Finite Group Databasebeta

← Group #72322447

Character table — Group #72322447

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size1111222222222222222222444444888888888888888888888888888888888888161616161616161616161616161616161616323232323232323232323232
order1222222222444444448888888888224444448888888888881616161616161616161616161616161622444488881616161616161616444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1
χ91111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ101111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ121111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ17222222222222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000022000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2222200000000000000000000-2-2000000000000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222222200000000000000000000-2-2000000000000000000000000
χ20222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000022000000000000000000000000
χ212222222222-2-2-2-2-2-2-2-200000000000022-2-20000002i2i−2i−2i2i2i−2i−2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i2000000000022−2−2i2i2−i2−i2000000000000
χ222222222222-2-2-2-2-2-2-2-200000000000022-2-20000002i2i−2i−2i2i2i−2i−2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i20000000000−2−222−i2−i2i2i2000000000000
χ232222222222-2-2-2-2-2-2-2-200000000000022-2-2000000−2i−2i2i2i−2i−2i2i2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i2000000000022−2−2−i2−i2i2i2000000000000
χ242222222222-2-2-2-2-2-2-2-200000000000022-2-2000000−2i−2i2i2i−2i−2i2i2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i20000000000−2−222i2i2−i2−i2000000000000
χ252222222222-2-2-2-2-2-2-2-2000000000000-2-2220000002i2i−2i−2i−2i−2i2i2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i20000000000−2−222−i2−i2i2i2000000000000
χ262222222222-2-2-2-2-2-2-2-2000000000000-2-2220000002i2i−2i−2i−2i−2i2i2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i2000000000022−2−2i2i2−i2−i2000000000000
χ272222222222-2-2-2-2-2-2-2-2000000000000-2-222000000−2i−2i2i2i2i2i−2i−2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i20000000000−2−222i2i2−i2−i2000000000000
χ282222222222-2-2-2-2-2-2-2-2000000000000-2-222000000−2i−2i2i2i2i2i−2i−2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i2000000000022−2−2−i2−i2i2i2000000000000
χ29222222-2-2-2-22-2-2222-2-222222-2-2-22-2000000000000000000000000000022-2-222-2-20000002i2i−2i−2i0000000000002i−2i000000
χ30222222-2-2-2-22-2-2222-2-222222-2-2-22-2000000000000000000000000000022-2-222-2-2000000−2i−2i2i2i000000000000−2i2i000000
χ31222222-2-2-2-22-2-2222-2-222222-2-2-22-20000000000000000000000000000-2-222-2-2220000002i2i−2i−2i000000000000−2i2i000000
χ32222222-2-2-2-22-2-2222-2-222222-2-2-22-20000000000000000000000000000-2-222-2-222000000−2i−2i2i2i0000000000002i−2i000000
χ332222-2-22-22-2-22-222-2-22-2-2-2-2222-22-2000000000000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-200000000000000002i−2i00000000
χ342222-2-22-22-2-22-222-2-22-2-2-2-2222-22-2000000000000000000002i2i−2i−2i2i2i−2i−2i00000000-2-2220000000000000000−2i2i00000000
χ352222-2-22-22-2-22-222-2-22-2-2-2-2222-22-200000000000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-20000000000000000−2i2i00000000
χ362222-2-22-22-2-22-222-2-22-2-2-2-2222-22-200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-22200000000000000002i−2i00000000
χ372-2-222-222-2-22-2-2-22-22222-2-2-22-222-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000002i−2i0000
χ382-2-222-222-2-22-2-2-22-22222-2-2-22-222-200000000000000000000000000002i−2i2i−2i2i−2i2i−2i-22-2200000000000000000000−2i2i0000
χ392-2-222-222-2-22-2-2-22-22222-2-2-22-222-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000−2i2i0000
χ402-2-222-222-2-22-2-2-22-22222-2-2-22-222-20000000000000000000000000000−2i2i−2i2i−2i2i−2i2i-22-22000000000000000000002i−2i0000
χ412-2-222-2-2-222222-22-2-2-222-2-2-2-22-22200000000000000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i00002i−2i00002-22-20000000000000000
χ422-2-222-2-2-222222-22-2-2-222-2-2-2-22-22200000000000000002i−2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i00002i−2i0000-22-220000000000000000
χ432-2-222-2-2-222222-22-2-2-222-2-2-2-22-2220000000000000000−2i2i−2i2i000000002i−2i−2i2i2i−2i−2i2i0000−2i2i0000-22-220000000000000000
χ442-2-222-2-2-222222-22-2-2-222-2-2-2-22-2220000000000000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i0000−2i2i00002-22-20000000000000000
χ452-2-222-2-2-222222-22-2-2-2-2-22222-22-2-200000000000000002i−2i2i−2i2-22-22-22-2000000000000−2i2i000000002i−2i2i−2i000000000000
χ462-2-222-2-2-222222-22-2-2-2-2-22222-22-2-200000000000000002i−2i2i−2i-22-22-22-22000000000000−2i2i00000000−2i2i−2i2i000000000000
χ472-2-222-2-2-222222-22-2-2-2-2-22222-22-2-20000000000000000−2i2i−2i2i2-22-22-22-20000000000002i−2i00000000−2i2i−2i2i000000000000
χ482-2-222-2-2-222222-22-2-2-2-2-22222-22-2-20000000000000000−2i2i−2i2i-22-22-22-220000000000002i−2i000000002i−2i2i−2i000000000000
χ492-2-222-2-2-222-2-2-22-222200000000002-200002-222-2-200002-2-222−22−2−22−222−2−22−222−200000000002−2−222−2−22000000000000
χ502-2-222-2-2-222-2-2-22-222200000000002-200002-222-2-200002-2-22−22−222−22−2−222−22−2−220000000000−222−2−222−2000000000000
χ512-2-222-2-2-222-2-2-22-222200000000002-200002-2-2-2220000-222-22−22−2−22−222−2−22−222−20000000000−222−2−222−2000000000000
χ522-2-222-2-2-222-2-2-22-222200000000002-200002-2-2-2220000-222-2−22−222−22−2−222−22−2−2200000000002−2−222−2−22000000000000
χ532-2-222-2-2-222-2-2-22-22220000000000-220000-2222-2-20000-222-22−22−2−22−22−222−22−2−2200000000002−2−22−222−2000000000000
χ542-2-222-2-2-222-2-2-22-22220000000000-220000-2222-2-20000-222-2−22−222−22−22−2−22−222−20000000000−222−22−2−22000000000000
χ552-2-222-2-2-222-2-2-22-22220000000000-220000-22-2-22200002-2-222−22−2−22−22−222−22−2−220000000000−222−22−2−22000000000000
χ562-2-222-2-2-222-2-2-22-22220000000000-220000-22-2-22200002-2-22−22−222−22−22−2−22−222−200000000002−2−22−222−2000000000000
χ572-2-22-222-2-22-2-22-222-2222-2-22-222-2-22-20000-2200002-22-2000000000000000000000000002i−2i2i−2i000000002i−2i0000000000
χ582-2-22-222-2-22-2-22-222-2222-2-22-222-2-22-20000-2200002-22-200000000000000000000000000−2i2i−2i2i00000000−2i2i0000000000
χ592-2-22-222-2-22-2-22-222-2222-2-22-222-2-2-2200002-20000-22-22000000000000000000000000002i−2i2i−2i00000000−2i2i0000000000
χ602-2-22-222-2-22-2-22-222-2222-2-22-222-2-2-2200002-20000-22-2200000000000000000000000000−2i2i−2i2i000000002i−2i0000000000
χ612-2-22-222-2-22-2-22-222-22-2-222-22-2-2222-20000-220000-22-22000000000000000000002-2-2200000000000000000000002-200
χ622-2-22-222-2-22-2-22-222-22-2-222-22-2-2222-20000-220000-22-2200000000000000000000-222-20000000000000000000000-2200
χ632-2-22-222-2-22-2-22-222-22-2-222-22-2-222-2200002-200002-22-2000000000000000000002-2-220000000000000000000000-2200
χ642-2-22-222-2-22-2-22-222-22-2-222-22-2-222-2200002-200002-22-200000000000000000000-222-200000000000000000000002-200
χ652-2-22-22-222-2-22-2-2222-222-2-222-2-2-22000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000002-2-220000000000000000002i−2i
χ662-2-22-22-222-2-22-2-2222-222-2-222-2-2-22000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000-222-2000000000000000000−2i2i
χ672-2-22-22-222-2-22-2-2222-222-2-222-2-2-2200000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000002-2-22000000000000000000−2i2i
χ682-2-22-22-222-2-22-2-2222-222-2-222-2-2-2200000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000-222-20000000000000000002i−2i
χ69444444-4-4-4-44-4-4444-4-4-4-4-4-4-4444-44000000000000000000000000000000000000000000000000000000000000000000
χ70444444-4-4-4-4-444-4-4-444000000000000000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000
χ71444444-4-4-4-4-444-4-4-44400000000000000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000
χ724444-4-44-44-44-44-4-444-40000000000000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000
χ734444-4-44-44-44-44-4-444-4000000000000000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000
χ744444-4-44-44-4-44-444-4-444444-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-4-44-4444-4-4-44-440000000000440000-4-40000000000000000000000000000000000000000000000000000000000
χ764444-4-4-44-4444-4-4-44-440000000000-4-40000440000000000000000000000000000000000000000000000000000000000
χ774444-4-4-44-44-4-4444-44-44444-444-4-4-4000000000000000000000000000000000000000000000000000000000000000000
χ784444-4-4-44-44-4-4444-44-4-4-4-4-44-4-4444000000000000000000000000000000000000000000000000000000000000000000
χ794-4-444-444-4-44-4-4-44-444-4-4444-44-4-44000000000000000000000000000000000000000000000000000000000000000000
χ804-4-444-444-4-4-4444-44-4-40000000000000000000000000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ814-4-444-444-4-4-4444-44-4-400000000000000000000000000000000000000−2222−222222−2222−22000000000000000000000000000000
χ824-4-44-444-4-4444-44-4-44-400000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ834-4-44-444-4-4444-44-4-44-40000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ844-4-44-44-444-44-444-4-4-440000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ854-4-44-44-444-44-444-4-4-44000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ864-4-44-44-444-4-44-4-4444-4-4-444-4-4444-4000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8000000000000004i2−4i24i2−4i200000000004-4002i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000
χ8888-8-8000000000000004i2−4i24i2−4i20000000000-4400−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000
χ8988-8-800000000000000−4i24i2−4i24i200000000004-400−2i22i2−2i22i2000000000000000000000000000000000000000000000000000000
χ9088-8-800000000000000−4i24i2−4i24i20000000000-44002i2−2i22i2−2i2000000000000000000000000000000000000000000000000000000
χ918-88-8000000000000004i2−4i2−4i24i2000000004-400002i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000
χ928-88-8000000000000004i2−4i2−4i24i200000000-440000−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ938-88-800000000000000−4i24i24i2−4i2000000004-40000−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000
χ948-88-800000000000000−4i24i24i2−4i200000000-4400002i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000

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