Finite Group Databasebeta

← Group #72266708

Character table — Group #72266708

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224488888888816161616161616161616161616161616161616161616161632323232323232323264646464
order1222222222222222222442222224444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ311111111111111111111111-1-11111111111-1-111-1-1-1-1-1-11-1-11-1-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111-1-1-1-1
χ5111111111111111111111-1-1111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ7111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-11111-1-111
χ8111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111
χ91111111111-1-11-1-1-1111111-11111-1-1111-1-1-111-1-111-1-1-1-11-1-1-1111-1-11-11-1
χ101111111111-1-11-1-1-1111111-111-1-1-1-1111-1-1-11111-1-11111-1-1-11-1-1-111-111-1
χ111111111111-1-11-1-1-1111111-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-11
χ121111111111-1-11-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1111111-1-1-11-11
χ131111111111-1-11-1-1-111111-111111-1-1-1-1-111111-1-111-1-1-1-11-1-1-11-1-111-11-11
χ141111111111-1-11-1-1-111111-1111-1-1-1-1-1-1-11111111-1-11111-1-1-11-111-1-11-1-11
χ151111111111-1-11-1-1-111111-11-1-111-1-1-1-1-1111-1-1-1-1-1-11111111-1-111-1-1-111-1
χ161111111111-1-11-1-1-111111-11-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-11111-1-1111-11-1
χ172222222222222222-2-22-2-2000000-2-200000000002222-2-20000-200000000
χ182222222222222222-2-22-2-2000000-2-20000000000-2-2-2-2220000200000000
χ19222222222222-22-2-222-2-2-20000222-200000000-2-2000000-2002000000000
χ20222222222222-22-2-222-2-2-20000-2-22-20000000022000000200-2000000000
χ21222222222222-22-2-2-2-2-222002200-22000000-2-20000000002-20000000000
χ22222222222222-22-2-2-2-2-22200-2-200-2200000022000000000-220000000000
χ232222222222-2-22-2-2-2-2-22-2-200000022000000000022-2-2220000-200000000
χ242222222222-2-22-2-2-2-2-22-2-2000000220000000000-2-222-2-20000200000000
χ252222222222-2-2-2-22222-2-2-2000022-220000000022000000-200-2000000000
χ262222222222-2-2-2-22222-2-2-20000-2-2-2200000000-2-20000002002000000000
χ272222222222-2-2-2-222-2-2-2220022002-2000000-2-2000000000-220000000000
χ282222222222-2-2-2-222-2-2-22200-2-2002-2000000220000000002-20000000000
χ29222222-2-2-2-20020002-2-22-2020000000002-2-20000002i−2i2i−2i000002i−2i000000
χ30222222-2-2-2-20020002-2-22-2020000000002-2-2000000−2i2i−2i2i00000−2i2i000000
χ31222222-2-2-2-20020002-2-22-20-2000000000-2220000002i−2i2i−2i00000−2i2i000000
χ32222222-2-2-2-20020002-2-22-20-2000000000-222000000−2i2i−2i2i000002i−2i000000
χ33222222-2-2-2-2002000-22-2-22200000002-2-20000000002i−2i−2i2i00000002i−2i0000
χ34222222-2-2-2-2002000-22-2-22200000002-2-2000000000−2i2i2i−2i0000000−2i2i0000
χ35222222-2-2-2-2002000-22-2-22-20000000-2220000000002i−2i−2i2i0000000−2i2i0000
χ36222222-2-2-2-2002000-22-2-22-20000000-222000000000−2i2i2i−2i00000002i−2i0000
χ37444444-4-4-4-400-40004-44-440000000000000000000000000000000000000
χ38444444-4-4-4-400-4000-4444-40000000000000000000000000000000000000
χ394444-4-444-4-400004-40000022000000-22-2-22-200000000000000000000000
χ404444-4-444-4-400004-400000-2-20000002-222-2200000000000000000000000
χ414444-4-444-4-40000-44000002-2000000-22-22-2200000000000000000000000
χ424444-4-444-4-40000-4400000-220000002-22-22-200000000000000000000000
χ434444-4-4-4-444440-4000000022000000-2-22-2-2200000000000000000000000
χ444444-4-4-4-444440-40000000-2-200000022-222-200000000000000000000000
χ454444-4-4-4-444-4-40400000002-2000000-2-2222-200000000000000000000000
χ464444-4-4-4-444-4-4040000000-2200000022-2-2-2200000000000000000000000
χ4788-8-800008-8000000000000000000000000000004-400000000000000000
χ4888-8-800008-800000000000000000000000000000-4400000000000000000
χ4988-8-80000-888-80000000000000000000000000000000000000000000000
χ5088-8-80000-88-880000000000000000000000000000000000000000000000
χ518-88-8008-8000000000000000000000000000004-40000000000000000000
χ528-88-8008-800000000000000000000000000000-440000000000000000000
χ538-88-800-880000000000000000000000000004-4000000000000000000000
χ548-88-800-88000000000000000000000000000-44000000000000000000000
χ558-8-888-800000000000000000004-40000000000000000000000000000000
χ568-8-888-80000000000000000000-440000000000000000000000000000000
χ578-8-88-88000000000000000004-4000000000000000000000000000000000
χ588-8-88-8800000000000000000-44000000000000000000000000000000000

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