Finite Group Databasebeta

← Group #80396

Character table — Group #80396

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222244444444444666666668888888888881212121212121616242424
order1222344446664448888121212124444888822412121212122424242422448866444
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1
χ3111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111
χ4111111111111111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-11-1-1
χ51111111111111-1-11111111111111111-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1
χ61111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111
χ71111111111111-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1111-1-1
χ81111111111111-1-1-1-1-1-11111-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ911111-1-111111-11111-1-1-1-11111-1-111111-1-1-111-1-111-1-11-111-1-11-1-11-1
χ1011111-1-111111-11111-1-1-1-111-1-111-1-1-1-11-1-1-111-1-111-1-1-11-1-1111-11-11
χ1111111-1-111111-111-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1-111-1111-1
χ1211111-1-111111-111-1-111-1-111-1-1111111-11-1-111-1-1-1-111-1111-1-1-11-1-11
χ1311111-1-111111-1-1-111-1-1-1-11111-1-11111-111-1-1-11111-1-11-1-1-1-1-1-111-11
χ1411111-1-111111-1-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1-11111-1-1-111111-11-11-1
χ1511111-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1-111-1-1111-111111-1-1-11
χ1611111-1-111111-1-1-1-1-111-1-111-1-11111111-11-1-1-111-1-111-11-1-1-1-11-111-1
χ172222222-2-2222-200000022-2-222220000000-200000000-2-2000000000
χ182222222-2-2222-200000022-2-2-2-2-2-20000000-20000000022000000000
χ1922222-2-2-2-22222000000-2-2-2-222-2-20000000200000000-22000000000
χ2022222-2-2-2-22222000000-2-2-2-2-2-22200000002000000002-2000000000
χ212222-12222-1-1-12222222-1-1-1-100000000222-1-1-1-1-1-1-1-1-1000000-1-1000
χ222222-12222-1-1-1222-2-2-2-2-1-1-1-100000000-2-22-1-1-1-1-1111100000011000
χ232222-12222-1-1-12-2-22222-1-1-1-100000000-2-2-2-11111-1-1-1-100000011000
χ242222-12222-1-1-12-2-2-2-2-2-2-1-1-1-10000000022-2-111111111000000-1-1000
χ252222-1-2-222-1-1-1-22222-2-211-1-1000000002-2-21-1-111-1-111000000-11000
χ262222-1-2-222-1-1-1-222-2-22211-1-100000000-22-21-1-11111-1-10000001-1000
χ272222-1-2-222-1-1-1-2-2-222-2-211-1-100000000-222111-1-1-1-1110000001-1000
χ282222-1-2-222-1-1-1-2-2-2-2-22211-1-1000000002-22111-1-111-1-1000000-11000
χ292-22-222-2002-2-2000−i2i2−i2i22-2002i−2i2i−2i22−2−200000000−i2i2−i2i200002−200000
χ302-22-222-2002-2-2000−i2i2−i2i22-200−2i2i−2i2i−2−22200000000−i2i2−i2i20000−2200000
χ312-22-222-2002-2-2000i2−i2i2−i22-2002i−2i2i−2i−2−22200000000i2−i2i2−i20000−2200000
χ322-22-222-2002-2-2000i2−i2i2−i22-200−2i2i−2i2i22−2−200000000i2−i2i2−i200002−200000
χ332-22-22-22002-2-2000−i2i2i2−i2-22002i−2i−2i2i22−2−200000000−i2i2i2−i20000−2200000
χ342-22-22-22002-2-2000−i2i2i2−i2-2200−2i2i2i−2i−2−22200000000−i2i2i2−i200002−200000
χ352-22-22-22002-2-2000i2−i2−i2i2-22002i−2i−2i2i−2−22200000000i2−i2−i2i200002−200000
χ362-22-22-22002-2-2000i2−i2−i2i2-2200−2i2i2i−2i22−2−200000000i2−i2−i2i20000−2200000
χ372-2-222002-2-22-202i−2i0000002-200002i−2i2i−2i00002i−2i000000002-20000000
χ382-2-222002-2-22-202i−2i0000002-20000−2i2i−2i2i00002i−2i00000000-220000000
χ392-2-222002-2-22-20−2i2i0000002-200002i−2i2i−2i0000−2i2i00000000-220000000
χ402-2-222002-2-22-20−2i2i0000002-20000−2i2i−2i2i0000−2i2i000000002-20000000
χ414444-244-4-4-2-2-2-4000000-2-2220000000000020000000000000000000
χ424444-2-4-4-4-4-2-2-24000000222200000000000-20000000000000000000
χ4344-4-440000-4-44000000000000000−2i22i22i2−2i200000000000000000000000
χ4444-4-440000-4-440000000000000002i2−2i2−2i22i200000000000000000000000
χ454-44-4-24-400-222000−2i22i2−2i22i2-22000000000000000000i2−i2i2−i200000000000
χ464-44-4-24-400-2220002i2−2i22i2−2i2-22000000000000000000−i2i2−i2i200000000000
χ474-44-4-2-4400-222000−2i22i22i2−2i22-2000000000000000000i2−i2−i2i200000000000
χ484-44-4-2-4400-2220002i2−2i2−2i22i22-2000000000000000000−i2i2i2−i200000000000
χ494-4-44400-44-44-4000000000-440000000000000000000000000000000
χ504-4-44-2004-42-2204i−4i000000-22000000000000−2i2i00000000000000000
χ514-4-44-2004-42-220−4i4i000000-220000000000002i−2i00000000000000000
χ524-4-44-200-442-220000000002-200000000000000−2i32i3000000000000000
χ534-4-44-200-442-220000000002-2000000000000002i3−2i3000000000000000
χ5488-8-8-4000044-4000000000000000000000000000000000000000000

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