Finite Group Databasebeta

← Group #72310739

Character table — Group #72310739

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11112222222222222244444444444444444444444444448888888888888888888888888816161616161616161616161616161616161616161616161616163232323232323232
order1222222222222244442222222222224444444444444444222224444444444444444444442222444444444444448888888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-11111-1-111111111111111-1-1-1-1-11111-111111111-1-1-1-1-1-11-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-11111-1-111111111111111-1-1-1-1-11111-111111111-1-1-1-1-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-11-11111111111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-11111111-1-1-1-1111111-1-111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-11-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-111-1-1111-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-1-11111-1111-1-1-1-11111-1-1-1-111-1-1-1-111
χ171111-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1-1-1111111-1-1-1-11111-1-1-111-1-111-1-1-11111-1-1-1-111-1-11-111-1-1-1-11-1111-111-1-111-1-111-1-11-11-11-11-1
χ181111-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1-1-1111111-1-1-1-11111-1-1-111-1-111-1-1-11111-1-1-1-111-1-11-1-1-111111-1-1-11-111-1-1-1-111-1-111-11-11-11-11
χ191111-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1-1-111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-11111-1-1111-111-1-1-1-11-111-11-1-11111-1-111-1-1-11-11-11-11
χ201111-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1-1-111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-11111-1-1111-1-1-111111-1-1-1-11-1-111-1-111-1-1111-11-11-11-1
χ211111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-111111-1-1-1-1-1-111-111-1-1-111-111-1-11-1-11111-1-1-1-1111-1-111-1-11
χ221111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-111111-1-1-1-1-1-111-11-1111-1-1-11-11-11-1-111-1-11111-1-1-111-1-111-1
χ231111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-11-1-111-1-1111-1-1-1-1111111-1-1-111-1-1-111-111-11-111-1-111-1-1-1-111-111-1-111-1
χ241111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-11-1-111-1-1111-1-1-1-1111111-1-1-11-1111-1-1-11-111-111-1-1-1-11111-1-11-1-111-1-11
χ251111-1-1-1-1111111-1-111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-111-1-111-111-1-111-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-11111-1-1-111-1-111-1-1111-11-1-11-11
χ261111-1-1-1-1111111-1-111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-111-1-111-111-1-111-1-1-1-1-1-1-1111111-1-1-11-1-11111-11-1-11-1-1-11111-1-111-1-1-11-111-11-1
χ271111-1-1-1-1111111-1-111-1-1-1-1-1-11111111-1-1-111-1-1-1-1111111-1-111-111-1-1-1-111-11111-1-1-1-1-1-111-1111-1-1-1-1-1111-1111-1-1-1-111-1-111-11-111-11-1
χ281111-1-1-1-1111111-1-111-1-1-1-1-1-11111111-1-1-111-1-1-1-1111111-1-111-111-1-1-1-111-11111-1-1-1-1-1-111-11-1-11111-11-1-1-1111-1-111-1-111-1-11-11-1-11-11
χ291111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-111-1-1111-1-11111-1-11-1-1-1-11111-1-1111-11-1-1-1111-11-1-1111-1-1-1-11111-1-11-1-11-111-1
χ301111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-111-1-1111-1-11111-1-11-1-1-1-11111-1-1111-1-1111-1-11-1-11-1111-1-111-1-1-1-111-111-11-1-11
χ311111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-11111111-1-1-1-111-1-11-11-1-1-1111-11-11-1-1-111-1-11111-1-1-111-11-1-11
χ321111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-11111111-1-1-1-111-1-11-1-1111-1-11-1-111-1-1-11111-1-1-1-1111-1-11-111-1
χ3322222222222222-2-2-2-2220000000022-2-2-2-22222222222-2-200002-2-2-2-2-2-2-2-22000000002222000000000000-2-200000000000000000000
χ3422222222222222-2-2-2-2220000000022-2-2-2-222-2-2-2-2-2-2-2-2-2-200002-2-2-2-22222200000000-2-2-2-20000000000002200000000000000000000
χ3522222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-222222222-2-20000-22222-2-2-2-2-200000000-2-2-2-20000000000002200000000000000000000
χ3622222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-222222222-2000000002222000000000000-2-200000000000000000000
χ37222222222-2-2-2-222222-2-2222222222222-2-2-2-200000000-2-2-2-2-2-222-22-20000-200000000000022000000-2-2000000000000000000000000
χ38222222222-2-2-2-222222-2-222222222-2-222-2-22200000000-2-2-2-2-2-2-2-22-2200002000000000000-2-200000022000000000000000000000000
χ39222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2222222-22-20000-2000000000000-2-200000022000000000000000000000000
χ40222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-22222-2-22-220000200000000000022000000-2-2000000000000000000000000
χ41222222222-2-2-2-22-2-2-2-2-2-20000000022-2-222-2-2000000002200002-22-220000-222-2-222-2-20000000000000000002-22-20000000000000000
χ42222222222-2-2-2-22-2-2-2-2-2-20000000022-2-222-2-2000000002200002-22-220000-2-2-222-2-222000000000000000000-22-220000000000000000
χ43222222222-2-2-2-22-2-2-2-2-2-200000000-2-2-2-2222200000000220000-22-22-20000222-2-222-2-2000000000000000000-22-220000000000000000
χ44222222222-2-2-2-22-2-2-2-2-2-200000000-2-2-2-2222200000000220000-22-22-200002-2-222-2-2220000000000000000002-22-20000000000000000
χ45222222-2-2-222-2-2-222222-222-2-222-2-200-2-22-200000000002-22-22-200000000000000000000000002002-2000-200000000002-22-200000000
χ46222222-2-2-222-2-2-222222-222-2-222-2-200-2-22-200000000002-22-22-20000000000000000000000000-200-2200020000000000-22-2200000000
χ47222222-2-2-222-2-2-222222-2-2-222-2-22200-2-22-200000000002-2-22-2200000000000000000000000002002-2000-20000000000-22-2200000000
χ48222222-2-2-222-2-2-222222-2-2-222-2-22200-2-22-200000000002-2-22-220000000000000000000000000-200-22000200000000002-22-200000000
χ49222222-2-2-2-2-222-22222-2222-2-222-2-200-2-2-220000000000-22-22-22000000000000000000000000202-20000-200000002-22-2000000000000
χ50222222-2-2-2-2-222-22222-2222-2-222-2-200-2-2-220000000000-22-22-22000000000000000000000000-20-22000020000000-22-22000000000000
χ51222222-2-2-2-2-222-22222-22-2-222-2-22200-2-2-220000000000-222-22-2000000000000000000000000202-20000-20000000-22-22000000000000
χ52222222-2-2-2-2-222-22222-22-2-222-2-22200-2-2-220000000000-222-22-2000000000000000000000000-20-220000200000002-22-2000000000000
χ532222-2-222-222-2-2-2-2-222-2222-2-2-2-22200-22-2200000000002-22-2-220000000000000000000000000200-22000-200000000002-2-2200000000
χ542222-2-222-222-2-2-2-2-222-2222-2-2-2-22200-22-2200000000002-22-2-220000000000000000000000000-2002-200020000000000-222-200000000
χ552222-2-222-222-2-2-2-2-222-22-2-22222-2-200-22-2200000000002-2-222-20000000000000000000000000200-22000-20000000000-222-200000000
χ562222-2-222-222-2-2-2-2-222-22-2-22222-2-200-22-2200000000002-2-222-20000000000000000000000000-2002-2000200000000002-2-2200000000
χ572222-2-222-2-2-222-2-2-2222-222-2-2-2-22200-222-20000000000-22-222-200000000000000000000000020-220000-200000002-2-22000000000000
χ582222-2-222-2-2-222-2-2-2222-222-2-2-2-22200-222-20000000000-22-222-2000000000000000000000000-202-2000020000000-222-2000000000000
χ592222-2-222-2-2-222-2-2-2222-2-2-22222-2-200-222-20000000000-222-2-2200000000000000000000000020-220000-20000000-222-2000000000000
χ602222-2-222-2-2-222-2-2-2222-2-2-22222-2-200-222-20000000000-222-2-22000000000000000000000000-202-20000200000002-2-22000000000000
χ612222-2-2-2-222222222-2-2-2-20000000022-2222222222-2-2-2-2-2-20000-2-2-222-2-222-20000000022-2-2000000000000-2200000000000000000000
χ622222-2-2-2-222222222-2-2-2-20000000022-222222-2-2-2-22222-2-20000-2-2-22222-2-2-200000000-2-2220000000000002-200000000000000000000
χ632222-2-2-2-222222222-2-2-2-200000000-2-2-2222-2-22222-2-2-2-2-2-20000222-2-2-2-222200000000-2-2220000000000002-200000000000000000000
χ642222-2-2-2-222222222-2-2-2-200000000-2-2-2222-2-2-2-2-2-22222-2-20000222-2-222-2-220000000022-2-2000000000000-2200000000000000000000
χ652222-2-2-2-22-2-2-2-2222-2-2220000000022-22-2-2-2-200000000220000-2-222-20000222-2-2-2-2220000000000000000002-2-220000000000000000
χ662222-2-2-2-22-2-2-2-2222-2-2220000000022-22-2-2-2-200000000220000-2-222-200002-2-22222-2-2000000000000000000-222-20000000000000000
χ672222-2-2-2-22-2-2-2-2222-2-22200000000-2-2-22-2-2220000000022000022-2-220000-222-2-2-2-222000000000000000000-222-20000000000000000
χ682222-2-2-2-22-2-2-2-2222-2-22200000000-2-2-22-2-2220000000022000022-2-220000-2-2-22222-2-20000000000000000002-2-220000000000000000
χ692222-2-2-2-22-2-2-2-22-2-222222222-2-2-2-2222-222-2-200000000-2-2-2-222-22-2-22000020000000000002-2000000-22000000000000000000000000
χ702222-2-2-2-22-2-2-2-22-2-222222222-2-2-2-2-2-22-2222200000000-2-2-2-2222-222-20000-2000000000000-220000002-2000000000000000000000000
χ712222-2-2-2-22-2-2-2-22-2-22222-2-2-2-22222222-222-2-200000000-2-222-2-2-22-2-2200002000000000000-220000002-2000000000000000000000000
χ722222-2-2-2-22-2-2-2-22-2-22222-2-2-2-22222-2-22-2222200000000-2-222-2-22-222-20000-20000000000002-2000000-22000000000000000000000000
χ73444444-4-4-444-4-4-4-4-4-4-44-4000000000044-440000000000-44000000000000000000000000000000000000000000000000000000000000
χ74444444-4-4-4-4-444-4-4-4-4-4-440000000000444-400000000004-4000000000000000000000000000000000000000000000000000000000000
χ754444-4-444-444-4-4-444-4-4-4400000000004-44-40000000000-44000000000000000000000000000000000000000000000000000000000000
χ764444-4-444-4-4-444-444-4-44-400000000004-4-4400000000004-4000000000000000000000000000000000000000000000000000000000000
χ7744-4-44-4000000004-44-400004-4004-4000000002i2i−2i−2i2i2i−2i−2i000000000002i−2i2i−2i02i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ7844-4-44-4000000004-44-400004-4004-400000000−2i−2i2i2i−2i−2i2i2i00000000000−2i2i−2i2i0−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ7944-4-44-4000000004-44-40000-4400-44000000002i2i−2i−2i2i2i−2i−2i000000000002i−2i2i−2i0−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ8044-4-44-4000000004-44-40000-4400-4400000000−2i−2i2i2i−2i−2i2i2i00000000000−2i2i−2i2i02i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ8144-4-44-400000000-44-44004-4004-400000000002i2i−2i−2i2i2i−2i−2i00000000000−2i2i−2i2i02i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ8244-4-44-400000000-44-44004-4004-40000000000−2i−2i2i2i−2i−2i2i2i000000000002i−2i2i−2i0−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ8344-4-44-400000000-44-4400-4400-4400000000002i2i−2i−2i2i2i−2i−2i00000000000−2i2i−2i2i0−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ8444-4-44-400000000-44-4400-4400-440000000000−2i−2i2i2i−2i−2i2i2i000000000002i−2i2i−2i02i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ8544-4-4-44000000004-4-44004-400-4400000000002i2i−2i−2i−2i−2i2i2i00000000000−2i2i2i−2i02i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000
χ8644-4-4-44000000004-4-44004-400-440000000000−2i−2i2i2i2i2i−2i−2i000000000002i−2i−2i2i0−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000
χ8744-4-4-44000000004-4-4400-44004-400000000002i2i−2i−2i−2i−2i2i2i00000000000−2i2i2i−2i0−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000000000
χ8844-4-4-44000000004-4-4400-44004-40000000000−2i−2i2i2i2i2i−2i−2i000000000002i−2i−2i2i02i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000000000
χ8944-4-4-4400000000-444-400004-400-44000000002i2i−2i−2i−2i−2i2i2i000000000002i−2i−2i2i02i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000
χ9044-4-4-4400000000-444-400004-400-4400000000−2i−2i2i2i2i2i−2i−2i00000000000−2i2i2i−2i0−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000
χ9144-4-4-4400000000-444-40000-44004-4000000002i2i−2i−2i−2i−2i2i2i000000000002i−2i−2i2i0−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000
χ9244-4-4-4400000000-444-40000-44004-400000000−2i−2i2i2i2i2i−2i−2i00000000000−2i2i2i−2i02i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000
χ934-4-440000-44-44-44000000000000004-400004-400004-44-4000000000000000000000000004-40000000000000000000000000000000000
χ944-4-440000-44-44-44000000000000004-400004-40000-44-4400000000000000000000000000-440000000000000000000000000000000000
χ954-4-440000-44-44-4400000000000000-440000-4400004-44-400000000000000000000000000-440000000000000000000000000000000000
χ964-4-440000-44-44-4400000000000000-440000-440000-44-44000000000000000000000000004-40000000000000000000000000000000000
χ974-4-440000-4-44-444000000000000004-40000-444-44-400000000000000000000000000004-4000000000000000000000000000000000000
χ984-4-440000-4-44-444000000000000004-40000-44-44-440000000000000000000000000000-44000000000000000000000000000000000000
χ994-4-440000-4-44-44400000000000000-4400004-44-44-40000000000000000000000000000-44000000000000000000000000000000000000
χ1004-4-440000-4-44-44400000000000000-4400004-4-44-4400000000000000000000000000004-4000000000000000000000000000000000000
χ1018-88-8008-800000000000000000000000000004i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1028-88-8008-80000000000000000000000000000−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ1038-88-800-8800000000000000000000000000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-880000000000000000000000000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ1058-8-88000088-8-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800008-888-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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