Finite Group Databasebeta

← Group #72337560

Character table — Group #72337560

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11112244444488888888881616161616161616163232323232323232323232323232323232323232323232321111224444448888888888161616161616161616323232323232323232323232323232323232323232323232
order12222222222222222222224444444442444444444444444444444442222222222222222222222444444444244444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111ii−i−iii−i−i−i−iii−i−iii111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111−i−iii−i−iiiii−i−iii−i−i111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−i−iii111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222-2-222-2-2-2-2-22-2000000-22000000000000000000002222222222222222-2-222-2-2-2-2-22-2000000-2200000000000000000000
χ1822222222222222-2-22222-2-2-2-2-2-220000002-20000000000000000000022222222222222-2-22222-2-2-2-2-2-220000002-200000000000000000000
χ19222222222222-2-22222-2-222-2-2222000000-2-200000000000000000000222222222222-2-22222-2-222-2-2222000000-2-200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2-22-2-20000002200000000000000000000222222222222-2-2-2-2-2-2-2-222-2-22-2-20000002200000000000000000000
χ212222222-2-22-2-22-200002-2222-2-200000000000000000000002-22-200002222222-2-22-2-22-200002-2222-2-200000000000000000000002-22-20000
χ222222222-2-22-2-22-200002-2222-2-20000000000000000000000-22-2200002222222-2-22-2-22-200002-2222-2-20000000000000000000000-22-220000
χ232222222-2-22-2-22-200002-2-2-2-222000000000000000000000000002i−2i2i−2i2222222-2-22-2-22-200002-2-2-2-222000000000000000000000000002i−2i2i−2i
χ242222222-2-22-2-22-200002-2-2-2-22200000000000000000000000000−2i2i−2i2i2222222-2-22-2-22-200002-2-2-2-22200000000000000000000000000−2i2i−2i2i
χ252222222-2-22-2-2-220000-2222-22-2000000000000000000000000002-2-222222222-2-22-2-2-220000-2222-22-2000000000000000000000000002-2-22
χ262222222-2-22-2-2-220000-2222-22-200000000000000000000000000-222-22222222-2-22-2-2-220000-2222-22-200000000000000000000000000-222-2
χ272222222-2-22-2-2-220000-22-2-22-2200000000000000000000002i−2i−2i2i00002222222-2-22-2-2-220000-22-2-22-2200000000000000000000002i−2i−2i2i0000
χ282222222-2-22-2-2-220000-22-2-22-220000000000000000000000−2i2i2i−2i00002222222-2-22-2-2-220000-22-2-22-220000000000000000000000−2i2i2i−2i0000
χ29444444-44-4-44-400004400000000-40000000000000000000000000000444444-44-4-44-400004400000000-40000000000000000000000000000
χ30444444-44-4-44-40000-4-40000000040000000000000000000000000000444444-44-4-44-40000-4-40000000040000000000000000000000000000
χ31444444-4-44-4-440044000000000-400000000000000000000000000000444444-4-44-4-440044000000000-400000000000000000000000000000
χ32444444-4-44-4-4400-4-4000000000400000000000000000000000000000444444-4-44-4-4400-4-4000000000400000000000000000000000000000
χ334444-4-4-400400000000004-40000022-2-22-200000000000000000000004444-4-4-400400000000004-40000022-2-22-20000000000000000000000
χ344444-4-4-400400000000004-400000-2-222-2200000000000000000000004444-4-4-400400000000004-400000-2-222-220000000000000000000000
χ354444-4-4-40040000000000-440000022-2-2-2200000000000000000000004444-4-4-40040000000000-440000022-2-2-220000000000000000000000
χ364444-4-4-40040000000000-4400000-2-2222-200000000000000000000004444-4-4-40040000000000-4400000-2-2222-20000000000000000000000
χ374-4-444-400-4004004-4000000000002-22-200002-20000000000000000004-4-444-400-4004004-4000000000002-22-200002-2000000000000000000
χ384-4-444-400-4004004-400000000000-22-220000-220000000000000000004-4-444-400-4004004-400000000000-22-220000-22000000000000000000
χ394-4-444-400-400400-44000000000002-22-20000-220000000000000000004-4-444-400-400400-44000000000002-22-20000-22000000000000000000
χ404-4-444-400-400400-4400000000000-22-2200002-20000000000000000004-4-444-400-400400-4400000000000-22-2200002-2000000000000000000
χ414-4-44-440-4004000004-40000000002-2-220000002-200000000000000004-4-44-440-4004000004-40000000002-2-220000002-20000000000000000
χ424-4-44-440-4004000004-4000000000-222-2000000-2200000000000000004-4-44-440-4004000004-4000000000-222-2000000-220000000000000000
χ434-4-44-440-400400000-440000000002-2-22000000-2200000000000000004-4-44-440-400400000-440000000002-2-22000000-220000000000000000
χ444-4-44-440-400400000-44000000000-222-20000002-200000000000000004-4-44-440-400400000-44000000000-222-20000002-20000000000000000
χ458888-8-8800-80000000000000000000000000000000000000000000008888-8-8800-8000000000000000000000000000000000000000000000
χ4688-8-8000000000400000-4000000000000000000000002i−2i2i−2i0000000088-8-8000000000400000-4000000000000000000000002i−2i2i−2i00000000
χ4788-8-8000000000400000-400000000000000000000000−2i2i−2i2i0000000088-8-8000000000400000-400000000000000000000000−2i2i−2i2i00000000
χ4888-8-8000000000-4000004000000000000000000000002-2-220000000088-8-8000000000-4000004000000000000000000000002-2-2200000000
χ4988-8-8000000000-400000400000000000000000000000-222-20000000088-8-8000000000-400000400000000000000000000000-222-200000000
χ508-88-800000000400000-4000000000000000000002i−2i2i−2i0000000000008-88-800000000400000-4000000000000000000002i−2i2i−2i000000000000
χ518-88-800000000400000-400000000000000000000−2i2i−2i2i0000000000008-88-800000000400000-400000000000000000000−2i2i−2i2i000000000000
χ528-88-800000000-4000004000000000000000000002-2-220000000000008-88-800000000-4000004000000000000000000002-2-22000000000000
χ538-88-800000000-400000400000000000000000000-222-20000000000008-88-800000000-400000400000000000000000000-222-2000000000000
χ548-8-888-800800-800000000000000000000000000000000000000000008-8-888-800800-80000000000000000000000000000000000000000000
χ558-8-88-880800-8000000000000000000000000000000000000000000008-8-88-880800-800000000000000000000000000000000000000000000
χ561111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ57111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ58111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111
χ59111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1
χ6011111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111
χ6111111111111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ6211111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6311111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ64111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-1-1-1-111-11-1-111−i−iii−i−iii−i−iii−i−iii
χ65111111111111-1-111-1-1-1-1-1-111-11-11111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-1-1-1-111-11-1-111ii−i−iii−i−iii−i−iii−i−i
χ66111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-111111-1-1-1111-1-1−i−iii−i−iiiii−i−iii−i−i
χ67111111111111-1-111-1-1-1-1-1-111-11-1-1-1-1-1111-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-111111-1-1-1111-1-1ii−i−iii−i−i−i−iii−i−iii
χ68111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1111-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ69111111111111-1-1-1-111-1-1-1-111-1-111111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1111-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ70111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-11111-1-11-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ71111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-111-1111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-11111-1-11-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ722222222222222222-2-222-2-2-2-2-22-2000000-2200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222-220000002-200000000000000000000
χ7322222222222222-2-22222-2-2-2-2-2-220000002-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2000000-2200000000000000000000
χ74222222222222-2-22222-2-222-2-2222000000-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-222-2-2-20000002200000000000000000000
χ75222222222222-2-2-2-2-2-2-2-222-2-22-2-20000002200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-222000000-2-200000000000000000000
χ762222222-2-22-2-22-200002-2222-2-200000000000000000000002-22-20000-2-2-2-2-2-2-222-222-220000-22-2-2-2220000000000000000000000-22-220000
χ772222222-2-22-2-22-200002-2222-2-20000000000000000000000-22-220000-2-2-2-2-2-2-222-222-220000-22-2-2-22200000000000000000000002-22-20000
χ782222222-2-22-2-22-200002-2-2-2-222000000000000000000000000002i−2i2i−2i-2-2-2-2-2-2-222-222-220000-22222-2-200000000000000000000000000−2i2i−2i2i
χ792222222-2-22-2-22-200002-2-2-2-22200000000000000000000000000−2i2i−2i2i-2-2-2-2-2-2-222-222-220000-22222-2-2000000000000000000000000002i−2i2i−2i
χ802222222-2-22-2-2-220000-2222-22-2000000000000000000000000002-2-22-2-2-2-2-2-2-222-2222-200002-2-2-22-2200000000000000000000000000-222-2
χ812222222-2-22-2-2-220000-2222-22-200000000000000000000000000-222-2-2-2-2-2-2-2-222-2222-200002-2-2-22-22000000000000000000000000002-2-22
χ822222222-2-22-2-2-220000-22-2-22-2200000000000000000000002i−2i−2i2i0000-2-2-2-2-2-2-222-2222-200002-222-22-20000000000000000000000−2i2i2i−2i0000
χ832222222-2-22-2-2-220000-22-2-22-220000000000000000000000−2i2i2i−2i0000-2-2-2-2-2-2-222-2222-200002-222-22-200000000000000000000002i−2i−2i2i0000
χ84444444-44-4-44-400004400000000-40000000000000000000000000000-4-4-4-4-4-44-444-440000-4-40000000040000000000000000000000000000
χ85444444-44-4-44-40000-4-40000000040000000000000000000000000000-4-4-4-4-4-44-444-4400004400000000-40000000000000000000000000000
χ86444444-4-44-4-440044000000000-400000000000000000000000000000-4-4-4-4-4-444-444-400-4-4000000000400000000000000000000000000000
χ87444444-4-44-4-4400-4-4000000000400000000000000000000000000000-4-4-4-4-4-444-444-40044000000000-400000000000000000000000000000
χ884444-4-4-400400000000004-40000022-2-22-20000000000000000000000-4-4-4-444400-40000000000-4400000-2-222-220000000000000000000000
χ894444-4-4-400400000000004-400000-2-222-220000000000000000000000-4-4-4-444400-40000000000-440000022-2-22-20000000000000000000000
χ904444-4-4-40040000000000-440000022-2-2-220000000000000000000000-4-4-4-444400-400000000004-400000-2-2222-20000000000000000000000
χ914444-4-4-40040000000000-4400000-2-2222-20000000000000000000000-4-4-4-444400-400000000004-40000022-2-2-220000000000000000000000
χ924-4-444-400-4004004-4000000000002-22-200002-2000000000000000000-444-4-4400400-400-4400000000000-22-220000-22000000000000000000
χ934-4-444-400-4004004-400000000000-22-220000-22000000000000000000-444-4-4400400-400-44000000000002-22-200002-2000000000000000000
χ944-4-444-400-400400-44000000000002-22-20000-22000000000000000000-444-4-4400400-4004-400000000000-22-2200002-2000000000000000000
χ954-4-444-400-400400-4400000000000-22-2200002-2000000000000000000-444-4-4400400-4004-4000000000002-22-20000-22000000000000000000
χ964-4-44-440-4004000004-40000000002-2-220000002-20000000000000000-444-44-40400-400000-44000000000-222-2000000-220000000000000000
χ974-4-44-440-4004000004-4000000000-222-2000000-220000000000000000-444-44-40400-400000-440000000002-2-220000002-20000000000000000
χ984-4-44-440-400400000-440000000002-2-22000000-220000000000000000-444-44-40400-4000004-4000000000-222-20000002-20000000000000000
χ994-4-44-440-400400000-44000000000-222-20000002-20000000000000000-444-44-40400-4000004-40000000002-2-22000000-220000000000000000
χ1008888-8-8800-8000000000000000000000000000000000000000000000-8-8-8-888-8008000000000000000000000000000000000000000000000
χ10188-8-8000000000400000-4000000000000000000000002i−2i2i−2i00000000-8-888000000000-400000400000000000000000000000−2i2i−2i2i00000000
χ10288-8-8000000000400000-400000000000000000000000−2i2i−2i2i00000000-8-888000000000-4000004000000000000000000000002i−2i2i−2i00000000
χ10388-8-8000000000-4000004000000000000000000000002-2-2200000000-8-888000000000400000-400000000000000000000000-222-200000000
χ10488-8-8000000000-400000400000000000000000000000-222-200000000-8-888000000000400000-4000000000000000000000002-2-2200000000
χ1058-88-800000000400000-4000000000000000000002i−2i2i−2i000000000000-88-8800000000-400000400000000000000000000−2i2i−2i2i000000000000
χ1068-88-800000000400000-400000000000000000000−2i2i−2i2i000000000000-88-8800000000-4000004000000000000000000002i−2i2i−2i000000000000
χ1078-88-800000000-4000004000000000000000000002-2-22000000000000-88-8800000000400000-400000000000000000000-222-2000000000000
χ1088-88-800000000-400000400000000000000000000-222-2000000000000-88-8800000000400000-4000000000000000000002-2-22000000000000
χ1098-8-888-800800-80000000000000000000000000000000000000000000-888-8-8800-80080000000000000000000000000000000000000000000
χ1108-8-88-880800-800000000000000000000000000000000000000000000-888-88-80-800800000000000000000000000000000000000000000000

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