Finite Group Databasebeta

← Group #11864535

Character table — Group #11864535

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212224448121212121212121224242424242424242224446666881212121212121244668121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-111-111-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11-1-1111111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-11-1-1-111-11111-1-1-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-1-11-1-1-111-1-111-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1111-1111-1-11-1-1-1-111-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-111-1-1111-1-1-111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1111-1111-1-111-1-1-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000002-200222200-2-2000000000000-2000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-2200-2-22200-2-200000000000020000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000002-20022-2-20022000000000000-20000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2200-2-2-2-200220000000000002000000-22000000
χ2122222-1222-1-122-1-122-1-1-1-122-122222222-1-1-1-1-1-122-1-1-1-1-1-122000000-1-100-1-12-1-1-1-102-1-12-1-100000-1-100000000
χ2222222-1222-1-122-1-122-1-1-1-122-12222-2-222-1-111-1-1-2-211111122000000-1-100-1-1-2-1-1110-2-1-1-211000001100000000
χ2322222-1222-1-122-1-122-1-1-1-122-1-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-1-2-20000001100112-1-1-1-10-211-211000001100000000
χ2422222-1222-1-122-1-122-1-1-1-122-1-2-2-2-2-2-222-1-111-1-1-2-2111111-2-2000000110011-2-1-11102112-1-100000-1-100000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-122-122222-2-2-211-1-1-1-1-2-2111111-2-2000000-1-100-1-1211-1-10211-2-1-1000001100000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-122-12222-22-2-21111-1-122-1-1-1-1-1-1-2-2000000-1-100-1-1-211110-21121100000-1-100000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-122-1-2-2-2-22-2-2-211-1-1-1-1-2-211111122000000110011211-1-10-2-1-121100000-1-100000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-122-1-2-2-2-2-22-2-21111-1-122-1-1-1-1-1-122000000110011-2111102-1-1-2-1-1000001100000000
χ292222-1222-122-1-12-122-1-1-12-1-12000022-1-12222-1-1-1-122-1-1-1-1002222-1-1002200-1-1-1-1-12000000-1-1-1-1-100000000-10
χ302222-1222-122-1-12-122-1-1-12-1-12000022-1-12222-1-1-1-122-1-1-1-100-2-2-2-21100-2-200-1-1-1-1-1-2000000111110000000010
χ312222-1222-122-1-12-122-1-1-12-1-120000-2-2-1-122-2-2-1-111-2-21111002222-1-100-2-2001-1-111-2000000-1-1-1110000000010
χ322222-1222-122-1-12-122-1-1-12-1-120000-2-2-1-122-2-2-1-111-2-2111100-2-2-2-2110022001-1-1112000000111-1-100000000-10
χ332222-1222-122-1-12-1-2-2-1-1-12-1-1200002-211-2-222-1-111-2-211110022-2-2-1-100-2-200-111-1-12000000-1111100000000-10
χ342222-1222-122-1-12-1-2-2-1-1-12-1-1200002-211-2-222-1-111-2-2111100-2-22211002200-111-1-1-20000001-1-1-1-10000000010
χ352222-1222-122-1-12-1-2-2-1-1-12-1-120000-2211-2-2-2-2-1-1-1-122-1-1-1-10022-2-2-1-100220011111-2000000-111-1-10000000010
χ362222-1222-122-1-12-1-2-2-1-1-12-1-120000-2211-2-2-2-2-1-1-1-122-1-1-1-100-2-2221100-2-2001111120000001-1-11100000000-10
χ372-2-22222-2-2-2-2-22222-2-2-22-22-222-22-2002-22-200-22000000002-20000002-2002-202-200002-2000000000000000000
χ382-2-22222-2-2-2-2-22222-2-2-22-22-22-22-22002-22-200-2200000000-22000000-2200-2202-20000-22000000000000000000
χ392-2-22222-2-2-2-2-2222-22-2-22-22-222-22-200-22-2200-2200000000-220000002-2002-20-220000-22000000000000000000
χ402-2-22222-2-2-2-2-2222-22-2-22-22-22-22-2200-22-2200-22000000002-2000000-2200-220-2200002-2000000000000000000
χ412-2-2222-22-2-2-2-222200-2-222-22-22-2-22000000002-20000000000002-2002-200-2200000000000002-20000002-20000
χ422-2-2222-22-2-2-2-222200-2-222-22-22-2-22000000002-2000000000000-22002-200-220000000000000-22000000-220000
χ432-2-2222-22-2-2-2-222200-2-222-22-2-222-2000000002-20000000000002-200-22002-200000000000002-2000000-220000
χ442-2-2222-22-2-2-2-222200-2-222-22-2-222-2000000002-2000000000000-2200-22002-20000000000000-220000002-20000
χ452-2-222-12-2-211-22-1-12-211-112-2-12-22-2002-2-11−i3i31-100−i3i3−i3−i3i3i32-2000000-1100-110-11−i3i300-110−i3i300000−i3i300000000
χ462-2-222-12-2-211-22-1-12-211-112-2-12-22-2002-2-11i3−i31-100i3−i3i3i3−i3−i32-2000000-1100-110-11i3−i300-110i3−i300000i3−i300000000
χ472-2-222-12-2-211-22-1-12-211-112-2-1-22-22002-2-11−i3i31-100−i3i3−i3−i3i3i3-220000001-1001-10-11−i3i3001-10i3−i300000i3−i300000000
χ482-2-222-12-2-211-22-1-12-211-112-2-1-22-22002-2-11i3−i31-100i3−i3i3i3−i3−i3-220000001-1001-10-11i3−i3001-10−i3i300000−i3i300000000
χ492-2-222-12-2-211-22-1-1-2211-112-2-12-22-200-221-1−i3i31-100i3−i3i3i3−i3−i3-22000000-1100-1101-1−i3i3001-10−i3i300000i3−i300000000
χ502-2-222-12-2-211-22-1-1-2211-112-2-12-22-200-221-1i3−i31-100−i3i3−i3−i3i3i3-22000000-1100-1101-1i3−i3001-10i3−i300000−i3i300000000
χ512-2-222-12-2-211-22-1-1-2211-112-2-1-22-2200-221-1−i3i31-100i3−i3i3i3−i3−i32-20000001-1001-101-1−i3i300-110i3−i300000−i3i300000000
χ522-2-222-12-2-211-22-1-1-2211-112-2-1-22-2200-221-1i3−i31-100−i3i3−i3−i3i3i32-20000001-1001-101-1i3−i300-110−i3i300000i3−i300000000
χ5344444-2-4-44-2-244-2-200-2-2-22-4-4244-4-400000000220000000000000000-2-20022000000000000000000000000000
χ5444444-2-4-44-2-244-2-200-2-2-22-4-42-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ554444-24-4-4-244-2-24-200-2-2-2-422-40000000000002200000000004-400-2-2000000000000000000200000000000000
χ564444-24-4-4-244-2-24-200-2-2-2-422-4000000000000220000000000-440022000000000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-44-4-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-44400-44-44-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-444004-44-4-4-4400-44-400000000000000000000000000000000000022−220000000000000000022−220000000000
χ644-44-444004-44-4-4-4400-44-4000000000000000000000000000000000000−222200000000000000000−22220000000000
χ654-44-4-2400-2-4422-4-2002-22000000000000000000i6−i600i6−i6i6−i6000000−2i32i30022−2200000000000000000−220000000000
χ664-44-4-2400-2-4422-4-2002-22000000000000000000i6−i600i6−i6i6−i60000002i3−2i300−2222000000000000000002−20000000000
χ674-44-4-2400-2-4422-4-2002-22000000000000000000−i6i600−i6i6−i6i6000000−2i32i300−2222000000000000000002−20000000000
χ684-44-4-2400-2-4422-4-2002-22000000000000000000−i6i600−i6i6−i6i60000002i3−2i30022−2200000000000000000−220000000000
χ694-4-444-2-44-422-44-2-20022-2-2-4424-4-4400000000-220000000000000000-22002-2000000000000000000000000000
χ704-4-444-2-44-422-44-2-20022-2-2-442-444-400000000-2200000000000000002-200-22000000000000000000000000000
χ714-4-44-244-42-4-42-24-24-422-2-4-224000000-224-4002-200000000000000000000000-22000000000000000000000000
χ724-4-44-244-42-4-42-24-2-4422-2-4-2240000002-2-44002-2000000000000000000000002-2000000000000000000000000
χ734-4-44-24-442-4-42-24-20022-242-2-4000000000000-220000000000004-4000000000000000000000-22000000000000
χ744-4-44-24-442-4-42-24-20022-242-2-4000000000000-22000000000000-440000000000000000000002-2000000000000
χ754-4-44-2-24-42222-2-214-4-1-112-22-2000000-22-22−2i32i3-1100−2i32i3i3i3−i3−i30000000000000001-1i3−i30000000000000000000000
χ764-4-44-2-24-42222-2-214-4-1-112-22-2000000-22-222i3−2i3-11002i3−2i3−i3−i3i3i30000000000000001-1−i3i30000000000000000000000
χ774-4-44-2-24-42222-2-21-44-1-112-22-20000002-22-2−2i32i3-11002i3−2i3−i3−i3i3i3000000000000000-11i3−i30000000000000000000000
χ784-4-44-2-24-42222-2-21-44-1-112-22-20000002-22-22i3−2i3-1100−2i32i3i3i3−i3−i3000000000000000-11−i3i30000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-8-448-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480048-8-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-44-4442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ8388-8-8-4-4004-44-4442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000
χ848-88-88-40084-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444200-22-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-400-44-4444200-22-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-4200-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000

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