Finite Group Databasebeta

← Group #72266717

Character table — Group #72266717

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222244444488888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222444422222222444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-11111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111111-1-1-1-11111111-1-11111-1-11111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ111111111111111111-1-1-1-111111-1-1-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-111
χ121111111111111111-1-1-1-111111-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111
χ151111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111
χ161111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-111-1-1
χ171111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-11111111-1-111-1-11-11-11111-1-111-1-111-1-11-11-1-1-111-1-111-1-111-1-11-11-11-1-1-11-11-11111-1-111-1-11-11-11-11-1
χ181111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-11111111-1-111-1-11-11-1-1-111-1-111-1-111-1-11-11-111-1-11111-1-1-1-1111-1-11-11111-1-11-1-1-1-111-1-1111-11-1-11-11
χ191111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-11111111-1-111-1-1-11-111111-1-1-1-111-1-111-11-11-1-111-1-111-1-111-1-11-11-11-1-1-11-11-111-1-111-1-111-11-11-11-11
χ201111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-11111111-1-111-1-1-11-11-1-111-1-1-1-111-1-111-11-1111-1-11111-1-1-1-1111-1-11-11111-1-11-1-111-1-111-1-1-11-111-11-1
χ211111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-1-1-1-1-1111-1-111111-11-11111-1-111-1-111-1-11-11-1-1-1-1-111-1-111-1-111-111-11-111-111-1-1-1-1-111-1-111-11-111-11-1
χ221111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-1-1-1-1-1111-1-111111-11-1-1-111-1-111-1-111-1-11-11-11111-1-1-1-11111-1-1-11-11-11-1-1-11-111111-1-111-1-1-11-11-11-11
χ231111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-1-1-1-1-1111-1-11111-11-111111-1-1-1-111-1-111-11-11-1-1-1-111-1-111-1-111-111-11-111-111-1-1-111-1-111-1-11-11-1-11-11
χ241111-1-1-1-1111111-1-111-1-11-1-1-1-1111-1-1-1-1-1-1-1111-1-11111-11-11-1-111-1-1-1-111-1-111-11-111111-1-1-1-11111-1-1-11-11-11-1-1-11-1111-1-111-1-1111-11-11-11-1
χ251111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111-1-11-1-1111-1-11111-1-1-1-1111-1-11-1-1-1-111-1-111-1-1111-11-1-11-1-1-11-111111-1-1-1-1111-1-111-1-11
χ261111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-11111-1-11-1-111-111-111-1-1-1-1-11111-1-11-1-11-111-1
χ271111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111-1-1-111-111-1-111-1-11111-1-1-111-1-1-1-1-111-1-111-1-1111-11-1-11-1-1-11-1111-1-11111-1-1-111-1-111-1
χ281111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-1-1-111-1-11111-1-1-111-11111-1-1-1-11111-1-11-1-111-111-111-1-1-111-1-1-1-111-111-11-1-11
χ291111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1111-1-111111-1-1111-1-11111-1-1-1-1111-1-11-1-111-1-111-1-111-1-1-111-1-11111-1-11-1-1-1-11111-1-1-111-11-1-11
χ301111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1111-1-111111-1-11-1-1-1-11111-1-1-1-1111-1-1111-1-11111-1-1-1-111-11-111-1-1-11-11-11111-1-1-1-111-111-1-111-1
χ311111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-111-111-1-111-1-11111-1-1-111-1-1-111-1-111-1-111-1-1-111-1-11111-1-11-1-111-1-1-1-1111-1-11-111-1
χ321111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-111-1-1-1-1-111-1-11111-1-1-111-111-1-11111-1-1-1-111-11-111-1-1-11-11-111-1-11111-1-11-1-111-1-11
χ3322222222222222222222222-2-22222220000-2-22-2-2-2-200000000-2-2-2-20000000000000022-2-20000-2-2220000002-200002-20000000000000000
χ3422222222222222222222222-2-22222220000-2-22-2-2-2-200000000-2-2-2-200000000000000-2-222000022-2-2000000-220000-220000000000000000
χ35222222222222222222-2-2-2-2-2222-2-222-2222222-2-2-2-2-2220000002-22-200000000000000000022-2-20000-2-2000000-2200000000000000000000
χ36222222222222222222-2-2-2-2-2222-2-222-2-2-2-2-222-2-2-2-2-2-2-20000002-22-2000000000000000000-2-2220000220000002-200000000000000000000
χ37222222222222222222-2-2-2-2-2-2-22-2-222-20000-2-2-2222200000022-22-220000000000002200000000000000-2-2-2200002-2000000000000000000
χ38222222222222222222-2-2-2-2-2-2-22-2-222-20000-2-2-22222000000-2-2-22-22000000000000-2-200000000000000222-20000-22000000000000000000
χ392222222222222222-2-222-2-2-222-222-2-22222222-2-2-2-2-222000000-22-22000000000000000000-2-2220000-2-20000002-200000000000000000000
χ402222222222222222-2-222-2-2-222-222-2-22-2-2-2-222-2-2-2-2-2-2-2000000-22-2200000000000000000022-2-2000022000000-2200000000000000000000
χ412222222222222222-2-222-2-2-2-2-2-222-2-220000-2-2-22222000000222-22-20000000000002200000000000000-2-22-20000-22000000000000000000
χ422222222222222222-2-222-2-2-2-2-2-222-2-220000-2-2-22222000000-2-22-22-2000000000000-2-20000000000000022-2200002-2000000000000000000
χ432222222222222222-2-2-2-2222-2-2-2-2-2-2-2-20000-2-22-2-2-2-20000000022220000000000000022-2-20000-2-222000000-220000-220000000000000000
χ442222222222222222-2-2-2-2222-2-2-2-2-2-2-2-20000-2-22-2-2-2-200000000222200000000000000-2-222000022-2-20000002-200002-20000000000000000
χ452222222222-2-2-2-2-2-2000022-22-200000000002-2-22-22-20000220000000000-2-2-2-20022002i−2i2i−2i00002i−2i2i−2i000000000000002i−2i2i−2i000000000000
χ462222222222-2-2-2-2-2-2000022-22-200000000002-2-22-22-20000220000000000-2-2-2-2002200−2i2i−2i2i0000−2i2i−2i2i00000000000000−2i2i−2i2i000000000000
χ472222222222-2-2-2-2-2-2000022-22-200000000002-2-22-22-20000-2-20000000000222200-2-2002i−2i2i−2i00002i−2i2i−2i00000000000000−2i2i−2i2i000000000000
χ482222222222-2-2-2-2-2-2000022-22-200000000002-2-22-22-20000-2-20000000000222200-2-200−2i2i−2i2i0000−2i2i−2i2i000000000000002i−2i2i−2i000000000000
χ492222222222-2-2-2-2-2-2000022-2-220000000000-22-2-22-22002200000000-2-2-2-200002200002i−2i−2i2i0000−2i2i2i−2i0000000000000000002i−2i2i−2i00000000
χ502222222222-2-2-2-2-2-2000022-2-220000000000-22-2-22-22002200000000-2-2-2-20000220000−2i2i2i−2i00002i−2i−2i2i000000000000000000−2i2i−2i2i00000000
χ512222222222-2-2-2-2-2-2000022-2-220000000000-22-2-22-2200-2-20000000022220000-2-200002i−2i−2i2i0000−2i2i2i−2i000000000000000000−2i2i−2i2i00000000
χ522222222222-2-2-2-2-2-2000022-2-220000000000-22-2-22-2200-2-20000000022220000-2-20000−2i2i2i−2i00002i−2i−2i2i0000000000000000002i−2i2i−2i00000000
χ532222-2-2-2-2222222-2-22222-222222-2-2-2-220000-2-2-2-2-22200000022-222-2000000000000-2-200000000000000-22-2-2000022000000000000000000
χ542222-2-2-2-2222222-2-22222-222222-2-2-2-220000-2-2-2-2-222000000-2-2-222-200000000000022000000000000002-2220000-2-2000000000000000000
χ552222-2-2-2-2222222-2-22222-222-2-22-2-2-2-22222222-222-2-2-2-20000002-2-2200000000000000000022220000-22000000-2-200000000000000000000
χ562222-2-2-2-2222222-2-22222-222-2-22-2-2-2-22-2-2-2-222-222-2-2220000002-2-22000000000000000000-2-2-2-200002-20000002200000000000000000000
χ572222-2-2-2-2222222-2-222-2-22-2-222222-2-2-20000-2-2222-2-200000000-2-2220000000000000022220000-2-2-2-2000000-2200002-20000000000000000
χ582222-2-2-2-2222222-2-222-2-22-2-222222-2-2-20000-2-2222-2-200000000-2-22200000000000000-2-2-2-2000022220000002-20000-220000000000000000
χ592222-2-2-2-2222222-2-2-2-2222-2-222-2-2-22220000-2-2222-2-20000000022-2-20000000000000022220000-2-2-2-20000002-20000-220000000000000000
χ602222-2-2-2-2222222-2-2-2-2222-2-222-2-2-22220000-2-2222-2-20000000022-2-200000000000000-2-2-2-200002222000000-2200002-20000000000000000
χ612222-2-2-2-2222222-2-2-2-2-2-2-22222-22222-20000-2-2-2-2-222000000222-2-22000000000000-2-200000000000000-22220000-2-2000000000000000000
χ622222-2-2-2-2222222-2-2-2-2-2-2-22222-22222-20000-2-2-2-2-222000000-2-22-2-2200000000000022000000000000002-2-2-2000022000000000000000000
χ632222-2-2-2-2222222-2-2-2-2-2-2-222-2-2-22222-2222222-222-2-2-2-2000000-222-2000000000000000000-2-2-2-20000-220000002200000000000000000000
χ642222-2-2-2-2222222-2-2-2-2-2-2-222-2-2-22222-2-2-2-2-222-222-2-222000000-222-2000000000000000000222200002-2000000-2-200000000000000000000
χ652222-2-2-2-222-2-2-2-22200002-222-20000000000-22-22-2-22002-200000000-2-22200002-200002i−2i2i−2i0000−2i2i−2i2i0000000000000000002i−2i−2i2i00000000
χ662222-2-2-2-222-2-2-2-22200002-222-20000000000-22-22-2-22002-200000000-2-22200002-20000−2i2i−2i2i00002i−2i2i−2i000000000000000000−2i2i2i−2i00000000
χ672222-2-2-2-222-2-2-2-22200002-222-20000000000-22-22-2-2200-220000000022-2-20000-2200002i−2i2i−2i0000−2i2i−2i2i000000000000000000−2i2i2i−2i00000000
χ682222-2-2-2-222-2-2-2-22200002-222-20000000000-22-22-2-2200-220000000022-2-20000-220000−2i2i−2i2i00002i−2i2i−2i0000000000000000002i−2i−2i2i00000000
χ692222-2-2-2-222-2-2-2-22200002-22-2200000000002-2-2-222-200002-20000000000-2-222002-2002i−2i−2i2i00002i−2i−2i2i000000000000002i−2i−2i2i000000000000
χ702222-2-2-2-222-2-2-2-22200002-22-2200000000002-2-2-222-200002-20000000000-2-222002-200−2i2i2i−2i0000−2i2i2i−2i00000000000000−2i2i2i−2i000000000000
χ712222-2-2-2-222-2-2-2-22200002-22-2200000000002-2-2-222-20000-22000000000022-2-200-22002i−2i−2i2i00002i−2i−2i2i00000000000000−2i2i2i−2i000000000000
χ722222-2-2-2-222-2-2-2-22200002-22-2200000000002-2-2-222-20000-22000000000022-2-200-2200−2i2i2i−2i0000−2i2i2i−2i000000000000002i−2i−2i2i000000000000
χ734444444444-4-4-4-4-4-40000-4-444-400000000004-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ744444444444-4-4-4-4-4-40000-4-44-440000000000-4444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ75444444-4-4-4-44-44-44-400440000004-400-4000000000000022220000002-22-22-22-2-2-2-2-200000000000000000000000000000000000000000000
χ76444444-4-4-4-44-44-44-400440000004-400-40000000000000-2-2-2-2000000-22-22-22-22222200000000000000000000000000000000000000000000
χ77444444-4-4-4-44-44-44-400-4-4000000-44004000000000000022-2-20000002-22-2-22-22-2-22200000000000000000000000000000000000000000000
χ78444444-4-4-4-44-44-44-400-4-4000000-440040000000000000-2-222000000-22-222-22-222-2-200000000000000000000000000000000000000000000
χ79444444-4-4-4-4-44-44-44440000000-4004-4000000000000002222000000-22-22-22-22-2-2-2-200000000000000000000000000000000000000000000
χ80444444-4-4-4-4-44-44-44440000000-4004-400000000000000-2-2-2-20000002-22-22-22-2222200000000000000000000000000000000000000000000
χ81444444-4-4-4-4-44-44-44-4-40000000400-440000000000000022-2-2000000-22-222-22-2-2-22200000000000000000000000000000000000000000000
χ82444444-4-4-4-4-44-44-44-4-40000000400-4400000000000000-2-2220000002-22-2-22-2222-2-200000000000000000000000000000000000000000000
χ834444-4-444-4-44-44-4-440044000000-4400-400000000000002-2-220000002-2-22-222-2-222-200000000000000000000000000000000000000000000
χ844444-4-444-4-44-44-4-440044000000-4400-40000000000000-222-2000000-222-22-2-222-2-2200000000000000000000000000000000000000000000
χ854444-4-444-4-44-44-4-4400-4-40000004-400400000000000002-22-20000002-2-222-2-22-22-2200000000000000000000000000000000000000000000
χ864444-4-444-4-44-44-4-4400-4-40000004-40040000000000000-22-22000000-222-2-222-22-22-200000000000000000000000000000000000000000000
χ874444-4-444-4-4-44-444-4440000000-400-44000000000000002-22-2000000-222-2-222-2-22-2200000000000000000000000000000000000000000000
χ884444-4-444-4-4-44-444-4440000000-400-4400000000000000-22-220000002-2-222-2-222-22-200000000000000000000000000000000000000000000
χ894444-4-444-4-4-44-444-4-4-400000004004-4000000000000002-2-22000000-222-22-2-22-222-200000000000000000000000000000000000000000000
χ904444-4-444-4-4-44-444-4-4-400000004004-400000000000000-222-20000002-2-22-222-22-2-2200000000000000000000000000000000000000000000
χ914444-4-4-4-444-4-4-4-4440000-44-44-40000000000-444-444-400000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-444-4-4-4-4440000-44-4-4400000000004-444-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-80000000-808008-8000000000000044-4-400000000000000000000000000000000000004-4000000000000000000000000000000000000
χ9488-8-80000000-808008-80000000000000-4-4440000000000000000000000000000000000000-44000000000000000000000000000000000000
χ9588-8-80000000-80800-88000000000000044-4-40000000000000000000000000000000000000-44000000000000000000000000000000000000
χ9688-8-80000000-80800-880000000000000-4-44400000000000000000000000000000000000004-4000000000000000000000000000000000000
χ978-88-8000000-808000008-8000000000004-44-40000000000000000000000000000000000000004-40000000000000000000000000000000000
χ988-88-8000000-808000008-800000000000-44-44000000000000000000000000000000000000000-440000000000000000000000000000000000
χ998-88-8000000-80800000-88000000000004-44-4000000000000000000000000000000000000000-440000000000000000000000000000000000
χ1008-88-8000000-80800000-8800000000000-44-440000000000000000000000000000000000000004-40000000000000000000000000000000000
χ1018-8-888-88-88-8000000000000000000000000000000000000004-400000000000000004-4000000000000000000000000000000000000000000
χ1028-8-888-88-88-800000000000000000000000000000000000000-440000000000000000-44000000000000000000000000000000000000000000
χ1038-8-888-8-88-880000000000000000000004-4-4400000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-8-88-88000000000000000000000-444-40000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-888-8-880000000000000000000004-4-440000000-44000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-888-8-88000000000000000000000-444-400000004-4000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-88-888-8000000000000000000000000000000000000004-40000000000000000-44000000000000000000000000000000000000000000
χ1088-8-88-88-888-800000000000000000000000000000000000000-4400000000000000004-4000000000000000000000000000000000000000000
χ1091616-16-160000000160-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11016-1616-16000000160-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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