Finite Group Databasebeta

← Group #72263826

Character table — Group #72263826

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222224444444444448888888816161616161616161616161616161616161616161616161632323232323232323232323232323232
order1222222222224444444444222444442222224444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111
χ9111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-11111111-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-1111-1-1-1-1-11111-1-111-1-1-11-11-1-111-1-11111-1-1
χ11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111111-1-1-111-1-1-1-1-1-11111-111-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-11111-1-111-1-1111-1-11-1-11111-1-1-1-111
χ13111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-1111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-1-1111-1-11111-1-111-1-1-11-1111-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1-111111-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1
χ16111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1-11111111-1-111-1-1111-1-1111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-22-2-2-222-2-200002200000000220000000000-2-2000000000000
χ182222222222222222-2-2-2-2-2-22-2-2-222-2-20000-2-200000000-2-2000000000022000000000000
χ19222222222222-2-2-2-22222-2-22-2-2-2-2-22200002200000000-2-20000000000-22000000000000
χ20222222222222-2-2-2-22222-2-22-2-2-2-2-2220000-2-2000000002200000000002-2000000000000
χ212222222222-2-2222222-2-222-2-2-22-2-22-20022000000002200-2-20000-2-20000000000000000
χ222222222222-2-2222222-2-222-2-2-22-2-22-200-2-200000000-2-200220000220000000000000000
χ232222222222-2-22222-2-222-2-2-222-2-2-2-22000000000000000000222200-2-200000000000000
χ242222222222-2-22222-2-222-2-2-222-2-2-2-22000000000000000000-2-2-2-2002200000000000000
χ252222222222-2-2-2-2-2-222-2-2-2-2-222-2222-200000000000000000022-2-200-2200000000000000
χ262222222222-2-2-2-2-2-222-2-2-2-2-222-2222-2000000000000000000-2-222002-200000000000000
χ272222222222-2-2-2-2-2-2-2-22222-2-2-2222-22002200000000-2-200-2-20000220000000000000000
χ282222222222-2-2-2-2-2-2-2-22222-2-2-2222-2200-2-2000000002200220000-2-20000000000000000
χ292222-2-22-2-222222-2-2222222-22-2-22-2-2-22-200002-2-222-20000000000000000000000000000
χ302222-2-22-2-222222-2-2222222-22-2-22-2-2-2-220000-222-2-220000000000000000000000000000
χ312222-2-22-2-222222-2-2-2-2-2-2-2-2-2-2222-22200000000000000000000000000002-22-200000000
χ322222-2-22-2-222222-2-2-2-2-2-2-2-2-2-2222-2220000000000000000000000000000-22-2200000000
χ332222-2-22-2-2222-2-2222222-2-2-2-222-22-2-200000000000000000000000000002-2-2200000000
χ342222-2-22-2-2222-2-2222222-2-2-2-222-22-2-20000000000000000000000000000-222-200000000
χ352222-2-22-2-2222-2-222-2-2-2-222-22-2-2-22222200002-2-2-2-220000000000000000000000000000
χ362222-2-22-2-2222-2-222-2-2-2-222-22-2-2-2222-2-20000-22222-20000000000000000000000000000
χ372222-2-22-2-22-2-222-2-222-2-2222-22-2-22-220000000000000000000000000000000000002-22-2
χ382222-2-22-2-22-2-222-2-222-2-2222-22-2-22-22000000000000000000000000000000000000-22-22
χ392222-2-22-2-22-2-222-2-2-2-222-2-222-22-222-2000000000000000000000000000000002i−2i2i−2i0000
χ402222-2-22-2-22-2-222-2-2-2-222-2-222-22-222-200000000000000000000000000000000−2i2i−2i2i0000
χ412222-2-22-2-22-2-2-2-22222-2-2-2-222-222-2-22000000000000000000000000000000002i−2i−2i2i0000
χ422222-2-22-2-22-2-2-2-22222-2-2-2-222-222-2-2200000000000000000000000000000000−2i2i2i−2i0000
χ432222-2-22-2-22-2-2-2-222-2-222222-22-22-22-20000000000000000000000000000000000002-2-22
χ442222-2-22-2-22-2-2-2-222-2-222222-22-22-22-2000000000000000000000000000000000000-222-2
χ4544444-4-44-4-4004-44-400000000000000220000-22-22-2-20000000000000000000000000000
χ4644444-4-44-4-4004-44-400000000000000-2-200002-22-2220000000000000000000000000000
χ4744444-4-44-4-400-44-44000000000000002-20000-22-2-2220000000000000000000000000000
χ4844444-4-44-4-400-44-4400000000000000-2200002-222-2-20000000000000000000000000000
χ494444-44-4-44-4004-4-44000000000000002-20000-2-222-220000000000000000000000000000
χ504444-44-4-44-4004-4-4400000000000000-22000022-2-22-20000000000000000000000000000
χ514444-44-4-44-400-444-400000000000000220000-2-22-22-20000000000000000000000000000
χ524444-44-4-44-400-444-400000000000000-2-2000022-22-220000000000000000000000000000
χ5344-4-400400-44-400004i−4i4i−4i0000000000002-2000000002i−2i002-200002i−2i0000000000000000
χ5444-4-400400-44-400004i−4i4i−4i000000000000-2200000000−2i2i00-220000−2i2i0000000000000000
χ5544-4-400400-44-40000−4i4i−4i4i0000000000002-200000000−2i2i002-20000−2i2i0000000000000000
χ5644-4-400400-44-40000−4i4i−4i4i000000000000-22000000002i−2i00-2200002i−2i0000000000000000
χ5744-4-400400-4-4400004i−4i−4i4i0000000000002-2000000002i−2i00-220000−2i2i0000000000000000
χ5844-4-400400-4-4400004i−4i−4i4i000000000000-2200000000−2i2i002-200002i−2i0000000000000000
χ5944-4-400400-4-440000−4i4i4i−4i0000000000002-200000000−2i2i00-2200002i−2i0000000000000000
χ6044-4-400400-4-440000−4i4i4i−4i000000000000-22000000002i−2i002-20000−2i2i0000000000000000
χ6188-8-800-800800000000008-8000000000000000000000000000000000000000000000000
χ6288-8-800-80080000000000-88000000000000000000000000000000000000000000000000
χ638-88-80800-8000000000000000000000000000000000004i−4i000000000000000000000000
χ648-88-80800-800000000000000000000000000000000000−4i4i000000000000000000000000
χ658-88-80-800800000000000000000000000004-40000000000000000000000000000000000
χ668-88-80-80080000000000000000000000000-440000000000000000000000000000000000
χ678-8-88800-80000000000000000000000000000000000000000004i−4i000000000000000000
χ688-8-88800-8000000000000000000000000000000000000000000−4i4i000000000000000000
χ698-8-88-800800000000000000000000000000000000000000004-400000000000000000000
χ708-8-88-80080000000000000000000000000000000000000000-4400000000000000000000

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