Finite Group Databasebeta

← Group #68950

Character table — Group #68950

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order122222222366666666644444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ9222222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ11222222222-1-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ12222222222-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ132222-22-2-2-222222-2-2-22-20000000000000000000000002i−2i
χ142222-22-2-2-222222-2-2-22-2000000000000000000000000−2i2i
χ15222-22-22-2-22222-22-2-2-22000000000000000000002i−2i0000
χ16222-22-22-2-22222-22-2-2-2200000000000000000000−2i2i0000
χ17222-2-2-2-2222222-2-222-2-2002i−2i0000002i2i−2i−2i000000000000
χ18222-2-2-2-2222222-2-222-2-200−2i2i000000−2i−2i2i2i000000000000
χ19222-2-2-2-222-1-1-1-111-1-111002i−2i00−i3−i3i3i3−i−iii33−3−300000000
χ20222-2-2-2-222-1-1-1-111-1-111002i−2i00i3i3−i3−i3−i−iii−3−33300000000
χ21222-2-2-2-222-1-1-1-111-1-11100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000
χ22222-2-2-2-222-1-1-1-111-1-11100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000
χ2322-222-2-22-222-2-2-2-22-2220000000000000000002i−2i000000
χ2422-222-2-22-222-2-2-2-22-222000000000000000000−2i2i000000
χ2522-22-2-22-2222-2-2-22-222-200002i−2i000000002i−2i2i−2i00000000
χ2622-22-2-22-2222-2-2-22-222-20000−2i2i00000000−2i2i−2i2i00000000
χ2722-22-2-22-22-1-1111-11-1-1100002i−2i3−33−3−i3i3−i3i3−ii−ii00000000
χ2822-22-2-22-22-1-1111-11-1-1100002i−2i−33−33i3−i3i3−i3−ii−ii00000000
χ2922-22-2-22-22-1-1111-11-1-110000−2i2i3−33−3i3−i3i3−i3i−ii−i00000000
χ3022-22-2-22-22-1-1111-11-1-110000−2i2i−33−33−i3i3−i3i3i−ii−i00000000
χ3122-2-222-2-2222-2-22-2-22-222i−2i00002i−2i−2i2i0000000000000000
χ3222-2-222-2-2222-2-22-2-22-22−2i2i0000−2i2i2i−2i0000000000000000
χ3322-2-222-2-22-1-111-111-11-12i−2i0000−iii−i3−3−33i3−i3−i3i300000000
χ3422-2-222-2-22-1-111-111-11-12i−2i0000−iii−i−333−3−i3i3i3−i300000000
χ3522-2-222-2-22-1-111-111-11-1−2i2i0000i−i−ii3−3−33−i3i3i3−i300000000
χ3622-2-222-2-22-1-111-111-11-1−2i2i0000i−i−ii−333−3i3−i3−i3i300000000
χ3722-2-2-2222-222-2-2222-2-2-200000000000000000000002i−2i00
χ3822-2-2-2222-222-2-2222-2-2-20000000000000000000000−2i2i00
χ394444-44-4-4-4-2-2-2-2-2222-2200000000000000000000000000
χ40444-44-44-4-4-2-2-2-22-2222-200000000000000000000000000
χ4144-444-4-44-4-2-22222-22-2-200000000000000000000000000
χ4244-4-4-4444-4-2-222-2-2-222200000000000000000000000000
χ438-800000008-80000000000000000000000000000000000
χ448-80000000-44−4i34i300000000000000000000000000000000
χ458-80000000-444i3−4i300000000000000000000000000000000

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