Finite Group Databasebeta

← Group #80430

Character table — Group #80430

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size1111222222444444444444666688888888888812121212121212121616242424
order1222344666224444881212121222444466812121224242424224444881212248
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
χ5111111111111-1-1-1-111-1-11111111-111-1-1-1-111-1-111-1-1-1-1111-1-11-1
χ6111111111111-1-1-1-111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-11111-1-11-11-11
χ7111111111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1-11111-1-1-1-1-1-1-111-11
χ8111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1111111-11-11-1
χ91111111111-1-111-1-111-1-1111111-11-1-1-1-11111-1-1-1-1-111-111-111-1-1
χ101111111111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-11111-1-1111-1-11-1-1-11-111
χ111111111111-1-111-1-1-1-1-1-11111111-1-1-11-111-1-111-1-1-111-1-1-11-1-111
χ121111111111-1-111-1-1-1-1-1-111-1-1-1-11-1-1-11-111-1-111111-1-11111-11-1-1
χ131111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-11-1-1111-1-1-1-11
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-111-1
χ151111111111-1-1-1-111-1-11111111111-1-1-11-1-1-1-1-1-1-1-11-1-11-1-11111-1
χ161111111111-1-1-1-111-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-111-111-11111-1-11
χ1722222-2-222200002-20022-2-222-2-200000-200000000-20020000000
χ1822222-2-222200002-20022-2-2-2-22200000-200000000200-20000000
χ1922222-2-22220000-2200-2-2-2-222-2-200000200000000200-20000000
χ2022222-2-22220000-2200-2-2-2-2-2-22200000200000000-20020000000
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
χ232222-122-1-1-122-2-2-2-22211-1-100002-2-1-1-2111-1-11100000000-11000
χ242222-122-1-1-122-2-2-2-2-2-211-1-10000-22-1-1211111-1-1000000001-1000
χ252222-122-1-1-1-2-222-2-22211-1-10000-2211-21-1-1-1-111000000001-1000
χ262222-122-1-1-1-2-222-2-2-2-211-1-100002-21121-1-111-1-100000000-11000
χ272222-122-1-1-1-2-2-2-22222-1-1-1-10000-2-2112-111-1-1-1-10000000011000
χ282222-122-1-1-1-2-2-2-222-2-2-1-1-1-100002211-2-111111100000000-1-1000
χ292-2-2222-2-2-22002i−2i0000002-22-22-20000002i−2i00000002i−2i00000000
χ302-2-2222-2-2-22002i−2i0000002-2-22-220000002i−2i0000000−2i2i00000000
χ312-2-2222-2-2-2200−2i2i0000002-22-22-2000000−2i2i0000000−2i2i00000000
χ322-2-2222-2-2-2200−2i2i0000002-2-22-22000000−2i2i00000002i−2i00000000
χ332-2-222-22-2-222-200000000-222-2-22002-2000000002-200000000000
χ342-2-222-22-2-222-200000000-22-222-2002-200000000-2200000000000
χ352-2-222-22-2-22-2200000000-222-2-2200-2200000000-2200000000000
χ362-2-222-22-2-22-2200000000-22-222-200-22000000002-200000000000
χ374444-2-4-4-2-2-200004-400-2-22200000000020000000000000000000
χ384444-2-4-4-2-2-20000-44002222000000000-20000000000000000000
χ3944-4-4400-44-4000000−2i22i20000000000000000−2i22i2000000000000000
χ4044-4-4400-44-40000002i2−2i200000000000000002i2−2i2000000000000000
χ4144-4-4-2002-22000000−2i22i2−2i32i300000000000000i2−i26−60000000000000
χ4244-4-4-2002-22000000−2i22i22i3−2i300000000000000i2−i2−660000000000000
χ4344-4-4-2002-220000002i2−2i2−2i32i300000000000000−i2i2−660000000000000
χ4444-4-4-2002-220000002i2−2i22i3−2i300000000000000−i2i26−60000000000000
χ454-44-44004-4-40000000000000000000000000000000000−2i22i200000
χ464-44-44004-4-400000000000000000000000000000000002i2−2i200000
χ474-4-44-24-422-2004i−4i000000-220000000000−2i2i00000000000000000
χ484-4-44-24-422-200−4i4i000000-2200000000002i−2i00000000000000000
χ494-4-44-2-4422-24-4000000002-2000000-22000000000000000000000
χ504-4-44-2-4422-2-44000000002-20000002-2000000000000000000000
χ518-88-8-400-44400000000000000000000000000000000000000000

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