Finite Group Databasebeta

← Group #72321128

Character table — Group #72321128

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size111122222222222222444444448888888888888888888888881616161616161616161616161616161632323232323232323232323232323232
order1222222222444444448888888822448888161616161616161616161616161616164444888816161616161616162222444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-11111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-111-1-1-1-11111
χ911111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1011111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111-11-11111-1-1-1-1-1-1
χ1211111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11-11-1-1-1-1111111
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-11-1111-1-1-1-111-1-1
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-11-11-1-1-11111-1-111
χ17222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-222000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-2000000000000000000000000
χ21222222-2-2-2-22-2-22-222-2222-2-22-2-200000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000020-22i−2i00000000
χ22222222-2-2-2-22-2-22-222-2222-2-22-2-200000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000-202−2i2i00000000
χ23222222-2-2-2-22-2-22-222-2222-2-22-2-20000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000020-2−2i2i00000000
χ24222222-2-2-2-22-2-22-222-2222-2-22-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000-2022i−2i00000000
χ252222-2-222-2-2-22-22-22-222-2-22-22-22000000002222-2-2-2-20000000000000000000000002-220-200000000000
χ262222-2-222-2-2-22-22-22-222-2-22-22-22000000002222-2-2-2-2000000000000000000000000-22-20200000000000
χ272222-2-222-2-2-22-22-22-222-2-22-22-2200000000-2-2-2-222220000000000000000000000002-2-20200000000000
χ282222-2-222-2-2-22-22-22-222-2-22-22-2200000000-2-2-2-22222000000000000000000000000-2220-200000000000
χ292222-2-2-2-22222-2-2-2-2220000000022-2-2000022−2−222−2−222−2−222−2−22-22-2000022−2−222−2−20000000000000000
χ302222-2-2-2-22222-2-2-2-2220000000022-2-2000022−2−222−2−222−2−222−2−2-22-220000−2−222−2−2220000000000000000
χ312222-2-2-2-22222-2-2-2-2220000000022-2-20000−2−222−2−222−2−222−2−2222-22-20000−2−222−2−2220000000000000000
χ322222-2-2-2-22222-2-2-2-2220000000022-2-20000−2−222−2−222−2−222−2−222-22-22000022−2−222−2−20000000000000000
χ332222-2-2-2-22222-2-2-2-22200000000-2-222000022−2−222−2−2−2−222−2−2222-2-22000022−2−2−2−2220000000000000000
χ342222-2-2-2-22222-2-2-2-22200000000-2-222000022−2−222−2−2−2−222−2−222-222-20000−2−22222−2−20000000000000000
χ352222-2-2-2-22222-2-2-2-22200000000-2-2220000−2−222−2−22222−2−222−2−22-2-220000−2−22222−2−20000000000000000
χ362222-2-2-2-22222-2-2-2-22200000000-2-2220000−2−222−2−22222−2−222−2−2-222-2000022−2−2−2−2220000000000000000
χ372-2-222-22-22-22-2-2-222-2222-2-2-2-222000000002-22-22-22-200000000000000000000000000000000002-22-200
χ382-2-222-22-22-22-2-2-222-2222-2-2-2-222000000002-22-22-22-20000000000000000000000000000000000-22-2200
χ392-2-222-22-22-22-2-2-222-2222-2-2-2-22200000000-22-22-22-2200000000000000000000000000000000002-2-2200
χ402-2-222-22-22-22-2-2-222-2222-2-2-2-22200000000-22-22-22-220000000000000000000000000000000000-222-200
χ412-2-222-2-22-22-2-2-222-222000000002-22-200002−2−22−222−22−22−22−22−200002-22-22−22−22−22−20000000000000000
χ422-2-222-2-22-22-2-2-222-222000000002-22-200002−2−22−222−22−22−22−22−20000-22-22−22−22−22−220000000000000000
χ432-2-222-2-22-22-2-2-222-222000000002-22-20000−222−22−2−22−22−22−22−2200002-22-2−22−22−22−220000000000000000
χ442-2-222-2-22-22-2-2-222-222000000002-22-20000−222−22−2−22−22−22−22−220000-22-222−22−22−22−20000000000000000
χ452-2-222-2-22-22-2-2-222-22200000000-22-2200002−2−22−222−2−22−22−22−2200002-2-222−22−2−22−220000000000000000
χ462-2-222-2-22-22-2-2-222-22200000000-22-2200002−2−22−222−2−22−22−22−220000-222-2−22−222−22−20000000000000000
χ472-2-222-2-22-22-2-2-222-22200000000-22-220000−222−22−2−222−22−22−22−200002-2-22−22−222−22−20000000000000000
χ482-2-222-2-22-22-2-2-222-22200000000-22-220000−222−22−2−222−22−22−22−20000-222-22−22−2−22−220000000000000000
χ492-2-22-222-2-22-2-22-2-22222-22-22-2-222-2-2222-2-22-22-2-22-222-2-222-2-2200000000000000000000000000000000
χ502-2-22-222-2-22-2-22-2-22222-22-22-2-222-2-2222-2-2-22-222-22-2-222-2-222-200000000000000000000000000000000
χ512-2-22-222-2-22-2-22-2-22222-22-22-2-22-222-2-2-2222-22-2-22-22-222-2-222-200000000000000000000000000000000
χ522-2-22-222-2-22-2-22-2-22222-22-22-2-22-222-2-2-222-22-222-22-22-2-222-2-2200000000000000000000000000000000
χ532-2-22-222-2-22-2-22-2-2222-22-22-222-22-2-22-2-2220000000000000000000000002-2-222-2-220000000000000000
χ542-2-22-222-2-22-2-22-2-2222-22-22-222-22-2-22-2-222000000000000000000000000-222-2-222-20000000000000000
χ552-2-22-222-2-22-2-22-2-2222-22-22-222-2-222-222-2-20000000000000000000000002-2-22-222-20000000000000000
χ562-2-22-222-2-22-2-22-2-2222-22-22-222-2-222-222-2-2000000000000000000000000-222-22-2-220000000000000000
χ572-2-22-22-222-2-22-2-2222-22-222-2-22-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000002-200002i−2i
χ582-2-22-22-222-2-22-2-2222-22-222-2-22-200000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000-220000−2i2i
χ592-2-22-22-222-2-22-2-2222-22-222-2-22-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000002-20000−2i2i
χ602-2-22-22-222-2-22-2-2222-22-222-2-22-20000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000-2200002i−2i
χ614444444444-4-4-4-4-4-4-4-40000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ624444444444-4-4-4-4-4-4-4-4000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ63444444-4-4-4-44-4-44-444-4-4-4-444-44400000000000000000000000000000000000000000000000000000000
χ64444444-4-4-4-4-444-44-4-4400000000000000002222−22−22−22−2222220000000000000000000000000000000000000000
χ65444444-4-4-4-4-444-44-4-440000000000000000−22−2222222222−22−220000000000000000000000000000000000000000
χ664444-4-444-4-44-44-44-44-40000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000
χ674444-4-444-4-44-44-44-44-4000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000
χ684444-4-444-4-4-44-44-44-44-444-44-44-400000000000000000000000000000000000000000000000000000000
χ694444-4-4-4-444-4-44444-4-44-4-4-4444-400000000000000000000000000000000000000000000000000000000
χ704444-4-4-4-444-4-44444-4-4-4444-4-4-4400000000000000000000000000000000000000000000000000000000
χ714-4-444-44-44-44-4-4-444-44-4-44444-4-400000000000000000000000000000000000000000000000000000000
χ724-4-444-44-44-4-4444-4-44-40000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000
χ734-4-444-44-44-4-4444-4-44-4000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000
χ744-4-444-4-44-44444-4-44-4-444-444-4-4-400000000000000000000000000000000000000000000000000000000
χ754-4-444-4-44-44444-4-44-4-4-4-44-4-444400000000000000000000000000000000000000000000000000000000
χ764-4-44-444-4-4444-444-4-4-40000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ774-4-44-444-4-4444-444-4-4-4000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ784-4-44-44-444-44-444-4-4-44000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ794-4-44-44-444-44-444-4-4-440000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ804-4-44-44-444-4-44-4-4444-4-44-4-444-4400000000000000000000000000000000000000000000000000000000
χ811616-16-16000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8216-1616-16000000000000000000000000000000000000000000000000000000000000000000000000000000

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