Finite Group Databasebeta

← Group #81221

Character table — Group #81221

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222244444444444666666668888888888881212121212121616242424
order122234444666444888812121212444488884441212121212242424242244881212444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1
χ3111111111111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-1
χ4111111111111111-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-111-1-111-1-1-1-11
χ5111111111111-1-111111111111111111-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1
χ6111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1111
χ7111111111111-1-11-1-1-1-111111111-1-1-1-1-111-1-11-1-1-1-1-1-11111-1-111-1-11
χ8111111111111-1-11-1-1-1-11111-1-1-1-11111-111-1-11-1-1-1-1-1-1-1-1-1-1111111-1
χ911111-1-11111111-111-1-11-1-1111-1-11111-11-111-1-1-111-1-111-11-1-1-11-11-1
χ1011111-1-11111111-111-1-11-1-11-1-111-1-1-1-1-11-111-1-1-111-1-1-1-11-111-111-11
χ1111111-1-11111111-1-1-1111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-11111-1-111
χ1211111-1-11111111-1-1-1111-1-11-1-1111111-1-1111-1-1-1-1-111111-1-1-11-11-1-1
χ1311111-1-111111-1-1-111-1-11-1-1111-1-111111-11-1-1-11111-1-1-1-1-11-1-11-11-11
χ1411111-1-111111-1-1-111-1-11-1-11-1-111-1-1-1-11-11-1-1-11111-1-1111-1111-1-11-1
χ1511111-1-111111-1-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-1111-111-1-1
χ1611111-1-111111-1-1-1-1-1111-1-11-1-111111111-1-1-1-111-1-111-1-11-1-1-1-11-111
χ172222222-2-222200-20000-222-22222000000000-200000000-2-20000000
χ182222222-2-222200-20000-222-2-2-2-2-2000000000-200000000220000000
χ1922222-2-2-2-22220020000-2-2-2-222-2-20000000002000000002-20000000
χ2022222-2-2-2-22220020000-2-2-2-2-2-222000000000200000000-220000000
χ212222-12222-1-1-12222222-1-1-1-100000000222-1-1-1-1-1-1-1-1-1000000-1-1000
χ222222-12222-1-1-1222-2-2-2-2-1-1-1-1000000002-2-2-1-1-1-1-1111100000011000
χ232222-12222-1-1-1-2-222222-1-1-1-100000000-2-2-211-111-1-1-1-100000011000
χ242222-12222-1-1-1-2-22-2-2-2-2-1-1-1-100000000-22211-1111111000000-1-1000
χ252222-1-2-222-1-1-122-222-2-2-111-100000000-22-2-1-1111-1-1110000001-1000
χ262222-1-2-222-1-1-122-2-2-222-111-100000000-2-22-1-111111-1-1000000-11000
χ272222-1-2-222-1-1-1-2-2-222-2-2-111-1000000002-22111-1-1-1-111000000-11000
χ282222-1-2-222-1-1-1-2-2-2-2-222-111-10000000022-2111-1-111-1-10000001-1000
χ2922-2-22002-22-2-22-200000200-2000022-2-20002-200000002-2000000000
χ3022-2-22002-22-2-22-200000200-20000-2-2220002-20000000-22000000000
χ3122-2-22002-22-2-2-2200000200-2000022-2-2000-220000000-22000000000
χ3222-2-22002-22-2-2-2200000200-20000-2-222000-2200000002-2000000000
χ332-22-222i−2i00-2-22000−i2i22−202i−2i02-22i−2i−i2i2−i2i200000000−i2i22−200002−200000
χ342-22-222i−2i00-2-22000−i2i22−202i−2i0-22−2i2ii2−i2i2−i200000000−i2i22−20000−2200000
χ352-22-222i−2i00-2-22000i2−i2−2202i−2i02-22i−2ii2−i2i2−i200000000i2−i2−220000−2200000
χ362-22-222i−2i00-2-22000i2−i2−2202i−2i0-22−2i2i−i2i2−i2i200000000i2−i2−2200002−200000
χ372-22-22−2i2i00-2-22000−i2i2−220−2i2i02-2−2i2i−i2i2−i2i200000000−i2i2−220000−2200000
χ382-22-22−2i2i00-2-22000−i2i2−220−2i2i0-222i−2ii2−i2i2−i200000000−i2i2−2200002−200000
χ392-22-22−2i2i00-2-22000i2−i22−20−2i2i02-2−2i2ii2−i2i2−i200000000i2−i22−200002−200000
χ402-22-22−2i2i00-2-22000i2−i22−20−2i2i0-222i−2i−i2i2−i2i200000000i2−i22−20000−2200000
χ414444-244-4-4-2-2-200-400002-2-220000000000000200000000000000000
χ424444-2-4-4-4-4-2-2-2004000022220000000000000-200000000000000000
χ4344-4-4400-444-4-40000000-40040000000000000000000000000000000
χ4444-4-4-2004-4-2224-400000-200200000000000-22000000000000000000
χ4544-4-4-2004-4-222-4400000-2002000000000002-2000000000000000000
χ4644-4-4-200-44-2220000000200-20000000000000023−23000000000000000
χ4744-4-4-200-44-2220000000200-200000000000000−2323000000000000000
χ484-44-4-24i−4i0022-2000−2i22i222−220−2i2i00000000000000000i2−i2−2200000000000
χ494-44-4-24i−4i0022-20002i2−2i2−22220−2i2i00000000000000000−i2i22−200000000000
χ504-44-4-2−4i4i0022-2000−2i22i2−222202i−2i00000000000000000i2−i22−200000000000
χ514-44-4-2−4i4i0022-20002i2−2i222−2202i−2i00000000000000000−i2i2−2200000000000
χ524-4-4440000-44-4000000000000000−2i22i22i2−2i200000000000000000000000
χ534-4-4440000-44-40000000000000002i2−2i2−2i22i200000000000000000000000
χ548-8-88-400004-44000000000000000000000000000000000000000000

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