Finite Group Databasebeta

← Group #72262512

Character table — Group #72262512

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122222288888888881616161616161616161616161616161616161616161616161616323232323232323264646464
order1222222222222222444422244444444444444444444444244444448888
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-11111-1-111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-1111111-1-1
χ911111111111-1-1-1-111111-11-1-111-1-11-1111111-1-111-1-111-1-1-11-1-111-1-11-11-1
χ1011111111111-1-1-1-111111-11-1-111-1-11-11111-1-111-1-111-1-1111-1-1-111-1-1-11-11
χ1111111111111-1-1-1-111111-11-1-111-1-11-1-1-1-1-111-1-1-1-1111111-1-111-1-1111-1-11
χ1211111111111-1-1-1-111111-11-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1
χ1311111111111-1-1-1-111111-1-11-1-1-111-11111111-1-111-1-111-1-1-11-1-1-1-111-11-11
χ1411111111111-1-1-1-111111-1-11-1-1-111-111111-1-111-1-111-1-1111-1-1-1-1-1111-11-1
χ1511111111111-1-1-1-111111-1-11-1-1-111-11-1-1-1-111-1-1-1-1111111-1-11111-1-1-111-1
χ1611111111111-1-1-1-111111-1-11-1-1-111-11-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-11
χ172222222222222222-2-2-2-2-200-200000022-2-200000000000000-2200000000
χ182222222222222222-2-2-2-2-200-2000000-2-222000000000000002-200000000
χ1922222222222-2-2-2-22-2-2-2-2200200000022-2-2000000000000002-200000000
χ2022222222222-2-2-2-22-2-2-2-22002000000-2-22200000000000000-2200000000
χ212222222222-222-2-2-222-2-2200-2000000000022220000-2-200-200000000000
χ222222222222-222-2-2-222-2-2200-20000000000-2-2-2-200002200200000000000
χ232222222222-222-2-2-2-2-222-200200000000000000222200-2-20-20000000000
χ242222222222-222-2-2-2-2-222-200200000000000000-2-2-2-20022020000000000
χ252222222222-2-2-222-222-2-2-2002000000000022-2-20000-2-200200000000000
χ262222222222-2-2-222-222-2-2-20020000000000-2-22200002200-200000000000
χ272222222222-2-2-222-2-2-222200-20000000000000022-2-200220-20000000000
χ282222222222-2-2-222-2-2-222200-200000000000000-2-22200-2-2020000000000
χ2922222-22-2-2-220000-22-22-20020002-20-22i−2i2i−2i0000000000000000002i−2i0000
χ3022222-22-2-2-220000-22-22-20020002-20-2−2i2i−2i2i000000000000000000−2i2i0000
χ3122222-22-2-2-220000-22-22-200-2000-22022i−2i2i−2i000000000000000000−2i2i0000
χ3222222-22-2-2-220000-22-22-200-2000-2202−2i2i−2i2i0000000000000000002i−2i0000
χ3322222-22-2-2-220000-2-22-2202002-200-202i−2i−2i2i00000000000000002i−2i000000
χ3422222-22-2-2-220000-2-22-2202002-200-20−2i2i2i−2i0000000000000000−2i2i000000
χ3522222-22-2-2-220000-2-22-220-200-2200202i−2i−2i2i0000000000000000−2i2i000000
χ3622222-22-2-2-220000-2-22-220-200-220020−2i2i2i−2i00000000000000002i−2i000000
χ3744444-44-4-4-4-4000044-4-4400000000000000000000000000000000000000
χ3844444-44-4-4-4-400004-444-400000000000000000000000000000000000000
χ394444-44-4-4-4404-400000000220-22-22-2-20000000000000000000000000000
χ404444-44-4-4-4404-400000000-2-202-22-2220000000000000000000000000000
χ414444-44-4-4-440-44000000002-20-222-2-220000000000000000000000000000
χ424444-44-4-4-440-4400000000-2202-2-222-20000000000000000000000000000
χ434444-4-4-444-40004-4000000220-2-2-2-2220000000000000000000000000000
χ444444-4-4-444-40004-4000000-2-202222-2-20000000000000000000000000000
χ454444-4-4-444-4000-440000002-20-2-2222-20000000000000000000000000000
χ464444-4-4-444-4000-44000000-22022-2-2-220000000000000000000000000000
χ4788-8-808000-800000000000000000000000000004i−4i000000000000000000
χ4888-8-808000-80000000000000000000000000000−4i4i000000000000000000
χ4988-8-80-80008000000000000000000000000000000004-400000000000000
χ5088-8-80-8000800000000000000000000000000000000-4400000000000000
χ518-88-880-800000000000000000000000000000000000004i−4i000000000000
χ528-88-880-80000000000000000000000000000000000000−4i4i000000000000
χ538-88-8-8080000000000000000000000000004-40000000000000000000000
χ548-88-8-808000000000000000000000000000-440000000000000000000000
χ558-8-880008-800000000000000000000000000000004-40000000000000000
χ568-8-880008-80000000000000000000000000000000-440000000000000000
χ578-8-88000-880000000000000000000000000004-400000000000000000000
χ588-8-88000-88000000000000000000000000000-4400000000000000000000

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