Finite Group Databasebeta

← Group #11889250

Character table — Group #11889250

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222334444666666222366666661212121212121212121212124666666666612121212121212121212244466121224446688121212122424242444888812124
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
χ9111111-1-111111111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-11-1-111-1-1-1-111-1-1-111
χ10111111-1-111111111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1-1111-11-11-1-1-1-11111-1-1111-1-1
χ11111111-1-111111111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-111-1-1-11-11-11111-1-111-1-111-11-1
χ12111111-1-111111111-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-111-111-1-111-1-111-1-11-11
χ13111111-1-111111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-111-1-1-1-11-1111-1-111-1-1-1-111-111
χ14111111-1-111111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11-1-111111-1-11111-1-11-1-1
χ15111111-1-111111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-111-1-1-1-1-1111111-1-1-11-1
χ16111111-1-111111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111-1-11111-11-1-1-111-1-1-1-1-1-1111-11
χ1722222222-2-2222222-20020000222-2-222222222-2-20-200-2-2-200000000-2-200002-22-2222200000000-2-2000000000000000
χ1822222222-2-2222222-20020000222-2-222222222-2-20-200-2-2-200000000-2-20000-22-22-2-2-2-20000000022000000000000000
χ19222222-2-2-2-222222220020000222-2-2-2-2-2-2-2-2-2-2-2-2020022200000000-2-200002-2-2222-2-2000000002-2000000000000000
χ20222222-2-2-2-222222220020000222-2-2-2-2-2-2-2-2-2-2-2-2020022200000000-2-20000-222-2-2-22200000000-22000000000000000
χ2122222-122222-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12020-1-100-1-1-1-10000000000000
χ2222222-122222-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111-20-20110011110000000000000
χ2322222-122222-12-1-122-2-2-11111-1-1-1-1-1-1-122-1-1-1-122-22-2-2-1-1-1111111-2-2-1-111112222-1-1-1-1-20-201100-1-1110000000000000
χ2422222-122222-12-1-122-2-2-11111-1-1-1-1-1-1-122-1-1-1-122-22-2-2-1-1-1111111-2-2-1-11111-2-2-2-211112020-1-10011-1-10000000000000
χ2522222-122-2-22-12-1-12-200-1−i3−i3i3i3-1-1-111-1-122-1-1-1-1-2-20-200111−i3−i3i3i3−i3i30011−i3−i3i3i32-22-2-1-1-1-10000−i3i30011−i3i30000000000000
χ2622222-122-2-22-12-1-12-200-1−i3−i3i3i3-1-1-111-1-122-1-1-1-1-2-20-200111−i3−i3i3i3−i3i30011−i3−i3i3i3-22-2211110000i3−i300-1-1i3−i30000000000000
χ2722222-122-2-22-12-1-12-200-1i3i3−i3−i3-1-1-111-1-122-1-1-1-1-2-20-200111i3i3−i3−i3i3−i30011i3i3−i3−i32-22-2-1-1-1-10000i3−i30011i3−i30000000000000
χ2822222-122-2-22-12-1-12-200-1i3i3−i3−i3-1-1-111-1-122-1-1-1-1-2-20-200111i3i3−i3−i3i3−i30011i3i3−i3−i3-22-2211110000−i3i300-1-1−i3i30000000000000
χ2922222-1-2-2222-12-1-12-222-1-1-1-1-1-1-1-1-1-111-2-2111122-2-222111-1-1-1-111-2-2-1-1111122-2-2-1-11120-20-1-1001-1110000000000000
χ3022222-1-2-2222-12-1-12-222-1-1-1-1-1-1-1-1-1-111-2-2111122-2-222111-1-1-1-111-2-2-1-11111-2-22211-1-1-20201100-11-1-10000000000000
χ3122222-1-2-2222-12-1-12-2-2-2-11111-1-1-1-1-111-2-21111222-2-2-21111111-1-122-1-1-1-1-1-122-2-2-1-111-202011001-1-1-10000000000000
χ3222222-1-2-2222-12-1-12-2-2-2-11111-1-1-1-1-111-2-21111222-2-2-21111111-1-122-1-1-1-1-1-1-2-22211-1-120-20-1-100-11110000000000000
χ3322222-1-2-2-2-22-12-1-12200-1−i3−i3i3i3-1-1-11111-2-21111-2-20200-1-1-1−i3−i3i3i3i3−i30011i3i3−i3−i32-2-22-1-1110000−i3i300-11i3−i30000000000000
χ3422222-1-2-2-2-22-12-1-12200-1−i3−i3i3i3-1-1-11111-2-21111-2-20200-1-1-1−i3−i3i3i3i3−i30011i3i3−i3−i3-222-211-1-10000i3−i3001-1−i3i30000000000000
χ3522222-1-2-2-2-22-12-1-12200-1i3i3−i3−i3-1-1-11111-2-21111-2-20200-1-1-1i3i3−i3−i3−i3i30011−i3−i3i3i32-2-22-1-1110000i3−i300-11−i3i30000000000000
χ3622222-1-2-2-2-22-12-1-12200-1i3i3−i3−i3-1-1-11111-2-21111-2-20200-1-1-1i3i3−i3−i3−i3i30011−i3−i3i3i3-222-211-1-10000−i3i3001-1i3−i30000000000000
χ372222-122222-12-122-1222-12222-1-1-12222-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000020200220000-1-1-1-1000000-1-10
χ382222-122222-12-122-1222-12222-1-1-12222-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000-20-200-2-200001111000000110
χ392222-122222-12-122-12-2-2-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-1112-1-11111-2-211-1-1111100000000020200-2-200001111000000-1-10
χ402222-122222-12-122-12-2-2-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-1112-1-11111-2-211-1-11111000000000-20-200220000-1-1-1-1000000110
χ412222-12-2-222-12-122-1-222-12222-1-1-122-2-2111111-1-1-21-1-1-211-1-1-1-1-2-211-1-1111100000000020-2002-20000-1-1110000001-10
χ422222-12-2-222-12-122-1-222-12222-1-1-122-2-2111111-1-1-21-1-1-211-1-1-1-1-2-211-1-11111000000000-20200-22000011-1-1000000-110
χ432222-12-2-222-12-122-1-2-2-2-1-2-2-2-2-1-1-122-2-2111111-1-12111-211111122-1-1-1-1-1-1-1-100000000020-200-22000011-1-10000001-10
χ442222-12-2-222-12-122-1-2-2-2-1-2-2-2-2-1-1-122-2-2111111-1-12111-211111122-1-1-1-1-1-1-1-1000000000-202002-20000-1-111000000-110
χ4522-2-222002-2-2-2-22-2202-222-22-2-2-222-2000000002-2002-20002-22-200002-200000000000000000000000000002i−2i002i−2i000
χ4622-2-222002-2-2-2-22-2202-222-22-2-2-222-2000000002-2002-20002-22-200002-20000000000000000000000000000−2i2i00−2i2i000
χ4722-2-222002-2-2-2-22-220-222-22-22-2-222-2000000002-200-22000-22-2200002-200000000000000000000000000002i−2i00−2i2i000
χ4822-2-222002-2-2-2-22-220-222-22-22-2-222-2000000002-200-22000-22-2200002-20000000000000000000000000000−2i2i002i−2i000
χ494444-2444-4-4-24-244-2-400-20000-2-2-2-4-444-2-2-2-2-2-2220200-42200000000220000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-244-2400-20000-2-2-2-4-4-4-4222222220-2004-2-200000000220000000000000000000000000000000000000
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
χ534444-2-244-4-4-2-2-2-2-2-2-4001−2i3−2i32i32i311122-2-2-2-211112202002-1-1i3i3−i3−i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-40012i32i3−2i3−2i311122-2-2-2-211112202002-1-1−i3−i3i3i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-4441-2-2-2-2111-2-22222-1-1-1-1-2-2-42-2-22-1-11111222211-1-1-1-1000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4-4-412222111-2-22222-1-1-1-1-2-242222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-24001−2i3−2i32i32i3111222222-1-1-1-1220-200-211i3i3−i3−i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-240012i32i3−2i3−2i3111222222-1-1-1-1220-200-211−i3−i3i3i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000000
χ5944-4-44400-44-4-4-44-4400040000-4-44-4400000000-44000000000000000-440000000000000000000000000000000000000
χ6044-4-44-2004-4-42-4-22404-4-2-22-2222-2-22000000004-4004-4000-22-220000-220000000000000000000000000000000000000
χ6144-4-44-2004-4-42-4-2240-44-22-22-222-2-22000000004-400-440002-22-20000-220000000000000000000000000000000000000
χ6244-4-44-200-44-42-4-224000-2−2i32i32i3−2i322-22-200000000-440000000−2i32i32i3−2i300002-20000000000000000000000000000000000000
χ6344-4-44-200-44-42-4-224000-22i3−2i3−2i32i322-22-200000000-4400000002i3−2i3−2i32i300002-20000000000000000000000000000000000000
χ6444-4-4-24004-42-424-4-204-4-24-44-422-24-400000000-2200-22000-22-220000-220000000000000000000000000000000000000
χ6544-4-4-24004-42-424-4-20-44-2-44-4422-24-400000000-22002-20002-22-20000-220000000000000000000000000000000000000
χ6644-4-4-2400-442-424-4-2000-2000022-2-44000000002-20000000000000−2i32i32-2−2i32i3−2i32i3000000000000000000000000000000000
χ6744-4-4-2400-442-424-4-2000-2000022-2-44000000002-200000000000002i3−2i32-22i3−2i32i3−2i3000000000000000000000000000000000
χ6844-4-4-2-2004-4222-22-204-41-22-22-1-11-22000033-3-3-2200-2203-31-11-100001-13-3-33000000000000000000000000000000000
χ6944-4-4-2-2004-4222-22-204-41-22-22-1-11-220000-3-333-2200-220-331-11-100001-1-333-3000000000000000000000000000000000
χ7044-4-4-2-2004-4222-22-20-4412-22-2-1-11-22000033-3-3-22002-203-3-11-1100001-1-333-3000000000000000000000000000000000
χ7144-4-4-2-2004-4222-22-20-4412-22-2-1-11-220000-3-333-22002-20-33-11-1100001-13-3-33000000000000000000000000000000000
χ7244-4-4-2-200-44222-22-20001−2i32i32i3−2i3-1-112-2000033-3-32-200000-33i3−i3−i3i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000000
χ7344-4-4-2-200-44222-22-20001−2i32i32i3−2i3-1-112-20000-3-3332-2000003-3i3−i3−i3i300−2i32i3-11i3−i3i3−i3000000000000000000000000000000000
χ7444-4-4-2-200-44222-22-200012i3−2i3−2i32i3-1-112-2000033-3-32-200000-33−i3i3i3−i300−2i32i3-11i3−i3i3−i3000000000000000000000000000000000
χ7544-4-4-2-200-44222-22-200012i3−2i3−2i32i3-1-112-20000-3-3332-2000003-3−i3i3i3−i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000000
χ764-44-44400004-4-4-44-4000400004-4-400000000000000000000000000000000000000000000000000000000000−2i22i200000
χ774-44-44400004-4-4-44-4000400004-4-4000000000000000000000000000000000000000000000000000000000002i2−2i200000
χ784-4-44444i−4i00-444-4-4-400040000-44-4004i−4i4i−4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000
χ794-4-4444−4i4i00-444-4-4-400040000-44-400−4i4i−4i4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-4-444-24i−4i00-4-2422-4000-200002-2200−2i2i4i−4i−2i2i−2i2i000000000000000000000000000−2i32i323−230000000000000000000000000
χ814-4-444-24i−4i00-4-2422-4000-200002-2200−2i2i4i−4i−2i2i−2i2i0000000000000000000000000002i3−2i3−23230000000000000000000000000
χ824-4-444-2−4i4i00-4-2422-4000-200002-22002i−2i−4i4i2i−2i2i−2i000000000000000000000000000−2i32i3−23230000000000000000000000000
χ834-4-444-2−4i4i00-4-2422-4000-200002-22002i−2i−4i4i2i−2i2i−2i0000000000000000000000000002i3−2i323−230000000000000000000000000
χ844-4-44-244i−4i0024-2-4-42000-200002-22004i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000006−6i6−i6000000000
χ854-4-44-244i−4i0024-2-4-42000-200002-22004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000−66−i6i6000000000
χ864-4-44-24−4i4i0024-2-4-42000-200002-2200−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000006−6−i6i6000000000
χ874-4-44-24−4i4i0024-2-4-42000-200002-2200−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000−66i6−i6000000000
χ888-88-88-4000084-84-4-8000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-480000-4-84-884000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000-4444-44000200002-2-20000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000-4444-44000200002-2-2000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-8-88-4-48i−8i004-4-444400020000-22-200−4i4i−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000
χ938-8-88-4-4−8i8i004-4-444400020000-22-2004i−4i4i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000

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