Finite Group Databasebeta

← Group #276121

Character table — Group #276121

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1111-1
χ1722222222222-2-2-2-222222-2-2-2-2-222-2-222-2-200000000000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-222-2-22200000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-222-2-2222-2-2-2-22200000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-222-2-22-2-22222-2-200000000000000000000000000
χ2122222222-2-2-22222-222-2-222-2-2-20000000022-2-222-2-2000000000000000000
χ2222222222-2-2-22222-222-2-222-2-2-200000000-2-222-2-222000000000000000000
χ2322222222-2-2-22222-2-2-222-2-2-2-220000000022-2-2-2-222000000000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2200000000-2-22222-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222000000000000000000002i−2i2i−2i0000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222200000000000000000000−2i2i−2i2i0000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000002i−2i−2i2i0000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-200000000000000000000−2i2i2i−2i0000000000
χ292-22-2-2-22222-222-2-2-20000002-202i−2i2i−2i000000000000002-20000002i−2i000000
χ302-22-2-2-22222-222-2-2-20000002-202i−2i2i−2i00000000000000-22000000−2i2i000000
χ312-22-2-2-22222-222-2-2-20000002-20−2i2i−2i2i000000000000002-2000000−2i2i000000
χ322-22-2-2-22222-222-2-2-20000002-20−2i2i−2i2i00000000000000-220000002i−2i000000
χ332-22-2-2-22222-2-2-222-2000000-2202i−2i−2i2i0000000000002i−2i0000002-200000000
χ342-22-2-2-22222-2-2-222-2000000-2202i−2i−2i2i000000000000−2i2i000000-2200000000
χ352-22-2-2-22222-2-2-222-2000000-220−2i2i2i−2i0000000000002i−2i000000-2200000000
χ362-22-2-2-22222-2-2-222-2000000-220−2i2i2i−2i000000000000−2i2i0000002-200000000
χ374444-4-4-4-44-4-4000044-44-4000000000000000000000000000000000000000
χ384444-4-4-4-44-4-400004-44-44000000000000000000000000000000000000000
χ394444-4-4-4-4-4440000-44-4-44000000000000000000000000000000000000000
χ404444-4-4-4-4-4440000-4-444-4000000000000000000000000000000000000000
χ4144-4-4-44-440004-44-400000000000000000000000000000000000000002i2−2i200
χ4244-4-4-44-440004-44-40000000000000000000000000000000000000000−2i22i200
χ4344-4-4-44-44000-44-44000000000000000000000000000000000000002i2−2i20000
χ4444-4-4-44-44000-44-4400000000000000000000000000000000000000−2i22i20000
χ454-44-444-4-44-440000-400000000000004-40000000000000000000000000000
χ464-44-444-4-44-440000-40000000000000-440000000000000000000000000000
χ474-44-444-4-4-44-4000040000000000000004i−4i00000000000000000000000000
χ484-44-444-4-4-44-400004000000000000000−4i4i00000000000000000000000000
χ494-44-4-4-444-4-4444-4-44000000-4400000000000000000000000000000000000
χ504-44-4-4-444-4-44-4-44440000004-400000000000000000000000000000000000
χ514-4-444-4-440004-4-44000000000000000000004i−4i0000000000000000000000
χ524-4-444-4-440004-4-4400000000000000000000−4i4i0000000000000000000000
χ534-4-444-4-44000-444-40000000000000000000000004i−4i000000000000000000
χ544-4-444-4-44000-444-4000000000000000000000000−4i4i000000000000000000
χ554-4-44-444-40000000000004-4000000000002i2−2i2002i2−2i200000000000000000000
χ564-4-44-444-40000000000004-400000000000−2i22i200−2i22i200000000000000000000
χ574-4-44-444-4000000000000-44000000000002i2−2i200−2i22i200000000000000000000
χ584-4-44-444-4000000000000-4400000000000−2i22i2002i2−2i200000000000000000000
χ5988-8-88-88-8000000000000000000000000000000000000000000000000000

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