Finite Group Databasebeta

← Group #248713

Character table — Group #248713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244224444444442222244444444442244444444444888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-1111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1
χ411111111111111111111-1-1-1-11-1-1111-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-111
χ51111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1111-11-1111111-1-1-1-1-1-1
χ61111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111-1-1-1-1111-1-1-1-11111-1-11111-1111-111-1-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-11-1-111111111-1-1
χ911111111111-1-1111111-11111-111-11111-1-1-11-11-1-1-1-1-111-1-111-1-11-1
χ1011111111111-1-1111111-11111-111-11111-1-1-1-11-1-11-1-1-1-1-111-1-111-11
χ1111111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-111-11-11-1-1111-1-11111-1-1-11
χ1211111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-11-1-1111111-1-1-1-1111-1
χ1311111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-111-11-1-111-1-1-1-111-11
χ1411111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111-11-1111-1-1-1-11111-1-11-1
χ1511111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-111-111-1-111-1-111-1-1111-1
χ1611111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-11-11-111-11111-1-111-1-1-11
χ1722222222-2-22222222-2-220000-200-2-2-20000-2000200000000000000
χ1822222222-2-2222-2-2-2-2-2-220000-200-22200002000-200000000000000
χ1922222222-2-22-2-22222-2-2-200002002-2-200002000-200000000000000
χ2022222222-2-22-2-2-2-2-2-2-2-2-200002002220000-2000200000000000000
χ21222222-2-222-2220000-2-2-222-2-2-200200000000000002-20000000000
χ22222222-2-222-2220000-2-2-2-2-222-20020000000000000-220000000000
χ23222222-2-222-2-2-20000-2-2222-2-2200-20000000000000-220000000000
χ24222222-2-222-2-2-20000-2-22-2-222200-200000000000002-20000000000
χ25222222-2-2-2-2-222000022-20000222-200-2-222000000-2000000000000
χ26222222-2-2-2-2-222000022-200002-2-2-20022-2-20000002000000000000
χ27222222-2-2-2-2-2-2-200002220000-222200-2-2-2-20000002000000000000
χ28222222-2-2-2-2-2-2-200002220000-2-2-22002222000000-2000000000000
χ292222-2-2222-2-20022-2-22-20000000002-2000000200-20000000002-200
χ302222-2-2222-2-20022-2-22-20000000002-2000000-2002000000000-2200
χ312222-2-2222-2-200-2-2222-2000000000-22000000200-2000000000-2200
χ322222-2-2222-2-200-2-2222-2000000000-22000000-20020000000002-200
χ332222-2-222-22-20022-2-2-22000000000-220000020-20000000002-20000
χ342222-2-222-22-20022-2-2-22000000000-2200000-202000000000-220000
χ352222-2-222-22-200-2-222-220000000002-20000020-2000000000-220000
χ362222-2-222-22-200-2-222-220000000002-200000-2020000000002-20000
χ374444-4-4-4-44-44000000-440000000000000000000000000000000000
χ384444-4-4-4-4-4440000004-40000000000000000000000000000000000
χ3944-4-4004-400000004i−4i0002-22-202i−2i0002i−2i000000000000000000000
χ4044-4-4004-400000004i−4i000-22-220−2i2i000−2i2i000000000000000000000
χ4144-4-4004-40000000−4i4i0002-22-20−2i2i000−2i2i000000000000000000000
χ4244-4-4004-40000000−4i4i000-22-2202i−2i0002i−2i000000000000000000000
χ4344-4-400-44000004i−4i000002-2-2202i−2i000−2i2i000000000000000000000
χ4444-4-400-44000004i−4i00000-222-20−2i2i0002i−2i000000000000000000000
χ4544-4-400-4400000−4i4i000002-2-220−2i2i0002i−2i000000000000000000000
χ4644-4-400-4400000−4i4i00000-222-202i−2i000−2i2i000000000000000000000
χ474-44-44-4000004i−4i0000000000000000000000000000002-22i−2i000000
χ484-44-44-4000004i−4i000000000000000000000000000000-22−2i2i000000
χ494-44-44-400000−4i4i0000000000000000000000000000002-2−2i2i000000
χ504-44-44-400000−4i4i000000000000000000000000000000-222i−2i000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004-40000000000000000000
χ538-8-880000000000000000000000000000-440000000000000000000

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