Finite Group Databasebeta

← Group #11779738

Character table — Group #11779738

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666223466666661212121212121212121212124666666121212121212121212121212121222666622466668812122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1111111111111-1-1-1-1-1
χ61111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111111-1-1
χ92222222-22-2222222222-222222222-2-222-2-2-2-2-2-22-2222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ102222222-22-2222222-2-22-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222-2-22222000000000000000000000000000000
χ11222222-22-22222222002-20000222-222-2-2222222-20000000-2-20000-2-2-2-2000022222200-2000000-2-20000000000000
χ12222222-22-22222222002-20000222-222-2-2222222-20000000-2-20000-2-2-2-20000-2-2-2-2-2-2002000000220000000000000
χ13222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-22200000000002-2022-2-200000000000000000
χ14222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-2220000000000-220-2-22200000000000000000
χ1522222-1222222-1-1-1222-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-100-1-10000000000000
χ1622222-1222222-1-1-1222-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-2-2111100110000000000000
χ1722222-1222222-1-1-12-2-2-121111-1-1-12-1-1-1-122-1-1-1-12-2-2-211112-111-2-2-1-1-1-1111122-1-1-1-1-2-22111100-1-10000000000000
χ1822222-1222222-1-1-12-2-2-121111-1-1-12-1-1-1-122-1-1-1-12-2-2-211112-111-2-2-1-1-1-11111-2-2111122-2-1-1-1-100110000000000000
χ1922222-12-22-222-1-1-1222-1-2-1-1-1-1-1-1-1211-1-1-2-211112-222-1-1-1-1-2111-2-2-1-111111100−i3−i3i3i3000−i3i3−i3i300−i3i30000000000000
χ2022222-12-22-222-1-1-1222-1-2-1-1-1-1-1-1-1211-1-1-2-211112-222-1-1-1-1-2111-2-2-1-111111100i3i3−i3−i3000i3−i3i3−i300i3−i30000000000000
χ2122222-12-22-222-1-1-12-2-2-1-21111-1-1-1211-1-1-2-2111122-2-21111-21-1-122-1-111-1-1-1-100−i3−i3i3i3000i3−i3i3−i300−i3i30000000000000
χ2222222-12-22-222-1-1-12-2-2-1-21111-1-1-1211-1-1-2-2111122-2-21111-21-1-122-1-111-1-1-1-100i3i3−i3−i3000−i3i3−i3i300i3−i30000000000000
χ2322222-1-22-2222-1-1-1200-1-2−i3−i3i3i3-1-1-1-2-1-11122-1-1-1-1-2000−i3−i3i3i3-21−i3i3001111−i3−i3i3i322-1-1-1-100-2−i3i3i3−i300110000000000000
χ2422222-1-22-2222-1-1-1200-1-2−i3−i3i3i3-1-1-1-2-1-11122-1-1-1-1-2000−i3−i3i3i3-21−i3i3001111−i3−i3i3i3-2-21111002i3−i3−i3i300-1-10000000000000
χ2522222-1-22-2222-1-1-1200-1-2i3i3−i3−i3-1-1-1-2-1-11122-1-1-1-1-2000i3i3−i3−i3-21i3−i3001111i3i3−i3−i322-1-1-1-100-2i3−i3−i3i300110000000000000
χ2622222-1-22-2222-1-1-1200-1-2i3i3−i3−i3-1-1-1-2-1-11122-1-1-1-1-2000i3i3−i3−i3-21i3−i3001111i3i3−i3−i3-2-21111002−i3i3i3−i300-1-10000000000000
χ2722222-1-2-2-2-222-1-1-1200-12−i3−i3i3i3-1-1-1-21111-2-21111-2000−i3−i3i3i32-1i3−i30011-1-1i3i3−i3−i300−i3−i3i3i32-20-1-11100i3−i30000000000000
χ2822222-1-2-2-2-222-1-1-1200-12−i3−i3i3i3-1-1-1-21111-2-21111-2000−i3−i3i3i32-1i3−i30011-1-1i3i3−i3−i300i3i3−i3−i3-22011-1-100−i3i30000000000000
χ2922222-1-2-2-2-222-1-1-1200-12i3i3−i3−i3-1-1-1-21111-2-21111-2000i3i3−i3−i32-1−i3i30011-1-1−i3−i3i3i300−i3−i3i3i3-22011-1-100i3−i30000000000000
χ3022222-1-2-2-2-222-1-1-1200-12i3i3−i3−i3-1-1-1-21111-2-21111-2000i3i3−i3−i32-1−i3i30011-1-1−i3−i3i3i300i3i3−i3−i32-20-1-11100−i3i30000000000000
χ312222-122222-1-1222-122-122222-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100000000000002200-1-1-1-100002-1-100
χ322222-122222-1-1222-122-122222-1-1-1-12222-1-1-1-1-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-10000000000000-2-20011110000-21100
χ332222-122222-1-1222-1-2-2-12-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-2111111-12-2-211-1-1-1-1111100000000000002200-1-1-1-10000-21100
χ342222-122222-1-1222-1-2-2-12-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-2111111-12-2-211-1-1-1-111110000000000000-2-200111100002-1-100
χ352222-122-22-2-1-1222-122-1-22222-1-1-1-1-2-222111111-1-2-1-1-1-1-1-11-2-2-211-1-111111100000000000000000−i3−i3i3i300000−i3i300
χ362222-122-22-2-1-1222-122-1-22222-1-1-1-1-2-222111111-1-2-1-1-1-1-1-11-2-2-211-1-111111100000000000000000i3i3−i3−i300000i3−i300
χ372222-122-22-2-1-1222-1-2-2-1-2-2-2-2-2-1-1-1-1-2-222111111-121111111-222-1-1-1-111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-122-22-2-1-1222-1-2-2-1-2-2-2-2-2-1-1-1-1-2-222111111-121111111-222-1-1-1-111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ392-22-22220-202-2-2-22-22-2202-22-22-2-22002-2000000-202-22-22-20000002-2000000000000000000000000000−i2−i2i2i2000−i2i2
χ402-22-22220-202-2-2-22-22-2202-22-22-2-22002-2000000-202-22-22-20000002-2000000000000000000000000000i2i2−i2−i2000i2−i2
χ412-22-22220-202-2-2-22-2-2220-22-222-2-22002-2000000-20-22-22-220000002-2000000000000000000000000000−i2−i2i2i2000i2−i2
χ422-22-22220-202-2-2-22-2-2220-22-222-2-22002-2000000-20-22-22-220000002-2000000000000000000000000000i2i2−i2−i2000−i2i2
χ432-2-22220-202-2-2-22-2200200000-2-2202-2002-222-2-200000000000000000000002-22-22-200000002−2002−22−22−22−200000
χ442-2-22220-202-2-2-22-2200200000-2-2202-2002-222-2-200000000000000000000002-22-22-20000000−2200−22−22−22−2200000
χ452-2-22220-202-2-2-22-2200200000-2-2202-2002-222-2-20000000000000000000000-22-22-2200000002−2002−22−2−22−2200000
χ462-2-22220-202-2-2-22-2200200000-2-2202-2002-222-2-20000000000000000000000-22-22-220000000−2200−22−222−22−200000
χ474444-24-44-44-2-2444-200-2-40000-2-2-2244-4-4-2-2-2-2-2-2200000002-4000022220000000000000000000000000000000000
χ484444-24-4-4-4-4-2-2444-200-240000-2-2-22-4-4-4-422222220000000-24000022-2-20000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-2-21111-24-2-21111-2-2-2-2-2-211111111000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-2-422-1-1-1-1-2-222221111-1-1-1-1000000000000000000000000000000
χ514444-2-24-44-4-2-2-2-2-2-2441-4-2-2-2-2111-222-2-222-1-1-1-1-2-4-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000
χ524444-2-24-44-4-2-2-2-2-2-2-4-41-42222111-222-2-222-1-1-1-1-2422-1-1-1-122-2-2-2-211-1-11111000000000000000000000000000000
χ534444-2-2-44-44-2-2-2-2-2-2001-4−2i3−2i32i32i31112-2-222-2-211112000i3i3−i3−i322−2i32i300-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ544444-2-2-44-44-2-2-2-2-2-2001-42i32i3−2i3−2i31112-2-222-2-211112000−i3−i3i3i3222i3−2i300-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-12000i3i3−i3−i3-2-22i3−2i300-1-111−i3−i3i3i3000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-12000−i3−i3i3i3-2-2−2i32i300-1-111i3i3−i3−i3000000000000000000000000000000
χ5744-4-4440000-444-4-4-400400000-44-40000000000000000000000000000000000000000000000000000002i−2i−2i2i00000
χ5844-4-4440000-444-4-4-400400000-44-4000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000
χ594-44-444-40404-4-4-44-4004000004-4-4-400-4400000040000000000000-44000000000000000000000000000000000000
χ604-44-44-240-404-422-2-44-4-20-22-22-222400-22000000-404-4-22-22000000-22000000000000000000000000000000000000
χ614-44-44-240-404-422-2-4-44-202-22-2-222400-22000000-40-442-22-2000000-22000000000000000000000000000000000000
χ624-44-44-2-40404-422-2-400-20−2i32i32i3−2i3-222-4002-20000004000−2i32i32i3−2i30000002-2000000000000000000000000000000000000
χ634-44-44-2-40404-422-2-400-202i3−2i3−2i32i3-222-4002-200000040002i3−2i3−2i32i30000002-2000000000000000000000000000000000000
χ644-44-4-2440-40-22-4-4424-4-204-44-4-222-2004-400000020-22-22-22000000-22000000000000000000000000000000000000
χ654-44-4-2440-40-22-4-442-44-20-44-44-222-2004-4000000202-22-22-2000000-22000000000000000000000000000000000000
χ664-44-4-24-4040-22-4-44200-200000-222200-44000000-20000000000023−232-20023−2323−23000000000000000000000000000000
χ674-44-4-24-4040-22-4-44200-200000-222200-44000000-200000000000−23232-200−2323−2323000000000000000000000000000000
χ684-44-4-2-240-40-2222-224-410-22-221-1-1-200-22003i−3i3i−3i20-221-11-10000001-13i−3i3i−3i−3i3i000000000000000000000000000000
χ694-44-4-2-240-40-2222-224-410-22-221-1-1-200-2200−3i3i−3i3i20-221-11-10000001-1−3i3i−3i3i3i−3i000000000000000000000000000000
χ704-44-4-2-240-40-2222-22-44102-22-21-1-1-200-22003i−3i3i−3i202-2-11-110000001-13i−3i−3i3i3i−3i000000000000000000000000000000
χ714-44-4-2-240-40-2222-22-44102-22-21-1-1-200-2200−3i3i−3i3i202-2-11-110000001-1−3i3i3i−3i−3i3i000000000000000000000000000000
χ724-44-4-2-2-4040-2222-220010−2i32i32i3−2i31-1-12002-2003i−3i3i−3i-2000i3−i3−i3i30000−2323-11−3i3i3−33−3000000000000000000000000000000
χ734-44-4-2-2-4040-2222-220010−2i32i32i3−2i31-1-12002-200−3i3i−3i3i-2000i3−i3−i3i3000023−23-113i−3i−33−33000000000000000000000000000000
χ744-44-4-2-2-4040-2222-2200102i3−2i3−2i32i31-1-12002-2003i−3i3i−3i-2000−i3i3i3−i3000023−23-11−3i3i−33−33000000000000000000000000000000
χ754-44-4-2-2-4040-2222-2200102i3−2i3−2i32i31-1-12002-200−3i3i−3i3i-2000−i3i3i3−i30000−2323-113i−3i3−33−3000000000000000000000000000000
χ764-4-4444040-4-4-4-44-4400400000-4-440-4400-44-4-4440000000000000000000000000000000000000000000000000000
χ774-4-444-2040-4-4-42-22400-20000022-202-200-4422-2-2000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ784-4-444-2040-4-4-42-22400-20000022-202-200-4422-2-20000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ794-4-444-20-404-4-42-22400-20000022-20-22004-4-2-22200000000000000000000004-4-22-22000000000000000000000000
χ804-4-444-20-404-4-42-22400-20000022-20-22004-4-2-2220000000000000000000000-442-22-2000000000000000000000000
χ814-4-44-24040-422-44-4-200-20000022-20-44002-222-2-2000000000000000000000000000000000000000i6−i6−i6i6000000000
χ824-4-44-24040-422-44-4-200-20000022-20-44002-222-2-2000000000000000000000000000000000000000−i6i6i6−i6000000000
χ834-4-44-240-40422-44-4-200-20000022-204-400-22-2-2220000000000000000000000000000000000022−2200−22−22000000000
χ844-4-44-240-40422-44-4-200-20000022-204-400-22-2-22200000000000000000000000000000000000−2222002−22−2000000000
χ8588-8-88-40000-88-444-800-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4800004-48-8-8400-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-4-444400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4-444400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-8-88-4-4080-8444-44-400200000-2-2204-4004-4-2-2220000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-808444-44-400200000-2-220-4400-4422-2-20000000000000000000000000000000000000000000000000000

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