Finite Group Databasebeta

← Group #252440

Character table — Group #252440

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222222444424444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-111-1-11111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-111-1-11111-1-1-1-11-11-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1-1-1-1-111-111-1-11-111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-1-1-111-111-1-11-11-1-1-1-11111-1-1-1-11111
χ9111111111111-1-11111-11111-1-111-1-11-11-1-11-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-11111-11111-1-111-1-11-11-1-11-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-111-1-111
χ12111111111111-1-11111-111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-11111-1-1-1111111-1-1-11-11-1-1-1111-1-1-1-111-1-11111-1-1
χ14111111111111-1-11111-1-1-1111111-1-1-11-11-1-1-11-1-11111-1-111-1-1-1-111
χ15111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2222002200-2-2-200-200000000000000000000
χ1822222222222222-2-2-2-22-2-200-2-200-2-2200200000000000000000000
χ19222222222222-2-2-2-2-2-2-22200-2-20022-200200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-200220022200-200000000000000000000
χ2122222222-2-2-2-2222-2-22-2002200-2-22-2000020-200000000000000000
χ2222222222-2-2-2-2222-2-22-200-2-200222-20000-20200000000000000000
χ2322222222-2-2-2-222-222-2-200000000-2202-20020-20000000000000000
χ2422222222-2-2-2-222-222-2-200000000-220-2200-2020000000000000000
χ2522222222-2-2-2-2-2-22-2-222002200-2-2-220000-20200000000000000000
χ2622222222-2-2-2-2-2-22-2-22200-2-20022-22000020-200000000000000000
χ2722222222-2-2-2-2-2-2-222-22000000002-202200-20-20000000000000000
χ2822222222-2-2-2-2-2-2-222-22000000002-20-2-2002020000000000000000
χ2922-2-2-22-222-22-20022-2-20002i−2i002i−2i0000000000002-200000000002i−2i
χ3022-2-2-22-222-22-20022-2-20002i−2i002i−2i000000000000-220000000000−2i2i
χ3122-2-2-22-222-22-20022-2-2000−2i2i00−2i2i0000000000002-20000000000−2i2i
χ3222-2-2-22-222-22-20022-2-2000−2i2i00−2i2i000000000000-2200000000002i−2i
χ3322-2-2-22-22-22-22002-22-20002i−2i00−2i2i00000000002-200000000002i−2i00
χ3422-2-2-22-22-22-22002-22-20002i−2i00−2i2i0000000000-220000000000−2i2i00
χ3522-2-2-22-22-22-22002-22-2000−2i2i002i−2i00000000002-20000000000−2i2i00
χ3622-2-2-22-22-22-22002-22-2000−2i2i002i−2i0000000000-2200000000002i−2i00
χ3744-44-4-44-400004-40000000000000000000000000002i−2i2i−2i00000000
χ3844-44-4-44-400004-4000000000000000000000000000−2i2i−2i2i00000000
χ3944-44-4-44-40000-440000000000000000000000000002i−2i−2i2i00000000
χ4044-44-4-44-40000-44000000000000000000000000000−2i2i2i−2i00000000
χ4144-4-4-44-444-44-400-4-44400000000000000000000000000000000000
χ4244-4-4-44-44-44-4400-44-4400000000000000000000000000000000000
χ434-444-44-4-44-4-44000000000004i−4i0000000000000000000000000000
χ444-444-44-4-44-4-4400000000000−4i4i0000000000000000000000000000
χ454-444-44-4-4-444-400000004i−4i00000000000000000000000000000000
χ464-444-44-4-4-444-40000000−4i4i00000000000000000000000000000000
χ474-4-4-4444-444-4-40000000000000000000000000000000002i2−2i2000000
χ484-4-4-4444-444-4-4000000000000000000000000000000000−2i22i2000000
χ494-4-4-4444-4-4-4440000000000000000000000000000000000022−220000
χ504-4-4-4444-4-4-44400000000000000000000000000000000000−22220000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-8-888000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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