Finite Group Databasebeta

← Group #11884410

Character table — Group #11884410

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666663444466612121212121212121212121212121212444121212121212121212121212121212121212121222488121212122224666666824242424228861248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-111111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111-1-111-1-1-11
χ61111111111111111-1-111111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1
χ71111111111111111-1-111111111111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111-1-1-1-11-1
χ81111111111111111-1-111111111111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11111-11
χ9111111111111111-111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-11-1-111-111-1-1-111-1-11111-11-1-1
χ10111111111111111-111-1111-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-1-111-1-11-11-11-111-1-11-1-111-1-1-1-11-111
χ11111111111111111-111-1111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-1-111-11-11-11-1-111-111-1-1-1-1-1-1-1111
χ12111111111111111-111-1111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111-1-1-1-111-111-1-11-1-1111-1-11111111-1-1-1
χ13111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111-1-11111-1-1-111-11-1-1-111-111-1-1-1-1111-11-1
χ14111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111111-1-1-1-111-1-1-11-111-1-1-1111-1-11111-1-1-11-11
χ15111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-1-1-1-1-11111-11111-1-1111-11-1-1111-1-1-111-1-111-1-11-1-11
χ16111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-1-1-1-1-11111-111-1-1-1-1111-1-11-1111-1-11-1-111-1-111-111-1
χ17222222-2-22222222200-22222222-2-2-200002222-2220-2-2000000-2-2-2-200000000-2-220022220000-2-200000000000000000
χ18222222-2-22222222200-22222222-2-2-200002222-2-2-20-2-2000000-2-2-2-20000000022-200-2-2-2-200002200000000000000000
χ19222222-2-22222222-2002222-2-2-2-2-2-2-20000-2-2-2-2-222022000000-2-22200000000-22-20022-2-20000-2200000000000000000
χ20222222-2-22222222-2002222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2022000000-2-222000000002-2200-2-22200002-200000000000000000
χ2122222-1222-12-12-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-122222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-12200-1-1-1-1-1-10000000000000
χ2222222-1222-12-12-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-222-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2001111110000000000000
χ2322222-1222-12-12-1-12-2-22-1-1-122-1-12-1-11111-1-1-1-1222-22-1-2-211-2-2-1-1-1-11111111122200-1-1-1-1-2-200-1-111110000000000000
χ2422222-1222-12-12-1-12-2-22-1-1-122-1-12-1-11111-1-1-1-12-2-2-22-1-2-211-2-2-1-1-1-111111111-2-2-2001111220011-1-1-1-10000000000000
χ2522222-1222-12-12-1-1-222-2-1-1-1-2-2112-1-1-1-1-1-11111222-2-21-2-21122-1-111-1-1-1-111112-2-200-1-1112-200-11-1-1110000000000000
χ2622222-1222-12-12-1-1-222-2-1-1-1-2-2112-1-1-1-1-1-111112-2-2-2-21-2-21122-1-111-1-1-1-11111-2220011-1-1-22001-111-1-10000000000000
χ2722222-1222-12-12-1-1-2-2-2-2-1-1-1-2-2112-1-1111111112222-2122-1-1-2-2-1-1111111-1-1-1-12-2-200-1-111-2200-1111-1-10000000000000
χ2822222-1222-12-12-1-1-2-2-2-2-1-1-1-2-2112-1-1111111112-2-22-2122-1-1-2-2-1-1111111-1-1-1-1-2220011-1-12-2001-1-1-1110000000000000
χ2922222-1-2-22-12-12-1-1200-2-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2220-2100−i3i3001111−i3−i3i3i3−i3−i3i3i3-2-2200-1-1-1-1000011−i3i3−i3i30000000000000
χ3022222-1-2-22-12-12-1-1200-2-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2-2-20-2100−i3i3001111−i3−i3i3i3−i3−i3i3i322-20011110000-1-1i3−i3i3−i30000000000000
χ3122222-1-2-22-12-12-1-1200-2-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2220-2100i3−i3001111i3i3−i3−i3i3i3−i3−i3-2-2200-1-1-1-1000011i3−i3i3−i30000000000000
χ3222222-1-2-22-12-12-1-1200-2-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2-2-20-2100i3−i3001111i3i3−i3−i3i3i3−i3−i322-20011110000-1-1−i3i3−i3i30000000000000
χ3322222-1-2-22-12-12-1-1-2002-1-1-1-2-211-211−i3−i3i3i31111-22202-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3-22-200-1-11100001-1−i3i3i3−i30000000000000
χ3422222-1-2-22-12-12-1-1-2002-1-1-1-2-211-211−i3−i3i3i31111-2-2-202-100i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32-220011-1-10000-11i3−i3−i3i30000000000000
χ3522222-1-2-22-12-12-1-1-2002-1-1-1-2-211-211i3i3−i3−i31111-22202-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3-22-200-1-11100001-1i3−i3−i3i30000000000000
χ3622222-1-2-22-12-12-1-1-2002-1-1-1-2-211-211i3i3−i3−i31111-2-2-202-100−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32-220011-1-10000-11−i3i3i3−i30000000000000
χ372222-1222-12-12-12-12222-1-1-1-1-122-1222222-1-1-1-1-1002-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100022000000220000002-1-1-1-10000-1-100
χ382222-1222-12-12-12-12222-1-1-1-1-122-1222222-1-1-1-1-1002-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-2000000-2-2000000-2111100001100
χ392222-1222-12-12-12-12-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-100-2-1211-2-211-1-1-1-11111111100022000000-2-20000002-1-1-1-100001100
χ402222-1222-12-12-12-12-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-100-2-1211-2-211-1-1-1-111111111000-2-200000022000000-211110000-1-100
χ412222-1222-12-12-12-1-222-2-1-1-111-2-2-12222221111-100-21-211-2-2-1-1-1-111-1-1-1-1111100022000000-22000000-2-1-11100001-100
χ422222-1222-12-12-12-1-222-2-1-1-111-2-2-12222221111-100-21-211-2-2-1-1-1-111-1-1-1-11111000-2-20000002-2000000211-1-10000-1100
χ432222-1222-12-12-12-1-2-2-2-2-1-1-111-2-2-122-2-2-2-21111-10021-2-1-12211-1-1111111-1-1-1-1000220000002-2000000-2-1-1110000-1100
χ442222-1222-12-12-12-1-2-2-2-2-1-1-111-2-2-122-2-2-2-21111-10021-2-1-12211-1-1111111-1-1-1-1000-2-2000000-22000000211-1-100001-100
χ452-22-222-22-2-2-2-222202-20-22-20000-22-22-22-2000020000000002-22-2002-22-200000000000000000000000000002-22-20000
χ462-22-222-22-2-2-2-222202-20-22-20000-22-22-22-2000020000000002-22-2002-22-20000000000000000000000000000-22-220000
χ472-22-222-22-2-2-2-22220-220-22-20000-22-2-22-2200002000000000-222-200-22-2200000000000000000000000000002-2-220000
χ482-22-222-22-2-2-2-22220-220-22-20000-22-2-22-2200002000000000-222-200-22-220000000000000000000000000000-222-20000
χ494444-24-4-4-24-24-24-2400-4-2-2-2-2-2442-4-40000-2-2-2-220002-400000022220000000000000000000000000000000000000000
χ504444-24-4-4-24-24-24-2-4004-2-2-222-4-42-4-4000022222000-2400000022-2-20000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-214444111-2-2-2-2-2-2-2-2-2-2-21111-2004-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-214-4-44111-2-2-2-2-2-2-222221111-200-4-2-22222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-444-41112222-2-2-2-2-2-2-2-1-1-1-1-200-4222222-2-211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-2-22222-1-1-1-1-200422-2-2-2-22211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21400-4111-2-2-2-2222−2i3−2i32i32i3111120002200−2i32i300-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21400-4111-2-2-2-22222i32i3−2i3−2i31111200022002i3−2i300-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-40041112222222−2i3−2i32i32i3-1-1-1-12000-2-2002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-400411122222222i32i3−2i3−2i3-1-1-1-12000-2-200−2i32i300-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-4440044-4-4-4-4400004-4-400000000000000004i−4i000000000000000000000000004i−4i0000000000000000000000000
χ6044-4-4440044-4-4-4-4400004-4-40000000000000000−4i4i00000000000000000000000000−4i4i0000000000000000000000000
χ6144-4-44-2004-2-42-42-20000-22200−2i32i30000000−2i3−2i32i32i304i−4i00000000000000000000000000−2i2i23−2300000000000000000000000
χ6244-4-44-2004-2-42-42-20000-22200−2i32i30000000−2i3−2i32i32i30−4i4i000000000000000000000000002i−2i−232300000000000000000000000
χ6344-4-44-2004-2-42-42-20000-222002i3−2i300000002i32i3−2i3−2i304i−4i00000000000000000000000000−2i2i−232300000000000000000000000
χ6444-4-44-2004-2-42-42-20000-222002i3−2i300000002i32i3−2i3−2i30−4i4i000000000000000000000000002i−2i23−2300000000000000000000000
χ654-44-4444-4-4-4-4-44440000-44-400004-4400000000-400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-4-42-424-2-200002-22000042-2−2i32i32i3−2i30000-4000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000
χ674-44-44-24-4-42-424-2-200002-22000042-22i3−2i3−2i32i30000-4000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000
χ684-44-44-2-44-42-424-2-204-402-220000-4-22-22-22000040000000004-4-2200-22-22000000000000000000000000000000000000
χ694-44-44-2-44-42-424-2-20-4402-220000-4-222-22-200004000000000-44-22002-22-2000000000000000000000000000000000000
χ704-44-4-244-42-42-4-24-200002-220000-2-440000000020000023−2300002-200000023−2323−2300000000000000000000000000000000
χ714-44-4-244-42-42-4-24-200002-220000-2-4400000000200000−232300002-2000000−2323−232300000000000000000000000000000000
χ724-44-4-24-442-42-4-24-204-402-22000024-44-44-40000-2000000000-22-2200-22-22000000000000000000000000000000000000
χ734-44-4-24-442-42-4-24-20-4402-22000024-4-44-440000-20000000002-2-22002-22-2000000000000000000000000000000000000
χ744-44-4-2-24-42222-2-210000-11-10000-22-2−2i32i32i3−2i33i−3i3i−3i20000023−230000-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000
χ754-44-4-2-24-42222-2-210000-11-10000-22-2−2i32i32i3−2i3−3i3i−3i3i200000−23230000-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000
χ764-44-4-2-24-42222-2-210000-11-10000-22-22i3−2i3−2i32i33i−3i3i−3i200000−23230000-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000
χ774-44-4-2-24-42222-2-210000-11-10000-22-22i3−2i3−2i32i3−3i3i−3i3i20000023−230000-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000
χ784-44-4-2-2-442222-2-2104-40-11-100002-22-22-223i−3i3i−3i-2000000000-221-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000
χ794-44-4-2-2-442222-2-2104-40-11-100002-22-22-22−3i3i−3i3i-2000000000-221-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000
χ804-44-4-2-2-442222-2-210-440-11-100002-222-22-23i−3i3i−3i-20000000002-21-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000
χ814-44-4-2-2-442222-2-210-440-11-100002-222-22-2−3i3i−3i3i-20000000002-21-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000
χ824-4-444400-4-444-4-440000-4-4400000000000000000000000000000000000000000022−2200000000000000022−220000000000
χ834-4-444400-4-444-4-440000-4-44000000000000000000000000000000000000000000−2222000000000000000−22220000000000
χ844-4-44-24002-4-242-4-2000022-223−2300000000023−23−232300000000000000000000000000022−22000000000000000−226−600000000
χ854-4-44-24002-4-242-4-2000022-223−2300000000023−23−2323000000000000000000000000000−22220000000000000002−2−6600000000
χ864-4-44-24002-4-242-4-2000022-2−2323000000000−232323−2300000000000000000000000000022−22000000000000000−22−6600000000
χ874-4-44-24002-4-242-4-2000022-2−2323000000000−232323−23000000000000000000000000000−22220000000000000002−26−600000000
χ8888-8-8-4800-484-84-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444200002-2-200−4i34i300000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444200002-2-2004i3−4i30000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ918-8-888-400-848-4-84-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-4-44420000-2-2243−43000000000−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40044-4-44420000-2-22−434300000000023−23−232300000000000000000000000000000000000000000000000000000000

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