Finite Group Databasebeta

← Group #72318650

Character table — Group #72318650

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11222222244448888888888888888161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222244442222222222444444222222224444444444888824444444444444444444444444444488888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ4111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-11111-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111
χ71111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ91111111111111111111-1-111-1-11111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ101111111111111111111-1-111-1-11111-1-1111111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ121111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ131111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ141111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1
χ151111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111
χ161111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1
χ1711-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-11-11-11-11-11-11-11-11-111-1-11-11-11-111-1-11-11-111-1-111-1-111-1-111-1-11-11-11-11-11-11-11-1
χ1811-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-11-11-11-11-11-11-11-11-111-1-1-111-11-1-1-1111-1-11-1-111-1-111-1-111-1-1111-11-11-11-11-1-11-11
χ1911-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-11-1-11-111-11-1-11-111-111-1-11-1-11-1111-1-11-11-1-1-111-1-111-1-111-1-111-11-111-1-11-111-11-1
χ2011-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-11-1-11-111-11-1-11-111-111-1-1-11-11-11-1-1111-1-1111-1-111-1-111-1-111-1-1-11-111-1-11-11-11-11
χ2111-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-1-111-1-111-1-111-1-111-1-1-1111-11-1-1111-1-1-111-111-1-111-1-1-1-111-1-1111-1-11-111-1-11-11-11
χ2211-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-1-111-1-111-1-111-1-111-1-1-111-111-1-11-1-111-11-11-1-111-1-11111-1-111-1-11-1-11-111-1-111-11-1
χ2311-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-1-11-111-11-1-11-111-11-1-1-1111-1-111-111-1-1-111-1-1-111-1-11111-1-111-1-1-111-1-11-111-1-11-11
χ2411-1-1-1-1111-1-11111-1-1-1-11-1111-1-1-1111-1-11-111-11-1-11-111-11-1-1-111-11-111-1-1-111-11-1111-1-111-1-1-1-111-1-111-111-1-11-111-11-11-1
χ2511-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-111-11-11-1-111-11-11-1-1111-1-11-1-11-11-1-111-111-111-1-1-1-11111-1-1-1-111-11-11-111-11-11-1-11
χ2611-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-111-11-11-1-111-11-11-1-1111-1-1-11-11-1111-1-1-11-11-1-11111-1-1-1-11111-1-1-11-11-111-11-1-111-1
χ2711-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-111-1-11-11-111-1-11-11-1111-1-11-11-11-1-1-111-111-1-1-11111-1-1-1-11111-1-11-11-1-11-11-111-1-11
χ2811-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-111-1-11-11-111-1-11-11-1111-1-1-111-11-111-1-1-11-1111-1-1-1-11111-1-1-1-1111-11-1-11-11-11-111-1
χ2911-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-11-111-1-11-11-111-1-11-11-1-1111-1-111-1-1-1111-11-111-1-1-1-111-1-11111-1-1-111-11-11-1-11-111-1
χ3011-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-11-111-1-11-11-111-1-11-11-1-111-11-111-111-1-11-1-11-1-11111-1-111-1-1-1-111-111-11-11-1-111-1-11
χ3111-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-11-11-111-1-11-11-111-1-11-1-1111-11-1-11-1-1111-11-1-1-11111-1-111-1-1-1-1111-1-111-1-111-1-111-1
χ3211-1-1-1-1111-1-11111-1-1-1-1-1111-11-1-111-11-11-111-1-11-11-111-1-11-1-111-111-1-1111-1-11-1-1111-1-1-1-111-1-11111-1-11-1-111-1-111-11-1-11
χ3322222222222222-222-2-2222-222-2-2-2-22-2000022-22000022-2-2000000002200000000000000000000000000-2-20000-2-20000
χ3422222222222222-222-2-2222-222-2-2-2-22-20000-2-2-220000-2-2-2-200000000-2-200000000000000000000000000220000220000
χ3522222222222222-222-2-2-2-22-2-2-2-2-2-2-2-220000222-20000222200000000-2-200000000000000000000000000220000-2-20000
χ3622222222222222-222-2-2-2-22-2-2-2-2-2-2-2-220000-2-22-20000-2-222000000002200000000000000000000000000-2-20000220000
χ372222222222222-22-2-22222-2222-2-2-2-2-220022002-2002200-2-20000002200000000000000000000000000-2-20000-2-2000000
χ382222222222222-22-2-22222-2222-2-2-2-2-2200-2-2002-200-2-200-2-2000000-2-20000000000000000000000000022000022000000
χ392222222222222-22-2-222-2-2-22-2-2-2-2-2-22-2002200-2200220022000000-2-200000000000000000000000000220000-2-2000000
χ402222222222222-22-2-222-2-2-22-2-2-2-2-2-22-200-2-200-2200-2-200220000002200000000000000000000000000-2-2000022000000
χ412222222222222-2-2-2-2-2-222-2-2222222-2-2220000-2-222000022-2-2-2-20000000000220000000000000000000000-2-200000000
χ422222222222222-2-2-2-2-2-222-2-2222222-2-2-2-20000-2-2-2-200002222220000000000-2-200000000000000000000002200000000
χ432222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222000022220000-2-2-2-2-2-20000000000-2-200000000000000000000002200000000
χ442222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000022-2-20000-2-222220000000000220000000000000000000000-2-200000000
χ452222-2-2-2-222-2-22222-22-200-2-2002-22-20022000000-2-20000002-22-20000000000000000002i−2i2i−2i00002i−2i2i−2i00000000000000
χ462222-2-2-2-222-2-22222-22-200-2-2002-22-20022000000-2-20000002-22-2000000000000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000
χ472222-2-2-2-222-2-22222-22-200-2-2002-22-200-2-200000022000000-22-220000000000000000002i−2i2i−2i0000−2i2i−2i2i00000000000000
χ482222-2-2-2-222-2-22222-22-200-2-2002-22-200-2-200000022000000-22-22000000000000000000−2i2i−2i2i00002i−2i2i−2i00000000000000
χ492222-2-2-2-222-2-22-2-2-22-220022002-22-20022000000-2-2000000-22-22000000000000002-22-200002-22-2000000000000000000
χ502222-2-2-2-222-2-22-2-2-22-220022002-22-20022000000-2-2000000-22-2200000000000000-22-220000-22-22000000000000000000
χ512222-2-2-2-222-2-22-2-2-22-220022002-22-200-2-2000000220000002-22-2000000000000002-22-20000-22-22000000000000000000
χ522222-2-2-2-222-2-22-2-2-22-220022002-22-200-2-2000000220000002-22-200000000000000-22-2200002-22-2000000000000000000
χ5322-2-222-2-22-22-2222-22-2200-2-200-222-2002-2000000-220000002-2-220000000000000000002i−2i−2i2i00002i−2i−2i2i00000000000000
χ5422-2-222-2-22-22-2222-22-2200-2-200-222-2002-2000000-220000002-2-22000000000000000000−2i2i2i−2i0000−2i2i2i−2i00000000000000
χ5522-2-222-2-22-22-2222-22-2200-2-200-222-200-220000002-2000000-222-20000000000000000002i−2i−2i2i0000−2i2i2i−2i00000000000000
χ5622-2-222-2-22-22-2222-22-2200-2-200-222-200-220000002-2000000-222-2000000000000000000−2i2i2i−2i00002i−2i−2i2i00000000000000
χ5722-2-222-2-22-22-22-2-22-22-2002200-222-2002-2000000-22000000-222-2000000000000002-2-2200002-2-22000000000000000000
χ5822-2-222-2-22-22-22-2-22-22-2002200-222-2002-2000000-22000000-222-200000000000000-222-20000-222-2000000000000000000
χ5922-2-222-2-22-22-22-2-22-22-2002200-222-200-220000002-20000002-2-22000000000000002-2-220000-222-2000000000000000000
χ6022-2-222-2-22-22-22-2-22-22-2002200-222-200-220000002-20000002-2-2200000000000000-222-200002-2-22000000000000000000
χ6122-2-2-2-2222-2-2222-2-2-2222-22-22-222-2-22200002-2-2-200002-2-22000000002-200000000000000000000000000-220000-220000
χ6222-2-2-2-2222-2-2222-2-2-2222-22-22-222-2-2220000-22-2-20000-22-2200000000-22000000000000000000000000002-200002-20000
χ6322-2-2-2-2222-2-2222-2-2-222-222-2-2222-2-2-2-200002-22200002-22-200000000-22000000000000000000000000002-20000-220000
χ6422-2-2-2-2222-2-2222-2-2-222-222-2-2222-2-2-2-20000-22220000-222-2000000002-200000000000000000000000000-2200002-20000
χ6522-2-2-2-2222-2-222-2222-2-22-2-222-222-2-2-2-2002-20022002-200-220000002-200000000000000000000000000-220000-22000000
χ6622-2-2-2-2222-2-222-2222-2-22-2-222-222-2-2-2-200-22002200-2200-22000000-22000000000000000000000000002-200002-2000000
χ6722-2-2-2-2222-2-222-2222-2-2-22-22-2222-2-222002-200-2-2002-2002-2000000-22000000000000000000000000002-20000-22000000
χ6822-2-2-2-2222-2-222-2222-2-2-22-22-2222-2-22200-2200-2-200-22002-20000002-200000000000000000000000000-2200002-2000000
χ6922-2-2-2-2222-2-222-2-222222-2-2-22-2-2-222-222-20000-222-200002-2-2-22200000000002-20000000000000000000000-2200000000
χ7022-2-2-2-2222-2-222-2-222222-2-2-22-2-2-222-22-220000-22-2200002-222-2-20000000000-2200000000000000000000002-200000000
χ7122-2-2-2-2222-2-222-2-22222-22-2-2-22-2-2222-22-200002-22-20000-22-2-2220000000000-2200000000000000000000002-200000000
χ7222-2-2-2-2222-2-222-2-22222-22-2-2-22-2-2222-2-2200002-2-220000-2222-2-200000000002-20000000000000000000000-2200000000
χ73444444444-4-4-4-40000004-400-44000000000000000000000000002200002-22-200-2-2000000000000000000000000000000
χ74444444444-4-4-4-40000004-400-4400000000000000000000000000-2-20000-22-220022000000000000000000000000000000
χ75444444444-4-4-4-4000000-44004-400000000000000000000000000220000-22-2200-2-2000000000000000000000000000000
χ76444444444-4-4-4-4000000-44004-400000000000000000000000000-2-200002-22-20022000000000000000000000000000000
χ774444-4-4-4-444-4-444-44-4-4400-4400-44-44000000000000000000000000000000000000000000000000000000000000000000
χ784444-4-4-4-444-4-44-44-444-4004-400-44-44000000000000000000000000000000000000000000000000000000000000000000
χ7944-4-444-4-44-44-444-4-444-400-44004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ8044-4-444-4-44-44-44-444-4-44004-4004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ8144-4-4-4-444444-4-40000004400-4-4000000000000000000000000002-200002-2-2200-22000000000000000000000000000000
χ8244-4-4-4-444444-4-40000004400-4-400000000000000000000000000-220000-222-2002-2000000000000000000000000000000
χ8344-4-4-4-444444-4-4000000-4-40044000000000000000000000000002-20000-222-200-22000000000000000000000000000000
χ8444-4-4-4-444444-4-4000000-4-4004400000000000000000000000000-2200002-2-22002-2000000000000000000000000000000
χ858888-8-8-8-88-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ86888-88-88-8-80000000000000000000000000044000000-4-400000000000000000000000000000000000000000000000000
χ87888-88-88-8-800000000000000000000000000-4-40000004400000000000000000000000000000000000000000000000000
χ88888-8-88-88-800000000000000000000000044000000-4-40000000000000000000000000000000000000000000000000000
χ89888-8-88-88-8000000000000000000000000-4-4000000440000000000000000000000000000000000000000000000000000
χ9088-888-8-88-80000000000000000000000004-4000000-440000000000000000000000000000000000000000000000000000
χ9188-888-8-88-8000000000000000000000000-440000004-40000000000000000000000000000000000000000000000000000
χ9288-88-888-8-8000000000000000000000000004-4000000-4400000000000000000000000000000000000000000000000000
χ9388-88-888-8-800000000000000000000000000-440000004-400000000000000000000000000000000000000000000000000
χ9488-8-888-8-888-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9532-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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