Finite Group Databasebeta

← Group #80353

Character table — Group #80353

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222244444444444666666668888888888881212121212121616242424
order12223444466644488881212121244448888222661212122424242422448866444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1
χ3111111111111111-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-111-1
χ4111111111111111-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-1-11111-1-1-1-11
χ5111111111111-1-111111111111111111-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1
χ6111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1111
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
χ911111-1-11111111-111-1-11-1-1111-1-11111-11-1-1-1-11111-1-11-111-1-11-11-1-1
χ1011111-1-11111111-111-1-11-1-11-1-111-1-1-1-1-11-1-1-1-11111-1-1-11-1-1111-1-111
χ1111111-1-11111111-1-1-1111-1-1111-1-1-1-1-1-1-1-11-1-1-111-1-1111-1-1-111-111-11
χ1211111-1-11111111-1-1-1111-1-11-1-1111111-1-11-1-1-111-1-111-1111-1-1-11-11-1
χ1311111-1-111111-1-1-111-1-11-1-1111-1-111111-1111-1-1-111-1-11-1-1-1-1-1-11-111
χ1411111-1-111111-1-1-111-1-11-1-11-1-111-1-1-1-11-1111-1-1-111-1-1-111111-111-1-1
χ1511111-1-111111-1-1-1-1-1111-1-1111-1-1-1-1-1-111-111-1-1-1-1-1111-111111-1-11-1
χ1611111-1-111111-1-1-1-1-1111-1-11-1-111111111-111-1-1-1-1-111-11-1-1-1-11-11-11
χ172222222-2-222200-20000-222-22222000000000-2000000-2-2000000000
χ182222222-2-222200-20000-222-2-2-2-2-2000000000-200000022000000000
χ1922222-2-2-2-22220020000-2-2-2-222-2-20000000002000000-22000000000
χ2022222-2-2-2-22220020000-2-2-2-2-2-22200000000020000002-2000000000
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
χ252222-1-2-222-1-1-122-222-2-2-111-100000000-22-2111-1-1-1-111000000-11000
χ262222-1-2-222-1-1-122-2-2-222-111-100000000-2-22111-1-111-1-10000001-1000
χ272222-1-2-222-1-1-1-2-2-222-2-2-111-1000000002-22-1-1111-1-1110000001-1000
χ282222-1-2-222-1-1-1-2-2-2-2-222-111-10000000022-2-1-111111-1-1000000-11000
χ2922-2-222-200-2-220002−22−202-202i−2i2i−2i−i2−i2i2i2000000002−22−20000−i2i200000
χ3022-2-222-200-2-220002−22−202-20−2i2i−2i2ii2i2−i2−i2000000002−22−20000i2−i200000
χ3122-2-222-200-2-22000−22−2202-202i−2i2i−2ii2i2−i2−i200000000−22−220000i2−i200000
χ3222-2-222-200-2-22000−22−2202-20−2i2i−2i2i−i2−i2i2i200000000−22−220000−i2i200000
χ3322-2-22-2200-2-220002−2−220-2202i−2i−2i2i−i2−i2i2i2000000002−2−220000i2−i200000
χ3422-2-22-2200-2-220002−2−220-220−2i2i2i−2ii2i2−i2−i2000000002−2−220000−i2i200000
χ3522-2-22-2200-2-22000−222−20-2202i−2i−2i2ii2i2−i2−i200000000−222−20000−i2i200000
χ3622-2-22-2200-2-22000−222−20-220−2i2i2i−2i−i2−i2i2i200000000−222−20000i2−i200000
χ372-22-22002-22-2-22i−2i00000200-200002i−2i2i−2i0000002i−2i0000002-20000000
χ382-22-22002-22-2-22i−2i00000200-20000−2i2i−2i2i0000002i−2i000000-220000000
χ392-22-22002-22-2-2−2i2i00000200-200002i−2i2i−2i000000−2i2i000000-220000000
χ402-22-22002-22-2-2−2i2i00000200-20000−2i2i−2i2i000000−2i2i0000002-20000000
χ414444-244-4-4-2-2-200-400002-2-220000000000000200000000000000000
χ424444-2-4-4-4-4-2-2-2004000022220000000000000-200000000000000000
χ4344-4-4-24-40022-200022−2222−220-2200000000000000000−22−2200000000000
χ4444-4-4-24-40022-2000−2222−22220-22000000000000000002−22−200000000000
χ4544-4-4-2-440022-200022−22−222202-200000000000000000−222−200000000000
χ4644-4-4-2-440022-2000−222222−2202-2000000000000000002−2−2200000000000
χ474-44-4400-444-4-40000000-40040000000000000000000000000000000
χ484-44-4-2004-4-2224i−4i00000-200200000000000000−2i2i000000000000000
χ494-44-4-2004-4-222−4i4i00000-2002000000000000002i−2i000000000000000
χ504-44-4-200-44-2220000000200-200000000000−2i32i3000000000000000000
χ514-44-4-200-44-2220000000200-2000000000002i3−2i3000000000000000000
χ524-4-4440000-44-400000000000000022−22−222200000000000000000000000
χ534-4-4440000-44-4000000000000000−222222−2200000000000000000000000
χ548-8-88-400004-44000000000000000000000000000000000000000000

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