Finite Group Databasebeta

← Group #25525

Character table — Group #25525

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11112222222222444444444444448888888888888816161616
order1222222244444424444444444444244444444488884488
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11-1-1111111111-11-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ7111111111111111-1-11-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1
χ8111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ911111-1-111-1-1111-111-1111111-1-1-1-11-1-1-11-111-1-111-1-11-11-1
χ1011111-1-111-1-1111-111-1111111-1-1-1-1-1-11-1-11-1-11111-1-1-11-11
χ1111111-1-111-1-1111-111-111-1-1-1-111111-1-1-11-111-1-1-1-111-11-11
χ1211111-1-111-1-1111-111-111-1-1-1-11111-1-11-1-11-1-111-1-1111-11-1
χ1311111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-111-111-1-1-111-1-111-111-1
χ1411111-1-111-1-1111-1-1-1-1-1-11111-1-1-1-1-1111-1111-1-1-1-1111-1-11
χ1511111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11111-1-11-1-11
χ1611111-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-111-1-1-111-1
χ1722222222-2-2-2-2-2-2200-200000000000000002-22-200000000
χ1822222222-2-2-2-2-2-2200-20000000000000000-22-2200000000
χ1922222-2-22-222-2-2-2-200200000000000000002-2-2200000000
χ2022222-2-22-222-2-2-2-20020000000000000000-222-200000000
χ212222-222-2222-2-22-200-200000000002020-2-2000000000000
χ222222-222-2222-2-22-200-20000000000-20-2022000000000000
χ232222-222-2-2-2-222-2-2222-2-200000000020-200000000000000
χ242222-222-2-2-2-222-2-2-2-2222000000000-20200000000000000
χ252222-2-2-2-22-2-2-2-222002000000000020-20-22000000000000
χ262222-2-2-2-22-2-2-2-2220020000000000-20202-2000000000000
χ272222-2-2-2-2-22222-2222-2-2-2000000000-20200000000000000
χ282222-2-2-2-2-22222-22-2-2-22200000000020-200000000000000
χ292-22-2200-2-2002-2202i−2i02i−2i00002i2i−2i−2i0000000000002-20000
χ302-22-2200-2-2002-2202i−2i02i−2i0000−2i−2i2i2i000000000000-220000
χ312-22-2200-2-2002-220−2i2i0−2i2i00002i2i−2i−2i000000000000-220000
χ322-22-2200-2-2002-220−2i2i0−2i2i0000−2i−2i2i2i0000000000002-20000
χ332-22-2-20022002-2-202i−2i0−2i2i22-2-2000000000000002i−2i000000
χ342-22-2-20022002-2-202i−2i0−2i2i-2-22200000000000000−2i2i000000
χ352-22-2-20022002-2-20−2i2i02i−2i22-2-200000000000000−2i2i000000
χ362-22-2-20022002-2-20−2i2i02i−2i-2-222000000000000002i−2i000000
χ3744-4-404-400000000000002-22-22-22-2000000000000000000
χ3844-4-404-40000000000000-22-22-22-22000000000000000000
χ3944-4-40-4400000000000002-22-2-22-22000000000000000000
χ4044-4-40-440000000000000-22-222-22-2000000000000000000
χ414-44-4400-4400-44-400000000000000000000000000000000
χ424-44-4-4004-400-44400000000000000000000000000000000
χ434-4-44000004i−4i0000000002-2-222i−2i−2i2i000000000000000000
χ444-4-44000004i−4i000000000-222-2−2i2i2i−2i000000000000000000
χ454-4-4400000−4i4i0000000002-2-22−2i2i2i−2i000000000000000000
χ464-4-4400000−4i4i000000000-222-22i−2i−2i2i000000000000000000

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