Finite Group Databasebeta

← Group #150628

Character table — Group #150628

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222244444444488881616161616161616161616161616161616161632323232
order12222222244444444224424444448888888888884444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-11-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111111111-1-11-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111111111-1-11-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−i−iii
χ8111111111111-1-11-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiiii−i−i
χ911111-1-11-11-1-11111111-1-1-11-11-11-111-1-111-1-111-1-11-11-1
χ1011111-1-11-11-1-11111111-1-1-11-11-11-111-1-1-1-111-1-111-11-11
χ1111111-1-11-11-1-11111111-1-1-1-111-1-11-1-11111-1-111-1-1-11-11
χ1211111-1-11-11-1-11111111-1-1-1-111-1-11-1-111-1-111-1-1111-11-1
χ1311111-1-11-11-1-1-1-11-1-1-1-11111-11-11-1-1-111ii−i−i−i−iiii−i−ii
χ1411111-1-11-11-1-1-1-11-1-1-1-11111-11-11-1-1-111−i−iiiii−i−i−iii−i
χ1511111-1-11-11-1-1-1-11-1-1-1-1111-111-1-1111-1-1ii−i−i−i−iii−iii−i
χ1611111-1-11-11-1-1-1-11-1-1-1-1111-111-1-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222222222222-2-222-200-2-2000000000000000000
χ18222222222222-2-22-2-222-2-2200-2-2000000000000000000
χ1922222-2-22-22-2-222222-2-2-2-2200-22000000000000000000
χ2022222-2-22-22-2-2-2-22-2-22222-200-22000000000000000000
χ21444444444-4-4-400-400000000000000000000000000000
χ2244444-4-44-4-44400-400000000000000000000000000000
χ234444-444-4-400000000000002200-2-20000000000000000
χ244444-444-4-40000000000000-2-200220000000000000000
χ254444-4-4-4-4400000000000002-200-220000000000000000
χ264444-4-4-4-440000000000000-22002-20000000000000000
χ2744-4-4400-4040000-4004-40000000000000000000000000
χ2844-4-4400-4040000-400-440000000000000000000000000
χ2944-4-4400-40-4004i−4i44i−4i000000000000000000000000000
χ3044-4-4400-40-400−4i4i4−4i4i000000000000000000000000000
χ3144-4-4-4004004-400000000000000002i−2i2i−2i000000000000
χ3244-4-4-4004004-40000000000000000−2i2i−2i2i000000000000
χ3344-4-4-400400-4400000000000000002i−2i−2i2i000000000000
χ3444-4-4-400400-440000000000000000−2i2i2i−2i000000000000
χ354-4-4404-400000220-2-2002-200000000000i2−i2i2−i2i2−i2i2−i20000
χ364-4-4404-400000220-2-2002-200000000000−i2i2−i2i2−i2i2−i2i20000
χ374-4-4404-400000-2-202200-22000000000002−22−2−22−220000
χ384-4-4404-400000-2-202200-2200000000000−22−222−22−20000
χ394-4-440-4400000220-2-200-2200000000000i2−i2−i2i2i2−i2−i2i20000
χ404-4-440-4400000220-2-200-2200000000000−i2i2i2−i2−i2i2i2−i20000
χ414-4-440-4400000-2-2022002-2000000000002−2−22−222−20000
χ424-4-440-4400000-2-2022002-200000000000−222−22−2−220000
χ438-88-8000000004i−4i0−4i4i000000000000000000000000000
χ448-88-800000000−4i4i04i−4i000000000000000000000000000

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