Finite Group Databasebeta

← Group #81014

Character table — Group #81014

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order122234466644444488121212122244448121212121224242424224444881212448
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111-1-111111111-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111-1-1-1-1111-1-1111111-1-111-1-1-111-1-111-1-1-1-1111-1-11-1
χ6111111111111-1-1-1-1111-1-11-1-1-1-11-1-111-1-1-111-1-1-1-11111-1-11-11-11
χ7111111111111-1-1-1-1-1-11-1-111111-11111-1-1-1-1-11111-1-1-1-1-1-1-111-11
χ8111111111111-1-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-1-111-1-1111111-11-11-1
χ91111111111-1-111-1-11111111111-1-11-1-11-1-11111-1-111-1-111-1-1-1-11
χ101111111111-1-111-1-1111111-1-1-1-1-1-11-1-11-1-1111111-1-111-1-1-1-111-1
χ111111111111-1-111-1-1-1-11111111111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1
χ121111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-111-1-1111111-1-11
χ131111111111-1-1-1-111111-1-111111-11-1-1-1-11111-1-1-1-1-1-11111-111-1-1
χ141111111111-1-1-1-111111-1-11-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-11-111
χ151111111111-1-1-1-111-1-11-1-1111111-11-1-1-111-1-111-1-1-1-111-1-11-1-111
χ161111111111-1-1-1-111-1-11-1-11-1-1-1-11-11-1-1-111-1-1111111-1-1111-11-1-1
χ1722222-2-2222002-20000-222-222-2-200000-200000000-22000000000
χ1822222-2-2222002-20000-222-2-2-22200000-2000000002-2000000000
χ1922222-2-222200-220000-2-2-2-222-2-2000002000000002-2000000000
χ2022222-2-222200-220000-2-2-2-2-2-22200000200000000-22000000000
χ212222-122-1-1-122222222-1-1-1-10000222-1-1-1-1-1-1-1-1-100000000-1-1000
χ222222-122-1-1-1222222-2-2-1-1-1-10000-2-2-2-1-1-1-1-111110000000011000
χ232222-122-1-1-122-2-2-2-222-111-100002-2-2-1-1111-1-11100000000-11000
χ242222-122-1-1-122-2-2-2-2-2-2-111-10000-222-1-111111-1-1000000001-1000
χ252222-122-1-1-1-2-222-2-222-1-1-1-10000-2-2211-111-1-1-1-10000000011000
χ262222-122-1-1-1-2-222-2-2-2-2-1-1-1-1000022-211-111111100000000-1-1000
χ272222-122-1-1-1-2-2-2-22222-111-10000-22-2111-1-1-1-111000000001-1000
χ282222-122-1-1-1-2-2-2-222-2-2-111-100002-22111-1-111-1-100000000-11000
χ2922-2-222-22-2-22-2000000200-22-22-20002-200000002-200000000000
χ3022-2-222-22-2-22-2000000200-2-22-220002-20000000-2200000000000
χ3122-2-222-22-2-2-22000000200-22-22-2000-220000000-2200000000000
χ3222-2-222-22-2-2-22000000200-2-22-22000-2200000002-200000000000
χ3322-2-22-222-2-200002i−2i00-20022-2-220000002i−2i000000002i−2i0000000
χ3422-2-22-222-2-200002i−2i00-2002-222-20000002i−2i00000000−2i2i0000000
χ3522-2-22-222-2-20000−2i2i00-20022-2-22000000−2i2i00000000−2i2i0000000
χ3622-2-22-222-2-20000−2i2i00-2002-222-2000000−2i2i000000002i−2i0000000
χ374444-2-4-4-2-2-2004-400002-2-2200000000020000000000000000000
χ384444-2-4-4-2-2-200-4400002222000000000-20000000000000000000
χ3944-4-4-24-4-2224-4000000-20020000000-2200000000000000000000
χ4044-4-4-24-4-222-44000000-200200000002-200000000000000000000
χ4144-4-4-2-44-22200004i−4i00200-20000000000−2i2i00000000000000000
χ4244-4-4-2-44-2220000−4i4i00200-200000000002i−2i00000000000000000
χ434-44-4400-4-44000000−2i22i20000000000000000−2i22i2000000000000000
χ444-44-4400-4-440000002i2−2i200000000000000002i2−2i2000000000000000
χ454-44-4-20022-2000000−2i22i20−2i32i30000000000000i2−i26−60000000000000
χ464-44-4-20022-2000000−2i22i202i3−2i30000000000000i2−i2−660000000000000
χ474-44-4-20022-20000002i2−2i20−2i32i30000000000000−i2i2−660000000000000
χ484-44-4-20022-20000002i2−2i202i3−2i30000000000000−i2i26−60000000000000
χ494-4-44400-44-40000000000000000000000000000000000−2i22i200000
χ504-4-44400-44-400000000000000000000000000000000002i2−2i200000
χ518-8-88-4004-4400000000000000000000000000000000000000000

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