Finite Group Databasebeta

← Group #11895978

Character table — Group #11895978

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12223344446666663466612121212121212121212441212121212121212121212444444888812121212121212122424242424242424121212121212224121212124466288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-111-1-1-1
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
χ51111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ71111111111111111111111111111111-1-1-1-1-1-11111111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111-1-1
χ9111111-1-1111111111-1111-1-1-1-111-1-1111-111-1-1-111-1-1-1-1111-11-111-1-1111111-1-11111-1-1-1-11-111-1-11-1-11-1-1-1111-1-11-1
χ10111111-1-1111111111-1111-1-1-1-111-1-1111-111-1-1-111-1-1-1-1111-11-1-1-111111111-1-1-1-1-1-111111-111-1-1-11-11-1-1-1-1-1-111-11
χ11111111-1-1111111111-1111-1-1-1-111-1-1111-111-1-1-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-1111-1-11-11-11
χ12111111-1-1111111111-1111-1-1-1-111-1-1111-111-1-1-111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-111111-11-11-1
χ13111111-1-1111111111-1111-1-1-1-111-1-111-11-1-111-111-1-1-1-111-11-1111-1-11111-1-1111111-1-1-1-1-11-1-111-11-1-11-1-111-11-1-11
χ14111111-1-1111111111-1111-1-1-1-111-1-111-11-1-111-111-1-1-1-111-11-11-1-1111111-1-111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-11-111-1
χ15111111-1-1111111111-1111-1-1-1-111-1-111-11-1-111-111-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1111-111-1-1-1111-1
χ16111111-1-1111111111-1111-1-1-1-111-1-111-11-1-111-111-1-1-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-11-1-1111-111-111111-1-1-11
χ1722222222-2-22222222-2222-2-222-2-222-2-2000000-2-2-2-2-2220022-2-200000000222200000000000000000-2-2000000000
χ1822222222-2-22222222-2222-2-222-2-222-2-2000000-2-2-2-2-22200-2-22200000000-2-2-2-20000000000000000022000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-20000002-2-222-2-2002-2-220000000022-2-200000000000000000-22000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-20000002-2-222-2-200-222-200000000-2-222000000000000000002-2000000000
χ2122222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-12222222-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000-1-1000
χ2222222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-12222222-1-1-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-1-2-2000000011000
χ2322222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-22-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1111111-2-2000000011000
χ2422222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-1-2-2-2-2-2-22-1-1-1-1-1-1000000-2-2-2-20000000011111111111111220000000-1-1000
χ2522222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-12-222-2-2-2-1-1111100000022-2-200000000-1-1-1-11111-11-1-1112-20000000-11000
χ2622222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-12-222-2-2-2-1-11111000000-2-222000000001111-1-1-1-1-11-1-111-2200000001-1000
χ2722222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-1-22-2-222-2-1-1111100000022-2-200000000-1-1-1-111111-111-1-1-2200000001-1000
χ2822222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-1-22-2-222-2-1-11111000000-2-222000000001111-1-1-1-11-111-1-12-20000000-11000
χ292222-122222222-1-1-1-12-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1002-1-1-1-10000000
χ302222-122222222-1-1-1-12-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-100-211110000000
χ312222-122222222-1-1-1-12-1-1-12222-1-1-1-122-2-21111-1-1-1-1-1-1-122-2-2-2-20000-1-1-1-1111100000000-2-2111100211-1-10000000
χ322222-122222222-1-1-1-12-1-1-12222-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-2222200001111-1-1-1-100000000-2-2111100-2-1-1110000000
χ332222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-200−i3i3−i3i311111-1-10022-2-20000−i3−i3i3i3-1-1-1-10000000000−i3i3−i3i300011−i3i30000000
χ342222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-200−i3i3−i3i311111-1-100-2-2220000i3i3−i3−i311110000000000−i3i3−i3i3000-1-1i3−i30000000
χ352222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-200i3−i3i3−i311111-1-10022-2-20000i3i3−i3−i3-1-1-1-10000000000i3−i3i3−i300011i3−i30000000
χ362222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-200i3−i3i3−i311111-1-100-2-2220000−i3−i3i3i311110000000000i3−i3i3−i3000-1-1−i3i30000000
χ372222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-111222-2-1-1111-1-11111222-22-20000-1-1-1-1-1-111000000002-2-1-11100-2-11110000000
χ382222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-111222-2-1-1111-1-11111-2-2-22-220000111111-1-1000000002-2-1-1110021-1-1-10000000
χ392222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-11122-2211-1-11-1-1111122-22-220000-1-1-1-111-1-100000000-2211-1-100-21-1110000000
χ402222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-11122-2211-1-11-1-11111-2-22-22-200001111-1-11100000000-2211-1-1002-11-1-10000000
χ412222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-200−i3i3i3−i3-111-1-111002-2-220000−i3−i3i3i3-1-1110000000000−i3i3i3−i30001-1i3−i30000000
χ422222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-200−i3i3i3−i3-111-1-11100-222-20000i3i3−i3−i311-1-10000000000−i3i3i3−i3000-11−i3i30000000
χ432222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-200i3−i3−i3i3-111-1-111002-2-220000i3i3−i3−i3-1-1110000000000i3−i3−i3i30001-1−i3i30000000
χ442222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-200i3−i3−i3i3-111-1-11100-222-20000−i3−i3i3i311-1-10000000000i3−i3−i3i3000-11i3−i30000000
χ4522-2-22200-222-2-22-2-2202-2-200002-2002-200000002-200002-200002i−2i002-22-200002i2i−2i−2i000000000000000002i−2i00000
χ4622-2-22200-222-2-22-2-2202-2-200002-2002-200000002-200002-20000−2i2i002-22-20000−2i−2i2i2i00000000000000000−2i2i00000
χ4722-2-22200-222-2-22-2-2202-2-200002-2002-200000002-20000-2200002i−2i00-22-2200002i2i−2i−2i00000000000000000−2i2i00000
χ4822-2-22200-222-2-22-2-2202-2-200002-2002-200000002-20000-220000−2i2i00-22-220000−2i−2i2i2i000000000000000002i−2i00000
χ4944444-244-4-4-2-2-2444-2-4-2-2-222-2-2-4-44422000000-42222-2-20000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2-2-2444-24-2-2-2-2-222-4-4-4-422000000422-2-2220000000000000000000000000000000000000000000000
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
χ534444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-22200−2i32i3−2i32i32-1-1-1-1110000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-222002i3−2i32i3−2i32-1-1-1-1110000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-24-4-2-222211-1-1-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2-4422-2-2211-1-1-1-1000000000000000000000000002-2-1-11100000000000000
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
χ5944-4-444004-44-4-44-4-4404-4-40000-4400-440000000-4400000000000000000000000000000000000000000000000000
χ6044-4-44-2004-4-2224-4-4-20-2220000-44002-200000002-2000000000000000000000000002323−23−2300000000000000000000
χ6144-4-44-2004-4-2224-4-4-20-2220000-44002-200000002-200000000000000000000000000−23−23232300000000000000000000
χ6244-4-44-200-44-2224-4-4-20-22200004-400-220000000-2200000000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ6344-4-44-200-44-2224-4-4-20-22200004-400-220000000-220000000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ6444-4-4-24004-44-4-4-222-20-22200002-200-4400000002-200000000000000−2i32i32i3−2i300000000000000000000000000000000
χ6544-4-4-24004-44-4-4-222-20-22200002-200-4400000002-2000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ6644-4-4-2400-444-4-4-222-20-2220000-22004-40000000-2200004-400000000-22-2200000000000000000000000000000000
χ6744-4-4-2400-444-4-4-222-20-2220000-22004-40000000-220000-44000000002-22-200000000000000000000000000000000
χ684-44-4440000-44-4-4-4440-44-40000000000000000000000000000000−2i22i2000000000000−2i22i2−2i22i200000000000000000000
χ694-44-4440000-44-4-4-4440-44-400000000000000000000000000000002i2−2i20000000000002i2−2i22i2−2i200000000000000000000
χ704-44-44-200002-22-4-44-202-22−2i32i300000000000000000−2i32i30000000000−2i22i2000000006−66−6i2−i2i2−i200000000000000000000
χ714-44-44-200002-22-4-44-202-22−2i32i300000000000000000−2i32i300000000002i2−2i200000000−66−66−i2i2−i2i200000000000000000000
χ724-44-44-200002-22-4-44-202-222i3−2i3000000000000000002i3−2i30000000000−2i22i200000000−66−66i2−i2i2−i200000000000000000000
χ734-44-44-200002-22-4-44-202-222i3−2i3000000000000000002i3−2i300000000002i2−2i2000000006−66−6−i2i2−i2i200000000000000000000
χ744-4-44444-400-4-44-44-440-4-44004-4004-400000000000004-40000000000000000000000000000000000000000000000
χ754-4-4444-4400-4-44-44-440-4-4400-4400-440000000000000-440000000000000000000000000000000000000000000000
χ764-4-444-24-40022-2-44-4-2022-200-22004-40000000000000-22000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000
χ774-4-444-24-40022-2-44-4-2022-200-22004-40000000000000-22000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000
χ784-4-444-2-440022-2-44-4-2022-2002-200-4400000000000002-2000000000000000000i6−i6−i6i6−i6i6i6−i600000000000000000000
χ794-4-444-2-440022-2-44-4-2022-2002-200-4400000000000002-2000000000000000000−i6i6i6−i6i6−i6−i6i600000000000000000000
χ804-4-44-244-400-4-442-22-2022-2004-400-220000000000000-220000000000000023−2323−230000000000000000000000000000
χ814-4-44-244-400-4-442-22-2022-2004-400-220000000000000-2200000000000000−2323−23230000000000000000000000000000
χ824-4-44-24-4400-4-442-22-2022-200-44002-200000000000002-20000000000000023−23−23230000000000000000000000000000
χ834-4-44-24-4400-4-442-22-2022-200-44002-200000000000002-200000000000000−232323−230000000000000000000000000000
χ8488-8-8-4-4008-8-444-444202-2-200004-4004-40000000-2200000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88-444-444202-2-20000-4400-4400000002-200000000000000000000000000000000000000000000000000
χ868-88-8-480000-88-844-4-404-44000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-4444-420-22-2−4i34i3000000000000000002i3−2i3000000000000000000000000000000000000000000000000
χ888-88-8-4-400004-4444-420-22-24i3−4i300000000000000000−2i32i3000000000000000000000000000000000000000000000000
χ898-8-88-4-48-80044-44-4420-2-2200-4400-4400000000000002-20000000000000000000000000000000000000000000000
χ908-8-88-4-4-880044-44-4420-2-22004-4004-40000000000000-220000000000000000000000000000000000000000000000

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