Finite Group Databasebeta

← Group #72266722

Character table — Group #72266722

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222448888888888888888888888888888161616161616161616161616161616161616161632323232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222444444444444222244444444444444442444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-111-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-111-1-111
χ1111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ1211111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-111
χ17222222222222222222-2-22222222222-2-2-2-22222-2-2-2-2-2-20000000022-2-22222-2-2-2-20-2-20000000000000000000000000000000
χ18222222222222222222-2-22222222222-2-2-2-2-2-2-2-22222-2-200000000-2-222-2-2-2-222220-2-20000000000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-20000000022-2-2-2-2-2-222220220000000000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-200000000-2-2222222-2-2-2-20220000000000000000000000000000000
χ212222222222222222-2-2222222-2-2-2-2-2-222-2-200000000-2-22200220000000000000002-2000-2-22-2000000002-200000000000000
χ222222222222222222-2-2222222-2-2-2-2-2-222-2-200000000-2-2-2-200-2-20000000000000002-200022-2200000000-2200000000000000
χ232222222222222222-2-222-2-2-2-22222-2-222-2-200000000-2-2220022000000000000000-22000-2-2-2200000000-2200000000000000
χ242222222222222222-2-222-2-2-2-22222-2-222-2-200000000-2-2-2-200-2-2000000000000000-22000222-2000000002-200000000000000
χ252222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2220000000022002200220000000000000-2200000002-2-2-20000002-2000000000000
χ262222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222000000002200-2-200-2-20000000000000-220000000-2222000000-22000000000000
χ272222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000220022002200000000000002-20000000-22-2-2000000-22000000000000
χ282222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222000000002200-2-200-2-200000000000002-200000002-2220000002-2000000000000
χ292222222222-2-2-2-2-2-2222-200000000-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2000000002i−2i2i−2i000000000000000000000022-2-20000002i−2i00000000
χ302222222222-2-2-2-2-2-2222-200000000-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2000000002i−2i2i−2i0000000000000000000000-2-222000000−2i2i00000000
χ312222222222-2-2-2-2-2-2222-200000000-2-22-22-2−2i−2i2i2i−2i−2i2i2i2-200000000−2i2i−2i2i000000000000000000000022-2-2000000−2i2i00000000
χ322222222222-2-2-2-2-2-2222-200000000-2-22-22-2−2i−2i2i2i−2i−2i2i2i2-200000000−2i2i−2i2i0000000000000000000000-2-2220000002i−2i00000000
χ332222222222-2-2-2-2-2-222-2200000000-2-2-22-222i2i−2i−2i−2i−2i2i2i-22000000002i−2i−2i2i00000000200-2-2200000000000000002i−2i0000000000
χ342222222222-2-2-2-2-2-222-2200000000-2-2-22-222i2i−2i−2i−2i−2i2i2i-22000000002i−2i−2i2i00000000-20022-20000000000000000−2i2i0000000000
χ352222222222-2-2-2-2-2-222-2200000000-2-2-22-22−2i−2i2i2i2i2i−2i−2i-2200000000−2i2i2i−2i00000000200-2-220000000000000000−2i2i0000000000
χ362222222222-2-2-2-2-2-222-2200000000-2-2-22-22−2i−2i2i2i2i2i−2i−2i-2200000000−2i2i2i−2i00000000-20022-200000000000000002i−2i0000000000
χ372222-2-222-2-22222-2-22-22-2000000002-2-222-200000000-222222-2-2-2-2000022-2-222-2-20000002-200002-200000000000000000000
χ382222-2-222-2-22222-2-22-22-2000000002-2-222-200000000-2222-2-2-2-2220000-2-222-2-2220000002-20000-2200000000000000000000
χ392222-2-222-2-22222-2-22-22-2000000002-2-222-200000000-22-2-22222-2-20000-2-222-2-222000000-2200002-200000000000000000000
χ402222-2-222-2-22222-2-22-22-2000000002-2-222-200000000-22-2-2-2-22222000022-2-222-2-2000000-220000-2200000000000000000000
χ412222-2-222-2-22222-2-22-2-22000000002-22-2-22000000002-200000000000022-2-2-2-22200000000222-2000000-2-2-22000000000000
χ422222-2-222-2-22222-2-22-2-22000000002-22-2-22000000002-200000000000022-2-2-2-22200000000-2-2-22000000222-2000000000000
χ432222-2-222-2-22222-2-22-2-22000000002-22-2-22000000002-2000000000000-2-22222-2-20000000022-22000000-2-22-2000000000000
χ442222-2-222-2-22222-2-22-2-22000000002-22-2-22000000002-2000000000000-2-22222-2-200000000-2-22-200000022-22000000000000
χ452222-2-222-2-22222-2-2-222-200000000-22-22-22222222222-22200-2-200-2-2-2-200000000000000-2200-2-20000000022000000000000
χ462222-2-222-2-22222-2-2-222-200000000-22-22-22222222222-2-2-2002200-2-2-2-2000000000000002-2002200000000-2-2000000000000
χ472222-2-222-2-22222-2-2-222-200000000-22-22-22-2-2-2-2-2-2-2-22-22200-2-200222200000000000000-22002200000000-2-2000000000000
χ482222-2-222-2-22222-2-2-222-200000000-22-22-22-2-2-2-2-2-2-2-22-2-2-20022002222000000000000002-200-2-20000000022000000000000
χ492222-2-222-2-22222-2-2-22-2200000000-222-22-22222-2-2-2-2-22002200-2-2-2-2220000000000000000-2200-2200002-200000000000000
χ502222-2-222-2-22222-2-2-22-2200000000-222-22-22222-2-2-2-2-2200-2-20022-2-22200000000000000002-2002-20000-2200000000000000
χ512222-2-222-2-22222-2-2-22-2200000000-222-22-2-2-2-2-22222-22002200-2-222-2-200000000000000002-200-220000-2200000000000000
χ522222-2-222-2-22222-2-2-22-2200000000-222-22-2-2-2-2-22222-2200-2-2002222-2-20000000000000000-22002-200002-200000000000000
χ532222-2-222-2-2-2-2-2-222-2222000000002-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2200000000−2i2i−2i2i0000000000000000000000000000000000002i−2i002-2
χ542222-2-222-2-2-2-2-2-222-2222000000002-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2200000000−2i2i−2i2i000000000000000000000000000000000000−2i2i00-22
χ552222-2-222-2-2-2-2-2-222-2222000000002-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i22000000002i−2i2i−2i0000000000000000000000000000000000002i−2i00-22
χ562222-2-222-2-2-2-2-2-222-2222000000002-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i22000000002i−2i2i−2i000000000000000000000000000000000000−2i2i002-2
χ572222-2-222-2-2-2-2-2-222-22-2-2000000002-222222i2i−2i−2i−2i−2i2i2i-2-200000000−2i2i2i−2i00000000000000000000000000000000002-2002i−2i00
χ582222-2-222-2-2-2-2-2-222-22-2-2000000002-222222i2i−2i−2i−2i−2i2i2i-2-200000000−2i2i2i−2i0000000000000000000000000000000000-2200−2i2i00
χ592222-2-222-2-2-2-2-2-222-22-2-2000000002-22222−2i−2i2i2i2i2i−2i−2i-2-2000000002i−2i−2i2i00000000000000000000000000000000002-200−2i2i00
χ602222-2-222-2-2-2-2-2-222-22-2-2000000002-22222−2i−2i2i2i2i2i−2i−2i-2-2000000002i−2i−2i2i0000000000000000000000000000000000-22002i−2i00
χ614444444444-4-4-4-4-4-4-4-44-400000000444-4-4400000000-44000000000000000000000000000000000000000000000000000000
χ624444444444-4-4-4-4-4-4-4-4-440000000044-444-4000000004-4000000000000000000000000000000000000000000000000000000
χ634444-4-444-4-4-4-4-4-4444-44400000000-44-4-44400000000-4-4000000000000000000000000000000000000000000000000000000
χ644444-4-444-4-4-4-4-4-4444-4-4-400000000-4444-4-40000000044000000000000000000000000000000000000000000000000000000
χ654444-4-4-4-4444-44-44-40000000044-4-40000000000000000000000000000000000002002-2-2000000002-22-20000000000000000
χ664444-4-4-4-4444-44-44-40000000044-4-4000000000000000000000000000000000000-200-22200000000-22-220000000000000000
χ674444-4-4-4-4444-44-44-400000000-4-4440000000000000000000000000000000000002002-2-200000000-22-220000000000000000
χ684444-4-4-4-4444-44-44-400000000-4-444000000000000000000000000000000000000-200-222000000002-22-20000000000000000
χ694444-4-4-4-444-44-44-44000044-4-40000000000000000000000000000000000000000200-22-2000000002-2-220000000000000000
χ704444-4-4-4-444-44-44-44000044-4-40000000000000000000000000000000000000000-2002-2200000000-222-20000000000000000
χ714444-4-4-4-444-44-44-440000-4-4440000000000000000000000000000000000000000200-22-200000000-222-20000000000000000
χ724444-4-4-4-444-44-44-440000-4-4440000000000000000000000000000000000000000-2002-22000000002-2-220000000000000000
χ73888888-8-8-8-88-88-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ74888888-8-8-8-8-88-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7588-8-8000000080-800000000004-44-40000004i−4i4i−4i000000000000000000004i−4i00000000000000000000000000000000000000
χ7688-8-8000000080-800000000004-44-4000000−4i4i−4i4i00000000000000000000−4i4i00000000000000000000000000000000000000
χ7788-8-8000000080-80000000000-44-440000004i−4i4i−4i00000000000000000000−4i4i00000000000000000000000000000000000000
χ7888-8-8000000080-80000000000-44-44000000−4i4i−4i4i000000000000000000004i−4i00000000000000000000000000000000000000
χ7988-8-80000000-80800000000004-4-440000004-4-440000000000000000004-40000000000000000000000000000000000000000
χ8088-8-80000000-80800000000004-4-44000000-444-4000000000000000000-440000000000000000000000000000000000000000
χ8188-8-80000000-8080000000000-444-40000004-4-44000000000000000000-440000000000000000000000000000000000000000
χ8288-8-80000000-8080000000000-444-4000000-444-40000000000000000004-40000000000000000000000000000000000000000
χ838-88-800000080-800000004-44-4000000000000004i−4i4i−4i000000000000000000004i−4i0000000000000000000000000000000000
χ848-88-800000080-800000004-44-400000000000000−4i4i−4i4i00000000000000000000−4i4i0000000000000000000000000000000000
χ858-88-800000080-80000000-44-44000000000000004i−4i4i−4i00000000000000000000−4i4i0000000000000000000000000000000000
χ868-88-800000080-80000000-44-4400000000000000−4i4i−4i4i000000000000000000004i−4i0000000000000000000000000000000000
χ878-88-8000000-80800000004-4-44000000000000004-4-440000000000000000004-4000000000000000000000000000000000000
χ888-88-8000000-80800000004-4-4400000000000000-444-4000000000000000000-44000000000000000000000000000000000000
χ898-88-8000000-8080000000-444-4000000000000004-4-44000000000000000000-44000000000000000000000000000000000000
χ908-88-8000000-8080000000-444-400000000000000-444-40000000000000000004-4000000000000000000000000000000000000
χ918-8-888-88-88-80000000000000000000000000000000000004-4004-40000000000000000000000000000000000000000000000
χ928-8-888-88-88-8000000000000000000000000000000000000-4400-440000000000000000000000000000000000000000000000
χ938-8-888-8-88-8800000000000000000000000000000000004-4004-4000000000000000000000000000000000000000000000000
χ948-8-888-8-88-880000000000000000000000000000000000-4400-44000000000000000000000000000000000000000000000000
χ958-8-88-888-8-880000000000000000000000000000000000004-400-440000000000000000000000000000000000000000000000
χ968-8-88-888-8-88000000000000000000000000000000000000-44004-40000000000000000000000000000000000000000000000
χ978-8-88-88-888-800000000000000000000000000000000004-400-44000000000000000000000000000000000000000000000000
χ988-8-88-88-888-80000000000000000000000000000000000-44004-4000000000000000000000000000000000000000000000000

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