Finite Group Databasebeta

← Group #69021

Character table — Group #69021

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order12222344446121266612121244888812121212242424242424242422448888
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ9222222-2-2-2-22-2-2222-2-2-2002i−2i0000002i2i−2i−2i000000000000
χ10222222-2-2-2-22-2-2222-2-2-200−2i2i000000−2i−2i2i2i000000000000
χ1122222-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1322222-12222-1-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1422222-12222-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ1522222-1-2-2-2-2-111-1-1-1111002i−2i00−i3−i3i3i3−i−iii33−3−300000000
χ1622222-1-2-2-2-2-111-1-1-1111002i−2i00i3i3−i3−i3−i−iii−3−33300000000
χ1722222-1-2-2-2-2-111-1-1-111100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000
χ1822222-1-2-2-2-2-111-1-1-111100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000
χ19222-2-222-2-222-2-22-2-22-222i−2i00002i−2i2i−2i0000000000000000
χ20222-2-222-2-222-2-22-2-22-22−2i2i0000−2i2i−2i2i0000000000000000
χ21222-2-22-222-22222-2-2-22-200002i−2i000000002i−2i2i−2i00000000
χ22222-2-22-222-22222-2-2-22-20000−2i2i00000000−2i2i−2i2i00000000
χ23222-2-2-12-2-22-111-111-11-12i−2i0000−ii−ii3−33−3−i3i3i3−i300000000
χ24222-2-2-12-2-22-111-111-11-12i−2i0000−ii−ii−33−33i3−i3−i3i300000000
χ25222-2-2-12-2-22-111-111-11-1−2i2i0000i−ii−i3−33−3i3−i3−i3i300000000
χ26222-2-2-12-2-22-111-111-11-1−2i2i0000i−ii−i−33−33−i3i3i3−i300000000
χ27222-2-2-1-222-2-1-1-1-1111-1100002i−2i3−3−33i3−i3−i3i3−ii−ii00000000
χ28222-2-2-1-222-2-1-1-1-1111-1100002i−2i−333−3−i3i3i3−i3−ii−ii00000000
χ29222-2-2-1-222-2-1-1-1-1111-110000−2i2i3−3−33−i3i3i3−i3i−ii−i00000000
χ30222-2-2-1-222-2-1-1-1-1111-110000−2i2i−333−3i3−i3−i3i3i−ii−i00000000
χ3122-22-2222-2-2222-2-222-2-2000000000000000000002i−2i0000
χ3222-22-2222-2-2222-2-222-2-200000000000000000000−2i2i0000
χ3322-22-22-2-2222-2-2-2-22-22200000000000000000000002-200
χ3422-22-22-2-2222-2-2-2-22-2220000000000000000000000-2200
χ3522-2-2222-22-22-2-2-22-222-20000000000000000000000002i−2i
χ3622-2-2222-22-22-2-2-22-222-2000000000000000000000000−2i2i
χ3722-2-222-22-22222-22-2-2-220000000000000000002-2000000
χ3822-2-222-22-22222-22-2-2-22000000000000000000-22000000
χ3944-44-4-244-4-4-2-2-222-2-22200000000000000000000000000
χ4044-44-4-2-4-444-22222-22-2-200000000000000000000000000
χ4144-4-44-24-44-4-2222-22-2-2200000000000000000000000000
χ4244-4-44-2-44-44-2-2-22-2222-200000000000000000000000000
χ438-800080000-80000000000000000000000000000000000
χ448-8000-40000443−4300000000000000000000000000000000
χ458-8000-400004−434300000000000000000000000000000000

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