Finite Group Databasebeta

← Group #72262585

Character table — Group #72262585

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222444422224444444422222224444444444444444444444488884488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1
χ711111111111111111111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-1
χ811111111111111111111-1-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1-111
χ91111111111-1-111-1-1111-1111111-111-1-11-11-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111-1-111-1-1111-1111111-111-1-1-11-11-1-1-11111-1-111-1-111-1-111-1-1-1-111-11-11
χ111111111111-1-111-1-1111-1111111-1-1-1111-11-1-111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-11-11
χ121111111111-1-111-1-1111-1111111-1-1-111-11-11-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111-11-1
χ131111111111-1-111-1-1111-1-1-1-1-111-111111-11-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-111-111-1
χ141111111111-1-111-1-1111-1-1-1-1-111-11111-11-11-1-1-111-1-11111-1-1-1-111-1-11-111-1-11-1-11
χ151111111111-1-111-1-1111-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-111-1-111111111-11-1-1111-1-11
χ161111111111-1-111-1-1111-1-1-1-1-111-1-1-1-1-1-11-11-1-1-111-1-111-1-111111111-1111-1-1-111-1
χ172222222222222222-2-2222222-2-2-200000000-20000-2-2-2-200000022000000000000
χ182222222222222222-2-222-2-2-2-2-2-2-200000000-200002222000000-2-2000000000000
χ19222222222222-2-2-2-222-220000-2-2200220000-2000000000000-2-20022-2000000000
χ20222222222222-2-2-2-222-220000-2-2200-2-20000-20000000000002200-2-22000000000
χ21222222222222-2-2-2-2-2-2-22000022-222000000200000000-2-2-2-20000000200000000
χ22222222222222-2-2-2-2-2-2-22000022-2-2-200000020000000022220000000-200000000
χ232222222222-2-222-2-2-2-22-22222-2-220000000020000-2-222000000-2-2000000000000
χ242222222222-2-222-2-2-2-22-2-2-2-2-2-2-22000000002000022-2-200000022000000000000
χ252222222222-2-2-2-22222-2-20000-2-2-20022000020000000000002200-2-2-2000000000
χ262222222222-2-2-2-22222-2-20000-2-2-200-2-200002000000000000-2-200222000000000
χ272222222222-2-2-2-222-2-2-2-2000022222000000-200000000-2-2220000000-200000000
χ282222222222-2-2-2-222-2-2-2-20000222-2-2000000-20000000022-2-20000000200000000
χ2922222-22-2-2-200-2-2002-2202i2i−2i−2i2-2000000202000-2-22i−2i00000000000000002i−2i0000
χ3022222-22-2-2-200-2-2002-2202i2i−2i−2i2-2000000-20-2000222i−2i0000000000000000−2i2i0000
χ3122222-22-2-2-200-2-2002-220−2i−2i2i2i2-2000000202000-2-2−2i2i0000000000000000−2i2i0000
χ3222222-22-2-2-200-2-2002-220−2i−2i2i2i2-2000000-20-200022−2i2i00000000000000002i−2i0000
χ3322222-22-2-2-200-2-200-22202i2i−2i−2i-220000020200-2-200−2i2i000000000000002i−2i000000
χ3422222-22-2-2-200-2-200-22202i2i−2i−2i-2200000-20-2002200−2i2i00000000000000−2i2i000000
χ3522222-22-2-2-200-2-200-2220−2i−2i2i2i-220000020200-2-2002i−2i00000000000000−2i2i000000
χ3622222-22-2-2-200-2-200-2220−2i−2i2i2i-2200000-20-20022002i−2i000000000000002i−2i000000
χ3744444-44-4-4-40044004-4-400000-4400000000000000000000000000000000000000
χ3844444-44-4-4-4004400-44-4000004-400000000000000000000000000000000000000
χ394444-44-4-4-44440000000-40000000000022-2-202-22-2000000000000000000000000
χ404444-44-4-4-44440000000-400000000000-2-2220-22-22000000000000000000000000
χ414444-44-4-4-44-4-400000004000000000002-2-2202-2-22000000000000000000000000
χ424444-44-4-4-44-4-40000000400000000000-222-20-222-2000000000000000000000000
χ434444-4-4-444-400004-400000000000000022-2-20-22-22000000000000000000000000
χ444444-4-4-444-400004-4000000000000000-2-22202-22-2000000000000000000000000
χ454444-4-4-444-40000-440000000000000002-2-220-222-2000000000000000000000000
χ464444-4-4-444-40000-44000000000000000-222-202-2-22000000000000000000000000
χ474-44-40-400044-4000000002-22-2000002-200000000000002-22-2002-22-20000000000
χ484-44-40-400044-4000000002-22-200000-220000000000000-22-22002-2-220000000000
χ494-44-40-400044-400000000-22-22000002-20000000000000-22-2200-222-20000000000
χ504-44-40-400044-400000000-22-2200000-2200000000000002-22-200-22-220000000000
χ514-44-40-40004-44000000002-22-2000002-20000000000000-222-200-22-220000000000
χ524-44-40-40004-44000000002-22-200000-2200000000000002-2-2200-222-20000000000
χ534-44-40-40004-4400000000-22-22000002-200000000000002-2-22002-2-220000000000
χ544-44-40-40004-4400000000-22-2200000-220000000000000-222-2002-22-20000000000
χ5588-8-880-8000008i−8i00000000000000000000000000000000000000000000000000
χ5688-8-880-800000−8i8i00000000000000000000000000000000000000000000000000
χ5788-8-8-808000000000000000000000000000000000004-400000000000000000000
χ5888-8-8-80800000000000000000000000000000000000-4400000000000000000000
χ598-88-808000-800000000004i−4i−4i4i0000000000000000000000000000000000000000
χ608-88-808000-80000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ618-8-880008-80000000000000000000000000000000000000004-400000000000000
χ628-8-880008-8000000000000000000000000000000000000000-4400000000000000
χ638-8-88000-880000000000000000004-400000000000000000000000000000000000
χ648-8-88000-88000000000000000000-4400000000000000000000000000000000000

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