Finite Group Databasebeta

← Group #72251429

Character table — Group #72251429

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size1111111122224444444444448888888888888888888888888888161616161616161616161616161632323232323232323232323232323232
order1222222222222222222222222222222222222222444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ12111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ14111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222-2-2-2-22222000000000000-2-2-2-200000000000000000022-2-22-200000000000000
χ1822222222222222-2-2-2-222-2-2-2-22222000000000000-2-2-2-2000000000000000000-2-222-2200000000000000
χ1922222222222222-2-2-2-222-2-2-2-2-2-2-2-2000000000000222200000000000000000022-2-2-2200000000000000
χ2022222222222222-2-2-2-222-2-2-2-2-2-2-2-20000000000002222000000000000000000-2-2222-200000000000000
χ21222222222222-2-222-2-2-2-222-2-222-2-200000000000022-2-2000000000022-2-222-2-200000000000000000000
χ22222222222222-2-222-2-2-2-222-2-222-2-200000000000022-2-20000000000-2-222-2-22200000000000000000000
χ23222222222222-2-222-2-2-2-222-2-2-2-222000000000000-2-222000000000022-2-2-2-22200000000000000000000
χ24222222222222-2-222-2-2-2-222-2-2-2-222000000000000-2-2220000000000-2-22222-2-200000000000000000000
χ25222222222222-2-2-2-222-2-2-2-22222-2-2000000002222-2-22200000000-2-2000000000000002-2000000000000
χ26222222222222-2-2-2-222-2-2-2-22222-2-200000000-2-2-2-2-2-222000000002200000000000000-22000000000000
χ27222222222222-2-2-2-222-2-2-2-222-2-22200000000222222-2-200000000-2-200000000000000-22000000000000
χ28222222222222-2-2-2-222-2-2-2-222-2-22200000000-2-2-2-222-2-20000000022000000000000002-2000000000000
χ2922222222-2-2-2-2222-22-2-2-22-22-2000000002222000000000000-2-2-2-200000000002i−2i2i−2i0000000000002i−2i00
χ3022222222-2-2-2-2222-22-2-2-22-22-2000000002222000000000000-2-2-2-20000000000−2i2i−2i2i000000000000−2i2i00
χ3122222222-2-2-2-2222-22-2-2-22-22-200000000-2-2-2-2000000000000222200000000002i−2i2i−2i000000000000−2i2i00
χ3222222222-2-2-2-2222-22-2-2-22-22-200000000-2-2-2-200000000000022220000000000−2i2i−2i2i0000000000002i−2i00
χ3322222222-2-2-2-222-22-22-2-2-22-2200002222000000000000-2-2-2-2000000000000002i−2i−2i2i000000000000002i−2i
χ3422222222-2-2-2-222-22-22-2-2-22-2200002222000000000000-2-2-2-200000000000000−2i2i2i−2i00000000000000−2i2i
χ3522222222-2-2-2-222-22-22-2-2-22-220000-2-2-2-20000000000002222000000000000002i−2i−2i2i00000000000000−2i2i
χ3622222222-2-2-2-222-22-22-2-2-22-220000-2-2-2-2000000000000222200000000000000−2i2i2i−2i000000000000002i−2i
χ3722-2-22-2-2222-2-22-2222-22-2-2-2-22000022-2-200000000000022-2-200000000002i−2i2i−2i000000000000002i−2i0000
χ3822-2-22-2-2222-2-22-2222-22-2-2-2-22000022-2-200000000000022-2-20000000000−2i2i−2i2i00000000000000−2i2i0000
χ3922-2-22-2-2222-2-22-2222-22-2-2-2-220000-2-222000000000000-2-22200000000002i−2i2i−2i00000000000000−2i2i0000
χ4022-2-22-2-2222-2-22-2222-22-2-2-2-220000-2-222000000000000-2-2220000000000−2i2i−2i2i000000000000002i−2i0000
χ4122-2-22-2-2222-2-2-2222-22-22-2-22-20000000022-2-200000000000022-2-20000002i−2i−2i2i0000000000002i−2i000000
χ4222-2-22-2-2222-2-2-2222-22-22-2-22-20000000022-2-200000000000022-2-2000000−2i2i2i−2i000000000000−2i2i000000
χ4322-2-22-2-2222-2-2-2222-22-22-2-22-200000000-2-222000000000000-2-2220000002i−2i−2i2i000000000000−2i2i000000
χ4422-2-22-2-2222-2-2-2222-22-22-2-22-200000000-2-222000000000000-2-222000000−2i2i2i−2i0000000000002i−2i000000
χ4522-2-22-2-22-2-2222-2-22-2-2-222-222000022-2-2000022-2-20000-2-22200002-200000000000000002-20000000000
χ4622-2-22-2-22-2-2222-2-22-2-2-222-222000022-2-20000-2-2220000-2-2220000-220000000000000000-220000000000
χ4722-2-22-2-22-2-2222-2-22-2-2-222-2220000-2-222000022-2-2000022-2-200002-20000000000000000-220000000000
χ4822-2-22-2-22-2-2222-2-22-2-2-222-2220000-2-2220000-2-222000022-2-20000-2200000000000000002-20000000000
χ4922-2-22-2-22-2-222-222-2-2-22-2-22220000000022-2-222-2-200000000-2-222-220000000000000000002-200000000
χ5022-2-22-2-22-2-222-222-2-2-22-2-22220000000022-2-2-2-22200000000-2-2222-2000000000000000000-2200000000
χ5122-2-22-2-22-2-222-222-2-2-22-2-222200000000-2-22222-2-20000000022-2-2-22000000000000000000-2200000000
χ5222-2-22-2-22-2-222-222-2-2-22-2-222200000000-2-222-2-2220000000022-2-22-20000000000000000002-200000000
χ5344444444-4-4-4-4-4-44-4-44444-4-440000000000000000000000000000000000000000000000000000000000
χ5444444444-4-4-4-4-4-4-444-444-444-40000000000000000000000000000000000000000000000000000000000
χ5544-4-44-4-4444-4-44-4-4-4-444-4444-40000000000000000000000000000000000000000000000000000000000
χ5644-4-44-4-4444-4-4-44-4-44-4-4444-440000000000000000000000000000000000000000000000000000000000
χ5744-4-44-4-44-4-4444-44-444-44-44-4-40000000000000000000000000000000000000000000000000000000000
χ5844-4-44-4-44-4-444-44-44444-44-4-4-40000000000000000000000000000000000000000000000000000000000
χ594-44-4-44-444-44-400000000000000002-22-22-22-20000004-42-22-22-22-2000000000000000000000000000000
χ604-44-4-44-444-44-400000000000000002-22-2-22-22000000-442-22-2-22-22000000000000000000000000000000
χ614-44-4-44-444-44-40000000000000000-22-222-22-2000000-44-22-222-22-2000000000000000000000000000000
χ624-44-4-44-444-44-40000000000000000-22-22-22-220000004-4-22-22-22-22000000000000000000000000000000
χ634-44-4-44-44-44-4400000000000000002-22-22-22-200004-400-22-22-22-22000000000000000000000000000000
χ644-44-4-44-44-44-4400000000000000002-22-2-22-220000-4400-22-222-22-2000000000000000000000000000000
χ654-44-4-44-44-44-440000000000000000-22-222-22-20000-44002-22-2-22-22000000000000000000000000000000
χ664-44-4-44-44-44-440000000000000000-22-22-22-2200004-4002-22-22-22-2000000000000000000000000000000
χ674-4-44-4-4444-4-44000000000000004-42-2-222-2-22000000002-2-222-2-22000000000000000000000000000000
χ684-4-44-4-4444-4-44000000000000004-4-222-2-222-200000000-222-2-222-2000000000000000000000000000000
χ694-4-44-4-4444-4-4400000000000000-442-2-22-222-2000000002-2-22-222-2000000000000000000000000000000
χ704-4-44-4-4444-4-4400000000000000-44-222-22-2-2200000000-222-22-2-22000000000000000000000000000000
χ714-4-44-4-444-444-40000000000004-4002-2-222-2-2200000000-222-2-222-2000000000000000000000000000000
χ724-4-44-4-444-444-40000000000004-400-222-2-222-2000000002-2-222-2-22000000000000000000000000000000
χ734-4-44-4-444-444-4000000000000-44002-2-22-222-200000000-222-22-2-22000000000000000000000000000000
χ744-4-44-4-444-444-4000000000000-4400-222-22-2-22000000002-2-22-222-2000000000000000000000000000000
χ758888-8-8-8-800000000000000000000000000000000000000000000004i−4i00000000000000000000000000
χ768888-8-8-8-80000000000000000000000000000000000000000000000−4i4i00000000000000000000000000
χ7788-8-8-888-80000000000000000000000000000000000000000000000004-4000000000000000000000000
χ7888-8-8-888-8000000000000000000000000000000000000000000000000-44000000000000000000000000
χ798-88-88-88-800000000000000000000000000004-44-4000000000000000000000000000000000000000000
χ808-88-88-88-80000000000000000000000000000-44-44000000000000000000000000000000000000000000
χ818-8-8888-8-800000000000000000000000000004-4-44000000000000000000000000000000000000000000
χ828-8-8888-8-80000000000000000000000000000-444-4000000000000000000000000000000000000000000

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