Finite Group Databasebeta

← Group #72310997

Character table — Group #72310997

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222222244444444444488888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161632323232
order1222222222222244442222224444442222222244444444448888888888882222444444444444444444444444448888884488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-111-111111-1-111111111-1-1-1-1-111-111-1-1-1-1
χ911111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111
χ1011111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ1111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1
χ1211111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1111-1-11111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ1311111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-111-1-1
χ1411111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-11-1111111-1-1-1-11111-1-1-1-1-111-111-1-111
χ1511111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111111111-1-11111-1-1-1-111111-1-11-1-1-1-111
χ1611111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11111-1-11-1-1-1-1-1-1-11111-1-1-1-11111-111-11111-1-1
χ171111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-11-111-1-11-111-1-111111111-1-1-1-111-111-11-11-1-1-111-1-11-111-1-111-1-111-1-1-11-1-11-11-11-1
χ181111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-11-111-1-11-111-1-1-1-1-1-1-1-1-1-111111-11-11-1-11-11-11-1-1111-111-1-111-1-111-1-11-111-11-11-11
χ191111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-11-111-1-11-1-1-1111111-1-1-1-1111111-111-11-11-1-1-1-1-111-11-1-111-1-111-1-111-11-1-11-1-11-11
χ201111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-11-111-1-11-1-1-111-1-1-1-11111-1-1-1-11-11-11-1-11-11-1111-1-1-11-1-111-1-111-1-1111-111-111-11-1
χ211111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-1-11-1-111-1111-1-111111111-1-1-1-1-11-1-1-111-1-111111-1-11-1-1-111-1-11111-1-1-1-11-1-11-11-11
χ221111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-1-11-1-111-1111-1-1-1-1-1-1-1-1-1-11111-1-111-11-111-11-1-1-1111-1-1-111-1-11111-1-111-111-11-11-1
χ231111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-1-11-1-111-11-1-1111111-1-1-1-11111-11-1-1-111-1-1111-1-111-1111-1-111-1-1-1-111-1-11-1-111-11-1
χ241111-1-1-1-1111111-1-111-1-111-1-111-1-1-11111-1-1-1-11-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-111-11-111-11-111-1-1-1111-1-111-1-1-1-11111-111-1-11-11
χ251111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-11111-111-1-11-111-1-111111111-1-1-1-1-1-11-1-11-11-1111-1-1111-111-1-1-1-111-1-111-11-1-11-1-111-1
χ261111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-11111-111-1-11-111-1-1-1-1-1-1-1-1-1-11111-11-11-111-11-11-111-1-11-111-1-1-1-111-1-1111-111-111-1-11
χ271111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-11111-111-1-11-1-1-1111111-1-1-1-11111-1-11-1-11-11-111111-1-1-11-1-11111-1-111-1-1-11-1-11-11-1-11
χ281111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-11111-111-1-11-1-1-111-1-1-1-11111-1-1-1-1-11-11-111-11-11-1-1-111-11-1-11111-1-111-1-11-111-11-111-1
χ291111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-1111-11-1-111-1111-1-111111111-1-1-1-11-1111-1-111-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11-1-111-1-11
χ301111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-1111-11-1-111-1111-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1-11-1111-1-11-1-1-11111-1-1-1-11111-111-1-111-1
χ311111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-1111-11-1-111-11-1-1111111-1-1-1-111111-1111-1-111-1-1-111-1-1-1111-1-1-1-11111-1-1-1-11-1-11-111-1
χ321111-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-1-1-1111-11-1-111-11-1-111-1-1-1-11111-1-1-1-111-1-11-11-1-11-11-1-111-1111-1-1-1-11111-1-111-111-11-1-11
χ3322222222222222-2-2-2-2220000-2-2-2-2-2-20000002-22-22-2-2222220000000000000000000000000000-2-22-22-2000000000000000000
χ3422222222222222-2-2-2-2220000-2-2-2-2-2-20000002-22-22-2-22-2-2-2-2000000000000000000000000000022-22-22000000000000000000
χ3522222222222222-2-2-2-2220000-2-2-2-2-2-2000000-22-22-222-222220000000000000000000000000000-2-2-22-22000000000000000000
χ3622222222222222-2-2-2-2220000-2-2-2-2-2-2000000-22-22-222-2-2-2-2-20000000000000000000000000000222-22-2000000000000000000
χ37222222222-2-2-2-222222-2-222222-22-2-2-22-2-22-2-200000000000022-2-200000000022000-2-20000000000000000000000200-2000000
χ38222222222-2-2-2-222222-2-222222-22-2-2-22-2-22-2-2000000000000-2-222000000000-2-2000220000000000000000000000-2002000000
χ39222222222-2-2-2-222222-2-2-2-2-2-22-22-2-2-2-222-22200000000000022-2-2000000000-2-2000220000000000000000000000200-2000000
χ40222222222-2-2-2-222222-2-2-2-2-2-22-22-2-2-2-222-222000000000000-2-22200000000022000-2-20000000000000000000000-2002000000
χ41222222-2-2-222-2-2-222222-22222-2-2-22-22-22-2-22-222-222-2-2-200000000000000002000-220000-200000000000000000000000000000
χ42222222-2-2-222-2-2-222222-22222-2-2-22-22-22-2-22-2-2-22-2-22220000000000000000-20002-20000200000000000000000000000000000
χ43222222-2-2-222-2-2-222222-2-2-2-2-2-2-2-22-222-222-2222-222-2-2-20000000000000000-20002-20000200000000000000000000000000000
χ44222222-2-2-222-2-2-222222-2-2-2-2-2-2-2-22-222-222-22-2-22-2-222200000000000000002000-220000-200000000000000000000000000000
χ45222222-2-2-222-2-2-2-2-2-2-22-20000222-22-20000002-2-2-2222-2000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ46222222-2-2-222-2-2-2-2-2-2-22-20000222-22-20000002-2-2-2222-200000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ47222222-2-2-222-2-2-2-2-2-2-22-20000222-22-2000000-2222-2-2-22000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ48222222-2-2-222-2-2-2-2-2-2-22-20000222-22-2000000-2222-2-2-2200000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ49222222-2-2-2-2-222-22222-222222-22-2-22-2-2-22-2-2200000000000000000000000000020000-220-20000000000000000000220-2-20000
χ50222222-2-2-2-2-222-22222-222222-22-2-22-2-2-22-2-22000000000000000000000000000-200002-2020000000000000000000-2-20220000
χ51222222-2-2-2-2-222-22222-22-2-2-2-2-22-2-22-222-222-200000000000000000000000000020000-220-20000000000000000000-2-20220000
χ52222222-2-2-2-2-222-22222-22-2-2-2-2-22-2-22-222-222-2000000000000000000000000000-200002-2020000000000000000000220-2-20000
χ532222-2-222-222-2-2-222-2-2-22000022-22-2-200000022-2-2-2-222000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ542222-2-222-222-2-2-222-2-2-22000022-22-2-200000022-2-2-2-22200000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ552222-2-222-222-2-2-222-2-2-22000022-22-2-2000000-2-22222-2-2000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ562222-2-222-222-2-2-222-2-2-22000022-22-2-2000000-2-22222-2-200000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ572222-2-222-222-2-2-2-2-222-2222-2-2-2-22-222-22-22-222-2-22-22-2200000000000000002000-2-20000200000000000000000000000000000
χ582222-2-222-222-2-2-2-2-222-2222-2-2-2-22-222-22-22-22-222-22-22-20000000000000000-2000220000-200000000000000000000000000000
χ592222-2-222-222-2-2-2-2-222-22-2-222-2-22-2222-22-22-22-2-22-22-220000000000000000-2000220000-200000000000000000000000000000
χ602222-2-222-222-2-2-2-2-222-22-2-222-2-22-2222-22-22-2-222-22-22-200000000000000002000-2-20000200000000000000000000000000000
χ612222-2-222-2-2-222-2-2-2222-222-2-2-2222-2-2-2-2222-200000000000000000000000000020000-2-20200000000000000000002-20-220000
χ622222-2-222-2-2-222-2-2-2222-222-2-2-2222-2-2-2-2222-2000000000000000000000000000-20000220-20000000000000000000-2202-20000
χ632222-2-222-2-2-222-2-2-2222-2-2-222-2222-2-222-2-2-2200000000000000000000000000020000-2-2020000000000000000000-2202-20000
χ642222-2-222-2-2-222-2-2-2222-2-2-222-2222-2-222-2-2-22000000000000000000000000000-20000220-200000000000000000002-20-220000
χ652222-2-2-2-222222222-2-2-2-20000-2-2222-2000000222-2-22-2-222-2-20000000000000000000000000000-222-2-22000000000000000000
χ662222-2-2-2-222222222-2-2-2-20000-2-2222-2000000222-2-22-2-2-2-22200000000000000000000000000002-2-222-2000000000000000000
χ672222-2-2-2-222222222-2-2-2-20000-2-2222-2000000-2-2-222-22222-2-20000000000000000000000000000-22-222-2000000000000000000
χ682222-2-2-2-222222222-2-2-2-20000-2-2222-2000000-2-2-222-222-2-22200000000000000000000000000002-22-2-22000000000000000000
χ692222-2-2-2-22-2-2-2-22-2-2222222-2-22-2-222-22-2-2-22200000000000022-2-20000000002-2000-220000000000000000000000-2002000000
χ702222-2-2-2-22-2-2-2-22-2-2222222-2-22-2-222-22-2-2-222000000000000-2-222000000000-220002-20000000000000000000000200-2000000
χ712222-2-2-2-22-2-2-2-22-2-22222-2-2222-2-222-2-2222-2-200000000000022-2-2000000000-220002-20000000000000000000000-2002000000
χ722222-2-2-2-22-2-2-2-22-2-22222-2-2222-2-222-2-2222-2-2000000000000-2-2220000000002-2000-220000000000000000000000200-2000000
χ73444444444-4-4-4-44-4-4-4-4-4-40000-44-44440000000000000000000000000000000000000000000000000000000000000000000000
χ74444444-4-4-4-4-444-4-4-4-4-4-4400004-444-440000000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-444-4-4-444-444-4-44-400004-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-44-4-4-4-4444-4-4440000-444-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ7744-4-4000044-44-4-4000000000000000000000000000000004i−4i22−2222−2200002i22i2−2i2−2i20000000000000000000000000000000000000000
χ7844-4-4000044-44-4-4000000000000000000000000000000004i−4i−2222−22220000−2i2−2i22i22i20000000000000000000000000000000000000000
χ7944-4-4000044-44-4-400000000000000000000000000000000−4i4i22−2222−220000−2i2−2i22i22i20000000000000000000000000000000000000000
χ8044-4-4000044-44-4-400000000000000000000000000000000−4i4i−2222−222200002i22i2−2i2−2i20000000000000000000000000000000000000000
χ8144-4-400004-44-44-40000000000000000000000000000004i−4i0022−22−22222i22i2−2i2−2i200000000000000000000000000000000000000000000
χ8244-4-400004-44-44-40000000000000000000000000000004i−4i00−222222−22−2i2−2i22i22i200000000000000000000000000000000000000000000
χ8344-4-400004-44-44-4000000000000000000000000000000−4i4i0022−22−2222−2i2−2i22i22i200000000000000000000000000000000000000000000
χ8444-4-400004-44-44-4000000000000000000000000000000−4i4i00−222222−222i22i2−2i2−2i200000000000000000000000000000000000000000000
χ854-44-44-4000000004-44-4004-44-400000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i000000000000000000000000
χ864-44-44-4000000004-44-4004-44-40000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000000000
χ874-44-44-4000000004-44-400-44-4400000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000−2i2i−2i2i000000000000000000000000
χ884-44-44-4000000004-44-400-44-440000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000002i−2i2i−2i000000000000000000000000
χ894-44-4-4400000000-444-4004-4-4400000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000002i−2i−2i2i000000000000000000000000
χ904-44-4-4400000000-444-4004-4-440000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000−2i2i2i−2i000000000000000000000000
χ914-44-4-4400000000-444-400-444-400000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000−2i2i2i−2i000000000000000000000000
χ924-44-4-4400000000-444-400-444-40000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000002i−2i−2i2i000000000000000000000000
χ9388-8-80000-88-8-88800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-80000-8-888-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-88-800000000-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-88000000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88008-80000000000000000000000000000000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ988-8-88008-800000000000000000000000000000000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ998-8-8800-880000000000000000000000000000000000000000000022−22−2222−222222−220000000000000000000000000000000000000000
χ1008-8-8800-8800000000000000000000000000000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000

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