Finite Group Databasebeta

← Group #80073

Character table — Group #80073

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order12223446662224448812121212444424666812122424242444444488612248
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111-1-111111111-1-1111-111-1-1-1-1111111-1-1-1-1-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111-1-1-1-111-1-1111111-1111-1-1-1-111-1-1-111-1-1-111-111-1-1
χ6111111111111-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-111-1-11-1-1111-1-1-11-111
χ7111111111111-1-1-1-1-1-1-1-11111111-111-11-1-1-1-111-111-1-1-1-1-11-1-111
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-11-1-1-1-1111-1-1111111-11-1-1
χ91111111111-1-111-1-11111111111-1-1-1-111-1-111111-1-11-1-111-1-1-1-11
χ101111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-111-111-1-1-1-111-1
χ111111111111-1-111-1-1-1-11111111111-1-11-1-1-1-1-1-1-11-1-11-1-1-1-11111-1
χ121111111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1111111-1-11
χ131111111111-1-1-1-11111-1-11111111-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1
χ141111111111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-11111-1-11111-1-1-1-11-11-11
χ151111111111-1-1-1-111-1-1-1-1111111-11-1-1-1111-1-111-1-1-1-111-1-1-111-11
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1-1111-1-1111111-1-111-11-11-1
χ1722222-2-2222002-20000-2-2-2-222-2-2000020000000-2002000000000
χ1822222-2-2222002-20000-2-2-2-2-2-222000020000000200-2000000000
χ1922222-2-222200-22000022-2-222-2-20000-20000000200-2000000000
χ2022222-2-222200-22000022-2-2-2-2220000-20000000-2002000000000
χ212222-122-1-1-122222222-1-1-1-1000022-1-1-12-1-1-1-1-1-100000000-1-1000
χ222222-122-1-1-1222222-2-2-1-1-1-10000-2-2-1-1-1-2-1-111110000000011000
χ232222-122-1-1-122-2-2-2-22211-1-10000-22-1-11-211-1-111000000001-1000
χ242222-122-1-1-122-2-2-2-2-2-211-1-100002-2-1-1121111-1-100000000-11000
χ252222-122-1-1-1-2-222-2-222-1-1-1-10000-2-211-1211-1-1-1-10000000011000
χ262222-122-1-1-1-2-222-2-2-2-2-1-1-1-100002211-1-211111100000000-1-1000
χ272222-122-1-1-1-2-2-2-2222211-1-100002-2111-2-1-1-1-11100000000-11000
χ282222-122-1-1-1-2-2-2-222-2-211-1-10000-221112-1-111-1-1000000001-1000
χ2922-2-222-2-2-2200002-200002-22i−2i2i−2i0000002-2000000002i−2i0000000
χ3022-2-222-2-2-2200002-200002-2−2i2i−2i2i0000002-200000000−2i2i0000000
χ3122-2-222-2-2-220000-2200002-22i−2i2i−2i000000-2200000000−2i2i0000000
χ3222-2-222-2-2-220000-2200002-2−2i2i−2i2i000000-22000000002i−2i0000000
χ3322-2-22-22-2-222-200000000-222i−2i−2i2i002-20000000002i−2i0000000000
χ3422-2-22-22-2-222-200000000-22−2i2i2i−2i002-2000000000−2i2i0000000000
χ3522-2-22-22-2-22-2200000000-222i−2i−2i2i00-22000000000−2i2i0000000000
χ3622-2-22-22-2-22-2200000000-22−2i2i2i−2i00-220000000002i−2i0000000000
χ374444-2-4-4-2-2-2004-40000222200000000-200000000000000000000
χ384444-2-4-4-2-2-200-440000-2-22200000000200000000000000000000
χ3944-4-4-24-422-200004-40000-220000000000-2200000000000000000
χ4044-4-4-24-422-20000-440000-2200000000002-200000000000000000
χ4144-4-4-2-4422-24-4000000002-2000000-22000000000000000000000
χ4244-4-4-2-4422-2-44000000002-20000002-2000000000000000000000
χ434-44-44004-4-4000000−2i22i20000000000000000−2i22i2000000000000000
χ444-44-44004-4-40000002i2−2i200000000000000002i2−2i2000000000000000
χ454-44-4-200-222000000−2i22i223−2300000000000000i2−i2i6−i60000000000000
χ464-44-4-200-222000000−2i22i2−232300000000000000i2−i2−i6i60000000000000
χ474-44-4-200-2220000002i2−2i223−2300000000000000−i2i2−i6i60000000000000
χ484-44-4-200-2220000002i2−2i2−232300000000000000−i2i2i6−i60000000000000
χ494-4-44400-44-4000000000000000000000000000000000022−2200000
χ504-4-44400-44-40000000000000000000000000000000000−222200000
χ518-8-88-4004-4400000000000000000000000000000000000000000

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