Finite Group Databasebeta

← Group #72310719

Character table — Group #72310719

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1122222224444444488888888888888888816161616161616161616161616161616323211222222244444444888888888888888888161616161616161616161616161616163232
order1222244442244888824444444881616161616161616224444888888161616168822222444422448888244444448816161616161616162244448888881616161688
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111111111111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1
χ9111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-11-1111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-11-1
χ10111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-11111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-11
χ11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-11
χ12111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-1-1-1111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-1-1-1111-1
χ13111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-111-11111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-111-11
χ14111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11-1111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11-1
χ15111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1
χ16111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-11
χ172222222222222-2-2-2-222220000-2-200000000000000-2-200000000002222222222222-2-2-2-222220000-2-200000000000000-2-20000000000
χ182222222222222-2-2-2-2-2-2-2-20000-2-2000000000000002200000000002222222222222-2-2-2-2-2-2-2-20000-2-200000000000000220000000000
χ19222222222-2-2-2-2-2-2-2-222-2-200002200000000000000-220000000000222222222-2-2-2-2-2-2-2-222-2-200002200000000000000-220000000000
χ20222222222-2-2-2-2-2-2-2-2-2-222000022000000000000002-20000000000222222222-2-2-2-2-2-2-2-2-2-222000022000000000000002-20000000000
χ2122222-2-2-2-22-22-200002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20022222-2-2-2-22-22-200002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ2222222-2-2-2-22-22-200002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20022222-2-2-2-22-22-200002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ2322222-2-2-2-22-22-20000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20022222-2-2-2-22-22-20000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ2422222-2-2-2-22-22-20000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20022222-2-2-2-22-22-20000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ2522222-2-2-2-2-22-2200002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20022222-2-2-2-2-22-2200002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ2622222-2-2-2-2-22-2200002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20022222-2-2-2-2-22-2200002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ2722222-2-2-2-2-22-220000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20022222-2-2-2-2-22-220000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ2822222-2-2-2-2-22-220000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20022222-2-2-2-2-22-220000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ29222-2-22-22-20000-22-2200002i2i−2i−2i0000002-22-200000000002i−2i000000222-2-22-22-20000-22-2200002i2i−2i−2i0000002-22-200000000002i−2i000000
χ30222-2-22-22-20000-22-2200002i2i−2i−2i000000-22-220000000000−2i2i000000222-2-22-22-20000-22-2200002i2i−2i−2i000000-22-220000000000−2i2i000000
χ31222-2-22-22-20000-22-220000−2i−2i2i2i0000002-22-20000000000−2i2i000000222-2-22-22-20000-22-220000−2i−2i2i2i0000002-22-20000000000−2i2i000000
χ32222-2-22-22-20000-22-220000−2i−2i2i2i000000-22-2200000000002i−2i000000222-2-22-22-20000-22-220000−2i−2i2i2i000000-22-2200000000002i−2i000000
χ3322-22-2-222-20000-2-22200002i−2i2i−2i002-22-20000000000002i−2i0000000022-22-2-222-20000-2-22200002i−2i2i−2i002-22-20000000000002i−2i00000000
χ3422-22-2-222-20000-2-22200002i−2i2i−2i00-22-22000000000000−2i2i0000000022-22-2-222-20000-2-22200002i−2i2i−2i00-22-22000000000000−2i2i00000000
χ3522-22-2-222-20000-2-2220000−2i2i−2i2i002-22-2000000000000−2i2i0000000022-22-2-222-20000-2-2220000−2i2i−2i2i002-22-2000000000000−2i2i00000000
χ3622-22-2-222-20000-2-2220000−2i2i−2i2i00-22-220000000000002i−2i0000000022-22-2-222-20000-2-2220000−2i2i−2i2i00-22-220000000000002i−2i00000000
χ3722-2-22-2-2222-2-222-2-2200002-2-222-200000000002-20000000000000022-2-22-2-2222-2-222-2-2200002-2-222-200000000002-200000000000000
χ3822-2-22-2-2222-2-222-2-220000-222-22-20000000000-220000000000000022-2-22-2-2222-2-222-2-220000-222-22-20000000000-2200000000000000
χ3922-2-22-2-2222-2-22-222-200000000-22000000002-2002-200000000000022-2-22-2-2222-2-22-222-200000000-22000000002-2002-2000000000000
χ4022-2-22-2-2222-2-22-222-200000000-2200000000-2200-2200000000000022-2-22-2-2222-2-22-222-200000000-2200000000-2200-22000000000000
χ4122-2-22-2-222-222-22-2-2200002-2-22-220000000000-220000000000000022-2-22-2-222-222-22-2-2200002-2-22-220000000000-2200000000000000
χ4222-2-22-2-222-222-22-2-220000-222-2-2200000000002-20000000000000022-2-22-2-222-222-22-2-220000-222-2-2200000000002-200000000000000
χ4322-2-22-2-222-222-2-222-2000000002-2000000002-200-2200000000000022-2-22-2-222-222-2-222-2000000002-2000000002-200-22000000000000
χ4422-2-22-2-222-222-2-222-2000000002-200000000-22002-200000000000022-2-22-2-222-222-2-222-2000000002-200000000-22002-2000000000000
χ45444-4-44-44-400004-44-4000000000000000000000000000000000000444-4-44-44-400004-44-4000000000000000000000000000000000000
χ46444-4-4-44-4400000000000000000000002i2−2i2−2i22i2000000000000000000444-4-4-44-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ47444-4-4-44-440000000000000000000000−2i22i22i2−2i2000000000000000000444-4-4-44-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4844-44-44-4-440000000000000000002i2−2i2−2i22i2000000000000000000000044-44-44-4-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ4944-44-44-4-44000000000000000000−2i22i22i2−2i2000000000000000000000044-44-44-4-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ5044-44-4-444-4000044-4-400000000000000000000000000000000000044-44-4-444-4000044-4-4000000000000000000000000000000000000
χ5144-4-4444-4-444-4-4000000000000000000000000000000000000000044-4-4444-4-444-4-40000000000000000000000000000000000000000
χ5244-4-4444-4-4-4-444000000000000000000000000000000000000000044-4-4444-4-4-4-4440000000000000000000000000000000000000000
χ5316-1600000000000000000000000000000000000000000000000000016-16000000000000000000000000000000000000000000000000000
χ5411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ55111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111
χ56111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ57111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-11111-1-1
χ5811111111111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111
χ5911111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1
χ6011111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ62111111111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-11-1-111-1-111-11
χ63111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1111-1-111-1-11-1
χ64111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1111-1-1-1-1111-1
χ65111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-11-1-11111-1-1-11
χ66111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-11111-1-11-1
χ67111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-111-11
χ68111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-11-111-1-111-1-1-11
χ69111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11-1-1-111-1-1111-1
χ702222222222222-2-2-2-222220000-2-200000000000000-2-20000000000-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-200002200000000000000220000000000
χ712222222222222-2-2-2-2-2-2-2-20000-2-200000000000000220000000000-2-2-2-2-2-2-2-2-2-2-2-2-22222222200002200000000000000-2-20000000000
χ72222222222-2-2-2-2-2-2-2-222-2-200002200000000000000-220000000000-2-2-2-2-2-2-2-2-222222222-2-2220000-2-2000000000000002-20000000000
χ73222222222-2-2-2-2-2-2-2-2-2-222000022000000000000002-20000000000-2-2-2-2-2-2-2-2-22222222222-2-20000-2-200000000000000-220000000000
χ7422222-2-2-2-22-22-200002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200-2-2-2-2-22222-22-220000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200
χ7522222-2-2-2-22-22-200002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i200-2-2-2-2-22222-22-220000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i200
χ7622222-2-2-2-22-22-20000-22-22000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200-2-2-2-2-22222-22-2200002-22-2000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200
χ7722222-2-2-2-22-22-20000-22-22000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i200-2-2-2-2-22222-22-2200002-22-2000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i200
χ7822222-2-2-2-2-22-2200002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200-2-2-2-2-222222-22-20000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200
χ7922222-2-2-2-2-22-2200002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i200-2-2-2-2-222222-22-20000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i200
χ8022222-2-2-2-2-22-220000-222-2000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200-2-2-2-2-222222-22-200002-2-22000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200
χ8122222-2-2-2-2-22-220000-222-2000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i200-2-2-2-2-222222-22-200002-2-22000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i200
χ82222-2-22-22-20000-22-2200002i2i−2i−2i0000002-22-200000000002i−2i000000-2-2-222-22-2200002-22-20000−2i−2i2i2i000000-22-220000000000−2i2i000000
χ83222-2-22-22-20000-22-2200002i2i−2i−2i000000-22-220000000000−2i2i000000-2-2-222-22-2200002-22-20000−2i−2i2i2i0000002-22-200000000002i−2i000000
χ84222-2-22-22-20000-22-220000−2i−2i2i2i0000002-22-20000000000−2i2i000000-2-2-222-22-2200002-22-200002i2i−2i−2i000000-22-2200000000002i−2i000000
χ85222-2-22-22-20000-22-220000−2i−2i2i2i000000-22-2200000000002i−2i000000-2-2-222-22-2200002-22-200002i2i−2i−2i0000002-22-20000000000−2i2i000000
χ8622-22-2-222-20000-2-22200002i−2i2i−2i002-22-20000000000002i−2i00000000-2-22-222-2-22000022-2-20000−2i2i−2i2i00-22-22000000000000−2i2i00000000
χ8722-22-2-222-20000-2-22200002i−2i2i−2i00-22-22000000000000−2i2i00000000-2-22-222-2-22000022-2-20000−2i2i−2i2i002-22-20000000000002i−2i00000000
χ8822-22-2-222-20000-2-2220000−2i2i−2i2i002-22-2000000000000−2i2i00000000-2-22-222-2-22000022-2-200002i−2i2i−2i00-22-220000000000002i−2i00000000
χ8922-22-2-222-20000-2-2220000−2i2i−2i2i00-22-220000000000002i−2i00000000-2-22-222-2-22000022-2-200002i−2i2i−2i002-22-2000000000000−2i2i00000000
χ9022-2-22-2-2222-2-222-2-2200002-2-222-200000000002-200000000000000-2-222-222-2-2-222-2-222-20000-222-2-220000000000-2200000000000000
χ9122-2-22-2-2222-2-222-2-220000-222-22-20000000000-2200000000000000-2-222-222-2-2-222-2-222-200002-2-22-2200000000002-200000000000000
χ9222-2-22-2-2222-2-22-222-200000000-22000000002-2002-2000000000000-2-222-222-2-2-222-22-2-22000000002-200000000-2200-22000000000000
χ9322-2-22-2-2222-2-22-222-200000000-2200000000-2200-22000000000000-2-222-222-2-2-222-22-2-22000000002-2000000002-2002-2000000000000
χ9422-2-22-2-222-222-22-2-2200002-2-22-220000000000-2200000000000000-2-222-222-2-22-2-22-222-20000-222-22-200000000002-200000000000000
χ9522-2-22-2-222-222-22-2-220000-222-2-2200000000002-200000000000000-2-222-222-2-22-2-22-222-200002-2-222-20000000000-2200000000000000
χ9622-2-22-2-222-222-2-222-2000000002-2000000002-200-22000000000000-2-222-222-2-22-2-222-2-2200000000-2200000000-22002-2000000000000
χ9722-2-22-2-222-222-2-222-2000000002-200000000-22002-2000000000000-2-222-222-2-22-2-222-2-2200000000-22000000002-200-22000000000000
χ98444-4-44-44-400004-44-4000000000000000000000000000000000000-4-4-444-44-440000-44-44000000000000000000000000000000000000
χ99444-4-4-44-4400000000000000000000002i2−2i2−2i22i2000000000000000000-4-4-4444-44-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ100444-4-4-44-440000000000000000000000−2i22i22i2−2i2000000000000000000-4-4-4444-44-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ10144-44-44-4-440000000000000000002i2−2i2−2i22i20000000000000000000000-4-44-44-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ10244-44-44-4-44000000000000000000−2i22i22i2−2i20000000000000000000000-4-44-44-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ10344-44-4-444-4000044-4-4000000000000000000000000000000000000-4-44-444-4-440000-4-444000000000000000000000000000000000000
χ10444-4-4444-4-444-4-40000000000000000000000000000000000000000-4-444-4-4-444-4-4440000000000000000000000000000000000000000
χ10544-4-4444-4-4-4-4440000000000000000000000000000000000000000-4-444-4-4-44444-4-40000000000000000000000000000000000000000
χ10616-16000000000000000000000000000000000000000000000000000-1616000000000000000000000000000000000000000000000000000

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