Finite Group Databasebeta

← Group #72250607

Character table — Group #72250607

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222244444444444444448888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order12222244442222224444448888888888444488888888888816161616161616161616161616161616222444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111
χ9111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-1
χ10111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-1
χ11111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111
χ12111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-1-1-111
χ13111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-1-111
χ14111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-111
χ15111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-111-1-1
χ16111111111111-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-1111-1-1
χ172222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ19222222222222-2-2-2-22-2-2-2-222222-2-222-2-222-2-2-2-222000000000000000000000000000000000000
χ20222222222222-2-2-2-22-2-2-2-222222-2-222-2-2-2-22222-2-2000000000000000000000000000000000000
χ212222222222-2-222-2-2-222-2-2-222222-2-2-22-2000000000000000000000000000000002200-2-2000000
χ222222222222-2-222-2-2-222-2-2-222222-2-2-22-200000000000000000000000000000000-2-20022000000
χ232222222222-2-222-2-2-222-2-2-2-2-2-2-2-2222-2200000000000000000000000000000000002-200-220000
χ242222222222-2-222-2-2-222-2-2-2-2-2-2-2-2222-220000000000000000000000000000000000-22002-20000
χ252222222222-2-2-2-222-2-2-222-22222-22-2-2-2200000000000000000000000000000000002200-2-20000
χ262222222222-2-2-2-222-2-2-222-22222-22-2-2-220000000000000000000000000000000000-2-200220000
χ272222222222-2-2-2-222-2-2-222-2-2-2-2-22-2222-2000000000000000000000000000000002-200-22000000
χ282222222222-2-2-2-222-2-2-222-2-2-2-2-22-2222-200000000000000000000000000000000-22002-2000000
χ29222222-2-2-2-22222-2-2-2-2-222-200000000002-22-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ30222222-2-2-2-22222-2-2-2-2-222-200000000002-22-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ31222222-2-2-2-22222-2-2-2-2-222-20000000000-22-22000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ32222222-2-2-2-22222-2-2-2-2-222-20000000000-22-22000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ33222222-2-2-2-222-2-222-222-2-2-200000000002-2-22000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ34222222-2-2-2-222-2-222-222-2-2-200000000002-2-22000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ35222222-2-2-2-222-2-222-222-2-2-20000000000-222-2000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ36222222-2-2-2-222-2-222-222-2-2-20000000000-222-2000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ372-2-22-2222-2-22-22-22-222-22-2-2000000000000002-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-2-22-2222-2-22-22-22-222-22-2-2000000000000002-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ392-2-22-2222-2-22-22-22-222-22-2-200000000000000-22-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-2-22-2222-2-22-22-22-222-22-2-200000000000000-22-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ412-2-22-2222-2-22-2-22-222-22-22-2000000000000002-2-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ422-2-22-2222-2-22-2-22-222-22-22-2000000000000002-2-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ432-2-22-2222-2-22-2-22-222-22-22-200000000000000-222-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ442-2-22-2222-2-22-2-22-222-22-22-200000000000000-222-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ452-2-22-22-2-2222-22-2-22-2-222-2222-2-22-22-2-220000000000000000000000002-2-222-2-22000000000000
χ462-2-22-22-2-2222-22-2-22-2-222-2222-2-22-22-2-22000000000000000000000000-222-2-222-2000000000000
χ472-2-22-22-2-2222-22-2-22-2-222-22-2-222-22-222-200000000000000002-2-222-2-2200000000000000000000
χ482-2-22-22-2-2222-22-2-22-2-222-22-2-222-22-222-20000000000000000-222-2-222-200000000000000000000
χ492-2-22-22-2-2222-2-222-2-22-2-22222-2-2-222-22-200000000000000002-2-22-222-200000000000000000000
χ502-2-22-22-2-2222-2-222-2-22-2-22222-2-2-222-22-20000000000000000-222-22-2-2200000000000000000000
χ512-2-22-22-2-2222-2-222-2-22-2-222-2-2222-2-22-220000000000000000000000002-2-22-222-2000000000000
χ522-2-22-22-2-2222-2-222-2-22-2-222-2-2222-2-22-22000000000000000000000000-222-22-2-22000000000000
χ532-2-22-22-2-222-222-22-22-22-22-222-2-222-22-2-200000000000000000000000000000000000000002i−2i2i−2i
χ542-2-22-22-2-222-222-22-22-22-22-222-2-222-22-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ552-2-22-22-2-222-222-22-22-22-22-2-2-222-2-22-2220000000022-2-222-2-20000000000000000000000000000
χ562-2-22-22-2-222-222-22-22-22-22-2-2-222-2-22-22200000000-2-222-2-2220000000000000000000000000000
χ572-2-22-22-2-222-22-22-2222-22-2-222-2-2-2-2-22220000000022-2-2-2-2220000000000000000000000000000
χ582-2-22-22-2-222-22-22-2222-22-2-222-2-2-2-2-222200000000-2-22222-2-20000000000000000000000000000
χ592-2-22-22-2-222-22-22-2222-22-2-2-2-222222-2-2-200000000000000000000000000000000000000002i−2i−2i2i
χ602-2-22-22-2-222-22-22-2222-22-2-2-2-222222-2-2-20000000000000000000000000000000000000000−2i2i2i−2i
χ61444444-4-4-4-4-4-444444-4-4-4-44000000000000000000000000000000000000000000000000000000
χ62444444-4-4-4-4-4-4-4-4-4-4444444000000000000000000000000000000000000000000000000000000
χ634444-4-44-44-40000000000004-44-4000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ644444-4-44-44-40000000000004-44-400000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ654444-4-44-44-4000000000000-44-44000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ664444-4-44-44-4000000000000-44-4400000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ674-4-444-4-444-40000000000004-4-44000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ684-4-444-4-444-40000000000004-4-4400000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ694-4-444-4-444-4000000000000-444-4000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ704-4-444-4-444-4000000000000-444-400000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ714-4-44-4444-4-4-444-4-44-44-4-444000000000000000000000000000000000000000000000000000000
χ724-4-44-4444-4-4-44-444-4-4-444-44000000000000000000000000000000000000000000000000000000
χ738888-8-8-88-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-888-88-8-88000000000000000000000000000000000000000000000000000000000000000000
χ751616-16-16000000000000000000000000000000000000000000000000000000000000000000000000
χ7616-1616-16000000000000000000000000000000000000000000000000000000000000000000000000

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