Finite Group Databasebeta

← Group #11884437

Character table — Group #11884437

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order122233444466666622236666666121212121212121212121212466666666661212121212121212121224446612122244668812121212242424244488886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-111-1
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
χ511111111111111111-1-11-1-1-1-1111111111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-11-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1111
χ611111111111111111-1-11-1-1-1-1111111111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1
χ711111111111111111-1-11-1-1-1-1111111111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1
χ811111111111111111-1-11-1-1-1-1111111111111111-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111111111-1-1-1-1-1-11
χ9111111-1-111111111-11111111111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-111-1-111-11-11-1-111-1-11111-1-11-1-1
χ10111111-1-111111111-11111111111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-11-1-11111-1-11-1-1-1-111-1-1-1-111-111
χ11111111-1-111111111-11111111111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-111-1-1-1-111-11111-1-1-1-1-1-1111-11
χ12111111-1-111111111-11111111111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-1-111-1-11-11-111-1-1111111-1-1-11-1
χ13111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-111-1-1-11-1-1111-1-11111-1-1111-1-1
χ14111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-11-111111-1-1-1-111-1-1-111
χ15111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-11111-1-1111-11-1-1-1-1-111-1-111-1-11-11
χ16111111-1-111111111-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1111-1-1111-111-1-1-111-1-111-1-111-11-1
χ1722222222-2-2222222-2002000022222-2-2222222-2-20-200-2-2-200000000-2-200002-22-2222200000000-2-2000000000000000
χ1822222222-2-2222222-2002000022222-2-2222222-2-20-200-2-2-200000000-2-20000-22-22-2-2-2-20000000022000000000000000
χ19222222-2-2-2-222222220020000222-2-2-2-2-2-2-2-2-2-2-2-2020022200000000-2-2000022-2-222-2-2000000002-2000000000000000
χ20222222-2-2-2-222222220020000222-2-2-2-2-2-2-2-2-2-2-2-2020022200000000-2-20000-2-222-2-22200000000-22000000000000000
χ2122222-122222-122-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12020-1-100-1-1-1-10000000000000
χ2222222-122222-122-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-20-20110011110000000000000
χ2322222-122222-122-1-12-2-2-11111-1-1-122-1-1-1-1-1-1-1-122-22-2-2-1-1-11111-2-211-1-111112222-1-1-1-1-20-201100-1-1110000000000000
χ2422222-122222-122-1-12-2-2-11111-1-1-122-1-1-1-1-1-1-1-122-22-2-2-1-1-11111-2-211-1-11111-2-2-2-211112020-1-10011-1-10000000000000
χ2522222-122-2-22-122-1-1-200-1−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-20-200111−i3−i3i3i300−i3i311−i3−i3i3i32-22-2-1-1-1-10000−i3i30011−i3i30000000000000
χ2622222-122-2-22-122-1-1-200-1−i3−i3i3i3-1-1-12211-1-1-1-1-1-1-2-20-200111−i3−i3i3i300−i3i311−i3−i3i3i3-22-2211110000i3−i300-1-1i3−i30000000000000
χ2722222-122-2-22-122-1-1-200-1i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-20-200111i3i3−i3−i300i3−i311i3i3−i3−i32-22-2-1-1-1-10000i3−i30011i3−i30000000000000
χ2822222-122-2-22-122-1-1-200-1i3i3−i3−i3-1-1-12211-1-1-1-1-1-1-2-20-200111i3i3−i3−i300i3−i311i3i3−i3−i3-22-2211110000−i3i300-1-1−i3i30000000000000
χ2922222-1-2-2222-122-1-1-222-1-1-1-1-1-1-1-1-2-2-1-111111122-2-222111-1-1-1-1-2-211-1-111112-2-22-1-11120-20-1-1001-1110000000000000
χ3022222-1-2-2222-122-1-1-222-1-1-1-1-1-1-1-1-2-2-1-111111122-2-222111-1-1-1-1-2-211-1-11111-222-211-1-1-20201100-11-1-10000000000000
χ3122222-1-2-2222-122-1-1-2-2-2-11111-1-1-1-2-2-1-1111111222-2-2-2111111122-1-1-1-1-1-1-1-12-2-22-1-111-202011001-1-1-10000000000000
χ3222222-1-2-2222-122-1-1-2-2-2-11111-1-1-1-2-2-1-1111111222-2-2-2111111122-1-1-1-1-1-1-1-1-222-211-1-120-20-1-100-11110000000000000
χ3322222-1-2-2-2-22-122-1-1200-1−i3−i3i3i3-1-1-1-2-211111111-2-20200-1-1-1−i3−i3i3i300i3−i311i3i3−i3−i322-2-2-1-1110000−i3i300-11i3−i30000000000000
χ3422222-1-2-2-2-22-122-1-1200-1−i3−i3i3i3-1-1-1-2-211111111-2-20200-1-1-1−i3−i3i3i300i3−i311i3i3−i3−i3-2-22211-1-10000i3−i3001-1−i3i30000000000000
χ3522222-1-2-2-2-22-122-1-1200-1i3i3−i3−i3-1-1-1-2-211111111-2-20200-1-1-1i3i3−i3−i300−i3i311−i3−i3i3i322-2-2-1-1110000i3−i300-11−i3i30000000000000
χ3622222-1-2-2-2-22-122-1-1200-1i3i3−i3−i3-1-1-1-2-211111111-2-20200-1-1-1i3i3−i3−i300−i3i311−i3−i3i3i3-2-22211-1-10000−i3i3001-1i3−i30000000000000
χ372222-122222-12-1-122222-12222-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000020200220000-1-1-1-1000000-1-10
χ382222-122222-12-1-122222-12222-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000-20-200-2-200001111000000110
χ392222-122222-12-1-1222-2-2-1-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-2-1112-1-1111111-2-2-1-1111100000000020200-2-200001111000000-1-10
χ402222-122222-12-1-1222-2-2-1-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-1-2-1112-1-1111111-2-2-1-11111000000000-20-200220000-1-1-1-1000000110
χ412222-12-2-222-12-1-122-222-12222-1-1-11122-2-21111-1-1-21-1-1-211-1-1-1-111-2-2-1-1111100000000020-200-220000-1-111000000-110
χ422222-12-2-222-12-1-122-222-12222-1-1-11122-2-21111-1-1-21-1-1-211-1-1-1-111-2-2-1-11111000000000-202002-2000011-1-10000001-10
χ432222-12-2-222-12-1-122-2-2-2-1-2-2-2-2-1-1-11122-2-21111-1-12111-2111111-1-122-1-1-1-1-1-100000000020-2002-2000011-1-1000000-110
χ442222-12-2-222-12-1-122-2-2-2-1-2-2-2-2-1-1-11122-2-21111-1-12111-2111111-1-122-1-1-1-1-1-1000000000-20200-220000-1-1110000001-10
χ452-2-222200-22-2-22-22-202-222-22-2-2-22002-20000002-2002-20002-22-200002-200000000000000000000000000002-22-200000
χ462-2-222200-22-2-22-22-202-222-22-2-2-22002-20000002-2002-20002-22-200002-20000000000000000000000000000-22-2200000
χ472-2-222200-22-2-22-22-20-222-22-22-2-22002-20000002-200-22000-22-2200002-200000000000000000000000000002-2-2200000
χ482-2-222200-22-2-22-22-20-222-22-22-2-22002-20000002-200-22000-22-2200002-20000000000000000000000000000-222-200000
χ494444-2444-4-4-24-2-244-400-20000-2-2-2-2-2-4-444-2-2-2-2220200-42200000000220000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-2-244400-20000-2-2-222-4-4-4-42222220-2004-2-200000000220000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-24441-2-2-2-2111-2-2-2-2-2-21111-2-24-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-24-4-412222111-2-2-2-2-2-21111-2-2-4-222-211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-4001−2i3−2i32i32i3111-2-222-2-211112202002-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-40012i32i3−2i3−2i3111-2-222-2-211112202002-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-4441-2-2-2-211122-2-222-1-1-1-1-2-2-42-2-22-1-11111222211-1-1-1-1000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4-4-41222211122-2-222-1-1-1-1-2-242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-24001−2i3−2i32i32i3111222222-1-1-1-1220-200-211i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-240012i32i3−2i3−2i3111222222-1-1-1-1220-200-211−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000
χ5944-4-4444i−4i0044-4-4-4-4000400004-4-44i−4i004i−4i4i4i−4i−4i00000000000000000000000000000000000000000000000000000000
χ6044-4-444−4i4i0044-4-4-4-4000400004-4-4−4i4i00−4i4i−4i−4i4i4i00000000000000000000000000000000000000000000000000000000
χ6144-4-44-24i−4i004-2-4-422000-20000-2224i−4i00−2i2i−2i−2i2i2i000000000000000000000000000−2i32i323−230000000000000000000000000
χ6244-4-44-24i−4i004-2-4-422000-20000-2224i−4i00−2i2i−2i−2i2i2i0000000000000000000000000002i3−2i3−23230000000000000000000000000
χ6344-4-44-2−4i4i004-2-4-422000-20000-222−4i4i002i−2i2i2i−2i−2i000000000000000000000000000−2i32i3−23230000000000000000000000000
χ6444-4-44-2−4i4i004-2-4-422000-20000-222−4i4i002i−2i2i2i−2i−2i0000000000000000000000000002i3−2i323−230000000000000000000000000
χ6544-4-4-244i−4i00-2422-4-4000-20000-222−2i2i004i−4i−2i−2i2i2i0000000000000000000000000000000000000000000i6−i66−6000000000
χ6644-4-4-244i−4i00-2422-4-4000-20000-222−2i2i004i−4i−2i−2i2i2i0000000000000000000000000000000000000000000−i6i6−66000000000
χ6744-4-4-24−4i4i00-2422-4-4000-20000-2222i−2i00−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000i6−i6−66000000000
χ6844-4-4-24−4i4i00-2422-4-4000-20000-2222i−2i00−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000−i6i66−6000000000
χ694-44-4440000-4-4-44-4400040000-44-4000000000000000000000000000000000000000000000000000000000000022−22000
χ704-44-4440000-4-4-44-4400040000-44-40000000000000000000000000000000000000000000000000000000000000−2222000
χ714-4-4444004-4-4-44-44-400040000-4-4400-44000000-44000000000000000-440000000000000000000000000000000000000
χ724-4-444-2004-4-424-4-22000-2−2i32i32i3−2i322-2002-2000000-440000000−2i32i32i3−2i300002-20000000000000000000000000000000000000
χ734-4-444-2004-4-424-4-22000-22i3−2i3−2i32i322-2002-2000000-4400000002i3−2i3−2i32i300002-20000000000000000000000000000000000000
χ744-4-444-200-44-424-4-2204-4-2-22-2222-200-220000004-4004-4000-22-220000-220000000000000000000000000000000000000
χ754-4-444-200-44-424-4-220-44-22-22-222-200-220000004-400-440002-22-20000-220000000000000000000000000000000000000
χ764-4-44-24004-42-4-224-4000-2000022-200-440000002-200000000000−2i32i3002-2−2i32i3−2i32i3000000000000000000000000000000000
χ774-4-44-24004-42-4-224-4000-2000022-200-440000002-2000000000002i3−2i3002-22i3−2i32i3−2i3000000000000000000000000000000000
χ784-4-44-2400-442-4-224-404-4-24-44-422-2004-4000000-2200-22000-22-220000-220000000000000000000000000000000000000
χ794-4-44-2400-442-4-224-40-44-2-44-4422-2004-4000000-22002-20002-22-20000-220000000000000000000000000000000000000
χ804-4-44-2-2004-422-22-220001−2i32i32i3−2i3-1-11002-2003-33-32-2000003-3i3−i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000
χ814-4-44-2-2004-422-22-220001−2i32i32i3−2i3-1-11002-200-33-332-200000-33i3−i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000
χ824-4-44-2-2004-422-22-2200012i3−2i3−2i32i3-1-11002-2003-33-32-2000003-3−i3i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000
χ834-4-44-2-2004-422-22-2200012i3−2i3−2i32i3-1-11002-200-33-332-200000-33−i3i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000
χ844-4-44-2-200-4422-22-2204-41-22-22-1-1100-22003-33-3-2200-220-331-11-100001-1-333-3000000000000000000000000000000000
χ854-4-44-2-200-4422-22-2204-41-22-22-1-1100-2200-33-33-2200-2203-31-11-100001-13-3-33000000000000000000000000000000000
χ864-4-44-2-200-4422-22-220-4412-22-2-1-1100-22003-33-3-22002-20-33-11-1100001-13-3-33000000000000000000000000000000000
χ874-4-44-2-200-4422-22-220-4412-22-2-1-1100-2200-33-33-22002-203-3-11-1100001-1-333-3000000000000000000000000000000000
χ8888-8-8-4-48i−8i00-4-44444000200002-2-2−4i4i00−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4−8i8i00-4-44444000200002-2-24i−4i004i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ908-88-88-40000-84-884-4000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-4800004-84-4-88000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000444-44-400020000-22-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-44-400020000-22-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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