Finite Group Databasebeta

← Group #72344106

Character table — Group #72344106

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112244666666121212121212121212121224242424242424242424242424323232324848484848484848484848646464646464
order1222442222222222222244444224444444444436664444444444466661212
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111-1-1111111-1-1-1-1-1-11111111111-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-111
χ4111111-1-1111111-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-111
χ51111-1-11-1111111111-1-1-1-1-1-11111-1-1-11-111111111111-1-1-1-1111-1-1-111-1-1-1-1
χ61111-1-11-1111111111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-11111-11111-1-1-111111-1-1-1-1
χ71111-1-1-11111111-1-1-1111-1-1-11111-1-1-1-111111111111-11-1-1-1-1-1-1111-1-111-1-1
χ81111-1-1-11111111-1-1-1111-1-1-111-1-1-111-11-1-1-1-1-1-111111-1111111-1-1-1-1-111-1-1
χ922222222222222222222222220020022000000-1-1-1-100000000000-1-1-1-1-1-1
χ10222222-2-2222222-2-2-2-2-2-22222200200-2-2000000-1-1-1-1000000000001111-1-1
χ112222-2-22-2222222222-2-2-2-2-2-22200-2002-2000000-1-1-1-100000000000-1-11111
χ122222-2-2-22222222-2-2-2222-2-2-22200-200-22000000-1-1-1-10000000000011-1-111
χ132-2-220000-2-2-22220000000002-22-200000222-2-2-222-2-200000000000000000
χ142-2-220000-2-2-22220000000002-2-2200000-2-2-222222-2-200000000000000000
χ15333333333-1-13-1-13-1-13-1-13-1-1-1-111-111-1-11-1-11-1-10000111-1-11-1-11-1-1000000
χ16333333333-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-1-1-111-1110000-1-1-111-111-111000000
χ1733333333-13-1-13-1-13-1-13-1-13-1-1-111-111-1-1-11-1-11-1000011-11-1-11-1-11-1000000
χ1833333333-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-1-11-111-110000-1-11-111-111-11000000
χ1933333333-1-13-1-13-1-13-1-13-1-13-1-111-111-1-1-1-11-1-11000011-1-11-1-11-1-11000000
χ2033333333-1-13-1-13-1-13-1-13-1-13-1-1-1-1-1-1-1-1-111-111-10000-1-111-111-111-1000000
χ21333333-3-33-1-13-1-1-311-3113-1-1-1-111-111111-1-11-1-10000-1-11-1-1-111-111000000
χ22333333-3-33-1-13-1-1-311-3113-1-1-1-1-1-1-1-1-111-111-111000011-1111-1-11-1-1000000
χ23333333-3-3-13-1-13-11-311-31-13-1-1-111-11111-11-1-11-10000-1-1-11-11-111-11000000
χ24333333-3-3-13-1-13-11-311-31-13-1-1-1-1-1-1-1-1111-111-110000111-11-11-1-11-1000000
χ25333333-3-3-1-13-1-1311-311-3-1-13-1-111-11111-1-11-1-110000-1-1-1-1111-111-1000000
χ26333333-3-3-1-13-1-1311-311-3-1-13-1-1-1-1-1-1-11111-111-100001111-1-1-11-1-11000000
χ273333-3-33-33-1-13-1-13-1-1-311-311-1-1111-1-1-111-1-11-1-100001-1-1111-1-1-111000000
χ283333-3-33-33-1-13-1-13-1-1-311-311-1-1-1-1111-11-111-1110000-111-1-1-1111-1-1000000
χ293333-3-33-3-13-1-13-1-13-11-311-31-1-1111-1-1-11-11-1-11-100001-11-11-11-11-11000000
χ303333-3-33-3-13-1-13-1-13-11-311-31-1-1-1-1111-111-111-110000-11-11-11-11-11-1000000
χ313333-3-33-3-1-13-1-13-1-1311-311-3-1-1111-1-1-11-1-11-1-1100001-111-1-1-1111-1000000
χ323333-3-33-3-1-13-1-13-1-1311-311-3-1-1-1-1111-1111-111-10000-11-1-1111-1-1-11000000
χ333333-3-3-333-1-13-1-1-3113-1-1-311-1-1111-1-11-11-1-11-1-10000-11-111-1111-1-1000000
χ343333-3-3-333-1-13-1-1-3113-1-1-311-1-1-1-11111-1-111-11100001-11-1-11-1-1-111000000
χ353333-3-3-33-13-1-13-11-31-13-11-31-1-1111-1-11-1-11-1-11-10000-111-111-11-11-1000000
χ363333-3-3-33-13-1-13-11-31-13-11-31-1-1-1-11111-11-111-1100001-1-11-1-11-11-11000000
χ373333-3-3-33-1-13-1-1311-3-1-1311-3-1-1111-1-11-1-1-11-1-110000-1111-111-1-1-11000000
χ383333-3-3-33-1-13-1-1311-3-1-1311-3-1-1-1-11111-111-111-100001-1-1-11-1-1111-1000000
χ394-4-440000-4-4-44440000000004-40000000000000-2-22200000000000000000
χ4066666666-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220020022000000000000000000000000000
χ41666666-6-6-2-2-2-2-2-2222222-2-2-22200200-2-2000000000000000000000000000
χ426666-6-66-6-2-2-2-2-2-2-2-2-22222222200-2002-2000000000000000000000000000
χ436666-6-6-66-2-2-2-2-2-2222-2-2-22222200-200-22000000000000000000000000000
χ446-6-66000022-6-2-26000000000-222-200000-2-2222-2000000000000000000000
χ456-6-66000022-6-2-26000000000-22-220000022-2-2-22000000000000000000000
χ466-6-6600002-62-26-2000000000-222-200000-22-22-22000000000000000000000
χ476-6-6600002-62-26-2000000000-22-22000002-22-22-2000000000000000000000
χ486-6-660000-6226-2-2000000000-222-2000002-2-2-222000000000000000000000
χ496-6-660000-6226-2-2000000000-22-2200000-2222-2-2000000000000000000000
χ5088-8-80000000000000000000000004i−4i000000002-22-200000000000000000
χ5188-8-8000000000000000000000000−4i4i000000002-22-200000000000000000
χ528-88-88-8000000000000000000000000000000002-2-220000000000000002-2
χ538-88-88-800000000000000000000000000000000-111-100000000000−i3i3−i3i3-11
χ548-88-88-800000000000000000000000000000000-111-100000000000i3−i3i3−i3-11
χ558-88-8-88000000000000000000000000000000002-2-22000000000000000-22
χ568-88-8-8800000000000000000000000000000000-111-100000000000−i3i3i3−i31-1
χ578-88-8-8800000000000000000000000000000000-111-100000000000i3−i3−i3i31-1
χ5812-12-12120000444-4-4-40000000004-40000000000000000000000000000000000
χ591616-16-160000000000000000000000000000000000-22-2200000000000000000

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