Finite Group Databasebeta

← Group #150613

Character table — Group #150613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222244444444488881616161616161616161616161616161616161632323232
order12222222244444444444422444448888888888888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111111111-1-11-1-1-1-1-1-1-1-1-1-111-11111iiii−i−i−i−i−i−iii
χ8111111111111-1-11-1-1-1-1-1-1-1-1-1-111-11111−i−i−i−iiiiiii−i−i
χ911111-1-11-11-1-111111-1-1111-11-11-1-111-1-111-1-111-1-11-11-1
χ1011111-1-11-11-1-111111-1-1111-11-11-1-111-1-1-1-111-1-111-11-11
χ1111111-1-11-11-1-111111-1-111-11-111-1-1-1-11111-1-111-1-1-11-11
χ1211111-1-11-11-1-111111-1-111-11-111-1-1-1-111-1-111-1-1111-11-1
χ1311111-1-11-11-1-1-1-11-1-111-1-11-11-11-11-1-111ii−i−i−i−iiii−i−ii
χ1411111-1-11-11-1-1-1-11-1-111-1-11-11-11-11-1-111−i−iiiii−i−i−iii−i
χ1511111-1-11-11-1-1-1-11-1-111-1-1-11-111-1111-1-1ii−i−i−i−iii−iii−i
χ1611111-1-11-11-1-1-1-11-1-111-1-1-11-111-1111-1-1−i−iiiii−i−ii−i−ii
χ172222222222222222222-2-20000-2-2-20000000000000000
χ18222222222222-2-22-2-2-2-2220000-2-220000000000000000
χ1922222-2-22-22-2-222222-2-2-2-20000-2220000000000000000
χ2022222-2-22-22-2-2-2-22-2-222220000-22-20000000000000000
χ21444444444-4-4-400-400000000000000000000000000000
χ2244444-4-44-4-44400-400000000000000000000000000000
χ234444-444-4-400000000000022-2-20000000000000000000
χ244444-444-4-4000000000000-2-2220000000000000000000
χ254444-4-4-4-440000000000002-2-220000000000000000000
χ264444-4-4-4-44000000000000-222-20000000000000000000
χ2744-4-404-400000220-2-22-200000000000002−22−22−22−20000
χ2844-4-404-400000220-2-22-20000000000000−22−22−22−220000
χ2944-4-404-400000-2-2022-220000000000000i2−i2i2−i2−i2i2−i2i20000
χ3044-4-404-400000-2-2022-220000000000000−i2i2−i2i2i2−i2i2−i20000
χ3144-4-40-4400000220-2-2-2200000000000002−2−222−2−220000
χ3244-4-40-4400000220-2-2-220000000000000−222−2−222−20000
χ3344-4-40-4400000-2-20222-20000000000000i2−i2−i2i2−i2i2i2−i20000
χ3444-4-40-4400000-2-20222-20000000000000−i2i2i2−i2i2−i2−i2i20000
χ354-44-4400-4004-400000000000000002i−2i2i−2i000000000000
χ364-44-4400-4004-40000000000000000−2i2i−2i2i000000000000
χ374-44-4400-400-4400000000000000002i−2i−2i2i000000000000
χ384-44-4400-400-440000000000000000−2i2i2i−2i000000000000
χ394-44-4-4004040000-400004i−4i00000000000000000000000
χ404-44-4-4004040000-40000−4i4i00000000000000000000000
χ414-44-4-40040-4004-444-4000000000000000000000000000
χ424-44-4-40040-400-444-44000000000000000000000000000
χ438-8-88000000004-40-44000000000000000000000000000
χ448-8-8800000000-4404-4000000000000000000000000000

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