Finite Group Databasebeta

← Group #11889240

Character table — Group #11889240

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222444444444444444444444444668888888888888888888881212121212121212122424242424242424242424242424243636363648487272
order1222334466666622344666666612121212121212121212121244466666612121212121212121212121212122246688121224446668121212242424244488121248
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
χ511111111111111111-1-111111111-1-1-1-111-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-11111-11-111-1-1-111-111-1-111111-1-1-1
χ611111111111111111-1-111111111-1-1-1-111-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1111-1-1111-1-1-111-1-1-1-1-1111
χ711111111111111111-1-111111111-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1111-1-1-1-1-1-11-111
χ811111111111111111-1-111111111-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11-11-1-1111-1-11-1-1111111-11-1-1
χ911111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1111111111-1-1-1-11-1-11-1-111111-1-111-1-1-11
χ1011111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111-1-111-111-11-1-1-1-1-11-1-1-1-111-1-1111-1
χ1111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11-1-11-111111-1111111-1-1-1-11-1
χ1211111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1-11111-11
χ1311111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-111-1-111111-1-1-1-111111-11-1111-1-1-1-111-1-1-1-111-111-1
χ1411111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-111-1-111111-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-1-11-1-11
χ1511111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-11111-111-1-11111-1111111-1-1-1-111-1-1-1-111111-1-111-1-1-11-11
χ1611111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-11111-111-1-11111-11111-1-1-1-1-11-11-1-1-11111-1-111-1-1111-11-1
χ17222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2220000000200002-2-2220000-2-22-2-200220000-2000002000000000000
χ18222222-2-22222220022-20000222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000200002-2-222000022-22200-2-20000200000-2000000000000
χ19222222-2-2222222002-220000222-22222-2-22222-2220000000-20000-2-2-2-2-20000-22-22200220000-200000-2000000000000
χ20222222-2-2222222002-220000222-22222-2-22222-2-2-20000000-20000-2-2-2-2-200002-22-2-200-2-200002000002000000000000
χ2122222-1222-12-12-122-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1222222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1222-1-100-1-12002-1-1-10-1-1-1000000000000
χ2222222-1222-12-12-122-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12-2-2222-1-1-1-1-122-1-12-1-1-1-1-1-1-1-1-2-2-2110011-200-21110111000000000000
χ2322222-1222-12-12-122-1-2-2-1-1-1-1-1-1-12-2-211-1-11111222-222-1-1-1-11-2-211-2-1-11111112-2-21100-1-1-2002-1110-1-11000000000000
χ2422222-1222-12-12-122-1-2-2-1-1-1-1-1-1-12-2-211-1-111112-2-2-222-1-1-1-11-2-211-2-1-1111111-222-1-10011200-21-1-1011-1000000000000
χ2522222-1222-12-12-1-2-2-1221111-1-1-1222-1-1-1-1-1-1-1-1222-2-2-21111-1-2-2112-1-1-1-11111222-1-100-1-1-200-2-111011-1000000000000
χ2622222-1222-12-12-1-2-2-1221111-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-21111-1-2-2112-1-1-1-11111-2-2-211001120021-1-10-1-11000000000000
χ2722222-1222-12-12-1-2-2-1-2-21111-1-1-12-2-211-1-111112222-2-21111122-1-1-2-1-111-1-1-1-12-2-21100-1-1200-2-1-1-10111000000000000
χ2822222-1222-12-12-1-2-2-1-2-21111-1-1-12-2-211-1-111112-2-22-2-21111122-1-1-2-1-111-1-1-1-1-222-1-10011-20021110-1-1-1000000000000
χ2922222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-1-2-2-211111111-222000−i3−i3i3i3-100−i3i3211-1-1−i3−i3i3i3-2-221100-1-100001−i3i30−i3i3-1000000000000
χ3022222-1-2-22-12-12-100-12-2−i3−i3i3i3-1-1-1-2-2-211111111-2-2-2000−i3−i3i3i3-100−i3i3211-1-1−i3−i3i3i322-2-1-100110000-1i3−i30i3−i31000000000000
χ3122222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-1-2-2-211111111-222000i3i3−i3−i3-100i3−i3211-1-1i3i3−i3−i3-2-221100-1-100001i3−i30i3−i3-1000000000000
χ3222222-1-2-22-12-12-100-12-2i3i3−i3−i3-1-1-1-2-2-211111111-2-2-2000i3i3−i3−i3-100i3−i3211-1-1i3i3−i3−i322-2-1-100110000-1−i3i30−i3i31000000000000
χ3322222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-1-222-1-111-1-1-1-1-222000−i3−i3i3i3100i3−i3-21111i3i3−i3−i3-22-2-1-100-1-100001i3−i30−i3i31000000000000
χ3422222-1-2-22-12-12-100-1-22−i3−i3i3i3-1-1-1-222-1-111-1-1-1-1-2-2-2000−i3−i3i3i3100i3−i3-21111i3i3−i3−i32-221100110000-1−i3i30i3−i3-1000000000000
χ3522222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-1-222-1-111-1-1-1-1-222000i3i3−i3−i3100−i3i3-21111−i3−i3i3i3-22-2-1-100-1-100001−i3i30i3−i31000000000000
χ3622222-1-2-22-12-12-100-1-22i3i3−i3−i3-1-1-1-222-1-111-1-1-1-1-2-2-2000i3i3−i3−i3100−i3i3-21111−i3−i3i3i32-221100110000-1i3−i30−i3i3-1000000000000
χ372222-1222-12-12-1222-1222222-1-1-1-1-1-12222-1-1-1-1-1002-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-100000220002200002000-1-1-1-10000-1-100
χ382222-1222-12-12-1222-1222222-1-1-1-1-1-12222-1-1-1-1-1002-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-100000-2-2000-2-20000-2000111100001100
χ392222-1222-12-12-1222-1-2-22222-1-1-1-111-2-2221111-100-2-1-1-1-1-1-1-211-2-21-1-111111100000220002-20000-2000-1-1110000-1100
χ402222-1222-12-12-1222-1-2-22222-1-1-1-111-2-2221111-100-2-1-1-1-1-1-1-211-2-21-1-111111100000-2-2000-220000200011-1-100001-100
χ412222-1222-12-12-12-2-2-122-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-100-2111111211-2-2-1-1-1-1-111110000022000-2-200002000-1-1-1-100001100
χ422222-1222-12-12-12-2-2-122-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-100-2111111211-2-2-1-1-1-1-1111100000-2-2000220000-200011110000-1-100
χ432222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-1-111-2-2221111-1002111111-2-1-1221-1-111-1-1-1-10000022000-220000-2000-1-11100001-100
χ442222-1222-12-12-12-2-2-1-2-2-2-2-2-2-1-1-1-111-2-2221111-1002111111-2-1-1221-1-111-1-1-1-100000-2-20002-20000200011-1-10000-1100
χ452-2-22222-22-2-2-2-222-22002-22-22-2-2200002-20000-20002-22-22-20000002-20000000000000000000000000000002i−2i2i−2i0000
χ462-2-22222-22-2-2-2-222-22002-22-22-2-2200002-20000-20002-22-22-20000002-2000000000000000000000000000000−2i2i−2i2i0000
χ472-2-22222-22-2-2-2-22-22200-22-222-2-2200002-20000-2000-22-22-220000002-20000000000000000000000000000002i−2i−2i2i0000
χ482-2-22222-22-2-2-2-22-22200-22-222-2-2200002-20000-2000-22-22-220000002-2000000000000000000000000000000−2i2i2i−2i0000
χ494444-24-4-4-24-24-2400-24-40000-2-2-2222-4-4-4-42222200000000040000-222-2-2000000000000000000000000000000000000
χ504444-24-4-4-24-24-2400-2-440000-2-2-22-2-244-4-4-2-2-2-22000000000-4000022222000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-21111-2004-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111-22222-2-2-1-1-1-1-200-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-21111-200-422-1-1-1-1-22222-21111-1-1-1-100000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-4-41-4-42222111-22222-2-2-1-1-1-1-200422-1-1-1-12-2-2-2-2211-1-1111100000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i31112222222-1-1-1-1200000i3i3−i3−i3-200−2i32i3-2-1-111i3i3−i3−i300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i31112222222-1-1-1-1200000−i3−i3i3i3-2002i3−2i3-2-1-111−i3−i3i3i300000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i31112-2-2-2-2221111200000i3i3−i3−i32002i3−2i32-1-1-1-1−i3−i3i3i300000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i31112-2-2-2-2221111200000−i3−i3i3i3200−2i32i32-1-1-1-1i3i3−i3−i300000000000000000000000000000000
χ5944-4-44400-44-4-44-4004000000-44-40000000000004i−4i00000000000000000000000000004i−4i00000000000000000000000
χ6044-4-44400-44-4-44-4004000000-44-4000000000000−4i4i0000000000000000000000000000−4i4i00000000000000000000000
χ6144-4-44-200-4-2-424200-20000002-2200023−23002323−23−2304i−4i000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ6244-4-44-200-4-2-424200-20000002-2200023−23002323−23−230−4i4i0000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ6344-4-44-200-4-2-424200-20000002-22000−232300−23−23232304i−4i0000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ6444-4-44-200-4-2-424200-20000002-22000−232300−23−2323230−4i4i000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ654-44-44400-4-444-4-4004000000-4-440000000000000000000000000000000000000000−2i22i20000000000000−2i22i20000000000
χ664-44-44400-4-444-4-4004000000-4-4400000000000000000000000000000000000000002i2−2i200000000000002i2−2i20000000000
χ674-44-4-24002-4-242-400-200000022-20−2i32i30000−2i32i3−2i32i300000000000000000000000000000−2i22i20000000000000i2−i26−600000000
χ684-44-4-24002-4-242-400-200000022-20−2i32i30000−2i32i3−2i32i3000000000000000000000000000002i2−2i20000000000000−i2i2−6600000000
χ694-44-4-24002-4-242-400-200000022-202i3−2i300002i3−2i32i3−2i300000000000000000000000000000−2i22i20000000000000i2−i2−6600000000
χ704-44-4-24002-4-242-400-200000022-202i3−2i300002i3−2i32i3−2i3000000000000000000000000000002i2−2i20000000000000−i2i26−600000000
χ714-4-4444-444-4-4-4-440040000004-4-4-40000-4400004000000000000000-4400000000000000000000000000000000000000
χ724-4-444-24-442-42-4-24-4-200-22-22-22240000-220000-40004-4-22-22000000-2200000000000000000000000000000000000000
χ734-4-444-24-442-42-4-2-44-2002-22-2-22240000-220000-4000-442-22-2000000-2200000000000000000000000000000000000000
χ744-4-444-2-4442-42-4-200-200−2i32i32i3−2i3-222-400002-20000400000−2i32i32i3−2i30000002-200000000000000000000000000000000000000
χ754-4-444-2-4442-42-4-200-2002i3−2i3−2i32i3-222-400002-200004000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000
χ764-4-44-244-4-2-42-4244-4-2004-44-4-222-200004-400002000-22-22-22000000-2200000000000000000000000000000000000000
χ774-4-44-244-4-2-42-424-44-200-44-44-222-200004-4000020002-22-22-2000000-2200000000000000000000000000000000000000
χ784-4-44-24-44-2-42-42400-2000000-22220000-440000-2000000000023−230002-20023−2323−2300000000000000000000000000000000
χ794-4-44-24-44-2-42-42400-2000000-22220000-440000-20000000000−23230002-200−2323−232300000000000000000000000000000000
χ804-4-44-2-24-4-22222-24-4100-22-221-1-1-20000-223i−3i−3i3i2000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000
χ814-4-44-2-24-4-22222-24-4100-22-221-1-1-20000-22−3i3i3i−3i2000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000
χ824-4-44-2-24-4-22222-2-441002-22-21-1-1-20000-223i−3i−3i3i20002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000
χ834-4-44-2-24-4-22222-2-441002-22-21-1-1-20000-22−3i3i3i−3i20002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000
χ844-4-44-2-2-44-22222-200100−2i32i32i3−2i31-1-1200002-23i−3i−3i3i-200000i3−i3−i3i3023−23000-11−3i3i−33−3300000000000000000000000000000000
χ854-4-44-2-2-44-22222-200100−2i32i32i3−2i31-1-1200002-2−3i3i3i−3i-200000i3−i3−i3i30−2323000-113i−3i3−33−300000000000000000000000000000000
χ864-4-44-2-2-44-22222-2001002i3−2i3−2i32i31-1-1200002-23i−3i−3i3i-200000−i3i3i3−i30−2323000-11−3i3i3−33−300000000000000000000000000000000
χ874-4-44-2-2-44-22222-2001002i3−2i3−2i32i31-1-1200002-2−3i3i3i−3i-200000−i3i3i3−i3023−23000-113i−3i−33−3300000000000000000000000000000000
χ8888-8-8-4800484-8-4-800-40000004-440000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4004-444-44002000000-22-200043−4300−23−23232300000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4004-444-44002000000-22-2000−4343002323−23−2300000000000000000000000000000000000000000000000000000000
χ918-88-88-400-848-4-8400-400000044-40000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40044-4-444002000000-2-220−4i34i300002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-4-444002000000-2-2204i3−4i30000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000

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