Finite Group Databasebeta

← Group #11884416

Character table — Group #11884416

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order122233444466666623446661212121212121212121212121212121226666666666661212121212121212244412121212224466688121212242424242288886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ5111111111111111111-1-1111111111-1-1-1-1111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-111111111-11-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111
χ6111111111111111111-1-1111111111-1-1-1-1111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1111-1-11111-1-11111-1-1-1
χ7111111111111111111-1-1111111111-1-1-1-1111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-1-1111111-1
χ8111111111111111111-1-1111111111-1-1-1-1111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-111111111-1-1-1-1-1-11
χ9111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1111-11-1-1-111-1-11111-1-11-1-1
χ10111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111-1-111111-1-1-1-1-1-111-1-1-1-111-111
χ11111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1111-11
χ12111111-1-111111111-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-111-1-1-11-1111-1-1111111-1-1-11-1
χ13111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-111-111-1-11111-1-111-1-1-1-11-1-11-1-111-111-11-1-11-1-111-1-11111-1-1111-1-1
χ14111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-111-111-1-11111-1-111-1-1-1-11-1-11-1-111-1-1111-1-1-11-11111-1-1-1-111-1-1-111
χ15111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-111-111-1-11111-1-111-1-1-1-1-111-111-1-111-1-1-1111-11-1-1-1-111-1-111-1-11-11
χ16111111-1-111111111-11-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-111-111-1-11111-1-111-1-1-1-1-111-111-1-11-1-11-111-111-1-111-1-111-1-111-11-1
χ1722222222-2-2222222-220022222-2-22200002222-2-20-200-200-2-2000000-2-200002-22-2-2-2-2-20000200002000000000000000
χ1822222222-2-2222222-220022222-2-22200002222-2-20-200-200-2-2000000-2-20000-22-2222220000-20000-2000000000000000
χ19222222-2-2-2-22222222200222-2-2-2-2-2-20000-2-2-2-2-2-2020020022000000-2-2000022-2-222-2-2000020000-2000000000000000
χ20222222-2-2-2-22222222200222-2-2-2-2-2-20000-2-2-2-2-2-2020020022000000-2-20000-2-222-2-2220000-200002000000000000000
χ2122222-122222-122-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12020-1-1-100-1-1-10000000000000
χ2222222-122222-122-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111-20-20111001110000000000000
χ2322222-122222-122-1-12-1-2-2-1-1-122-1-1-1-11111-1-1-1-122-22-2-2-111-1-11111-2-2-1-111112222-1-1-1-1-20-20-11100-1110000000000000
χ2422222-122222-122-1-12-1-2-2-1-1-122-1-1-1-11111-1-1-1-122-22-2-2-111-1-11111-2-2-1-11111-2-2-2-2111120201-1-1001-1-10000000000000
χ2522222-122-2-22-122-1-1-2-100-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-20-2001−i3i311−i3−i3i3i30011−i3−i3i3i32-22-211110000-1−i3i300-1−i3i30000000000000
χ2622222-122-2-22-122-1-1-2-100-1-1-12211-1-1−i3−i3i3i3-1-1-1-1-2-20-2001−i3i311−i3−i3i3i30011−i3−i3i3i3-22-22-1-1-1-100001i3−i3001i3−i30000000000000
χ2722222-122-2-22-122-1-1-2-100-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-20-2001i3−i311i3i3−i3−i30011i3i3−i3−i32-22-211110000-1i3−i300-1i3−i30000000000000
χ2822222-122-2-22-122-1-1-2-100-1-1-12211-1-1i3i3−i3−i3-1-1-1-1-2-20-2001i3−i311i3i3−i3−i30011i3i3−i3−i3-22-22-1-1-1-100001−i3i3001−i3i30000000000000
χ2922222-1-2-2222-122-1-1-2-122-1-1-1-2-2-1-111-1-1-1-1111122-2-2-2-211111111122-1-1-1-1-1-12-2-2211-1-120-20-1-1-1001110000000000000
χ3022222-1-2-2222-122-1-1-2-122-1-1-1-2-2-1-111-1-1-1-1111122-2-2-2-211111111122-1-1-1-1-1-1-222-2-1-111-202011100-1-1-10000000000000
χ3122222-1-2-2222-122-1-1-2-1-2-2-1-1-1-2-2-1-11111111111222-2221-1-111-1-1-1-1-2-2-1-111112-2-2211-1-1-2020-111001-1-10000000000000
χ3222222-1-2-2222-122-1-1-2-1-2-2-1-1-1-2-2-1-11111111111222-2221-1-111-1-1-1-1-2-2-1-11111-222-2-1-11120-201-1-100-1110000000000000
χ3322222-1-2-2-2-22-122-1-12-100-1-1-1-2-21111−i3−i3i3i31111-2-20200-1i3−i3-1-1i3i3−i3−i30011−i3−i3i3i322-2-2-1-1110000-1−i3i3001i3−i30000000000000
χ3422222-1-2-2-2-22-122-1-12-100-1-1-1-2-21111−i3−i3i3i31111-2-20200-1i3−i3-1-1i3i3−i3−i30011−i3−i3i3i3-2-22211-1-100001i3−i300-1−i3i30000000000000
χ3522222-1-2-2-2-22-122-1-12-100-1-1-1-2-21111i3i3−i3−i31111-2-20200-1−i3i3-1-1−i3−i3i3i30011i3i3−i3−i322-2-2-1-1110000-1i3−i3001−i3i30000000000000
χ3622222-1-2-2-2-22-122-1-12-100-1-1-1-2-21111i3i3−i3−i31111-2-20200-1−i3i3-1-1−i3−i3i3i30011i3i3−i3−i3-2-22211-1-100001−i3i300-1i3−i30000000000000
χ372222-122222-12-1-1222-122-1-1-1-1-122222222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000020200022000-1-1-1-1000000-1-10
χ382222-122222-12-1-1222-122-1-1-1-1-122222222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-20-2000-2-20001111000000110
χ392222-122222-12-1-1222-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-2-1112-2-2-1-1111111-1-11111000000000202000-2-20001111000000-1-10
χ402222-122222-12-1-1222-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-2-1112-2-2-1-1111111-1-11111000000000-20-200022000-1-1-1-1000000110
χ412222-12-2-222-12-1-122-2-122-1-1-11122-2-222221111-1-1-2111-2-2-2111111-1-1-1-1-1-1-1-100000000020-2000-22000-1-111000000-110
χ422222-12-2-222-12-1-122-2-122-1-1-11122-2-222221111-1-1-2111-2-2-2111111-1-1-1-1-1-1-1-1000000000-2020002-200011-1-10000001-10
χ432222-12-2-222-12-1-122-2-1-2-2-1-1-11122-2-2-2-2-2-21111-1-121-1-1-22211-1-1-1-111-1-1111100000000020-20002-200011-1-1000000-110
χ442222-12-2-222-12-1-122-2-1-2-2-1-1-11122-2-2-2-2-2-21111-1-121-1-1-22211-1-1-1-111-1-11111000000000-202000-22000-1-1110000001-10
χ452-2-222200-22-2-22-22-2022-2-2-22002-2002-22-200002-200000000000002-22-22-22-20000000000000000000000002-22-200000
χ462-2-222200-22-2-22-22-2022-2-2-22002-2002-22-200002-200000000000002-22-22-22-2000000000000000000000000-22-2200000
χ472-2-222200-22-2-22-22-202-22-2-22002-200-22-2200002-20000000000000-222-2-22-220000000000000000000000002-2-2200000
χ482-2-222200-22-2-22-22-202-22-2-22002-200-22-2200002-20000000000000-222-2-22-22000000000000000000000000-222-200000
χ494444-2444-4-4-24-2-244-4-200-2-2-2-2-2-4-4440000-2-2-2-2220200-40022000000220000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-2-2444-200-2-2-222-4-4-4-400002222220-200400-2-2000000220000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-24144111-2-2-2-2-2-2-2-2-2-21111-2-24-2-2-2-2-2-2111111-2-2111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-241-4-4111-2-2-2-2-2-222221111-2-2-4-222-22211-1-1-1-12211-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-4100111-2-222-2-2−2i3−2i32i32i311112202002−2i32i3-1-1i3i3−i3−i300-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-4100111-2-222-2-22i32i3−2i3−2i3111122020022i3−2i3-1-1−i3−i3i3i300-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-414411122-2-222-2-2-2-2-1-1-1-1-2-2-4222222-1-1-1-1-1-1-2-2111111000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-41-4-411122-2-2222222-1-1-1-1-2-242-2-22-2-2-1-111112211-1-1-1-1000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-24100111222222−2i3−2i32i32i3-1-1-1-1220-200-22i3−2i311−i3−i3i3i300-1-1i3i3−i3−i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-241001112222222i32i3−2i3−2i3-1-1-1-1220-200-2−2i32i311i3i3−i3−i300-1-1−i3−i3i3i3000000000000000000000000000000000
χ5944-4-4444i−4i0044-4-4-4-404004-4-44i−4i004i−4i00004i4i−4i−4i00000000000000000000000000000000000000000000000000000000
χ6044-4-444−4i4i0044-4-4-4-404004-4-4−4i4i00−4i4i0000−4i−4i4i4i00000000000000000000000000000000000000000000000000000000
χ6144-4-44-24i−4i004-2-4-4220-200-2224i−4i00−2i2i0000−2i−2i2i2i000000000000000000000000000−2i32i323−230000000000000000000000000
χ6244-4-44-24i−4i004-2-4-4220-200-2224i−4i00−2i2i0000−2i−2i2i2i0000000000000000000000000002i3−2i3−23230000000000000000000000000
χ6344-4-44-2−4i4i004-2-4-4220-200-222−4i4i002i−2i00002i2i−2i−2i000000000000000000000000000−2i32i3−23230000000000000000000000000
χ6444-4-44-2−4i4i004-2-4-4220-200-222−4i4i002i−2i00002i2i−2i−2i0000000000000000000000000002i3−2i323−230000000000000000000000000
χ6544-4-4-244i−4i00-2422-4-40-200-222−2i2i004i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000006−6i6−i6000000000
χ6644-4-4-244i−4i00-2422-4-40-200-222−2i2i004i−4i0000−2i−2i2i2i0000000000000000000000000000000000000000000−66−i6i6000000000
χ6744-4-4-24−4i4i00-2422-4-40-200-2222i−2i00−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000006−6−i6i6000000000
χ6844-4-4-24−4i4i00-2422-4-40-200-2222i−2i00−4i4i00002i2i−2i−2i0000000000000000000000000000000000000000000−66i6−i6000000000
χ694-44-4440000-4-4-44-440400-44-40000000000000000000000000000000000000000000000000000000000000000022−22000
χ704-44-4440000-4-4-44-440400-44-400000000000000000000000000000000000000000000000000000000000000000−2222000
χ714-4-4444004-4-4-44-44-40400-4-4400-440000000000-44000000000000000-440000000000000000000000000000000000000
χ724-4-444-2004-4-424-4-220-20022-2002-200−2i32i32i3−2i30000-440000000000000002-2−2i32i32i3−2i3000000000000000000000000000000000
χ734-4-444-2004-4-424-4-220-20022-2002-2002i3−2i3−2i32i30000-440000000000000002-22i3−2i3−2i32i3000000000000000000000000000000000
χ744-4-444-200-44-424-4-220-24-422-200-2200-22-2200004-400000000000004-4-22-22-22000000000000000000000000000000000
χ754-4-444-200-44-424-4-220-2-4422-200-22002-22-200004-40000000000000-44-222-22-2000000000000000000000000000000000
χ764-4-44-24004-42-4-224-40-20022-200-4400000000002-200−2i32i300000−2i32i3−2i32i3002-20000000000000000000000000000000000000
χ774-4-44-24004-42-4-224-40-20022-200-4400000000002-2002i3−2i3000002i3−2i32i3−2i3002-20000000000000000000000000000000000000
χ784-4-44-2400-442-4-224-40-24-422-2004-4004-44-40000-220000000000000-22-22-22-22000000000000000000000000000000000
χ794-4-44-2400-442-4-224-40-2-4422-2004-400-44-440000-2200000000000002-2-222-22-2000000000000000000000000000000000
χ804-4-44-2-2004-422-22-220100-1-11002-200−2i32i32i3−2i33-33-32-200−2i32i30003-3i3−i3i3−i300-11i3−i3−i3i3000000000000000000000000000000000
χ814-4-44-2-2004-422-22-220100-1-11002-200−2i32i32i3−2i3-33-332-2002i3−2i3000-33−i3i3−i3i300-11i3−i3−i3i3000000000000000000000000000000000
χ824-4-44-2-2004-422-22-220100-1-11002-2002i3−2i3−2i32i33-33-32-2002i3−2i30003-3−i3i3−i3i300-11−i3i3i3−i3000000000000000000000000000000000
χ834-4-44-2-2004-422-22-220100-1-11002-2002i3−2i3−2i32i3-33-332-200−2i32i3000-33i3−i3i3−i300-11−i3i3i3−i3000000000000000000000000000000000
χ844-4-44-2-200-4422-22-22014-4-1-1100-2200-22-223-33-3-220000000-33-333-3-221-11-11-1000000000000000000000000000000000
χ854-4-44-2-200-4422-22-22014-4-1-1100-2200-22-22-33-33-2200000003-33-3-33-221-11-11-1000000000000000000000000000000000
χ864-4-44-2-200-4422-22-2201-44-1-1100-22002-22-23-33-3-220000000-333-3-332-21-1-11-11000000000000000000000000000000000
χ874-4-44-2-200-4422-22-2201-44-1-1100-22002-22-2-33-33-2200000003-3-333-32-21-1-11-11000000000000000000000000000000000
χ8888-8-8-4-48i−8i00-4-4444402002-2-2−4i4i00−4i4i00002i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4−8i8i00-4-4444402002-2-24i−4i004i−4i0000−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ908-88-88-40000-84-884-40-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4800004-84-4-880-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000444-44-40200-22-200000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-44-40200-22-20000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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