Finite Group Databasebeta

← Group #72341307

Character table — Group #72341307

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112224444444444444444448888888888888816161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464
order12222222222222244444444222222444444442222222444444444444444444444444444444444444444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ31111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1111111111111-1-11-111-111111-1-11111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111-1-1111111111111-1-11-111-111111-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ71111111111111111111-1-1111111111111-1-11-111-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111
χ81111111111111111111-1-1111111111111-1-11-111-1-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111111111111-1-111111111-1-1111111-11-1-111111-1111111-1-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111-1-111111111-1-1111111-11-1-111111-1111111-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ1111111111111111111-1-111111111-1-1111111-11-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ1211111111111111111-1-111111111-1-1111111-11-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1311111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ1411111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ1511111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1
χ1611111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ171111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1111-1-11-1-11-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-11-1
χ181111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1111-1-11-1-11-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-1
χ191111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-111-111-1-111111-1-11-1-11-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111-11
χ201111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-111-111-1-111111-1-11-1-11-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-111-11
χ211111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-11-1-1-111-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-11
χ221111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-111111-1-1-1-1-111-1-1-1-11-1-1-111-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-11
χ231111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1111-1-111-1-1-1-1-111-1-11-1-1-111-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-11111-1-11-1
χ241111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1111-1-111-1-1-1-1-111-1-11-1-1-111-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-11111-1-11-1
χ251111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-1-1-111-1-111111-1-1-1-1-1111-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-11
χ261111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-1-1-111-1-111111-1-1-1-1-1111-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-11
χ271111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-1-1-1-1-111111-1-111-1-1-1111-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1
χ281111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11-1-1-1-1-111111-1-111-1-1-1111-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1
χ291111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-111-1-111-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111-1-1111-1
χ301111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-11-1-111-1-111-111-1111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111-1-1111-1
χ311111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1-11
χ321111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1111-1-1-1-11111-111-1111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1-11
χ3322222222222-2-2-2-222222222-2-2-2-22222-2-2-2-222-2-2-200002-2-20000222-2-2222-22-2000000000000000000000000000000000000000000
χ3422222222222-2-2-2-22222-2-222-2-2-2-22222-2-2222-2-2-2200002220000-2-22-2-2-2-2-22-22000000000000000000000000000000000000000000
χ3522222222222-2-2-2-222-2-22222-2-2-2-2-2-222-2-2-2-2-2222-20000-2-2-20000-2-2-2222222-22000000000000000000000000000000000000000000
χ3622222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-222-2-22220000-222000022-222-2-2-2-22-2000000000000000000000000000000000000000000
χ372222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2222222-2-220000-2-2-20000222222-2-2-2-22000000000000000000000000000000000000000000
χ382222222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-222-2-22-2-2-2-20000-2220000-2-2222-22222-2000000000000000000000000000000000000000000
χ392222222-2-2-2-2222222-2-22222-2-2-2-222-2-22222-2222200002-2-20000-2-2-2-2-22-2-222-2000000000000000000000000000000000000000000
χ402222222-2-2-2-2222222-2-2-2-222-2-2-2-222-2-222-2-2-2-222-20000222000022-2-2-2-222-2-22000000000000000000000000000000000000000000
χ4122222-2-2222222-2-22-222002-222-2-222-2-22-200202-200000-200000000-22-2000000000000002-22-22-22-200000000000000000000000000
χ4222222-2-2222222-2-22-222002-222-2-222-2-22-200202-200000-200000000-22-200000000000000-22-22-22-2200000000000000000000000000
χ4322222-2-2222222-2-22-2-2-2002-222-2-2-2-2-2-22-200-20-22000002000000002-22000000000000002-22-2-22-2200000000000000000000000000
χ4422222-2-2222222-2-22-2-2-2002-222-2-2-2-2-2-22-200-20-22000002000000002-2200000000000000-22-222-22-200000000000000000000000000
χ4522222-2-22222-2-2222-222002-2-2-22222-2-2-220020-2200000-200000000-2-220000002-22-22-22-20000000000000000000000000000000000
χ4622222-2-22222-2-2222-222002-2-2-22222-2-2-220020-2200000-200000000-2-22000000-22-22-22-220000000000000000000000000000000000
χ4722222-2-22222-2-2222-2-2-2002-2-2-222-2-2-2-2-2200-202-20000020000000022-20000002-22-2-22-220000000000000000000000000000000000
χ4822222-2-22222-2-2222-2-2-2002-2-2-222-2-2-2-2-2200-202-20000020000000022-2000000-22-222-22-20000000000000000000000000000000000
χ4922222-2-222-2-22222-220022-222-22-2002-2-2-2220200-2000002-2000000000-22-200000000000000000002-22-200002-22-200000000000000
χ5022222-2-222-2-22222-220022-222-22-2002-2-2-2220200-2000002-2000000000-22-20000000000000000000-22-220000-22-2200000000000000
χ5122222-2-222-2-22222-2200-2-2-222-22-2002-2-2-2-2-20-200200000-220000000002-2200000000000000000002-22-20000-22-2200000000000000
χ5222222-2-222-2-22222-2200-2-2-222-22-2002-2-2-2-2-20-200200000-220000000002-220000000000000000000-22-2200002-22-200000000000000
χ5322222-2-222-2-2-2-2-2-2-220022-22-22-22002-222-2-20200200000-22000000000-22-2000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000
χ5422222-2-222-2-2-2-2-2-2-220022-22-22-22002-222-2-20200200000-22000000000-22-200000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ5522222-2-222-2-2-2-2-2-2-2200-2-2-22-22-22002-222220-200-2000002-20000000002-22000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000
χ5622222-2-222-2-2-2-2-2-2-2200-2-2-22-22-22002-222220-200-2000002-20000000002-2200000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000
χ5722222-2-2-2-2222222-220022-22-22-2200-22-2-2220200-200000-22000000000-2-22000000000000000000000002-2-2200002-2-220000000000
χ5822222-2-2-2-2222222-220022-22-22-2200-22-2-2220200-200000-22000000000-2-2200000000000000000000000-222-20000-222-20000000000
χ5922222-2-2-2-2222222-2200-2-2-22-22-2200-22-2-2-2-20-2002000002-200000000022-2000000000000000000000002-2-220000-222-20000000000
χ6022222-2-2-2-2222222-2200-2-2-22-22-2200-22-2-2-2-20-2002000002-200000000022-200000000000000000000000-222-200002-2-220000000000
χ6122222-2-2-2-222-2-2-2-2-220022-222-22-200-2222-2-202002000002-2000000000-2-2200000000000000000002i−2i−2i2i00002i−2i−2i2i00000000000000
χ6222222-2-2-2-222-2-2-2-2-220022-222-22-200-2222-2-202002000002-2000000000-2-220000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000000000
χ6322222-2-2-2-222-2-2-2-2-2200-2-2-222-22-200-2222220-200-200000-2200000000022-200000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000000000
χ6422222-2-2-2-222-2-2-2-2-2200-2-2-222-22-200-2222220-200-200000-2200000000022-20000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000000000
χ6522222-2-2-2-2-2-222-2-22-222002-2-2-222-2-2222-20020-2200000200000000-22-20000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ6622222-2-2-2-2-2-222-2-22-222002-2-2-222-2-2222-20020-2200000200000000-22-2000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ6722222-2-2-2-2-2-222-2-22-2-2-2002-2-2-22222222-200-202-200000-2000000002-220000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000
χ6822222-2-2-2-2-2-222-2-22-2-2-2002-2-2-22222222-200-202-200000-2000000002-22000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000
χ6922222-2-2-2-2-2-2-2-2222-222002-222-2-2-2-222-2200202-200000200000000-2-22000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ7022222-2-2-2-2-2-2-2-2222-222002-222-2-2-2-222-2200202-200000200000000-2-2200000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ7122222-2-2-2-2-2-2-2-2222-2-2-2002-222-2-22222-2200-20-2200000-20000000022-2000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ7222222-2-2-2-2-2-2-2-2222-2-2-2002-222-2-22222-2200-20-2200000-20000000022-200000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ73444444444-4-444-4-4-4-40000-4-44-4-4400-44-4400000000000000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-4-4-444-4-40000-4-4-444-400-444-400000000000000000000000000000000000000000000000000000000000000000000000
χ754444444-4-44444-4-4-4-40000-4-4-444-4004-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ764444444-4-444-4-444-4-40000-4-44-4-44004-44-400000000000000000000000000000000000000000000000000000000000000000000000
χ7744-44-40000004-44-40-400440400000000004-40-40002-22-20002-22-2000000000000000000000000000000000000000000000002-22-200
χ7844-44-40000004-44-40-400440400000000004-40-4000-22-22000-22-2200000000000000000000000000000000000000000000000-22-2200
χ7944-44-40000004-44-40-400-4-4040000000000-44040002-22-20002-22-200000000000000000000000000000000000000000000000-22-2200
χ8044-44-40000004-44-40-400-4-4040000000000-4404000-22-22000-22-22000000000000000000000000000000000000000000000002-22-200
χ8144-44-4000000-44-440-40044040000000000-440-40002-2-220002-2-22000000000000000000000000000000000000000000000002-2-2200
χ8244-44-4000000-44-440-40044040000000000-440-4000-222-2000-222-200000000000000000000000000000000000000000000000-222-200
χ8344-44-4000000-44-440-400-4-40400000000004-4040002-2-220002-2-2200000000000000000000000000000000000000000000000-222-200
χ8444-44-4000000-44-440-400-4-40400000000004-404000-222-2000-222-2000000000000000000000000000000000000000000000002-2-2200
χ8544-4-44004-44-40000-4044004000004-4000000-400002-22-2000-22-2200000000000000000000000000000000000000000002-22-2000000
χ8644-4-44004-44-40000-4044004000004-4000000-40000-22-220002-22-20000000000000000000000000000000000000000000-22-22000000
χ8744-4-44004-44-40000-40-4-400400000-44000000400002-22-2000-22-220000000000000000000000000000000000000000000-22-22000000
χ8844-4-44004-44-40000-40-4-400400000-4400000040000-22-220002-22-200000000000000000000000000000000000000000002-22-2000000
χ8944-4-4400-44-440000-404400400000-44000000-400002-2-22000-222-200000000000000000000000000000000000000000002-2-22000000
χ9044-4-4400-44-440000-404400400000-44000000-40000-222-20002-2-220000000000000000000000000000000000000000000-222-2000000
χ9144-4-4400-44-440000-40-4-4004000004-4000000400002-2-22000-222-20000000000000000000000000000000000000000000-222-2000000
χ9244-4-4400-44-440000-40-4-4004000004-400000040000-222-20002-2-2200000000000000000000000000000000000000000002-2-22000000
χ93888-8-88-8000000000000000000000000000000000004400000-4-400000000000000000000000000000000000000000000000000000
χ94888-8-88-800000000000000000000000000000000000-4-4000004400000000000000000000000000000000000000000000000000000
χ95888-8-8-880000000000000000000000000000000004400000-4-40000000000000000000000000000000000000000000000000000000
χ96888-8-8-88000000000000000000000000000000000-4-400000440000000000000000000000000000000000000000000000000000000
χ9788-88-80000008-8-880800000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-88-8000000-888-80800000-8000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-88008-8-880000800000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8800-888-80000800000-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-160000000000000008-88i−8i0000000000000000000000000000004i−4i000000000000000000000000000000000000000000000000000
χ10216-160000000000000008-8−8i8i000000000000000000000000000000−4i4i000000000000000000000000000000000000000000000000000
χ10316-16000000000000000-888i−8i000000000000000000000000000000−4i4i000000000000000000000000000000000000000000000000000
χ10416-16000000000000000-88−8i8i0000000000000000000000000000004i−4i000000000000000000000000000000000000000000000000000

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