Finite Group Databasebeta

← Group #72324266

Character table — Group #72324266

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222228888888888888816161616161616161616161616161616161616163232323232323232323264646464
order1222222222222222222244442222444444444444444444444488884444
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-111
χ511111111111111-1-111111-1-111-1111-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11111-1-11-11-1
χ611111111111111-1-111111-1-111-1-1-11-1-1-111-1-1111111111-1-1-1-1-1-1-1111-1-11
χ711111111111111-1-111111-1-11-1111-11-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-111-11-11
χ811111111111111-1-111111-1-11-11-1-1-11-1-1-1-111111111111-1-1-1-1-111-1-1-111-1
χ91111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-111
χ101111111111-1-1-1-1111111111111-1-111111111-1-111-1-111-1-1-1-1111111-1-1-1-1
χ111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1111111-1-1
χ121111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111
χ131111111111-1-1-1-1-1-111111-1-111-1111-1-1-111-1-1-1-111-1-111-1111-1-1-1-111-111-1
χ141111111111-1-1-1-1-1-111111-1-111-1-1-11-1-1-111-1-111-1-111-1-1-11-111111-1-1-11-11
χ151111111111-1-1-1-1-1-111111-1-11-1111-11-1-1-1-111-1-111-1-111-1111-1-111-1-11-1-11
χ161111111111-1-1-1-1-1-111111-1-11-11-1-1-11-1-1-1-11111-1-111-1-1-11-1111-1-1111-11-1
χ17222222222200002222-2-2-2-2-2-20022002-200002200-2-20000-200000000000
χ18222222222200002222-2-2-2-2-2-200-2-2002-20000-2-200220000200000000000
χ192222222222000022-2-2-2-22222000000-2-20000002200-2-200002-200000000
χ202222222222000022-2-2-2-22222000000-2-2000000-2-200220000-2200000000
χ2122222222220000-2-222-2-2-222-2002200-220000-2-200220000-200000000000
χ2222222222220000-2-222-2-2-222-200-2-200-2200002200-2-20000200000000000
χ2322222222220000-2-2-2-2-2-22-2-22000000220000002200-2-20000-2200000000
χ2422222222220000-2-2-2-2-2-22-2-2200000022000000-2-2002200002-200000000
χ252222222222222222-2-222-2-2-2-2000000-22000000000000-2-2020000000000
χ2622222222222222-2-2-2-222-222-20000002-2000000000000-220-20000000000
χ272222222222-2-2-2-222-2-222-2-2-2-2000000-22000000000000220-20000000000
χ282222222222-2-2-2-2-2-2-2-222-222-20000002-20000000000002-2020000000000
χ29222222-2-2-2-20000002-22-2200-202000-200002-2002i−2i002i−2i0000002i−2i000000
χ30222222-2-2-2-20000002-22-2200-202000-200002-200−2i2i00−2i2i000000−2i2i000000
χ31222222-2-2-2-20000002-22-2200-20-200020000-22002i−2i002i−2i000000−2i2i000000
χ32222222-2-2-2-20000002-22-2200-20-200020000-2200−2i2i00−2i2i0000002i−2i000000
χ33222222-2-2-2-2000000-22-22200-22000-20002-200002i−2i00−2i2i000000002i−2i0000
χ34222222-2-2-2-2000000-22-22200-22000-20002-20000−2i2i002i−2i00000000−2i2i0000
χ35222222-2-2-2-2000000-22-22200-2-20002000-2200002i−2i00−2i2i00000000−2i2i0000
χ36222222-2-2-2-2000000-22-22200-2-20002000-220000−2i2i002i−2i000000002i−2i0000
χ37444444-4-4-4-40000004-4-44-40040000000000000000000000000000000000
χ38444444-4-4-4-4000000-444-4-40040000000000000000000000000000000000
χ394444-4-44-4-44000000000004-4022002200-2-2-2-20000000000000000000000
χ404444-4-44-4-44000000000004-40-2-200-2-20022220000000000000000000000
χ414444-4-44-4-4400000000000-4402-2002-200-2-2220000000000000000000000
χ424444-4-44-4-4400000000000-440-2200-220022-2-20000000000000000000000
χ434444-4-4-444-400004-4000000002200-2-200-22-220000000000000000000000
χ444444-4-4-444-400004-400000000-2-20022002-22-20000000000000000000000
χ454444-4-4-444-40000-44000000002-200-2200-222-20000000000000000000000
χ464444-4-4-444-40000-4400000000-22002-2002-2-220000000000000000000000
χ4788-8-800800-80000000000000000000000000000004i−4i0000000000000000
χ4888-8-800800-8000000000000000000000000000000−4i4i0000000000000000
χ4988-8-800-800844-4-400000000000000000000000000000000000000000000
χ5088-8-800-8008-4-44400000000000000000000000000000000000000000000
χ518-88-80008-80000000000000000000000000004-400000000000000000000
χ528-88-80008-8000000000000000000000000000-4400000000000000000000
χ538-88-8000-8804-44-400000000000000000000000000000000000000000000
χ548-88-8000-880-44-4400000000000000000000000000000000000000000000
χ558-8-888-8000000000000000000004-4000000000000000000000000000000
χ568-8-888-800000000000000000000-44000000000000000000000000000000
χ578-8-88-8800004-4-4400000000000000000000000000000000000000000000
χ588-8-88-880000-444-400000000000000000000000000000000000000000000

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