Finite Group Databasebeta

← Group #304402

Character table — Group #304402

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1
χ51111111111111111111-1-111-1-11111-1-1-11-11111-11-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-111-1-11111-1-1-11-1-1-1-1-1-11-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1-1-111-1-1-111-111111-1-11-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-1-1-1-111-1-1-111-11-1-1-1-1-1-111111-1-1-1-11111
χ9111111111111-1-11111-1111111-1-1-1-1-11-1-1-111-1-1-11111-1-111-1-111-1-1
χ10111111111111-1-11111-1111111-1-1-1-1-11-1-1-1-1-111-111-1-111-1-111-1-111
χ11111111111111-1-11111-111-1-111-1-111-1-111111-1-1-1-1-1-1-111-1-11111-1-1
χ12111111111111-1-11111-111-1-111-1-111-1-1111-1-111-1-1-111-1-111-1-1-1-111
χ13111111111111-1-11111-1-1-111-1-1-1-1-1-11-11-1111-1-111-111-1-1-1-111-1-111
χ14111111111111-1-11111-1-1-111-1-1-1-1-1-11-11-11-1-11111-1-1-11111-1-111-1-1
χ15111111111111-1-11111-1-1-1-1-1-1-1-1-11111-11-111-1-11-11-1-11111-1-1-1-111
χ16111111111111-1-11111-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-22002200-2-222000-2000000-20000000000000
χ1822222222222222-2-2-2-2200-2-200-2-2-2-2000200000020000000000000
χ19222222222222-2-2-2-2-2-2-200220022-2-20002000000-20000000000000
χ20222222222222-2-2-2-2-2-2-200-2-2002222000-200000020000000000000
χ2122222222-2-2-2-2222-2-22-22200-2-22-200200000000-200000000000000
χ2222222222-2-2-2-2222-2-22-2-2-200222-200-200000000200000000000000
χ2322222222-2-2-2-222-222-2-2000000-22000220-2000000-2000000000000
χ2422222222-2-2-2-222-222-2-2000000-22000-2-2020000002000000000000
χ2522222222-2-2-2-2-2-22-2-2222200-2-2-2200-200000000200000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-20022-2200200000000-200000000000000
χ2722222222-2-2-2-2-2-2-222-220000002-20002-202000000-2000000000000
χ2822222222-2-2-2-2-2-2-222-220000002-2000-220-20000002000000000000
χ2922-2-22-22-22-22-200-22-2202-2002-20000000000000000002i−2i002i−2i0000
χ3022-2-22-22-22-22-200-22-2202-2002-2000000000000000000−2i2i00−2i2i0000
χ3122-2-22-22-22-22-200-22-220-2200-220000000000000000002i−2i00−2i2i0000
χ3222-2-22-22-22-22-200-22-220-2200-22000000000000000000−2i2i002i−2i0000
χ3322-2-22-22-2-22-2200-2-22202-200-2200000000000000002i−2i002i−2i000000
χ3422-2-22-22-2-22-2200-2-22202-200-220000000000000000−2i2i00−2i2i000000
χ3522-2-22-22-2-22-2200-2-2220-22002-200000000000000002i−2i00−2i2i000000
χ3622-2-22-22-2-22-2200-2-2220-22002-20000000000000000−2i2i002i−2i000000
χ37444-4-44-4-44-4-44000000000000000000000000000000000000022−2200
χ38444-4-44-4-44-4-440000000000000000000000000000000000000−222200
χ39444-4-44-4-4-444-400000000000000000000000000000000000000022−22
χ40444-4-44-4-4-444-4000000000000000000000000000000000000000−2222
χ4144-44-4-4-4444-4-40000000000000004-4000000000000000000000000
χ4244-44-4-4-4444-4-4000000000000000-44000000000000000000000000
χ4344-44-4-4-44-4-4440000000004i−4i000000000000000000000000000000
χ4444-44-4-4-44-4-444000000000−4i4i000000000000000000000000000000
χ4544-4-44-44-44-44-4004-44-400000000000000000000000000000000000
χ4644-4-44-44-4-44-440044-4-400000000000000000000000000000000000
χ474-4-44-444-400004i−4i000000000000000000002i−2i2-2000000000000000
χ484-4-44-444-400004i−4i00000000000000000000−2i2i-22000000000000000
χ494-4-44-444-40000−4i4i000000000000000000002i−2i-22000000000000000
χ504-4-44-444-40000−4i4i00000000000000000000−2i2i2-2000000000000000
χ518-8888-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-8-888000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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