Finite Group Databasebeta

← Group #72266232

Character table — Group #72266232

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122224444444448888888888881616161616161616161616323232323232323232323232323264646464
order1222222222222222222224444444422224444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11111-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11111-1-1111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-11111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111111111-1-1
χ92222222222222222222-2-2222222220000-2-20000-20000-2-2000000000000
χ102222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-20000-2000022000000000000
χ112222222222-2-2222-2-2-2-2220000000000222-20022-200-2-200000000000000
χ122222222222-2-2222-2-2-2-2220000000000-2-22-200-2-2-2002200000000000000
χ132222222222-2-2222-2-2-2-2-2-2000000000000-2200002000000000022-2-20000
χ142222222222-2-2222-2-2-2-2-2-2000000000000-22000020000000000-2-2220000
χ1522222222-2-2222-2-222-2-222000000002200-222200-2-2-20000000000000000
χ1622222222-2-2222-2-222-2-22200000000-2-200-22-2-200-2220000000000000000
χ1722222222-2-2222-2-222-2-2-2-20000000000002-20000200000022-2-200000000
χ1822222222-2-2222-2-222-2-2-2-20000000000002-200002000000-2-22200000000
χ1922222222-2-2-2-22-2-2-2-22222000000000000-2-200002000000000000002-200
χ2022222222-2-2-2-22-2-2-2-22222000000000000-2-20000200000000000000-2200
χ2122222222-2-2-2-22-2-2-2-222-2-2000000000000220000-200000000000000002i−2i
χ2222222222-2-2-2-22-2-2-2-222-2-2000000000000220000-20000000000000000−2i2i
χ23444444-4-4004-4-4004-400000000000000220000-2-20002-200000000000000
χ24444444-4-4004-4-4004-400000000000000-2-2000022000-2200000000000000
χ25444444-4-400-44-400-4400000000000000220000-2-2000-2200000000000000
χ26444444-4-400-44-400-4400000000000000-2-20000220002-200000000000000
χ274444-4-4444-400-44-400000000000000220000-2-20002-20000000000000000
χ284444-4-4444-400-44-400000000000000-2-2000022000-220000000000000000
χ294444-4-444-4400-4-4400000000000000220000-2-2000-220000000000000000
χ304444-4-444-4400-4-4400000000000000-2-20000220002-20000000000000000
χ314444-4-4-4-4000040000004-42222-2-2-2-20000000000000002-2000000000000
χ324444-4-4-4-4000040000004-4-2-2-2-22222000000000000000-22000000000000
χ334444-4-4-4-400004000000-442222-2-2-2-2000000000000000-22000000000000
χ344444-4-4-4-400004000000-44-2-2-2-222220000000000000002-2000000000000
χ3544-4-4004-4040000-40000002i2i−2i−2i2i2i−2i−2i002-200002-2000000000002i−2i000000
χ3644-4-4004-4040000-40000002i2i−2i−2i2i2i−2i−2i00-220000-2200000000000−2i2i000000
χ3744-4-4004-4040000-4000000−2i−2i2i2i−2i−2i2i2i002-200002-200000000000−2i2i000000
χ3844-4-4004-4040000-4000000−2i−2i2i2i−2i−2i2i2i00-220000-22000000000002i−2i000000
χ3944-4-400-4440000-400000002i2i−2i−2i−2i−2i2i2i002-20000-2200000000000002i−2i0000
χ4044-4-400-4440000-400000002i2i−2i−2i−2i−2i2i2i00-2200002-20000000000000−2i2i0000
χ4144-4-400-4440000-40000000−2i−2i2i2i2i2i−2i−2i002-20000-220000000000000−2i2i0000
χ4244-4-400-4440000-40000000−2i−2i2i2i2i2i−2i−2i00-2200002-200000000000002i−2i0000
χ434-44-44-40000040000-400002i−2i2i−2i2i−2i2i−2i2-200002-20000000002i−2i0000000000
χ444-44-44-40000040000-400002i−2i2i−2i2i−2i2i−2i-220000-22000000000−2i2i0000000000
χ454-44-44-40000040000-40000−2i2i−2i2i−2i2i−2i2i2-200002-2000000000−2i2i0000000000
χ464-44-44-40000040000-40000−2i2i−2i2i−2i2i−2i2i-220000-220000000002i−2i0000000000
χ474-44-4-44000040000-4000002i−2i2i−2i−2i2i−2i2i2-20000-22000000000002i−2i00000000
χ484-44-4-44000040000-4000002i−2i2i−2i−2i2i−2i2i-2200002-200000000000−2i2i00000000
χ494-44-4-44000040000-400000−2i2i−2i2i2i−2i2i−2i2-20000-2200000000000−2i2i00000000
χ504-44-4-44000040000-400000−2i2i−2i2i2i−2i2i−2i-2200002-2000000000002i−2i00000000
χ5188-8-8008-80-8000080000000000000000000000000000000000000000000
χ5288-8-800-88-80000800000000000000000000000000000000000000000000
χ538-88-88-800000-80000800000000000000000000000000000000000000000
χ548-88-8-880000-800008000000000000000000000000000000000000000000
χ558-8-8800000000000004-40000004-4-4400000000000000000000000000000
χ568-8-8800000000000004-4000000-444-400000000000000000000000000000
χ578-8-880000000000000-44004-4-44000000000000000000000000000000000
χ588-8-880000000000000-4400-444-4000000000000000000000000000000000

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