Finite Group Databasebeta

← Group #13021323

Character table — Group #13021323

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222222222444455558888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010161632323232808080808080
order12224444448888888851010102222202020202020404040404040404044444488888888888888888888888888888888888888882410102020244444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i111111-1-1ii−i−i
χ61111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-111−i−iii
χ71111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii111111-1-1−i−iii
χ81111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-1-1-111ii−i−i
χ91111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-11-11-1
χ101111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11-11-11
χ111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-11-1-11-11
χ121111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-111-111-11-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1-11i−i−ii
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1-1111-1−iii−i
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1-11−iii−i
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1-1111-1i−i−ii
χ17222222-2-2-2-2000000002222222222-2-2-2-200000000-2-222-2-200000000000000002222-2-2-2-2000000002222-2-2-2-2000000000000
χ18222222-2-2-2-2000000002222222222-2-2-2-200000000-2-222-2-20000000000000000-2-2-2-2222200000000-2-2-2-22222000000000000
χ19222222-2-2-2-2000000002222-2-2-2-222-2-2-2-20000000022-2-22200000000000000002i2i2i2i−2i−2i−2i−2i00000000−2i−2i−2i−2i2i2i2i2i000000000000
χ20222222-2-2-2-2000000002222-2-2-2-222-2-2-2-20000000022-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i000000002i2i2i2i−2i−2i−2i−2i000000000000
χ212222-2-222-2-20000000022222222-2-222-2-200000000-2-2-2-222000000002222-2-2-2-2000000002222-2-2-2-200000000000000000000
χ222222-2-222-2-20000000022222222-2-222-2-200000000-2-2-2-22200000000-2-2-2-2222200000000-2-2-2-2222200000000000000000000
χ232222-2-222-2-2000000002222-2-2-2-2-2-222-2-2000000002222-2-2000000002i2i2i2i−2i−2i−2i−2i00000000−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ242222-2-222-2-2000000002222-2-2-2-2-2-222-2-2000000002222-2-200000000−2i−2i−2i−2i2i2i2i2i000000002i2i2i2i−2i−2i−2i−2i00000000000000000000
χ252222-2-2-2-2222222-2-2-2-222222222-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ262222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ272222-2-2-2-222-2-2-2-2222222222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ282222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2922-2-200002-200002i2i−2i−2i22-2-22-22-200002-200002i2i−2i−2i2-2000000002i2i−2i−2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000
χ3022-2-200002-200002i2i−2i−2i22-2-22-22-200002-200002i2i−2i−2i2-2000000002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000
χ3122-2-200002-200002i2i−2i−2i22-2-2-22-2200002-200002i2i−2i−2i-2200000000−2i−2i2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ3222-2-200002-200002i2i−2i−2i22-2-2-22-2200002-200002i2i−2i−2i-2200000000−2i−2i2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ3322-2-200002-20000−2i−2i2i2i22-2-22-22-200002-20000−2i−2i2i2i2-200000000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000
χ3422-2-200002-20000−2i−2i2i2i22-2-22-22-200002-20000−2i−2i2i2i2-200000000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000
χ3522-2-200002-20000−2i−2i2i2i22-2-2-22-2200002-20000−2i−2i2i2i-22000000002i2i−2i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3622-2-200002-20000−2i−2i2i2i22-2-2-22-2200002-20000−2i−2i2i2i-22000000002i2i−2i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ3722-2-20000-222i2i−2i−2i000022-2-22-22-20000-222i2i−2i−2i0000-2200002i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ3822-2-20000-222i2i−2i−2i000022-2-22-22-20000-222i2i−2i−2i0000-2200002i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ3922-2-20000-222i2i−2i−2i000022-2-2-22-220000-222i2i−2i−2i00002-20000−2i−2i2i2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ4022-2-20000-222i2i−2i−2i000022-2-2-22-220000-222i2i−2i−2i00002-20000−2i−2i2i2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ4122-2-20000-22−2i−2i2i2i000022-2-22-22-20000-22−2i−2i2i2i0000-220000−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ4222-2-20000-22−2i−2i2i2i000022-2-22-22-20000-22−2i−2i2i2i0000-220000−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ4322-2-20000-22−2i−2i2i2i000022-2-2-22-220000-22−2i−2i2i2i00002-200002i2i−2i−2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ4422-2-20000-22−2i−2i2i2i000022-2-2-22-220000-22−2i−2i2i2i00002-200002i2i−2i−2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ452-22-22-20000i2−i2i2−i2i2−i2i2−i22-22-22-2-222-20000i2−i2i2−i2i2−i2i2−i2002-200i2−i2i2−i2i2−i2i2−i22−22−22−22−200002i−2i2i−2i2−22−22−22−200002i−2i2i−2i000000000000
χ462-22-22-20000i2−i2i2−i2i2−i2i2−i22-22-22-2-222-20000i2−i2i2−i2i2−i2i2−i2002-200i2−i2i2−i2i2−i2i2−i2−22−22−22−220000−2i2i−2i2i−22−22−22−220000−2i2i−2i2i000000000000
χ472-22-22-20000i2−i2i2−i2i2−i2i2−i22-22-2-222-22-20000i2−i2i2−i2i2−i2i2−i200-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i200002-22-2000000000000
χ482-22-22-20000i2−i2i2−i2i2−i2i2−i22-22-2-222-22-20000i2−i2i2−i2i2−i2i2−i200-2200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200002-22-2i2−i2i2−i2i2−i2i2−i20000-22-22000000000000
χ492-22-22-20000−i2i2−i2i2−i2i2−i2i22-22-22-2-222-20000−i2i2−i2i2−i2i2−i2i2002-200−i2i2−i2i2−i2i2−i2i22−22−22−22−20000−2i2i−2i2i2−22−22−22−20000−2i2i−2i2i000000000000
χ502-22-22-20000−i2i2−i2i2−i2i2−i2i22-22-22-2-222-20000−i2i2−i2i2−i2i2−i2i2002-200−i2i2−i2i2−i2i2−i2i2−22−22−22−2200002i−2i2i−2i−22−22−22−2200002i−2i2i−2i000000000000
χ512-22-22-20000−i2i2−i2i2−i2i2−i2i22-22-2-222-22-20000−i2i2−i2i2−i2i2−i2i200-2200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200002-22-2−i2i2−i2i2−i2i2−i2i20000-22-22000000000000
χ522-22-22-20000−i2i2−i2i2−i2i2−i2i22-22-2-222-22-20000−i2i2−i2i2−i2i2−i2i200-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i200002-22-2000000000000
χ532-22-2-220000i2−i2i2−i2−i2i2−i2i22-22-22-2-22-220000i2−i2i2−i2−i2i2−i2i200-2200i2−i2i2−i2−i2i2−i2i22−22−2−22−222i−2i2i−2i00002−22−2−22−222i−2i2i−2i0000000000000000
χ542-22-2-220000i2−i2i2−i2−i2i2−i2i22-22-22-2-22-220000i2−i2i2−i2−i2i2−i2i200-2200i2−i2i2−i2−i2i2−i2i2−22−222−22−2−2i2i−2i2i0000−22−222−22−2−2i2i−2i2i0000000000000000
χ552-22-2-220000i2−i2i2−i2−i2i2−i2i22-22-2-222-2-220000i2−i2i2−i2−i2i2−i2i2002-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2-22-220000−i2i2−i2i2i2−i2i2−i22-22-20000000000000000
χ562-22-2-220000i2−i2i2−i2−i2i2−i2i22-22-2-222-2-220000i2−i2i2−i2−i2i2−i2i2002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-22-20000i2−i2i2−i2−i2i2−i2i2-22-220000000000000000
χ572-22-2-220000−i2i2−i2i2i2−i2i2−i22-22-22-2-22-220000−i2i2−i2i2i2−i2i2−i200-2200−i2i2−i2i2i2−i2i2−i22−22−2−22−22−2i2i−2i2i00002−22−2−22−22−2i2i−2i2i0000000000000000
χ582-22-2-220000−i2i2−i2i2i2−i2i2−i22-22-22-2-22-220000−i2i2−i2i2i2−i2i2−i200-2200−i2i2−i2i2i2−i2i2−i2−22−222−22−22i−2i2i−2i0000−22−222−22−22i−2i2i−2i0000000000000000
χ592-22-2-220000−i2i2−i2i2i2−i2i2−i22-22-2-222-2-220000−i2i2−i2i2i2−i2i2−i2002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22-22-20000−i2i2−i2i2i2−i2i2−i2-22-220000000000000000
χ602-22-2-220000−i2i2−i2i2i2−i2i2−i22-22-2-222-2-220000−i2i2−i2i2i2−i2i2−i2002-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2-22-220000i2−i2i2−i2−i2i2−i2i22-22-20000000000000000
χ612-2-22002-2002−2−222−2−222-2-2222-2-2002-2002−2−222−2−2200002-22−2−222−2−2200002i−2i−2i2i−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i−i2i2i2−i2−i2i2i2−i2000000000000
χ622-2-22002-2002−2−222−2−222-2-2222-2-2002-2002−2−222−2−2200002-22−2−222−2−220000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i20000−2i2i2i−2ii2−i2−i2i2i2−i2−i2i2000000000000
χ632-2-22002-2002−2−222−2−222-2-22-2-222002-2002−2−222−2−220000-22−222−2−222−200002-2-22−222−2−222−20000-222-22−2−222−2−22000000000000
χ642-2-22002-2002−2−222−2−222-2-22-2-222002-2002−2−222−2−220000-22−222−2−222−20000-222-22−2−222−2−2200002-2-22−222−2−222−2000000000000
χ652-2-22002-200−222−2−222−22-2-2222-2-2002-200−222−2−222−200002-2−222−2−222−200002i−2i−2i2ii2−i2−i2i2i2−i2−i2i200002i−2i−2i2ii2−i2−i2i2i2−i2−i2i2000000000000
χ662-2-22002-200−222−2−222−22-2-2222-2-2002-200−222−2−222−200002-2−222−2−222−20000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i−i2i2i2−i2−i2i2i2−i2000000000000
χ672-2-22002-200−222−2−222−22-2-22-2-222002-200−222−2−222−20000-222−2−222−2−2200002-2-222−2−222−2−220000-222-2−222−2−222−2000000000000
χ682-2-22002-200−222−2−222−22-2-22-2-222002-200−222−2−222−20000-222−2−222−2−220000-222-2−222−2−222−200002-2-222−2−222−2−22000000000000
χ692-2-2200-22002−2−22−222−22-2-2222-2-200-22002−2−22−222−20000-222−2−22−222−22i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i22i−2i−2i2i0000−i2i2i2−i2i2−i2−i2i2000000000000
χ702-2-2200-22002−2−22−222−22-2-2222-2-200-22002−2−22−222−20000-222−2−22−222−2−2i2i2i−2i0000i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i0000i2−i2−i2i2−i2i2i2−i2000000000000
χ712-2-2200-22002−2−22−222−22-2-22-2-22200-22002−2−22−222−200002-2−222−22−2−222-2-220000−222−22−2−22-222-200002−2−22−222−2000000000000
χ722-2-2200-22002−2−22−222−22-2-22-2-22200-22002−2−22−222−200002-2−222−22−2−22-222-200002−2−22−222−22-2-220000−222−22−2−22000000000000
χ732-2-2200-2200−222−22−2−222-2-2222-2-200-2200−222−22−2−220000-22−222−22−2−222i−2i−2i2i0000i2−i2−i2i2−i2i2i2−i22i−2i−2i2i0000i2−i2−i2i2−i2i2i2−i2000000000000
χ742-2-2200-2200−222−22−2−222-2-2222-2-200-2200−222−22−2−220000-22−222−22−2−22−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i0000−i2i2i2−i2i2−i2−i2i2000000000000
χ752-2-2200-2200−222−22−2−222-2-22-2-22200-2200−222−22−2−2200002-22−2−22−222−22-2-2200002−2−22−222−2-222-20000−222−22−2−22000000000000
χ762-2-2200-2200−222−22−2−222-2-22-2-22200-2200−222−22−2−2200002-22−2−22−222−2-222-20000−222−22−2−222-2-2200002−2−22−222−2000000000000
χ77444444444444444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000044-1-1-1-1000000
χ78444444444444444444-1-1-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000-4-41111000000
χ794444444444-4-4-4-4-4-4-4-4-1-1-1-10000-1-1-1-1-1-11111111100000000000000000000000000000000000000000000004-4-1-111000000
χ804444444444-4-4-4-4-4-4-4-4-1-1-1-10000-1-1-1-1-1-1111111110000000000000000000000000000000000000000000000-4411-1-1000000
χ814444-4-4-4-4444444-4-4-4-4-1-1-1-100001111-1-1-1-1-1-111110000000000000000000000000000000000000000000000005−55−5000000
χ824444-4-4-4-4444444-4-4-4-4-1-1-1-100001111-1-1-1-1-1-11111000000000000000000000000000000000000000000000000−55−55000000
χ834444-4-4-4-444-4-4-4-44444-1-1-1-100001111-1-11111-1-1-1-10000000000000000000000000000000000000000000000005−5−55000000
χ844444-4-4-4-444-4-4-4-44444-1-1-1-100001111-1-11111-1-1-1-1000000000000000000000000000000000000000000000000−555−5000000
χ85888888-8-8-8-800000000-2-2-2-20000-2-22222000000000000000000000000000000000000000000000000000000000000000000
χ868888-8-888-8-800000000-2-2-2-2000022-2-222000000000000000000000000000000000000000000000000000000000000000000
χ8788-8-800008-800008i8i−8i−8i-2-22200000000-220000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ8888-8-800008-80000−8i−8i8i8i-2-22200000000-2200002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ8988-8-80000-888i8i−8i−8i0000-2-222000000002-2−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000
χ9088-8-80000-88−8i−8i8i8i0000-2-222000000002-22i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ918-88-88-800004i2−4i24i2−4i24i2−4i24i2−4i2-22-220000-220000−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000000000000000000000000000
χ928-88-88-80000−4i24i2−4i24i2−4i24i2−4i24i2-22-220000-220000i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000000000000000000000000000000
χ938-88-8-8800004i2−4i24i2−4i2−4i24i2−4i24i2-22-2200002-20000−i2i2−i2i2i2−i2i2−i20000000000000000000000000000000000000000000000000000000000
χ948-88-8-880000−4i24i2−4i24i24i2−4i24i2−4i2-22-2200002-20000i2−i2i2−i2−i2i2−i2i20000000000000000000000000000000000000000000000000000000000
χ958-8-88008-80042−42−424242−42−4242-222-2000000-2200−222−2−222−20000000000000000000000000000000000000000000000000000000000
χ968-8-88008-800−424242−42−424242−42-222-2000000-22002−2−222−2−220000000000000000000000000000000000000000000000000000000000
χ978-8-8800-880042−42−4242−424242−42-222-20000002-200−222−22−2−220000000000000000000000000000000000000000000000000000000000
χ988-8-8800-8800−424242−4242−42−4242-222-20000002-2002−2−22−222−20000000000000000000000000000000000000000000000000000000000

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