Finite Group Databasebeta

← Group #72285162

Character table — Group #72285162

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122244444444888161616161616161616161616161616163232323232323232323232323232323232323232323232323232646464646464128128128128
order12222224444442242244444444444444224444444444444444448888884888884488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-11111-1-1111111111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-111-1-1
χ51111111111111111111-1-1-1-11111111111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1111111-1-1
χ81111111111111111111-1-1-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-111111-1-111
χ91111111-1-11111-1-1-111-111-1-11-11111111-111-111-1-1111-111-1-1-1-111-1-1-1-1-1-11-111-1-11-11-1
χ101111111-1-11111-1-1-111-111-1-11-11111111-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1111111-1111-1-1-11-11
χ111111111-1-11111-1-1-111-111-1-11-1-1-1-1-1111-111-111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-111-1
χ121111111-1-11111-1-1-111-111-1-11-1-1-1-1-1111-1-1-1-111-1-1111-1-1-11111111111-1-1-1-1-1-1111-1-11
χ131111111-1-11111-1-1-111-1-1-1111-11111111-111-1-1-11111-1111-1-1-1-111-1-1-1-1-1-11-1-1-111-11-11
χ141111111-1-11111-1-1-111-1-1-1111-11111111-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1111111-11-1-1111-11-1
χ151111111-1-11111-1-1-111-1-1-1111-1-1-1-1-1111-111-1-1-111-1-1-11-1-11111-1-1-1-1-1-1111111-1-11-1-11
χ161111111-1-11111-1-1-111-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111-11-1-11111111111-1-1-1-111-1-1-111-1
χ17222222200-2-2-2-20002-200022-2022-2-22-220000002-2000-22-200000000000000002-20000
χ18222222200-2-2-2-20002-200022-20-2-2222-220000002-2000-2-220000000000000000-220000
χ19222222200-2-2-2-20002-2000-2-2-2022-2-22-22000000-2200022-20000000000000000-220000
χ20222222200-2-2-2-20002-2000-2-2-20-2-2222-22000000-220002-2200000000000000002-20000
χ21222222200-2-2-2-2000-2202200-2022-2-2-22200002-20000-20-22000000000000002-2000000
χ22222222200-2-2-2-2000-2202200-20-2-222-22200002-20000-202-200000000000000-22000000
χ23222222200-2-2-2-2000-220-2-200-2022-2-2-2220000-22000020-2200000000000000-22000000
χ24222222200-2-2-2-2000-220-2-200-20-2-222-2220000-220000202-2000000000000002-2000000
χ252222222222222222-2-220000222222-2-22-200-200000000-2-2-2-222000000000000000000
χ262222222222222222-2-22000022-2-2-2-2-2-22-200-2000000002222-2-2000000000000000000
χ272222222222222-2-2222-20000-220000-2-2-2200-200002200000000-2-20000-2-20200000000
χ282222222222222-2-2222-20000-220000-2-2-2200-20000-2-200000000220000220-200000000
χ292222222222222-2-22-2-2-20000-22000022-2-2222000000000000000022-2-200-2000000000
χ302222222222222-2-22-2-2-20000-22000022-2-2-2-220000000000000000-2-222002000000000
χ312222222-2-2222222-22220000-2-20000-2-2-2-200200002200000000-2-20000220-200000000
χ322222222-2-2222222-22220000-2-20000-2-2-2-20020000-2-200000000220000-2-20200000000
χ332222222-2-2222222-2-2-220000-2-2000022-2222-20000000000000000-2-22200-2000000000
χ342222222-2-2222222-2-2-220000-2-2000022-22-2-2-2000000000000000022-2-2002000000000
χ352222222-2-22222-2-2-2-2-2-200002-22222-2-22200200000000-2-222-2-2000000000000000000
χ362222222-2-22222-2-2-2-2-2-200002-2-2-2-2-2-2-2220020000000022-2-222000000000000000000
χ37444444400-4-4-4-40004-400000400000-44-4000000000000000000000000000000000000
χ38444444400-4-4-4-4000-44000004000004-4-4000000000000000000000000000000000000
χ3944444-4-40044-4-444000-422220000000000000-22-2200-2-2000000000000000000000000
χ4044444-4-40044-4-444000-4-2-2-2-200000000000002-22-20022000000000000000000000000
χ4144444-4-40044-4-4-4-4000422-2-20000000000000-222-200-22000000000000000000000000
χ4244444-4-40044-4-4-4-40004-2-22200000000000002-2-22002-2000000000000000000000000
χ4344444-4-444-4-44400400022220-400000000000-2-2-2-20022000000000000000000000000
χ4444444-4-444-4-444004000-2-2-2-20-400000000000222200-2-2000000000000000000000000
χ4544444-4-4-4-4-4-44400-400022-2-20400000000000-2-222002-2000000000000000000000000
χ4644444-4-4-4-4-4-44400-4000-2-222040000000000022-2-200-22000000000000000000000000
χ47444-4-400004-4004-400000000002i−2i2i−2i00002-2000002i−2i0000002i−2i00002-22i−2i0000000000
χ48444-4-400004-4004-400000000002i−2i2i−2i0000-2200000−2i2i0000002i−2i0000-22−2i2i0000000000
χ49444-4-400004-4004-40000000000−2i2i−2i2i00002-200000−2i2i000000−2i2i00002-2−2i2i0000000000
χ50444-4-400004-4004-40000000000−2i2i−2i2i0000-22000002i−2i000000−2i2i0000-222i−2i0000000000
χ51444-4-400004-400-4400000000002i−2i2i−2i00002-2000002i−2i000000−2i2i0000-22−2i2i0000000000
χ52444-4-400004-400-4400000000002i−2i2i−2i0000-2200000−2i2i000000−2i2i00002-22i−2i0000000000
χ53444-4-400004-400-440000000000−2i2i−2i2i00002-200000−2i2i0000002i−2i0000-222i−2i0000000000
χ54444-4-400004-400-440000000000−2i2i−2i2i0000-22000002i−2i0000002i−2i00002-2−2i2i0000000000
χ55888-8-80000-88000000000000004i−4i−4i4i000000000000000000000000000000000000000
χ56888-8-80000-8800000000000000−4i4i4i−4i000000000000000000000000000000000000000
χ5788-88-88-80000000000000000000000000000000000000000000004i−4i00000000000000
χ5888-88-88-8000000000000000000000000000000000000000000000−4i4i00000000000000
χ5988-88-8-8800000000000000000000000000000000000000000004i−4i0000000000000000
χ6088-88-8-880000000000000000000000000000000000000000000−4i4i0000000000000000
χ6188-8-880000008-80000000000000000000000000000000004-400000000000000000000
χ6288-8-880000008-8000000000000000000000000000000000-4400000000000000000000
χ6388-8-88008800-8800-80000000000000000000000000000000000000000000000000000
χ6488-8-8800-8-800-880080000000000000000000000000000000000000000000000000000
χ6516-16000008-800000000004i−4i4i−4i000000000000000000000000000000000000000000000
χ6616-16000008-80000000000−4i4i−4i4i000000000000000000000000000000000000000000000
χ6716-1600000-8800000000004i−4i−4i4i000000000000000000000000000000000000000000000
χ6816-1600000-880000000000−4i4i4i−4i000000000000000000000000000000000000000000000

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