Finite Group Databasebeta

← Group #81048

Character table — Group #81048

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order1222344666224444881212121244444466812121224242424222444881212248
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111-1-111111111-1-111-1111-1-1-1-1111111-1-1-1-1-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111-1-1-1-1111-1-1111111-111-1-1-1-111-1-1-1-1-1-111111-11-1-1
χ6111111111111-1-1-1-1111-1-11-1-1-1-11-111-1-1-1-111-1-11111-1-1-1-11-1-111
χ7111111111111-1-1-1-1-1-11-1-111111-11111-1-1-1-1-111-1-1-1-111-1-1-11-111
χ8111111111111-1-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-1-1111111-1-111-111-1-1
χ91111111111-1-111-1-1111-1-111111-11-1-1-111-111-1-111-1-1-1-111-11-11-1
χ101111111111-1-111-1-1111-1-11-1-1-1-1-11-1-1-111-111-1-1-1-11111-1-1-111-11
χ111111111111-1-111-1-1-1-11-1-1111111-1-1-1111-1-1-11111-1-1-1-1-1-11-11-11
χ121111111111-1-111-1-1-1-11-1-11-1-1-1-11-1-1-1111-1-1-111-1-11111111-1-11-1
χ131111111111-1-1-1-1111111111111-1-1-1-11-1-111111-1-111-1-111-1-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-1-111-1
χ151111111111-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1
χ161111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-1-1-1-111-1-1111111-1-11
χ1722222-2-222200002-200-222-222-2-20000000-2000000-22000000000
χ1822222-2-222200002-200-222-2-2-2220000000-20000002-2000000000
χ1922222-2-22220000-2200-2-2-2-222-2-2000000020000002-2000000000
χ2022222-2-22220000-2200-2-2-2-2-2-22200000002000000-22000000000
χ212222-122-1-1-122222222-1-1-1-1000022-1-12-1-1-1-1-1-1-100000000-1-1000
χ222222-122-1-1-1222222-2-2-1-1-1-10000-2-2-1-1-2-1-1-111110000000011000
χ232222-122-1-1-122-2-2-2-222-111-100002-2-1-1-2111-1-11100000000-11000
χ242222-122-1-1-122-2-2-2-2-2-2-111-10000-22-1-1211111-1-1000000001-1000
χ252222-122-1-1-1-2-222-2-222-111-10000-2211-2-1-11-1-111000000001-1000
χ262222-122-1-1-1-2-222-2-2-2-2-111-100002-2112-1-1111-1-100000000-11000
χ272222-122-1-1-1-2-2-2-22222-1-1-1-10000-2-211211-1-1-1-1-10000000011000
χ282222-122-1-1-1-2-2-2-222-2-2-1-1-1-100002211-211-1111100000000-1-1000
χ292-22-222-22-2-2002i−2i0000-20022i−2i2i−2i000002i−2i000002-200000000000
χ302-22-222-22-2-2002i−2i0000-2002−2i2i−2i2i000002i−2i00000-2200000000000
χ312-22-222-22-2-200−2i2i0000-20022i−2i2i−2i00000−2i2i00000-2200000000000
χ322-22-222-22-2-200−2i2i0000-2002−2i2i−2i2i00000−2i2i000002-200000000000
χ332-22-22-222-2-22-2000000200-22i−2i−2i2i002-20000000000002i−2i0000000
χ342-22-22-222-2-22-2000000200-2−2i2i2i−2i002-2000000000000−2i2i0000000
χ352-22-22-222-2-2-22000000200-22i−2i−2i2i00-22000000000000−2i2i0000000
χ362-22-22-222-2-2-22000000200-2−2i2i2i−2i00-220000000000002i−2i0000000
χ374444-2-4-4-2-2-200004-4002-2-2200000000000200000000000000000
χ384444-2-4-4-2-2-20000-4400222200000000000-200000000000000000
χ3944-4-4400-44-4000000−2i22i20000000000000000−2i22i2000000000000000
χ4044-4-4400-44-40000002i2−2i200000000000000002i2−2i2000000000000000
χ4144-4-4-2002-22000000−2i22i20−2i32i30000000000000i2−i26−60000000000000
χ4244-4-4-2002-22000000−2i22i202i3−2i30000000000000i2−i2−660000000000000
χ4344-4-4-2002-220000002i2−2i20−2i32i30000000000000−i2i2−660000000000000
χ4444-4-4-2002-220000002i2−2i202i3−2i30000000000000−i2i26−60000000000000
χ454-44-4-24-4-222004i−4i0000200-2000000000−2i2i000000000000000000
χ464-44-4-24-4-22200−4i4i0000200-20000000002i−2i000000000000000000
χ474-44-4-2-44-2224-4000000-2002000000-22000000000000000000000
χ484-44-4-2-44-222-44000000-20020000002-2000000000000000000000
χ494-4-44400-4-44000000000000000000000000000000000022−2200000
χ504-4-44400-4-440000000000000000000000000000000000−222200000
χ518-8-88-40044-400000000000000000000000000000000000000000

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