Finite Group Databasebeta

← Group #11864308

Character table — Group #11864308

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212122244266812121212121224242424242424242222246688121212126661212246666666824242424222488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-111111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11-1-1-111-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-111-1-11111111-11111-1-1-1-1-111-1-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1111-1111-1-1111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111-1-11-111-1-1-111-111-1-111-1-111-1-1
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-111-1-11-1-111-1-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11111-1-1-1-111
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-111-111-1-111111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-11-1-1111-1-11-1-11111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-11-1-1-111111-111-1-111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000002-22200-2-2-2-2000000000200000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000000000-222200-2-222000000000-2000000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000002-2-2-20022-2-20000000002000000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000000000-22-2-2002222000000000-200000000000-220000
χ2122222-1222-1-122-1-122-1-1-1-122-122222-1-1222-1-1-1-122-1-1-1-1-1-1220000-1-100-1-1002-1-1-1-120000-1-1-1-1200-1-100000000
χ2222222-1222-1-122-1-122-1-1-1-122-12222-211-222-1-1-1-1-2-2111111220000-1-100-1-100-211-1-1-20000-1-111-2001100000000
χ2322222-1222-1-122-1-122-1-1-1-122-1-2-2-2-22-1-1222-1-1-1-122-1-1-1-1-1-1-2-20000110011002-1-1-1-1-200001111-2001100000000
χ2422222-1222-1-122-1-122-1-1-1-122-1-2-2-2-2-211-222-1-1-1-1-2-2111111-2-2000011001100-211-1-12000011-1-1200-1-100000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-122-122222-1-1-2-2-211-1-1-2-2111111-2-20000-1-100-1-1002-1-1112000011-1-1-2001100000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-122-12222-2112-2-211-1-122-1-1-1-1-1-1-2-20000-1-100-1-100-21111-200001111200-1-100000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-122-1-2-2-2-22-1-1-2-2-211-1-1-2-2111111220000110011002-1-111-20000-1-111200-1-100000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-122-1-2-2-2-2-2112-2-211-1-122-1-1-1-1-1-122000011001100-2111120000-1-1-1-1-2001100000000
χ292222-1222-122-1-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-1002222002200-1-1-1-1-1-1-102-1-1-100000-1-100000000-10
χ302222-1222-122-1-12-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-100-2-2-2-200-2-20011-1-1-1-1-10-211100000110000000010
χ312222-1222-122-1-12-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-2111100222200-2-200-1-1111-1-10-2-1-1-100000110000000010
χ322222-1222-122-1-12-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-2111100-2-2-2-200220011111-1-10211100000-1-100000000-10
χ332222-1222-122-1-12-1-2-2-1-1-12-1-120000222-211-2-2-1-111-2-211110022-2-200220011-1-1-1110-2-1-1100000-1-10000000010
χ342222-1222-122-1-12-1-2-2-1-1-12-1-120000222-211-2-2-1-111-2-2111100-2-22200-2-200-1-1-1-1-1110211-1000001100000000-10
χ352222-1222-122-1-12-1-2-2-1-1-12-1-120000-2-2-2211-2-2-1-1-1-122-1-1-1-10022-2-200-2-200111111102-1-11000001100000000-10
χ362222-1222-122-1-12-1-2-2-1-1-12-1-120000-2-2-2211-2-2-1-1-1-122-1-1-1-100-2-222002200-1-1111110-211-100000-1-10000000010
χ372-22-2222-2-2-2-22-2222-2-2-22-22-222-22-200002-22-2-22000000002-200002-2002-2000002-2000002-2000000000000000
χ382-22-2222-2-2-2-22-2222-2-2-22-22-22-22-2200002-22-2-2200000000-220000-2200-22000002-200000-22000000000000000
χ392-22-2222-2-2-2-22-222-22-2-22-22-222-22-20000-22-22-2200000000-2200002-2002-200000-2200000-22000000000000000
χ402-22-2222-2-2-2-22-222-22-2-22-22-22-22-220000-22-22-22000000002-20000-2200-2200000-22000002-2000000000000000
χ412-22-222-22-2-2-22-22200-2-222-22-22-2-22000000002-200000000002-2002-200-220000000002-200000000002-2000000
χ422-22-222-22-2-2-22-22200-2-222-22-22-2-22000000002-20000000000-22002-200-22000000000-220000000000-22000000
χ432-22-222-22-2-2-22-22200-2-222-22-2-222-2000000002-200000000002-200-22002-20000000002-20000000000-22000000
χ442-22-222-22-2-2-22-22200-2-222-22-2-222-2000000002-20000000000-2200-22002-2000000000-2200000000002-2000000
χ452-22-22-12-2-2112-2-1-12-211-112-2-12-22-20−i3i302-2-111-100−i3i3−i3−i3i3i32-20000-1100-11000−i3i3-1100000-11−i3i3000−i3i300000000
χ462-22-22-12-2-2112-2-1-12-211-112-2-12-22-20i3−i302-2-111-100i3−i3i3i3−i3−i32-20000-1100-11000i3−i3-1100000-11i3−i3000i3−i300000000
χ472-22-22-12-2-2112-2-1-12-211-112-2-1-22-220−i3i302-2-111-100−i3i3−i3−i3i3i3-2200001-1001-1000−i3i3-11000001-1i3−i3000i3−i300000000
χ482-22-22-12-2-2112-2-1-12-211-112-2-1-22-220i3−i302-2-111-100i3−i3i3i3−i3−i3-2200001-1001-1000i3−i3-11000001-1−i3i3000−i3i300000000
χ492-22-22-12-2-2112-2-1-1-2211-112-2-12-22-20−i3i30-221-11-100i3−i3i3i3−i3−i3-220000-1100-11000−i3i31-1000001-1−i3i3000i3−i300000000
χ502-22-22-12-2-2112-2-1-1-2211-112-2-12-22-20i3−i30-221-11-100−i3i3−i3−i3i3i3-220000-1100-11000i3−i31-1000001-1i3−i3000−i3i300000000
χ512-22-22-12-2-2112-2-1-1-2211-112-2-1-22-220−i3i30-221-11-100i3−i3i3i3−i3−i32-200001-1001-1000−i3i31-100000-11i3−i3000−i3i300000000
χ522-22-22-12-2-2112-2-1-1-2211-112-2-1-22-220i3−i30-221-11-100−i3i3−i3−i3i3i32-200001-1001-1000i3−i31-100000-11−i3i3000i3−i300000000
χ5344444-2-4-44-2-244-2-200-2-2-22-4-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ5444444-2-4-44-2-244-2-200-2-2-22-4-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ554444-24-4-4-244-2-24-200-2-2-2-422-4000000000000220000000000004-400000022000000000-200000000000000000
χ564444-24-4-4-244-2-24-200-2-2-2-422-400000000000022000000000000-44000000-2-2000000000200000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-4-44-44004-4-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-44400-44-4-44-44004-4-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44-2-44-4224-4-2-20022-2-2-4424-4-4400000000-2200000000000000-22002-200000000000000000000000000000
χ644-44-44-2-44-4224-4-2-20022-2-2-442-444-400000000-22000000000000002-200-2200000000000000000000000000000
χ654-44-4-244-42-4-4-224-24-422-2-4-22400000000-224-42-20000000000000000000000000-220000000000000000000000
χ664-44-4-244-42-4-4-224-2-4422-2-4-224000000002-2-442-200000000000000000000000002-20000000000000000000000
χ674-44-4-24-442-4-4-224-20022-242-2-4000000000000-2200000000004-400000000000000000-22000000000000000000
χ684-44-4-24-442-4-4-224-20022-242-2-4000000000000-220000000000-44000000000000000002-2000000000000000000
χ694-44-4-2-24-4222-22-214-4-1-112-22-200000−2i32i30-22-22-1100−2i32i3i3i3−i3−i3000000000000000i3−i31-10000000000000000000000
χ704-44-4-2-24-4222-22-214-4-1-112-22-2000002i3−2i30-22-22-11002i3−2i3−i3−i3i3i3000000000000000−i3i31-10000000000000000000000
χ714-44-4-2-24-4222-22-21-44-1-112-22-200000−2i32i302-22-2-11002i3−2i3−i3−i3i3i3000000000000000i3−i3-110000000000000000000000
χ724-44-4-2-24-4222-22-21-44-1-112-22-2000002i3−2i302-22-2-1100−2i32i3i3i3−i3−i3000000000000000−i3i3-110000000000000000000000
χ734-4-4444004-44-4-4-4400-44-4000000000000000000000000000000000022−22000000000000000000022−220000000000
χ744-4-4444004-44-4-4-4400-44-40000000000000000000000000000000000−22220000000000000000000−22220000000000
χ754-4-44-2400-2-4422-4-2002-220000000000000000006−6006−66−60000000022−220023−23000000000000000−220000000000
χ764-4-44-2400-2-4422-4-2002-220000000000000000006−6006−66−600000000−222200−23230000000000000002−20000000000
χ774-4-44-2400-2-4422-4-2002-22000000000000000000−6600−66−660000000022−2200−2323000000000000000−220000000000
χ784-4-44-2400-2-4422-4-2002-22000000000000000000−6600−66−6600000000−22220023−230000000000000002−20000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-8-44-884-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-480048-84-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-442002-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-4004-444-442002-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-8-4-4-88444-44-4200-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000
χ858-8-888-40084-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44-4444200-22-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ878-8-88-4-400-44-4444200-22-2000000000000000000−2626006−66−600000000000000000000000000000000000000000

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