Finite Group Databasebeta

← Group #72341554

Character table — Group #72341554

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11246666661212121212121224243232484848484848486464641124666666121212121212122424323248484848484848646464
order1242222444222244488362444888661222422224442222444886624448886612
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-111-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1111
χ3111-11111111-1-1-11-1-11111-1-1-1-1111-1-11111-11111111-1-1-11-1-11111-1-1-1-1111-1-11
χ4111-11111111-1-1-11-1-1-1-1111111-1-1-1-1-11111-11111111-1-1-11-1-1-1-1111111-1-1-1-1-11
χ52222222222222222200-1-10000000-1-1-12222222222222222200-1-10000000-1-1-1
χ6222-22222222-2-2-22-2-200-1-1000000011-1222-22222222-2-2-22-2-200-1-1000000011-1
χ722-20222-2-2-2-20002000022000000000-222-20222-2-2-2-20002000022000000000-2
χ822-20222-2-2-2-200020000-1-10000000−i3i3122-20222-2-2-2-200020000-1-10000000−i3i31
χ922-20222-2-2-2-200020000-1-10000000i3−i3122-20222-2-2-2-200020000-1-10000000i3−i31
χ1033333-1-13-1-1-13-1-1-1-1-1110011-1-11-1-100033333-1-13-1-1-13-1-1-1-1-1110011-1-11-1-1000
χ1133333-1-13-1-1-13-1-1-1-1-1-1-100-1-111-11100033333-1-13-1-1-13-1-1-1-1-1-1-100-1-111-111000
χ123333-13-1-13-1-1-13-1-1-1-111001-11-1-11-10003333-13-1-13-1-1-13-1-1-1-111001-11-1-11-1000
χ133333-13-1-13-1-1-13-1-1-1-1-1-100-11-111-110003333-13-1-13-1-1-13-1-1-1-1-1-100-11-111-11000
χ143333-1-13-1-13-1-1-13-1-1-111001-1-11-1-110003333-1-13-1-13-1-1-13-1-1-111001-1-11-1-11000
χ153333-1-13-1-13-1-1-13-1-1-1-1-100-111-111-10003333-1-13-1-13-1-1-13-1-1-1-1-100-111-111-1000
χ16333-33-1-13-1-1-1-311-1111100-1-1111-1-1000333-33-1-13-1-1-1-311-1111100-1-1111-1-1000
χ17333-33-1-13-1-1-1-311-111-1-10011-1-1-111000333-33-1-13-1-1-1-311-111-1-10011-1-1-111000
χ18333-3-13-1-13-1-11-31-1111100-11-11-11-1000333-3-13-1-13-1-11-31-1111100-11-11-11-1000
χ19333-3-13-1-13-1-11-31-111-1-1001-11-11-11000333-3-13-1-13-1-11-31-111-1-1001-11-11-11000
χ20333-3-1-13-1-13-111-3-1111100-111-1-1-11000333-3-1-13-1-13-111-3-1111100-111-1-1-11000
χ21333-3-1-13-1-13-111-3-111-1-1001-1-1111-1000333-3-1-13-1-13-111-3-111-1-1001-1-1111-1000
χ226666-2-2-2-2-2-22-2-2-2222000000000000006666-2-2-2-2-2-22-2-2-222200000000000000
χ23666-6-2-2-2-2-2-222222-2-200000000000000666-6-2-2-2-2-2-222222-2-200000000000000
χ2466-606-2-2-6222000-2000000000000000066-606-2-2-6222000-20000000000000000
χ2566-60-26-22-622000-2000000000000000066-60-26-22-622000-20000000000000000
χ2666-60-2-2622-62000-2000000000000000066-60-2-2622-62000-20000000000000000
χ2766-60-2-2-2222-200024-40000000000000066-60-2-2-2222-200024-400000000000000
χ2866-60-2-2-2222-20002-440000000000000066-60-2-2-2222-20002-4400000000000000
χ298-800000000000000022−222-200000000008-800000000000000022−222-20000000000
χ308-8000000000000000−22222-200000000008-8000000000000000−22222-20000000000
χ3116-1600000000000000000-22000000000016-1600000000000000000-220000000000
χ321111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3311111111111111111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1
χ34111-11111111-1-1-11-1-11111-1-1-1-1111-1-11-1-1-11-1-1-1-1-1-1-1111-111-1-1-1-11111-1-1-111-1
χ35111-11111111-1-1-11-1-1-1-1111111-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1111-11111-1-1-1-1-1-111111-1
χ362222222222222222200-1-10000000-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200110000000111
χ37222-22222222-2-2-22-2-200-1-1000000011-1-2-2-22-2-2-2-2-2-2-2222-22200110000000-1-11
χ3822-20222-2-2-2-20002000022000000000-2-2-220-2-2-22222000-20000-2-20000000002
χ3922-20222-2-2-2-200020000-1-10000000−i3i31-2-220-2-2-22222000-20000110000000i3−i3-1
χ4022-20222-2-2-2-200020000-1-10000000i3−i31-2-220-2-2-22222000-20000110000000−i3i3-1
χ4133333-1-13-1-1-13-1-1-1-1-1110011-1-11-1-1000-3-3-3-3-311-3111-311111-1-100-1-111-111000
χ4233333-1-13-1-1-13-1-1-1-1-1-1-100-1-111-111000-3-3-3-3-311-3111-311111110011-1-11-1-1000
χ433333-13-1-13-1-1-13-1-1-1-111001-11-1-11-1000-3-3-3-31-311-3111-31111-1-100-11-111-11000
χ443333-13-1-13-1-1-13-1-1-1-1-1-100-11-111-11000-3-3-3-31-311-3111-3111111001-11-1-11-1000
χ453333-1-13-1-13-1-1-13-1-1-111001-1-11-1-11000-3-3-3-311-311-3111-3111-1-100-111-111-1000
χ463333-1-13-1-13-1-1-13-1-1-1-1-100-111-111-1000-3-3-3-311-311-3111-311111001-1-11-1-11000
χ47333-33-1-13-1-1-1-311-1111100-1-1111-1-1000-3-3-33-311-31113-1-11-1-1-1-10011-1-1-111000
χ48333-33-1-13-1-1-1-311-111-1-10011-1-1-111000-3-3-33-311-31113-1-11-1-11100-1-1111-1-1000
χ49333-3-13-1-13-1-11-31-1111100-11-11-11-1000-3-3-331-311-311-13-11-1-1-1-1001-11-11-11000
χ50333-3-13-1-13-1-11-31-111-1-1001-11-11-11000-3-3-331-311-311-13-11-1-11100-11-11-11-1000
χ51333-3-1-13-1-13-111-3-1111100-111-1-1-11000-3-3-3311-311-31-1-131-1-1-1-1001-1-1111-1000
χ52333-3-1-13-1-13-111-3-111-1-1001-1-1111-1000-3-3-3311-311-31-1-131-1-11100-111-1-1-11000
χ536666-2-2-2-2-2-22-2-2-222200000000000000-6-6-6-6222222-2222-2-2-200000000000000
χ54666-6-2-2-2-2-2-222222-2-200000000000000-6-6-66222222-2-2-2-2-22200000000000000
χ5566-606-2-2-6222000-20000000000000000-6-660-6226-2-2-200020000000000000000
χ5666-60-26-22-622000-20000000000000000-6-6602-62-26-2-200020000000000000000
χ5766-60-2-2622-62000-20000000000000000-6-66022-6-2-26-200020000000000000000
χ5866-60-2-2-2222-200024-400000000000000-6-660222-2-2-22000-2-4400000000000000
χ5966-60-2-2-2222-20002-4400000000000000-6-660222-2-2-22000-24-400000000000000
χ608-800000000000000022−222-20000000000-88000000000000000−2222-220000000000
χ618-8000000000000000−22222-20000000000-8800000000000000022−22-220000000000
χ6216-1600000000000000000-220000000000-1616000000000000000002-20000000000

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