Finite Group Databasebeta

← Group #72271620

Character table — Group #72271620

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222224448888888888881616161616161616224444444448881616161616161616161616163232323232323232336666666661212122424242424242424242424244848484848484848
order12222444488888448816161616161616162222444436666121212122424242424121224244848484848484848666612121212222224444888884488161616161616161622224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-1111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-1111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1111
χ511111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ611111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ711111111111111-1-1-1-1-1-1-1-1111111-11-11-1-111111111111111-1-1-1-1-1-1-1-1111111-11-11-1-111111111111111-1-1-1-1-1-1-1-1111111-11-11-1-1
χ811111111111111-1-1-1-1-1-1-1-11111-1-11-11-11111111111111111-1-1-1-1-1-1-1-11111-1-11-11-11111111111111111-1-1-1-1-1-1-1-11111-1-11-11-111
χ9222222222-2-2-2-2-222-2-20000000000000000222222222-2-2-2-2-222-2-20000000000000000222222222-2-2-2-2-222-2-20000000000000000
χ10222222222-2-2-2-2-2-2-2220000000000000000222222222-2-2-2-2-2-2-2220000000000000000222222222-2-2-2-2-2-2-2220000000000000000
χ1122222-2-2-2-2000002-20022−2−222−2−20000000022222-2-2-2-2000002-20022−2−222−2−20000000022222-2-2-2-2000002-20022−2−222−2−200000000
χ1222222-2-2-2-2000002-200−2−222−2−2220000000022222-2-2-2-2000002-200−2−222−2−2220000000022222-2-2-2-2000002-200−2−222−2−22200000000
χ1322222-2-2-2-200000-220022−2−2−2−2220000000022222-2-2-2-200000-220022−2−2−2−2220000000022222-2-2-2-200000-220022−2−2−2−22200000000
χ1422222-2-2-2-200000-2200−2−22222−2−20000000022222-2-2-2-200000-2200−2−22222−2−20000000022222-2-2-2-200000-2200−2−22222−2−200000000
χ15222-2-22-22-222-2-2200000000000000020-200222-2-22-22-222-2-2200000000000000020-200222-2-22-22-222-2-2200000000000000020-200
χ16222-2-22-22-222-2-22000000000000000-20200222-2-22-22-222-2-22000000000000000-20200222-2-22-22-222-2-22000000000000000-20200
χ17222-2-22-22-2-2-222-20000000000000000002i−2i222-2-22-22-2-2-222-20000000000000000002i−2i222-2-22-22-2-2-222-20000000000000000002i−2i
χ18222-2-22-22-2-2-222-2000000000000000000−2i2i222-2-22-22-2-2-222-2000000000000000000−2i2i222-2-22-22-2-2-222-2000000000000000000−2i2i
χ1922-22-2-2-222222-2-20000000000000020-200022-22-2-2-222222-2-20000000000000020-200022-22-2-2-222222-2-20000000000000020-2000
χ2022-22-2-2-222222-2-200000000000000-20200022-22-2-2-222222-2-200000000000000-20200022-22-2-2-222222-2-200000000000000-202000
χ2122-22-2-2-222-2-2-2220000000000002-200000022-22-2-2-222-2-2-2220000000000002-200000022-22-2-2-222-2-2-2220000000000002-2000000
χ2222-22-2-2-222-2-2-222000000000000-2200000022-22-2-2-222-2-2-222000000000000-2200000022-22-2-2-222-2-2-222000000000000-22000000
χ2322-2-222-2-2200000002-22−22−22−22−20000000022-2-222-2-2200000002-22−22−22−22−20000000022-2-222-2-2200000002-22−22−22−22−200000000
χ2422-2-222-2-2200000002-2−22−22−22−220000000022-2-222-2-2200000002-2−22−22−22−220000000022-2-222-2-2200000002-2−22−22−22−2200000000
χ2522-2-222-2-220000000-222−22−2−22−220000000022-2-222-2-220000000-222−22−2−22−220000000022-2-222-2-220000000-222−22−2−22−2200000000
χ2622-2-222-2-220000000-22−22−222−22−20000000022-2-222-2-220000000-22−22−222−22−20000000022-2-222-2-220000000-22−22−222−22−200000000
χ2722-2-22-222-222-22-200002-2-2200000000000022-2-22-222-222-22-200002-2-2200000000000022-2-22-222-222-22-200002-2-22000000000000
χ2822-2-22-222-222-22-20000-222-200000000000022-2-22-222-222-22-20000-222-200000000000022-2-22-222-222-22-20000-222-2000000000000
χ2922-2-22-222-2-2-22-22000000002-2-220000000022-2-22-222-2-2-22-22000000002-2-220000000022-2-22-222-2-2-22-22000000002-2-2200000000
χ3022-2-22-222-2-2-22-2200000000-222-20000000022-2-22-222-2-2-22-2200000000-222-20000000022-2-22-222-2-2-22-2200000000-222-200000000
χ31444-4-4-44-440000000000000000000000000444-4-4-44-440000000000000000000000000444-4-4-44-440000000000000000000000000
χ3244-44-444-4-4000000000000000000000000044-44-444-4-4000000000000000000000000044-44-444-4-40000000000000000000000000
χ338-8000000042−42000000000000000000000008-8000000042−42000000000000000000000008-8000000042−4200000000000000000000000
χ348-80000000−4242000000000000000000000008-80000000−4242000000000000000000000008-80000000−424200000000000000000000000
χ3511111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3611111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ37111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-1111111111111111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1111
χ38111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1
χ3911111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ4011111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ4111111111111111-1-1-1-1-1-1-1-1111111-11-11-1-111111111111111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111
χ4211111111111111-1-1-1-1-1-1-1-11111-1-11-11-11111111111111111-1-1-1-1-1-1-1-11111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-11-1-1
χ43222222222-2-2-2-2-222-2-20000000000000000222222222-2-2-2-2-222-2-20000000000000000-2-2-2-2-2-2-2-2-222222-2-2220000000000000000
χ44222222222-2-2-2-2-2-2-2220000000000000000222222222-2-2-2-2-2-2-2220000000000000000-2-2-2-2-2-2-2-2-22222222-2-20000000000000000
χ4522222-2-2-2-2000002-20022−2−222−2−20000000022222-2-2-2-2000002-20022−2−222−2−200000000-2-2-2-2-2222200000-2200−2−222−2−22200000000
χ4622222-2-2-2-2000002-200−2−222−2−2220000000022222-2-2-2-2000002-200−2−222−2−22200000000-2-2-2-2-2222200000-220022−2−222−2−200000000
χ4722222-2-2-2-200000-220022−2−2−2−2220000000022222-2-2-2-200000-220022−2−2−2−22200000000-2-2-2-2-22222000002-200−2−22222−2−200000000
χ4822222-2-2-2-200000-2200−2−22222−2−20000000022222-2-2-2-200000-2200−2−22222−2−200000000-2-2-2-2-22222000002-20022−2−2−2−22200000000
χ49222-2-22-22-222-2-2200000000000000020-200222-2-22-22-222-2-2200000000000000020-200-2-2-222-22-22-2-222-2000000000000000-20200
χ50222-2-22-22-222-2-22000000000000000-20200222-2-22-22-222-2-22000000000000000-20200-2-2-222-22-22-2-222-200000000000000020-200
χ51222-2-22-22-2-2-222-20000000000000000002i−2i222-2-22-22-2-2-222-20000000000000000002i−2i-2-2-222-22-2222-2-22000000000000000000−2i2i
χ52222-2-22-22-2-2-222-2000000000000000000−2i2i222-2-22-22-2-2-222-2000000000000000000−2i2i-2-2-222-22-2222-2-220000000000000000002i−2i
χ5322-22-2-2-222222-2-20000000000000020-200022-22-2-2-222222-2-20000000000000020-2000-2-22-2222-2-2-2-2-22200000000000000-202000
χ5422-22-2-2-222222-2-200000000000000-20200022-22-2-2-222222-2-200000000000000-202000-2-22-2222-2-2-2-2-2220000000000000020-2000
χ5522-22-2-2-222-2-2-2220000000000002-200000022-22-2-2-222-2-2-2220000000000002-2000000-2-22-2222-2-2222-2-2000000000000-22000000
χ5622-22-2-2-222-2-2-222000000000000-2200000022-22-2-2-222-2-2-222000000000000-22000000-2-22-2222-2-2222-2-20000000000002-2000000
χ5722-2-222-2-2200000002-22−22−22−22−20000000022-2-222-2-2200000002-22−22−22−22−200000000-2-222-2-222-20000000-22−22−22−22−2200000000
χ5822-2-222-2-2200000002-2−22−22−22−220000000022-2-222-2-2200000002-2−22−22−22−2200000000-2-222-2-222-20000000-222−22−22−22−200000000
χ5922-2-222-2-220000000-222−22−2−22−220000000022-2-222-2-220000000-222−22−2−22−2200000000-2-222-2-222-200000002-2−22−222−22−200000000
χ6022-2-222-2-220000000-22−22−222−22−20000000022-2-222-2-220000000-22−22−222−22−200000000-2-222-2-222-200000002-22−22−2−22−2200000000
χ6122-2-22-222-222-22-200002-2-2200000000000022-2-22-222-222-22-200002-2-22000000000000-2-222-22-2-22-2-22-220000-222-2000000000000
χ6222-2-22-222-222-22-20000-222-200000000000022-2-22-222-222-22-20000-222-2000000000000-2-222-22-2-22-2-22-2200002-2-22000000000000
χ6322-2-22-222-2-2-22-22000000002-2-220000000022-2-22-222-2-2-22-22000000002-2-2200000000-2-222-22-2-2222-22-200000000-222-200000000
χ6422-2-22-222-2-2-22-2200000000-222-20000000022-2-22-222-2-2-22-2200000000-222-200000000-2-222-22-2-2222-22-2000000002-2-2200000000
χ65444-4-4-44-440000000000000000000000000444-4-4-44-440000000000000000000000000-4-4-4444-44-40000000000000000000000000
χ6644-44-444-4-4000000000000000000000000044-44-444-4-40000000000000000000000000-4-44-44-4-4440000000000000000000000000
χ678-8000000042−42000000000000000000000008-8000000042−4200000000000000000000000-880000000−424200000000000000000000000
χ688-80000000−4242000000000000000000000008-80000000−424200000000000000000000000-88000000042−4200000000000000000000000
χ692222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ7022222222222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000
χ71222222222222222222-2-2-2-2-2-2-2-2222-22-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-11110000000000000000000000000000000000
χ72222222222222222222-2-2-2-2-2-2-2-2-2-2-22-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-10000000000000000000000000000000000
χ7322222222222222-2-2-2-22222-2-2-2-222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-10000000000000000000000000000000000
χ7422222222222222-2-2-2-22222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1110000000000000000000000000000000000
χ7522222222222222-2-2-2-2-2-2-2-2222222-22-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1110000000000000000000000000000000000
χ7622222222222222-2-2-2-2-2-2-2-22222-2-22-22-222-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-11-11-1-10000000000000000000000000000000000
χ77444444444-4-4-4-4-444-4-40000000000000000-2-2-2-2-2-2-2-2-222222-2-22200000000000000000000000000000000000000000000000000
χ78444444444-4-4-4-4-4-4-4440000000000000000-2-2-2-2-2-2-2-2-22222222-2-200000000000000000000000000000000000000000000000000
χ7944444-4-4-4-4000004-4002222−22−222222−22−2200000000-2-2-2-2-2222200000-2200−2−222−2−222000000000000000000000000000000000000000000
χ8044444-4-4-4-4000004-400−22−222222−22−22222200000000-2-2-2-2-2222200000-220022−2−222−2−2000000000000000000000000000000000000000000
χ8144444-4-4-4-400000-44002222−22−22−22−22222200000000-2-2-2-2-22222000002-200−2−22222−2−2000000000000000000000000000000000000000000
χ8244444-4-4-4-400000-4400−22−2222222222−22−2200000000-2-2-2-2-22222000002-20022−2−2−2−222000000000000000000000000000000000000000000
χ83444-4-44-44-444-4-4400000000000000040-400-2-2-222-22-22-2-222-2000000000000000-202000000000000000000000000000000000000
χ84444-4-44-44-444-4-44000000000000000-40400-2-2-222-22-22-2-222-200000000000000020-2000000000000000000000000000000000000
χ85444-4-44-44-4-4-444-40000000000000000004i−4i-2-2-222-22-2222-2-22000000000000000000−2i2i0000000000000000000000000000000000
χ86444-4-44-44-4-4-444-4000000000000000000−4i4i-2-2-222-22-2222-2-220000000000000000002i−2i0000000000000000000000000000000000
χ8744-44-4-4-444444-4-40000000000000040-4000-2-22-2222-2-2-2-2-22200000000000000-2020000000000000000000000000000000000000
χ8844-44-4-4-444444-4-400000000000000-404000-2-22-2222-2-2-2-2-2220000000000000020-20000000000000000000000000000000000000
χ8944-44-4-4-444-4-4-4440000000000004-4000000-2-22-2222-2-2222-2-2000000000000-220000000000000000000000000000000000000000
χ9044-44-4-4-444-4-4-444000000000000-44000000-2-22-2222-2-2222-2-20000000000002-20000000000000000000000000000000000000000
χ9144-4-444-4-4400000004-422−2222−2222−2222−2200000000-2-222-2-222-20000000-22−22−22−22−22000000000000000000000000000000000000000000
χ9244-4-444-4-4400000004-4−2222−2222−2222−222200000000-2-222-2-222-20000000-222−22−22−22−2000000000000000000000000000000000000000000
χ9344-4-444-4-440000000-4422−2222−22−2222−222200000000-2-222-2-222-200000002-2−22−222−22−2000000000000000000000000000000000000000000
χ9444-4-444-4-440000000-44−2222−222222−2222−2200000000-2-222-2-222-200000002-22−22−2−22−22000000000000000000000000000000000000000000
χ9544-4-44-444-444-44-400004-4-44000000000000-2-222-22-2-22-2-22-220000-222-20000000000000000000000000000000000000000000000
χ9644-4-44-444-444-44-40000-444-4000000000000-2-222-22-2-22-2-22-2200002-2-220000000000000000000000000000000000000000000000
χ9744-4-44-444-4-4-44-44000000004-4-4400000000-2-222-22-2-2222-22-200000000-222-2000000000000000000000000000000000000000000
χ9844-4-44-444-4-4-44-4400000000-444-400000000-2-222-22-2-2222-22-2000000002-2-22000000000000000000000000000000000000000000
χ99888-8-8-88-880000000000000000000000000-4-4-4444-44-400000000000000000000000000000000000000000000000000000000000
χ10088-88-888-8-80000000000000000000000000-4-44-44-4-44400000000000000000000000000000000000000000000000000000000000
χ10116-16000000082−8200000000000000000000000-880000000−4242000000000000000000000000000000000000000000000000000000000
χ10216-160000000−828200000000000000000000000-88000000042−42000000000000000000000000000000000000000000000000000000000

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