Finite Group Databasebeta

← Group #11883945

Character table — Group #11883945

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order122233446666663444466612121212121212121212121212121212224121212121212121212121212121212121212121224466881212222466681212122424242422886648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-11-1-1-11111-1-1-1-111-1-1
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
χ51111111111111111-1-111111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-111-1-11111-1-111-1-1-11
χ61111111111111111-1-111111111111-1-1-1-11111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-111-11-1-1-11-1-1-1-1-1-111-1-1111-1
χ71111111111111111-1-111111111111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1111-111111111-1-1-1-11-1
χ81111111111111111-1-111111111111-1-1-1-111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-1-11111-11
χ9111111111111111-111-1111-1-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-11111-1-1-11-11-1-1-1-111111-1-111111-1-1-1
χ10111111111111111-111-1111-1-1-1-11111111-1-1-1-1111-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-111-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1111
χ11111111111111111-111-1111-1-1-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-1-1111111-1-1111-1-1-1-111-1-1-1-1-1-11-111
χ12111111111111111-111-1111-1-1-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-1-1-1-1111-11-11111-1-1-1-1-1111111-11-1-1
χ13111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-11111-1-11-11-1-111-11-1-111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-111-1-1-1-111-1-1-11111-1-1-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-11111-1-1111-1-1-1-11111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-1-111-11-111-1-11-111-1-111-1-1111-11-1
χ17222222-2-22222222200-22222222-2-2-200002222-2220-2-2000000-2-2-2-200000000-2-222200220000-2000-200000000000000
χ18222222-2-22222222200-22222222-2-2-200002222-2-2-20-2-2000000-2-2-2-20000000022-2-2-200-2-200002000200000000000000
χ19222222-2-22222222-2002222-2-2-2-2-2-2-20000-2-2-2-2-222022000000-2-222000000002-2-22200-2-200002000-200000000000000
χ20222222-2-22222222-2002222-2-2-2-2-2-2-20000-2-2-2-2-2-2-2022000000-2-22200000000-222-2-200220000-2000200000000000000
χ2122222-1222-122-1-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-122222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100-1-12002-1-1-10-1-1-1000000000000
χ2222222-1222-122-1-1-12222-1-1-122-1-12-1-1-1-1-1-1-1-1-1-12-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2110011-200-21110111000000000000
χ2322222-1222-122-1-1-12-2-22-1-1-122-1-12-1-11111-1-1-1-1222-22-1-2-2-2-211-1-1-1-111111111222-1-100-1-1-200-2-1110-111000000000000
χ2422222-1222-122-1-1-12-2-22-1-1-122-1-12-1-11111-1-1-1-12-2-2-22-1-2-2-2-211-1-1-1-111111111-2-2-211001120021-1-101-1-1000000000000
χ2522222-1222-122-1-1-1-222-2-1-1-1-2-2112-1-1-1-1-1-11111222-2-2122-2-211-1-111-1-1-1-11111-22-2-1-10011-20021110-1-1-1000000000000
χ2622222-1222-122-1-1-1-222-2-1-1-1-2-2112-1-1-1-1-1-111112-2-2-2-2122-2-211-1-111-1-1-1-111112-221100-1-1200-2-1-1-10111000000000000
χ2722222-1222-122-1-1-1-2-2-2-2-1-1-1-2-2112-1-1111111112222-21-2-222-1-1-1-1111111-1-1-1-1-22-2-1-10011200-21-1-10-111000000000000
χ2822222-1222-122-1-1-1-2-2-2-2-1-1-1-2-2112-1-1111111112-2-22-21-2-222-1-1-1-1111111-1-1-1-12-221100-1-1-2002-11101-1-1000000000000
χ2922222-1-2-22-122-1-1-1200-2-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2220-210000−i3i31111−i3−i3i3i3−i3−i3i3i3-2-22-1-100-1-100001−i3i301−i3i3000000000000
χ3022222-1-2-22-122-1-1-1200-2-1-1-122-1-1-211−i3−i3i3i3-1-1-1-1-2-2-20-210000−i3i31111−i3−i3i3i3−i3−i3i3i322-21100110000-1i3−i30-1i3−i3000000000000
χ3122222-1-2-22-122-1-1-1200-2-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2220-210000i3−i31111i3i3−i3−i3i3i3−i3−i3-2-22-1-100-1-100001i3−i301i3−i3000000000000
χ3222222-1-2-22-122-1-1-1200-2-1-1-122-1-1-211i3i3−i3−i3-1-1-1-1-2-2-20-210000i3−i31111i3i3−i3−i3i3i3−i3−i322-21100110000-1−i3i30-1−i3i3000000000000
χ3322222-1-2-22-122-1-1-1-2002-1-1-1-2-211-211−i3−i3i3i31111-22202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-2-1-100110000-1i3−i301−i3i3000000000000
χ3422222-1-2-22-122-1-1-1-2002-1-1-1-2-211-211−i3−i3i3i31111-2-2-202-10000i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2221100-1-100001−i3i30-1i3−i3000000000000
χ3522222-1-2-22-122-1-1-1-2002-1-1-1-2-211-211i3i3−i3−i31111-22202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-2-1-100110000-1−i3i301i3−i3000000000000
χ3622222-1-2-22-122-1-1-1-2002-1-1-1-2-211-211i3i3−i3−i31111-2-2-202-10000−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2221100-1-100001i3−i30-1−i3i3000000000000
χ372222-1222-12-1-122-12222-1-1-1-1-122-1222222-1-1-1-1-1002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000220002200002000-1-1-1-10000-1-100
χ382222-1222-12-1-122-12222-1-1-1-1-122-1222222-1-1-1-1-1002-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000-2-2000-2-20000-2000111100001100
χ392222-1222-12-1-122-12-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-100-2-121111-2-2-1-1-1-1111111110000022000-2-200002000-1-1-1-100001100
χ402222-1222-12-1-122-12-2-22-1-1-1-1-122-122-2-2-2-2-1-1-1-1-100-2-121111-2-2-1-1-1-11111111100000-2-2000220000-200011110000-1-100
χ412222-1222-12-1-122-1-222-2-1-1-111-2-2-12222221111-100-21-2-1-111-2-2-1-111-1-1-1-1111100000220002-20000-2000-1-1110000-1100
χ422222-1222-12-1-122-1-222-2-1-1-111-2-2-12222221111-100-21-2-1-111-2-2-1-111-1-1-1-1111100000-2-2000-220000200011-1-100001-100
χ432222-1222-12-1-122-1-2-2-2-2-1-1-111-2-2-122-2-2-2-21111-10021-211-1-122-1-1111111-1-1-1-10000022000-220000-2000-1-11100001-100
χ442222-1222-12-1-122-1-2-2-2-2-1-1-111-2-2-122-2-2-2-21111-10021-211-1-122-1-1111111-1-1-1-100000-2-20002-20000200011-1-10000-1100
χ452-22-222-22-2-22-2-22202-20-22-20000-22-22-22-200002000002-200002-2002-22-200000000000000000000000000002-22-20000
χ462-22-222-22-2-22-2-22202-20-22-20000-22-22-22-200002000002-200002-2002-22-20000000000000000000000000000-22-220000
χ472-22-222-22-2-22-2-2220-220-22-20000-22-2-22-220000200000-2200002-200-22-2200000000000000000000000000002-2-220000
χ482-22-222-22-2-22-2-2220-220-22-20000-22-2-22-220000200000-2200002-200-22-220000000000000000000000000000-222-20000
χ494444-24-4-4-24-2-244-2400-4-2-2-2-2-2442-4-40000-2-2-2-220002-400000022220000000000000000000000000000000000000000
χ504444-24-4-4-24-2-244-2-4004-2-2-222-4-42-4-4000022222000-2400000022-2-20000000000000000000000000000000000000000
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
χ534444-2-244-2-2-2-2-2-21-444-41112222-2-2-2-2-2-2-2-1-1-1-1-200-422-2-2222211-1-11111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-2-22222-1-1-1-1-20042222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21400-4111-2-2-2-2222−2i3−2i32i32i311112000220000−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21400-4111-2-2-2-22222i32i3−2i3−2i3111120002200002i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-21-40041112222222−2i3−2i32i32i3-1-1-1-12000-2-200002i3−2i3-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-21-400411122222222i32i3−2i3−2i3-1-1-1-12000-2-20000−2i32i3-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ5944-4-4440044-4-4-4-4400004-4-400000000000000000000000000000000000000000000−2i22i20000000000000−2i22i20000000000
χ6044-4-4440044-4-4-4-4400004-4-4000000000000000000000000000000000000000000002i2−2i200000000000002i2−2i20000000000
χ6144-4-4-2400-2422-4-4-20000-222−2i32i3000000000−2i3−2i32i32i300000000000000000000000000000−2i22i20000000000000i2−i26−600000000
χ6244-4-4-2400-2422-4-4-20000-222−2i32i3000000000−2i3−2i32i32i3000000000000000000000000000002i2−2i20000000000000−i2i2−6600000000
χ6344-4-4-2400-2422-4-4-20000-2222i3−2i30000000002i32i3−2i3−2i300000000000000000000000000000−2i22i20000000000000i2−i2−6600000000
χ6444-4-4-2400-2422-4-4-20000-2222i3−2i30000000002i32i3−2i3−2i3000000000000000000000000000002i2−2i20000000000000−i2i26−600000000
χ654-44-4444-4-4-44-4-4440000-44-400004-4400000000-400000000000-44000000000000000000000000000000000000000000
χ664-44-44-24-4-424-42-2-200002-22000042-2−2i32i32i3−2i30000-4000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000
χ674-44-44-24-4-424-42-2-200002-22000042-22i3−2i3−2i32i30000-4000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000
χ684-44-44-2-44-424-42-2-204-402-220000-4-22-22-2200004000004-40000-2200-22-22000000000000000000000000000000000000
χ694-44-44-2-44-424-42-2-20-4402-220000-4-222-22-20000400000-440000-22002-22-2000000000000000000000000000000000000
χ704-44-4-244-42-4-22-44-200002-220000-2-44000000002000000023−23002-200000023−2323−2300000000000000000000000000000000
χ714-44-4-244-42-4-22-44-200002-220000-2-440000000020000000−2323002-2000000−2323−232300000000000000000000000000000000
χ724-44-4-24-442-4-22-44-204-402-22000024-44-44-40000-200000-220000-2200-22-22000000000000000000000000000000000000
χ734-44-4-24-442-4-22-44-20-4402-22000024-4-44-440000-2000002-20000-22002-22-2000000000000000000000000000000000000
χ744-44-4-2-24-422-222-210000-11-10000-22-2−2i32i32i3−2i33i−3i3i−3i2000000023−2300-113i−3ii3−i3−i3i3−33−3300000000000000000000000000000000
χ754-44-4-2-24-422-222-210000-11-10000-22-2−2i32i32i3−2i3−3i3i−3i3i20000000−232300-11−3i3ii3−i3−i3i33−33−300000000000000000000000000000000
χ764-44-4-2-24-422-222-210000-11-10000-22-22i3−2i3−2i32i33i−3i3i−3i20000000−232300-113i−3i−i3i3i3−i33−33−300000000000000000000000000000000
χ774-44-4-2-24-422-222-210000-11-10000-22-22i3−2i3−2i32i3−3i3i−3i3i2000000023−2300-11−3i3i−i3i3i3−i3−33−3300000000000000000000000000000000
χ784-44-4-2-2-4422-222-2104-40-11-100002-22-22-223i−3i3i−3i-200000-2200001-1−3i3i1-11-1−3i3i3i−3i00000000000000000000000000000000
χ794-44-4-2-2-4422-222-2104-40-11-100002-22-22-22−3i3i−3i3i-200000-2200001-13i−3i1-11-13i−3i−3i3i00000000000000000000000000000000
χ804-44-4-2-2-4422-222-210-440-11-100002-222-22-23i−3i3i−3i-2000002-200001-1−3i3i-11-113i−3i−3i3i00000000000000000000000000000000
χ814-44-4-2-2-4422-222-210-440-11-100002-222-22-2−3i3i−3i3i-2000002-200001-13i−3i-11-11−3i3i3i−3i00000000000000000000000000000000
χ824-4-444400-4-4-444-440000-4-4400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ834-4-444400-4-4-444-440000-4-440000000000000000-44000000000000000000000000-44000000000000000000000000000
χ844-4-444-200-42-44-22-2000022-20023−23000000023−23−232304-4000000000000000000000000-220023−2300000000000000000000000
χ854-4-444-200-42-44-22-2000022-20023−23000000023−23−23230-440000000000000000000000002-200−232300000000000000000000000
χ864-4-444-200-42-44-22-2000022-200−23230000000−232323−2304-4000000000000000000000000-2200−232300000000000000000000000
χ874-4-444-200-42-44-22-2000022-200−23230000000−232323−230-440000000000000000000000002-20023−2300000000000000000000000
χ8888-8-88-4008-4-8-844-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-44444200002-2-2−4i34i30000000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444200002-2-24i3−4i3000000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000000000
χ918-8-88-48004-84-48-8-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400444-4-4420000-2-220043−430000000−232323−2300000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400444-4-4420000-2-2200−4343000000023−23−232300000000000000000000000000000000000000000000000000000000

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