Finite Group Databasebeta

← Group #72337625

Character table — Group #72337625

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122224444444448888888888881616161616161616161616323232323232323232323232323264646464
order1222222224444444422444444444422222444444224444888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ922222222222222222-2-22222222222-2-200-2000000-2-20000000000000000
χ1022222222222222222-2-222-2-2-2-2-2-2-2-2-2-200-2000000220000000000000000
χ1122222222222-2-222-2-222-2-2000000002-200-22200220000-2-2000000000000
χ1222222222222-2-222-2-222-2-2000000002-200-2-2-200-2-2000022000000000000
χ1322222222222-2-222-2-2-2-2-2-200000000-22002000000000000000022-2-20000
χ1422222222222-2-222-2-2-2-2-2-200000000-220020000000000000000-2-2220000
χ15222222222-2-222-2-22222-2-200000000-2222-200220000-2-200000000000000
χ16222222222-2-222-2-22222-2-200000000-22-2-2-200-2-200002200000000000000
χ17222222222-2-222-2-222-2-2-2-2000000002-200200000000000022-2-200000000
χ18222222222-2-222-2-222-2-2-2-2000000002-2002000000000000-2-22200000000
χ19222222222-2-2-2-2-2-2-2-2222200000000-2-2002000000000000000000002-200
χ20222222222-2-2-2-2-2-2-2-2222200000000-2-200200000000000000000000-2200
χ21222222222-2-2-2-2-2-2-2-2-2-222000000002200-200000000000000000000002i−2i
χ22222222222-2-2-2-2-2-2-2-2-2-222000000002200-20000000000000000000000−2i2i
χ23444444-4-4-4004-4004-4000000000000000002200-2-200002-2000000000000
χ24444444-4-4-4004-4004-400000000000000000-2-200220000-22000000000000
χ25444444-4-4-400-4400-44000000000000000002200-2-20000-22000000000000
χ26444444-4-4-400-4400-4400000000000000000-2-2002200002-2000000000000
χ274444-4-444-44-4004-4000000000000000022000-2-200002-200000000000000
χ284444-4-444-44-4004-40000000000000000-2-2000220000-2200000000000000
χ294444-4-444-4-4400-44000000000000000022000-2-20000-2200000000000000
χ304444-4-444-4-4400-440000000000000000-2-20002200002-200000000000000
χ314444-4-4-4-44000000004-4002222-2-2-2-2000000000002-20000000000000000
χ324444-4-4-4-44000000004-400-2-2-2-2222200000000000-220000000000000000
χ334444-4-4-4-4400000000-44002222-2-2-2-200000000000-220000000000000000
χ344444-4-4-4-4400000000-4400-2-2-2-22222000000000002-20000000000000000
χ3544-4-4004-4004000-400000022-2-222-2-2000002i−2i002i−2i0000000000002i−2i0000
χ3644-4-4004-4004000-400000022-2-222-2-200000−2i2i00−2i2i000000000000−2i2i0000
χ3744-4-4004-4004000-4000000-2-222-2-222000002i−2i002i−2i000000000000−2i2i0000
χ3844-4-4004-4004000-4000000-2-222-2-22200000−2i2i00−2i2i0000000000002i−2i0000
χ3944-4-400-4404000-4000000022-2-2-2-222000002i−2i00−2i2i00000000002i−2i000000
χ4044-4-400-4404000-4000000022-2-2-2-22200000−2i2i002i−2i0000000000−2i2i000000
χ4144-4-400-4404000-40000000-2-22222-2-2000002i−2i00−2i2i0000000000−2i2i000000
χ4244-4-400-4404000-40000000-2-22222-2-200000−2i2i002i−2i00000000002i−2i000000
χ434-4-444-4000000-4000400002-22-22-22-2002-20002-200000000002-200000000
χ444-4-444-4000000-4000400002-22-22-22-200-22000-220000000000-2200000000
χ454-4-444-4000000-400040000-22-22-22-22002-20002-20000000000-2200000000
χ464-4-444-4000000-400040000-22-22-22-2200-22000-2200000000002-200000000
χ474-4-44-4400000-40004000002-22-2-22-22002-2000-22000000002-20000000000
χ484-4-44-4400000-40004000002-22-2-22-2200-220002-200000000-220000000000
χ494-4-44-4400000-4000400000-22-222-22-2002-2000-2200000000-220000000000
χ504-4-44-4400000-4000400000-22-222-22-200-220002-2000000002-20000000000
χ5188-8-8008-800-800080000000000000000000000000000000000000000000
χ5288-8-800-880-8000800000000000000000000000000000000000000000000
χ538-88-80000000000000004-400004-4-4400000000000000000000000000000
χ548-88-80000000000000004-40000-444-400000000000000000000000000000
χ558-88-8000000000000000-444-4-44000000000000000000000000000000000
χ568-88-8000000000000000-44-444-4000000000000000000000000000000000
χ578-8-888-80000008000-800000000000000000000000000000000000000000
χ588-8-88-88000008000-8000000000000000000000000000000000000000000

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