Finite Group Databasebeta

← Group #11864499

Character table — Group #11864499

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666344666881212121241212121212122424242424242424222244446612121212121212122244446668812121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-11-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-1-11-111111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-11-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11-111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-11-11
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-111
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-111-1-111-1-1-1-1-1111-11-11-1-111-1-11111-11-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-111-111-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1-1-11-1-1-11-11-111-1-11111111-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000000022-2-20022-2-2000000-2-2220000200-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2200-2-2-2-200000022-2-2000020020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-222-200222200000022-2-20000-200-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-2-22200-2-222000000-2-2220000-20020000000000000
χ2122222-1222-12-1-12-122-1-1-122-12-122-1-122-1-122-1-1-1-1-1-12220200000-1-1-12-1-1-1-1000020-1-1-120000-1-1000000-100
χ2222222-1222-12-1-12-122-1-1-122-12-122-1-122-1-122-1-1-1-1-1-1-2-2-20-20000011-12-1-1-1-10000-20111-2000011000000100
χ2322222-1222-12-1-12-122-1-1-1-2-2-12-12-2-1-122-1-1-2-21111112220200000-1-11-2-1-1110000-20-1-1-1-2000011000000100
χ2422222-1222-12-1-12-122-1-1-1-2-2-12-12-2-1-122-1-1-2-2111111-2-2-20-200000111-2-1-11100002011120000-1-1000000-100
χ2522222-1222-12-1-12-1-2-2-1-1-122-12-12-211-2-2-1-122-1-1-1-1-1-122-20-200000111-21111000020-1-11-2000011000000-100
χ2622222-1222-12-1-12-1-2-2-1-1-122-12-12-211-2-2-1-122-1-1-1-1-1-1-2-220200000-1-11-211110000-2011-120000-1-1000000100
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-1-2-211111122-20-20000011-1211-1-10000-20-1-1120000-1-1000000100
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-12-12211-2-2-1-1-2-2111111-2-220200000-1-1-1211-1-100002011-1-2000011000000-100
χ292222-1222-12-122-1-122-1-1-1222-12-1222-1-1-1-1-1-122-1-1-1-100020222-1-1002-1-1-1-1-100000200002-1-1-100-1-100000-10
χ302222-1222-12-122-1-122-1-1-1222-12-1222-1-1-1-1-1-122-1-1-1-1000-20-2-2-211002-1-1-1-1-100000-20000-211100110000010
χ312222-1222-12-122-1-122-1-1-1-2-22-12-1-222-1-1-1-111-2-2111100020222-1-100-21-1-11100000-20000-2-1-1-100110000010
χ322222-1222-12-122-1-122-1-1-1-2-22-12-1-222-1-1-1-111-2-21111000-20-2-2-21100-21-1-1110000020000211100-1-100000-10
χ332222-1222-12-122-1-1-2-2-1-1-1222-12-1-2-2-211-1-1-1-122-1-1-1-1000202-2-2-1-100-21111100000-200002-11100-1-10000010
χ342222-1222-12-122-1-1-2-2-1-1-1222-12-1-2-2-211-1-1-1-122-1-1-1-1000-20-2221100-2111110000020000-21-1-1001100000-10
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-12-12-2-211-1-111-2-21111000202-2-2-1-1002-111-1-10000020000-2-111001100000-10
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-12-12-2-211-1-111-2-21111000-20-22211002-111-1-100000-2000021-1-100-1-10000010
χ372-2-22222-2-2-2-2-222200-2-2200-2-222000002-2000000002-200002-200000000002-22-2002-200002-200000000000
χ382-2-22222-2-2-2-2-222200-2-2200-2-222000002-2000000002-20000-220000000000-22-22002-20000-2200000000000
χ392-2-22222-2-2-2-2-222200-2-2200-2-222000002-200000000-2200002-20000000000-22-2200-2200002-200000000000
χ402-2-22222-2-2-2-2-222200-2-2200-2-222000002-200000000-220000-2200000000002-22-200-220000-2200000000000
χ412-2-2222-22-2-2-2-22222-2-2-220022-2-202-22-2-2200000000000000000000002-2002-2-22000000000000002-200000
χ422-2-2222-22-2-2-2-22222-2-2-220022-2-202-22-2-2200000000000000000000002-200-222-200000000000000-2200000
χ432-2-2222-22-2-2-2-2222-22-2-220022-2-20-22-22-220000000000000000000000-22002-2-2200000000000000-2200000
χ442-2-2222-22-2-2-2-2222-22-2-220022-2-20-22-22-220000000000000000000000-2200-222-2000000000000002-200000
χ4544444-2-4-44-24-2-24-200-2-2-2002-42-40000022000000000040-4000002200000000000000-20000000000000000
χ4644444-2-4-44-24-2-24-200-2-2-2002-42-400000220000000000-40400000-2-20000000000000020000000000000000
χ474444-24-4-4-24-244-2-200-2-2-200-42-4200000220000000000040-400-2-2000000000000000000020000000000000
χ484444-24-4-4-24-244-2-200-2-2-200-42-42000002200000000000-40400220000000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-444004-4-44-4-44004-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000000
χ5444-4-444004-4-44-4-44004-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000000
χ5544-4-44-20042-4-22-4-200-22222−220000000000022−22−22−2−222000000000023−23000000000000000000006−6000000000
χ5644-4-44-20042-4-22-4-200-22222−220000000000022−22−22−2−2220000000000−232300000000000000000000−66000000000
χ5744-4-44-20042-4-22-4-200-222−222200000000000−22222−222−2−2000000000023−2300000000000000000000−66000000000
χ5844-4-44-20042-4-22-4-200-222−222200000000000−22222−222−2−20000000000−2323000000000000000000006−6000000000
χ5944-4-4-2400-2-424-42-200-22222−2200000000000−2222−22−2−22200000000−2i32i3000000000000000000000000i6−i60000000
χ6044-4-4-2400-2-424-42-200-22222−2200000000000−2222−22−2−222000000002i3−2i3000000000000000000000000−i6i60000000
χ6144-4-4-2400-2-424-42-200-222−2222000000000002−2−222222−2−200000000−2i32i3000000000000000000000000−i6i60000000
χ6244-4-4-2400-2-424-42-200-222−2222000000000002−2−222222−2−2000000002i3−2i3000000000000000000000000i6−i60000000
χ634-44-44400-444-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ644-44-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ654-4-444-24-4-42-42-24-20022-2002-4-2400000-22000000004-40000000000000000000000-2200000000000000000
χ664-4-444-24-4-42-42-24-20022-2002-4-2400000-2200000000-4400000000000000000000002-200000000000000000
χ674-4-444-2-44-42-42-24-24-422-200-242-40-224-42-20000000000000000000000-22000000000000000000000000000
χ684-4-444-2-44-42-42-24-2-4422-200-242-402-2-442-200000000000000000000002-2000000000000000000000000000
χ694-4-44-244-42-42-44-2-20022-200-424-200000-22000000000000004-40000000000000000000000-2200000000000
χ704-4-44-244-42-42-44-2-20022-200-424-200000-2200000000000000-4400000000000000000000002-200000000000
χ714-4-44-24-442-42-44-2-24-422-2004-2-4204-4-222-20000000000000000000000-22000000000000000000000000000
χ724-4-44-24-442-42-44-2-2-4422-2004-2-420-442-22-200000000000000000000002-2000000000000000000000000000
χ734-4-44-2-2-442222-2-214-4-1-1100-2-2220-22-22-1100003-33-3000000000000001-13-30000000000000000000000000
χ744-4-44-2-2-442222-2-214-4-1-1100-2-2220-22-22-110000-33-33000000000000001-1-330000000000000000000000000
χ754-4-44-2-2-442222-2-21-44-1-1100-2-22202-22-2-1100003-33-300000000000000-11-330000000000000000000000000
χ764-4-44-2-2-442222-2-21-44-1-1100-2-22202-22-2-110000-33-3300000000000000-113-30000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4442002-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ808-88-88-400-8-4844-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-480048-4-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4-4444200-22-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-4444200-22-200000000000000000−323232−320000000000000000000000000000000000000000000
χ848-8-88-4-48-84444-4-4200-2-220044-4-4000002-2000000000000000000000000000000000000000000000000000

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