Finite Group Databasebeta

← Group #72344103

Character table — Group #72344103

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111226688881212121212242424243232323232323232323232323232323248484848484848484896969696
order12222222222222244244436666666666666662444444444488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1
χ311111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-111
χ411111111-1-1-1-11111111-1-111111111-1-1-1-1-1-1-1-1-1-111-11-1-1111-1-1
χ51111-1-11111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-1-11-1-1-1111-11-1
χ61111-1-11111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-11-11
χ71111-1-111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1111-1-111-1
χ81111-1-111-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-111-1-11
χ9222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002000000
χ1022222222-2-2-2-22222222-2-2-1-1-1-1-1-1-1-111111111000000-2000000
χ112222-2-22222-2-2-22222-2-222-1-1-1-11111-1-1-1-11111000000-2000000
χ122222-2-222-2-222-22222-2-2-2-2-1-1-1-111111111-1-1-1-10000002000000
χ132-2-2200-222-20002-22-2002-222-2-2000022-2-200000000000000000
χ142-2-2200-222-20002-22-2002-2-1-111i3i3−i3−i3-1-111i3i3−i3−i30000000000000
χ152-2-2200-222-20002-22-2002-2-1-111−i3−i3i3i3-1-111−i3−i3i3i30000000000000
χ162-2-2200-22-220002-22-200-2222-2-20000-2-22200000000000000000
χ172-2-2200-22-220002-22-200-22-1-111i3i3−i3−i311-1-1−i3−i3i3i30000000000000
χ182-2-2200-22-220002-22-200-22-1-111−i3−i3i3i311-1-1i3i3−i3−i30000000000000
χ193333333333333-1-1-1-1-1-1-1-10000000000000000111111-111-1-1-1-1
χ203333333333333-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-11111
χ2133333333-3-3-3-33-1-1-1-1-1-111000000000000000011-1-11-111-111-1-1
χ2233333333-3-3-3-33-1-1-1-1-1-1110000000000000000-1-111-111-11-1-111
χ233333-3-33333-3-3-3-1-1-1-111-1-100000000000000001-1-11-1-1111-11-11
χ243333-3-33333-3-3-3-1-1-1-111-1-10000000000000000-111-1111-1-11-11-1
χ253333-3-333-3-333-3-1-1-1-1111100000000000000001-11-1-11-11-11-1-11
χ263333-3-333-3-333-3-1-1-1-111110000000000000000-11-111-1-1-11-111-1
χ27666666-2-20000-222-2-22-200000000000000000000220-200-20000
χ28666666-2-20000-222-2-22-200000000000000000000-2-2020020000
χ29666666-2-20000-2-2-222-220000000000000000002200-200-200000
χ30666666-2-20000-2-2-222-22000000000000000000-2-200200200000
χ316666-6-6-2-20000222-2-2-22000000000000000000002-20-20020000
χ326666-6-6-2-20000222-2-2-2200000000000000000000-220200-20000
χ336666-6-6-2-200002-2-2222-20000000000000000002-200200-200000
χ346666-6-6-2-200002-2-2222-2000000000000000000-2200-200200000
χ356-6-6600-666-6000-22-2200-2200000000000000000000000000000
χ366-6-6600-66-66000-22-22002-200000000000000000000000000000
χ3788-8-80000004-40000000002-22-2000000002-22-20000000000000
χ3888-8-80000004-4000000000-11-11i3−i3i3−i3i3−i3i3−i3-11-110000000000000
χ3988-8-80000004-4000000000-11-11−i3i3−i3i3−i3i3−i3i3-11-110000000000000
χ4088-8-8000000-440000000002-22-200000000-22-220000000000000
χ4188-8-8000000-44000000000-11-11i3−i3i3−i3−i3i3−i3i31-11-10000000000000
χ4288-8-8000000-44000000000-11-11−i3i3−i3i3i3−i3i3−i31-11-10000000000000
χ438-88-88-80000000000000002-2-222-2-22000000000000000000000
χ448-88-88-8000000000000000-111-1-111-1i3−i3−i3i3i3−i3−i3i30000000000000
χ458-88-88-8000000000000000-111-1-111-1−i3i3i3−i3−i3i3i3−i30000000000000
χ468-88-8-880000000000000002-2-22-222-2000000000000000000000
χ478-88-8-88000000000000000-111-11-1-11i3−i3−i3i3−i3i3i3−i30000000000000
χ488-88-8-88000000000000000-111-11-1-11−i3i3i3−i3i3−i3−i3i30000000000000
χ4912-12-1212004-4000004-4-44000000000000000000000000000000000
χ5012-12-1212004-400000-444-4000000000000000000000000000000000

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