Finite Group Databasebeta

← Group #72340805

Character table — Group #72340805

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11246666661212121212121224243232484848484848486464641124666666121212121212122424323248484848484848646464
order1242222444222244488364444888661222422224442222444886644448886612
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-111-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1111
χ3111-11111111-1-1-11-1-11111-111-11-1-1-1-11111-11111111-1-1-11-1-11111-111-11-1-1-1-11
χ4111-11111111-1-1-11-1-1-1-1111-1-11-111-1-11111-11111111-1-1-11-1-1-1-1111-1-11-111-1-11
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
χ722-202-2-222-22000-2000022000000000-222-202-2-222-22000-2000022000000000-2
χ822-202-2-222-22000-20000-1-10000000−i3i3122-202-2-222-22000-20000-1-10000000−i3i31
χ922-202-2-222-22000-20000-1-10000000i3−i3122-202-2-222-22000-20000-1-10000000i3−i31
χ1033333-1-1-1-13-13-1-1-1-1-111001-1-111-1-100033333-1-1-1-13-13-1-1-1-1-111001-1-111-1-1000
χ1133333-1-1-1-13-13-1-1-1-1-1-1-100-111-1-11100033333-1-1-1-13-13-1-1-1-1-1-1-100-111-1-111000
χ123333-13-13-1-1-1-1-1-1-13-11100-11-11-11-10003333-13-13-1-1-1-1-1-1-13-11100-11-11-11-1000
χ133333-13-13-1-1-1-1-1-1-13-1-1-1001-11-11-110003333-13-13-1-1-1-1-1-1-13-1-1-1001-11-11-11000
χ143333-1-13-13-1-1-1-1-1-1-131100-1-111-1-110003333-1-13-13-1-1-1-1-1-1-131100-1-111-1-11000
χ153333-1-13-13-1-1-1-1-1-1-13-1-10011-1-111-10003333-1-13-13-1-1-1-1-1-1-13-1-10011-1-111-1000
χ16333-33-1-1-1-13-1-311-1111100-1-1-1-1111000333-33-1-1-1-13-1-311-1111100-1-1-1-1111000
χ17333-33-1-1-1-13-1-311-111-1-1001111-1-1-1000333-33-1-1-1-13-1-311-111-1-1001111-1-1-1000
χ18333-3-13-13-1-1-1111-1-31110011-1-1-1-11000333-3-13-13-1-1-1111-1-31110011-1-1-1-11000
χ19333-3-13-13-1-1-1111-1-31-1-100-1-11111-1000333-3-13-13-1-1-1111-1-31-1-100-1-11111-1000
χ20333-3-1-13-13-1-1111-11-311001-11-1-11-1000333-3-1-13-13-1-1111-11-311001-11-1-11-1000
χ21333-3-1-13-13-1-1111-11-3-1-100-11-111-11000333-3-1-13-13-1-1111-11-3-1-100-11-111-11000
χ226666-2-2-2-2-2-22-2222-2-2000000000000006666-2-2-2-2-2-22-2222-2-200000000000000
χ23666-6-2-2-2-2-2-222-2-222200000000000000666-6-2-2-2-2-2-222-2-222200000000000000
χ2466-60622-2-2-6-20002000000000000000066-60622-2-2-6-200020000000000000000
χ2566-60-222-2-22204-4-2000000000000000066-60-222-2-22204-4-20000000000000000
χ2666-60-222-2-2220-44-2000000000000000066-60-222-2-2220-44-20000000000000000
χ2766-60-22-6-262-20002000000000000000066-60-22-6-262-200020000000000000000
χ2866-60-2-626-22-20002000000000000000066-60-2-626-22-200020000000000000000
χ298-8000000000000000−2i22i22-200000000008-8000000000000000−2i22i22-20000000000
χ308-80000000000000002i2−2i22-200000000008-80000000000000002i2−2i22-20000000000
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
χ34111-11111111-1-1-11-1-11111-111-11-1-1-1-11-1-1-11-1-1-1-1-1-1-1111-111-1-1-1-11-1-11-11111-1
χ35111-11111111-1-1-11-1-1-1-1111-1-11-111-1-11-1-1-11-1-1-1-1-1-1-1111-11111-1-1-111-11-1-111-1
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
χ3822-202-2-222-22000-2000022000000000-2-2-220-222-2-22-200020000-2-20000000002
χ3922-202-2-222-22000-20000-1-10000000−i3i31-2-220-222-2-22-200020000110000000i3−i3-1
χ4022-202-2-222-22000-20000-1-10000000i3−i31-2-220-222-2-22-200020000110000000−i3i3-1
χ4133333-1-1-1-13-13-1-1-1-1-111001-1-111-1-1000-3-3-3-3-31111-31-311111-1-100-111-1-111000
χ4233333-1-1-1-13-13-1-1-1-1-1-1-100-111-1-111000-3-3-3-3-31111-31-31111111001-1-111-1-1000
χ433333-13-13-1-1-1-1-1-1-13-11100-11-11-11-1000-3-3-3-31-31-31111111-31-1-1001-11-11-11000
χ443333-13-13-1-1-1-1-1-1-13-1-1-1001-11-11-11000-3-3-3-31-31-31111111-311100-11-11-11-1000
χ453333-1-13-13-1-1-1-1-1-1-131100-1-111-1-11000-3-3-3-311-31-31111111-3-1-10011-1-111-1000
χ463333-1-13-13-1-1-1-1-1-1-13-1-10011-1-111-1000-3-3-3-311-31-31111111-31100-1-111-1-11000
χ47333-33-1-1-1-13-1-311-1111100-1-1-1-1111000-3-3-33-31111-313-1-11-1-1-1-1001111-1-1-1000
χ48333-33-1-1-1-13-1-311-111-1-1001111-1-1-1000-3-3-33-31111-313-1-11-1-11100-1-1-1-1111000
χ49333-3-13-13-1-1-1111-1-31110011-1-1-1-11000-3-3-331-31-3111-1-1-113-1-1-100-1-11111-1000
χ50333-3-13-13-1-1-1111-1-31-1-100-1-11111-1000-3-3-331-31-3111-1-1-113-1110011-1-1-1-11000
χ51333-3-1-13-13-1-1111-11-311001-11-1-11-1000-3-3-3311-31-311-1-1-11-13-1-100-11-111-11000
χ52333-3-1-13-13-1-1111-11-3-1-100-11-111-11000-3-3-3311-31-311-1-1-11-1311001-11-1-11-1000
χ536666-2-2-2-2-2-22-2222-2-200000000000000-6-6-6-6222222-22-2-2-22200000000000000
χ54666-6-2-2-2-2-2-222-2-222200000000000000-6-6-66222222-2-222-2-2-200000000000000
χ5566-60622-2-2-6-200020000000000000000-6-660-6-2-22262000-20000000000000000
χ5666-60-222-2-22204-4-20000000000000000-6-6602-2-222-2-20-4420000000000000000
χ5766-60-222-2-2220-44-20000000000000000-6-6602-2-222-2-204-420000000000000000
χ5866-60-22-6-262-200020000000000000000-6-6602-262-6-22000-20000000000000000
χ5966-60-2-626-22-200020000000000000000-6-66026-2-62-22000-20000000000000000
χ608-8000000000000000−2i22i22-20000000000-880000000000000002i2−2i2-220000000000
χ618-80000000000000002i2−2i22-20000000000-88000000000000000−2i22i2-220000000000
χ6216-1600000000000000000-220000000000-1616000000000000000002-20000000000

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