Finite Group Databasebeta

← Group #72265228

Character table — Group #72265228

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11111111222222222222444444444444444444444444888888888888888816161616161616161616161616161616161616161616161616161616161616163232323232323232
order12224444222222444444222244444444444488888888444488888888888822444444444444441616161616161616161616161616161644448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ182222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ1922222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2022222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-20000000000000000000000000000000000000000
χ212222222222-2-2-2-22-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i22-2-222-2-2000000002i2i−2i−2i0000000000000000000000002i2i−2i−2i000022-2-200000000
χ222222222222-2-2-2-22-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i22-2-222-2-2000000002i2i−2i−2i000000000000000000000000−2i−2i2i2i0000-2-22200000000
χ232222222222-2-2-2-22-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i-2-222-2-22200000000−2i−2i2i2i0000000000000000000022-2-200002i2i−2i−2i000000000000
χ242222222222-2-2-2-22-2-2-22-2000000002i2i2i2i−2i−2i−2i−2i-2-222-2-22200000000−2i−2i2i2i00000000000000000000-2-2220000−2i−2i2i2i000000000000
χ252222222222-2-2-2-22-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i22-2-222-2-200000000−2i−2i2i2i0000000000000000000000002i2i−2i−2i0000-2-22200000000
χ262222222222-2-2-2-22-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i22-2-222-2-200000000−2i−2i2i2i000000000000000000000000−2i−2i2i2i000022-2-200000000
χ272222222222-2-2-2-22-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i-2-222-2-222000000002i2i−2i−2i0000000000000000000022-2-20000−2i−2i2i2i000000000000
χ282222222222-2-2-2-22-2-2-22-200000000−2i−2i−2i−2i2i2i2i2i-2-222-2-222000000002i2i−2i−2i00000000000000000000-2-22200002i2i−2i−2i000000000000
χ292222-2-2-2-2-2-222-2-2222-22-2000000002i2i−2i−2i2i2i−2i−2i2-22-22-22-2000000002i−2i2i−2i0000000000000000000000000000000000002-200002i−2i
χ302222-2-2-2-2-2-222-2-2222-22-2000000002i2i−2i−2i2i2i−2i−2i2-22-22-22-2000000002i−2i2i−2i000000000000000000000000000000000000-220000−2i2i
χ312222-2-2-2-2-2-222-2-2222-22-2000000002i2i−2i−2i2i2i−2i−2i-22-22-22-2200000000−2i2i−2i2i000000000000000000000000000000000000002-22i−2i00
χ322222-2-2-2-2-2-222-2-2222-22-2000000002i2i−2i−2i2i2i−2i−2i-22-22-22-2200000000−2i2i−2i2i00000000000000000000000000000000000000-22−2i2i00
χ332222-2-2-2-2-2-222-2-2222-22-200000000−2i−2i2i2i−2i−2i2i2i2-22-22-22-200000000−2i2i−2i2i0000000000000000000000000000000000002-20000−2i2i
χ342222-2-2-2-2-2-222-2-2222-22-200000000−2i−2i2i2i−2i−2i2i2i2-22-22-22-200000000−2i2i−2i2i000000000000000000000000000000000000-2200002i−2i
χ352222-2-2-2-2-2-222-2-2222-22-200000000−2i−2i2i2i−2i−2i2i2i-22-22-22-22000000002i−2i2i−2i000000000000000000000000000000000000002-2−2i2i00
χ362222-2-2-2-2-2-222-2-2222-22-200000000−2i−2i2i2i−2i−2i2i2i-22-22-22-22000000002i−2i2i−2i00000000000000000000000000000000000000-222i−2i00
χ372222-2-2-2-2-2-2-2-2222-2-22220000000022-2-2-2-2222-2-222-2-22000000002-2-220000000022-2-222-2-20000000000000000000000000000
χ382222-2-2-2-2-2-2-2-2222-2-22220000000022-2-2-2-2222-2-222-2-22000000002-2-2200000000-2-222-2-2220000000000000000000000000000
χ392222-2-2-2-2-2-2-2-2222-2-22220000000022-2-2-2-222-222-2-222-200000000-222-2000022-2-20000000022-2-2000000000000000000000000
χ402222-2-2-2-2-2-2-2-2222-2-22220000000022-2-2-2-222-222-2-222-200000000-222-20000-2-22200000000-2-222000000000000000000000000
χ412222-2-2-2-2-2-2-2-2222-2-222200000000-2-22222-2-22-2-222-2-2200000000-222-20000000022-2-2-2-2220000000000000000000000000000
χ422222-2-2-2-2-2-2-2-2222-2-222200000000-2-22222-2-22-2-222-2-2200000000-222-200000000-2-22222-2-20000000000000000000000000000
χ432222-2-2-2-2-2-2-2-2222-2-222200000000-2-22222-2-2-222-2-222-2000000002-2-22000022-2-200000000-2-222000000000000000000000000
χ442222-2-2-2-2-2-2-2-2222-2-222200000000-2-22222-2-2-222-2-222-2000000002-2-220000-2-2220000000022-2-2000000000000000000000000
χ4522-2-222-2-22-22-22-2-22-222-222-2-222-2-2000000002222-2-2-2-2000022-2-2000000002-22-200002-22-20000000000000000000000000000
χ4622-2-222-2-22-22-22-2-22-222-222-2-222-2-2000000002222-2-2-2-2000022-2-200000000-22-220000-22-220000000000000000000000000000
χ4722-2-222-2-22-22-22-2-22-222-222-2-222-2-200000000-2-2-2-222220000-2-2220000000000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000
χ4822-2-222-2-22-22-22-2-22-222-222-2-222-2-200000000-2-2-2-222220000-2-222000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000
χ4922-2-222-2-22-22-22-2-22-222-2-2-222-2-222000000002222-2-2-2-20000-2-222000000002-22-20000-22-220000000000000000000000000000
χ5022-2-222-2-22-22-22-2-22-222-2-2-222-2-222000000002222-2-2-2-20000-2-22200000000-22-2200002-22-20000000000000000000000000000
χ5122-2-222-2-22-22-22-2-22-222-2-2-222-2-22200000000-2-2-2-22222000022-2-20000000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000
χ5222-2-222-2-22-22-22-2-22-222-2-2-222-2-22200000000-2-2-2-22222000022-2-2000000000000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000
χ5322-2-2-2-2222-22-22-22-22-2-2222-2-2-2-2222i−2i2i−2i2i−2i2i−2i000000002i2i−2i−2i0000000000000000000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ5422-2-2-2-2222-22-22-22-22-2-2222-2-2-2-2222i−2i2i−2i2i−2i2i−2i000000002i2i−2i−2i0000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ5522-2-2-2-2222-22-22-22-22-2-2222-2-2-2-222−2i2i−2i2i−2i2i−2i2i00000000−2i−2i2i2i0000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ5622-2-2-2-2222-22-22-22-22-2-2222-2-2-2-222−2i2i−2i2i−2i2i−2i2i00000000−2i−2i2i2i0000000000000000000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ5722-2-2-2-2222-22-22-22-22-2-22-2-22222-2-22i−2i2i−2i2i−2i2i−2i00000000−2i−2i2i2i0000000000000000000000000000i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ5822-2-2-2-2222-22-22-22-22-2-22-2-22222-2-22i−2i2i−2i2i−2i2i−2i00000000−2i−2i2i2i0000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ5922-2-2-2-2222-22-22-22-22-2-22-2-22222-2-2−2i2i−2i2i−2i2i−2i2i000000002i2i−2i−2i0000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ6022-2-2-2-2222-22-22-22-22-2-22-2-22222-2-2−2i2i−2i2i−2i2i−2i2i000000002i2i−2i−2i0000000000000000000000000000−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ6122-2-2-2-2222-2-22-2222-22-2-2000000002-22-2-22-220000000000002i−2i2i−2i00002i2i−2i−2i0000000000000000i2−i2−i2i22−2−22−i2i2i2−i22−2−2200000000
χ6222-2-2-2-2222-2-22-2222-22-2-2000000002-22-2-22-220000000000002i−2i2i−2i00002i2i−2i−2i0000000000000000−i2i2i2−i2−222−2i2−i2−i2i2−222−200000000
χ6322-2-2-2-2222-2-22-2222-22-2-2000000002-22-2-22-22000000000000−2i2i−2i2i0000−2i−2i2i2i0000000000000000i2−i2−i2i2−222−2−i2i2i2−i2−222−200000000
χ6422-2-2-2-2222-2-22-2222-22-2-2000000002-22-2-22-22000000000000−2i2i−2i2i0000−2i−2i2i2i0000000000000000−i2i2i2−i22−2−22i2−i2−i2i22−2−2200000000
χ6522-2-2-2-2222-2-22-2222-22-2-200000000-22-222-22-20000000000002i−2i2i−2i0000−2i−2i2i2i0000000000000000i2−i2−i2i22−2−22i2−i2−i2i2−222−200000000
χ6622-2-2-2-2222-2-22-2222-22-2-200000000-22-222-22-20000000000002i−2i2i−2i0000−2i−2i2i2i0000000000000000−i2i2i2−i2−222−2−i2i2i2−i22−2−2200000000
χ6722-2-2-2-2222-2-22-2222-22-2-200000000-22-222-22-2000000000000−2i2i−2i2i00002i2i−2i−2i0000000000000000i2−i2−i2i2−222−2i2−i2−i2i22−2−2200000000
χ6822-2-2-2-2222-2-22-2222-22-2-200000000-22-222-22-2000000000000−2i2i−2i2i00002i2i−2i−2i0000000000000000−i2i2i2−i22−2−22−i2i2i2−i2−222−200000000
χ6922-2-2-2-222-22-222-2-2-2222-200000000000000002-2-22-222-22i−2i2i−2i000000002i−2i2i−2i000000002-2-222i−2i−2i2i000000000000000000000000
χ7022-2-2-2-222-22-222-2-2-2222-200000000000000002-2-22-222-22i−2i2i−2i000000002i−2i2i−2i00000000-222-2−2i2i2i−2i000000000000000000000000
χ7122-2-2-2-222-22-222-2-2-2222-200000000000000002-2-22-222-2−2i2i−2i2i00000000−2i2i−2i2i000000002-2-22−2i2i2i−2i000000000000000000000000
χ7222-2-2-2-222-22-222-2-2-2222-200000000000000002-2-22-222-2−2i2i−2i2i00000000−2i2i−2i2i00000000-222-22i−2i−2i2i000000000000000000000000
χ7322-2-2-2-222-22-222-2-2-2222-20000000000000000-222-22-2-222i−2i2i−2i00000000−2i2i−2i2i2-2-222i−2i−2i2i00000000000000000000000000000000
χ7422-2-2-2-222-22-222-2-2-2222-20000000000000000-222-22-2-222i−2i2i−2i00000000−2i2i−2i2i-222-2−2i2i2i−2i00000000000000000000000000000000
χ7522-2-2-2-222-22-222-2-2-2222-20000000000000000-222-22-2-22−2i2i−2i2i000000002i−2i2i−2i2-2-22−2i2i2i−2i00000000000000000000000000000000
χ7622-2-2-2-222-22-222-2-2-2222-20000000000000000-222-22-2-22−2i2i−2i2i000000002i−2i2i−2i-222-22i−2i−2i2i00000000000000000000000000000000
χ7744444444-4-444-4-4-4-4-44-440000000000000000000000000000000000004-4-440000000000000000000000000000000000000000
χ7844444444-4-444-4-4-4-4-44-44000000000000000000000000000000000000-444-40000000000000000000000000000000000000000
χ7944444444-4-4-4-444-444-4-4-40000000000000000000000004-4-440000000000000000000000000000000000000000000000000000
χ8044444444-4-4-4-444-444-4-4-4000000000000000000000000-444-40000000000000000000000000000000000000000000000000000
χ814444-4-4-4-4444444-4-4-4-4-4-44444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ824444-4-4-4-4444444-4-4-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000000000000000000
χ834444-4-4-4-444-4-4-4-4-4444-4400000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ844444-4-4-4-444-4-4-4-4-4444-440000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ8544-4-444-4-44-4-44-44-4-44-444000000000000000044-4-4-4-44400000000000000000000000000000000000000000000000000000000
χ8644-4-444-4-44-4-44-44-4-44-4440000000000000000-4-44444-4-400000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-4-444-4-444-444-4-4000000004-4-444-4-440000000000000000000000000000000000000000000000000000000000000000
χ8844-4-444-4-4-444-4-444-444-4-400000000-444-4-444-40000000000000000000000000000000000000000000000000000000000000000
χ8944-4-444-4-4-44-444-444-4-4-44000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-4-44-444-444-4-4-4400000000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-444-444-4-44-44-4-44400000000000000004-44-4-44-4400000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-444-444-4-44-44-4-4440000000000000000-44-444-44-400000000000000000000000000000000000000000000000000000000
χ938-88-88i−8i8i−8i0000000000004-44-44i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-88i−8i8i−8i000000000000-44-44−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8−8i8i−8i8i0000000000004-44-4−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8−8i8i−8i8i000000000000-44-444i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-888i−8i−8i8i0000000000004-4-444i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-888i−8i−8i8i000000000000-444-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-88−8i8i8i−8i0000000000004-4-44−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88−8i8i8i−8i000000000000-444-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000

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