Finite Group Databasebeta

← Group #72262611

Character table — Group #72262611

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444444888888888888888161616161616161616161616161616161616161632323232323232323264646464
order1222222222224444222444444444444222444444444444444442444488884488
χ11111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111-1-11-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-11-11-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111-11-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-11-11-11111-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1111111-1-1
χ91111111111-1-1-1-111-1111-11111-1-1-1-111-11-1-1111-1-1-11111-1-1-1-1-1-11-1-11111-1-11-11-1
χ101111111111-1-1-1-111-1111-11111-1-1-1-111-11-1-1111-1-1-1-1-1-1-1-1-11111-111-1111-1-1-11-11
χ111111111111-1-1-1-111-1111-11111-1-1-1-111-1-11-1-1-1-11111111-1-1-1-1-1-11-1-111-1-111-11-11
χ121111111111-1-1-1-111-1111-11111-1-1-1-111-1-11-1-1-1-1111-1-1-1-1-1-11111-111-11-1-1111-11-1
χ131111111111-1-1-1-111-1111-1-1-1-1-1111111-11-1-1111-1-1-111-1-111-1-111-1-111-1-1-1111-1-11
χ141111111111-1-1-1-111-1111-1-1-1-1-1111111-11-1-1111-1-1-1-1-1111111-1-111-1-1-1-1-111-111-1
χ151111111111-1-1-1-111-1111-1-1-1-1-1111111-1-11-1-1-1-111111-1-111-1-111-1-111-111-1-1-111-1
χ161111111111-1-1-1-111-1111-1-1-1-1-1111111-1-11-1-1-1-1111-1-1111111-1-111-1-1-111-1-11-1-11
χ1722222222222222222-2-22222222222-2-2-200-20000000000-2-200000000-200000000
χ1822222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-200-200000000002200000000200000000
χ19222222222222-2-2-2-2222-2-200000000-2-2-2002000000220000-2-200020-2000000000
χ20222222222222-2-2-2-2222-2-200000000-2-2-2002000000-2-2000022000-202000000000
χ21222222222222-2-2-2-22-2-2-2-20000000022200-200000000220000-2-2-2020000000000
χ22222222222222-2-2-2-22-2-2-2-20000000022200-200000000-2-200002220-20000000000
χ232222222222-2-222-2-2-222-2200000000-2-2200-200000022000022000-20-2000000000
χ242222222222-2-222-2-2-222-2200000000-2-2200-2000000-2-20000-2-2000202000000000
χ252222222222-2-222-2-2-2-2-2-220000000022-20020000000022000022-20-20000000000
χ262222222222-2-222-2-2-2-2-2-220000000022-200200000000-2-20000-2-22020000000000
χ272222222222-2-2-2-222-2-2-22-22222-2-2-2-2-2-2200200000000002200000000-200000000
χ282222222222-2-2-2-222-2-2-22-2-2-2-2-22222-2-220020000000000-2-200000000200000000
χ2922222-2-22-2-20000-2-202-22000002i2i−2i−2i2-200200002-2-200002i−2i0000000002i−2i000000
χ3022222-2-22-2-20000-2-202-22000002i2i−2i−2i2-200-20000-22200002i−2i000000000−2i2i000000
χ3122222-2-22-2-20000-2-202-2200000−2i−2i2i2i2-200200002-2-20000−2i2i000000000−2i2i000000
χ3222222-2-22-2-20000-2-202-2200000−2i−2i2i2i2-200-20000-2220000−2i2i0000000002i−2i000000
χ3322222-2-22-2-20000-2-20-222000002i2i−2i−2i-2202002-2-20000000−2i2i000000000002i−2i0000
χ3422222-2-22-2-20000-2-20-222000002i2i−2i−2i-220-200-2220000000−2i2i00000000000−2i2i0000
χ3522222-2-22-2-20000-2-20-22200000−2i−2i2i2i-2202002-2-200000002i−2i00000000000−2i2i0000
χ3622222-2-22-2-20000-2-20-22200000−2i−2i2i2i-220-200-22200000002i−2i000000000002i−2i0000
χ3744444-4-44-4-400004404-4-4000000000-44000000000000000000000000000000000
χ3844444-4-44-4-40000440-44-40000000004-4000000000000000000000000000000000
χ394444-44-4-44-40044000000-400000000000220-22-2-22-200000000000000000000000
χ404444-44-4-44-40044000000-400000000000-2-202-222-2200000000000000000000000
χ414444-44-4-44-400-4-40000004000000000002-20-22-22-2200000000000000000000000
χ424444-44-4-44-400-4-4000000400000000000-2202-22-22-200000000000000000000000
χ434444-4-44-4-44440000-4000000000000000220-2-22-2-2200000000000000000000000
χ444444-4-44-4-44440000-4000000000000000-2-2022-222-200000000000000000000000
χ454444-4-44-4-44-4-4000040000000000000002-20-2-2222-200000000000000000000000
χ464444-4-44-4-44-4-400004000000000000000-22022-2-2-2200000000000000000000000
χ4744-4-40400-40004-400000002i2i−2i−2i2i−2i2i−2i0000000000002i−2i2-2002i−2i2-20000000000000
χ4844-4-40400-40004-400000002i2i−2i−2i2i−2i2i−2i000000000000−2i2i-2200−2i2i-220000000000000
χ4944-4-40400-40004-40000000−2i−2i2i2i−2i2i−2i2i0000000000002i−2i-22002i−2i-220000000000000
χ5044-4-40400-40004-40000000−2i−2i2i2i−2i2i−2i2i000000000000−2i2i2-200−2i2i2-20000000000000
χ5144-4-40400-4000-4400000002i2i−2i−2i−2i2i−2i2i0000000000002i−2i2-200−2i2i-220000000000000
χ5244-4-40400-4000-4400000002i2i−2i−2i−2i2i−2i2i000000000000−2i2i-22002i−2i2-20000000000000
χ5344-4-40400-4000-440000000−2i−2i2i2i2i−2i2i−2i0000000000002i−2i-2200−2i2i2-20000000000000
χ5444-4-40400-4000-440000000−2i−2i2i2i2i−2i2i−2i000000000000−2i2i2-2002i−2i-220000000000000
χ5588-8-80-800800000000000000004-4-4400000000000000000000000000000000000
χ5688-8-80-80080000000000000000-444-400000000000000000000000000000000000
χ578-88-800800-8000000000004i−4i4i−4i000000000000000000000000000000000000000
χ588-88-800800-800000000000−4i4i−4i4i000000000000000000000000000000000000000
χ598-88-800-80088-80000000000000000000000000000000000000000000000000000
χ608-88-800-8008-880000000000000000000000000000000000000000000000000000
χ618-8-88800-80000008i−8i000000000000000000000000000000000000000000000000
χ628-8-88800-8000000−8i8i000000000000000000000000000000000000000000000000
χ638-8-88-800800000000000004-4-44000000000000000000000000000000000000000
χ648-8-88-80080000000000000-444-4000000000000000000000000000000000000000

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