Finite Group Databasebeta

← Group #70352

Character table — Group #70352

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order1222234444666661212121244448812121212121212122424242424888888
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ4111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ51111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ9222222-2-2-2-222222-2-2-2-200000000000000000000002i−2i00
χ10222222-2-2-2-222222-2-2-2-20000000000000000000000−2i2i00
χ1122222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-222-2-2-1-1-1-11111111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ15222-2-2222-2-2-2-222-222-2-200002i−2i000000002i2i−2i−2i00000000
χ16222-2-2222-2-2-2-222-222-2-20000−2i2i00000000−2i−2i2i2i00000000
χ17222-2-22-2-222-2-222-2-2-2220000000000000000002-2000000
χ18222-2-22-2-222-2-222-2-2-222000000000000000000-22000000
χ19222-2-2-122-2-211-1-11-1-11100002i−2i33−3−3−i3−i3i3i3−i−iii00000000
χ20222-2-2-122-2-211-1-11-1-11100002i−2i−3−333i3i3−i3−i3−i−iii00000000
χ21222-2-2-122-2-211-1-11-1-1110000−2i2i33−3−3i3i3−i3−i3ii−i−i00000000
χ22222-2-2-122-2-211-1-11-1-1110000−2i2i−3−333−i3−i3i3i3ii−i−i00000000
χ2322-22-222-22-2-2-22-222-22-2002i−2i002i−2i2i−2i0000000000000000
χ2422-22-222-22-2-2-22-222-22-200−2i2i00−2i2i−2i2i0000000000000000
χ2522-22-22-22-22-2-22-22-22-220000000000000000000000002-2
χ2622-22-22-22-22-2-22-22-22-22000000000000000000000000-22
χ2722-22-2-12-22-211-11-1-11-11002i−2i00−ii−ii−i3i3−i3i33−33−300000000
χ2822-22-2-12-22-211-11-1-11-11002i−2i00−ii−iii3−i3i3−i3−33−3300000000
χ2922-22-2-12-22-211-11-1-11-1100−2i2i00i−ii−i−i3i3−i3i3−33−3300000000
χ3022-22-2-12-22-211-11-1-11-1100−2i2i00i−ii−ii3−i3i3−i33−33−300000000
χ3122-2-2222-2-22222-2-22-2-222-2000000002-2-22000000000000
χ3222-2-2222-2-22222-2-22-2-22-2200000000-222-2000000000000
χ3322-2-222-222-2222-2-2-222-2000000000000000000002-20000
χ3422-2-222-222-2222-2-2-222-200000000000000000000-220000
χ3522-2-22-12-2-22-1-1-111-111-12-20000−i3i3i3−i3-111-1−i3i3i3−i300000000
χ3622-2-22-12-2-22-1-1-111-111-12-20000i3−i3−i3i3-111-1i3−i3−i3i300000000
χ3722-2-22-12-2-22-1-1-111-111-1-220000−i3i3i3−i31-1-11i3−i3−i3i300000000
χ3822-2-22-12-2-22-1-1-111-111-1-220000i3−i3−i3i31-1-11−i3i3i3−i300000000
χ3944444-2-4-4-4-4-2-2-2-2-2222200000000000000000000000000
χ40444-4-4-2-4-44422-2-2222-2-200000000000000000000000000
χ4144-44-4-2-44-4422-22-22-22-200000000000000000000000000
χ4244-4-44-2-444-4-2-2-2222-2-2200000000000000000000000000
χ438-80008000000-800000000000000000000000000000000
χ448-8000-40000−4i34i3400000000000000000000000000000000
χ458-8000-400004i3−4i3400000000000000000000000000000000

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