Finite Group Databasebeta

← Group #72262481

Character table — Group #72262481

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11112222224488888888888888888888816161616161616161616161616161616161632323232323232323264646464
order1222222222442244444444444444444442222244444444444442444488888888
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111
χ511111111111111111-1-1-1-11111-1-1-1-111111-1-111111111111-1-1-1-11-11-1-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11-11-1-1111111-1-1
χ711111111111111111-1-1-1-1-1-1-1-1111111111-1-1111111111-1-11111-1-1-1-111111-1-1-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111
χ9111111111111-1-11-1-11111111111111111-1111-1-111-1-11-111-1-111-1-1-1-1-111-1-11-11-1
χ10111111111111-1-11-1-11111111111111111-111-11-1-1-111-1111-1-111-1-1-1-1-1-1-111-11-11
χ11111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1111-1-111-1-11-1-1-111-1-11-11-11-1-1111-1-11
χ12111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-111-11-1-1-111-11-1-111-1-11-11-1111-1-1-111-1
χ13111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-111-1-11-11111-1-1-11-111-1-111-111-1
χ14111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-111-111111-1-1-11-11111-1-11-1-11
χ15111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11-1-1-1-1-1111111-111-1-1-11-11
χ16111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-111-11-1-1-1-1111111-1-1-1111-11-1
χ1722222222222222222000000002222-2-2-2-2-20000-20000000022-2-20000-200000000
χ182222222222222222200000000-2-2-2-2-2-2-2-2-20000-200000000-2-2220000200000000
χ19222222222222-2-22-2-2000000002222-2-2-2-220000200000000-2-2-2-20000200000000
χ20222222222222-2-22-2-200000000-2-2-2-2-2-2-2-22000020000000022220000-200000000
χ212222222222-2-222-2-2-2000022220000-2-22220000-2000000-2-2000020-20000000000
χ222222222222-2-222-2-2-20000-2-2-2-20000-2-22220000-2000000220000-2020000000000
χ232222222222-2-222-2-2-222220000000022-2-2-2-2-20020000000000000-202000000000
χ242222222222-2-222-2-2-2-2-2-2-20000000022-2-2-222002000000000000020-2000000000
χ252222222222-2-2-2-2-222000022220000-2-222-200002000000-2-20000-2020000000000
χ262222222222-2-2-2-2-2220000-2-2-2-20000-2-222-20000200000022000020-20000000000
χ272222222222-2-2-2-2-22222220000000022-2-22-2-200-2000000000000020-2000000000
χ282222222222-2-2-2-2-222-2-2-2-20000000022-2-222200-20000000000000-202000000000
χ2922222-22-2-2-2-2-200200000000002i2i−2i−2i2-22-2000020002-20-200002i−2i00000002i−2i0000
χ3022222-22-2-2-2-2-200200000000002i2i−2i−2i2-22-20000-2000-220200002i−2i0000000−2i2i0000
χ3122222-22-2-2-2-2-200200000000002i2i−2i−2i-22-220002002-200-200000−2i2i000002i−2i000000
χ3222222-22-2-2-2-2-200200000000002i2i−2i−2i-22-22000-200-2200200000−2i2i00000−2i2i000000
χ3322222-22-2-2-2-2-20020000000000−2i−2i2i2i2-22-2000020002-20-20000−2i2i0000000−2i2i0000
χ3422222-22-2-2-2-2-20020000000000−2i−2i2i2i2-22-20000-2000-22020000−2i2i00000002i−2i0000
χ3522222-22-2-2-2-2-20020000000000−2i−2i2i2i-22-220002002-200-2000002i−2i00000−2i2i000000
χ3622222-22-2-2-2-2-20020000000000−2i−2i2i2i-22-22000-200-22002000002i−2i000002i−2i000000
χ3744444-44-4-4-44400-4000000000000004-4-440000000000000000000000000000000
χ3844444-44-4-4-44400-400000000000000-444-40000000000000000000000000000000
χ394444-44-4-4-44000004-40000000000000000000220-22-22-2-20000000000000000000
χ404444-44-4-4-44000004-40000000000000000000-2-202-22-2220000000000000000000
χ414444-44-4-4-4400000-4400000000000000000002-20-222-2-220000000000000000000
χ424444-44-4-4-4400000-440000000000000000000-2202-2-222-20000000000000000000
χ434444-4-4-444-4004-40000000000000000000000220-2-2-2-2220000000000000000000
χ444444-4-4-444-4004-40000000000000000000000-2-202222-2-20000000000000000000
χ454444-4-4-444-400-4400000000000000000000002-20-2-2222-20000000000000000000
χ464444-4-4-444-400-440000000000000000000000-22022-2-2-220000000000000000000
χ4744-4-440-40004i−4i000002i2i−2i−2i22-2-22+2i−2−2i2−2i−2+2i000002-20000000002i−2i00000000000000000
χ4844-4-440-40004i−4i000002i2i−2i−2i-2-222−2−2i2+2i−2+2i2−2i000002-2000000000−2i2i00000000000000000
χ4944-4-440-40004i−4i00000−2i−2i2i2i22-2-2−2−2i2+2i−2+2i2−2i00000-220000000002i−2i00000000000000000
χ5044-4-440-40004i−4i00000−2i−2i2i2i-2-2222+2i−2−2i2−2i−2+2i00000-22000000000−2i2i00000000000000000
χ5144-4-440-4000−4i4i000002i2i−2i−2i22-2-2−2+2i2−2i−2−2i2+2i00000-22000000000−2i2i00000000000000000
χ5244-4-440-4000−4i4i000002i2i−2i−2i-2-2222−2i−2+2i2+2i−2−2i00000-220000000002i−2i00000000000000000
χ5344-4-440-4000−4i4i00000−2i−2i2i2i22-2-22−2i−2+2i2+2i−2−2i000002-2000000000−2i2i00000000000000000
χ5444-4-440-4000−4i4i00000−2i−2i2i2i-2-222−2+2i2−2i−2−2i2+2i000002-20000000002i−2i00000000000000000
χ5588-8-8-80800000000000000000000000000000000000000004-4000000000000000
χ5688-8-8-8080000000000000000000000000000000000000000-44000000000000000
χ578-88-808000-800000004i−4i4i−4i0000000000000000000000000000000000000000000
χ588-88-808000-80000000−4i4i−4i4i0000000000000000000000000000000000000000000
χ598-88-80-80008000000000004-44-4000000000000000000000000000000000000000
χ608-88-80-8000800000000000-44-44000000000000000000000000000000000000000
χ618-8-880008-80000000000004-4-44000000000000000000000000000000000000000
χ628-8-880008-8000000000000-444-4000000000000000000000000000000000000000
χ638-8-88000-88000000004-4-440000000000000000000000000000000000000000000
χ648-8-88000-8800000000-444-40000000000000000000000000000000000000000000

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