Finite Group Databasebeta

← Group #80937

Character table — Group #80937

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122222223344444444446666688888888812121212121616161624242424
order1223446884424688812122424224882268812242424248886624244488
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1
χ311111111111-1-111-1-111111111111-1-1-1-11-1-1-1-11-1-111-1-111-1-1
χ411111111111-1-111-1-1111111111-1-1-111-11-1-1-1-11-1-1-1-111-1-111
χ5111111111-1-11111111111-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1-1
χ6111111111-1-11111111111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1-1-111-1-11111-1-1-1-1-111-1-1-1-11-1-111-11111-1-1-1-111
χ8111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-111-111-1-11111-1-1
χ91111111-1-111111-1-1-111-1-1111-1-11-111-11-1-1-111-1-1-11-11-11-11-1
χ101111111-1-111111-1-1-111-1-1111-1-1-111-111-1-1-111-1-1-1-11-11-11-11
χ111111111-1-111-1-11-11111-1-1111-1-11-1-1-11-1-111-1-1-1111-1-111-1-11
χ121111111-1-111-1-11-11111-1-1111-1-1-11-11-1-1-111-1-1-111-111-1-111-1
χ131111111-1-1-1-1111-1-1-111-1-1-1-1-1111-111-11-1-1-1-1-11111-11-1-11-11
χ141111111-1-1-1-1111-1-1-111-1-1-1-1-111-111-111-1-1-1-1-1111-11-111-11-1
χ151111111-1-1-1-1-1-11-11111-1-1-1-1-1111-1-1-11-1-111111-1-11-1-11-111-1
χ161111111-1-1-1-1-1-11-11111-1-1-1-1-111-11-11-1-1-111111-1-1-111-11-1-11
χ172222-2-22002200202i−2i-2-200-2-220000000002i−2i0002i−2i00000000
χ182222-2-2200220020−2i2i-2-200-2-22000000000−2i2i000−2i2i00000000
χ192222-2-2200-2-200202i−2i-2-20022-20000000002i−2i000−2i2i00000000
χ202222-2-2200-2-20020−2i2i-2-20022-2000000000−2i2i0002i−2i00000000
χ21222-122-1220022-1222-1-1-1-10000022-122-1-1-1-100000-1-1-1-10000
χ22222-122-1220022-1222-1-1-1-100000-2-2-1-2-2-1-1-1-10000011110000
χ23222-122-12200-2-2-12-2-2-1-1-1-100000221-2-21-11100000-1-1110000
χ24222-122-12200-2-2-12-2-2-1-1-1-100000-2-21221-1110000011-1-10000
χ25222-122-1-2-20022-1-2-2-2-1-111000002-2-12-2-111100000-11-110000
χ26222-122-1-2-20022-1-2-2-2-1-11100000-22-1-22-1111000001-11-10000
χ27222-122-1-2-200-2-2-1-222-1-111000002-21-2211-1-100000-111-10000
χ28222-122-1-2-200-2-2-1-222-1-11100000-2212-211-1-1000001-1-110000
χ2922-222-2200222-2-20002-2002-2-20000200-2000-2200000000000
χ3022-222-220022-22-20002-2002-2-20000-20020002-200000000000
χ3122-222-2200-2-22-2-20002-200-2220000200-20002-200000000000
χ3222-222-2200-2-2-22-20002-200-2220000-2002000-2200000000000
χ3322-22-222222200-2-200-2222-22-222000000-20000-20000000000
χ3422-22-22222-2-200-2-200-22222-22-2-2000000-2000020000000000
χ3522-22-222-2-22200-2200-22-2-2-22-2-2-20000002000020000000000
χ3622-22-222-2-2-2-200-2200-22-2-22-222200000020000-20000000000
χ37444-2-4-4-2000000-204i−4i2200000000000000−2i2i0000000000000
χ38444-2-4-4-2000000-20−4i4i22000000000000002i−2i0000000000000
χ3944-4-24-4-200004-42000-22000000000-20020000000000000000
χ4044-4-24-4-20000-442000-22000000000200-20000000000000000
χ4144-4-2-44-24400002-4002-2-2-2000000000002000000000000000
χ4244-4-2-44-2-4-4000024002-22200000000000-2000000000000000
χ434-40400-422−224i−4i0000000022−220002i2−2i20000000000000000000000
χ444-40400-422−22−4i4i0000000022−22000−2i22i20000000000000000000000
χ454-40400-4−22224i−4i00000000−2222000−2i22i20000000000000000000000
χ464-40400-4−2222−4i4i00000000−22220002i2−2i20000000000000000000000
χ478-80-400442−420000000000−2222000000000000000000000000000
χ488-80-4004−4242000000000022−22000000000000000000000000000

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