Finite Group Databasebeta

← Group #72262775

Character table — Group #72262775

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size111122222244448888888888881616161616161616161616161616161616161616161616161616161632323232323264646464
order1222222222444422224444444422222444444444444444444444444488884488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1
χ711111111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1111111-1-1
χ811111111111111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111111-1-111
χ91111111111-1-111-1-1111-1111111-11-111-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11-11-1
χ101111111111-1-111-1-1111-1111111-11-1-1-1-1111-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-11-11
χ111111111111-1-111-1-1111-1111111-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-111-11-11
χ121111111111-1-111-1-1111-1111111-1-11-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ131111111111-1-111-1-1111-1-1-1-1-111-11-111-1111-1-1-1111111-1-111-1-1-1-1-1-1-11-1-111-111-1
χ141111111111-1-111-1-1111-1-1-1-1-111-11-1-1-1-1111-1-1-1-1-111-1-1-1-1111111111-1-1-1111-1-11
χ151111111111-1-111-1-1111-1-1-1-1-111-1-1111-1-1-1-1111111111-1-111-1-1-1-1-1-1-1111-1-11-1-11
χ161111111111-1-111-1-1111-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-111-1-1-1-1111111111-111-1-1-111-1
χ172222222222222222-2-2222222-2-2-20000-200000000-2-200-2-2220000000000000000
χ182222222222222222-2-222-2-2-2-2-2-2-20000-200000000220022-2-20000000000000000
χ19222222222222-2-2-2-222-220000-2-220000-200000022000000000022-2-20-200000000
χ20222222222222-2-2-2-222-220000-2-220000-2000000-2-20000000000-2-2220200000000
χ21222222222222-2-2-2-2-2-2-22000022-2002220000000000-2-20000-2-200002000000000
χ22222222222222-2-2-2-2-2-2-22000022-200-2-220000000000220000220000-2000000000
χ232222222222-2-222-2-2-2-22-22222-2-2200002000000002200-2-2-2-20000000000000000
χ242222222222-2-222-2-2-2-22-2-2-2-2-2-2-220000200000000-2-20022220000000000000000
χ252222222222-2-2-2-22222-2-20000-2-2-200002000000220000000000-2-2220-200000000
χ262222222222-2-2-2-22222-2-20000-2-2-200002000000-2-2000000000022-2-20200000000
χ272222222222-2-2-2-222-2-2-2-200002220022-20000000000-2-20000220000-2000000000
χ282222222222-2-2-2-222-2-2-2-2000022200-2-2-20000000000220000-2-200002000000000
χ2922222-2-22-2-200-2-2002-2202i2i−2i−2i2-20020000002-2-20000002i−2i0000000000002i−2i0000
χ3022222-2-22-2-200-2-2002-2202i2i−2i−2i2-200-2000000-2220000002i−2i000000000000−2i2i0000
χ3122222-2-22-2-200-2-2002-220−2i−2i2i2i2-20020000002-2-2000000−2i2i000000000000−2i2i0000
χ3222222-2-22-2-200-2-2002-220−2i−2i2i2i2-200-2000000-222000000−2i2i0000000000002i−2i0000
χ3322222-2-22-2-200-2-200-22202i2i−2i−2i-220200002-2-2000000000−2i2i00000000002i−2i000000
χ3422222-2-22-2-200-2-200-22202i2i−2i−2i-220-20000-222000000000−2i2i0000000000−2i2i000000
χ3522222-2-22-2-200-2-200-2220−2i−2i2i2i-220200002-2-20000000002i−2i0000000000−2i2i000000
χ3622222-2-22-2-200-2-200-2220−2i−2i2i2i-220-20000-2220000000002i−2i00000000002i−2i000000
χ3744444-4-44-4-40044004-4-400000-4400000000000000000000000000000000000000
χ3844444-4-44-4-4004400-44-4000004-400000000000000000000000000000000000000
χ394444-44-4-44-400004-40000000000022000-22-2-22-200000000000000000000000000
χ404444-44-4-44-400004-400000000000-2-20002-222-2200000000000000000000000000
χ414444-44-4-44-40000-44000000000002-2000-22-22-2200000000000000000000000000
χ424444-44-4-44-40000-4400000000000-220002-22-22-200000000000000000000000000
χ434444-4-44-4-44440000000-4000000022000-2-22-2-2200000000000000000000000000
χ444444-4-44-4-44440000000-40000000-2-200022-222-200000000000000000000000000
χ454444-4-44-4-44-4-40000000400000002-2000-2-2222-200000000000000000000000000
χ464444-4-44-4-44-4-4000000040000000-2200022-2-2-2200000000000000000000000000
χ4744-4-400400-44-4000000002i−2i2i−2i000000000000002i−2i002-2002i−2i2-22i−2i000000000000
χ4844-4-400400-44-4000000002i−2i2i−2i00000000000000−2i2i00-22002i−2i-22−2i2i000000000000
χ4944-4-400400-44-400000000−2i2i−2i2i000000000000002i−2i00-2200−2i2i-222i−2i000000000000
χ5044-4-400400-44-400000000−2i2i−2i2i00000000000000−2i2i002-200−2i2i2-2−2i2i000000000000
χ5144-4-400400-4-44000000002i−2i2i−2i000000000000002i−2i00-2200−2i2i2-2−2i2i000000000000
χ5244-4-400400-4-44000000002i−2i2i−2i00000000000000−2i2i002-200−2i2i-222i−2i000000000000
χ5344-4-400400-4-4400000000−2i2i−2i2i000000000000002i−2i002-2002i−2i-22−2i2i000000000000
χ5444-4-400400-4-4400000000−2i2i−2i2i00000000000000−2i2i00-22002i−2i2-22i−2i000000000000
χ5588-8-800-800800000000004-4-440000000000000000000000000000000000000000
χ5688-8-800-80080000000000-444-40000000000000000000000000000000000000000
χ578-88-80800-800000000000000000000000000000000000000000004i−4i0000000000
χ588-88-80800-80000000000000000000000000000000000000000000−4i4i0000000000
χ598-88-80-8008000000000000000000004-4000000000000000000000000000000000
χ608-88-80-800800000000000000000000-44000000000000000000000000000000000
χ618-8-88800-800008i−8i00000000000000000000000000000000000000000000000000
χ628-8-88800-80000−8i8i00000000000000000000000000000000000000000000000000
χ638-8-88-8008000000000000000000000000000000004-40000000000000000000000
χ648-8-88-800800000000000000000000000000000000-440000000000000000000000

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