Finite Group Databasebeta

← Group #72260618

Character table — Group #72260618

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222444444444444448888888888888888888161616161616161616161616161616161616161616161616323232323264646464
order1222222222222222222222222222222224444444444224444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111
χ5111111111111111111-1-1-1-1111-1-1-1-1-1-11111111111111-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111-111-1-11-11-1
χ6111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-11-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-111-11-11
χ7111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11-11111111111-1-1-111-1-1-11-11
χ8111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-111111111111-1-1-1-1-1111-11-1
χ91111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-111
χ111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ121111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1111-1-1-111-1-1-1-11-1-1-1-1-11111-1-1111-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-111-11-1-1-1-111-1-1-11-1-1-1-11111-1-111111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111111-1-1-111-1-1111-11111-1-1-1-1-1-1-1-11-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1111111-11-1-1-1-11111-111111-1-1-1-1-1-1-1-1111-1-11-1-11
χ1722222222220000000022-2-2-2-2-22-200002222220000-2-2002-20000000022-2-2000000-2-2000000000
χ1822222222220000000022-2-2-2-2-22-2000022-2-2-2-20000-2-2002-200000000-2-22200000022000000000
χ1922222222220000000022-2-2-2-2-22-20000-2-2000022222200-220000-2-200000022-2-20000000000000
χ2022222222220000000022-2-2-2-2-22-20000-2-20000-2-2-2-22200-22000022000000-2-2220000000000000
χ21222222222200000000-2-222-2-2-2-2200002222220000-2-200-2200000000-2-222000000-2-2000000000
χ22222222222200000000-2-222-2-2-2-22000022-2-2-2-20000-2-200-220000000022-2-200000022000000000
χ23222222222200000000-2-222-2-2-2-220000-2-20000222222002-20000-2-2000000-2-2220000000000000
χ24222222222200000000-2-222-2-2-2-220000-2-20000-2-2-2-222002-200002200000022-2-20000000000000
χ252222222222222222222222222222222-2-200000000-2-200-2-20000000000000000-2-200-200000000
χ26222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-200000000-2-200220000000000000000-2-200200000000
χ272222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-200000000-2-200-2-200000000000000002200200000000
χ282222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-22222-2-200000000-2-2002200000000000000002200-200000000
χ292222-2-22-2-222222-2-2-2-2000022-20000002-2000000002-2020000-2-20002000000002-2000002-20000
χ302222-2-22-2-222222-2-2-2-2000022-20000002-2000000002-20-2000022000-2000000002-200000-220000
χ312222-2-22-2-222222-2-2-2-2000022-2000000-2200000000-222000-2-200002000000000-220002-2000000
χ322222-2-22-2-222222-2-2-2-2000022-2000000-2200000000-22-2000220000-2000000000-22000-22000000
χ332222-2-22-2-22-2-2-2-22222000022-20000002-2000000002-2020000-2-2000200000000-2200000-220000
χ342222-2-22-2-22-2-2-2-22222000022-20000002-2000000002-20-2000022000-200000000-22000002-20000
χ352222-2-22-2-22-2-2-2-22222000022-2000000-2200000000-222000-2-2000020000000002-2000-22000000
χ362222-2-22-2-22-2-2-2-22222000022-2000000-2200000000-22-2000220000-20000000002-20002-2000000
χ3744444-4-44-4-40000000000440000-4000000000000000022002-22-200-2-2000000000000000000000
χ3844444-4-44-4-40000000000440000-40000000000000000-2-200-22-220022000000000000000000000
χ3944444-4-44-4-40000000000-4-40000400000000000000002-2002-2-2200-22000000000000000000000
χ4044444-4-44-4-40000000000-4-4000040000000000000000-2200-222-2002-2000000000000000000000
χ414444-44-4-44-4000000004400000-4000000000000000002200-22-2200-2-2000000000000000000000
χ424444-44-4-44-4000000004400000-400000000000000000-2-2002-22-20022000000000000000000000
χ434444-44-4-44-400000000-4-4000004000000000000000002-200-222-200-22000000000000000000000
χ444444-44-4-44-400000000-4-400000400000000000000000-22002-2-22002-2000000000000000000000
χ454444-4-44-4-44000000000000-4-440000004-400000000-44000000000000000000000000000000000
χ464444-4-44-4-44000000000000-4-44000000-44000000004-4000000000000000000000000000000000
χ4744-4-40400-4022-2-222-2-24-4000000022-2-2002i2i−2i−2i2i2i−2i−2i000000000000002i−2i002i−2i000000000000000
χ4844-4-40400-4022-2-222-2-24-4000000022-2-200−2i−2i2i2i−2i−2i2i2i00000000000000−2i2i00−2i2i000000000000000
χ4944-4-40400-4022-2-222-2-2-440000000-2-222002i2i−2i−2i2i2i−2i−2i00000000000000−2i2i00−2i2i000000000000000
χ5044-4-40400-4022-2-222-2-2-440000000-2-22200−2i−2i2i2i−2i−2i2i2i000000000000002i−2i002i−2i000000000000000
χ5144-4-40400-40-2-222-2-2224-40000000-2-222002i2i−2i−2i−2i−2i2i2i000000000000002i−2i00−2i2i000000000000000
χ5244-4-40400-40-2-222-2-2224-40000000-2-22200−2i−2i2i2i2i2i−2i−2i00000000000000−2i2i002i−2i000000000000000
χ5344-4-40400-40-2-222-2-222-44000000022-2-2002i2i−2i−2i−2i−2i2i2i00000000000000−2i2i002i−2i000000000000000
χ5444-4-40400-40-2-222-2-222-44000000022-2-200−2i−2i2i2i2i2i−2i−2i000000000000002i−2i00−2i2i000000000000000
χ554-44-4400-4002-22-22-22-2004-4000002-22-2002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i002i−2i0000000000000
χ564-44-4400-4002-22-22-22-2004-4000002-22-200−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i00−2i2i0000000000000
χ574-44-4400-4002-22-22-22-200-4400000-22-22002i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i00−2i2i0000000000000
χ584-44-4400-4002-22-22-22-200-4400000-22-2200−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i002i−2i0000000000000
χ594-44-4400-400-22-22-22-22004-400000-22-22002i−2i2i−2i−2i2i−2i2i00000000000000002i−2i00−2i2i0000000000000
χ604-44-4400-400-22-22-22-22004-400000-22-2200−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i002i−2i0000000000000
χ614-44-4400-400-22-22-22-2200-44000002-22-2002i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i002i−2i0000000000000
χ624-44-4400-400-22-22-22-2200-44000002-22-200−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i00−2i2i0000000000000
χ634-4-4400-400400004-4-4400004-40000000002-2-222-2-2200000000002-20000000000002-2000000000
χ644-4-4400-400400004-4-4400004-4000000000-222-2-222-20000000000-22000000000000-22000000000
χ654-4-4400-40040000-444-400004-40000000002-2-22-222-20000000000-220000000000002-2000000000
χ664-4-4400-40040000-444-400004-4000000000-222-22-2-2200000000002-2000000000000-22000000000
χ674-4-4400-40044-4-4400000000-440000000002-2-222-2-220000000000-22000000000000-22000000000
χ684-4-4400-40044-4-4400000000-44000000000-222-2-222-200000000002-20000000000002-2000000000
χ694-4-4400-4004-444-400000000-440000000002-2-22-222-200000000002-2000000000000-22000000000
χ704-4-4400-4004-444-400000000-44000000000-222-22-2-220000000000-220000000000002-2000000000
χ7188-8-80-8008044-4-4-4-4440000000000000000000000000000000000000000000000000000000000
χ7288-8-80-80080-4-44444-4-40000000000000000000000000000000000000000000000000000000000
χ738-88-8-8008004-44-4-44-440000000000000000000000000000000000000000000000000000000000
χ748-88-8-800800-44-444-44-40000000000000000000000000000000000000000000000000000000000
χ758-8-8800800-8000000000000000004-4-44000000000000000000000000000000000000000000000
χ768-8-8800800-800000000000000000-444-4000000000000000000000000000000000000000000000

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