Finite Group Databasebeta

← Group #72266437

Character table — Group #72266437

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size1111222222444444444444448888888888888888888161616161616161616161616161616161616161616161616323232323264646464
order1222222222222222444444442222222224444444444224444444444444444444444444444488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111111-1-1111111-1-1-1-11111111-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111-111-1-11-11-1
χ101111111111-1-1-1-111111111111-1-1111111-1-1-1-1111111-11-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-111-11-11
χ111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11-11111111111-1-1-111-1-1-11-11
χ121111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-111111111111-1-1-1-1-1111-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1111-1-1-111-1-1-1-11-1-1-1-1-11111-1-1111-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-111-11-1-1-1-111-1-1-11-1-1-1-11111-1-111111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111111-1-1-111-1-1111-11111-1-1-1-1-1-1-1-11-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-11-1-1-1-11111-111111-1-1-1-1-1-1-1-1111-1-11-1-11
χ172222222222222222222222222220000-2-222220000-2-200-2-20000000000000000-2-200-200000000
χ182222222222222222-2-2-2-2-2-2-2-22220000-2-2-2-2-2-20000-2-200-2-200000000000000002200200000000
χ19222222222222-2-2-2-200000000-22-20000-2-20000222222002-20000-2-200000022-2-20000000000000
χ20222222222222-2-2-2-200000000-22-20000-2-20000-2-2-2-222002-2000022000000-2-2220000000000000
χ21222222222222-2-2-2-200000000-22-222222200000000-2-200-220000000022-2-2000000-2-2000000000
χ22222222222222-2-2-2-200000000-22-2-2-2-2-22200000000-2-200-2200000000-2-22200000022000000000
χ232222222222-2-222-2-200000000-2-220000-2-2000022222200-220000-2-2000000-2-2220000000000000
χ242222222222-2-222-2-200000000-2-220000-2-20000-2-2-2-22200-2200002200000022-2-20000000000000
χ252222222222-2-222-2-200000000-2-2222222200000000-2-2002-200000000-2-222000000-2-2000000000
χ262222222222-2-222-2-200000000-2-22-2-2-2-22200000000-2-2002-20000000022-2-200000022000000000
χ272222222222-2-2-2-222222222222-2-20000-2-2-2-2-2-20000-2-200220000000000000000-2-200200000000
χ282222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-20000-2-222220000-2-2002200000000000000002200-200000000
χ2922222-2-2-2-220000222222-2-2-2-2-20000002-2000000002-2020000-2-20002000000002-2000002-20000
χ3022222-2-2-2-220000222222-2-2-2-2-20000002-2000000002-20-2000022000-2000000002-200000-220000
χ3122222-2-2-2-220000222222-2-2-2-2-2000000-2200000000-222000-2-200002000000000-220002-2000000
χ3222222-2-2-2-220000222222-2-2-2-2-2000000-2200000000-22-2000220000-2000000000-22000-22000000
χ3322222-2-2-2-22000022-2-2-2-22222-20000002-2000000002-2020000-2-2000200000000-2200000-220000
χ3422222-2-2-2-22000022-2-2-2-22222-20000002-2000000002-20-2000022000-200000000-22000002-20000
χ3522222-2-2-2-22000022-2-2-2-22222-2000000-2200000000-222000-2-2000020000000002-2000-22000000
χ3622222-2-2-2-22000022-2-2-2-22222-2000000-2200000000-22-2000220000-20000000002-20002-2000000
χ3744444-4-4-4-440000-4-40000000040000004-400000000-44000000000000000000000000000000000
χ3844444-4-4-4-440000-4-4000000004000000-44000000004-4000000000000000000000000000000000
χ394444-444-4-4-40044000000000000-4000000000000000022002-22-200-2-2000000000000000000000
χ404444-444-4-4-40044000000000000-40000000000000000-2-200-22-220022000000000000000000000
χ414444-444-4-4-400-4-4000000000000400000000000000002-2002-2-2200-22000000000000000000000
χ424444-444-4-4-400-4-400000000000040000000000000000-2200-222-2002-2000000000000000000000
χ434444-4-4-444-4440000000000000-4000000000000000002200-22-2200-2-2000000000000000000000
χ444444-4-4-444-4440000000000000-400000000000000000-2-2002-22-20022000000000000000000000
χ454444-4-4-444-4-4-400000000000004000000000000000002-200-222-200-22000000000000000000000
χ464444-4-4-444-4-4-40000000000000400000000000000000-22002-2-22002-2000000000000000000000
χ4744-4-40004-404-400002i2i−2i−2i2i2i−2i−2i00022-2-2002i2i−2i−2i2i2i−2i−2i000000000000002-2002i−2i000000000000000
χ4844-4-40004-404-400002i2i−2i−2i2i2i−2i−2i000-2-222002i2i−2i−2i−2i−2i2i2i00000000000000-2200−2i2i000000000000000
χ4944-4-40004-404-40000−2i−2i2i2i−2i−2i2i2i00022-2-200−2i−2i2i2i−2i−2i2i2i000000000000002-200−2i2i000000000000000
χ5044-4-40004-404-40000−2i−2i2i2i−2i−2i2i2i000-2-22200−2i−2i2i2i2i2i−2i−2i00000000000000-22002i−2i000000000000000
χ5144-4-40004-40-4400002i2i−2i−2i2i2i−2i−2i00022-2-200−2i−2i2i2i2i2i−2i−2i00000000000000-2200−2i2i000000000000000
χ5244-4-40004-40-4400002i2i−2i−2i2i2i−2i−2i000-2-22200−2i−2i2i2i−2i−2i2i2i000000000000002-2002i−2i000000000000000
χ5344-4-40004-40-440000−2i−2i2i2i−2i−2i2i2i00022-2-2002i2i−2i−2i−2i−2i2i2i00000000000000-22002i−2i000000000000000
χ5444-4-40004-40-440000−2i−2i2i2i−2i−2i2i2i000-2-222002i2i−2i−2i2i2i−2i−2i000000000000002-200−2i2i000000000000000
χ554-44-404-4000004-4002i−2i2i−2i2i−2i2i−2i0002-22-2002i−2i2i−2i2i−2i2i−2i00000000000000002-2002i−2i0000000000000
χ564-44-404-4000004-4002i−2i2i−2i2i−2i2i−2i000-22-22002i−2i2i−2i−2i2i−2i2i0000000000000000-2200−2i2i0000000000000
χ574-44-404-4000004-400−2i2i−2i2i−2i2i−2i2i0002-22-200−2i2i−2i2i−2i2i−2i2i00000000000000002-200−2i2i0000000000000
χ584-44-404-4000004-400−2i2i−2i2i−2i2i−2i2i000-22-2200−2i2i−2i2i2i−2i2i−2i0000000000000000-22002i−2i0000000000000
χ594-44-404-400000-44002i−2i2i−2i2i−2i2i−2i0002-22-200−2i2i−2i2i2i−2i2i−2i0000000000000000-2200−2i2i0000000000000
χ604-44-404-400000-44002i−2i2i−2i2i−2i2i−2i000-22-2200−2i2i−2i2i−2i2i−2i2i00000000000000002-2002i−2i0000000000000
χ614-44-404-400000-4400−2i2i−2i2i−2i2i−2i2i0002-22-2002i−2i2i−2i−2i2i−2i2i0000000000000000-22002i−2i0000000000000
χ624-44-404-400000-4400−2i2i−2i2i−2i2i−2i2i000-22-22002i−2i2i−2i2i−2i2i−2i00000000000000002-200−2i2i0000000000000
χ634-4-44-40000400004-400004-4-440002-2-220000002-2-2200000000002-20000000000002-2000000000
χ644-4-44-40000400004-400004-4-44000-222-2000000-222-20000000000-22000000000000-22000000000
χ654-4-44-40000400004-40000-444-40002-2-22000000-222-20000000000-220000000000002-2000000000
χ664-4-44-40000400004-40000-444-4000-222-20000002-2-2200000000002-2000000000000-22000000000
χ674-4-44-4000040000-444-4-4400000002-2-220000002-2-220000000000-22000000000000-22000000000
χ684-4-44-4000040000-444-4-440000000-222-2000000-222-200000000002-20000000000002-2000000000
χ694-4-44-4000040000-44-444-400000002-2-22000000-222-200000000002-2000000000000-22000000000
χ704-4-44-4000040000-44-444-40000000-222-20000002-2-220000000000-220000000000002-2000000000
χ7188-8-8000-8800000004i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000
χ7288-8-8000-880000000−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000
χ738-88-80-880000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ748-88-80-88000000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ758-8-8880000-8000000000000000000000004-4-44000000000000000000000000000000000000000
χ768-8-8880000-800000000000000000000000-444-4000000000000000000000000000000000000000

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