Finite Group Databasebeta

← Group #80604

Character table — Group #80604

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222244444444466666688888888888881212121212161624242424
order12223444466648888121212124444442444121212121224242424288886122444
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-111111111111-11-11-1-1-1-1-1-1-1-11-1-1-1-1111-11-1
χ61111111111111-1-1-1-11111111111-11-1111111-1-1-1-11-1-1-1-1-1-1-11-11
χ71111111111111-1-1-1-11111-1-1-1-1-1-11-11-11-1-1-1-1-1-1-1-1-1111111-11-11
χ81111111111111-1-1-1-11111-1-1-1-1-1-1-11-1111111-1-1-1-1-11111-1-11-11-1
χ911111-1-111111-111-1-1-1-1111111-1-111-1-1-111-1-111-1-1-111-1-11-111-1-1
χ1011111-1-111111-111-1-1-1-1111111-1-1-1-111-1-1-11111-1-1-111-1-1-11-1-111
χ1111111-1-111111-111-1-1-1-111-1-1-1-11111-1-1-111-1-111-1-11-1-1111-1-1-111
χ1211111-1-111111-111-1-1-1-111-1-1-1-111-1-111-1-1-11111-1-11-1-111-1111-1-1
χ1311111-1-111111-1-1-111-1-1111111-1-11-1-11-1-1-111-1-111-1-1-1111-11-1-11
χ1411111-1-111111-1-1-111-1-1111111-1-1-111-1-111-1-1-1-111-1-1-111-11-111-1
χ1511111-1-111111-1-1-111-1-111-1-1-1-1111-1-11-1-1-111-1-111111-1-11-1-111-1
χ1611111-1-111111-1-1-111-1-111-1-1-1-111-111-1-111-1-1-1-111111-1-1-111-1-11
χ172222222-2-2222-2000022-2-222-2-2-2-20000-20000000020000000000
χ182222222-2-2222-2000022-2-2-2-222220000-200000000-20000000000
χ1922222-2-2-2-222220000-2-2-2-222-2-2220000200000000-20000000000
χ2022222-2-2-2-222220000-2-2-2-2-2-222-2-2000020000000020000000000
χ212222-12222-1-1-122222-1-1-1-10000002222-1-1-1-1-1-1-1-1-100000-1-10000
χ222222-12222-1-1-122222-1-1-1-1000000-2-2-2-2-11111-1-1-1-100000110000
χ232222-12222-1-1-12-2-2-2-2-1-1-1-10000002-22-2-11111111100000-1-10000
χ242222-12222-1-1-12-2-2-2-2-1-1-1-1000000-22-22-1-1-1-1-1111100000110000
χ252222-1-2-222-1-1-1-222-2-211-1-100000022-2-21-1-111-1-11100000-110000
χ262222-1-2-222-1-1-1-222-2-211-1-1000000-2-222111-1-1-1-111000001-10000
χ272222-1-2-222-1-1-1-2-2-22211-1-10000002-2-22111-1-111-1-100000-110000
χ282222-1-2-222-1-1-1-2-2-22211-1-1000000-222-21-1-11111-1-1000001-10000
χ292-22-222i−2i00-22-202−2−i2i22i−2i00002-22i−2i0000000002−2−i2i202−2−i2i2000000
χ302-22-222i−2i00-22-202−2−i2i22i−2i0000-22−2i2i0000000002−2−i2i20−22i2−i2000000
χ312-22-222i−2i00-22-20−22i2−i22i−2i00002-22i−2i000000000−22i2−i20−22i2−i2000000
χ322-22-222i−2i00-22-20−22i2−i22i−2i0000-22−2i2i000000000−22i2−i202−2−i2i2000000
χ332-22-22−2i2i00-22-202−2i2−i2−2i2i00002-2−2i2i0000000002−2i2−i202−2i2−i2000000
χ342-22-22−2i2i00-22-202−2i2−i2−2i2i0000-222i−2i0000000002−2i2−i20−22−i2i2000000
χ352-22-22−2i2i00-22-20−22−i2i2−2i2i00002-2−2i2i000000000−22−i2i20−22−i2i2000000
χ362-22-22−2i2i00-22-20−22−i2i2−2i2i0000-222i−2i000000000−22−i2i202−2i2−i2000000
χ374444-244-4-4-2-2-2-40000-2-222000000000020000000000000000000
χ384444-2-4-4-4-4-2-2-24000022220000000000-20000000000000000000
χ3944-4-4400004-4-40000000004-40000000000000000000000000000
χ4044-4-4400004-4-4000000000-440000000000000000000000000000
χ414-44-4-24i−4i002-22022−22−2i22i2−2i2i00000000000000000−22i2−i200000000000
χ424-44-4-24i−4i002-220−22222i2−2i2−2i2i000000000000000002−2−i2i200000000000
χ434-44-4-2−4i4i002-22022−222i2−2i22i−2i00000000000000000−22−i2i200000000000
χ444-44-4-2−4i4i002-220−2222−2i22i22i−2i000000000000000002−2i2−i200000000000
χ454-4-444004-4-4-440000000-44000000000000000000000000000000
χ464-4-44400-44-4-4400000004-4000000000000000000000000000000
χ474-4-44-2004-422-200000002-20000000000000−2i32i3000000000000000
χ484-4-44-2004-422-200000002-200000000000002i3−2i3000000000000000
χ494-4-44-200-4422-20000000-220000000000023−2300000000000000000
χ504-4-44-200-4422-20000000-2200000000000−232300000000000000000
χ5188-8-8-40000-444000000000000000000000000000000000000000

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