Finite Group Databasebeta

← Group #72266710

Character table — Group #72266710

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11112222224488888888816161616161616161616161616161616161616161616161632323232323232323264646464
order1222222222222222222442222444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-11-11-1-1-1-1-1-111-1-1
χ311111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111
χ411111111111111111111111-1-111111111-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1
χ5111111111111111111111-1-11111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11111-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1111111-1-1
χ8111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111
χ91111111111-1-11-1-1-1111111-111-1-111-1-11-11111-1-1-1-111-1-11-1-1-1111-1-11-11-1
χ101111111111-1-11-1-1-1111111-111-1-111-1-11-1-1-1-1-111-1-1-1-11111-11-1-1-1111-1-11
χ111111111111-1-11-1-1-1111111-1-1-1-1-111-1-11-111111111-1-111-1-11-1-1-1-111-111-1
χ121111111111-1-11-1-1-1111111-1-1-1-1-111-1-11-1-1-1-1-1-1-11111-1-1-1111111-1-1-11-11
χ131111111111-1-11-1-1-111111-1111-1-1-1-111-111111-1-1-1-111-1-11-1-1-11-1-111-11-11
χ141111111111-1-11-1-1-111111-1111-1-1-1-111-11-1-1-1-111-1-1-1-11111-11-111-1-1-111-1
χ151111111111-1-11-1-1-111111-11-1-1-1-1-1-111-1111111111-1-111-1-11-1-111-1-11-1-11
χ161111111111-1-11-1-1-111111-11-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-11111-1-1111-11-1
χ172222222222222222-2-22-2-20000-2-200000000002200-2-2-2-20000200000000
χ182222222222222222-2-22-2-20000-2-20000000000-2-20022220000-200000000
χ19222222222222-22-2-222-2-2-200222-2000000000000-2-20000-2020000000000
χ20222222222222-22-2-222-2-2-200-2-22-200000000000022000020-20000000000
χ21222222222222-22-2-2-2-2-2220000-2200000022-2-200000000020-2000000000
χ22222222222222-22-2-2-2-2-2220000-22000000-2-222000000000-202000000000
χ232222222222-2-22-2-2-2-2-22-2-20000220000000000220022-2-20000-200000000
χ242222222222-2-22-2-2-2-2-22-2-20000220000000000-2-200-2-2220000200000000
χ252222222222-2-2-2-22222-2-2-20022-22000000000000220000-20-20000000000
χ262222222222-2-2-2-22222-2-2-200-2-2-22000000000000-2-200002020000000000
χ272222222222-2-2-2-222-2-2-22200002-200000022-2-2000000000-202000000000
χ282222222222-2-2-2-222-2-2-22200002-2000000-2-22200000000020-2000000000
χ29222222-2-2-2-20020002-2-22-202000000-2-20200002i−2i00002i−2i000002i−2i000000
χ30222222-2-2-2-20020002-2-22-202000000-2-2020000−2i2i0000−2i2i00000−2i2i000000
χ31222222-2-2-2-20020002-2-22-20-2000000220-200002i−2i00002i−2i00000−2i2i000000
χ32222222-2-2-2-20020002-2-22-20-2000000220-20000−2i2i0000−2i2i000002i−2i000000
χ33222222-2-2-2-2002000-22-2-22200000-2-2002000002i−2i0000−2i2i00000002i−2i0000
χ34222222-2-2-2-2002000-22-2-22200000-2-200200000−2i2i00002i−2i0000000−2i2i0000
χ35222222-2-2-2-2002000-22-2-22-2000002200-2000002i−2i0000−2i2i0000000−2i2i0000
χ36222222-2-2-2-2002000-22-2-22-2000002200-200000−2i2i00002i−2i00000002i−2i0000
χ37444444-4-4-4-400-40004-44-440000000000000000000000000000000000000
χ38444444-4-4-4-400-4000-4444-40000000000000000000000000000000000000
χ394444-4-44-44-400004-4000002200002-22-2-2-20000000000000000000000000
χ404444-4-44-44-400004-400000-2-20000-22-22220000000000000000000000000
χ414444-4-44-44-40000-44000002-200002-2-22-220000000000000000000000000
χ424444-4-44-44-40000-4400000-220000-222-22-20000000000000000000000000
χ434444-4-4-44-44440-40000000220000-22-22-2-20000000000000000000000000
χ444444-4-4-44-44440-40000000-2-200002-22-2220000000000000000000000000
χ454444-4-4-44-44-4-40400000002-20000-222-2-220000000000000000000000000
χ464444-4-4-44-44-4-4040000000-2200002-2-222-20000000000000000000000000
χ4788-8-800080-800000000000000000000000000000004i−4i000000000000000
χ4888-8-800080-80000000000000000000000000000000−4i4i000000000000000
χ4988-8-8000-8088-80000000000000000000000000000000000000000000000
χ5088-8-8000-808-880000000000000000000000000000000000000000000000
χ518-88-80080-8000000000000000000000000004i−4i000000000000000000000
χ528-88-80080-800000000000000000000000000−4i4i000000000000000000000
χ538-88-800-8080000000000000000000000000000004-400000000000000000
χ548-88-800-808000000000000000000000000000000-4400000000000000000
χ558-8-888-80000000000000000000000000004-400000000000000000000000
χ568-8-888-8000000000000000000000000000-4400000000000000000000000
χ578-8-88-88000000000000000004-4000000000000000000000000000000000
χ588-8-88-8800000000000000000-44000000000000000000000000000000000

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