Finite Group Databasebeta

← Group #72310939

Character table — Group #72310939

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size112224444448888881616161616161616161616161632323232323232323232323232323264646464
order1222222444422444422244444488882444444444444888888
χ11111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111-1-1-1-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111-1-1-1-11-1-111-1-111-1-1-1-11-11111111-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-11-1-111-1-111-1-1-1-11-1111-1-1-1-11111-1-111-1-1
χ911111111111-1-111-1-1-11-11111-1-11111-1-1-111ii−i−iii−i−i-1-1i−ii−i
χ1011111111111-1-111-1-1-11-11111-1-11111-1-1-111−i−iii−i−iii-1-1−ii−ii
χ1111111111111-1-111-1-1-11-11111-1-1-1-1-1-11-11-1-1ii−i−iii−i−i11−ii−ii
χ1211111111111-1-111-1-1-11-11111-1-1-1-1-1-11-11-1-1−i−iii−i−iii11i−ii−i
χ1311111111111-1-1-1-111-1-1111-1-1-1-11111111-1-1ii−i−i−i−iii-1-1i−i−ii
χ1411111111111-1-1-1-111-1-1111-1-1-1-11111111-1-1−i−iiiii−i−i-1-1−iii−i
χ1511111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11-111ii−i−i−i−iii11−iii−i
χ1611111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11-111−i−iiiii−i−i11i−i−ii
χ1722222222222222222222-2-2-2-2-2-200000-200000000000000000
χ182222222222222-2-2-2-22-2-2-2-222-2-200000200000000000000000
χ1922222222222-2-222-2-2-22-2-2-2-2-22200000200000000000000000
χ2022222222222-2-2-2-222-2-22-2-2222200000-200000000000000000
χ212222222-2-2-2-2220000-2002-2002-200000000000002-22-2000000
χ222222222-2-2-2-2220000-2002-2002-20000000000000-22-22000000
χ232222222-2-2-2-2220000-200-2200-220000000002-22-20000000000
χ242222222-2-2-2-2220000-200-2200-22000000000-22-220000000000
χ252222222-2-2-2-2-2-200002002-200-2200000000000002i−2i−2i2i000000
χ262222222-2-2-2-2-2-200002002-200-220000000000000−2i2i2i−2i000000
χ272222222-2-2-2-2-2-20000200-22002-20000000002i−2i−2i2i0000000000
χ282222222-2-2-2-2-2-20000200-22002-2000000000−2i2i2i−2i0000000000
χ2944444-4-44-44-400004400-400000000000000000000000000000
χ3044444-4-44-44-40000-4-400400000000000000000000000000000
χ3144444-4-4-44-440044000-4000000000000000000000000000000
χ3244444-4-4-44-4400-4-40004000000000000000000000000000000
χ33444-4-4000-404004-40000000000022-2-20002-200000000000000
χ34444-4-4000-404004-400000000000-2-222000-2200000000000000
χ35444-4-4000-40400-440000000000022-2-2000-2200000000000000
χ36444-4-4000-40400-4400000000000-2-2220002-200000000000000
χ3744-44-400-404000004-40000000002-22-220-20000000000000000
χ3844-44-400-404000004-4000000000-22-22-2020000000000000000
χ3944-44-400-40400000-440000000002-22-2-2020000000000000000
χ4044-44-400-40400000-44000000000-22-2220-20000000000000000
χ4144-4-44-4400004-400000000000002-2-2200000000000002-20000
χ4244-4-44-4400004-40000000000000-222-20000000000000-220000
χ4344-4-44-440000-4400000000000002-2-220000000000000-220000
χ4444-4-44-440000-440000000000000-222-200000000000002-20000
χ45888-8-800080-800000000000000000000000000000000000000
χ4688-88-80080-8000000000000000000000000000000000000000
χ4788-8-888-8000000000000000000000000000000000000000000
χ4816-16000000000000000000004i−4i0000000000000000000000000
χ4916-1600000000000000000000−4i4i0000000000000000000000000

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