Finite Group Databasebeta

← Group #11897572

Character table — Group #11897572

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order122233444466666634666121212121212121212124412121212121212121212122244446666888812121212242424242424242412121212121244412121212221212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-111-1-1-1-1-1-111-1-1-1
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
χ51111111111111111111111111111111-1-11-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111-1-11-1-1
χ61111111111111111111111111111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111
χ71111111111111111111111111111111-1-11-1-1-1-1111111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ81111111111111111111111111111111-1-11-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1
χ9111111-1-1111111111-111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1111-11-1111111-1-111-1-11111-1-1-1-11-111-1-1-11-1-1-11-1111-1-11-1
χ10111111-1-1111111111-111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1111-11-11111-1-11111-1-1-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-111-11
χ11111111-1-1111111111-111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1111111-1-1-1-11-111-1-111-111-11-1-11-11-11
χ12111111-1-1111111111-111111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1-1-1-111111-111-1-11-1111-1111-11-11-1
χ13111111-1-1111111111-111111-1-1-1-1-1-111-11-1-1-11111-1-1-1-111-11-11111111-1-1-1-1111111-1-1-1-1-11-1-111-1-11-1-1-1111-11-1-11
χ14111111-1-1111111111-111111-1-1-1-1-1-111-11-1-1-11111-1-1-1-111-11-111111-1-111-1-111-1-1-1-11111-11-1-111-11-1-1-1-11-1-11-111-1
χ15111111-1-1111111111-111111-1-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-1111-11111-1-1-1-1111-1
χ16111111-1-1111111111-111111-1-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-11-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-11111-1111-1111-1-1-11
χ1722222222-2-22222222-2222-2-2-2-22222-2-200-20000-2-222-2-20022-2-20000000022220000000000000000000-2-20000000
χ1822222222-2-22222222-2222-2-2-2-22222-2-200-20000-2-222-2-200-2-22200000000-2-2-2-20000000000000000000220000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-20020000-2-2-2-222002-2-220000000022-2-20000000000000000000-220000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-20020000-2-2-2-22200-222-200000000-2-22200000000000000000002-20000000
χ2122222-122222-12-12-1-12-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000-1-1-1-10000000022-1-1-1-1200-1-1-1-10000000
χ2222222-122222-12-12-1-12-1-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000011110000000022-1-1-1-1-20011110000000
χ2322222-122222-12-12-1-12-1-1-1-1-12222-1-122-2-2-11111-1-1-1-1-1-122-2-2-2-2-1-1-1-10000111100000000-2-21111200-1-1110000000
χ2422222-122222-12-12-1-12-1-1-1-1-12222-1-122-2-2-11111-1-1-1-1-1-1-2-2222211110000-1-1-1-100000000-2-21111-20011-1-10000000
χ2522222-122-2-22-12-12-1-1-2-1-1-111-2-222-1-1-2-2001−i3i3−i3i311-1-1110022-2-2−i3−i3i3i30000-1-1-1-10000000000−i3i3−i3i3000−i3i3110000000
χ2622222-122-2-22-12-12-1-1-2-1-1-111-2-222-1-1-2-2001−i3i3−i3i311-1-11100-2-222i3i3−i3−i3000011110000000000−i3i3−i3i3000i3−i3-1-10000000
χ2722222-122-2-22-12-12-1-1-2-1-1-111-2-222-1-1-2-2001i3−i3i3−i311-1-1110022-2-2i3i3−i3−i30000-1-1-1-10000000000i3−i3i3−i3000i3−i3110000000
χ2822222-122-2-22-12-12-1-1-2-1-1-111-2-222-1-1-2-2001i3−i3i3−i311-1-11100-2-222−i3−i3i3i3000011110000000000i3−i3i3−i3000−i3i3-1-10000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-1-1-1-2-2-2-211222-21-1-111-1-11111222-22-2-1-1-1-10000-1-111000000002-2-1-111-20011-110000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-1-1-1-2-2-2-211222-21-1-111-1-11111-2-2-22-221111000011-1-1000000002-2-1-111200-1-11-10000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-1-1-1-2-2-2-21122-22111-1-1-1-1111122-22-22-1-1-1-1000011-1-100000000-2211-1-1-200111-10000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-1-1-1-2-2-2-21122-22111-1-1-1-11111-2-22-22-211110000-1-11100000000-2211-1-1200-1-1-110000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-200-1−i3i3i3−i31111-1-1002-2-22−i3−i3i3i30000-1-1110000000000−i3i3i3−i3000i3−i31-10000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-200-1−i3i3i3−i31111-1-100-222-2i3i3−i3−i3000011-1-10000000000−i3i3i3−i3000−i3i3-110000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-200-1i3−i3−i3i31111-1-1002-2-22i3i3−i3−i30000-1-1110000000000i3−i3−i3i3000−i3i31-10000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-200-1i3−i3−i3i31111-1-100-222-2−i3−i3i3i3000011-1-10000000000i3−i3−i3i3000i3−i3-110000000
χ372222-122222-12-12-12-12-1-1-122-1-1-1-122-1-12222222-1-1-1-1-1-1000000000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ382222-122222-12-12-12-12-1-1-122-1-1-1-122-1-12222222-1-1-1-1-1-10000000000-2-2-2-2000011111111-1-1-1-1-1-10-2-200000011000
χ392222-122222-12-12-12-12-1-1-122-1-1-1-122-1-1-2-22-2-2-2-2-1-1-1-1-1-1000000000022220000-1-1-1-1-1-1-1-11111110-2-200000011000
χ402222-122222-12-12-12-12-1-1-122-1-1-1-122-1-1-2-22-2-2-2-2-1-1-1-1-1-10000000000-2-2-2-2000011111111111111022000000-1-1000
χ412222-12-2-222-12-12-12-1-2-1-1-1221111-2-2-1-12-2-222-2-2-1-11111000000000022-2-20000-1-1-1-11111-11-1-11102-2000000-11000
χ422222-12-2-222-12-12-12-1-2-1-1-1221111-2-2-1-12-2-222-2-2-1-111110000000000-2-22200001111-1-1-1-1-11-1-1110-220000001-1000
χ432222-12-2-222-12-12-12-1-2-1-1-1221111-2-2-1-1-22-2-2-222-1-11111000000000022-2-20000-1-1-1-111111-111-1-10-220000001-1000
χ442222-12-2-222-12-12-12-1-2-1-1-1221111-2-2-1-1-22-2-2-222-1-111110000000000-2-22200001111-1-1-1-11-111-1-102-2000000-11000
χ4522-2-222002-222-2-2-2-2202-2-22-20000002-200000002-200002-200002-22-22-200000022-2-2000000000000000002-200000
χ4622-2-222002-222-2-2-2-2202-2-22-20000002-200000002-200002-200002-22-2-22000000-2-22200000000000000000-2200000
χ4722-2-222002-222-2-2-2-2202-2-22-20000002-200000002-20000-220000-22-222-200000022-2-200000000000000000-2200000
χ4822-2-222002-222-2-2-2-2202-2-22-20000002-200000002-20000-220000-22-22-22000000-2-222000000000000000002-200000
χ494444-2444-4-4-24-24-24-2-4-2-2-2-4-422-2-2442200-4000022-2-2220000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-24-24-24-24-2-2-2-4-4-2-222-4-42200400002222-2-20000000000000000000000000000000000000000000000
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
χ524444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-4-4-222221111110000000000000000000000000022-1-1-1-100000000000000
χ534444-2-244-4-4-2-2-2-2-2-21-41112222-2-2-2-222002−2i32i3−2i32i3-1-111-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-41112222-2-2-2-2220022i3−2i32i3−2i3-1-111-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-4111-2-2222222-2-24-42-2-22211-1-1-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-4111-2-2222222-2-2-44222-2-211-1-1-1-1000000000000000000000000002-2-1-11100000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200-2−2i32i32i3−2i3-1-1-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-222222200-22i3−2i3−2i32i3-1-1-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-44400-4444-4-4-4-4404-4-4-44000000-440000000-4400000000000000000000000000000000000000000000000000
χ6044-4-44-2004-44-2-42-42-20-222-220000004-40000000-2200004-40000-22-22000000000000000000000000000000000000
χ6144-4-44-2004-44-2-42-42-20-222-220000004-40000000-220000-4400002-22-2000000000000000000000000000000000000
χ6244-4-44-200-444-2-42-42-20-2222-2000000-4400000002-20000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ6344-4-44-200-444-2-42-42-20-2222-2000000-4400000002-200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ6444-4-4-24004-4-242-42-4-20-2224-4000000-220000000-22000000000000004-4000000-2-222000000000000000000000000
χ6544-4-4-24004-4-242-42-4-20-2224-4000000-220000000-2200000000000000-4400000022-2-2000000000000000000000000
χ6644-4-4-2400-44-242-42-4-20-222-440000002-200000002-200000000000000000000000000−2i3−2i32i32i300000000000000000000
χ6744-4-4-2400-44-242-42-4-20-222-440000002-200000002-2000000000000000000000000002i32i3−2i3−2i300000000000000000000
χ684-44-4440000-4-444-4-440-4-4400000000000000000000000000000000000−2i22i200000000−2i22i2−2i22i200000000000000000000
χ694-44-4440000-4-444-4-440-4-44000000000000000000000000000000000002i2−2i2000000002i2−2i22i2−2i200000000000000000000
χ704-44-4-2400002-4-242-4-2022-200−2i32i300000000000000000−2i32i3000000000000−2i22i200006−66−6i2−i2i2−i200000000000000000000
χ714-44-4-2400002-4-242-4-2022-200−2i32i300000000000000000−2i32i30000000000002i2−2i20000−66−66−i2i2−i2i200000000000000000000
χ724-44-4-2400002-4-242-4-2022-2002i3−2i3000000000000000002i3−2i3000000000000−2i22i20000−66−66i2−i2i2−i200000000000000000000
χ734-44-4-2400002-4-242-4-2022-2002i3−2i3000000000000000002i3−2i30000000000002i2−2i200006−66−6−i2i2−i2i200000000000000000000
χ744-4-44444-400-4-4-4-44440-44-400004-44-4000000000004-4000000000000000000000000000000000000000000000000
χ754-4-4444-4400-4-4-4-44440-44-40000-44-4400000000000-44000000000000000000000000000000000000000000000000
χ764-4-444-24-400-42-424-2-202-2200004-4-2200000000000-22000000000000000023−2323−230000000000000000000000000000
χ774-4-444-24-400-42-424-2-202-2200004-4-2200000000000-220000000000000000−2323−23230000000000000000000000000000
χ784-4-444-2-4400-42-424-2-202-220000-442-2000000000002-2000000000000000023−23−23230000000000000000000000000000
χ794-4-444-2-4400-42-424-2-202-220000-442-2000000000002-20000000000000000−232323−230000000000000000000000000000
χ804-4-44-244-4002-42-4-24-202-220000-224-400000000000-22000000000000000000006−6−666−6−6600000000000000000000
χ814-4-44-244-4002-42-4-24-202-220000-224-400000000000-2200000000000000000000−666−6−666−600000000000000000000
χ824-4-44-24-44002-42-4-24-202-2200002-2-44000000000002-2000000000000000000006−6−66−666−600000000000000000000
χ834-4-44-24-44002-42-4-24-202-2200002-2-44000000000002-200000000000000000000−666−66−6−6600000000000000000000
χ8488-8-8-4-4008-8-4-44444202-2-2-44000000-4400000002-200000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88-4-44444202-2-24-40000004-40000000-2200000000000000000000000000000000000000000000000000
χ868-88-88-40000-848-4-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4000044-4-44420-2-2200−4i34i3000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ888-88-8-4-4000044-4-44420-2-22004i3−4i300000000000000000−2i32i30000000000000000000000000000000000000000000000
χ898-8-88-4-48-8004444-4-420-22-20000-44-44000000000002-2000000000000000000000000000000000000000000000000
χ908-8-88-4-4-88004444-4-420-22-200004-44-400000000000-22000000000000000000000000000000000000000000000000

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