Finite Group Databasebeta

← Group #72316089

Character table — Group #72316089

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103
size1111222222224444444444444444444444444888888888888888888888888888888888161616161616161616161616161616161616161616161616161632323232323232
order1222222222442222222244444444488888888222222244444444444444888888888888222222244444444444888888884444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1111
χ5111111111111111111-1-111111111111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1
χ6111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ7111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111
χ8111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111-1-1-111111111-1111-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-11111-1-11-1-11-1-11111-1-1-1-111-1-11-1-1
χ1011111111111111-1-1-1-11111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-11-1-11-1-1-111-1-1-1-11111-1-111-111
χ1111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1111111-1-1-1111-1-1-1-1-1-11111-11-1-1-111
χ1211111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1111111111-1-1-111-1-1-11-1-1-111-1111111-1-1-1-11-1111-1-1
χ1311111111111111-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-1-111-1111-1-11111-1-1-1-1-1-111-111
χ1411111111111111-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-111-111-111-111-1-1-1-1111111-1-11-1-1
χ1511111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-111111111-1111-1-11-1-1-1111-1-11-1-1-1-1-1-111111-1111-1-1
χ1611111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-111111111-1111-1-1-111-1111-1-1-1111111-1-1-1-1-11-1-1-111
χ17111111111111-1-111-1-111-1-111-1-1111111111111111111-11-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11-1111-11-1-11-1-11-111-1-111-1-11-11-1-11-1
χ18111111111111-1-111-1-111-1-111-1-1111111111111111111-11-1-11-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11-1-1-1-1-11-1-11-11-11-1-111-1-111-11-111-11
χ19111111111111-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11-111-1-111-1-11111-1-1-1-11111-11-11-11111-11-11-11-11-1-1-111-1-111-1-11-11-11
χ20111111111111-1-111-1-111-1-111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11-1-1-111-1-1111111-1-1-1-11111-11-11-11-1-1-1-11-11-111-1111-1-111-1-111-11-11-1
χ21111111111111-1-111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-11-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11-111-111-1-11-111-11-11-111-1-111-1-1-11-111-11
χ22111111111111-1-111-1-1-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-11-1-11-1-1-111-1-111-1-1-1-11111-1-1-1-11-111-11-1111-111-111-11-1-111-1-1111-11-1-11-1
χ23111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-111-1-111-1-11111-1-1-1-111111-11-11-11-1-11-11-11-1-11-1-1-111-1-11111-11-11-1
χ24111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-111-1-1111111-1-1-1-111111-11-11-1-1111-11-11-11-1111-1-111-1-1-1-11-11-11
χ25111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-11-1-11-1-1111-1-1-1-1111-1-11-1-11
χ26111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-1-1-11-1-1111-1-1-11111-1-1-111-111-1
χ27111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-1-1-1-11111111111-1-1-1-1-1-1111-1111-1-1111-1-1-11-1-11111-1-1-1-1-1111-1
χ28111111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-11-1-11111-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-111-111-1-1-1-111111-1-1-11
χ29111111111111-1-1-1-111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-11-1-111-111-1-1-1111-1-1-1-111-111-111-1
χ30111111111111-1-1-1-111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-111-1-11111-111-111-1-1-11111-1-11-1-11-1-11
χ31111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-1-1-11111111111-1-1-1-111-1-1-111-1-111-1-1-11-1-11-1-11111-1-1111-1-1-11
χ32111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-11111-1-111111111-1-1-1-111-1-1-11-11111-1-1-1111-111-1-1-1-111-1-1-1111-1
χ332222222222-2-222222200222222-2-2-2000000000000000-2-2-2-2-2-222222222000000000000000000-200000000-2-2-2000000000000000
χ342222222222-2-222222200222222-2-2-2000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000200000000222000000000000000
χ352222222222-2-222-2-2-2-20022-2-2-2-2-2-2-2000000000000000-222-2222222-2-2-2-2000000000000000000-200000000-222000000000000000
χ362222222222-2-222-2-2-2-20022-2-2-2-2-2-2-2000000000000000-222-222-2-2-2-222220000000000000000002000000002-2-2000000000000000
χ372222222222-2-2-2-222-2-200-2-222-2-2-2-2-20000000000000002-222-2222-2-222-2-2000000000000000000-2000000002-22000000000000000
χ382222222222-2-2-2-222-2-200-2-222-2-2-2-2-20000000000000002-222-22-2-222-2-222000000000000000000200000000-22-2000000000000000
χ392222222222-2-2-2-2-2-22200-2-2-2-222-2-2-200000000000000022-222-222-2-2-2-222000000000000000000-20000000022-2000000000000000
χ402222222222-2-2-2-2-2-22200-2-2-2-222-2-2-200000000000000022-222-2-2-22222-2-2000000000000000000200000000-2-22000000000000000
χ4122222-2-22-2-222000022220000-2-22-2-22222-2-2-2-22-2-222-2-200-2002000000000000000022-2-200200200000-200-2000000000000000000
χ4222222-2-22-2-222000022220000-2-22-2-2-2-2-2-222222-2-2-2-22200-20020000000000000000-2-22200200-200000-2002000000000000000000
χ4322222-2-22-2-222000022-2-20000-2-22-2-22222-2-2-2-2-222-2-22200-2002000000000000000022-2-200-200-2000002002000000000000000000
χ4422222-2-22-2-222000022-2-20000-2-22-2-2-2-2-2-22222-22222-2-200-20020000000000000000-2-22200-200200000200-2000000000000000000
χ4522222-2-22-2-2220000-2-2220000222-2-22222-2-2-2-22-2-222-2-200200-20000000000000000-2-22200-200-2000002002000000000000000000
χ4622222-2-22-2-2220000-2-2220000222-2-2-2-2-2-222222-2-2-2-22200200-2000000000000000022-2-200-200200000200-2000000000000000000
χ4722222-2-22-2-2220000-2-2-2-20000222-2-22222-2-2-2-2-222-2-22200200-20000000000000000-2-22200200200000-200-2000000000000000000
χ4822222-2-22-2-2220000-2-2-2-20000222-2-2-2-2-2-22222-22222-2-200200-2000000000000000022-2-200200-200000-2002000000000000000000
χ492222-22-2-22-2220022002200-2-200-22-222-2-222-2-2-22-22-22-20-2002000000000000022-2-200000200200000-200-20000000000000000000
χ502222-22-2-22-2220022002200-2-200-22-2-2-222-2-222-22-2-22-220-20020000000000000-2-22200000200-200000-20020000000000000000000
χ512222-22-2-22-222002200-2-200-2-200-22-222-2-222-2-22-22-22-220-2002000000000000022-2-200000-200-20000020020000000000000000000
χ522222-22-2-22-222002200-2-200-2-200-22-2-2-222-2-2222-222-22-20-20020000000000000-2-22200000-200200000200-20000000000000000000
χ532222-22-2-22-22200-2-20022002200-22-222-2-222-2-2-22-22-22-20200-20000000000000-2-22200000-200-20000020020000000000000000000
χ542222-22-2-22-22200-2-20022002200-22-2-2-222-2-222-22-2-22-220200-2000000000000022-2-200000-200200000200-20000000000000000000
χ552222-22-2-22-22200-2-200-2-2002200-22-222-2-222-2-22-22-22-220200-20000000000000-2-22200000200200000-200-20000000000000000000
χ562222-22-2-22-22200-2-200-2-2002200-22-2-2-222-2-2222-222-22-20200-2000000000000022-2-200000200-200000-20020000000000000000000
χ572222-2-22-2-222222000022-2-20000-2-2222-2-2-2-222-2-222-2-22-2002000000000022-2-200000000200200000-200-200000000000000000000
χ582222-2-22-2-222222000022-2-20000-2-22-2-22222-2-2-2-22-222-2-20020000000000-2-22200000000200-200000-200200000000000000000000
χ592222-2-22-2-2222220000-2-2-2-20000-2-2222-2-2-2-22222-2-222-2-2002000000000022-2-200000000-200-200000200200000000000000000000
χ602222-2-22-2-2222220000-2-2-2-20000-2-22-2-22222-2-222-22-2-22-20020000000000-2-22200000000-200200000200-200000000000000000000
χ612222-2-22-2-2222-2-2000022220000-2-2222-2-2-2-222-2-222-2-22200-20000000000-2-22200000000-200-200000200200000000000000000000
χ622222-2-22-2-2222-2-2000022220000-2-22-2-22222-2-2-2-22-222-2200-2000000000022-2-200000000-200200000200-200000000000000000000
χ632222-2-22-2-2222-2-20000-2-2220000-2-2222-2-2-2-22222-2-222-2200-20000000000-2-22200000000200200000-200-200000000000000000000
χ642222-2-22-2-2222-2-20000-2-2220000-2-22-2-22222-2-222-22-2-22200-2000000000022-2-200000000200-200000-200200000000000000000000
χ652-2-22222-2-2-2002-22-22-2002-22-22-20002−22−22−22−200000000000002i−2i2i−2i2i−2i2i−2i2−22−22−22−22−22−2000000000000000000i2−i2i2−i2i2−i2i2−i20000000
χ662-2-22222-2-2-2002-22-22-2002-22-22-20002−22−22−22−20000000000000−2i2i−2i2i−2i2i−2i2i2−22−22−22−22−22−2000000000000000000−i2i2−i2i2−i2i2−i2i20000000
χ672-2-22222-2-2-2002-22-22-2002-22-22-2000−22−22−22−2200000000000002i−2i2i−2i2i−2i2i−2i−22−22−22−22−22−22000000000000000000−i2i2−i2i2−i2i2−i2i20000000
χ682-2-22222-2-2-2002-22-22-2002-22-22-2000−22−22−22−220000000000000−2i2i−2i2i−2i2i−2i2i−22−22−22−22−22−22000000000000000000i2−i2i2−i2i2−i2i2−i20000000
χ692-2-22222-2-2-2002-2-22-22002-2-22-220002−22−22−22−200000000000002i−2i2i−2i−2i2i−2i2i2−22−2−22−22−22−22000000000000000000i2−i2i2−i2−i2i2−i2i20000000
χ702-2-22222-2-2-2002-2-22-22002-2-22-220002−22−22−22−20000000000000−2i2i−2i2i2i−2i2i−2i2−22−2−22−22−22−22000000000000000000−i2i2−i2i2i2−i2i2−i20000000
χ712-2-22222-2-2-2002-2-22-22002-2-22-22000−22−22−22−2200000000000002i−2i2i−2i−2i2i−2i2i−22−222−22−22−22−2000000000000000000−i2i2−i2i2i2−i2i2−i20000000
χ722-2-22222-2-2-2002-2-22-22002-2-22-22000−22−22−22−220000000000000−2i2i−2i2i2i−2i2i−2i−22−222−22−22−22−2000000000000000000i2−i2i2−i2−i2i2−i2i20000000
χ732-2-22222-2-2-200-222-2-2200-222-2-220002−22−22−22−200000000000002i−2i−2i2i2i−2i−2i2i−22−222−22−2−22−22000000000000000000i2−i2−i2i2i2−i2−i2i20000000
χ742-2-22222-2-2-200-222-2-2200-222-2-220002−22−22−22−20000000000000−2i2i2i−2i−2i2i2i−2i−22−222−22−2−22−22000000000000000000−i2i2i2−i2−i2i2i2−i20000000
χ752-2-22222-2-2-200-222-2-2200-222-2-22000−22−22−22−2200000000000002i−2i−2i2i2i−2i−2i2i2−22−2−22−222−22−2000000000000000000−i2i2i2−i2−i2i2i2−i20000000
χ762-2-22222-2-2-200-222-2-2200-222-2-22000−22−22−22−220000000000000−2i2i2i−2i−2i2i2i−2i2−22−2−22−222−22−2000000000000000000i2−i2−i2i2i2−i2−i2i20000000
χ772-2-22222-2-2-200-22-222-200-22-222-20002−22−22−22−200000000000002i−2i−2i2i−2i2i2i−2i−22−22−22−222−22−2000000000000000000i2−i2−i2i2−i2i2i2−i20000000
χ782-2-22222-2-2-200-22-222-200-22-222-20002−22−22−22−20000000000000−2i2i2i−2i2i−2i−2i2i−22−22−22−222−22−2000000000000000000−i2i2i2−i2i2−i2−i2i20000000
χ792-2-22222-2-2-200-22-222-200-22-222-2000−22−22−22−2200000000000002i−2i−2i2i−2i2i2i−2i2−22−22−22−2−22−22000000000000000000−i2i2i2−i2i2−i2−i2i20000000
χ802-2-22222-2-2-200-22-222-200-22-222-2000−22−22−22−220000000000000−2i2i2i−2i2i−2i−2i2i2−22−22−22−2−22−22000000000000000000i2−i2−i2i2−i2i2i2−i20000000
χ8144444-4-44-4-4-4-4000044000000-4-4-44400000000000000000400-400000000000000000000000000000000000000000000000000000
χ8244444-4-44-4-4-4-40000-4-400000044-44400000000000000000-400400000000000000000000000000000000000000000000000000000
χ834444-44-4-44-4-4-40044000000-4-4004-440000000000000000400-4000000000000000000000000000000000000000000000000000000
χ844444-44-4-44-4-4-400-4-400000044004-440000000000000000-4004000000000000000000000000000000000000000000000000000000
χ854444-4-44-4-44-4-444000000-4-4000044-4000000000000000400-40000000000000000000000000000000000000000000000000000000
χ864444-4-44-4-44-4-4-4-400000044000044-4000000000000000-40040000000000000000000000000000000000000000000000000000000
χ874-4-444-4-4-4440000004-4000000-4400022−2222−22−2222−22220000000000000000000000000000022−22−2222000000000000000000000000000000000
χ884-4-444-4-4-4440000004-4000000-44000−2222−222222−2222−2200000000000000000000000000000−222222−22000000000000000000000000000000000
χ894-4-444-4-4-444000000-440000004-400022−2222−22−2222−222200000000000000000000000000000−222222−22000000000000000000000000000000000
χ904-4-444-4-4-444000000-440000004-4000−2222−222222−2222−220000000000000000000000000000022−22−2222000000000000000000000000000000000
χ914-4-44-44-44-4400004-4000000-440000022−22−222222−22−2222000000000000000000000000022−22−22220000000000000000000000000000000000000
χ924-4-44-44-44-4400004-4000000-4400000−222222−22−222222−220000000000000000000000000−222222−220000000000000000000000000000000000000
χ934-4-44-44-44-440000-440000004-40000022−22−222222−22−22220000000000000000000000000−222222−220000000000000000000000000000000000000
χ944-4-44-44-44-440000-440000004-400000−222222−22−222222−22000000000000000000000000022−22−22220000000000000000000000000000000000000
χ954-4-44-4-4444-4004-4000000-44000000022−22−2222−222222−2200000000000000000000022−22−222200000000000000000000000000000000000000000
χ964-4-44-4-4444-4004-4000000-440000000−222222−2222−22−2222000000000000000000000−222222−2200000000000000000000000000000000000000000
χ974-4-44-4-4444-400-440000004-4000000022−22−2222−222222−22000000000000000000000−222222−2200000000000000000000000000000000000000000
χ984-4-44-4-4444-400-440000004-40000000−222222−2222−22−222200000000000000000000022−22−222200000000000000000000000000000000000000000
χ998-88-80000008-8000000000000000000000000000000000000000000000000000000000000000004-4000000000000000000000000
χ1008-88-80000008-800000000000000000000000000000000000000000000000000000000000000000-44000000000000000000000000
χ1018-88-8000000-880000008-800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8000000-88000000-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1031616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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