Finite Group Databasebeta

← Group #11780450

Character table — Group #11780450

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222244444444444444444444444888888888888888888888121212121212242424242424242424242424242424363636364848487272
order1222334444666666223466666661212121212121212121212124666666121212121212121212121212121244121212122446688121212122424242488884121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1
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
χ51111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-111111111-1-1-1-1-1
χ61111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-1
χ92222222-2-22222222002-20000222-22222-2-22222-20000000-2-20000-2-2-2-20000222222-200-2-20000000000000000000
χ102222222-2-22222222002-20000222-22222-2-22222-20000000-2-20000-2-2-2-20000-2-2-2-2-2-2200220000000000000000000
χ11222222-222-2222222222-222222222-2-2-2-222-2-2-2-22-2222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000000000000000000000
χ12222222-222-2222222-2-22-2-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-22222000000000000000000000000000000
χ13222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-222000000000002-2000022-2-20000000000000
χ14222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-20000000220000-2-22200000000000-220000-2-2220000000000000
χ1522222-1222222-1-12-122-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1222-1-100-1-1-1-10000000000000
χ1622222-1222222-1-12-122-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-21111-2-2-2110011110000000000000
χ1722222-1222222-1-12-1-2-2-121111-1-1-12-1-122-1-1-1-1-1-12-2-2-211112-111-2-2-1-1-1-1111122-1-1-1-12-2-2-1-10011110000000000000
χ1822222-1222222-1-12-1-2-2-121111-1-1-12-1-122-1-1-1-1-1-12-2-2-211112-111-2-2-1-1-1-11111-2-21111-2221100-1-1-1-10000000000000
χ1922222-12-2-2222-1-12-100-1-2−i3−i3i3i3-1-1-1-2-1-12211-1-1-1-1-2000−i3−i3i3i3-21−i3i3001111−i3−i3i3i322-1-1-1-1-2001100−i3i3−i3i30000000000000
χ2022222-12-2-2222-1-12-100-1-2−i3−i3i3i3-1-1-1-2-1-12211-1-1-1-1-2000−i3−i3i3i3-21−i3i3001111−i3−i3i3i3-2-21111200-1-100i3−i3i3−i30000000000000
χ2122222-12-2-2222-1-12-100-1-2i3i3−i3−i3-1-1-1-2-1-12211-1-1-1-1-2000i3i3−i3−i3-21i3−i3001111i3i3−i3−i322-1-1-1-1-2001100i3−i3i3−i30000000000000
χ2222222-12-2-2222-1-12-100-1-2i3i3−i3−i3-1-1-1-2-1-12211-1-1-1-1-2000i3i3−i3−i3-21i3−i3001111i3i3−i3−i3-2-21111200-1-100−i3i3−i3i30000000000000
χ2322222-1-222-222-1-12-122-1-2-1-1-1-1-1-1-1211-2-2-1-111112-222-1-1-1-1-2111-2-2-1-111111100−i3−i3i3i3000−i3i300−i3i3i3−i30000000000000
χ2422222-1-222-222-1-12-122-1-2-1-1-1-1-1-1-1211-2-2-1-111112-222-1-1-1-1-2111-2-2-1-111111100i3i3−i3−i3000i3−i300i3−i3−i3i30000000000000
χ2522222-1-222-222-1-12-1-2-2-1-21111-1-1-1211-2-2-1-1111122-2-21111-21-1-122-1-111-1-1-1-100−i3−i3i3i3000−i3i300i3−i3−i3i30000000000000
χ2622222-1-222-222-1-12-1-2-2-1-21111-1-1-1211-2-2-1-1111122-2-21111-21-1-122-1-111-1-1-1-100i3i3−i3−i3000i3−i300−i3i3i3−i30000000000000
χ2722222-1-2-2-2-222-1-12-100-12−i3−i3i3i3-1-1-1-211-2-2111111-2000−i3−i3i3i32-1i3−i30011-1-1i3i3−i3−i300−i3−i3i3i302-2i3−i300-1-1110000000000000
χ2822222-1-2-2-2-222-1-12-100-12−i3−i3i3i3-1-1-1-211-2-2111111-2000−i3−i3i3i32-1i3−i30011-1-1i3i3−i3−i300i3i3−i3−i30-22−i3i30011-1-10000000000000
χ2922222-1-2-2-2-222-1-12-100-12i3i3−i3−i3-1-1-1-211-2-2111111-2000i3i3−i3−i32-1−i3i30011-1-1−i3−i3i3i300−i3−i3i3i30-22i3−i30011-1-10000000000000
χ3022222-1-2-2-2-222-1-12-100-12i3i3−i3−i3-1-1-1-211-2-2111111-2000i3i3−i3−i32-1−i3i30011-1-1−i3−i3i3i300i3i3−i3−i302-2−i3i300-1-1110000000000000
χ312222-122222-1-122-1222-122222-1-1-1-122-1-122-1-1-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100000000000220000-1-1-1-100002-1-100
χ322222-122222-1-122-1222-122222-1-1-1-122-1-122-1-1-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100000000000-2-2000011110000-21100
χ332222-122222-1-122-12-2-2-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-2111111-12-2-211-1-1-1-1111100000000000220000-1-1-1-10000-21100
χ342222-122222-1-122-12-2-2-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-2111111-12-2-211-1-1-1-1111100000000000-2-20000111100002-1-100
χ352222-12-222-2-1-122-1222-1-22222-1-1-1-1-2-211221111-1-2-1-1-1-1-1-11-2-2-211-1-111111100000000000000000−i3−i3i3i300000−i3i300
χ362222-12-222-2-1-122-1222-1-22222-1-1-1-1-2-211221111-1-2-1-1-1-1-1-11-2-2-211-1-111111100000000000000000i3i3−i3−i300000i3−i300
χ372222-12-222-2-1-122-12-2-2-1-2-2-2-2-2-1-1-1-1-2-211221111-121111111-222-1-1-1-111-1-1-1-100000000000000000−i3−i3i3i300000i3−i300
χ382222-12-222-2-1-122-12-2-2-1-2-2-2-2-2-1-1-1-1-2-211221111-121111111-222-1-1-1-111-1-1-1-100000000000000000i3i3−i3−i300000−i3i300
χ392-22-222200-2-2-2-222-200200000-2-2202-22-20022-2-200000000000000000000002i−2i2i−2i2i−2i000002−200002−22−2−i2−i2i2i200000
χ402-22-222200-2-2-2-222-200200000-2-2202-22-20022-2-200000000000000000000002i−2i2i−2i2i−2i00000−220000−22−22i2i2−i2−i200000
χ412-22-222200-2-2-2-222-200200000-2-2202-22-20022-2-20000000000000000000000−2i2i−2i2i−2i2i000002−200002−22−2i2i2−i2−i200000
χ422-22-222200-2-2-2-222-200200000-2-2202-22-20022-2-20000000000000000000000−2i2i−2i2i−2i2i00000−220000−22−22−i2−i2i2i200000
χ432-2-222202-202-2-2-2-222-2202-22-22-2-2200002-20000-202-22-22-20000002-2000000000000000000000000000−i2i2−i2i2000−i2i2
χ442-2-222202-202-2-2-2-222-2202-22-22-2-2200002-20000-202-22-22-20000002-2000000000000000000000000000i2−i2i2−i2000i2−i2
χ452-2-222202-202-2-2-2-22-2220-22-222-2-2200002-20000-20-22-22-220000002-2000000000000000000000000000−i2i2−i2i2000i2−i2
χ462-2-222202-202-2-2-2-22-2220-22-222-2-2200002-20000-20-22-22-220000002-2000000000000000000000000000i2−i2i2−i2000−i2i2
χ474444-244-4-44-2-244-2400-2-40000-2-2-2244-2-2-4-4-2-2-2-2200000002-4000022220000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-2400-240000-2-2-22-4-422-4-4222220000000-24000022-2-20000000000000000000000000000000000
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
χ514444-2-24-4-44-2-2-2-2-2-2001-4−2i3−2i32i32i31112-2-2-2-22211112000i3i3−i3−i322−2i32i300-1-1-1-1i3i3−i3−i3000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2001-42i32i3−2i3−2i31112-2-2-2-22211112000−i3−i3i3i3222i3−2i300-1-1-1-1−i3−i3i3i3000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2441-4-2-2-2-2111-22222-2-2-1-1-1-1-2-4-2-2111122222211-1-1-1-1-1-1000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-2-4-41-42222111-22222-2-2-1-1-1-1-2422-1-1-1-122-2-2-2-211-1-11111000000000000000000000000000000
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
χ5744-4-4440000-444-4-4-400400000-44-40000000000000000000000000000000000000000000000000000002-2-2200000
χ5844-4-4440000-444-4-4-400400000-44-4000000000000000000000000000000000000000000000000000000-222-200000
χ594-44-444-4004-4-4-444-400400000-4-440-44-4400-4-4440000000000000000000000000000000000000000000000000000
χ604-44-44-2400-4-4-42-24200-20000022-20-224-400-2-22200000000000000000000004i−4i−2i2i−2i2i000000000000000000000000
χ614-44-44-2400-4-4-42-24200-20000022-20-224-400-2-2220000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000
χ624-44-44-2-4004-4-42-24200-20000022-202-2-440022-2-200000000000000000000000023−23−2323000000000000000000000000
χ634-44-44-2-4004-4-42-24200-20000022-202-2-440022-2-2000000000000000000000000−232323−23000000000000000000000000
χ644-44-4-24400-422-44-2-400-20000022-204-4-2200-2-22200000000000000000000000000000000022−220000−22−22000000000
χ654-44-4-24400-422-44-2-400-20000022-204-4-2200-2-222000000000000000000000000000000000−222200002−22−2000000000
χ664-44-4-24-400422-44-2-400-20000022-20-442-20022-2-2000000000000000000000000000000000000000i6−i6−i6i6000000000
χ674-44-4-24-400422-44-2-400-20000022-20-442-20022-2-2000000000000000000000000000000000000000−i6i6i6−i6000000000
χ684-4-44440-4404-4-4-4-44004000004-4-4-40000-44000040000000000000-44000000000000000000000000000000000000
χ694-4-444-204-404-422-4-24-4-20-22-22-22240000-220000-404-4-22-22000000-22000000000000000000000000000000000000
χ704-4-444-204-404-422-4-2-44-202-22-2-22240000-220000-40-442-22-2000000-22000000000000000000000000000000000000
χ714-4-444-20-4404-422-4-200-20−2i32i32i3−2i3-222-400002-200004000−2i32i32i3−2i30000002-2000000000000000000000000000000000000
χ724-4-444-20-4404-422-4-200-202i3−2i3−2i32i3-222-400002-2000040002i3−2i3−2i32i30000002-2000000000000000000000000000000000000
χ734-4-44-2404-40-22-4-4244-4-204-44-4-222-200004-4000020-22-22-22000000-22000000000000000000000000000000000000
χ744-4-44-2404-40-22-4-424-44-20-44-44-222-200004-40000202-22-22-2000000-22000000000000000000000000000000000000
χ754-4-44-240-440-22-4-42400-200000-22220000-440000-20000000000023−232-20023−2323−23000000000000000000000000000000
χ764-4-44-240-440-22-4-42400-200000-22220000-440000-200000000000−23232-200−2323−2323000000000000000000000000000000
χ774-4-44-2-204-40-22222-24-410-22-221-1-1-20000-223i−3i3i−3i20-221-11-10000001-13i−3i3i−3i−3i3i000000000000000000000000000000
χ784-4-44-2-204-40-22222-24-410-22-221-1-1-20000-22−3i3i−3i3i20-221-11-10000001-1−3i3i−3i3i3i−3i000000000000000000000000000000
χ794-4-44-2-204-40-22222-2-44102-22-21-1-1-20000-223i−3i3i−3i202-2-11-110000001-13i−3i−3i3i3i−3i000000000000000000000000000000
χ804-4-44-2-204-40-22222-2-44102-22-21-1-1-20000-22−3i3i−3i3i202-2-11-110000001-1−3i3i3i−3i−3i3i000000000000000000000000000000
χ814-4-44-2-20-440-22222-20010−2i32i32i3−2i31-1-1200002-23i−3i3i−3i-2000i3−i3−i3i30000−2323-11−3i3i3−33−3000000000000000000000000000000
χ824-4-44-2-20-440-22222-20010−2i32i32i3−2i31-1-1200002-2−3i3i−3i3i-2000i3−i3−i3i3000023−23-113i−3i−33−33000000000000000000000000000000
χ834-4-44-2-20-440-22222-200102i3−2i3−2i32i31-1-1200002-23i−3i3i−3i-2000−i3i3i3−i3000023−23-11−3i3i−33−33000000000000000000000000000000
χ844-4-44-2-20-440-22222-200102i3−2i3−2i32i31-1-1200002-2−3i3i−3i3i-2000−i3i3i3−i30000−2323-113i−3i3−33−3000000000000000000000000000000
χ8588-8-88-40000-88-44-8400-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4800004-48-84-800-4000004-44000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400004-4-444400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000
χ8888-8-8-4-400004-4-444400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000
χ898-88-8-4-4800-8444-4-4400200000-2-220-44-440022-2-20000000000000000000000000000000000000000000000000000
χ908-88-8-4-4-8008444-4-4400200000-2-2204-44-400-2-2220000000000000000000000000000000000000000000000000000

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