Finite Group Databasebeta

← Group #70730

Character table — Group #70730

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11222222222224444448888888888888888882424242424242424
order12222344446121266612121288888824242424242424242424242422888888
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
χ9222222-2-2-2-22-2-2222-2-2-20000000000000000002-2000000
χ10222222-2-2-2-22-2-2222-2-2-2000000000000000000-22000000
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
χ15222-2-2222-2-22222-2-22-2-20000000000000000000000002i−2i
χ16222-2-2222-2-22222-2-22-2-2000000000000000000000000−2i2i
χ17222-2-22-2-2222-2-22-2-2-22200002-20000000022-2-200000000
χ18222-2-22-2-2222-2-22-2-2-2220000-2200000000-2-22200000000
χ19222-2-2-1-2-222-111-1111-1-100002-233−3−333−3−3-1-11100000000
χ20222-2-2-1-2-222-111-1111-1-100002-2−3−333−3−333-1-11100000000
χ21222-2-2-1-2-222-111-1111-1-10000-2233−3−3−3−33311-1-100000000
χ22222-2-2-1-2-222-111-1111-1-10000-22−3−33333−3−311-1-100000000
χ2322-22-222-22-22-2-2-22-22-22002i−2i0000002i−2i2i−2i000000000000
χ2422-22-222-22-22-2-2-22-22-2200−2i2i000000−2i2i−2i2i000000000000
χ2522-22-22-22-22222-22-2-22-200000000000000000000002-200
χ2622-22-22-22-22222-22-2-22-20000000000000000000000-2200
χ2722-22-2-12-22-2-1111-11-11-1002i−2i003−33−3−ii−ii−i3i3−i3i300000000
χ2822-22-2-12-22-2-1111-11-11-1002i−2i00−33−33−ii−iii3−i3i3−i300000000
χ2922-22-2-12-22-2-1111-11-11-100−2i2i003−33−3i−ii−ii3−i3i3−i300000000
χ3022-22-2-12-22-2-1111-11-11-100−2i2i00−33−33i−ii−i−i3i3−i3i300000000
χ3122-2-2222-2-222-2-2-2-2222-2000000000000000000002i−2i0000
χ3222-2-2222-2-222-2-2-2-2222-200000000000000000000−2i2i0000
χ3322-2-222-222-2222-2-22-2-222-200002-2-220000000000000000
χ3422-2-222-222-2222-2-22-2-22-220000-222-20000000000000000
χ3522-2-22-1-222-2-1-1-111-111-12-20000-111-1−i3i3i3−i3−i3i3i3−i300000000
χ3622-2-22-1-222-2-1-1-111-111-12-20000-111-1i3−i3−i3i3i3−i3−i3i300000000
χ3722-2-22-1-222-2-1-1-111-111-1-2200001-1-11−i3i3i3−i3i3−i3−i3i300000000
χ3822-2-22-1-222-2-1-1-111-111-1-2200001-1-11i3−i3−i3i3−i3i3i3−i300000000
χ3944444-2-4-4-4-4-222-2-2-222200000000000000000000000000
χ40444-4-4-244-4-4-2-2-2-222-22200000000000000000000000000
χ4144-44-4-2-44-44-2-2-22-222-2200000000000000000000000000
χ4244-4-44-24-4-44-22222-2-2-2200000000000000000000000000
χ438-800080000-80000000000000000000000000000000000
χ448-8000-40000443−4300000000000000000000000000000000
χ458-8000-400004−434300000000000000000000000000000000

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