Finite Group Databasebeta

← Group #85544

Character table — Group #85544

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1111224466668888121212121212161616161616242424242424
order124424242244361212244444666121212248888
χ11111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3111111-1-111111111-1-111111-1-11-1-1-1-111-1-1
χ4111111-1-111111111-1-1-1-1-1-11-1-11-1-111-1-111
χ511-1-1-111-1-11-1111-1-1-1111-1-1-1111-1-11-11-11-1
χ611-1-1-111-1-11-1111-1-1-11-1-111-1111-1-1-11-11-11
χ711-1-1-11-11-11-1111-1-11-111-1-1-1-1-1111-111-1-11
χ811-1-1-11-11-11-1111-1-11-1-1-111-1-1-11111-1-111-1
χ9222222222222-1-1-1-1220000-1-1-1-1-1-1000000
χ10222222-2-22222-1-1-1-1-2-20000-111-111000000
χ112222-2-2002-2-222222000000-200-200000000
χ122222-2-2002-2-22-1-1-1-10000001−i3i31−i3i3000000
χ132222-2-2002-2-22-1-1-1-10000001i3−i31i3−i3000000
χ1422-2-22-200-2-22222-2-2000000200-200000000
χ1522-2-22-200-2-222-1-111000000-1−i3i31i3−i3000000
χ1622-2-22-200-2-222-1-111000000-1i3−i31−i3i3000000
χ1722-2-2-222-2-22-22-1-111-2200001-1-1-111000000
χ1822-2-2-22-22-22-22-1-1112-20000111-1-1-1000000
χ1933333333-1-1-1-10000-1-11111000000-1-1-1-111
χ2033333333-1-1-1-10000-1-1-1-1-1-10000001111-1-1
χ21333333-3-3-1-1-1-1000011111100000011-1-1-1-1
χ22333333-3-3-1-1-1-1000011-1-1-1-1000000-1-11111
χ2333-3-3-333-31-11-100001-111-1-1000000-11-111-1
χ2433-3-3-333-31-11-100001-1-1-1110000001-11-1-11
χ2533-3-3-33-331-11-10000-1111-1-10000001-1-11-11
χ2633-3-3-33-331-11-10000-11-1-111000000-111-11-1
χ274-44i−4i00000000-222i−2i002i−2i2-2000000000000
χ284-44i−4i00000000-222i−2i00−2i2i-22000000000000
χ294-4−4i4i00000000-22−2i2i002i−2i-22000000000000
χ304-4−4i4i00000000-22−2i2i00−2i2i2-2000000000000
χ316666-6-600-222-20000000000000000000000
χ3266-6-66-60022-2-20000000000000000000000
χ338-88i−8i000000002-2−2i2i000000000000000000
χ348-8−8i8i000000002-22i−2i000000000000000000

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