Finite Group Databasebeta

← Group #11889437

Character table — Group #11889437

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666634444666121212121212121212121212121212122241212121212121212121212121212121212121212244668812124444681212121212242424244488121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111-1-1-1-111-11-1-1-1-1-11111-1-1-1-111-1-1
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
χ511111111111111111-1-1111-1-1-1-11111111-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-11-11-1-1-1-1-111111-1-111111-1-1-1
χ611111111111111111-1-1111-1-1-1-11111111-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1-1-11-1-11-11-1-1111-1-111-1-1-1-1-1111
χ711111111111111111-1-1111-1-1-1-11111111-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-11111-111-11-111-1-1-111-1-1-1-1-1-11-111
χ811111111111111111-1-1111-1-1-1-11111111-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-111-11-111111-1-1-1-1-1111111-11-1-1
χ9111111111111111-1-111111111111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-111-1-11-1-11111-1-111-1-1-11
χ10111111111111111-1-111111111111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-1111-1-1-11-1-1-1-1-1-111-1-1111-1
χ11111111111111111-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1111-111111111-1-1-1-11-1
χ12111111111111111-1-111111111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-11111-11
χ13111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-11111-1-1-11-11-1-1111-1-111-1-1-1-111-111-1
χ14111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-111-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ15111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-111111-1-111-1-1-1-11111-1-111-1-1-11-11
χ16111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-1-1111-11-111-1-1-111-1-111-1-1111-11-1
χ17222222-2-22222222002-2222-2-2-2-2-2-20000-2-2-2-2-2-222000220000-2-200002200002-2-22200-2-200002000-200000000000000
χ18222222-2-22222222002-2222-2-2-2-2-2-20000-2-2-2-2-2-2-2-2000220000-2-20000220000-222-2-200220000-2000200000000000000
χ19222222-2-2222222200-222222222-2-20000-22222-222000-2-20000-2-20000-2-20000-2-222200220000-2000-200000000000000
χ20222222-2-2222222200-222222222-2-20000-22222-2-2-2000-2-20000-2-20000-2-2000022-2-2-200-2-200002000200000000000000
χ2122222-12222-1-1-12-12222-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222-1-100-1-12200-10-1-1-1-1-1000000000000
χ2222222-12222-1-1-12-12222-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-2-22222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2110011-2-2001011111000000000000
χ2322222-12222-1-1-12-122-2-2-1-1-1-2-211-1-1-1-1-1-121111222-222-2111-2-2-1-1-1-1-1-1111111-22-2-1-100112-2001011-1-1-1000000000000
χ2422222-12222-1-1-12-122-2-2-1-1-1-2-211-1-1-1-1-1-1211112-2-2-222-2111-2-2-1-1-1-1-1-11111112-221100-1-1-2200-10-1-1111000000000000
χ2522222-12222-1-1-12-1-2-222-1-1-122-1-1-1-111112-1-1-1-1222-2-2-22-111-2-2-1-11111-1-11111222-1-100-1-1-2-200-1011-111000000000000
χ2622222-12222-1-1-12-1-2-222-1-1-122-1-1-1-111112-1-1-1-12-2-2-2-2-22-111-2-2-1-11111-1-11111-2-2-2110011220010-1-11-1-1000000000000
χ2722222-12222-1-1-12-1-2-2-2-2-1-1-1-2-211-1-11111211112222-2-2-21-1-122-1-1111111-1-1-1-1-22-2-1-10011-220010-1-1-111000000000000
χ2822222-12222-1-1-12-1-2-2-2-2-1-1-1-2-211-1-11111211112-2-22-2-2-21-1-122-1-1111111-1-1-1-12-221100-1-12-200-10111-1-1000000000000
χ2922222-1-2-222-1-1-12-1002-2-1-1-1-2-21111−i3−i3i3i3-21111-2220002-1−i3i30011−i3−i3i3i3-1-1−i3−i3i3i32-2-2-1-100110000-10−i3i31−i3i3000000000000
χ3022222-1-2-222-1-1-12-1002-2-1-1-1-2-21111−i3−i3i3i3-21111-2-2-20002-1−i3i30011−i3−i3i3i3-1-1−i3−i3i3i3-2221100-1-1000010i3−i3-1i3−i3000000000000
χ3122222-1-2-222-1-1-12-1002-2-1-1-1-2-21111i3i3−i3−i3-21111-2220002-1i3−i30011i3i3−i3−i3-1-1i3i3−i3−i32-2-2-1-100110000-10i3−i31i3−i3000000000000
χ3222222-1-2-222-1-1-12-1002-2-1-1-1-2-21111i3i3−i3−i3-21111-2-2-20002-1i3−i30011i3i3−i3−i3-1-1i3i3−i3−i3-2221100-1-1000010−i3i3-1−i3i3000000000000
χ3322222-1-2-222-1-1-12-100-22-1-1-122-1-111−i3−i3i3i3-2-1-1-1-1-222000-21i3−i30011−i3−i3i3i311i3i3−i3−i3-2-22-1-100-1-1000010i3−i31−i3i3000000000000
χ3422222-1-2-222-1-1-12-100-22-1-1-122-1-111−i3−i3i3i3-2-1-1-1-1-2-2-2000-21i3−i30011−i3−i3i3i311i3i3−i3−i322-21100110000-10−i3i3-1i3−i3000000000000
χ3522222-1-2-222-1-1-12-100-22-1-1-122-1-111i3i3−i3−i3-2-1-1-1-1-222000-21−i3i30011i3i3−i3−i311−i3−i3i3i3-2-22-1-100-1-1000010−i3i31i3−i3000000000000
χ3622222-1-2-222-1-1-12-100-22-1-1-122-1-111i3i3−i3−i3-2-1-1-1-1-2-2-2000-21−i3i30011i3i3−i3−i311−i3−i3i3i322-21100110000-10i3−i3-1−i3i3000000000000
χ372222-1222-1-1222-1-12222-1-1-1-1-122222222-1-1-1-1-1-1002-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000220000220200000-1-1-1-10000-1-100
χ382222-1222-1-1222-1-12222-1-1-1-1-122222222-1-1-1-1-1-1002-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-20000-2-20-200000111100001100
χ392222-1222-1-1222-1-122-2-2-1-1-111-2-2222222-11111-100-2-1-11-2-2-211-1-1-1-1-1-1111111000002200002-20-200000-1-1110000-1100
χ402222-1222-1-1222-1-122-2-2-1-1-111-2-2222222-11111-100-2-1-11-2-2-211-1-1-1-1-1-111111100000-2-20000-22020000011-1-100001-100
χ412222-1222-1-1222-1-1-2-222-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-211-12-2-211-1-11111-1-1111100000220000-2-20200000-1-1-1-100001100
χ422222-1222-1-1222-1-1-2-222-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-100-211-12-2-211-1-11111-1-1111100000-2-20000220-20000011110000-1-100
χ432222-1222-1-1222-1-1-2-2-2-2-1-1-111-2-222-2-2-2-2-11111-1002111-222-1-1-1-1111111-1-1-1-100000220000-220-200000-1-11100001-100
χ442222-1222-1-1222-1-1-2-2-2-2-1-1-111-2-222-2-2-2-2-11111-1002111-222-1-1-1-1111111-1-1-1-100000-2-200002-2020000011-1-10000-1100
χ452-2-22222-2-2-2-22-2222i−2i00-22-200002-22i−2i2i−2i20000-20002i−2i0000002-22i−2i2i−2i0000000000000000000000000000002-22i−2i0000
χ462-2-22222-2-2-2-22-2222i−2i00-22-200002-22i−2i2i−2i20000-20002i−2i0000002-22i−2i2i−2i000000000000000000000000000000-22−2i2i0000
χ472-2-22222-2-2-2-22-222−2i2i00-22-200002-2−2i2i−2i2i20000-2000−2i2i0000002-2−2i2i−2i2i0000000000000000000000000000002-2−2i2i0000
χ482-2-22222-2-2-2-22-222−2i2i00-22-200002-2−2i2i−2i2i20000-2000−2i2i0000002-2−2i2i−2i2i000000000000000000000000000000-222i−2i0000
χ494444-24-4-4-2-2444-2-2004-4-2-2-222-4-4-4-4000022222200000-240000220000-2-2000000000000000000000000000000000000
χ504444-24-4-4-2-2444-2-200-44-2-2-2-2-244-4-400002-2-2-2-22000002-4000022000022000000000000000000000000000000000000
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
χ524444-2-244-2-2-2-2-2-2144-4-41112222-2-2-2-2-2-2-2-1-1-1-1-200-4-2-2222222111111-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-21-4-444111-2-2-2-2-2-22222-21111-200-422-2-2222211-1-1-1-111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-21-4-4-4-41112222-2-22222-2-1-1-1-1-20042222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21004-4111222222−2i3−2i32i32i32-1-1-1-1200000-2-2−2i32i300-1-1i3i3−i3−i311i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21004-41112222222i32i3−2i3−2i32-1-1-1-1200000-2-22i3−2i300-1-1−i3−i3i3i311−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2100-44111-2-2-2-222−2i3−2i32i32i321111200000222i3−2i300-1-1i3i3−i3−i3-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2100-44111-2-2-2-2222i32i3−2i3−2i32111120000022−2i32i300-1-1−i3−i3i3i3-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-44-4-44-440000-4-4400000000000000004-40000000000000000000000004-4000000000000000000000000000
χ6044-4-44400-44-4-44-440000-4-440000000000000000-44000000000000000000000000-44000000000000000000000000000
χ6144-4-44-200-4422-2-4-2000022-20023−2300000002323−23−2304-4000000000000000000000000-220023−2300000000000000000000000
χ6244-4-44-200-4422-2-4-2000022-20023−2300000002323−23−230-440000000000000000000000002-200−232300000000000000000000000
χ6344-4-44-200-4422-2-4-2000022-200−23230000000−23−23232304-4000000000000000000000000-2200−232300000000000000000000000
χ6444-4-44-200-4422-2-4-2000022-200−23230000000−23−2323230-440000000000000000000000002-20023−2300000000000000000000000
χ654-44-444004-44-4-4-4400004-4-40000000000000000000000000000000000000000000022−22000000000000022−220000000000
χ664-44-444004-44-4-4-4400004-4-400000000000000000000000000000000000000000000−22220000000000000−22220000000000
χ674-44-4-2400-224-4-42-20000-222−2i32i3000000000−2i32i3−2i32i30000000000000000000000000000022−220000000000000−22i6−i600000000
χ684-44-4-2400-224-4-42-20000-222−2i32i3000000000−2i32i3−2i32i300000000000000000000000000000−222200000000000002−2−i6i600000000
χ694-44-4-2400-224-4-42-20000-2222i3−2i30000000002i3−2i32i3−2i30000000000000000000000000000022−220000000000000−22−i6i600000000
χ704-44-4-2400-224-4-42-20000-2222i3−2i30000000002i3−2i32i3−2i300000000000000000000000000000−222200000000000002−2i6−i600000000
χ714-4-4444-44-4-4-44-4440000-44-40000-440000-40000400000000000-44000000000000000000000000000000000000000000
χ724-4-444-24-4-4-42-224-24i−4i002-220000-22−2i2i−2i2i40000-40004i−4i000000-22−2i2i−2i2i00000000000000000000000000000000000000
χ734-4-444-24-4-4-42-224-2−4i4i002-220000-222i−2i2i−2i40000-4000−4i4i000000-222i−2i2i−2i00000000000000000000000000000000000000
χ744-4-444-2-44-4-42-224-200002-2200002-223−23−2323-400004000000000002-223−23−232300000000000000000000000000000000000000
χ754-4-444-2-44-4-42-224-200002-2200002-2−232323−23-400004000000000002-2−232323−2300000000000000000000000000000000000000
χ764-4-44-244-422-44-4-2-24i−4i002-2200004-44i−4i4i−4i-200002000−2i2i000000-22−2i2i−2i2i00000000000000000000000000000000000000
χ774-4-44-244-422-44-4-2-2−4i4i002-2200004-4−4i4i−4i4i-2000020002i−2i000000-222i−2i2i−2i00000000000000000000000000000000000000
χ784-4-44-24-4422-44-4-2-200002-220000-44000020000-2000000000−2i32i32-2000000−2i32i3−2i32i300000000000000000000000000000000
χ794-4-44-24-4422-44-4-2-200002-220000-44000020000-20000000002i3−2i32-20000002i3−2i32i3−2i300000000000000000000000000000000
χ804-4-44-2-24-4222-22-214i−4i00-11-10000-22−2i2i−2i2i-23i−3i−3i3i2000−2i2i0000001-1i−ii−i3i−3i3-3-3300000000000000000000000000000000
χ814-4-44-2-24-4222-22-214i−4i00-11-10000-22−2i2i−2i2i-2−3i3i3i−3i2000−2i2i0000001-1i−ii−i−3i3i-333-300000000000000000000000000000000
χ824-4-44-2-24-4222-22-21−4i4i00-11-10000-222i−2i2i−2i-23i−3i−3i3i20002i−2i0000001-1−ii−ii3i−3i-333-300000000000000000000000000000000
χ834-4-44-2-24-4222-22-21−4i4i00-11-10000-222i−2i2i−2i-2−3i3i3i−3i20002i−2i0000001-1−ii−ii−3i3i3-3-3300000000000000000000000000000000
χ844-4-44-2-2-44222-22-210000-11-100002-223−23−232323i−3i−3i3i-2000000000−2i32i3-11−333−3−3i3ii3−i3i3−i300000000000000000000000000000000
χ854-4-44-2-2-44222-22-210000-11-100002-223−23−23232−3i3i3i−3i-20000000002i3−2i3-11−333−33i−3i−i3i3−i3i300000000000000000000000000000000
χ864-4-44-2-2-44222-22-210000-11-100002-2−232323−2323i−3i−3i3i-20000000002i3−2i3-113−3−33−3i3i−i3i3−i3i300000000000000000000000000000000
χ874-4-44-2-2-44222-22-210000-11-100002-2−232323−232−3i3i3i−3i-2000000000−2i32i3-113−3−333i−3ii3−i3i3−i300000000000000000000000000000000
χ8888-8-8-48004-4-8-884-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-444-4420000-2-220043−430000000−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4004-444-4420000-2-2200−434300000002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-88-88-4008-8-444-8-40000-44400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-400-44-4444200002-2-2−4i34i30000000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-44-4444200002-2-24i3−4i3000000000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000

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