Finite Group Databasebeta

← Group #72260708

Character table — Group #72260708

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111222222444488888888888816161616161616161616161632323232323211112222224444888888888888161616161616161616161616323232323232
order1222222222224422222444444424444444444444888822222222222244222224444444244444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-111-1111111-1-1-1-1-1-111111111111111111111111111-1-1-111-1111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-11-1-111-1-111-1-1-1-1111111111111111111111-1-1-1-11111-1-11-1-111-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-111-1-1111111111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-111-1-1
χ6111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111
χ7111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111
χ8111111111111111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1111111-1-1111111111111111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1111111-1-1
χ9222222222222-2-222222-2-20000-200000000-2-200000000222222222222-2-222222-2-20000-200000000-2-200000000
χ10222222222222-2-22-2-2-2-2-2-20000-2000000002200000000222222222222-2-22-2-2-2-2-2-20000-2000000002200000000
χ112222222222-2-222-200002-22222-2000000-2-200000000002222222222-2-222-200002-22222-2000000-2-20000000000
χ122222222222-2-222-200002-2-2-2-2-2-20000002200000000002222222222-2-222-200002-2-2-2-2-2-2000000220000000000
χ132222222222-2-2-2-2-20000-22000020002200000-2-20000002222222222-2-2-2-2-20000-22000020002200000-2-2000000
χ142222222222-2-2-2-2-20000-2200002000-2-200000220000002222222222-2-2-2-2-20000-2200002000-2-20000022000000
χ1522222-2-2-2-222222-20000-220000-20000000000002-2000022222-2-2-2-222222-20000-220000-20000000000002-20000
χ1622222-2-2-2-222222-20000-220000-2000000000000-22000022222-2-2-2-222222-20000-220000-2000000000000-220000
χ1722222-2-2-2-2222-2-2-200002-2000022-2-200200000000000022222-2-2-2-2222-2-2-200002-2000022-2-2002000000000000
χ1822222-2-2-2-2222-2-2-200002-200002-22200-200000000000022222-2-2-2-2222-2-2-200002-200002-22200-2000000000000
χ1922222-2-2-2-22-2-22220000-2-20000200000000000000002-222222-2-2-2-22-2-22220000-2-20000200000000000000002-2
χ2022222-2-2-2-22-2-22220000-2-2000020000000000000000-2222222-2-2-2-22-2-22220000-2-2000020000000000000000-22
χ2122222-2-2-2-22-2-2-2-220000220000-2000000000000002i−2i0022222-2-2-2-22-2-2-2-220000220000-2000000000000002i−2i00
χ2222222-2-2-2-22-2-2-2-220000220000-200000000000000−2i2i0022222-2-2-2-22-2-2-2-220000220000-200000000000000−2i2i00
χ234444-44-44-4-4000000000000000022-200-20000000000004444-44-44-4-4000000000000000022-200-2000000000000
χ244444-44-44-4-40000000000000000-2-220020000000000004444-44-44-4-40000000000000000-2-22002000000000000
χ254444-4-44-44-400000000000000002-2200-20000000000004444-4-44-44-400000000000000002-2200-2000000000000
χ264444-4-44-44-40000000000000000-22-20020000000000004444-4-44-44-40000000000000000-22-2002000000000000
χ2744-4-40040-400000022-2-2002i2i−2i−2i00002i−2i000000000000044-4-40040-400000022-2-2002i2i−2i−2i00002i−2i0000000000000
χ2844-4-40040-400000022-2-200−2i−2i2i2i0000−2i2i000000000000044-4-40040-400000022-2-200−2i−2i2i2i0000−2i2i0000000000000
χ2944-4-40040-4000000-2-222002i2i−2i−2i0000−2i2i000000000000044-4-40040-4000000-2-222002i2i−2i−2i0000−2i2i0000000000000
χ3044-4-40040-4000000-2-22200−2i−2i2i2i00002i−2i000000000000044-4-40040-4000000-2-22200−2i−2i2i2i00002i−2i0000000000000
χ314-44-4040-400000002-22-2002i−2i2i−2i000000000002i−2i0000004-44-4040-400000002-22-2002i−2i2i−2i000000000002i−2i000000
χ324-44-4040-400000002-22-200−2i2i−2i2i00000000000−2i2i0000004-44-4040-400000002-22-200−2i2i−2i2i00000000000−2i2i000000
χ334-44-4040-40000000-22-22002i−2i2i−2i00000000000−2i2i0000004-44-4040-40000000-22-22002i−2i2i−2i00000000000−2i2i000000
χ344-44-4040-40000000-22-2200−2i2i−2i2i000000000002i−2i0000004-44-4040-40000000-22-2200−2i2i−2i2i000000000002i−2i000000
χ354-4-4440000-4004i−4i02-2-220000000000000002i−2i000000004-4-4440000-4004i−4i02-2-220000000000000002i−2i00000000
χ364-4-4440000-4004i−4i0-222-2000000000000000−2i2i000000004-4-4440000-4004i−4i0-222-2000000000000000−2i2i00000000
χ374-4-4440000-400−4i4i02-2-22000000000000000−2i2i000000004-4-4440000-400−4i4i02-2-22000000000000000−2i2i00000000
χ384-4-4440000-400−4i4i0-222-20000000000000002i−2i000000004-4-4440000-400−4i4i0-222-20000000000000002i−2i00000000
χ394-4-44-4000044-40000000002-2-2200000002-200000000004-4-44-4000044-40000000002-2-2200000002-20000000000
χ404-4-44-4000044-4000000000-222-20000000-2200000000004-4-44-4000044-4000000000-222-20000000-220000000000
χ414-4-44-400004-440000000002-2-220000000-2200000000004-4-44-400004-440000000002-2-220000000-220000000000
χ424-4-44-400004-44000000000-222-200000002-200000000004-4-44-400004-44000000000-222-200000002-20000000000
χ4388-8-800-8080000000000000000000000000000000000088-8-800-80800000000000000000000000000000000000
χ448-88-80-8080000000000000000000000000000000000008-88-80-808000000000000000000000000000000000000
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4611111111111111111111111111-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111111
χ47111111111111111111111-1-1-1-11111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-111-1-11111
χ48111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-11111-1-1-1-1
χ49111111111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111
χ50111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-111-1-1
χ51111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-1-11111-1-1
χ52111111111111111-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-111111-1-1-1-1-1-111
χ53222222222222-2-222222-2-20000-200000000-2-200000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-22200002000000002200000000
χ54222222222222-2-22-2-2-2-2-2-20000-2000000002200000000-2-2-2-2-2-2-2-2-2-2-2-222-22222220000200000000-2-200000000
χ552222222222-2-222-200002-22222-2000000-2-20000000000-2-2-2-2-2-2-2-2-2-222-2-220000-22-2-2-2-22000000220000000000
χ562222222222-2-222-200002-2-2-2-2-2-2000000220000000000-2-2-2-2-2-2-2-2-2-222-2-220000-2222222000000-2-20000000000
χ572222222222-2-2-2-2-20000-22000020002200000-2-2000000-2-2-2-2-2-2-2-2-2-22222200002-20000-2000-2-20000022000000
χ582222222222-2-2-2-2-20000-2200002000-2-20000022000000-2-2-2-2-2-2-2-2-2-22222200002-20000-20002200000-2-2000000
χ5922222-2-2-2-222222-20000-220000-20000000000002-20000-2-2-2-2-22222-2-2-2-2-2200002-200002000000000000-220000
χ6022222-2-2-2-222222-20000-220000-2000000000000-220000-2-2-2-2-22222-2-2-2-2-2200002-2000020000000000002-20000
χ6122222-2-2-2-2222-2-2-200002-2000022-2-2002000000000000-2-2-2-2-22222-2-2-22220000-220000-2-22200-2000000000000
χ6222222-2-2-2-2222-2-2-200002-200002-22200-2000000000000-2-2-2-2-22222-2-2-22220000-220000-22-2-2002000000000000
χ6322222-2-2-2-22-2-22220000-2-20000200000000000000002-2-2-2-2-2-22222-222-2-2-20000220000-20000000000000000-22
χ6422222-2-2-2-22-2-22220000-2-2000020000000000000000-22-2-2-2-2-22222-222-2-2-20000220000-200000000000000002-2
χ6522222-2-2-2-22-2-2-2-220000220000-2000000000000002i−2i00-2-2-2-2-22222-22222-20000-2-20000200000000000000−2i2i00
χ6622222-2-2-2-22-2-2-2-220000220000-200000000000000−2i2i00-2-2-2-2-22222-22222-20000-2-200002000000000000002i−2i00
χ674444-44-44-4-4000000000000000022-200-2000000000000-4-4-4-44-44-4440000000000000000-2-22002000000000000
χ684444-44-44-4-40000000000000000-2-22002000000000000-4-4-4-44-44-444000000000000000022-200-2000000000000
χ694444-4-44-44-400000000000000002-2200-2000000000000-4-4-4-444-44-440000000000000000-22-2002000000000000
χ704444-4-44-44-40000000000000000-22-2002000000000000-4-4-4-444-44-4400000000000000002-2200-2000000000000
χ7144-4-40040-400000022-2-2002i2i−2i−2i00002i−2i0000000000000-4-44400-404000000-2-22200−2i−2i2i2i0000−2i2i0000000000000
χ7244-4-40040-400000022-2-200−2i−2i2i2i0000−2i2i0000000000000-4-44400-404000000-2-222002i2i−2i−2i00002i−2i0000000000000
χ7344-4-40040-4000000-2-222002i2i−2i−2i0000−2i2i0000000000000-4-44400-40400000022-2-200−2i−2i2i2i00002i−2i0000000000000
χ7444-4-40040-4000000-2-22200−2i−2i2i2i00002i−2i0000000000000-4-44400-40400000022-2-2002i2i−2i−2i0000−2i2i0000000000000
χ754-44-4040-400000002-22-2002i−2i2i−2i000000000002i−2i000000-44-440-4040000000-22-2200−2i2i−2i2i00000000000−2i2i000000
χ764-44-4040-400000002-22-200−2i2i−2i2i00000000000−2i2i000000-44-440-4040000000-22-22002i−2i2i−2i000000000002i−2i000000
χ774-44-4040-40000000-22-22002i−2i2i−2i00000000000−2i2i000000-44-440-40400000002-22-200−2i2i−2i2i000000000002i−2i000000
χ784-44-4040-40000000-22-2200−2i2i−2i2i000000000002i−2i000000-44-440-40400000002-22-2002i−2i2i−2i00000000000−2i2i000000
χ794-4-4440000-4004i−4i02-2-220000000000000002i−2i00000000-444-4-40000400−4i4i0-222-2000000000000000−2i2i00000000
χ804-4-4440000-4004i−4i0-222-2000000000000000−2i2i00000000-444-4-40000400−4i4i02-2-220000000000000002i−2i00000000
χ814-4-4440000-400−4i4i02-2-22000000000000000−2i2i00000000-444-4-400004004i−4i0-222-20000000000000002i−2i00000000
χ824-4-4440000-400−4i4i0-222-20000000000000002i−2i00000000-444-4-400004004i−4i02-2-22000000000000000−2i2i00000000
χ834-4-44-4000044-40000000002-2-2200000002-20000000000-444-440000-4-44000000000-222-20000000-220000000000
χ844-4-44-4000044-4000000000-222-20000000-220000000000-444-440000-4-440000000002-2-2200000002-20000000000
χ854-4-44-400004-440000000002-2-220000000-220000000000-444-440000-44-4000000000-222-200000002-20000000000
χ864-4-44-400004-44000000000-222-200000002-20000000000-444-440000-44-40000000002-2-220000000-220000000000
χ8788-8-800-80800000000000000000000000000000000000-8-8880080-800000000000000000000000000000000000
χ888-88-80-808000000000000000000000000000000000000-88-88080-8000000000000000000000000000000000000

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