Finite Group Databasebeta

← Group #72319864

Character table — Group #72319864

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11222222244444444888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232646464646464646464646464
order12222222244444444222222224444444444222244444444444444444444444424444444444488888888444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ511111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1
χ91111111111-1-1-1-11111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-111-1-1-1111-1-1
χ101111111111-1-1-1-11111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-1111-1-1-111
χ111111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-11-1-111
χ121111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-1-1-1111-111-1-1
χ131111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11-1-1-111-11-1-111
χ141111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-11-111-1-1
χ151111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-11-1-111-1111-1-1
χ161111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-11-111-1-11-1-1-111
χ172222222222222222222-2-222-2-2-2-2222222-2-200220022-2-200000000-2-200002222000000000000-2-200-2-200000000000000
χ182222222222222222222-2-222-2-2-2-2222222-2-200-2-200-2-2-2-200000000-2-20000-2-2-2-200000000000022002200000000000000
χ1922222222222222222-2-222-2-222-2-222-2-2-2-2-2-200000000-2-200000000220000000022220000000000000000000000-2-20000
χ2022222222222222222-2-222-2-222-2-222-2-2-2-2-2-200000000-2-2000000002200000000-2-2-2-20000000000000000000000220000
χ2122222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222000000002200000000-2-20000000000000000000000220022-2-20000000000
χ2222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222000000002200000000-2-20000000000000000000000-2-200-2-2220000000000
χ232222222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2002200222200000000220000-2-2-2-20000000000002200-2-200000000000000
χ242222222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-200-2-200-2-222000000002200002222000000000000-2-2002200000000000000
χ252222222222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2000000002200000000-2-20000000022-2-200000000000000000000002-20000
χ262222222222-2-2-2-2222-2-222-2-222-2-2-2-22222-2-2000000002200000000-2-200000000-2-2220000000000000000000000-220000
χ272222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-222222200000000-2-2000000002200000000000000000000002200-2-2-220000000000
χ282222222222-2-2-2-2222-2-2-2-2-2-2-2-222-2-222222200000000-2-200000000220000000000000000000000-2-200222-20000000000
χ292222-2-2-22-222i2i−2i−2i-2-222-22-22-22-22-22i−2i2i2i−2i−2i2-2000000002i−2i000000002i−2i0000000000000000000000000000000000002i−2i2-2
χ302222-2-2-22-222i2i−2i−2i-2-222-22-22-22-22-22i−2i2i2i−2i−2i2-2000000002i−2i000000002i−2i000000000000000000000000000000000000−2i2i-22
χ312222-2-2-22-222i2i−2i−2i-2-222-2-222-2-22-222i−2i2i2i−2i−2i-2200000000−2i2i00000000−2i2i0000000000000000000000000000002-22i−2i000000
χ322222-2-2-22-222i2i−2i−2i-2-222-2-222-2-22-222i−2i2i2i−2i−2i-2200000000−2i2i00000000−2i2i000000000000000000000000000000-22−2i2i000000
χ332222-2-2-22-222i2i−2i−2i-2-22-222-2-222-2-222i−2i−2i−2i2i2i-2200000000−2i2i000000002i−2i00000000000022-2-22i2i−2i−2i00000000000000000000
χ342222-2-2-22-222i2i−2i−2i-2-22-222-2-222-2-222i−2i−2i−2i2i2i-2200000000−2i2i000000002i−2i000000000000-2-222−2i−2i2i2i00000000000000000000
χ352222-2-2-22-222i2i−2i−2i-2-22-22-22-22-222-22i−2i−2i−2i2i2i2-22-2002-2002i−2i2i2i−2i−2i22-2-2−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ362222-2-2-22-222i2i−2i−2i-2-22-22-22-22-222-22i−2i−2i−2i2i2i2-2-2200-22002i−2i−2i−2i2i2i-2-222−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ372222-2-2-22-22−2i−2i2i2i-2-222-22-22-22-22-2−2i2i−2i−2i2i2i2-200000000−2i2i00000000−2i2i0000000000000000000000000000000000002i−2i-22
χ382222-2-2-22-22−2i−2i2i2i-2-222-22-22-22-22-2−2i2i−2i−2i2i2i2-200000000−2i2i00000000−2i2i000000000000000000000000000000000000−2i2i2-2
χ392222-2-2-22-22−2i−2i2i2i-2-222-2-222-2-22-22−2i2i−2i−2i2i2i-22000000002i−2i000000002i−2i0000000000000000000000000000002-2−2i2i000000
χ402222-2-2-22-22−2i−2i2i2i-2-222-2-222-2-22-22−2i2i−2i−2i2i2i-22000000002i−2i000000002i−2i000000000000000000000000000000-222i−2i000000
χ412222-2-2-22-22−2i−2i2i2i-2-22-222-2-222-2-22−2i2i2i2i−2i−2i-22000000002i−2i00000000−2i2i00000000000022-2-2−2i−2i2i2i00000000000000000000
χ422222-2-2-22-22−2i−2i2i2i-2-22-222-2-222-2-22−2i2i2i2i−2i−2i-22000000002i−2i00000000−2i2i000000000000-2-2222i2i−2i−2i00000000000000000000
χ432222-2-2-22-22−2i−2i2i2i-2-22-22-22-22-222-2−2i2i2i2i−2i−2i2-22-2002-200−2i2i−2i−2i2i2i22-2-22i−2i−2i−2i2i2i000000000000000000000000000000000000
χ442222-2-2-22-22−2i−2i2i2i-2-22-22-22-22-222-2−2i2i2i2i−2i−2i2-2-2200-2200−2i2i2i2i−2i−2i-2-2222i−2i2i2i−2i−2i000000000000000000000000000000000000
χ4522-2-222-22-2-20000-2222-222-22-2-222000000-2-2002-2002-2002i−2i2i−2i0000002i−2i2i−2i0000000000002i−2i2i−2i00002-200000000000000
χ4622-2-222-22-2-20000-2222-222-22-2-222000000-2-2002-2002-200−2i2i−2i2i000000−2i2i−2i2i000000000000−2i2i−2i2i00002-200000000000000
χ4722-2-222-22-2-20000-2222-222-22-2-222000000-2-200-2200-22002i−2i2i−2i0000002i−2i2i−2i000000000000−2i2i−2i2i0000-2200000000000000
χ4822-2-222-22-2-20000-2222-222-22-2-222000000-2-200-2200-2200−2i2i−2i2i000000−2i2i−2i2i0000000000002i−2i2i−2i0000-2200000000000000
χ4922-2-222-22-2-20000-2222-2-2-2-2222-2-2000000222-22-2-222-20000002-22-2000000000000002-22-200000000-2200000000000000
χ5022-2-222-22-2-20000-2222-2-2-2-2222-2-2000000222-2-22-22-220000002-22-200000000000000-22-22000000002-200000000000000
χ5122-2-222-22-2-20000-2222-2-2-2-2222-2-200000022-222-22-22-2000000-22-2200000000000000-22-2200000000-2200000000000000
χ5222-2-222-22-2-20000-2222-2-2-2-2222-2-200000022-22-222-2-22000000-22-22000000000000002-22-2000000002-200000000000000
χ5322-2-2-2-2222-200002-22-2-22-222-22-220000002-22200-2-2000000002-2-2200000022-2-2000000002-2-222-2000000000000000000
χ5422-2-2-2-2222-200002-22-2-22-222-22-220000002-22200-2-2000000002-2-22000000-2-22200000000-222-2-22000000000000000000
χ5522-2-2-2-2222-200002-22-2-22-222-22-220000002-2-2-2002200000000-222-200000022-2-200000000-222-22-2000000000000000000
χ5622-2-2-2-2222-200002-22-2-22-222-22-220000002-2-2-2002200000000-222-2000000-2-222000000002-2-22-22000000000000000000
χ5722-2-2-2-2222-200002-22-2-2-22222-22-2000000-2200000000002-2-220000002-2-2222-2-200002-2-220000-22000000000000000000
χ5822-2-2-2-2222-200002-22-2-2-22222-22-2000000-2200000000002-2-220000002-2-22-2-2220000-222-200002-2000000000000000000
χ5922-2-2-2-2222-200002-22-2-2-22222-22-2000000-220000000000-222-2000000-222-222-2-20000-222-20000-22000000000000000000
χ6022-2-2-2-2222-200002-22-2-2-22222-22-2000000-220000000000-222-2000000-222-2-2-22200002-2-2200002-2000000000000000000
χ61444444444-44444-4-4-40000000000-4-40000002200220000-2-2-2-2-2-2-2-2002222000000000000000000000000000000000000
χ62444444444-44444-4-4-40000000000-4-4000000-2-200-2-200002222222200-2-2-2-2000000000000000000000000000000000000
χ63444444444-4-4-4-4-4-4-4-400000000004400000022002200002222-2-2-2-200-2-2-2-2000000000000000000000000000000000000
χ64444444444-4-4-4-4-4-4-4-4000000000044000000-2-200-2-20000-2-2-2-22222002222000000000000000000000000000000000000
χ654444-4-4-44-4-44i4i−4i−4i44-40000000000−4i4i0000002-2002-20000−2i−2i2i2i-2-222002i2i−2i−2i000000000000000000000000000000000000
χ664444-4-4-44-4-44i4i−4i−4i44-40000000000−4i4i000000-2200-2200002i2i−2i−2i22-2-200−2i−2i2i2i000000000000000000000000000000000000
χ674444-4-4-44-4-4−4i−4i4i4i44-400000000004i−4i0000002-2002-200002i2i−2i−2i-2-22200−2i−2i2i2i000000000000000000000000000000000000
χ684444-4-4-44-4-4−4i−4i4i4i44-400000000004i−4i000000-2200-220000−2i−2i2i2i22-2-2002i2i−2i−2i000000000000000000000000000000000000
χ69444-44-44-4-404i−4i4i−4i000000000000000000000002-200-2200000000000000002i−2i2i−2i2-22i−2i00000000002-2002i−2i000000000000
χ70444-44-44-4-404i−4i4i−4i000000000000000000000002-200-2200000000000000002i−2i2i−2i-22−2i2i0000000000-2200−2i2i000000000000
χ71444-44-44-4-404i−4i4i−4i00000000000000000000000-22002-20000000000000000−2i2i−2i2i2-22i−2i0000000000-2200−2i2i000000000000
χ72444-44-44-4-404i−4i4i−4i00000000000000000000000-22002-20000000000000000−2i2i−2i2i-22−2i2i00000000002-2002i−2i000000000000
χ73444-44-44-4-40−4i4i−4i4i000000000000000000000002-200-220000000000000000−2i2i−2i2i2-2−2i2i00000000002-200−2i2i000000000000
χ74444-44-44-4-40−4i4i−4i4i000000000000000000000002-200-220000000000000000−2i2i−2i2i-222i−2i0000000000-22002i−2i000000000000
χ75444-44-44-4-40−4i4i−4i4i00000000000000000000000-22002-200000000000000002i−2i2i−2i2-2−2i2i0000000000-22002i−2i000000000000
χ76444-44-44-4-40−4i4i−4i4i00000000000000000000000-22002-200000000000000002i−2i2i−2i-222i−2i00000000002-200−2i2i000000000000
χ7744-4-444-44-4400004-4-40000000000004i−4i4i−4i002-200-2200002i−2i2i−2i-22-2200−2i2i−2i2i000000000000000000000000000000000000
χ7844-4-444-44-4400004-4-40000000000004i−4i4i−4i00-22002-20000−2i2i−2i2i2-22-2002i−2i2i−2i000000000000000000000000000000000000
χ7944-4-444-44-4400004-4-4000000000000−4i4i−4i4i002-200-220000−2i2i−2i2i-22-22002i−2i2i−2i000000000000000000000000000000000000
χ8044-4-444-44-4400004-4-4000000000000−4i4i−4i4i00-22002-200002i−2i2i−2i2-22-200−2i2i−2i2i000000000000000000000000000000000000
χ8144-4-444-44-4-40000-444-44444-4-4-4-4-400000044000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-44-4-40000-444-44-4-44-44444000000-4-4000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-444440000-44-40000000000004-4-44002200-2-20000-222-2-222-2002-2-22000000000000000000000000000000000000
χ8444-4-4-4-444440000-44-40000000000004-4-4400-2-2002200002-2-222-2-2200-222-2000000000000000000000000000000000000
χ8544-4-4-4-444440000-44-4000000000000-444-4002200-2-200002-2-22-222-200-222-2000000000000000000000000000000000000
χ8644-4-4-4-444440000-44-4000000000000-444-400-2-200220000-222-22-2-22002-2-22000000000000000000000000000000000000
χ8744-4-4-4-4444-400004-44444-4-4-4-444-4000000-44000000000000000000000000000000000000000000000000000000000000
χ8844-4-4-4-4444-400004-4444-44-4-44-4-440000004-4000000000000000000000000000000000000000000000000000000000000
χ89888-8-88-8-8808-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ90888-8-88-8-880-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-888-8-8-8800000000000000000000000000004400-4-40000000000000000000000000000000000000000000000000000
χ9288-888-8-8-880000000000000000000000000000-4-400440000000000000000000000000000000000000000000000000000
χ9388-88-888-8-8000000000000000000000000000000000000000000000000004i−4i−4i4i00000000000000000000000000000000
χ9488-88-888-8-800000000000000000000000000000000000000000000000000−4i4i4i−4i00000000000000000000000000000000
χ9532-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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