Finite Group Databasebeta

← Group #80365

Character table — Group #80365

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order1222344666444444881212121244442281212121212242424242444448866448
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
χ5111111111111-1-1-1-111-1-11111111-1-111-1-1-111-1-1-111-1-1-1111-1-11-1
χ6111111111111-1-1-1-111-1-111-1-1-1-11-1-111-1-1-111-1-11-1-1111-1-11-11-11
χ7111111111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-111-111-1-1-1-1-1-111-11
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111-1-111111-11-11-1
χ91111111111-1-111-1-111-1-1111111-11-1-1-111-111-1-1-1-1-1-11111-111-1-1
χ101111111111-1-111-1-111-1-111-1-1-1-1-11-1-1-111-111-1-11111-1-1-1-1-11-111
χ111111111111-1-111-1-1-1-1-1-11111111-11-1-111-1-1-111-1-1-1-111-1-11-1-111
χ121111111111-1-111-1-1-1-1-1-111-1-1-1-11-11-1-111-1-1-1111111-1-1111-11-1-1
χ131111111111-1-1-1-1111111111111-1-11-1-1-1-1111111-1-11-1-111-1-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-111111-111-111-1-1-1-111-1
χ151111111111-1-1-1-111-1-11111111111-1-1-1-1-11-1-1-1-11-1-11-1-1-1-11111-1
χ161111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-1-1-1-1-111-1111111-1-11
χ1722222-2-222200002-200-2-2-2-222-2-2000000020000-2002000000000
χ1822222-2-222200002-200-2-2-2-2-2-222000000020000200-2000000000
χ1922222-2-22220000-220022-2-222-2-20000000-20000200-2000000000
χ2022222-2-22220000-220022-2-2-2-2220000000-20000-2002000000000
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
χ232222-122-1-1-122-2-2-2-22211-1-100002-2-2-1-1111-1-11100000000-11000
χ242222-122-1-1-122-2-2-2-2-2-211-1-10000-222-1-111111-1-1000000001-1000
χ252222-122-1-1-1-2-222-2-22211-1-10000-22-211-1-11-1-111000000001-1000
χ262222-122-1-1-1-2-222-2-2-2-211-1-100002-2211-1-1111-1-100000000-11000
χ272222-122-1-1-1-2-2-2-22222-1-1-1-10000-2-221111-1-1-1-1-10000000011000
χ282222-122-1-1-1-2-2-2-222-2-2-1-1-1-1000022-21111-1111100000000-1-1000
χ2922-2-222-2-22-2002-2000000-222i−2i2i−2i000002-20000000002i−2i0000000
χ3022-2-222-2-22-2002-2000000-22−2i2i−2i2i000002-2000000000−2i2i0000000
χ3122-2-222-2-22-200-22000000-222i−2i2i−2i00000-22000000000−2i2i0000000
χ3222-2-222-2-22-200-22000000-22−2i2i−2i2i00000-220000000002i−2i0000000
χ3322-2-22-22-22-22i−2i000000002-22i−2i−2i2i0002i−2i000000002-20000000000
χ3422-2-22-22-22-22i−2i000000002-2−2i2i2i−2i0002i−2i00000000-220000000000
χ3522-2-22-22-22-2−2i2i000000002-22i−2i−2i2i000−2i2i00000000-220000000000
χ3622-2-22-22-22-2−2i2i000000002-2−2i2i2i−2i000−2i2i000000002-20000000000
χ374444-2-4-4-2-2-200004-400222200000000000-200000000000000000
χ384444-2-4-4-2-2-20000-4400-2-22200000000000200000000000000000
χ3944-4-4-24-42-22004-40000002-2000000000-22000000000000000000
χ4044-4-4-24-42-2200-440000002-20000000002-2000000000000000000
χ4144-4-4-2-442-224i−4i00000000-220000000−2i2i00000000000000000000
χ4244-4-4-2-442-22−4i4i00000000-2200000002i−2i00000000000000000000
χ434-44-4400-4-440000000000000000000000000000000000−2i22i200000
χ444-44-4400-4-4400000000000000000000000000000000002i2−2i200000
χ454-4-444004-4-4000000−2i22i20000000000000000−2i22i2000000000000000
χ464-4-444004-4-40000002i2−2i200000000000000002i2−2i2000000000000000
χ474-4-44-200-222000000−2i22i2−2i32i300000000000000i2−i26−60000000000000
χ484-4-44-200-222000000−2i22i22i3−2i300000000000000i2−i2−660000000000000
χ494-4-44-200-2220000002i2−2i2−2i32i300000000000000−i2i2−660000000000000
χ504-4-44-200-2220000002i2−2i22i3−2i300000000000000−i2i26−60000000000000
χ518-88-8-40044-400000000000000000000000000000000000000000

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