Finite Group Databasebeta

← Group #72262790

Character table — Group #72262790

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222224444444422222444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-111
χ7111111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111
χ8111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1111111-1-1
χ91111111111-1-1-1-11-1-1111111111-11-111-111-1-11-1-1-111-1-1-1-111-1-1-1-111-1111-1-11-11-1
χ101111111111-1-1-1-11-1-1111111111-11-1-1-1-111-1-11-11111-1-111-1-111-1-1-1-11-111-1-1-11-11
χ111111111111-1-1-1-11-1-1111111111-1-1111-1-1-111-11-1-111-1-1-1-111-1-1-1-111-11-1-111-11-11
χ121111111111-1-1-1-11-1-1111111111-1-11-1-1-1-1-111-111111-1-111-1-111-1-1-1-11-1-1-1111-11-1
χ131111111111-1-1-1-11-1-11-1-1-1-11111-11-111-111-1-11-1-1-1-1-111-1-1-1-11111-1-111-1-1111-1-11
χ141111111111-1-1-1-11-1-11-1-1-1-11111-11-1-1-1-111-1-11-111-1-1111111-1-11111-1-1-1-111-111-1
χ151111111111-1-1-1-11-1-11-1-1-1-11111-1-1111-1-1-111-11-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ161111111111-1-1-1-11-1-11-1-1-1-11111-1-11-1-1-1-1-111-1111-1-1111111-1-11111-1-111-1-11-1-11
χ172222222222222222222222-2-2-2-2-20000-200000000-2-2-2-200000022000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-20000-2000000002222000000-2-2000000000000
χ19222222222222-2-2-22-2-2000022-2-220022-2000000220000-2-2000000000-200000000
χ20222222222222-2-2-22-2-2000022-2-2200-2-2-2000000-2-2000022000000000200000000
χ21222222222222-2-2-22-2-20000-2-222-20000200000000000000222200-2-2-2000000000
χ22222222222222-2-2-22-2-20000-2-222-20000200000000000000-2-2-2-200222000000000
χ232222222222-2-222-2-22-2000022-2-2-200222000000-2-2000022000000000-200000000
χ242222222222-2-222-2-22-2000022-2-2-200-2-22000000220000-2-2000000000200000000
χ252222222222-2-222-2-22-20000-2-22220000-20000000000000022-2-200-2-22000000000
χ262222222222-2-222-2-22-20000-2-22220000-200000000000000-2-2220022-2000000000
χ272222222222-2-2-2-22-2-222222-2-2-2-220000200000000-2-222000000-2-2000000000000
χ282222222222-2-2-2-22-2-22-2-2-2-2-2-2-2-22000020000000022-2-200000022000000000000
χ2922222-22-2-2-20000200-22i2i−2i−2i2-22-2002000002-20-2002i−2i00000000000000002i−2i0000
χ3022222-22-2-2-20000200-22i2i−2i−2i2-22-200-200000-2202002i−2i0000000000000000−2i2i0000
χ3122222-22-2-2-20000200-22i2i−2i−2i-22-220200002-200-2000−2i2i000000000000002i−2i000000
χ3222222-22-2-2-20000200-22i2i−2i−2i-22-220-20000-22002000−2i2i00000000000000−2i2i000000
χ3322222-22-2-2-20000200-2−2i−2i2i2i2-22-2002000002-20-200−2i2i0000000000000000−2i2i0000
χ3422222-22-2-2-20000200-2−2i−2i2i2i2-22-200-200000-220200−2i2i00000000000000002i−2i0000
χ3522222-22-2-2-20000200-2−2i−2i2i2i-22-220200002-200-20002i−2i00000000000000−2i2i000000
χ3622222-22-2-2-20000200-2−2i−2i2i2i-22-220-20000-220020002i−2i000000000000002i−2i000000
χ3744444-44-4-4-40000-400400004-4-4400000000000000000000000000000000000000
χ3844444-44-4-4-40000-40040000-444-400000000000000000000000000000000000000
χ394444-44-4-4-4444000-40000000000022000-22-22-2-200000000000000000000000000
χ404444-44-4-4-4444000-400000000000-2-20002-22-22200000000000000000000000000
χ414444-44-4-4-44-4-40004000000000002-2000-222-2-2200000000000000000000000000
χ424444-44-4-4-44-4-4000400000000000-220002-2-222-200000000000000000000000000
χ434444-4-4-444-4004400-4000000000022000-2-2-2-22200000000000000000000000000
χ444444-4-4-444-4004400-40000000000-2-20002222-2-200000000000000000000000000
χ454444-4-4-444-400-4-400400000000002-2000-2-2222-200000000000000000000000000
χ464444-4-4-444-400-4-40040000000000-2200022-2-2-2200000000000000000000000000
χ4744-4-404000-44-40000002i−2i2i−2i00000002-200000002-20000002i−2i2i−2i2i−2i000000000000
χ4844-4-404000-44-40000002i−2i2i−2i0000000-220000000-22000000−2i2i−2i2i2i−2i000000000000
χ4944-4-404000-44-4000000−2i2i−2i2i00000002-200000002-2000000−2i2i−2i2i−2i2i000000000000
χ5044-4-404000-44-4000000−2i2i−2i2i0000000-220000000-220000002i−2i2i−2i−2i2i000000000000
χ5144-4-404000-4-440000002i−2i2i−2i00000002-20000000-220000002i−2i−2i2i−2i2i000000000000
χ5244-4-404000-4-440000002i−2i2i−2i0000000-2200000002-2000000−2i2i2i−2i−2i2i000000000000
χ5344-4-404000-4-44000000−2i2i−2i2i00000002-20000000-22000000−2i2i2i−2i2i−2i000000000000
χ5444-4-404000-4-44000000−2i2i−2i2i0000000-2200000002-20000002i−2i−2i2i2i−2i000000000000
χ5588-8-80-80008000000004-4-44000000000000000000000000000000000000000000
χ5688-8-80-8000800000000-444-4000000000000000000000000000000000000000000
χ578-88-880-80000000000000000000000000000000000000000000004i−4i0000000000
χ588-88-880-8000000000000000000000000000000000000000000000−4i4i0000000000
χ598-88-8-80800000000000000000000000000000000000004-4000000000000000000
χ608-88-8-8080000000000000000000000000000000000000-44000000000000000000
χ618-8-880008-80000000000000000000000000000000004-400000000000000000000
χ628-8-880008-8000000000000000000000000000000000-4400000000000000000000
χ638-8-88000-880008-800000000000000000000000000000000000000000000000000
χ648-8-88000-88000-8800000000000000000000000000000000000000000000000000

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