Finite Group Databasebeta

← Group #101607

Character table — Group #101607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222222224444222244444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ911111111-1-1-1-111-1-111-1-111-1-11-1ii−i−iii−i−i1-111-1-1i−ii−iii−i−i11-1-1ii−i−i
χ1011111111-1-1-1-111-1-111-1-111-1-11-1ii−i−iii−i−i1-1-1-111i−ii−i−i−iii-1-111−i−iii
χ1111111111-1-1-1-111-1-111-1-111-1-11-1−i−iii−i−iii1-111-1-1−ii−ii−i−iii11-1-1−i−iii
χ1211111111-1-1-1-111-1-111-1-111-1-11-1−i−iii−i−iii1-1-1-111−ii−iiii−i−i-1-111ii−i−i
χ1311111111-1-1-1-111-1-111-1-1-1-1111-1ii−i−i−i−iii-1111-1-1i−i−iiii−i−i-1-111−i−iii
χ1411111111-1-1-1-111-1-111-1-1-1-1111-1ii−i−i−i−iii-11-1-111i−i−ii−i−iii11-1-1ii−i−i
χ1511111111-1-1-1-111-1-111-1-1-1-1111-1−i−iiiii−i−i-1111-1-1−iii−i−i−iii-1-111ii−i−i
χ1611111111-1-1-1-111-1-111-1-1-1-1111-1−i−iiiii−i−i-11-1-111−iii−iii−i−i11-1-1−i−iii
χ172222222222222222-2-2-2-20000-2-222220000000000-2-200000000000000
χ182222222222222222-2-2-2-20000-2-2-2-2-2-200000000002200000000000000
χ19222222222222-2-2-2-222-2-22222-2200000000-2-200000000000000000000
χ20222222222222-2-2-2-222-2-2-2-2-2-2-22000000002200000000000000000000
χ21222222222222-2-2-2-2-2-22200002-20000222200000000-2-2000000000000
χ22222222222222-2-2-2-2-2-22200002-20000-2-2-2-20000000022000000000000
χ2322222222-2-2-2-222-2-2-2-2220000-222i2i−2i−2i0000000000−2i2i00000000000000
χ2422222222-2-2-2-222-2-2-2-2220000-22−2i−2i2i2i00000000002i−2i00000000000000
χ2522222222-2-2-2-2-2-222222222-2-2-2-200000000-2200000000000000000000
χ2622222222-2-2-2-2-2-2222222-2-222-2-2000000002-200000000000000000000
χ2722222222-2-2-2-2-2-222-2-2-2-200002200002i2i−2i−2i00000000−2i2i000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-20000220000−2i−2i2i2i000000002i−2i000000000000
χ29222-22-2-2-222-2-22-2-2200000000002i−2i2i−2i000000000000000000i2−i2i2−i22−22−2
χ30222-22-2-2-222-2-22-2-2200000000002i−2i2i−2i000000000000000000−i2i2−i2i2−22−22
χ31222-22-2-2-222-2-22-2-220000000000−2i2i−2i2i000000000000000000i2−i2i2−i2−22−22
χ32222-22-2-2-222-2-22-2-220000000000−2i2i−2i2i000000000000000000−i2i2−i2i22−22−2
χ33222-22-2-2-2-2-2222-22-200000000002-2-22000000000000000000i2−i2−i2i2−i2i2i2−i2
χ34222-22-2-2-2-2-2222-22-200000000002-2-22000000000000000000−i2i2i2−i2i2−i2−i2i2
χ35222-22-2-2-2-2-2222-22-20000000000-222-2000000000000000000i2−i2−i2i2i2−i2−i2i2
χ36222-22-2-2-2-2-2222-22-20000000000-222-2000000000000000000−i2i2i2−i2−i2i2i2−i2
χ37444-44-4-4-444-4-4-444-40000000000000000000000000000000000000000
χ38444-44-4-4-4-4-444-44-440000000000000000000000000000000000000000
χ3944-44-44-4-400000000004i−4i00000000002+2i−2−2i2−2i−2+2i0000000000000000000000
χ4044-44-44-4-400000000004i−4i0000000000−2−2i2+2i−2+2i2−2i0000000000000000000000
χ4144-44-44-4-40000000000−4i4i00000000002−2i−2+2i2+2i−2−2i0000000000000000000000
χ4244-44-44-4-40000000000−4i4i0000000000−2+2i2−2i−2−2i2+2i0000000000000000000000
χ434-444-4-44-44-4-440000000000000000000000002i−2i2i−2i0000000000000000
χ444-444-4-44-44-4-44000000000000000000000000−2i2i−2i2i0000000000000000
χ454-444-4-44-4-444-40000000000000000000000002i−2i−2i2i0000000000000000
χ464-444-4-44-4-444-4000000000000000000000000−2i2i2i−2i0000000000000000
χ474-44-4-44-444-44-4000000000000000000000000000000002i−2i2i−2i00000000
χ484-44-4-44-444-44-400000000000000000000000000000000−2i2i−2i2i00000000
χ494-44-4-44-44-44-44000000000000000000000000000000002-2-2200000000
χ504-44-4-44-44-44-4400000000000000000000000000000000-222-200000000
χ514-4-4-4444-4000000004-400004-400000000000000000000000000000000
χ524-4-4-4444-4000000004-40000-4400000000000000000000000000000000
χ534-4-4-4444-400000000-44004-40000000000000000000000000000000000
χ544-4-4-4444-400000000-4400-440000000000000000000000000000000000
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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