Finite Group Databasebeta

← Group #72282409

Character table — Group #72282409

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size11112222222244444444444444488888816161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232
order1222222222442222222244444444444442222222244444444444488888888888888882444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ5111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ911111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-1111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-11-11-111-1-1
χ1011111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-1111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-11-1-111
χ1111111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-11-11-1111-1-1
χ1211111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-111-1-1-111
χ1311111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-11-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111-11-11-1-1-111
χ1411111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-111-1-1111-1-1
χ1511111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-11-1-111-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-1-111
χ1611111-1-1-1-11111-1-1-1-1111-1-111-1-11-111-1-11-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111-1-111-111-1-1
χ17222222222222222-2-2-2-2222-2-2-2-22-22-22-2-2000000000000000000002222-2-2-2-2000000000000000000
χ18222222222222222-2-2-2-2222-2-2-2-22-22-22-2-200000000000000000000-2-2-2-22222000000000000000000
χ19222222222222-2-2-22222-222-2-2-2-22-2-22-22-200002222000000000000000000000000000000-2-2000000
χ20222222222222-2-2-22222-222-2-2-2-22-2-22-22-20000-2-2-2-200000000000000000000000000000022000000
χ21222222222222-2-2-2-2-2-2-2-222222222-2-2-2-220000000000000000000000000000000000002200-2-20000
χ22222222222222-2-2-2-2-2-2-2-222222222-2-2-2-22000000000000000000000000000000000000-2-200220000
χ232222222222-2-222222222-2-22222-2-2-2-2-2-2-200000000000022-2-222-2-200000000000000000000000000
χ242222222222-2-222222222-2-22222-2-2-2-2-2-2-2000000000000-2-222-2-22200000000000000000000000000
χ252222222222-2-2222-2-2-2-22-2-2-2-2-2-2-22-22-222000000000000000000000000000022-2-222-2-20000000000
χ262222222222-2-2222-2-2-2-22-2-2-2-2-2-2-22-22-2220000000000000000000000000000-2-222-2-2220000000000
χ272222222222-2-2-2-2-22222-2-2-2-2-2-2-2-222-22-222-22-200002-22-20000000000000000000000000000000000
χ282222222222-2-2-2-2-22222-2-2-2-2-2-2-2-222-22-22-22-220000-22-220000000000000000000000000000000000
χ292222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-20000000000000000000000000000000000000000002i−2i2i−2i
χ302222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2000000000000000000000000000000000000000000−2i2i−2i2i
χ3122222-2-2-2-22222-2-222-2-22-2-2-2-222222-2-22-20000000000000000000022-2-2-2-222000000000000000000
χ3222222-2-2-2-22222-2-222-2-22-2-2-2-222222-2-22-200000000000000000000-2-22222-2-2000000000000000000
χ3322222-2-2-2-2222-22222-2-2-2-2-222-2-22-2-2-22220000000000000000000000000000000000002-200-220000
χ3422222-2-2-2-2222-22222-2-2-2-2-222-2-22-2-2-2222000000000000000000000000000000000000-22002-20000
χ3522222-2-2-2-2222-222-2-222-2-2-2-2-22222-222-2-2000022-2-2000000000000000000000000000000-22000000
χ3622222-2-2-2-2222-222-2-222-2-2-2-2-22222-222-2-20000-2-2220000000000000000000000000000002-2000000
χ3722222-2-2-2-22-2-22-2-222-2-2222-2-222-2-2-222-22000000000000000000000000000022-2-2-2-2220000000000
χ3822222-2-2-2-22-2-22-2-222-2-2222-2-222-2-2-222-220000000000000000000000000000-2-22222-2-20000000000
χ3922222-2-2-2-22-2-22-2-2-2-22222222-2-2-22-2-222-200000000000022-2-2-2-22200000000000000000000000000
χ4022222-2-2-2-22-2-22-2-2-2-22222222-2-2-22-2-222-2000000000000-2-22222-2-200000000000000000000000000
χ4122222-2-2-2-22-2-2-22222-2-2-22222-2-2-2222-2-2-20000000000000000000000000000000000000000002i−2i−2i2i
χ4222222-2-2-2-22-2-2-22222-2-2-22222-2-2-2222-2-2-2000000000000000000000000000000000000000000−2i2i2i−2i
χ4322222-2-2-2-22-2-2-222-2-222-222-2-222-2-22-2-2222-2-2200002-2-220000000000000000000000000000000000
χ4422222-2-2-2-22-2-2-222-2-222-222-2-222-2-22-2-222-222-20000-222-20000000000000000000000000000000000
χ452-2-22-222-2-2200-22-22-22-22002-22-20000000000000000000002-2002-22−22−22−22−22−22−22−22−20000000000
χ462-2-22-222-2-2200-22-22-22-22002-22-20000000000000000000002-2002-2−22−22−22−22−22−22−22−220000000000
χ472-2-22-222-2-2200-22-22-22-22002-22-2000000000000000000000-2200-222−22−22−22−2−22−22−22−220000000000
χ482-2-22-222-2-2200-22-22-22-22002-22-2000000000000000000000-2200-22−22−22−22−222−22−22−22−20000000000
χ492-2-22-222-2-2200-22-2-22-22200-22-2200000000000000000002-2002-2002−22−2−22−222−2−222−2−220000000000
χ502-2-22-222-2-2200-22-2-22-22200-22-2200000000000000000002-2002-200−22−222−22−2−222−2−222−20000000000
χ512-2-22-222-2-2200-22-2-22-22200-22-220000000000000000000-2200-22002−22−2−22−22−222−2−222−20000000000
χ522-2-22-222-2-2200-22-2-22-22200-22-220000000000000000000-2200-2200−22−222−22−22−2−222−2−220000000000
χ532-2-22-2-2-222200-2-222-2-22200-222-200000000000000000002-200-22002−2−22−222−22−2−22−222−20000000000
χ542-2-22-2-2-222200-2-222-2-22200-222-200000000000000000002-200-2200−222−22−2−22−222−22−2−220000000000
χ552-2-22-2-2-222200-2-222-2-22200-222-20000000000000000000-22002-2002−2−22−222−2−222−22−2−220000000000
χ562-2-22-2-2-222200-2-222-2-22200-222-20000000000000000000-22002-200−222−22−2−222−2−22−222−20000000000
χ572-2-22-2-2-222200-2-22-222-22002-2-220000000000000000000002-200-222−2−222−2−222−22−2−22−220000000000
χ582-2-22-2-2-222200-2-22-222-22002-2-220000000000000000000002-200-22−222−2−222−2−22−222−22−20000000000
χ592-2-22-2-2-222200-2-22-222-22002-2-22000000000000000000000-22002-22−2−222−2−22−22−222−22−20000000000
χ602-2-22-2-2-222200-2-22-222-22002-2-22000000000000000000000-22002-2−222−2−222−22−22−2−22−220000000000
χ614444-44-44-4-444000000004-40000-400000022220000-2-2-2-20000000000000000000000000000000000
χ624444-44-44-4-444000000004-40000-4000000-2-2-2-2000022220000000000000000000000000000000000
χ634444-44-44-4-4-4-400000000-44000040000002-22-20000-22-220000000000000000000000000000000000
χ644444-44-44-4-4-4-400000000-4400004000000-22-2200002-22-20000000000000000000000000000000000
χ654444-4-44-44-44400000000-440000-400000022-2-20000-2-2220000000000000000000000000000000000
χ664444-4-44-44-44400000000-440000-4000000-2-222000022-2-20000000000000000000000000000000000
χ674444-4-44-44-4-4-4000000004-4000040000002-2-220000-222-20000000000000000000000000000000000
χ684444-4-44-44-4-4-4000000004-400004000000-222-200002-2-220000000000000000000000000000000000
χ694-4-44-444-4-44004-444-44-4-400-44-4400000000000000000000000000000000000000000000000000000
χ704-4-44-444-4-44004-44-44-44-4004-44-400000000000000000000000000000000000000000000000000000
χ714-4-44-4-4-44440044-44-4-44-4004-4-4400000000000000000000000000000000000000000000000000000
χ724-4-44-4-4-44440044-4-444-4-400-444-400000000000000000000000000000000000000000000000000000
χ738-88-80000008-80000000000000000000000000004-400000000000000000000000000000000000000
χ748-88-80000008-8000000000000000000000000000-4400000000000000000000000000000000000000
χ758-88-8000000-8800000000000000000000000004-40000000000000000000000000000000000000000
χ768-88-8000000-880000000000000000000000000-440000000000000000000000000000000000000000
χ778-8-8888-8-88-8000000000000000000000000000000000000000000000000000000000000000000000
χ788-8-888-888-8-8000000000000000000000000000000000000000000000000000000000000000000000
χ791616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000

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