Finite Group Databasebeta

← Group #335305

Character table — Group #335305

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111111112222222244888888888888888816161616161616161616161616161616323232
order12222222444444444444448888888888882444444488888888444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-11-111111-1-1-1-1-1-1-11-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11-11-11111-1-111-1-1-1-1-1-11
χ41111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111111-1-1
χ511111111111111111111-1-1111111111111-11-11-1-1-11-1-11111-1-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1111-11
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-11-1-1111-1-111-1-1-111
χ9111111111111111111-1-1111111111111111-11-11-1-1-111-1-1-1-111-1-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-11-11
χ11111111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111-1-111-1
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-111-111
χ13111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111
χ14111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1111111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-111-111-1-11111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-11111-1-1-1-11-1-1
χ17222222222-222-2-22-2-2-20022000022-2-20000-2020-200000000000000
χ18222222222-222-2-22-2-2-200220000-2-2220000-20-20200000000000000
χ19222222222-222-2-22-2-2-200-2-2000022-2-2000020-20200000000000000
χ20222222222-222-2-22-2-2-200-2-20000-2-22200002020-200000000000000
χ2122222222-22-2-222-22-2-2220022-2-200000000020-2000-200000000000
χ2222222222-22-2-222-22-2-22200-2-222000000000-202000-200000000000
χ2322222222-22-2-222-22-2-2-2-20022-2-2000000000-202000200000000000
χ2422222222-22-2-222-22-2-2-2-200-2-22200000000020-2000200000000000
χ252-2-22-2-222-2-22222-2-22-20000000000000000000002-2000002i−2i2i−2i000
χ262-2-22-2-222-2-22222-2-22-20000000000000000000002-200000−2i2i−2i2i000
χ272-2-22-2-222-2-22222-2-22-2000000000000000000000-22000002i−2i−2i2i000
χ282-2-22-2-222-2-22222-2-22-2000000000000000000000-2200000−2i2i2i−2i000
χ2944444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000
χ304444-4-4-4-40000000000000022−22000022−2222-2-20000000000000000000
χ314444-4-4-4-40000000000000022−220000−2222-2-2220000000000000000000
χ324444-4-4-4-400000000000000−2222000022−22-2-2220000000000000000000
χ334444-4-4-4-400000000000000−22220000−222222-2-20000000000000000000
χ3444-4-44-44-4404-400-400000000000000022−2222−220000000000000000000
χ3544-4-44-44-4404-400-4000000000000000−2222−22220000000000000000000
χ3644-4-44-44-4-40-44004000000000004i−4i0000000000000000000000000
χ3744-4-44-44-4-40-4400400000000000−4i4i0000000000000000000000000
χ3844-4-4-44-4404004-40-4000000004i−4i000000000000000000000000000
χ3944-4-4-44-4404004-40-400000000−4i4i000000000000000000000000000
χ4044-4-4-44-440-400-44040000000000000022−22−22220000000000000000000
χ4144-4-4-44-440-400-440400000000000000−222222−220000000000000000000
χ424-44-44-4-440400-440-4004i−4i000000000000000000000000000000000
χ434-44-44-4-440400-440-400−4i4i000000000000000000000000000000000
χ444-44-44-4-440-4004-404000000000000000000000000000022−220000000
χ454-44-44-4-440-4004-4040000000000000000000000000000−22220000000
χ464-44-4-444-440-4400-400000000000000000000000000022−22000000000
χ474-44-4-444-440-4400-4000000000000000000000000000−2222000000000
χ484-44-4-444-4-404-4004000004i−4i0000000000000000000000000000000
χ494-44-4-444-4-404-400400000−4i4i0000000000000000000000000000000
χ504-4-44-4-44444-4-4-4-4444-400000000000000000000000000000000000
χ514-4-44-4-4444-4-4-4444-4-4400000000000000000000000000000000000
χ524-4-44-4-444-4444-4-4-44-4400000000000000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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