Finite Group Databasebeta

← Group #11895872

Character table — Group #11895872

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12223344446666663466612121212121212121212441212121212121212121212444444888812121212121212122424242424242424121212121212244661212221212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-1-1-1-1-111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ61111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1
χ71111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-111-1-11-1-1
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111
χ9111111-1-1111111111-1111-1-111-1-1-1-1111-111-1-1-1-1-1-1-1111-11-11111-1-111-1-111111111-1-1-1-11-111-1-1-11-1-1-11-1111-1-11-1
χ10111111-1-1111111111-1111-1-111-1-1-1-1111-111-1-1-1-1-1-1-1111-11-111-1-11111-1-11111-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-111-11
χ11111111-1-1111111111-1111-1-111-1-1-1-1111-111-1-1-1-1-1-1-111-11-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-111-11-1-11-11-11
χ12111111-1-1111111111-1111-1-111-1-1-1-1111-111-1-1-1-1-1-1-111-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-11-1111-1111-11-11-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111-11-1-111-1-1-1-1-1111-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-11111-1-1-1-1111-1
χ14111111-1-1111111111-1111-1-111-1-1-1-111-11-1-111-1-1-1-1-1111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1111-1111-1-1-11
χ15111111-1-1111111111-1111-1-111-1-1-1-111-11-1-111-1-1-1-1-111-11-111111-1-1-1-11111111111-1-1-1-1-11-1-111-1-11-1-1-1111-11-1-11
χ16111111-1-1111111111-1111-1-111-1-1-1-111-11-1-111-1-1-1-1-111-11-1111-1-111-1-1111111-1-1-1-11111-11-1-111-11-1-1-1-11-1-11-111-1
χ1722222222-2-22222222-2222-2-2-2-22222-2-2000000-222-2-2-2-222-2-2000000222200000000000000000000000-2-20000000
χ1822222222-2-22222222-2222-2-2-2-22222-2-2000000-222-2-2-2-2-2-222000000-2-2-2-200000000000000000000000220000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-20000002-2-222-2-22-2-2200000022-2-200000000000000000000000-220000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-20000002-2-222-2-2-222-2000000-2-222000000000000000000000002-20000000
χ2122222-1222222-1-12-1-12-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-10000000
χ2222222-1222222-1-12-1-12-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-1-20011110000000
χ2322222-1222222-1-12-1-12-1-1-122-1-122-1-122-2-21111-1-1-1-1-1-1-12222-2-20000-1-1-1-1111100000000-2-21111-20011-1-10000000
χ2422222-1222222-1-12-1-12-1-1-122-1-122-1-122-2-21111-1-1-1-1-1-1-1-2-2-2-22200001111-1-1-1-100000000-2-21111200-1-1110000000
χ2522222-122-2-222-1-12-1-1-2-1-1-1-2-21122-1-1-2-200−i3i3−i3i31-1-1111122-2-2000000-1-1-1-1−i3−i3i3i30000000000−i3i3−i3i3000−i3i3110000000
χ2622222-122-2-222-1-12-1-1-2-1-1-1-2-21122-1-1-2-200−i3i3−i3i31-1-11111-2-2220000001111i3i3−i3−i30000000000−i3i3−i3i3000i3−i3-1-10000000
χ2722222-122-2-222-1-12-1-1-2-1-1-1-2-21122-1-1-2-200i3−i3i3−i31-1-1111122-2-2000000-1-1-1-1i3i3−i3−i30000000000i3−i3i3−i3000i3−i3110000000
χ2822222-122-2-222-1-12-1-1-2-1-1-1-2-21122-1-1-2-200i3−i3i3−i31-1-11111-2-2220000001111−i3−i3i3i30000000000i3−i3i3−i3000−i3i3-1-10000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-1-2-211222-2-1-11111111-1-12-22-2220000-1-111-1-1-1-1000000002-2-1-111-20011-110000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-1-2-211222-2-1-11111111-1-1-22-22-2-2000011-1-11111000000002-2-1-111200-1-11-10000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-1-2-21122-2211-1-111111-1-12-22-2-2-20000-1-111111100000000-2211-1-1200-1-1-110000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-1-2-21122-2211-1-111111-1-1-22-2222000011-1-1-1-1-1-100000000-2211-1-1-200111-10000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-12211-2-211-2-200−i3i3i3−i3-111-1-1112-2-22000000-1-111−i3−i3i3i30000000000−i3i3i3−i3000i3−i31-10000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-12211-2-211-2-200−i3i3i3−i3-111-1-111-222-200000011-1-1i3i3−i3−i30000000000−i3i3i3−i3000−i3i3-110000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-12211-2-211-2-200i3−i3−i3i3-111-1-1112-2-22000000-1-111i3i3−i3−i30000000000i3−i3−i3i3000−i3i31-10000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-12211-2-211-2-200i3−i3−i3i3-111-1-111-222-200000011-1-1−i3−i3i3i30000000000i3−i3−i3i3000i3−i3-110000000
χ372222-122222-1-122-12-12-1-1-1-1-122-1-122-1-12222222-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ382222-122222-1-122-12-12-1-1-1-1-122-1-122-1-12222222-1-1-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-10-2-200000011000
χ392222-122222-1-122-12-12-1-1-1-1-122-1-122-1-1-2-2-2-2-2-22-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-11111110-2-200000011000
χ402222-122222-1-122-12-12-1-1-1-1-122-1-122-1-1-2-2-2-2-2-22-1-1-1-1-1-1000000-2-2-2-20000000011111111111111022000000-1-1000
χ412222-12-2-222-1-122-12-1-2-1-1-1112211-2-2-1-12-222-2-2-21111-1-100000022-2-200000000-1-1-1-11111-11-1-11102-2000000-11000
χ422222-12-2-222-1-122-12-1-2-1-1-1112211-2-2-1-12-222-2-2-21111-1-1000000-2-222000000001111-1-1-1-1-11-1-1110-220000001-1000
χ432222-12-2-222-1-122-12-1-2-1-1-1112211-2-2-1-1-22-2-222-21111-1-100000022-2-200000000-1-1-1-111111-111-1-10-220000001-1000
χ442222-12-2-222-1-122-12-1-2-1-1-1112211-2-2-1-1-22-2-222-21111-1-1000000-2-222000000001111-1-1-1-11-111-1-102-2000000-11000
χ4522-2-22200-22-222-2-2-220-2-22002-200002-2000000000002-200002i−2i2i−2i0000002i−2i2i−2i2i2i−2i−2i000000000000000002-200000
χ4622-2-22200-22-222-2-2-220-2-22002-200002-2000000000002-200002i−2i−2i2i0000002i−2i2i−2i−2i−2i2i2i00000000000000000-2200000
χ4722-2-22200-22-222-2-2-220-2-22002-200002-2000000000002-20000−2i2i2i−2i000000−2i2i−2i2i2i2i−2i−2i00000000000000000-2200000
χ4822-2-22200-22-222-2-2-220-2-22002-200002-2000000000002-20000−2i2i−2i2i000000−2i2i−2i2i−2i−2i2i2i000000000000000002-200000
χ494444-2444-4-4-2-244-24-2-4-2-2-222-4-4-2-24422000000-4-2-222220000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-24-2-2-2-2-2-4-422-4-422000000422-2-2220000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-244-2-2-2-2-211111100000000000000000000000000-2-2111100000000000000
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-4-42222-21111110000000000000000000000000022-1-1-1-100000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-41112222-2-2-2-22200−2i32i3−2i32i3211-1-1-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-41112222-2-2-2-222002i3−2i32i3−2i3211-1-1-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-24-4-2-2222-1-1-1-11100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-2-4422-2-22-1-1-1-111000000000000000000000000002-2-1-11100000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-214111-2-22222222200−2i32i32i3−2i3-2-1-111-1-10000000000000000000000000000i3−i3−i3i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-214111-2-222222222002i3−2i3−2i32i3-2-1-111-1-10000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-444004-4-444-4-4-440-4-4400-440000-4400000000000-440000000000000000000000000000000000000000000000
χ6044-4-44-2004-4-44-22-42-2022-2002-20000-44000000000002-20000000000000023−23−23230000000000000000000000000000
χ6144-4-44-2004-4-44-22-42-2022-2002-20000-44000000000002-200000000000000−232323−230000000000000000000000000000
χ6244-4-44-200-44-44-22-42-2022-200-2200004-400000000000-2200004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ6344-4-44-200-44-44-22-42-2022-200-2200004-400000000000-220000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ6444-4-4-24004-42-24-42-4-2022-200-4400002-2000000000002-200000000000000000000002323−23−2300000000000000000000
χ6544-4-4-24004-42-24-42-4-2022-200-4400002-2000000000002-20000000000000000000000−23−23232300000000000000000000
χ6644-4-4-2400-442-24-42-4-2022-2004-40000-2200000000000-220000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ6744-4-4-2400-442-24-42-4-2022-2004-40000-2200000000000-22000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ684-44-44400004-4-44-4-4404-4-4000000000000000000000000000000022−2200000000000022−2222−2200000000000000000000
χ694-44-44400004-4-44-4-4404-4-40000000000000000000000000000000−2222000000000000−2222−222200000000000000000000
χ704-44-4-240000-22-442-4-20-222−2i32i300000000000000000−2i32i3000000000022−2200000000i6−i6i6−i6−22−2200000000000000000000
χ714-44-4-240000-22-442-4-20-222−2i32i300000000000000000−2i32i30000000000−222200000000−i6i6−i6i62−22−200000000000000000000
χ724-44-4-240000-22-442-4-20-2222i3−2i3000000000000000002i3−2i3000000000022−2200000000−i6i6−i6i6−22−2200000000000000000000
χ734-44-4-240000-22-442-4-20-2222i3−2i3000000000000000002i3−2i30000000000−222200000000i6−i6i6−i62−22−200000000000000000000
χ744-4-44444-400-4-4-4-44440-44-400004-44-40000000004-400000000000000000000000000000000000000000000000000
χ754-4-4444-4400-4-4-4-44440-44-40000-44-44000000000-4400000000000000000000000000000000000000000000000000
χ764-4-444-24-400-4-4224-2-202-2200004-4-22000000000-220000000000000023−2323−2300000000000000000000000000000000
χ774-4-444-24-400-4-4224-2-202-2200004-4-22000000000-2200000000000000−2323−232300000000000000000000000000000000
χ784-4-444-2-4400-4-4224-2-202-220000-442-20000000002-20000000000000023−23−232300000000000000000000000000000000
χ794-4-444-2-4400-4-4224-2-202-220000-442-20000000002-200000000000000−232323−2300000000000000000000000000000000
χ804-4-44-244-40022-4-4-24-202-220000-224-4000000000-2200000000000000000000006−6−666−6−6600000000000000000000
χ814-4-44-244-40022-4-4-24-202-220000-224-4000000000-220000000000000000000000−666−6−666−600000000000000000000
χ824-4-44-24-440022-4-4-24-202-2200002-2-440000000002-200000000000000000000006−6−66−666−600000000000000000000
χ834-4-44-24-440022-4-4-24-202-2200002-2-440000000002-20000000000000000000000−666−66−6−6600000000000000000000
χ8488-8-8-4-4008-84-4-444420-2-22004-400004-400000000000-220000000000000000000000000000000000000000000000
χ8588-8-8-4-400-884-4-444420-2-2200-440000-44000000000002-20000000000000000000000000000000000000000000000
χ868-88-88-400008-84-4-84-40-444000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-40000-444-444202-2-2−4i34i3000000000000000002i3−2i3000000000000000000000000000000000000000000000000
χ888-88-8-4-40000-444-444202-2-24i3−4i300000000000000000−2i32i3000000000000000000000000000000000000000000000000
χ898-8-88-4-48-8004444-4-420-22-20000-44-440000000002-200000000000000000000000000000000000000000000000000
χ908-8-88-4-4-88004444-4-420-22-200004-44-4000000000-2200000000000000000000000000000000000000000000000000

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