Finite Group Databasebeta

← Group #11897674

Character table — Group #11897674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order122233444466666634666121212121212121212124412121212121212121212122244446666888812121212242424242424242412121212121244412121212441212488
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
χ1722222222-2-22222222-2222-2-22222-2-2-2-200-20000-2-222-2-20022-2-200000000-2-2-2-20000000000000000000220000000
χ1822222222-2-22222222-2222-2-22222-2-2-2-200-20000-2-222-2-200-2-2220000000022220000000000000000000-2-20000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-222-2-20020000-2-2-2-222002-2-2200000000-2-22200000000000000000002-20000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-222-2-20020000-2-2-2-22200-222-20000000022-2-20000000000000000000-220000000
χ2122222-1222222-1-1-12-12-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-10000-1-1-1-10000000022-1-1-1-1200-1-1-1-10000000
χ2222222-1222222-1-1-12-12-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000011110000000022-1-1-1-1-20011110000000
χ2322222-1222222-1-1-12-12-1-1-1-1-122-1-12222-2-2-11111-1-1-1-1-1-122-2-2-2-2-1-1-1-10000111100000000-2-21111200-1-1110000000
χ2422222-1222222-1-1-12-12-1-1-1-1-122-1-12222-2-2-11111-1-1-1-1-1-1-2-2222211110000-1-1-1-100000000-2-21111-20011-1-10000000
χ2522222-122-2-222-1-1-12-1-2-1-1-11122-1-1-2-2-2-2001−i3i3−i3i311-1-1110022-2-2−i3−i3i3i3000011110000000000−i3i3−i3i3000−i3i3-1-10000000
χ2622222-122-2-222-1-1-12-1-2-1-1-11122-1-1-2-2-2-2001−i3i3−i3i311-1-11100-2-222i3i3−i3−i30000-1-1-1-10000000000−i3i3−i3i3000i3−i3110000000
χ2722222-122-2-222-1-1-12-1-2-1-1-11122-1-1-2-2-2-2001i3−i3i3−i311-1-1110022-2-2i3i3−i3−i3000011110000000000i3−i3i3−i3000i3−i3-1-10000000
χ2822222-122-2-222-1-1-12-1-2-1-1-11122-1-1-2-2-2-2001i3−i3i3−i311-1-11100-2-222−i3−i3i3i30000-1-1-1-10000000000i3−i3i3−i3000−i3i3110000000
χ2922222-1-2-22222-1-1-12-1-2-1-1-1-1-1-2-211-2-2222-21-1-111-1-11111222-22-2-1-1-1-10000-1-111000000002-2-1-111-20011-110000000
χ3022222-1-2-22222-1-1-12-1-2-1-1-1-1-1-2-211-2-2222-21-1-111-1-11111-2-2-22-221111000011-1-1000000002-2-1-111200-1-11-10000000
χ3122222-1-2-22222-1-1-12-1-2-1-1-1-1-1-2-211-2-222-22111-1-1-1-1111122-22-22-1-1-1-1000011-1-100000000-2211-1-1-200111-10000000
χ3222222-1-2-22222-1-1-12-1-2-1-1-1-1-1-2-211-2-222-22111-1-1-1-11111-2-22-22-211110000-1-11100000000-2211-1-1200-1-1-110000000
χ3322222-1-2-2-2-222-1-1-12-12-1-1-111-2-21122-2-200-1−i3i3i3−i31111-1-1002-2-22−i3−i3i3i3000011-1-10000000000−i3i3i3−i3000i3−i3-110000000
χ3422222-1-2-2-2-222-1-1-12-12-1-1-111-2-21122-2-200-1−i3i3i3−i31111-1-100-222-2i3i3−i3−i30000-1-1110000000000−i3i3i3−i3000−i3i31-10000000
χ3522222-1-2-2-2-222-1-1-12-12-1-1-111-2-21122-2-200-1i3−i3−i3i31111-1-1002-2-22i3i3−i3−i3000011-1-10000000000i3−i3−i3i3000−i3i3-110000000
χ3622222-1-2-2-2-222-1-1-12-12-1-1-111-2-21122-2-200-1i3−i3−i3i31111-1-100-222-2−i3−i3i3i30000-1-1110000000000i3−i3−i3i3000i3−i31-10000000
χ372222-122222-1-1222-1-12-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-1000000000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ382222-122222-1-1222-1-12-1-1-122-1-122-1-1-1-12222222-1-1-1-1-1-10000000000-2-2-2-2000011111111-1-1-1-1-1-10-2-200000011000
χ392222-122222-1-1222-1-12-1-1-122-1-122-1-1-1-1-2-22-2-2-2-2-1-1-1-1-1-1000000000022220000-1-1-1-1-1-1-1-11111110-2-200000011000
χ402222-122222-1-1222-1-12-1-1-122-1-122-1-1-1-1-2-22-2-2-2-2-1-1-1-1-1-10000000000-2-2-2-2000011111111111111022000000-1-1000
χ412222-12-2-222-1-1222-1-1-2-1-1-12211-2-211-1-12-2-222-2-2-1-11111000000000022-2-20000-1-1-1-11111-11-1-11102-2000000-11000
χ422222-12-2-222-1-1222-1-1-2-1-1-12211-2-211-1-12-2-222-2-2-1-111110000000000-2-22200001111-1-1-1-1-11-1-1110-220000001-1000
χ432222-12-2-222-1-1222-1-1-2-1-1-12211-2-211-1-1-22-2-2-222-1-11111000000000022-2-20000-1-1-1-111111-111-1-10-220000001-1000
χ442222-12-2-222-1-1222-1-1-2-1-1-12211-2-211-1-1-22-2-2-222-1-111110000000000-2-22200001111-1-1-1-11-111-1-102-2000000-11000
χ452-22-222002-22-22-2-2-2202-2-22-20000002-200000002-200002-200002-22-22-200000022-2-2000000000000000002-200000
χ462-22-222002-22-22-2-2-2202-2-22-20000002-200000002-200002-200002-22-2-22000000-2-22200000000000000000-2200000
χ472-22-222002-22-22-2-2-2202-2-22-20000002-200000002-20000-220000-22-222-200000022-2-200000000000000000-2200000
χ482-22-222002-22-22-2-2-2202-2-22-20000002-200000002-20000-220000-22-22-22000000-2-222000000000000000002-200000
χ494444-2444-4-4-2-2444-2-2-4-2-2-2-4-4-2-244222200-4000022-2-2220000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-2444-2-24-2-2-2-4-422-4-4-2-22200400002222-2-20000000000000000000000000000000000000000000000
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
χ534444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-22222002−2i32i3−2i32i3-1-111-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-411122-2-2-2-222220022i3−2i32i3−2i3-1-111-1-10000000000000000000000000000−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
χ574444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-22200-2−2i32i32i3−2i3-1-1-1-1110000000000000000000000000000i3−i3−i3i300000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-22200-22i3−2i3−2i32i3-1-1-1-1110000000000000000000000000000−i3i3i3−i300000000000000
χ5944-4-4444-400-44-4-44-440-44-4004-44-400000000000004-4000000000000000000000000000000000000000000000000
χ6044-4-444-4400-44-4-44-440-44-400-44-440000000000000-44000000000000000000000000000000000000000000000000
χ6144-4-44-24-400-4422-2-4-202-22004-4-220000000000000-22000000000000000023−2323−230000000000000000000000000000
χ6244-4-44-24-400-4422-2-4-202-22004-4-220000000000000-220000000000000000−2323−23230000000000000000000000000000
χ6344-4-44-2-4400-4422-2-4-202-2200-442-200000000000002-2000000000000000023−23−23230000000000000000000000000000
χ6444-4-44-2-4400-4422-2-4-202-2200-442-200000000000002-20000000000000000−232323−230000000000000000000000000000
χ6544-4-4-244-4002-2-4-442-202-2200-224-40000000000000-2200000000000000000000i6−i6i6−i6i6i6−i6−i600000000000000000000
χ6644-4-4-244-4002-2-4-442-202-2200-224-40000000000000-2200000000000000000000−i6i6−i6i6−i6−i6i6i600000000000000000000
χ6744-4-4-24-44002-2-4-442-202-22002-2-4400000000000002-200000000000000000000i6−i6i6−i6−i6−i6i6i600000000000000000000
χ6844-4-4-24-44002-2-4-442-202-22002-2-4400000000000002-200000000000000000000−i6i6−i6i6i6i6−i6−i600000000000000000000
χ694-44-44400-444-44-4-4-4404-4-4-44000000-440000000-4400000000000000000000000000000000000000000000000000
χ704-44-44-2004-44-4-222-4-20-222-220000004-40000000-2200004-40000-22-22000000000000000000000000000000000000
χ714-44-44-2004-44-4-222-4-20-222-220000004-40000000-220000-4400002-22-2000000000000000000000000000000000000
χ724-44-44-200-444-4-222-4-20-2222-2000000-4400000002-20000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ734-44-44-200-444-4-222-4-20-2222-2000000-4400000002-200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ744-44-4-24004-4-224-4-42-20-2224-4000000-220000000-22000000000000004-4000000-2-222000000000000000000000000
χ754-44-4-24004-4-224-4-42-20-2224-4000000-220000000-2200000000000000-4400000022-2-2000000000000000000000000
χ764-44-4-2400-44-224-4-42-20-222-440000002-200000002-200000000000000000000000000−2i32i3−2i32i300000000000000000000
χ774-44-4-2400-44-224-4-42-20-222-440000002-200000002-2000000000000000000000000002i3−2i32i3−2i300000000000000000000
χ784-4-44440000-4-4-44-4440-4-440000000000000000000000000000000000022−220000000022−22−222200000000000000000000
χ794-4-44440000-4-4-44-4440-4-4400000000000000000000000000000000000−222200000000−222222−2200000000000000000000
χ804-4-44-24000022-44-4-2-2022-2000000−2i32i30000000000000−2i32i300000000000022−220000i6−i6−i6i6−222−200000000000000000000
χ814-4-44-24000022-44-4-2-2022-2000000−2i32i30000000000000−2i32i3000000000000−22220000−i6i6i6−i62−2−2200000000000000000000
χ824-4-44-24000022-44-4-2-2022-20000002i3−2i300000000000002i3−2i300000000000022−220000−i6i6i6−i6−222−200000000000000000000
χ834-4-44-24000022-44-4-2-2022-20000002i3−2i300000000000002i3−2i3000000000000−22220000i6−i6−i6i62−2−2200000000000000000000
χ8488-8-8-4-48-8004-444-4420-22-200-44-4400000000000002-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-4-88004-444-4420-22-2004-44-40000000000000-22000000000000000000000000000000000000000000000000
χ868-88-8-4-4008-8-44-4444202-2-2-44000000-4400000002-200000000000000000000000000000000000000000000000000
χ878-88-8-4-400-88-44-4444202-2-24-40000004-40000000-2200000000000000000000000000000000000000000000000000
χ888-8-888-40000-8-84-448-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40000444-44-420-2-22000000−4i34i300000000000002i3−2i30000000000000000000000000000000000000000000000
χ908-8-88-4-40000444-44-420-2-220000004i3−4i30000000000000−2i32i30000000000000000000000000000000000000000000000

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