Finite Group Databasebeta

← Group #72310989

Character table — Group #72310989

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222224444444444444444444444448888888888888888888888888888161616161616161616161616161616161616161616161616161616161616323232323232
order1222222222222244442222222222444444444444442222224444444444444444448888222244444444444444448888888888444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-11111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111111111-1-111111111-1-111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1111-1-111-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-111-1-1111-11111-1-1-1-1-1-11111111111-1-1-1-1
χ1711111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-11111-1-11-111-1-111-1-11111-1-1-1-11-1111111-11-1-1-1-111-1111-1-111-1-1-1-111-1-111-1-11-11-11-1
χ1811111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-11111-1-11-111-1-111-1-11111-1-1-1-11-1-1-1-1-11-11-1-1-1111-11-111-1-111-1-111-1-111-1-111-11-11-11
χ1911111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-1111111-1-1-1-1-111111-11-1-11111-11-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-11
χ2011111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1111-1-111-1
χ2111111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-111111111-1-11-1-1-11111-1-1-1-1-1-111111-1111111-11-1-1-1-111-11-1-111-1-111-1-111-1-1-1-111-11-11-11
χ2211111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-111111111-1-11-1-1-11111-1-1-1-1-1-111111-1-1-1-1-11-11-1-1-1111-11-1-1-111-1-11111-1-11111-1-11-11-11-1
χ2311111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-11-1-111-1-111-1-1-1-11111-111111-11-1-11111-11-1-111-1-111-1-1-1-1-1-111-1-1111-1-111-1
χ2411111-1-1-1-111111-1-111-1-11111-1-1-1-11-1-1-1-1-1-1-111111111-1-1-11-1-111-1-111-1-1-1-11111-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-111-1-11
χ2511111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-1-1-111111-11111-1-11-11111-1-11-111-1-1-1-111-1-111-1-111-1-1-11-111-1
χ2611111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-1-1-111111-1-1-1-1-1-11-1111-1-1-11-1111-1-1-1-11111-1-111-1-1111-11-1-11
χ2711111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1111-1-1-1-111-1-1-1-11111-1111111-111-1-1-1-11-111-1-11111-1-1-1-1-1-11111-1-11-1-11-11
χ2811111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1111-1-1-1-111-1-1-1-11111-11-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-111-11-1
χ2911111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-1111-1-1-11111-1-11111-1-1-1-11-11111-1-11-11111-1-11-1-1-11111-1-1-1-111-1-1-1-1111-11-1-11
χ3011111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-1111-1-1-11111-1-11111-1-1-1-11-1-1-1-1-1-11-1111-1-1-11-11-1-11111-1-111-1-11111-1-1-11-111-1
χ3111111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-111-11-1-111-1-1111111-1-1-1-1-1111111-111-1-1-1-11-11111-1-1-1-111-1-1-1-111-1-111-111-11-1
χ3211111-1-1-1-111111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1111111-1-111-11-1-111-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-11-1-11-11
χ3322222222222222-2-2-2-22200000000-2-2-2-222222222-2-200002-2-2-2-2-2-2-222000000002-200000000000000002-22-200000000000000000000
χ3422222222222222-2-2-2-22200000000-2-2-2-222222222-2-20000-22-2-2-2-222-2-200000000-220000000000000000-22-2200000000000000000000
χ3522222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-200002-22222-2-222000000002-20000000000000000-22-2200000000000000000000
χ3622222222222222-2-2-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-22222222-2-200000000-2200000000000000002-22-200000000000000000000
χ37222222222-2-22-2-22222-2-222-2-222-2-2-22-2-2000000002-22-22-20000000000000000000022-2-2022000000-2-20000000002-200000000000000
χ38222222222-2-22-2-22222-2-222-2-222-2-2-22-2-2000000002-22-22-200000000000000000000-2-2220-2-200000022000000000-2200000000000000
χ39222222222-2-22-2-22222-2-2-2-222-2-222-22-2-2000000002-2-22-220000000000000000000022-2-20-2-2000000220000000002-200000000000000
χ40222222222-2-22-2-22222-2-2-2-222-2-222-22-2-2000000002-2-22-2200000000000000000000-2-222022000000-2-2000000000-2200000000000000
χ4122222-2-2-2-22222222-2-2-2-200000000-22222222-2-2-2-2-2-2000022-2-222-2-2-2-2000000002200000000000000002-2-2200000000000000000000
χ4222222-2-2-2-22222222-2-2-2-200000000-22222222-2-2-2-2-2-20000-2-2-2-222222200000000-2-20000000000000000-222-200000000000000000000
χ4322222-2-2-2-22222222-2-2-2-200000000-2222-2-2-2-22222-2-200002222-2-2-2-2-2-200000000220000000000000000-222-200000000000000000000
χ4422222-2-2-2-22222222-2-2-2-200000000-2222-2-2-2-22222-2-20000-2-222-2-2222200000000-2-200000000000000002-2-2200000000000000000000
χ4522222-2-2-2-2-2-22-2-2-2-2222222-2-2-2-222-2-222000000002-22-2-220000000000000000000022-2-202-2000000-22000000000-2200000000000000
χ4622222-2-2-2-2-2-22-2-2-2-2222222-2-2-2-222-2-222000000002-22-2-2200000000000000000000-2-2220-220000002-20000000002-200000000000000
χ4722222-2-2-2-2-2-22-2-2-2-22222-2-22222-2-2-2-222000000002-2-222-20000000000000000000022-2-20-220000002-2000000000-2200000000000000
χ4822222-2-2-2-2-2-22-2-2-2-22222-2-22222-2-2-2-222000000002-2-222-200000000000000000000-2-22202-2000000-220000000002-200000000000000
χ492222-222-2-222-2-2-222222-222-2-222-2-2-2-22-200000000-22-22-220000000000000000000000000002002-2000-200000000002-22-20000000000
χ502222-222-2-222-2-2-222222-222-2-222-2-2-2-22-200000000-22-22-22000000000000000000000000000-200-2200020000000000-22-220000000000
χ512222-222-2-222-2-2-222222-2-2-222-2-222-2-22-200000000-222-22-20000000000000000000000000002002-2000-20000000000-22-220000000000
χ522222-222-2-222-2-2-222222-2-2-222-2-222-2-22-200000000-222-22-2000000000000000000000000000-200-22000200000000002-22-20000000000
χ532222-222-2-2-2-2-2222222-22222222222-2-2200000000-2-2-2-2-2-22200002-22-200000000-2-2000020002-200-2000000000000000000000000000
χ542222-222-2-2-2-2-2222222-22222222222-2-2200000000-2-2-2-2-2-2-2-20000-22-2200000000220000-2000-22002000000000000000000000000000
χ552222-222-2-2-2-2-2222222-22-2-2-2-2-2-2-2-22-2-2200000000-2-222222200002-22-200000000-2-20000-2000-22002000000000000000000000000000
χ562222-222-2-2-2-2-2222222-22-2-2-2-2-2-2-2-22-2-2200000000-2-22222-2-20000-22-220000000022000020002-200-2000000000000000000000000000
χ572222-222-2-2-2-2-222-2-2-2-2-2200000000-222-2000000002200002-20000-222-222-2-222-2-2-22000000000000000000002-22-20000000000000000
χ582222-222-2-2-2-2-222-2-2-2-2-2200000000-222-2000000002200002-20000-222-2-2-222-2-222-2200000000000000000000-22-220000000000000000
χ592222-222-2-2-2-2-222-2-2-2-2-2200000000-222-200000000220000-2200002-2-2222-2-222-2-22-200000000000000000000-22-220000000000000000
χ602222-222-2-2-2-2-222-2-2-2-2-2200000000-222-200000000220000-2200002-2-22-2-222-2-2222-2000000000000000000002-22-20000000000000000
χ612222-2-2-22222-2-2-2-2-222-2222-2-2-2-222-22-2200000000-22-222-2000000000000000000000000000200-22000-200000000002-2-220000000000
χ622222-2-2-22222-2-2-2-2-222-2222-2-2-2-222-22-2200000000-22-222-2000000000000000000000000000-2002-200020000000000-222-20000000000
χ632222-2-2-22222-2-2-2-2-222-22-2-22222-2-2-22-2200000000-222-2-22000000000000000000000000000200-22000-20000000000-222-20000000000
χ642222-2-2-22222-2-2-2-2-222-22-2-22222-2-2-22-2200000000-222-2-22000000000000000000000000000-2002-2000200000000002-2-220000000000
χ652222-2-2-222-2-2-22222-2-22-200000000-2-2-2200000000220000220000-22-2222-2-2-2-222-2-2000000000000000000002-2-220000000000000000
χ662222-2-2-222-2-2-22222-2-22-200000000-2-2-2200000000220000220000-22-22-2-22222-2-2-2-200000000000000000000-222-20000000000000000
χ672222-2-2-222-2-2-22222-2-22-200000000-2-2-2200000000220000-2-200002-22-222-2-2-2-2222200000000000000000000-222-20000000000000000
χ682222-2-2-222-2-2-22222-2-22-200000000-2-2-2200000000220000-2-200002-22-2-2-22222-2-222000000000000000000002-2-220000000000000000
χ692222-2-2-222-2-2-222-2-2222-22222-2-2-2-2222-200000000-2-2-2-2222-200002-2-2200000000-2200002000-2200-2000000000000000000000000000
χ702222-2-2-222-2-2-222-2-2222-22222-2-2-2-2222-200000000-2-2-2-222-220000-222-2000000002-20000-20002-2002000000000000000000000000000
χ712222-2-2-222-2-2-222-2-2222-2-2-2-2-22222222-200000000-2-222-2-22-200002-2-2200000000-220000-20002-2002000000000000000000000000000
χ722222-2-2-222-2-2-222-2-2222-2-2-2-2-22222222-200000000-2-222-2-2-220000-222-2000000002-200002000-2200-2000000000000000000000000000
χ73444444444-4-44-4-4-4-4-4-4-4-4000000004-44400000000-440000000000000000000000000000000000000000000000000000000000000000
χ7444444-4-4-4-4-4-44-4-444-4-4440000000044-4-400000000-440000000000000000000000000000000000000000000000000000000000000000
χ754444-444-4-444-4-4-4-4-4-4-44-40000000044-44000000004-40000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-44444-4-4-444-4-4-44000000004-44-4000000004-40000000000000000000000000000000000000000000000000000000000000000
χ7744-4-404-400000004-44-400004-4004-400002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ7844-4-404-400000004-44-400004-4004-40000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ7944-4-404-400000004-44-40000-4400-4400002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i0000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ8044-4-404-400000004-44-40000-4400-440000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i00002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ8144-4-404-40000000-44-44004-4004-40000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i00002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ8244-4-404-40000000-44-44004-4004-4000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i0000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ8344-4-404-40000000-44-4400-4400-440000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i0000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000
χ8444-4-404-40000000-44-4400-4400-44000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000
χ8544-4-40-4400000004-4-44004-400-440000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i00002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000
χ8644-4-40-4400000004-4-44004-400-44000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i0000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000
χ8744-4-40-4400000004-4-4400-44004-40000002i2i−2i−2i−2i−2i2i2i00000000−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000
χ8844-4-40-4400000004-4-4400-44004-4000000−2i−2i2i2i2i2i−2i−2i000000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000
χ8944-4-40-440000000-444-400004-400-4400002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ9044-4-40-440000000-444-400004-400-440000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ9144-4-40-440000000-444-40000-44004-400002i2i−2i−2i−2i−2i2i2i000000002i−2i−2i2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000
χ9244-4-40-440000000-444-40000-44004-40000−2i−2i2i2i2i2i−2i−2i00000000−2i2i2i−2i00002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000
χ934-4-44-400004-444-400000000000000000000004-44-40000000000000000000000000022−2222−22000000000000000000000000000022−22000000
χ944-4-44-400004-444-400000000000000000000004-44-400000000000000000000000000−2222−22220000000000000000000000000000−2222000000
χ954-4-44-400004-444-40000000000000000000000-44-440000000000000000000000000022−2222−220000000000000000000000000000−2222000000
χ964-4-44-400004-444-40000000000000000000000-44-4400000000000000000000000000−2222−2222000000000000000000000000000022−22000000
χ974-4-44-40000-444-440000000000000000004-44-400000000000000000000000000000022−22−22220000000000000000000000000022−2200000000
χ984-4-44-40000-444-440000000000000000004-44-4000000000000000000000000000000−222222−2200000000000000000000000000−222200000000
χ994-4-44-40000-444-44000000000000000000-44-4400000000000000000000000000000022−22−222200000000000000000000000000−222200000000
χ1004-4-44-40000-444-44000000000000000000-44-44000000000000000000000000000000−222222−220000000000000000000000000022−2200000000
χ1018-88-80008-8000000000000000000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-80008-800000000000000000000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8000-88000000000000000000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8000-8800000000000000000000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88800008-8-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-8880000-88-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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