Finite Group Databasebeta

← Group #11873340

Character table — Group #11873340

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666663446668812121212412121212121224242424242424242444444412121212121212121212444444688121212121224242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-11-1-1-1-111111111-1-1-1-1-111-1111-1-1-111-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-11-1-11-11111-1-1111111-1-1-1-11-1-11-1-1-1111-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-111-1-1-1-1-1-11-111-111-1-1-1-1-111-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-111-1-1-1-1-1-1-11-1-11-1-111111-1-1-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-11-11-1-1-11111-1-111-1-11-11
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-11111-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111-1-111-1-1-1-1-1111-1-1-1-111-1-1111111-11-1
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-1-1-11-1-1-11111-1-111-1-111111-1-1
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-11111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200000-2-2000000002200-2-200-2-2-2-2000000-2-222002000020000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2002-20022-2-200000022-2-20020000-20000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-2200-2200-2-22200000022-2-200-2000020000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-20022002222000000-2-22200-20000-20000000000000
χ2122222-122-1-1222-1-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-12022020000-1-1-12-1-1-1-1000002-102-1-1000-1-10000000-10
χ2222222-122-1-1222-1-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-1-20-2-20-2000011-12-1-1-1-100000-210-21100011000000010
χ2322222-122-1-1222-1-122-1-1-1-2-22-1-12-2-1-122-1-111-2-211112022020000-1-11-2-1-11100000-2-10-2-1-100011000000010
χ2422222-122-1-1222-1-122-1-1-1-2-22-1-12-2-1-122-1-111-2-21111-20-2-20-20000111-2-1-11100000210211000-1-10000000-10
χ2522222-122-1-1222-1-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-120-2-2020000-1-11-2111100000-2-10211000-1-1000000010
χ2622222-122-1-1222-1-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-1-20220-20000111-2111100000210-2-1-1000110000000-10
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-2111120-2-2020000-1-1-1211-1-1000002-10-211000110000000-10
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-21111-20220-2000011-1211-1-100000-2102-1-1000-1-1000000010
χ292222-122222-1-1-12-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-102002022-1-1002-1-1-1-1-100002002000-1-1-100-1-10000-100
χ302222-122222-1-1-12-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-10-200-20-2-211002-1-1-1-1-10000-200-200011100110000100
χ312222-122222-1-1-12-122-1-1-1-2-2-122-1-222-1-1-1-1-2-211111102002022-1-100-21-1-1110000-200-2000-1-1-100110000100
χ322222-122222-1-1-12-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111110-200-20-2-21100-21-1-1110000200200011100-1-10000-100
χ332222-122222-1-1-12-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1020020-2-2-1-100-2111110000-2002000-11100-1-10000100
χ342222-122222-1-1-12-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-10-200-20221100-2111110000200-20001-1-100110000-100
χ352222-122222-1-1-12-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111020020-2-2-1-1002-111-1-10000200-2000-11100110000-100
χ362222-122222-1-1-12-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-21111110-200-202211002-111-1-10000-20020001-1-100-1-10000100
χ372-2-22222-2-2-22-2-2222i−2i-22-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i002i−2i2i−2i000000000000002-200000
χ382-2-22222-2-2-22-2-2222i−2i-22-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i00−2i2i−2i2i00000000000000-2200000
χ392-2-22222-2-2-22-2-222−2i2i-22-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i002i−2i2i−2i00000000000000-2200000
χ402-2-22222-2-2-22-2-222−2i2i-22-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i00−2i2i−2i2i000000000000002-200000
χ412-2-2222-22-2-22-2-22200-22-2002-22-2000002-200000000002i−2i002-200000000002i−2i−2i2i000002i−2i02-200000000000
χ422-2-2222-22-2-22-2-22200-22-2002-22-2000002-200000000002i−2i00-220000000000−2i2i2i−2i000002i−2i0-2200000000000
χ432-2-2222-22-2-22-2-22200-22-2002-22-2000002-20000000000−2i2i002-20000000000−2i2i2i−2i00000−2i2i02-200000000000
χ442-2-2222-22-2-22-2-22200-22-2002-22-2000002-20000000000−2i2i00-2200000000002i−2i−2i2i00000−2i2i0-2200000000000
χ4544444-2-4-4-2-2444-2-200-2-2-200-422-400000220000000040000-4000022000000000000-2000000000000000000
χ4644444-2-4-4-2-2444-2-200-2-2-200-422-4000002200000000-4000040000-2-20000000000002000000000000000000
χ474444-24-4-444-2-2-24-200-2-2-2002-4-420000022000000000400-4000220000000000000000000-20000000000000
χ484444-24-4-444-2-2-24-200-2-2-2002-4-420000022000000000-4004000-2-2000000000000000000020000000000000
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
χ5344-4-444004-4-44-4-4400-4-4422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000000
χ5444-4-444004-4-44-4-4400-4-44−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000000
χ5544-4-44-200-22-44-42-20022-222−2200000000000−2222−22−2−222000000000023−23000000000000000000006−6000000000
χ5644-4-44-200-22-44-42-20022-222−2200000000000−2222−22−2−2220000000000−232300000000000000000000−66000000000
χ5744-4-44-200-22-44-42-20022-2−2222000000000002−2−222222−2−2000000000023−2300000000000000000000−66000000000
χ5844-4-44-200-22-44-42-20022-2−2222000000000002−2−222222−2−20000000000−2323000000000000000000006−6000000000
χ5944-4-4-24004-42-22-4-20022-222−220000000000022−22−22−2−2220000000023−230000000000000000000000006−60000000
χ6044-4-4-24004-42-22-4-20022-222−220000000000022−22−22−2−22200000000−2323000000000000000000000000−660000000
χ6144-4-4-24004-42-22-4-20022-2−222200000000000−22222−222−2−20000000023−23000000000000000000000000−660000000
χ6244-4-4-24004-42-22-4-20022-2−222200000000000−22222−222−2−200000000−23230000000000000000000000006−60000000
χ634-44-44400-44-4-44-44004-4-40000000000000000000000000000000000000000000000000000000000022−22000
χ644-44-44400-44-4-44-44004-4-400000000000000000000000000000000000000000000000000000000000−2222000
χ654-4-444-24-4224-4-4-2-24i−4i2-2200-4-2240−2i2i4i−4i2-20000000000000000000000−2i2i000000000000000000000000000
χ664-4-444-24-4224-4-4-2-2−4i4i2-2200-4-22402i−2i−4i4i2-200000000000000000000002i−2i000000000000000000000000000
χ674-4-444-2-44224-4-4-2-2002-220042-2-400000-2200000000004i−4i00000000000000000000000−2i2i00000000000000
χ684-4-444-2-44224-4-4-2-2002-220042-2-400000-220000000000−4i4i000000000000000000000002i−2i00000000000000
χ694-4-44-244-4-4-4-2224-24i−4i2-220024-4-204i−4i−2i2i2-20000000000000000000000−2i2i000000000000000000000000000
χ704-4-44-244-4-4-4-2224-2−4i4i2-220024-4-20−4i4i2i−2i2-200000000000000000000002i−2i000000000000000000000000000
χ714-4-44-24-44-4-4-2224-2002-2200-2-44200000-22000000000000004-40000000000000000000000-2200000000000
χ724-4-44-24-44-4-4-2224-2002-2200-2-44200000-2200000000000000-4400000000000000000000002-200000000000
χ734-4-44-2-24-422-222-214i−4i-11-1002-22-20−2i2i−2i2i-1100003-33-300000000000000i−i3i−3i0000000000000000000000000
χ744-4-44-2-24-422-222-214i−4i-11-1002-22-20−2i2i−2i2i-110000-33-3300000000000000i−i−3i3i0000000000000000000000000
χ754-4-44-2-24-422-222-21−4i4i-11-1002-22-202i−2i2i−2i-1100003-33-300000000000000−ii−3i3i0000000000000000000000000
χ764-4-44-2-24-422-222-21−4i4i-11-1002-22-202i−2i2i−2i-110000-33-3300000000000000−ii3i−3i0000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-444200-2-2242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-444200-2-22−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000000
χ808-88-88-4004-4-8-884-400-4440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8844-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-442002-2-20000000000000000032−32−32320000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-442002-2-200000000000000000−323232−320000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-444-4200-22-200-44-44000002-2000000000000000000000000000000000000000000000000000

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