Finite Group Databasebeta

← Group #72338136

Character table — Group #72338136

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size111122224444444444488888888888888816161616161616161616161616161616163232111122224444444444488888888888888816161616161616161616161616161616163232
order1222224422224444444222244444444444224444444444444448822222244222244444442222444444444442244444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111111-1-1-1-111-1-11-1-1-1-1-1-111111111-1-11111111111111111111-1-1-1-111111-1-1-1-111-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-111-1-111-1-1-1-11111-1-111111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-111-1-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-11111-111111111-1-1-1-1-11111-1-1-1-11-1-11-11-11-111-1-111-1-11-1111111-1-11111-111111111-1-1-1-1-11111-1-1-1-11-1-11-11-11-111-1-111-1-11-1
χ10111111-1-11111-111111111-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-111-1-111-11111111-1-11111-111111111-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-111-1-111-11
χ11111111-1-11111-1111111-1-111-1-1-111-1-111-1-11-1-11-1-11-11-1-111-1-1111-1111111-1-11111-1111111-1-111-1-1-111-1-111-1-11-1-11-1-11-11-1-111-1-1111-1
χ12111111-1-11111-1111111-1-111-1-1-111-1-111-1-1-11-1-11-11-1111-1-111-1-1-11111111-1-11111-1111111-1-111-1-1-111-1-111-1-1-11-1-11-11-1111-1-111-1-1-11
χ13111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-111111-111-11-1-1111-1-1-1-111-11111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-111111-111-11-1-1111-1-1-1-111-11
χ14111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-11111-1-11-1111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-11111-1-11-1
χ15111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-1111-111-1-111-1-1-11111-1-1-11111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-1111-111-1-111-1-1-11111-1-1-11
χ16111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-111-111-11-111-111-1-1-1-1111-1111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-111-111-11-111-111-1-1-1-1111-1
χ172222222222-2-22-20000-200002-2-2002222000000000-2-200000000002222222222-2-22-20000-200002-2-2002222000000000-2-20000000000
χ182222222222-2-22-20000-200002-2-200-2-2-2-20000000002200000000002222222222-2-22-20000-200002-2-200-2-2-2-2000000000220000000000
χ1922222222-2-2222-20000-22222-22-20000000000000-2-200000000000022222222-2-2222-20000-22222-22-20000000000000-2-2000000000000
χ2022222222-2-2222-20000-2-2-2-2-2-22-200000000000002200000000000022222222-2-2222-20000-2-2-2-2-2-22-2000000000000022000000000000
χ2122222222-2-2-2-222222220000-2-22-2-200002200-2000000000000000022222222-2-2-2-222222220000-2-22-2-200002200-20000000000000000
χ2222222222-2-2-2-222-2-2-2-220000-2-22220000-2-2002000000000000000022222222-2-2-2-222-2-2-2-220000-2-22220000-2-20020000000000000000
χ23222222-2-222-2-2-2-20000-20000-2220022-2-2000000000-220000000000222222-2-222-2-2-2-20000-20000-2220022-2-2000000000-220000000000
χ24222222-2-222-2-2-2-20000-20000-22200-2-2220000000002-20000000000222222-2-222-2-2-2-20000-20000-22200-2-2220000000002-20000000000
χ25222222-2-2-2-222-2-20000-222-2-22-220000000000000-22000000000000222222-2-2-2-222-2-20000-222-2-22-220000000000000-22000000000000
χ26222222-2-2-2-222-2-20000-2-2-2222-2200000000000002-2000000000000222222-2-2-2-222-2-20000-2-2-2222-2200000000000002-2000000000000
χ27222222-2-2-2-2-2-2-2222222000022-2-2-20000-2-20020000000000000000222222-2-2-2-2-2-2-2222222000022-2-2-20000-2-20020000000000000000
χ28222222-2-2-2-2-2-2-22-2-2-2-22000022-22200002200-20000000000000000222222-2-2-2-2-2-2-22-2-2-2-22000022-22200002200-20000000000000000
χ292-22-22-2002-22-2022i2i−2i−2i-200000002i−2i000000000000000002-2002i−2i002-22-22-2002-22-2022i2i−2i−2i-200000002i−2i000000000000000002-2002i−2i00
χ302-22-22-2002-22-2022i2i−2i−2i-200000002i−2i00000000000000000-2200−2i2i002-22-22-2002-22-2022i2i−2i−2i-200000002i−2i00000000000000000-2200−2i2i00
χ312-22-22-2002-22-202−2i−2i2i2i-20000000−2i2i000000000000000002-200−2i2i002-22-22-2002-22-202−2i−2i2i2i-20000000−2i2i000000000000000002-200−2i2i00
χ322-22-22-2002-22-202−2i−2i2i2i-20000000−2i2i00000000000000000-22002i−2i002-22-22-2002-22-202−2i−2i2i2i-20000000−2i2i00000000000000000-22002i−2i00
χ332-22-22-200-22-22022i2i−2i−2i-20000000−2i2i0000000000000002-2002i−2i00002-22-22-200-22-22022i2i−2i−2i-20000000−2i2i0000000000000002-2002i−2i0000
χ342-22-22-200-22-22022i2i−2i−2i-20000000−2i2i000000000000000-2200−2i2i00002-22-22-200-22-22022i2i−2i−2i-20000000−2i2i000000000000000-2200−2i2i0000
χ352-22-22-200-22-2202−2i−2i2i2i-200000002i−2i0000000000000002-200−2i2i00002-22-22-200-22-2202−2i−2i2i2i-200000002i−2i0000000000000002-200−2i2i0000
χ362-22-22-200-22-2202−2i−2i2i2i-200000002i−2i000000000000000-22002i−2i00002-22-22-200-22-2202−2i−2i2i2i-200000002i−2i000000000000000-22002i−2i0000
χ374444-4-4440000-4000000000000000000000220-2-2000000000000004444-4-4440000-4000000000000000000000220-2-200000000000000
χ384444-4-4440000-4000000000000000000000-2-2022000000000000004444-4-4440000-4000000000000000000000-2-202200000000000000
χ394444-4-4-4-4000040000000000000000000002-20-22000000000000004444-4-4-4-4000040000000000000000000002-20-2200000000000000
χ404444-4-4-4-400004000000000000000000000-2202-2000000000000004444-4-4-4-400004000000000000000000000-2202-200000000000000
χ4144-4-4004-40000002i−2i2i−2i02-22-2000002i−2i2i−2i2i−2i000000000000000000044-4-4004-40000002i−2i2i−2i02-22-2000002i−2i2i−2i2i−2i0000000000000000000
χ4244-4-4004-40000002i−2i2i−2i0-22-2200000−2i2i−2i2i2i−2i000000000000000000044-4-4004-40000002i−2i2i−2i0-22-2200000−2i2i−2i2i2i−2i0000000000000000000
χ4344-4-4004-4000000−2i2i−2i2i02-22-200000−2i2i−2i2i−2i2i000000000000000000044-4-4004-4000000−2i2i−2i2i02-22-200000−2i2i−2i2i−2i2i0000000000000000000
χ4444-4-4004-4000000−2i2i−2i2i0-22-22000002i−2i2i−2i−2i2i000000000000000000044-4-4004-4000000−2i2i−2i2i0-22-22000002i−2i2i−2i−2i2i0000000000000000000
χ4544-4-400-440000002i−2i2i−2i02-2-22000002i−2i−2i2i−2i2i000000000000000000044-4-400-440000002i−2i2i−2i02-2-22000002i−2i−2i2i−2i2i0000000000000000000
χ4644-4-400-440000002i−2i2i−2i0-222-200000−2i2i2i−2i−2i2i000000000000000000044-4-400-440000002i−2i2i−2i0-222-200000−2i2i2i−2i−2i2i0000000000000000000
χ4744-4-400-44000000−2i2i−2i2i02-2-2200000−2i2i2i−2i2i−2i000000000000000000044-4-400-44000000−2i2i−2i2i02-2-2200000−2i2i2i−2i2i−2i0000000000000000000
χ4844-4-400-44000000−2i2i−2i2i0-222-2000002i−2i−2i2i2i−2i000000000000000000044-4-400-44000000−2i2i−2i2i0-222-2000002i−2i−2i2i2i−2i0000000000000000000
χ494-44-44-4004-4-440-40000400000000000000000000000000000000004-44-44-4004-4-440-4000040000000000000000000000000000000000
χ504-44-44-400-444-40-40000400000000000000000000000000000000004-44-44-400-444-40-4000040000000000000000000000000000000000
χ518-88-8-88000000000000000000000000000000000000000000000008-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000004-4-44000000000000000000000000000000000008-8-8800000000004-4-4400000000000000000000000000000000000
χ538-8-880000000000-444-4000000000000000000000000000000000008-8-880000000000-444-400000000000000000000000000000000000
χ5411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ551111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111111
χ561111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1111111111111-1-1
χ571111111111111111111-1-1-1-111111-1-1-1-111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1111111-1-1-1-1-1-1-1-111
χ5811111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-1-1-1-1111111
χ5911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111111-1-1-1-1-1-1
χ6011111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-111-1-1-1-111-1-11-1-111-1-11111-1-1-1-111
χ6111111111111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-111-1-1-1-1111111111-1-1-1-1-1-11111-1-1
χ62111111-1-11111-111111111-1-1-1-1-11111-1-1-1-11-1-11-11-11-111-1-111-1-11-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11111-111-11-11-11-1-111-1-111-11
χ63111111-1-11111-111111111-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-111-1-111-11-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111111-111-1-11-1111-1-111-1-11-1
χ64111111-1-11111-1111111-1-111-1-1-111-1-111-1-11-1-11-1-11-11-1-111-1-1111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-111-1-1111-1-111-1-111-111-111-11-111-1-111-1-1-11
χ65111111-1-11111-1111111-1-111-1-1-111-1-111-1-1-11-1-11-11-1111-1-111-1-1-11-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-111-1-1111-1-111-1-1111-111-11-11-1-1-111-1-1111-1
χ66111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-111111-111-11-1-1111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-11-11111-1-1-1111111111-1-1-1-1-11-1-11-111-1-1-11111-1-11-1
χ67111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1111111111-1-1-1-11-1-11-1-111-111-1-1-1-111-11
χ68111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-1111-111-1-111-1-1-11111-1-1-11-1-1-1-1-1-111-1-1-1-11-11111-111-1-111111-1-111-1-1-11-1-111-1-1111-1-1-1-1111-1
χ69111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-111-111-11-111-111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11-11111-111-1-111111-1-111-1-11-1-11-11-1-11-1-11111-1-1-11
χ702222222222-2-22-20000-200002-2-2002222000000000-2-20000000000-2-2-2-2-2-2-2-2-2-222-22000020000-22200-2-2-2-2000000000220000000000
χ712222222222-2-22-20000-200002-2-200-2-2-2-2000000000220000000000-2-2-2-2-2-2-2-2-2-222-22000020000-222002222000000000-2-20000000000
χ7222222222-2-2222-20000-22222-22-20000000000000-2-2000000000000-2-2-2-2-2-2-2-222-2-2-2200002-2-2-2-22-22000000000000022000000000000
χ7322222222-2-2222-20000-2-2-2-2-2-22-2000000000000022000000000000-2-2-2-2-2-2-2-222-2-2-220000222222-220000000000000-2-2000000000000
χ7422222222-2-2-2-222222220000-2-22-2-200002200-20000000000000000-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2000022-2220000-2-20020000000000000000
χ7522222222-2-2-2-222-2-2-2-220000-2-22220000-2-20020000000000000000-2-2-2-2-2-2-2-22222-2-22222-2000022-2-2-200002200-20000000000000000
χ76222222-2-222-2-2-2-20000-20000-2220022-2-2000000000-220000000000-2-2-2-2-2-222-2-222220000200002-2-200-2-2220000000002-20000000000
χ77222222-2-222-2-2-2-20000-20000-22200-2-2220000000002-20000000000-2-2-2-2-2-222-2-222220000200002-2-20022-2-2000000000-220000000000
χ78222222-2-2-2-222-2-20000-222-2-22-220000000000000-22000000000000-2-2-2-2-2-22222-2-22200002-2-222-22-200000000000002-2000000000000
χ79222222-2-2-2-222-2-20000-2-2-2222-2200000000000002-2000000000000-2-2-2-2-2-22222-2-2220000222-2-2-22-20000000000000-22000000000000
χ80222222-2-2-2-2-2-2-2222222000022-2-2-20000-2-20020000000000000000-2-2-2-2-2-22222222-2-2-2-2-2-20000-2-222200002200-20000000000000000
χ81222222-2-2-2-2-2-2-22-2-2-2-22000022-22200002200-20000000000000000-2-2-2-2-2-22222222-22222-20000-2-22-2-20000-2-20020000000000000000
χ822-22-22-2002-22-2022i2i−2i−2i-200000002i−2i000000000000000002-2002i−2i00-22-22-2200-22-220-2−2i−2i2i2i20000000−2i2i00000000000000000-2200−2i2i00
χ832-22-22-2002-22-2022i2i−2i−2i-200000002i−2i00000000000000000-2200−2i2i00-22-22-2200-22-220-2−2i−2i2i2i20000000−2i2i000000000000000002-2002i−2i00
χ842-22-22-2002-22-202−2i−2i2i2i-20000000−2i2i000000000000000002-200−2i2i00-22-22-2200-22-220-22i2i−2i−2i200000002i−2i00000000000000000-22002i−2i00
χ852-22-22-2002-22-202−2i−2i2i2i-20000000−2i2i00000000000000000-22002i−2i00-22-22-2200-22-220-22i2i−2i−2i200000002i−2i000000000000000002-200−2i2i00
χ862-22-22-200-22-22022i2i−2i−2i-20000000−2i2i0000000000000002-2002i−2i0000-22-22-22002-22-20-2−2i−2i2i2i200000002i−2i000000000000000-2200−2i2i0000
χ872-22-22-200-22-22022i2i−2i−2i-20000000−2i2i000000000000000-2200−2i2i0000-22-22-22002-22-20-2−2i−2i2i2i200000002i−2i0000000000000002-2002i−2i0000
χ882-22-22-200-22-2202−2i−2i2i2i-200000002i−2i0000000000000002-200−2i2i0000-22-22-22002-22-20-22i2i−2i−2i20000000−2i2i000000000000000-22002i−2i0000
χ892-22-22-200-22-2202−2i−2i2i2i-200000002i−2i000000000000000-22002i−2i0000-22-22-22002-22-20-22i2i−2i−2i20000000−2i2i0000000000000002-200−2i2i0000
χ904444-4-4440000-4000000000000000000000220-2-200000000000000-4-4-4-444-4-400004000000000000000000000-2-202200000000000000
χ914444-4-4440000-4000000000000000000000-2-202200000000000000-4-4-4-444-4-400004000000000000000000000220-2-200000000000000
χ924444-4-4-4-4000040000000000000000000002-20-2200000000000000-4-4-4-444440000-4000000000000000000000-2202-200000000000000
χ934444-4-4-4-400004000000000000000000000-2202-200000000000000-4-4-4-444440000-40000000000000000000002-20-2200000000000000
χ9444-4-4004-40000002i−2i2i−2i02-22-2000002i−2i2i−2i2i−2i0000000000000000000-4-44400-44000000−2i2i−2i2i0-22-2200000−2i2i−2i2i−2i2i0000000000000000000
χ9544-4-4004-40000002i−2i2i−2i0-22-2200000−2i2i−2i2i2i−2i0000000000000000000-4-44400-44000000−2i2i−2i2i02-22-2000002i−2i2i−2i−2i2i0000000000000000000
χ9644-4-4004-4000000−2i2i−2i2i02-22-200000−2i2i−2i2i−2i2i0000000000000000000-4-44400-440000002i−2i2i−2i0-22-22000002i−2i2i−2i2i−2i0000000000000000000
χ9744-4-4004-4000000−2i2i−2i2i0-22-22000002i−2i2i−2i−2i2i0000000000000000000-4-44400-440000002i−2i2i−2i02-22-200000−2i2i−2i2i2i−2i0000000000000000000
χ9844-4-400-440000002i−2i2i−2i02-2-22000002i−2i−2i2i−2i2i0000000000000000000-4-444004-4000000−2i2i−2i2i0-222-200000−2i2i2i−2i2i−2i0000000000000000000
χ9944-4-400-440000002i−2i2i−2i0-222-200000−2i2i2i−2i−2i2i0000000000000000000-4-444004-4000000−2i2i−2i2i02-2-22000002i−2i−2i2i2i−2i0000000000000000000
χ10044-4-400-44000000−2i2i−2i2i02-2-2200000−2i2i2i−2i2i−2i0000000000000000000-4-444004-40000002i−2i2i−2i0-222-2000002i−2i−2i2i−2i2i0000000000000000000
χ10144-4-400-44000000−2i2i−2i2i0-222-2000002i−2i−2i2i2i−2i0000000000000000000-4-444004-40000002i−2i2i−2i02-2-2200000−2i2i2i−2i−2i2i0000000000000000000
χ1024-44-44-4004-4-440-4000040000000000000000000000000000000000-44-44-4400-444-4040000-40000000000000000000000000000000000
χ1034-44-44-400-444-40-4000040000000000000000000000000000000000-44-44-44004-4-44040000-40000000000000000000000000000000000
χ1048-88-8-8800000000000000000000000000000000000000000000000-88-888-800000000000000000000000000000000000000000000000
χ1058-8-8800000000004-4-4400000000000000000000000000000000000-888-80000000000-444-400000000000000000000000000000000000
χ1068-8-880000000000-444-400000000000000000000000000000000000-888-800000000004-4-4400000000000000000000000000000000000

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