Finite Group Databasebeta

← Group #72240216

Character table — Group #72240216

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222222224444444444888888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222444444444444442244444422222222444444444444444488888888444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ611111111111111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1111-1111-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-11-1111-1-1-11-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ11111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1111-1111-11-1-1-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1111-11-1-1-11-1-11111-1-1-1-1111111-1-111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1111-1-1-11-1111-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1111-11-1-1-1111-111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-1-11-1-1-1111-11-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1722222222222222-2-2-2-2-222-2-2-222-2-222-2-20000000000000000000022-2-200000000002-200000000
χ1822222222222222-2-2-2-2-222-2-2-222-2-222-2-200000000000000000000-2-2220000000000-2200000000
χ1922222222222222-2-2-2-2-222-2-2-2-2-222-2-2220000000000000000000022-2-20000000000-2200000000
χ2022222222222222-2-2-2-2-222-2-2-2-2-222-2-22200000000000000000000-2-22200000000002-200000000
χ212222222222-2-2-2-2222-2-2-2-2-2-222222-2-2-2-222-2-2000000-2-200220000000000000000000000000000
χ222222222222-2-2-2-2222-2-2-2-2-2-222222-2-2-2-2-2-2220000002200-2-20000000000000000000000000000
χ232222222222-2-2-2-2222-2-2-2-2-2-22-2-2-2-222222222000000-2-200-2-20000000000000000000000000000
χ242222222222-2-2-2-2222-2-2-2-2-2-22-2-2-2-22222-2-2-2-20000002200220000000000000000000000000000
χ252222222222-2-2-2-2-2-2-222-2-222-222-2-2-2-222000000220000000000-2-20000000000002-20000000000
χ262222222222-2-2-2-2-2-2-222-2-222-222-2-2-2-222000000-2-2000000000022000000000000-220000000000
χ272222222222-2-2-2-2-2-2-222-2-222-2-2-22222-2-2000000220000000000-2-2000000000000-220000000000
χ282222222222-2-2-2-2-2-2-222-2-222-2-2-22222-2-2000000-2-20000000000220000000000002-20000000000
χ2922222-2-2-2-2222-2-22-2-22-22-22-22000000002-20002000-22-202000-2000000000022-2-2000000000000
χ3022222-2-2-2-2222-2-22-2-22-22-22-22000000002-2000-200022-20-200020000000000-2-222000000000000
χ3122222-2-2-2-2222-2-22-2-22-22-22-2200000000-220002000-2-2202000-20000000000-2-222000000000000
χ3222222-2-2-2-2222-2-22-2-22-22-22-2200000000-22000-20002-220-20002000000000022-2-2000000000000
χ3322222-2-2-2-22-2-2222-2-2-22-22-222000000002-2002000-20-222000-2000000022-2-20000000000000000
χ3422222-2-2-2-22-2-2222-2-2-22-22-222000000002-200-200020-22-200020000000-2-2220000000000000000
χ3522222-2-2-2-22-2-2222-2-2-22-22-22200000000-22002000-202-22000-20000000-2-2220000000000000000
χ3622222-2-2-2-22-2-2222-2-2-22-22-22200000000-2200-2000202-2-20002000000022-2-20000000000000000
χ372222-222-2-2-2222222-2-2-2-2-222-22-22-22-22-200000000000000000000000000000000000000002-22-2
χ382222-222-2-2-2222222-2-2-2-2-222-22-22-22-22-20000000000000000000000000000000000000000-22-22
χ392222-222-2-2-2222222-2-2-2-2-222-2-22-22-22-2200000000000000000000000000000000000000002-2-22
χ402222-222-2-2-2222222-2-2-2-2-222-2-22-22-22-220000000000000000000000000000000000000000-222-2
χ412222-222-2-2-22222-2-2222-2-2-2-222-2-222-2-220000000000000000000000002-22-22-22-2000000000000
χ422222-222-2-2-22222-2-2222-2-2-2-222-2-222-2-22000000000000000000000000-22-22-22-22000000000000
χ432222-222-2-2-22222-2-2222-2-2-2-22-222-2-222-20000000000000000000000002-22-2-22-22000000000000
χ442222-222-2-2-22222-2-2222-2-2-2-22-222-2-222-2000000000000000000000000-22-222-22-2000000000000
χ452222-222-2-2-2-2-2-2-222-22222-2-2-22-22-2-22-220000000000000000000000000000000000002i−2i2i−2i0000
χ462222-222-2-2-2-2-2-2-222-22222-2-2-22-22-2-22-22000000000000000000000000000000000000−2i2i−2i2i0000
χ472222-222-2-2-2-2-2-2-222-22222-2-2-2-22-222-22-20000000000000000000000000000000000002i−2i−2i2i0000
χ482222-222-2-2-2-2-2-2-222-22222-2-2-2-22-222-22-2000000000000000000000000000000000000−2i2i2i−2i0000
χ492222-222-2-2-2-2-2-2-2-2-22-2-2222222-2-22-222-2000022002200-2-200-2-200000000000000000000000000
χ502222-222-2-2-2-2-2-2-2-2-22-2-2222222-2-22-222-20000-2-200-2-20022002200000000000000000000000000
χ512222-222-2-2-2-2-2-2-2-2-22-2-222222-222-22-2-2200002-2002-200-2200-2200000000000000000000000000
χ522222-222-2-2-2-2-2-2-2-2-22-2-222222-222-22-2-220000-2200-22002-2002-200000000000000000000000000
χ532222-2-2-222-222-2-2-22-22-2-22-22200000000002-22000-2000-202-22000000000002-2-22000000000000
χ542222-2-2-222-222-2-2-22-22-2-22-22200000000002-2-20002000202-2-200000000000-222-2000000000000
χ552222-2-2-222-222-2-2-22-22-2-22-2220000000000-222000-2000-20-22200000000000-222-2000000000000
χ562222-2-2-222-222-2-2-22-22-2-22-2220000000000-22-2000200020-22-2000000000002-2-22000000000000
χ572222-2-2-222-2-2-222-22-2-222-22-2200000000002-202000-2000-2-2202000000-222-20000000000000000
χ582222-2-2-222-2-2-222-22-2-222-22-2200000000002-20-200020002-220-20000002-2-220000000000000000
χ592222-2-2-222-2-2-222-22-2-222-22-220000000000-2202000-2000-22-2020000002-2-220000000000000000
χ602222-2-2-222-2-2-222-22-2-222-22-220000000000-220-2000200022-20-2000000-222-20000000000000000
χ6144444-4-4-4-4444-4-4-444-444-4-44-40000000000000000000000000000000000000000000000000000
χ6244444-4-4-4-44-4-444-4444-4-444-4-40000000000000000000000000000000000000000000000000000
χ634444-4-4-444-444-4-44-44-44-444-4-40000000000000000000000000000000000000000000000000000
χ644444-4-4-444-4-4-4444-444-44-4-44-40000000000000000000000000000000000000000000000000000
χ6588-8-808-80008i−8i8i−8i00000000000000000000000000000000000000000000000000000000000000
χ6688-8-808-8000−8i8i−8i8i00000000000000000000000000000000000000000000000000000000000000
χ6788-8-80-880008i−8i−8i8i00000000000000000000000000000000000000000000000000000000000000
χ6888-8-80-88000−8i8i8i−8i00000000000000000000000000000000000000000000000000000000000000
χ698-88-880000-800000000000000000000000000000000000000004i−4i000000000000000000000000
χ708-88-880000-80000000000000000000000000000000000000000−4i4i000000000000000000000000
χ718-88-8-80000800000000000000000000000000004-4000000000000000000000000000000000000
χ728-88-8-8000080000000000000000000000000000-44000000000000000000000000000000000000
χ738-8-880008-80000000000000000000000000000000000000000000004-400000000000000000000
χ748-8-880008-8000000000000000000000000000000000000000000000-4400000000000000000000
χ758-8-88000-8800000000000000000000000000000000000000000004-40000000000000000000000
χ768-8-88000-880000000000000000000000000000000000000000000-440000000000000000000000

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