Finite Group Databasebeta

← Group #81521

Character table — Group #81521

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order12223446662444448812121212224444681212121224242424244444881212248
χ1111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111-1-111111111-1-11-11111-1-1-1-1111111-1-1-1-1-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1111
χ5111111111111-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11
χ6111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1
χ7111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1
χ8111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-11
χ91111111111-1-111-1-111-1-11111111-1-1-1-1-11111-1-1-1-111-1-1111-11-1-1
χ101111111111-1-111-1-111-1-111-1-1-1-11-1-1-1-1-11111-1-111-1-111-1-11-1-111
χ111111111111-1-111-1-1-1-1-1-1111111-11-11-1-111-1-111-1-111-1-1-1-1-11-111
χ121111111111-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-11111-111-1-1
χ131111111111-1-1-1-11111-1-1111111-11-1-111-1-111-1-1-1-1-1-11111-11-11-1
χ141111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-1-111-11
χ151111111111-1-1-1-111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-111-1-11-11-11
χ161111111111-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1111111-1-1111-1-11-1
χ1722222-2-22222-2000000-2-2-2-222-2-2002000000000-2200000000000
χ1822222-2-22222-2000000-2-2-2-2-2-2220020000000002-200000000000
χ1922222-2-2222-2200000022-2-222-2-200-20000000002-200000000000
χ2022222-2-2222-2200000022-2-2-2-22200-2000000000-2200000000000
χ212222-122-1-1-122222222-1-1-1-1000022-12-1-1-1-1-1-1-1-100000000-1-1000
χ222222-122-1-1-1222222-2-2-1-1-1-10000-2-2-1-2-1-1-1-111110000000011000
χ232222-122-1-1-122-2-2-2-222-1-1-1-10000-2-2-121111-1-1-1-10000000011000
χ242222-122-1-1-122-2-2-2-2-2-2-1-1-1-1000022-1-21111111100000000-1-1000
χ252222-122-1-1-1-2-222-2-22211-1-100002-21-211-1-1-1-11100000000-11000
χ262222-122-1-1-1-2-222-2-2-2-211-1-10000-221211-1-111-1-1000000001-1000
χ272222-122-1-1-1-2-2-2-2222211-1-10000-221-2-1-111-1-111000000001-1000
χ282222-122-1-1-1-2-2-2-222-2-211-1-100002-212-1-11111-1-100000000-11000
χ2922-2-222-2-22-200002i−2i00002-22-22-200002i−2i00000000002i−2i0000000
χ3022-2-222-2-22-200002i−2i00002-2-22-2200002i−2i0000000000−2i2i0000000
χ3122-2-222-2-22-20000−2i2i00002-22-22-20000−2i2i0000000000−2i2i0000000
χ3222-2-222-2-22-20000−2i2i00002-2-22-220000−2i2i00000000002i−2i0000000
χ3322-2-22-22-22-2002i−2i000000-222-2-220000002i−2i0000002i−2i000000000
χ3422-2-22-22-22-2002i−2i000000-22-222-20000002i−2i000000−2i2i000000000
χ3522-2-22-22-22-200−2i2i000000-222-2-22000000−2i2i000000−2i2i000000000
χ3622-2-22-22-22-200−2i2i000000-22-222-2000000−2i2i0000002i−2i000000000
χ374444-2-4-4-2-2-24-40000002222000000-20000000000000000000000
χ384444-2-4-4-2-2-2-44000000-2-22200000020000000000000000000000
χ3944-4-4-24-42-2200004i−4i0000-2200000000−2i2i0000000000000000000
χ4044-4-4-24-42-220000−4i4i0000-22000000002i−2i0000000000000000000
χ4144-4-4-2-442-22004i−4i0000002-20000000000−2i2i00000000000000000
χ4244-4-4-2-442-2200−4i4i0000002-200000000002i−2i00000000000000000
χ434-44-4400-4-44000000−2i22i20000000000000000−2i22i2000000000000000
χ444-44-4400-4-440000002i2−2i200000000000000002i2−2i2000000000000000
χ454-44-4-20022-2000000−2i22i223−2300000000000000i2−i2i6−i60000000000000
χ464-44-4-20022-2000000−2i22i2−232300000000000000i2−i2−i6i60000000000000
χ474-44-4-20022-20000002i2−2i223−2300000000000000−i2i2−i6i60000000000000
χ484-44-4-20022-20000002i2−2i2−232300000000000000−i2i2i6−i60000000000000
χ494-4-444004-4-40000000000000000000000000000000000−2i22i200000
χ504-4-444004-4-400000000000000000000000000000000002i2−2i200000
χ518-8-88-400-44400000000000000000000000000000000000000000

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