Finite Group Databasebeta

← Group #72303923

Character table — Group #72303923

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222222222222244444422224444444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1
χ311111111111111111111111111-1-1111-1-1-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-11-11111-1-111
χ811111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-11111111-1-1
χ91111111111-1-1-1-11-1-11111111111-111-111-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1111-1-11-11-1
χ101111111111-1-1-1-11-1-11111111111-1-1-1-111-1-1-11-1111111-1-1-1-1-1-111-1-11-111-1-1-11-11
χ111111111111-1-1-1-11-1-1111111111-1111-1-1-111-1-11-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-11
χ121111111111-1-1-1-11-1-1111111111-11-1-1-1-1-111-1-11111111-1-1-1-1-1-111-1-11-1-1-1111-11-1
χ131111111111-1-1-1-11-1-1111-1-1-1-1111-111-111-1-1-11-111-1-1-1-11111-1-11111-1-1-1-1111-1-11
χ141111111111-1-1-1-11-1-1111-1-1-1-1111-1-1-1-111-1-1-11-1-1-111-1-111-1-111-1-11111-1-111-111-1
χ151111111111-1-1-1-11-1-1111-1-1-1-111-1111-1-1-111-1-1111-1-1-1-11111-1-11111-1-111-1-1-111-1
χ161111111111-1-1-1-11-1-1111-1-1-1-111-11-1-1-1-1-111-1-11-1-111-1-111-1-111-1-1111111-1-11-1-11
χ1722222222222222222-2-222222-2-20000-20000-2000000-2-2-2-2000000220000000000
χ1822222222222222222-2-22-2-2-2-2-2-20000-20000-20000002222000000-2-20000000000
χ19222222222222-2-2-22-222-20000-2-2002220000-20000220000-2-2000000-2000000000
χ20222222222222-2-2-22-222-20000-2-200-2-220000-20000-2-20000220000002000000000
χ21222222222222-2-2-22-2-2-2-20000220000-200002002200000000-2-2-2-2000200000000
χ22222222222222-2-2-22-2-2-2-20000220000-20000200-2-2000000002222000-200000000
χ232222222222-2-222-2-2222-20000-2-20022-2000020000-2-20000-2-20000002000000000
χ242222222222-2-222-2-2222-20000-2-200-2-2-200002000022000022000000-2000000000
χ252222222222-2-222-2-22-2-2-2000022000020000-200220000000022-2-2000-200000000
χ262222222222-2-222-2-22-2-2-2000022000020000-200-2-200000000-2-222000200000000
χ272222222222-2-2-2-22-2-2-2-222222-2-20000200002000000-2-222000000-2-20000000000
χ282222222222-2-2-2-22-2-2-2-22-2-2-2-2-2-2000020000200000022-2-2000000220000000000
χ2922222-22-2-2-200002002-2-22i2i−2i−2i2-202000002-200-200002i−2i000000000000002i−2i0000
χ3022222-22-2-2-200002002-2-22i2i−2i−2i2-20-200000-2200200002i−2i00000000000000−2i2i0000
χ3122222-22-2-2-200002002-2-2−2i−2i2i2i2-202000002-200-20000−2i2i00000000000000−2i2i0000
χ3222222-22-2-2-200002002-2-2−2i−2i2i2i2-20-200000-220020000−2i2i000000000000002i−2i0000
χ3322222-22-2-2-20000200-22-22i2i−2i−2i-22200002-2000-200000−2i2i0000000000002i−2i000000
χ3422222-22-2-2-20000200-22-22i2i−2i−2i-22-20000-22000200000−2i2i000000000000−2i2i000000
χ3522222-22-2-2-20000200-22-2−2i−2i2i2i-22200002-2000-2000002i−2i000000000000−2i2i000000
χ3622222-22-2-2-20000200-22-2−2i−2i2i2i-22-20000-220002000002i−2i0000000000002i−2i000000
χ3744444-44-4-4-40000-4004-440000-4400000000000000000000000000000000000000
χ3844444-44-4-4-40000-400-44400004-400000000000000000000000000000000000000
χ394444-44-4-4-4444000-4000000000022000-22-220-2-200000000000000000000000000
χ404444-44-4-4-4444000-40000000000-2-20002-22-202200000000000000000000000000
χ414444-44-4-4-44-4-4000400000000002-2000-222-20-2200000000000000000000000000
χ424444-44-4-4-44-4-400040000000000-220002-2-2202-200000000000000000000000000
χ434444-4-4-444-4004400-400000000022000-2-2-2-202200000000000000000000000000
χ444444-4-4-444-4004400-4000000000-2-200022220-2-200000000000000000000000000
χ454444-4-4-444-400-4-40040000000002-2000-2-22202-200000000000000000000000000
χ464444-4-4-444-400-4-4004000000000-2200022-2-20-2200000000000000000000000000
χ4744-4-404000-44-4000000002i−2i2i−2i00002-200000000002-20000002i−2i2i−2i2i−2i0000000000
χ4844-4-404000-44-4000000002i−2i2i−2i0000-220000000000-22000000−2i2i−2i2i2i−2i0000000000
χ4944-4-404000-44-400000000−2i2i−2i2i00002-200000000002-2000000−2i2i−2i2i−2i2i0000000000
χ5044-4-404000-44-400000000−2i2i−2i2i0000-220000000000-220000002i−2i2i−2i−2i2i0000000000
χ5144-4-404000-4-44000000002i−2i2i−2i00002-20000000000-220000002i−2i−2i2i−2i2i0000000000
χ5244-4-404000-4-44000000002i−2i2i−2i0000-2200000000002-2000000−2i2i2i−2i−2i2i0000000000
χ5344-4-404000-4-4400000000−2i2i−2i2i00002-20000000000-22000000−2i2i2i−2i2i−2i0000000000
χ5444-4-404000-4-4400000000−2i2i−2i2i0000-2200000000002-20000002i−2i−2i2i2i−2i0000000000
χ5588-8-80-8000800000000004-4-440000000000000000000000000000000000000000
χ5688-8-80-800080000000000-444-40000000000000000000000000000000000000000
χ578-88-880-800000000000000000000000000000004i−4i000000000000000000000000
χ588-88-880-80000000000000000000000000000000−4i4i000000000000000000000000
χ598-88-8-8080000000000000000000000000000000000000004-40000000000000000
χ608-88-8-808000000000000000000000000000000000000000-440000000000000000
χ618-8-880008-8000000000000000000000000000000000004-4000000000000000000
χ628-8-880008-800000000000000000000000000000000000-44000000000000000000
χ638-8-88000-880008-800000000000000000000000000000000000000000000000000
χ648-8-88000-88000-8800000000000000000000000000000000000000000000000000

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