Finite Group Databasebeta

← Group #13508522

Character table — Group #13508522

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115
size11222222244448888888816162244444448888161616161616161632322244444448888161616161616161632322244444448888161616161616161632327714141414141414282828285656565656565656112112
order122448888448824881616161644714142828565656562828565614285656112112112112282871414282856565656282856561428565611211211211228287141428285656565628285656142856561121121121122828222448888448824881616161644
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ511111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1
χ611111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11
χ711111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11
χ811111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1
χ92222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000
χ1022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000
χ1122-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000
χ1222-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000
χ1322-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000
χ1422-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000
χ1522-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200
χ1622-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200
χ1722-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200
χ1822-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200
χ19444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000
χ204-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000
χ214-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000
χ224-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000
χ234-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000
χ2411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2511111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ271111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ2811111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-111111-1-111-1-11-111-1-111-1-11-1-1-1-1-1-111-1-111-11-1-111-1-111-11
χ2911111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-1111111-1-111-1-11-111-1-1-1-111-11-1-1-1-1-111-1-111-11-1-11111-1-11-1
χ3011111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-1111111-1-111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1-111-1111-1-1-1-1111-1
χ3111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-111111-1-111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1-111-1111-1-111-1-1-11
χ322222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-2200000000002222222-2-2-2-2-220000000000-2-2-2-2-2-2-222222-20000000000
χ3322222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-2000000000022222-2-2-2-222-2-20000000000-2-2-2-2-22222-2-2220000000000
χ3422-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i00000022-22-2002200-20002i−2i000000-2-22-2200-2-2002000−2i2i000000
χ3522-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i00000022-22-2002200-2000−2i2i000000-2-22-2200-2-20020002i−2i000000
χ3622-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-20000000022-22-200-2-200202-200000000-2-22-22002200-20-2200000000
χ3722-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-220000000022-22-200-2-20020-2200000000-2-22-22002200-202-200000000
χ3822-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i20022-2-222200000-20000i2−i2i2−i200-2-222-2-2-20000020000−i2i2−i2i200
χ3922-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i20022-2-222200000-20000−i2i2−i2i200-2-222-2-2-20000020000i2−i2i2−i200
χ4022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i20022-2-22-2-20000020000i2−i2−i2i200-2-222-22200000-20000−i2i2i2−i200
χ4122-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i20022-2-22-2-20000020000−i2i2i2−i200-2-222-22200000-20000i2−i2−i2i200
χ42444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000444-4-4000000000000000000-4-4-444000000000000000000
χ434-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-20000000000004-40002i2−2i22i2−2i22-2000000000000-44000−2i22i2−2i22i2-22000000000000
χ444-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-220000000000004-40002i2−2i2−2i22i2-22000000000000-44000−2i22i22i2−2i22-2000000000000
χ454-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-220000000000004-4000−2i22i22i2−2i2-22000000000000-440002i2−2i2−2i22i22-2000000000000
χ464-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-20000000000004-4000−2i22i2−2i22i22-2000000000000-440002i2−2i22i2−2i2-22000000000000
χ4722222222222222222222222−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ5200000000000000000000000
χ4822222222222222222-2-2-2-2-2-2−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ5200000000000000000000000
χ492222222222222-2-2-2-22222-2-2−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ5200000000000000000000000
χ502222222222222-2-2-2-2-2-2-2-222−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ5200000000000000000000000
χ5122222-2-222-2-22-222-2-222-2-22-2−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36ζ20+ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44ζ12+ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ5200000000000000000000000
χ5222222-2-222-2-22-222-2-2-2-222-22−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36−ζ20−ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44−ζ12−ζ44−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52−ζ4−ζ5200000000000000000000000
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χ10022222-2-222-2-22-2-2-222-2-2222-2−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52ζ4+ζ52−ζ4−ζ52−ζ4−ζ52−ζ4−ζ52ζ4+ζ52−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36ζ20+ζ36−ζ20−ζ36−ζ20−ζ36−ζ20−ζ36ζ20+ζ36−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ44ζ12+ζ44−ζ12−ζ44−ζ12−ζ44−ζ12−ζ44ζ12+ζ4400000000000000000000000
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χ10344-44-4004400-40004i−4i000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ5200−2ζ4−2ζ52−2ζ4−2ζ52002ζ4+2ζ520002ζ38+2ζ46−2ζ38−2ζ46000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ3600−2ζ20−2ζ36−2ζ20−2ζ36002ζ20+2ζ360002ζ6+2ζ22−2ζ6−2ζ22000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ4400−2ζ12−2ζ44−2ζ12−2ζ44002ζ12+2ζ440002ζ30+2ζ54−2ζ30−2ζ5400000000000000000000000000000
χ10444-44-4004400-4000−4i4i000000−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ5200−2ζ4−2ζ52−2ζ4−2ζ52002ζ4+2ζ52000−2ζ38−2ζ462ζ38+2ζ46000000−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ3600−2ζ20−2ζ36−2ζ20−2ζ36002ζ20+2ζ36000−2ζ6−2ζ222ζ6+2ζ22000000−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ4400−2ζ12−2ζ44−2ζ12−2ζ44002ζ12+2ζ44000−2ζ30−2ζ542ζ30+2ζ5400000000000000000000000000000
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χ10744-4-444400000-400002i2−2i22i2−2i200−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52000002ζ4+2ζ520000ζ31+ζ39+ζ45+ζ53−ζ31−ζ39−ζ45−ζ53ζ31+ζ39+ζ45+ζ53−ζ31−ζ39−ζ45−ζ5300−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36000002ζ20+2ζ360000ζ13+ζ15+ζ29+ζ55−ζ13−ζ15−ζ29−ζ55ζ13+ζ15+ζ29+ζ55−ζ13−ζ15−ζ29−ζ5500−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44000002ζ12+2ζ440000ζ5+ζ23+ζ37+ζ47−ζ5−ζ23−ζ37−ζ47ζ5+ζ23+ζ37+ζ47−ζ5−ζ23−ζ37−ζ470000000000000000000000000
χ10844-4-444400000-40000−2i22i2−2i22i200−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ52−2ζ4−2ζ52−2ζ4−2ζ52000002ζ4+2ζ520000−ζ31−ζ39−ζ45−ζ53ζ31+ζ39+ζ45+ζ53−ζ31−ζ39−ζ45−ζ53ζ31+ζ39+ζ45+ζ5300−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ36−2ζ20−2ζ36−2ζ20−2ζ36000002ζ20+2ζ360000−ζ13−ζ15−ζ29−ζ55ζ13+ζ15+ζ29+ζ55−ζ13−ζ15−ζ29−ζ55ζ13+ζ15+ζ29+ζ5500−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ44−2ζ12−2ζ44−2ζ12−2ζ44000002ζ12+2ζ440000−ζ5−ζ23−ζ37−ζ47ζ5+ζ23+ζ37+ζ47−ζ5−ζ23−ζ37−ζ47ζ5+ζ23+ζ37+ζ470000000000000000000000000
χ10944-4-44-4-400000400002i2−2i2−2i22i200−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ5200000−2ζ4−2ζ520000ζ31+ζ39+ζ45+ζ53−ζ31−ζ39−ζ45−ζ53−ζ31−ζ39−ζ45−ζ53ζ31+ζ39+ζ45+ζ5300−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ3600000−2ζ20−2ζ360000ζ13+ζ15+ζ29+ζ55−ζ13−ζ15−ζ29−ζ55−ζ13−ζ15−ζ29−ζ55ζ13+ζ15+ζ29+ζ5500−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ4400000−2ζ12−2ζ440000ζ5+ζ23+ζ37+ζ47−ζ5−ζ23−ζ37−ζ47−ζ5−ζ23−ζ37−ζ47ζ5+ζ23+ζ37+ζ470000000000000000000000000
χ11044-4-44-4-40000040000−2i22i22i2−2i200−2ζ4−2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ52−2ζ4−2ζ522ζ4+2ζ522ζ4+2ζ5200000−2ζ4−2ζ520000−ζ31−ζ39−ζ45−ζ53ζ31+ζ39+ζ45+ζ53ζ31+ζ39+ζ45+ζ53−ζ31−ζ39−ζ45−ζ5300−2ζ20−2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ36−2ζ20−2ζ362ζ20+2ζ362ζ20+2ζ3600000−2ζ20−2ζ360000−ζ13−ζ15−ζ29−ζ55ζ13+ζ15+ζ29+ζ55ζ13+ζ15+ζ29+ζ55−ζ13−ζ15−ζ29−ζ5500−2ζ12−2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ44−2ζ12−2ζ442ζ12+2ζ442ζ12+2ζ4400000−2ζ12−2ζ440000−ζ5−ζ23−ζ37−ζ47ζ5+ζ23+ζ37+ζ47ζ5+ζ23+ζ37+ζ47−ζ5−ζ23−ζ37−ζ470000000000000000000000000
χ111888-8-8000000000000000000−4ζ4−4ζ52−4ζ4−4ζ52−4ζ4−4ζ524ζ4+4ζ524ζ4+4ζ52000000000000000000−4ζ20−4ζ36−4ζ20−4ζ36−4ζ20−4ζ364ζ20+4ζ364ζ20+4ζ36000000000000000000−4ζ12−4ζ44−4ζ12−4ζ44−4ζ12−4ζ444ζ12+4ζ444ζ12+4ζ4400000000000000000000000000000000000000000
χ1128-80004i2−4i24i2−4i24-4000000000000−4ζ4−4ζ524ζ4+4ζ520002ζ31+2ζ39+2ζ45+2ζ53−2ζ31−2ζ39−2ζ45−2ζ532ζ31+2ζ39+2ζ45+2ζ53−2ζ31−2ζ39−2ζ45−2ζ53−2ζ4−2ζ522ζ4+2ζ52000000000000−4ζ20−4ζ364ζ20+4ζ360002ζ13+2ζ15+2ζ29+2ζ55−2ζ13−2ζ15−2ζ29−2ζ552ζ13+2ζ15+2ζ29+2ζ55−2ζ13−2ζ15−2ζ29−2ζ55−2ζ20−2ζ362ζ20+2ζ36000000000000−4ζ12−4ζ444ζ12+4ζ440002ζ5+2ζ23+2ζ37+2ζ47−2ζ5−2ζ23−2ζ37−2ζ472ζ5+2ζ23+2ζ37+2ζ47−2ζ5−2ζ23−2ζ37−2ζ47−2ζ12−2ζ442ζ12+2ζ4400000000000000000000000000000000000
χ1138-80004i2−4i2−4i24i2-44000000000000−4ζ4−4ζ524ζ4+4ζ520002ζ31+2ζ39+2ζ45+2ζ53−2ζ31−2ζ39−2ζ45−2ζ53−2ζ31−2ζ39−2ζ45−2ζ532ζ31+2ζ39+2ζ45+2ζ532ζ4+2ζ52−2ζ4−2ζ52000000000000−4ζ20−4ζ364ζ20+4ζ360002ζ13+2ζ15+2ζ29+2ζ55−2ζ13−2ζ15−2ζ29−2ζ55−2ζ13−2ζ15−2ζ29−2ζ552ζ13+2ζ15+2ζ29+2ζ552ζ20+2ζ36−2ζ20−2ζ36000000000000−4ζ12−4ζ444ζ12+4ζ440002ζ5+2ζ23+2ζ37+2ζ47−2ζ5−2ζ23−2ζ37−2ζ47−2ζ5−2ζ23−2ζ37−2ζ472ζ5+2ζ23+2ζ37+2ζ472ζ12+2ζ44−2ζ12−2ζ4400000000000000000000000000000000000
χ1148-8000−4i24i24i2−4i2-44000000000000−4ζ4−4ζ524ζ4+4ζ52000−2ζ31−2ζ39−2ζ45−2ζ532ζ31+2ζ39+2ζ45+2ζ532ζ31+2ζ39+2ζ45+2ζ53−2ζ31−2ζ39−2ζ45−2ζ532ζ4+2ζ52−2ζ4−2ζ52000000000000−4ζ20−4ζ364ζ20+4ζ36000−2ζ13−2ζ15−2ζ29−2ζ552ζ13+2ζ15+2ζ29+2ζ552ζ13+2ζ15+2ζ29+2ζ55−2ζ13−2ζ15−2ζ29−2ζ552ζ20+2ζ36−2ζ20−2ζ36000000000000−4ζ12−4ζ444ζ12+4ζ44000−2ζ5−2ζ23−2ζ37−2ζ472ζ5+2ζ23+2ζ37+2ζ472ζ5+2ζ23+2ζ37+2ζ47−2ζ5−2ζ23−2ζ37−2ζ472ζ12+2ζ44−2ζ12−2ζ4400000000000000000000000000000000000
χ1158-8000−4i24i2−4i24i24-4000000000000−4ζ4−4ζ524ζ4+4ζ52000−2ζ31−2ζ39−2ζ45−2ζ532ζ31+2ζ39+2ζ45+2ζ53−2ζ31−2ζ39−2ζ45−2ζ532ζ31+2ζ39+2ζ45+2ζ53−2ζ4−2ζ522ζ4+2ζ52000000000000−4ζ20−4ζ364ζ20+4ζ36000−2ζ13−2ζ15−2ζ29−2ζ552ζ13+2ζ15+2ζ29+2ζ55−2ζ13−2ζ15−2ζ29−2ζ552ζ13+2ζ15+2ζ29+2ζ55−2ζ20−2ζ362ζ20+2ζ36000000000000−4ζ12−4ζ444ζ12+4ζ44000−2ζ5−2ζ23−2ζ37−2ζ472ζ5+2ζ23+2ζ37+2ζ47−2ζ5−2ζ23−2ζ37−2ζ472ζ5+2ζ23+2ζ37+2ζ47−2ζ12−2ζ442ζ12+2ζ4400000000000000000000000000000000000

Here ζ is a primitive root of unity of order 56 (ζ56 = 1); i = ζ14.