i0000-2-2220000−2i−2i2i2i0000-2020000000002i−2i2i−2i0000000000000000
χ4122-22-222-2-22222000022-2-2-2-2-2-2-20000002222-2-2000000002i2i−2i−2i22-2-2000000002i2i−2i−2i-20200000000000002i−2i2i−2i000000000000
χ4222-22-222-2-22222000022-2-2-2-2-2-2-20000002222-2-2000000002i2i−2i−2i-2-222000000002i2i−2i−2i20-20000000000000−2i2i−2i2i000000000000
χ4322-22-222-2-22222000022-2-2-2-2-2-2-20000002222-2-200000000−2i−2i2i2i22-2-200000000−2i−2i2i2i-2020000000000000−2i2i−2i2i000000000000
χ4422-22-222-2-22222000022-2-2-2-2-2-2-20000002222-2-200000000−2i−2i2i2i-2-22200000000−2i−2i2i2i20-200000000000002i−2i2i−2i000000000000
χ4522-22-222-2-222-2-222-2-2-2-222-2-222-22-2-222-2-22-222-22-22-20000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ4622-22-222-2-222-2-222-2-2-2-222-2-222-22-2-222-2-22-222-22-22-2000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ4722-22-222-2-222-2-222-2-2-2-222-2-22-222-2-222-22-22-2-22-22-222i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ4822-22-222-2-222-2-222-2-2-2-222-2-22-222-2-222-22-22-2-22-22-22−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ4922-22-222-2-222-2-2-2-222-2-222-2-222-2-222-2-22-22-222-2-22-220000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ5022-22-222-2-222-2-2-2-222-2-222-2-222-2-222-2-22-22-222-2-22-22000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ5122-22-222-2-222-2-2-2-222-2-222-2-22-22-222-2-222-22-2-222-22-22i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ5222-22-222-2-222-2-2-2-222-2-222-2-22-22-222-2-222-22-2-222-22-2−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ5322-22-222-2-2-2-2222222-2-22222-2222-2-2-2-22-2-222-2-22-2-220000000000000000000000000000000000000000000000002i−2i002i−2i00
χ5422-22-222-2-2-2-2222222-2-22222-2222-2-2-2-22-2-222-2-22-2-22000000000000000000000000000000000000000000000000−2i2i00−2i2i00
χ5522-22-222-2-2-2-2222222-2-22222-2-2-22-2-2-2-2222-2-222-222-2000000000000000000000000000000000000000000000000002-2002-2
χ5622-22-222-2-2-2-2222222-2-22222-2-2-22-2-2-2-2222-2-222-222-200000000000000000000000000000000000000000000000000-2200-22
χ5722-22-222-2-2-2-222-2-2-2-2-2-22222-222-22222-2-2-222-2-2-222-20000000000000000000000000000000000000000000000002i−2i00−2i2i00
χ5822-22-222-2-2-2-222-2-2-2-2-2-22222-222-22222-2-2-222-2-2-222-2000000000000000000000000000000000000000000000000−2i2i002i−2i00
χ5922-22-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-222-2-2222-2-22000000000000000000000000000000000000000000000000002-200-22
χ6022-22-222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-222-2-2222-2-2200000000000000000000000000000000000000000000000000-22002-2
χ61444444444-4-4440000-4-4-4-4-4-444400000044-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ62444444444-4-4440000-4-4-4-4-4-44-4-4000000-4-44444000000000000000000000000000000000000000000000000000000000000
χ634444-4-4-44-44-400000000004-40000000000000000000000000000000004i−4i00000000020-22-22i−2i002i−2i00000000000000000000
χ644444-4-4-44-44-400000000004-40000000000000000000000000000000004i−4i000000000-202-22−2i2i00−2i2i00000000000000000000
χ654444-4-4-44-44-400000000004-4000000000000000000000000000000000−4i4i00000000020-22-2−2i2i00−2i2i00000000000000000000
χ664444-4-4-44-44-400000000004-4000000000000000000000000000000000−4i4i000000000-202-222i−2i002i−2i00000000000000000000
χ674444-4-4-44-4-440000000000-4400000000000000000000000000000004i−4i0000000000020-2-222i−2i00−2i2i00000000000000000000
χ684444-4-4-44-4-440000000000-4400000000000000000000000000000004i−4i00000000000-2022-2−2i2i002i−2i00000000000000000000
χ694444-4-4-44-4-440000000000-440000000000000000000000000000000−4i4i0000000000020-2-22−2i2i002i−2i00000000000000000000
χ704444-4-4-44-4-440000000000-440000000000000000000000000000000−4i4i00000000000-2022-22i−2i00−2i2i00000000000000000000
χ71444-444-4-4-4000000444-44-4000000004-4-400000000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ72444-444-4-4-4000000444-44-4000000004-4-40000000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ73444-444-4-4-4000000-4-44-44-400000000-44400000000002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ74444-444-4-4-4000000-4-44-44-400000000-4440000000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ75444-444-4-4-400004400-44-4400000-44-400000000000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ76444-444-4-4-400004400-44-4400000-44-40000000000000−2i2i−2i2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ77444-444-4-4-40000-4-400-44-44000004-4400000000000002i−2i2i−2i−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ78444-444-4-4-40000-4-400-44-44000004-440000000000000−2i2i−2i2i2i−2i2i−2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ7944-44-444-4-4-4-4-4-4000044-4-44444-4000000-444-4-44000000000000000000000000000000000000000000000000000000000000
χ8044-44-444-4-4-4-4-4-4000044-4-4444-440000004-4-444-4000000000000000000000000000000000000000000000000000000000000
χ8144-4-4-44-44400000044-444-400000000-44-400000000002-2-22-222-200000000-222-22-2-2200000000000000000000000000000000
χ8244-4-4-44-44400000044-444-400000000-44-40000000000-222-22-2-22000000002-2-22-222-200000000000000000000000000000000
χ8344-4-4-44-444000000-4-4-444-4000000004-4400000000002-2-222-2-2200000000-222-2-222-200000000000000000000000000000000
χ8444-4-4-44-444000000-4-4-444-4000000004-440000000000-222-2-222-2000000002-2-222-2-2200000000000000000000000000000000
χ8544-4-4-44-444000044004-4-4400000-4-4400000000000002-2-222-2-22000000002-2-222-2-2200000000000000000000000000000000
χ8644-4-4-44-444000044004-4-4400000-4-440000000000000-222-2-222-200000000-222-2-222-200000000000000000000000000000000
χ8744-4-4-44-4440000-4-4004-4-440000044-400000000000002-2-22-222-2000000002-2-22-222-200000000000000000000000000000000
χ8844-4-4-44-4440000-4-4004-4-440000044-40000000000000-222-22-2-2200000000-222-22-2-2200000000000000000000000000000000
χ89888-8-8-88-88000000000000000000000000000000000000000004-44-400000000000000000000000000000000000000000000
χ90888-8-8-88-8800000000000000000000000000000000000000000-44-4400000000000000000000000000000000000000000000
χ9188-888-8-8-888-80000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-888-8-8-88-8800000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-88-888-8000000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ9488-8-88-888-800000000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000
χ9516-160000000008-88-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9616-160000000008-8-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9716-16000000000-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-16000000000-88-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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