Finite Group Databasebeta

← Group #11897669

Character table — Group #11897669

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order1222334444666666346661212121212121212121244121212121212121212121244444488881212121212121212242424242424242412121212121244412121212221212488
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
χ51111111111111111111111111111111-1-11-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11-1-111-1-111-1-11-1-1
χ61111111111111111111111111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111
χ71111111111111111111111111111111-1-11-1-1-1-1111111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
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
χ9111111-1-1111111111-1111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1111-11-111-1-1111111-1-11111-1-1-1-11-111-1-1-11-1-1-11-1111-1-11-1
χ10111111-1-1111111111-1111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1111-11-1-1-111111111-1-1-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-111-11
χ11111111-1-1111111111-1111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-111-111-11-1-11-11-11
χ12111111-1-1111111111-1111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-11-1111-1111-11-11-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111-11-1-1-11111-1-1-1-111-11-1111-1-11111-1-1111111-1-1-1-1-11-1-111-1-11-1-1-1111-11-1-11
χ14111111-1-1111111111-1111-1-111-1-1-1-111-11-1-1-11111-1-1-1-111-11-11-1-1111111-1-111-1-1-1-11111-11-1-111-11-1-1-1-11-1-11-111-1
χ15111111-1-1111111111-1111-1-111-1-1-1-111-11-1-1-11111-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-1111-11111-1-1-1-1111-1
χ16111111-1-1111111111-1111-1-111-1-1-1-111-11-1-1-11111-1-1-1-1-1-11-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1111-1111-1-1-11
χ1722222222-2-22222222-222222-2-222-2-2-2-200-20000-2-222-2-20022-2-20000000022220000000000000000000-2-20000000
χ1822222222-2-22222222-222222-2-222-2-2-2-200-20000-2-222-2-200-2-22200000000-2-2-2-20000000000000000000220000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-222-2-20020000-2-2-2-222002-2-220000000022-2-20000000000000000000-220000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-222-2-20020000-2-2-2-22200-222-200000000-2-22200000000000000000002-20000000
χ2122222-1222222-1-12-1-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-10000000
χ2222222-1222222-1-12-1-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-20000111111110000000022-1-1-1-1-20011110000000
χ2322222-1222222-1-12-1-12-1-1-122-1-1-1-12222-2-2-11111-1-1-1-1-1-122-2-2-2-20000-1-1-1-1111100000000-2-21111200-1-1110000000
χ2422222-1222222-1-12-1-12-1-1-122-1-1-1-12222-2-2-11111-1-1-1-1-1-1-2-2222200001111-1-1-1-100000000-2-21111-20011-1-10000000
χ2522222-122-2-222-1-12-1-1-2-1-1-12211-1-1-2-2-2-2001−i3i3−i3i311-1-1110022-2-20000−i3−i3i3i3-1-1-1-10000000000−i3i3−i3i3000−i3i3110000000
χ2622222-122-2-222-1-12-1-1-2-1-1-12211-1-1-2-2-2-2001−i3i3−i3i311-1-11100-2-2220000i3i3−i3−i311110000000000−i3i3−i3i3000i3−i3-1-10000000
χ2722222-122-2-222-1-12-1-1-2-1-1-12211-1-1-2-2-2-2001i3−i3i3−i311-1-1110022-2-20000i3i3−i3−i3-1-1-1-10000000000i3−i3i3−i3000i3−i3110000000
χ2822222-122-2-222-1-12-1-1-2-1-1-12211-1-1-2-2-2-2001i3−i3i3−i311-1-11100-2-2220000−i3−i3i3i311110000000000i3−i3i3−i3000−i3i3-1-10000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-111-2-2222-21-1-111-1-11111222-22-20000-1-1-1-1-1-111000000002-2-1-111-20011-110000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-111-2-2222-21-1-111-1-11111-2-2-22-220000111111-1-1000000002-2-1-111200-1-11-10000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-111-2-222-22111-1-1-1-1111122-22-220000-1-1-1-111-1-100000000-2211-1-1-200111-10000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-1-2-2-1-111-2-222-22111-1-1-1-11111-2-22-22-200001111-1-11100000000-2211-1-1200-1-1-110000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-200-1−i3i3i3−i31111-1-1002-2-220000−i3−i3i3i3-1-1110000000000−i3i3i3−i3000i3−i31-10000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-200-1−i3i3i3−i31111-1-100-222-20000i3i3−i3−i311-1-10000000000−i3i3i3−i3000−i3i3-110000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-200-1i3−i3−i3i31111-1-1002-2-220000i3i3−i3−i3-1-1110000000000i3−i3−i3i3000−i3i31-10000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-200-1i3−i3−i3i31111-1-100-222-20000−i3−i3i3i311-1-10000000000i3−i3−i3i3000i3−i3-110000000
χ372222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-12222222-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ382222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-12222222-1-1-1-1-1-1000000-2-2-2-20000000011111111-1-1-1-1-1-10-2-200000011000
χ392222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-1-2-22-2-2-2-2-1-1-1-1-1-1000000222200000000-1-1-1-1-1-1-1-11111110-2-200000011000
χ402222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-1-2-22-2-2-2-2-1-1-1-1-1-1000000-2-2-2-20000000011111111111111022000000-1-1000
χ412222-12-2-222-1-122-12-1-2-1-1-11122-2-211-1-12-2-222-2-2-1-1111100000022-2-200000000-1-1-1-11111-11-1-11102-2000000-11000
χ422222-12-2-222-1-122-12-1-2-1-1-11122-2-211-1-12-2-222-2-2-1-11111000000-2-222000000001111-1-1-1-1-11-1-1110-220000001-1000
χ432222-12-2-222-1-122-12-1-2-1-1-11122-2-211-1-1-22-2-2-222-1-1111100000022-2-200000000-1-1-1-111111-111-1-10-220000001-1000
χ442222-12-2-222-1-122-12-1-2-1-1-11122-2-211-1-1-22-2-2-222-1-11111000000-2-222000000001111-1-1-1-11-111-1-102-2000000-11000
χ4522-2-222002-22-22-2-2-2202-2-2002-200002-200000002-200002-200002-2002-22-2000022-2-2000000000000000002-200000
χ4622-2-222002-22-22-2-2-2202-2-2002-200002-200000002-200002-20000-22002-22-20000-2-22200000000000000000-2200000
χ4722-2-222002-22-22-2-2-2202-2-2002-200002-200000002-20000-2200002-200-22-22000022-2-200000000000000000-2200000
χ4822-2-222002-22-22-2-2-2202-2-2002-200002-200000002-20000-220000-2200-22-220000-2-222000000000000000002-200000
χ494444-2444-4-4-2-244-24-2-4-2-2-2-2-2-4-444222200-4000022-2-2220000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-24-24-2-2-222-4-4-4-4-2-22200400002222-2-20000000000000000000000000000000000000000000000
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
χ534444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-22222002−2i32i3−2i32i3-1-111-1-10000000000000000000000000000i3−i3i3−i300000000000000
χ544444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-222220022i3−2i32i3−2i3-1-111-1-10000000000000000000000000000−i3i3−i3i300000000000000
χ554444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-24-42-2-22211-1-1-1-100000000000000000000000000-2211-1-100000000000000
χ564444-2-2-4-444-2-2-2-2-2-21-411122-2-22222-2-2-44222-2-211-1-1-1-1000000000000000000000000002-2-1-11100000000000000
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
χ5944-4-44400-444-44-4-4-4404-4-400-440000-440000000-4400000000000000000000000000000000000000000000000000
χ6044-4-44-2004-44-4-22-42-20-22200-2200004-40000000-2200004-400000000-22-2200000000000000000000000000000000
χ6144-4-44-2004-44-4-22-42-20-22200-2200004-40000000-220000-44000000002-22-200000000000000000000000000000000
χ6244-4-44-200-444-4-22-42-20-222002-20000-4400000002-200000000000000−2i32i32i3−2i300000000000000000000000000000000
χ6344-4-44-200-444-4-22-42-20-222002-20000-4400000002-2000000000000002i3−2i3−2i32i300000000000000000000000000000000
χ6444-4-4-24004-4-224-42-4-20-222004-40000-220000000-2200000000004-40000000000-2-222000000000000000000000000
χ6544-4-4-24004-4-224-42-4-20-222004-40000-220000000-220000000000-44000000000022-2-2000000000000000000000000
χ6644-4-4-2400-44-224-42-4-20-22200-4400002-200000002-200000000000000000000000000−2i3−2i32i32i300000000000000000000
χ6744-4-4-2400-44-224-42-4-20-22200-4400002-200000002-2000000000000000000000000002i32i3−2i3−2i300000000000000000000
χ684-44-4444-400-44-44-4-440-44-44-4004-400000000000004-4000000000000000000000000000000000000000000000000
χ694-44-444-4400-44-44-4-440-44-4-4400-440000000000000-44000000000000000000000000000000000000000000000000
χ704-44-44-24-400-442-2-42-202-224-400-220000000000000-220000000000000000−2i32i3−2i32i30000000000000000000000000000
χ714-44-44-24-400-442-2-42-202-224-400-220000000000000-2200000000000000002i3−2i32i3−2i30000000000000000000000000000
χ724-44-44-2-4400-442-2-42-202-22-44002-200000000000002-20000000000000000−2i32i32i3−2i30000000000000000000000000000
χ734-44-44-2-4400-442-2-42-202-22-44002-200000000000002-200000000000000002i3−2i3−2i32i30000000000000000000000000000
χ744-44-4-244-4002-2-442-4-202-22-22004-40000000000000-2200000000000000000000i6−i6i6−i6i6−i6i6−i600000000000000000000
χ754-44-4-244-4002-2-442-4-202-22-22004-40000000000000-2200000000000000000000−i6i6−i6i6−i6i6−i6i600000000000000000000
χ764-44-4-24-44002-2-442-4-202-222-200-4400000000000002-200000000000000000000i6−i6i6−i6−i6i6−i6i600000000000000000000
χ774-44-4-24-44002-2-442-4-202-222-200-4400000000000002-200000000000000000000−i6i6−i6i6i6−i6i6−i600000000000000000000
χ784-4-44440000-4-4-4-44440-4-44000000000000000000000000000000022−2200000000000022−22−222200000000000000000000
χ794-4-44440000-4-4-4-44440-4-440000000000000000000000000000000−2222000000000000−222222−2200000000000000000000
χ804-4-44-24000022-4-4-24-2022-2000000−2i32i30000000000000−2i32i30000000022−2200000000i6−i6−i6i6−222−200000000000000000000
χ814-4-44-24000022-4-4-24-2022-2000000−2i32i30000000000000−2i32i300000000−222200000000−i6i6i6−i62−2−2200000000000000000000
χ824-4-44-24000022-4-4-24-2022-20000002i3−2i300000000000002i3−2i30000000022−2200000000−i6i6i6−i6−222−200000000000000000000
χ834-4-44-24000022-4-4-24-2022-20000002i3−2i300000000000002i3−2i300000000−222200000000i6−i6−i6i62−2−2200000000000000000000
χ8488-8-8-4-4008-8-44-4444202-2-200-440000-4400000002-200000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-88-44-4444202-2-2004-400004-40000000-2200000000000000000000000000000000000000000000000000
χ868-88-8-4-48-8004-44-44420-22-2-4400-4400000000000002-2000000000000000000000000000000000000000000000000
χ878-88-8-4-4-88004-44-44420-22-24-4004-40000000000000-22000000000000000000000000000000000000000000000000
χ888-8-888-40000-8-8448-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-420-2-22000000−4i34i300000000000002i3−2i30000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-420-2-220000004i3−4i30000000000000−2i32i30000000000000000000000000000000000000000000000

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