Finite Group Databasebeta

← Group #72344109

Character table — Group #72344109

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111466881212121212162424242424242424323232324848484848484864646464646496969696
order1222222222224442224444436662444444666612124488
χ111111111111111111111111111111111111111111111
χ21111111111111111-1-1111-1-11111-1-1-1-1-11-1111111-1-1-1-1
χ31111111-1-111111-11111-1-1-1-11111-11-11-1-1111-1-1-1-111-1-1
χ41111111-1-111111-11-1-11-1-11111111-11-11-1-111-1-1-1-1-1-111
χ51111-11111-11111-1-111-1111111111-1-1-1-1-11-1-111-1-11-11-1
χ61111-11111-11111-1-1-1-1-111-1-11111-11111-1-1-1-111-1-1-11-11
χ71111-111-1-1-111111-111-1-1-1-1-11111-1-11-1111-1-1-1-1111-1-11
χ81111-111-1-1-111111-1-1-1-1-1-111111111-11-11-1-1-1-1-111-111-1
χ922222222222222220022200-1-1-1-10000020-1-1-1-1-1-10000
χ102222222-2-222222-22002-2-200-1-1-1-100000-20-1-111110000
χ112222-22222-22222-2-200-22200-1-1-1-100000-2011-1-1110000
χ122222-222-2-2-222222-200-2-2-200-1-1-1-100000201111-1-10000
χ132-2-220-222-202-22-2000002-2002-2-220000000002-2000000
χ142-2-220-222-202-22-2000002-200-111-10000000i3−i3-11i3−i30000
χ152-2-220-222-202-22-2000002-200-111-10000000−i3i3-11−i3i30000
χ162-2-220-22-2202-22-200000-22002-2-22000000000-22000000
χ172-2-220-22-2202-22-200000-2200-111-10000000i3−i31-1−i3i30000
χ182-2-220-22-2202-22-200000-2200-111-10000000−i3i31-1i3−i30000
χ193333333333-1-1-1-13-111-1-1-111000011111-11000000-1-1-1-1
χ203333333333-1-1-1-13-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-10000001111
χ213333333-3-33-1-1-1-1-3-111-111-1-10000-11-11-111000000-1-111
χ223333333-3-33-1-1-1-1-3-1-1-1-1111100001-11-111-100000011-1-1
χ233333-33333-3-1-1-1-1-31111-1-11100001-1-1-1-111000000-11-11
χ243333-33333-3-1-1-1-1-31-1-11-1-1-1-10000-111111-10000001-11-1
χ253333-333-3-3-3-1-1-1-13111111-1-10000-1-11-11-11000000-111-1
χ263333-333-3-3-3-1-1-1-131-1-111111000011-11-1-1-10000001-1-11
χ2766666-2-200-222-2-20222-200000000020-200-20000000000
χ2866666-2-200-222-2-202-2-2-2000000000-2020020000000000
χ2966666-2-200-2-2-2220-200200220000-20-202000000000000
χ3066666-2-200-2-2-2220-200200-2-200002020-2000000000000
χ316666-6-2-200222-2-20-2222000000000-20200-20000000000
χ326666-6-2-200222-2-20-2-2-2200000000020-20020000000000
χ336666-6-2-2002-2-2220200-200220000-2020-2000000000000
χ346666-6-2-2002-2-2220200-200-2-2000020-202000000000000
χ356-6-660-666-60-22-2200000-2200000000000000000000000
χ366-6-660-66-660-22-22000002-200000000000000000000000
χ3788-8-8000000000000000004-422-2-200000000000000000
χ3888-8-800000000000000000-4422-2-200000000000000000
χ398-88-80000000000004-4000002-22-200000000000000000
χ408-88-8000000000000-44000002-22-200000000000000000
χ4112-12-121204-40004-4-44000000000000000000000000000000
χ4212-12-121204-4000-444-4000000000000000000000000000000
χ431616-16-160000000000000000000-2-22200000000000000000
χ4416-1616-160000000000000000000-22-2200000000000000000

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