Finite Group Databasebeta

← Group #72262737

Character table — Group #72262737

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222444444444444448888888888888888888161616161616161616161616161616161616161616161616323232323264646464
order1222222222224444444444442444444444444444444222222244444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1111111111-1-1-1-111-1-111-1-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-1
χ91111111111-1-1-1-11111111111-11-11111-1-1-1-111111111-111-1-11-1-111-1-11-111-1-1-1-111-1-1-111-1-11-11-1
χ101111111111-1-1-1-11111111111-11-11111-1-1-1-111111111-111-1-1-11-1-1-111-1111-1-1-1-111-1-1-1-1-111-11-11
χ111111111111-1-1-1-11111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-11-1111111-1-111-111-1-1-11-11
χ121111111111-1-1-1-11111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-111-11111111-1-111-1-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111111111-1-1-1-11111-111111-1-111-1-11-1-1-111-1-1-1-1-1-11-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111111111-1-1-1-11111-11111-11-1-1-111-11-1-111-1-1-1-1-1-1111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1111111111111-1-1-1-1-11-1-111-1-11-1-1-1-1-11111111-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-111-11-1-1-1-1111111111-1-11-1-11
χ17222222222222222222222222222000022220000-2-2-2-2-2000000-2000000-2-200000000-200000000
χ1822222222222222-2-2-2-2-2-2-2-2222220000-2-2-2-20000-2-2-2-2-2000000-20000002200000000200000000
χ19222222222222-2-200000000-2-22-2-2000000002222-2-2222002200-200000000-2-200-2-200000000000
χ20222222222222-2-200000000-2-22-2-200000000-2-2-2-2-2-222200-2-200-20000000022002200000000000
χ21222222222222-2-200000000-2-22-2-222220000000022-2-2-2-2-20000200000000002200-2-2000000000
χ22222222222222-2-200000000-2-22-2-2-2-2-2-20000000022-2-2-222000020000000000-2-20022000000000
χ232222222222-2-22200000000-2-2-2-22000000002222-2-222-200-2-2002000000002200-2-200000000000
χ242222222222-2-22200000000-2-2-2-2200000000-2-2-2-2-2-222-2002200200000000-2-2002200000000000
χ252222222222-2-22200000000-2-2-2-2222220000000022-2-22-2-20000-20000000000-2-20022000000000
χ262222222222-2-22200000000-2-2-2-22-2-2-2-20000000022-2-22220000-200000000002200-2-2000000000
χ272222222222-2-2-2-22222222222-22-20000-2-2-2-20000-2-2-2-220000002000000-2-200000000200000000
χ282222222222-2-2-2-2-2-2-2-2-2-2-2-222-22-2000022220000-2-2-2-2200000020000002200000000-200000000
χ2922222-2-22-2-200002i2i2i2i−2i−2i−2i−2i-2-20200000000000002-22-200000020002-20-22i−2i000000000002i−2i0000
χ3022222-2-22-2-200002i2i2i2i−2i−2i−2i−2i-2-20200000000000002-22-2000000-2000-22022i−2i00000000000−2i2i0000
χ3122222-2-22-2-200002i2i2i2i−2i−2i−2i−2i-2-2020000000000000-22-22000002002-200-20−2i2i0000000002i−2i000000
χ3222222-2-22-2-200002i2i2i2i−2i−2i−2i−2i-2-2020000000000000-22-2200000-200-220020−2i2i000000000−2i2i000000
χ3322222-2-22-2-20000−2i−2i−2i−2i2i2i2i2i-2-20200000000000002-22-200000020002-20-2−2i2i00000000000−2i2i0000
χ3422222-2-22-2-20000−2i−2i−2i−2i2i2i2i2i-2-20200000000000002-22-2000000-2000-2202−2i2i000000000002i−2i0000
χ3522222-2-22-2-20000−2i−2i−2i−2i2i2i2i2i-2-2020000000000000-22-22000002002-200-202i−2i000000000−2i2i000000
χ3622222-2-22-2-20000−2i−2i−2i−2i2i2i2i2i-2-2020000000000000-22-2200000-200-2200202i−2i0000000002i−2i000000
χ3744444-4-44-4-4000000000000440-400000000000004-4-44000000000000000000000000000000000
χ3844444-4-44-4-4000000000000440-40000000000000-444-4000000000000000000000000000000000
χ394444-44-4-4-4444000000000000-400000000000000000000000220-2-2-2-2220000000000000000000
χ404444-44-4-4-4444000000000000-400000000000000000000000-2-202222-2-20000000000000000000
χ414444-44-4-4-44-4-40000000000004000000000000000000000002-20-2-2222-20000000000000000000
χ424444-44-4-4-44-4-4000000000000400000000000000000000000-22022-2-2-220000000000000000000
χ434444-4-44-44-40044000000000000-40000000000000000000002-20-222-2-220000000000000000000
χ444444-4-44-44-40044000000000000-4000000000000000000000-2202-2-222-20000000000000000000
χ454444-4-44-44-400-4-40000000000004000000000000000000000220-22-22-2-20000000000000000000
χ464444-4-44-44-400-4-40000000000004000000000000000000000-2-202-22-2220000000000000000000
χ4744-4-40040-40004i−4i2i2i−2i−2i2i2i−2i−2i000002i2i−2i−2i22-2-222-2-2000000000000000000002i−2i00002-2000000000
χ4844-4-40040-40004i−4i2i2i−2i−2i2i2i−2i−2i00000−2i−2i2i2i22-2-2-2-22200000000000000000000−2i2i0000-22000000000
χ4944-4-40040-40004i−4i−2i−2i2i2i−2i−2i2i2i000002i2i−2i−2i-2-222-2-22200000000000000000000−2i2i00002-2000000000
χ5044-4-40040-40004i−4i−2i−2i2i2i−2i−2i2i2i00000−2i−2i2i2i-2-22222-2-2000000000000000000002i−2i0000-22000000000
χ5144-4-40040-4000−4i4i2i2i−2i−2i2i2i−2i−2i000002i2i−2i−2i-2-22222-2-200000000000000000000−2i2i0000-22000000000
χ5244-4-40040-4000−4i4i2i2i−2i−2i2i2i−2i−2i00000−2i−2i2i2i-2-222-2-222000000000000000000002i−2i00002-2000000000
χ5344-4-40040-4000−4i4i−2i−2i2i2i−2i−2i2i2i000002i2i−2i−2i22-2-2-2-222000000000000000000002i−2i0000-22000000000
χ5444-4-40040-4000−4i4i−2i−2i2i2i−2i−2i2i2i00000−2i−2i2i2i22-2-222-2-200000000000000000000−2i2i00002-2000000000
χ554-44-4400-40000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i4i−4i0002i−2i2i−2i00002-22-2000002-2000000000000000002i−2i00000000000
χ564-44-4400-40000002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i4i−4i000−2i2i−2i2i0000-22-2200000-2200000000000000000−2i2i00000000000
χ574-44-4400-40000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i−4i4i0002i−2i2i−2i0000-22-2200000-22000000000000000002i−2i00000000000
χ584-44-4400-40000002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i−4i4i000−2i2i−2i2i00002-22-2000002-200000000000000000−2i2i00000000000
χ594-44-4400-4000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i−4i4i0002i−2i2i−2i00002-22-200000-2200000000000000000−2i2i00000000000
χ604-44-4400-4000000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i−4i4i000−2i2i−2i2i0000-22-22000002-2000000000000000002i−2i00000000000
χ614-44-4400-4000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i4i−4i0002i−2i2i−2i0000-22-22000002-200000000000000000−2i2i00000000000
χ624-44-4400-4000000−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i4i−4i000−2i2i−2i2i00002-22-200000-22000000000000000002i−2i00000000000
χ634-4-440-400044-4002-2-22-222-2000002-2-222-22-22-2-2200000002-200000000000002-20000000000000
χ644-4-440-400044-4002-2-22-222-200000-222-22-22-2-222-20000000-220000000000000-220000000000000
χ654-4-440-400044-400-222-22-2-22000002-2-22-22-22-222-20000000-2200000000000002-20000000000000
χ664-4-440-400044-400-222-22-2-2200000-222-2-22-222-2-2200000002-20000000000000-220000000000000
χ674-4-440-40004-44002-2-22-222-2000002-2-22-22-222-2-220000000-220000000000000-220000000000000
χ684-4-440-40004-44002-2-22-222-200000-222-2-22-22-222-200000002-200000000000002-20000000000000
χ694-4-440-40004-4400-222-22-2-22000002-2-222-22-2-222-200000002-20000000000000-220000000000000
χ704-4-440-40004-4400-222-22-2-2200000-222-22-22-22-2-220000000-2200000000000002-20000000000000
χ7188-8-800-8080000044-4-4-4-444000000000000000000000000000000000000000000000000000000
χ7288-8-800-80800000-4-44444-4-4000000000000000000000000000000000000000000000000000000
χ738-88-8-8008000000000000000000000004-4-4400000000000000000000000000000000000000000
χ748-88-8-800800000000000000000000000-444-400000000000000000000000000000000000000000
χ758-8-8808000-800004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000
χ768-8-8808000-80000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000

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