Finite Group Databasebeta

← Group #72338913

Character table — Group #72338913

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222444444448888816161616161616161616161616161616161616323232323232323232323232323232323232646464646464646464128128128128
order12222224444442244422222244444888888882244444444448888884488888884488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-111
χ8111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1111111-1-1
χ91111111-1-11111-1-1-11111-1-111-11-1111111-1-1-1-1-1111-11-1-11-111111111-1-1-1-1-111-1-11-11-1
χ101111111-1-11111-1-1-11111-1-111-11-1111111-1-1-1-1-1-1-11-11-1-11-1-1-1-1-111-1-111-11111-1-1-11-11
χ111111111-1-11111-1-1-11111-1-111-11-111-1-1-1-11111-1111-11-1-11-111-1-1-1-1-1-1111-1-1-1-1111-1-11
χ121111111-1-11111-1-1-11111-1-111-11-111-1-1-1-11111-1-1-11-11-1-11-1-1-111-1-111-1-1111-1-111-111-1
χ131111111-1-11111-1-1-111-1-11111-11-1111111-1-1-1-1-111-11-11-1-1111111111-1-1-1-1-1-1-111-11-11
χ141111111-1-11111-1-1-111-1-11111-11-1111111-1-1-1-1-1-1-1-11-11-1-11-1-1-1-111-1-111-111-1-1111-11-1
χ151111111-1-11111-1-1-111-1-11111-11-111-1-1-1-11111-111-11-11-1-1111-1-1-1-1-1-1111-1-111-1-1-111-1
χ161111111-1-11111-1-1-111-1-11111-11-111-1-1-1-11111-1-1-1-11-11-1-11-1-111-1-111-1-111111-1-11-1-11
χ17222222200-2-2-2-2000-2-200222-20202-22i2i−2i−2i0000000020-200-200002i−2i0000000002i−2i0000
χ18222222200-2-2-2-2000-2-200222-20202-2−2i−2i2i2i0000000020-200-20000−2i2i000000000−2i2i0000
χ19222222200-2-2-2-2000-2-200-2-22-20202-22i2i−2i−2i00000000-20200200002i−2i000000000−2i2i0000
χ20222222200-2-2-2-2000-2-200-2-22-20202-2−2i−2i2i2i00000000-2020020000−2i2i0000000002i−2i0000
χ21222222200-2-2-2-2000-2-22200-22020-222i2i−2i−2i000000020-200-200000−2i2i00000002i−2i000000
χ22222222200-2-2-2-2000-2-22200-22020-22−2i−2i2i2i000000020-200-2000002i−2i0000000−2i2i000000
χ23222222200-2-2-2-2000-2-2-2-200-22020-222i2i−2i−2i0000000-20200200000−2i2i0000000−2i2i000000
χ24222222200-2-2-2-2000-2-2-2-200-22020-22−2i−2i2i2i0000000-202002000002i−2i00000002i−2i000000
χ252222222222222222220000-2-2222-2-222222222-2000000-2000000-2-20000-20000000000
χ262222222222222222220000-2-2222-2-2-2-2-2-2-2-2-2-2-2000000-200000022000020000000000
χ272222222222222-2-22-2-2000022-2-22-2-2000000002220000-200-2-2000000000-2200000000
χ282222222222222-2-22-2-2000022-2-22-2-2000000002-2-20000-200220000000002-200000000
χ292222222222222-2-22-2-20000-2-2-2-222200000000-2000000200002200-2-22-200000000000
χ302222222222222-2-22-2-20000-2-2-2-222200000000-200000020000-2-20022-2200000000000
χ312222222-2-2222222-2-2-20000222-2-2-2-200000000-2220000200-2-20000000002-200000000
χ322222222-2-2222222-2-2-20000222-2-2-2-200000000-2-2-2000020022000000000-2200000000
χ332222222-2-2222222-2-2-20000-2-22-2-222000000002000000-200002200-2-2-2200000000000
χ342222222-2-2222222-2-2-20000-2-22-2-222000000002000000-20000-2-200222-200000000000
χ352222222-2-22222-2-2-2220000-2-2-22-2-2-22222-2-2-2-220000002000000-2-2000020000000000
χ362222222-2-22222-2-2-2220000-2-2-22-2-2-2-2-2-2-2222220000002000000220000-20000000000
χ37444444400-4-4-4-40004400004-40-40-44000000000000000000000000000000000000000
χ38444444400-4-4-4-4000440000-440-404-4000000000000000000000000000000000000000
χ3944444-4-400-444-444000222200-4000000000000000-2-2-2-2022000000000000000000000
χ4044444-4-400-444-444000-2-2-2-200-400000000000000022220-2-2000000000000000000000
χ4144444-4-400-444-4-4-400022-2-2004000000000000000-22-2202-2000000000000000000000
χ4244444-4-400-444-4-4-4000-2-2220040000000000000002-22-20-22000000000000000000000
χ4344444-4-4444-4-440040022220000-40000000000000-2-2220-2-2000000000000000000000
χ4444444-4-4444-4-4400400-2-2-2-20000-4000000000000022-2-2022000000000000000000000
χ4544444-4-4-4-44-4-4400-40022-2-2000040000000000000-222-20-22000000000000000000000
χ4644444-4-4-4-44-4-4400-400-2-2220000400000000000002-2-2202-2000000000000000000000
χ47444-4-44-40000000004i−4i000000000002+2i−2−2i2−2i−2+2i000002-200000002i−2i2-2002i−2i0000000000000
χ48444-4-44-40000000004i−4i000000000002+2i−2−2i2−2i−2+2i00000-220000000−2i2i-2200−2i2i0000000000000
χ49444-4-44-40000000004i−4i00000000000−2−2i2+2i−2+2i2−2i000002-200000002i−2i-2200−2i2i0000000000000
χ50444-4-44-40000000004i−4i00000000000−2−2i2+2i−2+2i2−2i00000-220000000−2i2i2-2002i−2i0000000000000
χ51444-4-44-4000000000−4i4i000000000002−2i−2+2i2+2i−2−2i000002-20000000−2i2i2-200−2i2i0000000000000
χ52444-4-44-4000000000−4i4i000000000002−2i−2+2i2+2i−2−2i00000-2200000002i−2i-22002i−2i0000000000000
χ53444-4-44-4000000000−4i4i00000000000−2+2i2−2i−2−2i2+2i000002-20000000−2i2i-22002i−2i0000000000000
χ54444-4-44-4000000000−4i4i00000000000−2+2i2−2i−2−2i2+2i00000-2200000002i−2i2-200−2i2i0000000000000
χ55888-8-8-88000000000000000000000000004i4i−4i−4i0000000000000000000000000000000
χ56888-8-8-8800000000000000000000000000−4i−4i4i4i0000000000000000000000000000000
χ5788-88-80000800-8000000000000000000004i−4i4i−4i0000000000000000000000000000000
χ5888-88-80000800-800000000000000000000−4i4i−4i4i0000000000000000000000000000000
χ5988-88-80088-800800-80000000000000000000000000000000000000000000000000000
χ6088-88-800-8-8-80080080000000000000000000000000000000000000000000000000000
χ6188-8-88000008-80000000000000000000004-4-440000000000000000000000000000000
χ6288-8-88000008-8000000000000000000000-444-40000000000000000000000000000000
χ6388-8-8800000-8808-800000000000000000000000000000000000000000000000000000
χ6488-8-8800000-880-8800000000000000000000000000000000000000000000000000000
χ6516-16000008-80000000004-44-40000000000000000000000000000000000000000000000
χ6616-16000008-8000000000-44-440000000000000000000000000000000000000000000000
χ6716-1600000-880000000004-4-440000000000000000000000000000000000000000000000
χ6816-1600000-88000000000-444-40000000000000000000000000000000000000000000000

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