Finite Group Databasebeta

← Group #85291

Character table — Group #85291

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222333366666688888888888888882424242424242424
order12224444442222444444366612121212121212121212121224444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-1
χ61111-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ71111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ81111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ922222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ112222-2-222-2-22222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000
χ122222-2-2-2-2222222-2-2-2-222-1-1-1-111111111-1-1-1-100000000
χ1322-2-200002i−2i22-2-200002i−2i22-2-2000000002i2i−2i−2i00000000
χ1422-2-200002i−2i22-2-200002i−2i-1-111−i3−i3i3i333−3−3−i−iii00000000
χ1522-2-200002i−2i22-2-200002i−2i-1-111i3i3−i3−i3−3−333−i−iii00000000
χ1622-2-20000−2i2i22-2-20000−2i2i22-2-200000000−2i−2i2i2i00000000
χ1722-2-20000−2i2i22-2-20000−2i2i-1-111−i3−i3i3i3−3−333ii−i−i00000000
χ1822-2-20000−2i2i22-2-20000−2i2i-1-111i3i3−i3−i333−3−3ii−i−i00000000
χ192-22-2002i−2i002-22-2002i−2i002-22-200002i−2i2i−2i000000000000
χ202-22-2002i−2i002-22-2002i−2i00-11-113−33−3−ii−ii−i3i3−i3i300000000
χ212-22-2002i−2i002-22-2002i−2i00-11-11−33−33−ii−iii3−i3i3−i300000000
χ222-22-200−2i2i002-22-200−2i2i002-22-20000−2i2i−2i2i000000000000
χ232-22-200−2i2i002-22-200−2i2i00-11-113−33−3i−ii−ii3−i3i3−i300000000
χ242-22-200−2i2i002-22-200−2i2i00-11-11−33−33i−ii−i−i3i3−i3i300000000
χ252-2-222i−2i00002-2-222i−2i00002-2-222i−2i−2i2i0000000000000000
χ262-2-222i−2i00002-2-222i−2i0000-111-1−iii−i−i3i3i3−i3−333−300000000
χ272-2-222i−2i00002-2-222i−2i0000-111-1−iii−ii3−i3−i3i33−3−3300000000
χ282-2-22−2i2i00002-2-22−2i2i00002-2-22−2i2i2i−2i0000000000000000
χ292-2-22−2i2i00002-2-22−2i2i0000-111-1i−i−ii−i3i3i3−i33−3−3300000000
χ302-2-22−2i2i00002-2-22−2i2i0000-111-1i−i−iii3−i3−i3i3−333−300000000
χ313333333333-1-1-1-1-1-1-1-1-1-100000000000000001111-1-1-1-1
χ323333333333-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-11111
χ33333333-3-3-3-3-1-1-1-1-1-11111000000000000000011-1-1-1-111
χ34333333-3-3-3-3-1-1-1-1-1-111110000000000000000-1-11111-1-1
χ353333-3-333-3-3-1-1-1-111-1-11100000000000000001-11-1-11-11
χ363333-3-333-3-3-1-1-1-111-1-1110000000000000000-11-111-11-1
χ373333-3-3-3-333-1-1-1-11111-1-100000000000000001-1-11-111-1
χ383333-3-3-3-333-1-1-1-11111-1-10000000000000000-111-11-1-11
χ3966-6-600006i−6i-2-2220000−2i2i000000000000000000000000
χ4066-6-60000−6i6i-2-22200002i−2i000000000000000000000000
χ416-66-6006i−6i00-22-2200−2i2i00000000000000000000000000
χ426-66-600−6i6i00-22-22002i−2i00000000000000000000000000
χ436-6-666i−6i0000-222-2−2i2i0000000000000000000000000000
χ446-6-66−6i6i0000-222-22i−2i0000000000000000000000000000

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