Finite Group Databasebeta

← Group #81092

Character table — Group #81092

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222223333444444444444466668888888888812121212121212121216162424
order122234444666444444444888812121212224444121212121224242424444448888121244
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-111111111-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111111111-1-1-1-11-1-11111-1-11-1-11111-1-1-1-1
χ411111111111111111-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111111-111-1-1-1-1-1-111
χ8111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-111-111111111-1-1
χ911111-1-1111111111-111-1-111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-11111-1-11-11-1
χ1011111-1-1111111111-111-1-1-1-111-1-111-1-111-11-1-1-111-1-111-1-1-111-1-111-11-11
χ1111111-1-1111111111-1-1-11111-1-1-1-111-1-111-1111-1-1-111-1-111-1-1-111-1-1-11-11
χ1211111-1-1111111111-1-1-111-1-111-1-111-1-1111-111-1-1-1-1-11111-1-1-1-1-1111-11-1
χ1311111-1-111111-1-1-1-1-111-1-111-1-1-1-11111-1-11-1-1-1-11111-1-1111-1-1-1-1111-1-11
χ1411111-1-111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-11-1-1-111-1-111111-1-111-1-1-111-1
χ1511111-1-111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-111-1-1-1-1111-1-111-111-1
χ1611111-1-111111-1-1-1-1-1-1-111-1-111-1-11111-1-11-111-1-1-1-1-111-1-111111-1-11-1-11
χ172222222-2-22222222-20000000022-2-222-2-20000-200000000-20000000000
χ182222222-2-2222-2-2-2-2-20000000022-2-2-2-2220000-20000000020000000000
χ1922222-2-2-2-22222222200000000-2-2-2-2-2-2-2-2000020000000020000000000
χ2022222-2-2-2-2222-2-2-2-2200000000-2-2-2-222220000200000000-20000000000
χ212222-12222-1-1-10000222222222-1-1-1-1000022-1-1-1-1-1-1-1-1-1000000000-1-100
χ222222-12222-1-1-1000022222-2-2-2-2-1-1-1-10000-2-2-1-1-1-1-111110000000001100
χ232222-12222-1-1-100002-2-2-2-22222-1-1-1-10000-2-211-111-1-1-1-10000000001100
χ242222-12222-1-1-100002-2-2-2-2-2-2-2-2-1-1-1-100002211-1111111000000000-1-100
χ252222-1-2-222-1-1-10000-222-2-222-2-211-1-100002-2111-1-1-1-111000000000-1100
χ262222-1-2-222-1-1-10000-222-2-2-2-22211-1-10000-22111-1-111-1-10000000001-100
χ272222-1-2-222-1-1-10000-2-2-22222-2-211-1-10000-22-1-1111-1-1110000000001-100
χ282222-1-2-222-1-1-10000-2-2-222-2-22211-1-100002-2-1-111111-1-1000000000-1100
χ2922-2-222-2002-2-222-2-2000002−22−22-2002-20000000002−22−2000002−22−20000
χ3022-2-222-2002-2-222-2-200000−22−222-2002-2000000000−22−2200000−22−220000
χ3122-2-222-2002-2-2-2-222000002−22−22-200-220000000002−22−200000−22−220000
χ3222-2-222-2002-2-2-2-22200000−22−222-200-22000000000−22−22000002−22−20000
χ3322-2-22-22002-2-222-2-2000002−2−22-2200-220000000002−2−22000002−2−220000
χ3422-2-22-22002-2-222-2-200000−222−2-2200-22000000000−222−200000−222−20000
χ3522-2-22-22002-2-2-2-222000002−2−22-22002-20000000002−2−2200000−222−20000
χ3622-2-22-22002-2-2-2-22200000−222−2-22002-2000000000−222−2000002−2−220000
χ372-2-222002-2-22-22i−2i2i−2i02i−2i00000000-22002i−2i000002i−2i00000002-200000000
χ382-2-222002-2-22-22i−2i2i−2i0−2i2i00000000-22002i−2i00000−2i2i0000000-2200000000
χ392-2-222002-2-22-2−2i2i−2i2i02i−2i00000000-2200−2i2i000002i−2i0000000-2200000000
χ402-2-222002-2-22-2−2i2i−2i2i0−2i2i00000000-2200−2i2i00000−2i2i00000002-200000000
χ412-2-22200-22-22-22i−2i2i−2i0002-20000002-200−2i2i002-200000002i−2i00000000000
χ422-2-22200-22-22-22i−2i2i−2i000-220000002-200−2i2i00-220000000−2i2i00000000000
χ432-2-22200-22-22-2−2i2i−2i2i0002-20000002-2002i−2i002-20000000−2i2i00000000000
χ442-2-22200-22-22-2−2i2i−2i2i000-220000002-2002i−2i00-2200000002i−2i00000000000
χ454444-244-4-4-2-2-20000-400000000-2-2220000000020000000000000000000
χ464444-2-4-4-4-4-2-2-20000400000000222200000000-20000000000000000000
χ4744-4-4-24-400-22200000000022−2222−22-220000000000000−22−220000000000000
χ4844-4-4-24-400-222000000000−2222−2222-2200000000000002−22−20000000000000
χ4944-4-4-2-4400-22200000000022−22−22222-20000000000000−222−20000000000000
χ5044-4-4-2-4400-222000000000−222222−222-200000000000002−2−220000000000000
χ514-44-440000-4-444i−4i−4i4i00000000000000000000000000000000000000000
χ524-44-440000-4-44−4i4i4i−4i00000000000000000000000000000000000000000
χ534-4-44-2004-42-22000004i−4i000000002-2000000000−2i2i00000000000000000
χ544-4-44-2004-42-2200000−4i4i000000002-20000000002i−2i00000000000000000
χ554-4-44-200-442-2200000004-4000000-22000000-2200000000000000000000
χ564-4-44-200-442-220000000-44000000-220000002-200000000000000000000
χ578-88-8-4000044-4000000000000000000000000000000000000000000000

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