Finite Group Databasebeta

← Group #72338969

Character table — Group #72338969

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size112224444441616161616161616161616161616161616161616323232323232323232323232323232323264646464646464646464128128128128
order12222224444222222222222444444444444444444488888844488888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1
χ31111111111111111111-1-1111-1-111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1111-1-1111111111111-1-111-1-1-1-111-11-1-11-11111-1-1-1-1
χ5111111111111111-1-1-1-11111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111-1-111
χ7111111111111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-111-1-11111-1-11-1-1-1-1-1111111-1-1
χ8111111111111111-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11-1-1-1-1-11111
χ9111111111111-1-1-111-1-11111-111-1-1111-111-1-11-11111-1-11111-1-1-11-1-111-1-11-11-1
χ10111111111111-1-1-111-1-11111-111-1-1111-111-1-11-1-1-1-1-111-1-1-1-111-111-1-1-1111-1-11
χ11111111111111-1-1-111-1-1-1-111-1-1-1-1-1111-111-1-11-111-1-1-1-111-1-1-111-111-1-111-111-1
χ12111111111111-1-1-111-1-1-1-111-1-1-1-1-1111-111-1-11-1-1-11111-1-1111-11-1-1111-1-1-11-11
χ13111111111111-1-1-1-1-1111111-111-1-1111-1-1-111-111111-1-11111-1-1-11-1-1-1-111-11-11
χ14111111111111-1-1-1-1-1111111-111-1-1111-1-1-111-11-1-1-1-111-1-1-1-111-111-111-1-1-111-1
χ15111111111111-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-111-1111-1-1-1-111-1-1-111-11111-1-11-1-11
χ16111111111111-1-1-1-1-111-1-111-1-1-1-1-1111-1-1-111-11-1-11111-1-1111-11-1-11-1-1111-11-1
χ17222222222222222000000-2-2200-2-2-2-22-200000000220000-2-20200-2000000000
χ18222222222222222000000-2-2200-2-2-2-22-200000000-2-20000220-2002000000000
χ19222222222222-2-2-2000000-2-2-20022-2-22200000000220000-2-20-2002000000000
χ20222222222222-2-2-2000000-2-2-20022-2-22200000000-2-20000220200-2000000000
χ2122222222222-222-2000000-2-2-200-2-222-220000002200-2-2-2-20020000000000000
χ2222222222222-222-2000000-2-2-200-2-222-22000000-2-200222200-20000000000000
χ2322222222222-222-200002222-22222-2-2-2-20000000000000000002-20-200000000
χ2422222222222-222-20000-2-222-2-2-222-2-2-2-2000000000000000000-220200000000
χ2522222222222-2-2-22000000-2-22002222-2-2000000220022-2-200-20000000000000
χ2622222222222-2-2-22000000-2-22002222-2-2000000-2-200-2-2220020000000000000
χ2722222222222-2-2-2200002222222-2-2-2-2-22000000000000000000-2-20200000000
χ2822222222222-2-2-220000-2-2222-2-2-2-2-2-2-22000000000000000000220-200000000
χ2922222-2-222-2-220000022002-2000002-2-2000-2-202002i−2i00002i−2i000000002i−2i0000
χ3022222-2-222-2-220000022002-2000002-2-2000-2-20200−2i2i0000−2i2i00000000−2i2i0000
χ3122222-2-222-2-2200000-2-2002-2000002-2-2000220-2002i−2i00002i−2i00000000−2i2i0000
χ3222222-2-222-2-2200000-2-2002-2000002-2-2000220-200−2i2i0000−2i2i000000002i−2i0000
χ3322222-2-222-2-22000220000-2200000-22-20-2-20020002i−2i0000−2i2i0000002i−2i000000
χ3422222-2-222-2-22000220000-2200000-22-20-2-2002000−2i2i00002i−2i000000−2i2i000000
χ3522222-2-222-2-22000-2-20000-2200000-22-202200-20002i−2i0000−2i2i000000−2i2i000000
χ3622222-2-222-2-22000-2-20000-2200000-22-202200-2000−2i2i00002i−2i0000002i−2i000000
χ374444444-4-4-4-404-40222200000000000002-22-2-2-2000000000000000000000000
χ384444444-4-4-4-404-40-2-2-2-20000000000000-22-2222000000000000000000000000
χ394444444-4-4-4-40-44022-2-200000000000002-2-22-22000000000000000000000000
χ404444444-4-4-4-40-440-2-2220000000000000-222-22-2000000000000000000000000
χ4144444-4-444-4-4-40000000004-400000-4440000000000000000000000000000000
χ4244444-4-444-4-4-4000000000-44000004-440000000000000000000000000000000
χ4344444-4-4-4-444000422220000-400000000-22-22-2-2000000000000000000000000
χ4444444-4-4-4-4440004-2-2-2-20000-4000000002-22-222000000000000000000000000
χ4544444-4-4-4-444000-422-2-20000400000000-222-2-22000000000000000000000000
χ4644444-4-4-4-444000-4-2-22200004000000002-2-222-2000000000000000000000000
χ47888-8-800008-80000000000000000000000000004i−4i0000000000000000000000
χ48888-8-800008-8000000000000000000000000000−4i4i0000000000000000000000
χ49888-8-80000-88000000004-40004-4000000000000000000000000000000000000
χ50888-8-80000-8800000000-44000-44000000000000000000000000000000000000
χ5188-88-88-800000000000000000000000000000000000004i−4i0000000000000000
χ5288-88-88-80000000000000000000000000000000000000−4i4i0000000000000000
χ5388-88-8-8800000000000044000-4-4000000000000000000000000000000000000
χ5488-88-8-88000000000000-4-400044000000000000000000000000000000000000
χ5588-8-88008-80000000000000000000000000000000004-4000000000000000000
χ5688-8-88008-8000000000000000000000000000000000-44000000000000000000
χ5788-8-8800-8800000000004-4000-44000000000000000000000000000000000000
χ5888-8-8800-880000000000-440004-4000000000000000000000000000000000000
χ5916-1600000000000004-44-400000004-40000000000000000000000000000000000
χ6016-1600000000000004-4-440000000-440000000000000000000000000000000000
χ6116-160000000000000-444-40000000-440000000000000000000000000000000000
χ6216-160000000000000-44-4400000004-40000000000000000000000000000000000

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