Finite Group Databasebeta

← Group #72280366

Character table — Group #72280366

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222288888888888888888888161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12442222222444444422444444444444444444222244444444222444448888888888888888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11
χ511111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111-11-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-11-11
χ9111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ10111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ11111111111111111111-1-1-1-11111111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1
χ12111111111111111111-1-1-1-11111111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-11-1-11111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ13111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ14111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ15111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ16111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ172222222222222222222222222-2-2-2-22222-2-2-2-2200220022-2-2-2-200000022-2-20000-2-200000000000000000000000000000000
χ182222222222222222222222222-2-2-2-22222-2-2-2-2200-2-200-2-2-2-2-2-2000000-2-22200002200000000000000000000000000000000
χ192222222222222222222222-2-2-222-2-2-2-2-2-222-2-2-20000000022-2-2000000000000220000-2-2000000000000000000000000020-2
χ202222222222222222222222-2-2-222-2-2-2-2-2-222-2-2-20000000022-2-2000000000000-2-20000220000000000000000000000000-202
χ212222222222222222222222-2-2-2-2-222-2-2-2-2-2-222-200000000-2-2220000000000220000-2-20000000000000000000000000020-20
χ222222222222222222222222-2-2-2-2-222-2-2-2-2-2-222-200000000-2-2220000000000-2-200002200000000000000000000000000-2020
χ23222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-22002200222222000000-2-2220000-2-200000000000000000000000000000000
χ24222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2200-2-200-2-2222200000022-2-200002200000000000000000000000000000000
χ25222222222222222222-2-2-2-2-2-2-222-2-2222222-2-2-200000000-2-222000000000000220000220000000000000000000000000-20-2
χ26222222222222222222-2-2-2-2-2-2-222-2-2222222-2-2-200000000-2-222000000000000-2-20000-2-20000000000000000000000000202
χ27222222222222222222-2-2-2-2-2-2-2-2-2222222-2-222-20000000022-2-200000000002200002200000000000000000000000000-20-20
χ28222222222222222222-2-2-2-2-2-2-2-2-2222222-2-222-20000000022-2-20000000000-2-20000-2-2000000000000000000000000002020
χ292222-2-2-2-222222-2-2-22-200002-2-22-22-200002-22-22002-2002-2000002-202-2000000002-200000000000000000000000022-2-20000
χ302222-2-2-2-222222-2-2-22-200002-2-22-22-200002-22-22002-2002-200000-220-22000000002-2000000000000000000000000-2-2220000
χ312222-2-2-2-222222-2-2-22-200002-2-22-22-200002-22-2200-2200-22000002-202-200000000-22000000000000000000000000-2-2220000
χ322222-2-2-2-222222-2-2-22-200002-2-22-22-200002-22-2200-2200-2200000-220-2200000000-2200000000000000000000000022-2-20000
χ332222-2-2-2-222222-2-2-22-200002-2-2-22-220000-22-222222-2222-20000-200-20000000000-220000000000000000000022-2-200000000
χ342222-2-2-2-222222-2-2-22-200002-2-2-22-220000-22-22222-2222-220000-200-200000000002-200000000000000000000-2-22200000000
χ352222-2-2-2-222222-2-2-22-200002-2-2-22-220000-22-222-2-22-2-2-22-2000020020000000000-2200000000000000000000-2-22200000000
χ362222-2-2-2-222222-2-2-22-200002-2-2-22-220000-22-222-2-2-22-2-2-220000200200000000002-20000000000000000000022-2-200000000
χ3722-2-222-2-22-2-22222-2-2-22-22-2-22-2000022-2-200002002200-2-200000000002-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ3822-2-222-2-22-2-22222-2-2-22-22-2-22-2000022-2-200002002200-2-200000000002-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ3922-2-222-2-22-2-22222-2-2-22-22-2-22-2000022-2-20000200-2-200220000000000-22000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ4022-2-222-2-22-2-22222-2-2-22-22-2-22-2000022-2-20000200-2-200220000000000-22000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ4122-2-222-2-22-2-22222-2-2-2-22-22-22-20000-2-22200002002200-2-20000000000-22000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4222-2-222-2-22-2-22222-2-2-2-22-22-22-20000-2-22200002002200-2-20000000000-22000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4322-2-222-2-22-2-22222-2-2-2-22-22-22-20000-2-2220000200-2-2002200000000002-2000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4422-2-222-2-22-2-22222-2-2-2-22-22-22-20000-2-2220000200-2-2002200000000002-2000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ45444444-4-44-4-4-4-4-4-4444000000000004-44-4000000000000000000000000000000000000000000000000000002-22-22-22-20000
χ46444444-4-44-4-4-4-4-4-4444000000000004-44-400000000000000000000000000000000000000000000000000000-22-22-22-220000
χ47444444-4-44-4-4-4-4-4-444400000000000-44-44000000000000000000000000000000000000000000000000000002-22-2-22-220000
χ48444444-4-44-4-4-4-4-4-444400000000000-44-4400000000000000000000000000000000000000000000000000000-22-222-22-20000
χ4944444-44-4-44-44-44-4-4-4400000000000000000000000000004-40000000000000000000000000000002-22-22-22-2000000000000
χ5044444-44-4-44-44-44-4-4-4400000000000000000000000000004-4000000000000000000000000000000-22-22-22-22000000000000
χ5144444-44-4-44-44-44-4-4-440000000000000000000000000000-440000000000000000000000000000002-22-2-22-22000000000000
χ5244444-44-4-44-44-44-4-4-440000000000000000000000000000-44000000000000000000000000000000-22-222-22-2000000000000
χ5344444-4-44-4-44-44-44-4-440000000000000000000000000000004-4000000000000000000002-22-22-22-200000000000000000000
χ5444444-4-44-4-44-44-44-4-440000000000000000000000000000004-400000000000000000000-22-22-22-2200000000000000000000
χ5544444-4-44-4-44-44-44-4-44000000000000000000000000000000-44000000000000000000002-22-2-22-2200000000000000000000
χ5644444-4-44-4-44-44-44-4-44000000000000000000000000000000-4400000000000000000000-22-222-22-200000000000000000000
χ574444-4-4444-4-4-4-444-44-44-4-4400000000000000000000000000000000000000000000000000000000000000002-2-222-2-220000
χ584444-4-4444-4-4-4-444-44-44-4-440000000000000000000000000000000000000000000000000000000000000000-222-2-222-20000
χ594444-4-4444-4-4-4-444-44-4-444-400000000000000000000000000000000000000000000000000000000000000002-2-22-222-20000
χ604444-4-4444-4-4-4-444-44-4-444-40000000000000000000000000000000000000000000000000000000000000000-222-22-2-220000
χ614444-4-4-4-444444-4-4-44-40000-4444-4-4400004-4-44-4000000000000000000000000000000000000000000000000000000000000
χ624444-4-4-4-444444-4-4-44-40000-444-444-40000-444-4-4000000000000000000000000000000000000000000000000000000000000
χ6344-4-44444444-4-4-4-4-4-4-4000000000004-4-44000002200-2-200000022-2-2-22000000000000000000000000000000000000000000
χ6444-4-44444444-4-4-4-4-4-4-4000000000004-4-4400000-2-20022000000-2-2222-2000000000000000000000000000000000000000000
χ6544-4-44444444-4-4-4-4-4-4-400000000000-444-4000002200-2-20000002-22-22-2000000000000000000000000000000000000000000
χ6644-4-44444444-4-4-4-4-4-4-400000000000-444-400000-2-20022000000-22-22-22000000000000000000000000000000000000000000
χ6744-4-444-4-44-4-44444-4-4-44-44-44-440000-4-4440000-4000000000000000000000000000000000000000000000000000000000000
χ6844-4-444-4-44-4-44444-4-4-4-44-444-44000044-4-40000-4000000000000000000000000000000000000000000000000000000000000
χ6944-4-44-44-4-44-4-44-4444-400000004-4000000-440000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ7044-4-44-44-4-44-4-44-4444-400000004-4000000-44000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ7144-4-44-44-4-44-4-44-4444-40000000-440000004-4000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ7244-4-44-44-4-44-4-44-4444-40000000-440000004-400000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ7344-4-44-4-44-4-444-44-444-40000000004-4000000-440000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ7444-4-44-4-44-4-444-44-444-40000000004-4000000-44000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ7544-4-44-4-44-4-444-44-444-4000000000-440000004-4000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ7644-4-44-4-44-4-444-44-444-4000000000-440000004-400000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ7744-4-4-444-4-4-444-4-44-44400000000044000000-4-4000000000000000000000004i−4i000000000000000000000000000000000000
χ7844-4-4-444-4-4-444-4-44-44400000000044000000-4-400000000000000000000000−4i4i000000000000000000000000000000000000
χ7944-4-4-444-4-4-444-4-44-444000000000-4-400000044000000000000000000000000000004-4000000000000000000000000000000
χ8044-4-4-444-4-4-444-4-44-444000000000-4-40000004400000000000000000000000000000-44000000000000000000000000000000
χ8144-4-4-44-44-44-4-444-4-444000000044000000-4-40000000000000000000000000004i−4i0000000000000000000000000000000000
χ8244-4-4-44-44-44-4-444-4-444000000044000000-4-4000000000000000000000000000−4i4i0000000000000000000000000000000000
χ8344-4-4-44-44-44-4-444-4-4440000000-4-4000000440000000000000000000000000000000004-40000000000000000000000000000
χ8444-4-4-44-44-44-4-444-4-4440000000-4-400000044000000000000000000000000000000000-440000000000000000000000000000
χ8544-4-4-4-4444-4-444-4-44-44000044-4000000000000-4000000000000000000004i−4i00000000000000000000000000000000000000
χ8644-4-4-4-4444-4-444-4-44-44000044-4000000000000-400000000000000000000−4i4i00000000000000000000000000000000000000
χ8744-4-4-4-4444-4-444-4-44-440000-4-440000000000004004-400-440000000000000000000000000000000000000000000000000000
χ8844-4-4-4-4444-4-444-4-44-440000-4-44000000000000400-44004-40000000000000000000000000000000000000000000000000000
χ8944-4-4-4-4-4-4444-4-4444-4444-4-400000000000000002200-2-2000000-2222-2-2000000000000000000000000000000000000000000
χ9044-4-4-4-4-4-4444-4-4444-4444-4-40000000000000000-2-200220000002-2-2-222000000000000000000000000000000000000000000
χ9144-4-4-4-4-4-4444-4-4444-44-4-44400000000000000002200-2-2000000-2-2-2222000000000000000000000000000000000000000000
χ9244-4-4-4-4-4-4444-4-4444-44-4-4440000000000000000-2-20022000000222-2-2-2000000000000000000000000000000000000000000
χ938888-888-8-8-88-888-88-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ948888-88-88-88-88-8-888-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9516-1616i−16i00000000000000000000000000000000004-4004i−4i000000000000000000000000000000000000000000000000000000
χ9616-1616i−16i0000000000000000000000000000000000-4400−4i4i000000000000000000000000000000000000000000000000000000
χ9716-16−16i16i00000000000000000000000000000000004-400−4i4i000000000000000000000000000000000000000000000000000000
χ9816-16−16i16i0000000000000000000000000000000000-44004i−4i000000000000000000000000000000000000000000000000000000

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