Finite Group Databasebeta

← Group #8769

Character table — Group #8769

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444444444444444444444888888888888
χ11111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ911111111-1-1-1-1111-1-11111-1-11-1-1-111-1-1ii−i−iii−i−ii−ii−i
χ1011111111-1-1-1-1111-1-11111-1-11-1-1-111-1-1−i−iii−i−iii−ii−ii
χ1111111111-1-1-1-1111-1-1-1-1-1-1-1-11-111-1-111ii−i−iii−i−i−ii−ii
χ1211111111-1-1-1-1111-1-1-1-1-1-1-1-11-111-1-111−i−iii−i−iiii−ii−i
χ1311111111-1-1-1-11-1-1111111-1-1-11-1-1-1-111ii−i−i−i−iiii−i−ii
χ1411111111-1-1-1-11-1-1111111-1-1-11-1-1-1-111−i−iiiii−i−i−iii−i
χ1511111111-1-1-1-11-1-111-1-1-1-1-1-1-111111-1-1ii−i−i−i−iii−iii−i
χ1611111111-1-1-1-11-1-111-1-1-1-1-1-1-111111-1-1−i−iiiii−i−ii−i−ii
χ17222222-2-22222-222220000-2-2-2-2000000000000000000
χ18222222-2-22222-2-2-2-2-20000-2-222000000000000000000
χ19222222-2-2-2-2-2-2-222-2-2000022-22000000000000000000
χ20222222-2-2-2-2-2-2-2-2-2220000222-2000000000000000000
χ212222-2-2222-22-2-2000000002-200002i−2i2i−2i000000000000
χ222222-2-2222-22-2-2000000002-20000−2i2i−2i2i000000000000
χ232222-2-222-22-22-200000000-2200002i−2i−2i2i000000000000
χ242222-2-222-22-22-200000000-220000−2i2i2i−2i000000000000
χ252222-2-2-2-22-22-2200002i2i−2i−2i-22002i−2i0000000000000000
χ262222-2-2-2-22-22-220000−2i−2i2i2i-2200−2i2i0000000000000000
χ272222-2-2-2-2-22-22200002i2i−2i−2i2-200−2i2i0000000000000000
χ282222-2-2-2-2-22-2220000−2i−2i2i2i2-2002i−2i0000000000000000
χ292-22-22-2002-2-2202i−2i2i−2i00000000000000i2−i2i2−i22−22−20000
χ302-22-22-2002-2-2202i−2i2i−2i00000000000000−i2i2−i2i2−22−220000
χ312-22-22-2002-2-220−2i2i−2i2i00000000000000i2−i2i2−i2−22−220000
χ322-22-22-2002-2-220−2i2i−2i2i00000000000000−i2i2−i2i22−22−20000
χ332-22-22-200-222-202i−2i−2i2i000000000000002−2−22−i2i2i2−i20000
χ342-22-22-200-222-202i−2i−2i2i00000000000000−222−2i2−i2−i2i20000
χ352-22-22-200-222-20−2i2i2i−2i000000000000002−2−22i2−i2−i2i20000
χ362-22-22-200-222-20−2i2i2i−2i00000000000000−222−2−i2i2i2−i20000
χ374-44-4-440044-4-40000000000000000000000000000000
χ384-44-4-4400-4-4440000000000000000000000000000000
χ394-4-44004i−4i0000000002+2i−2−2i2−2i−2+2i0000000000000000000000
χ404-4-44004i−4i000000000−2−2i2+2i−2+2i2−2i0000000000000000000000
χ414-4-4400−4i4i0000000002−2i−2+2i2+2i−2−2i0000000000000000000000
χ424-4-4400−4i4i000000000−2+2i2−2i−2−2i2+2i0000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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