Finite Group Databasebeta

← Group #11866190

Character table — Group #11866190

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666223666881212121224242424224466662666666121224242424242422444488121212122424242466666226666812121224244444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-111111-11-1-1-1-1111111-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1111-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1111-1-11-1-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-11-1-1-111-1111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-1-1111-1-1-11111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-11111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-111-1
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-11
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-111-11
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111111-1-111-111-1-11-1
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1111-11111-111-1-1-11
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-111-11-1-1-1-11-1-1111-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-111-1-111-1-11-111111-1-11-11-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111111-1-111-1111-1-1-11-1-1-1-1-111-11-11
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000002-200-2-2220000000000000000-20000-2002000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-20000000000-2200-2-2-2-2000000000000000020000200-2000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-20022220000000000000000-20000200-2000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-20000000000-220022-2-2000000000000000020000-2002000
χ2122222-122-1-122-1222-1-1-1-1222-12-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-122000022-1-100-1-1-1-12-1-1-1-120-1-1-1-10000000000000
χ2222222-122-1-122-1222-1-1-1-1222-12-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-2-20000-2-2110011112-1-1-1-1-2011110000000000000
χ2322222-122-1-122-1222-1-1-1-1-2-22-12-111112222-1-1-1-1-222-1-111-1-1-2-21111220000-2-2-1-1001111-2-1-111-20-1-1110000000000000
χ2422222-122-1-122-1222-1-1-1-1-2-22-12-11111-2-2-2-21111-222-1-111-1-1-2-21111-2-20000221100-1-1-1-1-2-1-1112011-1-10000000000000
χ2522222-122-1-122-12-2-2-1-1-1-1222-12-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-2000022-1-100-1-1-1-1-21111-2011110000000000000
χ2622222-122-1-122-12-2-2-1-1-1-1222-12-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1220000-2-211001111-2111120-1-1-1-10000000000000
χ2722222-122-1-122-12-2-2-1-1-1-1-2-22-12-111112222-1-1-1-12-2-211-1-1-1-1-2-21111-2-20000-2-2-1-1001111211-1-12011-1-10000000000000
χ2822222-122-1-122-12-2-2-1-1-1-1-2-22-12-11111-2-2-2-211112-2-211-1-1-1-1-2-21111220000221100-1-1-1-1211-1-1-20-1-1110000000000000
χ292222-122222-1-12-122-1-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-10200002-1-1-1-1-10000-100
χ302222-122222-1-12-122-1-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-10-20000-2111110000100
χ312222-122222-1-12-122-1-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-11111110022220000-1-100001-1-1110-20000-2-1-1-1110000100
χ322222-122222-1-12-122-1-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-111111100-2-2-2-200001100001-1-1110200002111-1-10000-100
χ332222-122222-1-12-1-2-2-1-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-10022-2-2000011000011111020000-21-1-1110000-100
χ342222-122222-1-12-1-2-2-1-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-2-2220000-1-10000111110-200002-111-1-10000100
χ352222-122222-1-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-11111110022-2-20000110000-111-1-10-2000021-1-1-1-10000100
χ362222-122222-1-12-1-2-2-1-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-111111100-2-2220000-1-10000-111-1-1020000-2-111110000-100
χ372-22-2222-2-2-22-22-2002-2-220022-2-200002-22-222-2-200000002-2000000002i−2i00002-200000000000000000002i−2i0002i−2i0000
χ382-22-2222-2-2-22-22-2002-2-220022-2-200002-22-222-2-200000002-200000000−2i2i00002-20000000000000000000−2i2i000−2i2i0000
χ392-22-2222-2-2-22-22-2002-2-220022-2-20000-22-22-2-22200000002-2000000002i−2i0000-2200000000000000000002i−2i000−2i2i0000
χ402-22-2222-2-2-22-22-2002-2-220022-2-20000-22-22-2-22200000002-200000000−2i2i0000-220000000000000000000−2i2i0002i−2i0000
χ412-22-222-22-2-22-22-22-22-2-2200-2-22200002-2-2222-2-202-22-200-220000002-2000000-2200000002-200002-2000000000000000
χ422-22-222-22-2-22-22-22-22-2-2200-2-2220000-222-2-2-22202-22-200-22000000-220000002-200000002-20000-22000000000000000
χ432-22-222-22-2-22-22-2-222-2-2200-2-22200002-2-2222-2-20-22-2200-22000000-22000000-220000000-220000-22000000000000000
χ442-22-222-22-2-22-22-2-222-2-2200-2-2220000-222-2-2-2220-22-2200-220000002-20000002-20000000-2200002-2000000000000000
χ452-22-22-1-22112-2-1-22-2-111-100-212-1−i3−i3i3i32-2-22-1-11102-2-11−i3i31-100−i3−i3i3i32-20000001-100−i3−i3i3i30-11−i3i300-11−i3i30000000000000
χ462-22-22-1-22112-2-1-22-2-111-100-212-1−i3−i3i3i3-222-211-1-102-2-11−i3i31-100−i3−i3i3i3-22000000-1100i3i3−i3−i30-11−i3i3001-1i3−i30000000000000
χ472-22-22-1-22112-2-1-22-2-111-100-212-1i3i3−i3−i32-2-22-1-11102-2-11i3−i31-100i3i3−i3−i32-20000001-100i3i3−i3−i30-11i3−i300-11i3−i30000000000000
χ482-22-22-1-22112-2-1-22-2-111-100-212-1i3i3−i3−i3-222-211-1-102-2-11i3−i31-100i3i3−i3−i3-22000000-1100−i3−i3i3i30-11i3−i3001-1−i3i30000000000000
χ492-22-22-1-22112-2-1-2-22-111-100-212-1−i3−i3i3i32-2-22-1-1110-221-1i3−i31-100−i3−i3i3i3-220000001-100−i3−i3i3i301-1i3−i3001-1i3−i30000000000000
χ502-22-22-1-22112-2-1-2-22-111-100-212-1−i3−i3i3i3-222-211-1-10-221-1i3−i31-100−i3−i3i3i32-2000000-1100i3i3−i3−i301-1i3−i300-11−i3i30000000000000
χ512-22-22-1-22112-2-1-2-22-111-100-212-1i3i3−i3−i32-2-22-1-1110-221-1−i3i31-100i3i3−i3−i3-220000001-100i3i3−i3−i301-1−i3i3001-1−i3i30000000000000
χ522-22-22-1-22112-2-1-2-22-111-100-212-1i3i3−i3−i3-222-211-1-10-221-1−i3i31-100i3i3−i3−i32-2000000-1100−i3−i3i3i301-1−i3i300-11i3−i30000000000000
χ5344444-2-4-4-2-244-2400-2-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ5444444-2-4-4-2-244-2400-2-2-2-200-42-420000-4-444222200000002200000000000000-2-2000000000000000000000000000000
χ554444-24-4-444-2-24-200-2-2-2-2002-42-400000000000000000002200000000004-40000-2-20000000000000000200000000000
χ564444-24-4-444-2-24-200-2-2-2-2002-42-40000000000000000000220000000000-440000220000000000000000-200000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-444004-4-4-4-440044-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-444004-4-4-4-440044-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-200-22-4-42400-2-22222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ6444-4-44-200-22-4-42400-2-22222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ6544-4-44-200-22-4-42400-2-222−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ6644-4-44-200-22-4-42400-2-222−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ6744-4-4-24004-422-4-200-2-22222−22000022−2222−2200000000000000000−22−22−220000000000−2i32i30000000000000000000i6−i60000000
χ6844-4-4-24004-422-4-200-2-22222−22000022−2222−2200000000000000000−22−22−2200000000002i3−2i30000000000000000000−i6i60000000
χ6944-4-4-24004-422-4-200-2-222−22220000−2222−2222000000000000000002−22−22−20000000000−2i32i30000000000000000000−i6i60000000
χ7044-4-4-24004-422-4-200-2-222−22220000−2222−2222000000000000000002−22−22−200000000002i3−2i30000000000000000000i6−i60000000
χ714-44-44-24-4224-4-2-400-222-2004-2-4200004-44-4-2-2220000000-2200000000000000-22000000000000000000000000000000
χ724-44-44-24-4224-4-2-400-222-2004-2-420000-44-4422-2-20000000-22000000000000002-2000000000000000000000000000000
χ734-44-4-244-4-4-4-224200-222-200-242-40000000000000000000-22000000004i−4i0000000000000000000000000−2i2i000000000
χ744-44-4-244-4-4-4-224200-222-200-242-40000000000000000000-2200000000−4i4i00000000000000000000000002i−2i000000000
χ754-44-4-24-44-4-4-22424-4-222-2002-4-240000000000000-224-4002-200000000000000000000000-22000000000000000000000
χ764-44-4-24-44-4-4-2242-44-222-2002-4-2400000000000002-2-44002-2000000000000000000000002-2000000000000000000000
χ774-44-4-2-2-4422-22-224-41-1-110022-2-2−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i3000000000000000001-1i3−i30000000000000000000
χ784-44-4-2-2-4422-22-224-41-1-110022-2-22i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i3000000000000000001-1−i3i30000000000000000000
χ794-44-4-2-2-4422-22-22-441-1-110022-2-2−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i300000000000000000-11−i3i30000000000000000000
χ804-44-4-2-2-4422-22-22-441-1-110022-2-22i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i300000000000000000-11i3−i30000000000000000000
χ814-4-444400-44-44-4-4004-44-400000000000000000000000000000000000000022−22000022−22−2222000000000000000000000000
χ824-4-444400-44-44-4-4004-44-4000000000000000000000000000000000000000−22220000−222222−22000000000000000000000000
χ834-4-444-2002-2-442-400-22-22000000i6−i6−i6i60000−2i32i32i3−2i300000000000i6−i6−i6i600000022−220000−222−2000000000000000000000000
χ844-4-444-2002-2-442-400-22-22000000i6−i6−i6i600002i3−2i3−2i32i300000000000i6−i6−i6i6000000−222200002−2−22000000000000000000000000
χ854-4-444-2002-2-442-400-22-22000000−i6i6i6−i60000−2i32i32i3−2i300000000000−i6i6i6−i6000000−222200002−2−22000000000000000000000000
χ864-4-444-2002-2-442-400-22-22000000−i6i6i6−i600002i3−2i3−2i32i300000000000−i6i6i6−i600000022−220000−222−2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-400-44444-40022-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-400-44444-40022-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-8-4-48-844-44-44002-2-2200-4-44400000000000000000002-20000000000000000000000000000000000000000000000
χ918-8-88-4800-884-4-8400-44-440000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4004-44-444002-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-4004-44-444002-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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