Finite Group Databasebeta

← Group #72237756

Character table — Group #72237756

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size112224444448888881616161616161616161616161632323232323232323232323232323264646464
order1222222222222222222444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111-1-1111111-1-1-111-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-1-1-1111-1-1111111-1-1-111-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ911111111111-1-111-1-1-1-1-11-1111111-1-11-1-111-1-1ii−i−iii−i−ii−ii−i
χ1011111111111-1-111-1-1-1-1-11-1111111-1-11-1-111-1-1−i−iii−i−iii−ii−ii
χ1111111111111-1-111-1-1-1-1-11-111-1-1-1-1-1-1111-1-111ii−i−iii−i−i−ii−ii
χ1211111111111-1-111-1-1-1-1-11-111-1-1-1-1-1-1111-1-111−i−iii−i−iiii−ii−i
χ1311111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1111-1-11
χ1411111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-111-1
χ1511111111111-1-1-1-111-1-1-1-1111-1-1-1-111-11111-1-111-1-1-1-111-111-1
χ1611111111111-1-1-1-111-1-1-1-1111-1-1-1-111-11111-1-1-1-11111-1-11-1-11
χ1722222222222222222-2-2222-2-20000-2-2-2000000000000000000
χ182222222222222-2-2-2-2-2-22-2-2-2-20000222000000000000000000
χ1922222222222-2-222-2-222-22-2-2-2000022-2000000000000000000
χ2022222222222-2-2-2-22222-2-22-2-20000-2-22000000000000000000
χ21222222-2-22-2-20000220000-22-200002-20000000002-22-2000000
χ22222222-2-22-2-20000220000-22-200002-2000000000-22-22000000
χ23222222-2-22-2-20000220000-2-220000-2200000002-200002-20000
χ24222222-2-22-2-20000220000-2-220000-220000000-220000-220000
χ25222222-2-22-2-20000-2-2000022-20000-220000000002i−2i−2i2i000000
χ26222222-2-22-2-20000-2-2000022-20000-22000000000−2i2i2i−2i000000
χ27222222-2-22-2-20000-2-200002-2200002-200000002i−2i0000−2i2i0000
χ28222222-2-22-2-20000-2-200002-2200002-20000000−2i2i00002i−2i0000
χ2944444-44-4-44-4004400000-40000000000000000000000000000
χ3044444-44-4-44-400-4-40000040000000000000000000000000000
χ3144444-4-44-4-4444000000-400000000000000000000000000000
χ3244444-4-44-4-44-4-4000000400000000000000000000000000000
χ33444-4-40400-40004-40000000002i2i−2i−2i000002i−2i00000000000000
χ34444-4-40400-40004-4000000000−2i−2i2i2i00000−2i2i00000000000000
χ35444-4-40400-4000-440000000002i2i−2i−2i00000−2i2i00000000000000
χ36444-4-40400-4000-44000000000−2i−2i2i2i000002i−2i00000000000000
χ3744-44-4400-40000004-400000002i−2i2i−2i00000002i−2i000000000000
χ3844-44-4400-40000004-40000000−2i2i−2i2i0000000−2i2i000000000000
χ3944-44-4400-4000000-4400000002i−2i2i−2i0000000−2i2i000000000000
χ4044-44-4400-4000000-440000000−2i2i−2i2i00000002i−2i000000000000
χ4144-4-4400-40044-4000000000002-2-220002-20000000000000000
χ4244-4-4400-40044-400000000000-222-2000-220000000000000000
χ4344-4-4400-4004-44000000000002-2-22000-220000000000000000
χ4444-4-4400-4004-4400000000000-222-20002-20000000000000000
χ45888-8-80-8008000000000000000000000000000000000000000
χ4688-88-8-80080000000000000000000000000000000000000000
χ4788-8-8800800-800000000000000000000000000000000000000
χ4816-160000000000000004-4000000000000000000000000000000
χ4916-16000000000000000-44000000000000000000000000000000

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