Finite Group Databasebeta

← Group #72262849

Character table — Group #72262849

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222228888888888888816161616161616161616161616161616161616163232323232323232323264646464
order1222222222222222222222442244444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111
χ5111111111111111-1-1-1-1111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-1-1-1111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1
χ7111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1111111-1-1
χ8111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ911111111111-1-1-1-11111111111-1-1-111-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-11-11-1
χ1011111111111-1-1-1-11111111111-1-1-111-1-11-1-1-111111111-11-1-1-1-1-1-1111-1-11
χ1111111111111-1-1-1-1111111111-11-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11
χ1211111111111-1-1-1-1111111111-11-1-1-1-111-11-1-111111111-11-1-1-1-111-1-1-111-1
χ1311111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-111-1-1-1-111111-1-1-111-1-111-111-1
χ1411111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-11-1-1-11111-1-1-1-1-1-1111111-1-1-11-11
χ1511111111111-1-1-1-1-1-1-1-111111-11-1-1-1-111-1111-1-1-1-111111-1-1-11111-1-11-1-11
χ1611111111111-1-1-1-1-1-1-1-111111-11-1-1-1-111-11-1-11111-1-1-1-1-1-11111-1-1111-11-1
χ172222222222222220000-2-22-2-200-2-200000000000022-2-2002-20000000000
χ182222222222222220000-2-22-2-200-2-2000000000000-2-22200-220000000000
χ1922222222222-2-2-2-20000-2-22-2-2002200000000000022-2-200-220000000000
χ2022222222222-2-2-2-20000-2-22-2-20022000000000000-2-222002-20000000000
χ212222222222-222-2-20000-2-2-222002-20000002222-2-20000-20000000000000
χ222222222222-222-2-20000-2-2-222002-2000000-2-2-2-222000020000000000000
χ232222222222-222-2-2222222-2-2-200-2200000000000000000-2002-200000000
χ242222222222-222-2-2-2-2-2-222-2-2-200-2200000000000000000200-2200000000
χ252222222222-2-2-2220000-2-2-22200-2200000022-2-2220000-20000000000000
χ262222222222-2-2-2220000-2-2-22200-22000000-2-222-2-2000020000000000000
χ272222222222-2-2-222222222-2-2-2002-200000000000000000-200-2200000000
χ282222222222-2-2-222-2-2-2-222-2-2-2002-2000000000000000002002-200000000
χ29222222-2-2-2-22000000002-2-22-2020000-2-2020000002i−2i2i−2i0000002i−2i000000
χ30222222-2-2-2-22000000002-2-22-2020000-2-202000000−2i2i−2i2i000000−2i2i000000
χ31222222-2-2-2-22000000002-2-22-20-20000220-20000002i−2i2i−2i000000−2i2i000000
χ32222222-2-2-2-22000000002-2-22-20-20000220-2000000−2i2i−2i2i0000002i−2i000000
χ33222222-2-2-2-2200000000-22-2-222000-2-200200000002i−2i−2i2i000000002i−2i0000
χ34222222-2-2-2-2200000000-22-2-222000-2-20020000000−2i2i2i−2i00000000−2i2i0000
χ35222222-2-2-2-2200000000-22-2-22-20002200-200000002i−2i−2i2i00000000−2i2i0000
χ36222222-2-2-2-2200000000-22-2-22-20002200-20000000−2i2i2i−2i000000002i−2i0000
χ37444444-4-4-4-4-4000000004-44-440000000000000000000000000000000000
χ38444444-4-4-4-4-400000000-4444-40000000000000000000000000000000000
χ394444-4-44-44-40004-400000000022002-22-2-2-2000000000000000000000000
χ404444-4-44-44-40004-4000000000-2-200-22-2222000000000000000000000000
χ414444-4-44-44-4000-440000000002-2002-2-22-22000000000000000000000000
χ424444-4-44-44-4000-44000000000-2200-222-22-2000000000000000000000000
χ434444-4-4-44-4404-4000000000002200-22-22-2-2000000000000000000000000
χ444444-4-4-44-4404-400000000000-2-2002-22-222000000000000000000000000
χ454444-4-4-44-440-44000000000002-200-222-2-22000000000000000000000000
χ464444-4-4-44-440-4400000000000-22002-2-222-2000000000000000000000000
χ4788-8-800080-8000000000000000000000000004i−4i00000000000000000000
χ4888-8-800080-800000000000000000000000000−4i4i00000000000000000000
χ4988-8-8000-8080000044-4-4000000000000000000000000000000000000000
χ5088-8-8000-80800000-4-444000000000000000000000000000000000000000
χ518-88-80080-8000000000000000000000000000004i−4i000000000000000000
χ528-88-80080-800000000000000000000000000000−4i4i000000000000000000
χ538-88-800-8080000004-44-4000000000000000000000000000000000000000
χ548-88-800-808000000-44-44000000000000000000000000000000000000000
χ558-8-888-800000000000000000000000000004-40000000000000000000000
χ568-8-888-80000000000000000000000000000-440000000000000000000000
χ578-8-88-880000000004-4-44000000000000000000000000000000000000000
χ588-8-88-88000000000-444-4000000000000000000000000000000000000000

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