Finite Group Databasebeta

← Group #297113

Character table — Group #297113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444444448888888824444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-11-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1
χ9111111111-1-1-1-1-1-11111111-1111111-1-1-1-11-1-1-1-11-111-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-11111111-1111111-1-1-1-1-111-1-1-11-1-1111-1-1-1-111-11
χ11111111111-1-1-1-1-1-11111111-111-1-1-1-111111-1-1-1-11-111-1-1-111-1-111-11
χ12111111111-1-1-1-1-1-11111111-111-1-1-1-11111-111-1-1-11-1-11-1-11111-1-11-1
χ13111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11-11111-1-1-11-1-11111-1-1-11
χ14111111111-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1-11-111-1111-1-1-111-1-1111-1
χ15111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111-11111-1-1-1111-1-1-1-1111-1
χ16111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-11-111-1111-111-1-111-1-1-11
χ1722222222222-2-222-2-2-2-2222-2-2-2000000000002-2000000000000000
χ1822222222222-2-222-2-2-2-22-2-2-22200000000000-22000000000000000
χ19222222222-2-222-2-2-2-2-2-22222-2-200000000000-22000000000000000
χ20222222222-2-222-2-2-2-2-2-22-2-2222000000000002-2000000000000000
χ2122222222-22222-2-222-2-2-200-2000000000022000-2-20000000000000
χ2222222222-22222-2-222-2-2-200-20000000000-2-2000220000000000000
χ2322222222-222-2-2-2-2-2-222-200200000000000020000-22-20000000000
χ2422222222-222-2-2-2-2-2-222-2002000000000000-200002-220000000000
χ2522222222-2-2-22222-2-222-200-2000000000000200002-2-20000000000
χ2622222222-2-2-22222-2-222-200-2000000000000-20000-2220000000000
χ2722222222-2-2-2-2-22222-2-2-200200000000002-2000-220000000000000
χ2822222222-2-2-2-2-22222-2-2-20020000000000-220002-20000000000000
χ2922-222-2-2-2-20000002-22-222i−2i02i−2i000022-2-20000000000002i−2i000000
χ3022-222-2-2-2-20000002-22-222i−2i02i−2i0000-2-222000000000000−2i2i000000
χ3122-222-2-2-2-20000002-22-22−2i2i0−2i2i000022-2-2000000000000−2i2i000000
χ3222-222-2-2-2-20000002-22-22−2i2i0−2i2i0000-2-2220000000000002i−2i000000
χ3322-222-2-2-2-2000000-22-2222i−2i0−2i2i22-2-2000000000000002i−2i00000000
χ3422-222-2-2-2-2000000-22-2222i−2i0−2i2i-2-22200000000000000−2i2i00000000
χ3522-222-2-2-2-2000000-22-222−2i2i02i−2i22-2-200000000000000−2i2i00000000
χ3622-222-2-2-2-2000000-22-222−2i2i02i−2i-2-222000000000000002i−2i00000000
χ3744-444-4-4-440000004-4-44-4000000000000000000000000000000000
χ3844-444-4-4-44000000-444-4-4000000000000000000000000000000000
χ3944-4-4-44-44000004i−4i000000000000000000000000000000002i−2i2-200
χ4044-4-4-44-44000004i−4i00000000000000000000000000000000−2i2i-2200
χ4144-4-4-44-4400000−4i4i000000000000000000000000000000002i−2i-2200
χ4244-4-4-44-4400000−4i4i00000000000000000000000000000000−2i2i2-200
χ434-444-4-4-440004i−4i0000000000002-22-22i−2i2i−2i00000000000000000000
χ444-444-4-4-440004i−4i000000000000-22-22−2i2i−2i2i00000000000000000000
χ454-444-4-4-44000−4i4i0000000000002-22-2−2i2i−2i2i00000000000000000000
χ464-444-4-4-44000−4i4i000000000000-22-222i−2i2i−2i00000000000000000000
χ474-4-44-444-404i−4i000000000000002-2-222i−2i−2i2i00000000000000000000
χ484-4-44-444-404i−4i00000000000000-222-2−2i2i2i−2i00000000000000000000
χ494-4-44-444-40−4i4i000000000000002-2-22−2i2i2i−2i00000000000000000000
χ504-4-44-444-40−4i4i00000000000000-222-22i−2i−2i2i00000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ528-88-888-8-8000000000000000000000000000000000000000000000
χ538-8-8-88-888000000000000000000000000000000000000000000000

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