Finite Group Databasebeta

← Group #11872290

Character table — Group #11872290

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order1222334466666622366688121212122424242444441212121226666661212242424242424444444881212121224242424666662481212121212121224242444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-111-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-1-111111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11-11-1-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-111-1-1-11-1111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1111-1-1-1-1-1111111111-1-1
χ911111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11
χ1011111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-11-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-11
χ1311111111111111-1-11111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11111-11-1-1-1-111-1-111-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111-111-111-1-11111-1-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111111-1-1111-1-11-1-111-1-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-111-1-11-11111-1-11111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-2000000002-20000-2-222000000000000-200000000-2200000
χ18222222-2-222222200222200-2-2-2-2000022-2-222220000000-2-200000000-220000-2-2-2-20000000000002000000002-200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000002-200002222000000000000-2000000002-200000
χ20222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000-22000022-2-2000000000000200000000-2200000
χ2122222-1222-12-1-1222-1-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-10022220000-1-10000-1-1-1-1-1202-1-1-10000-1-10000-100
χ2222222-1222-12-1-1222-1-1-1-122-122-122220000000022222-1-1-1-1-1-1-1-1-1-100-2-2-2-20000110000-1-1-1-1-1-20-21110000110000100
χ2322222-1222-12-1-1222-1-1-1-1-2-2-122-1-2-2-2-200000000-222-2-2-1-1-1-11111110022220000-1-100001-1-111-20-2-1-1-10000110000100
χ2422222-1222-12-1-1222-1-1-1-1-2-2-122-1-2-2-2-200000000-222-2-2-1-1-1-111111100-2-2-2-200001100001-1-1112021110000-1-10000-100
χ2522222-1222-12-1-12-2-2-1-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-10022-2-20000-1-1000011111-202-1110000-1-10000100
χ2622222-1222-12-1-12-2-2-1-1-1-122-122-1222200000000-2-2-2-2-211-1-1-1-1-1-1-1-100-2-22200001100001111120-21-1-10000110000-100
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-2-122-1-2-2-2-2000000002-2-22211-1-11111110022-2-20000-1-10000-111-1-120-2-1110000110000-100
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-2-122-1-2-2-2-2000000002-2-22211-1-111111100-2-2220000110000-111-1-1-2021-1-10000-1-10000100
χ292222-1222-12-122-122-1-1-1-1222-1-12-1-1-1-12222-1-1-1-12-1-1-1-122-1-122-1-1-1-122000022-1-100-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-1222-12-122-122-1-1-1-1222-1-12-1-1-1-1-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-20000-2-2110011112-1-1-1-10-200001111000000000
χ312222-1222-12-122-122-1-1-1-1-2-22-1-1211112222-1-1-1-1-2-1-11122-1-1-2-21111220000-2-2-1-1001111-2-1-1110-20000-1-111000000000
χ322222-1222-12-122-122-1-1-1-1-2-22-1-121111-2-2-2-21111-2-1-11122-1-1-2-21111-2-20000221100-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-1222-12-122-1-2-2-1-1-1-1222-1-12-1-1-1-12222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-2000022-1-100-1-1-1-1-211110-200001111000000000
χ342222-1222-12-122-1-2-2-1-1-1-1222-1-12-1-1-1-1-2-2-2-21111-21111-2-2-1-122-1-1-1-1220000-2-211001111-21111020000-1-1-1-1000000000
χ352222-1222-12-122-1-2-2-1-1-1-1-2-22-1-1211112222-1-1-1-1211-1-1-2-2-1-1-2-21111-2-20000-2-2-1-1001111211-1-102000011-1-1000000000
χ362222-1222-12-122-1-2-2-1-1-1-1-2-22-1-121111-2-2-2-21111211-1-1-2-2-1-1-2-21111220000221100-1-1-1-1211-1-10-20000-1-111000000000
χ372-2-22222-222-2-2-2-22-22-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i02-2002-2-220000002i−2i0000002i−2i00000002-2000000002i−2i00000000000
χ382-2-22222-222-2-2-2-22-22-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i02-2002-2-22000000−2i2i000000−2i2i00000002-200000000−2i2i00000000000
χ392-2-22222-222-2-2-2-2-222-2-2200-22-2200002i−2i2i−2i2i2i−2i−2i0-2200-22-22000000−2i2i0000002i−2i0000000-2200000000−2i2i00000000000
χ402-2-22222-222-2-2-2-2-222-2-2200-22-220000−2i2i−2i2i−2i−2i2i2i0-2200-22-220000002i−2i000000−2i2i0000000-22000000002i−2i00000000000
χ412-2-2222-2222-2-2-2-2002-2-22002-22-200002i−2i−2i2i2i2i−2i−2i00000002-200000000002i−2i00−2i2i0000000000000002i−2i000000002-2000
χ422-2-2222-2222-2-2-2-2002-2-22002-22-200002i−2i−2i2i2i2i−2i−2i00000002-20000000000−2i2i00−2i2i000000000000000−2i2i00000000-22000
χ432-2-2222-2222-2-2-2-2002-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-200000000002i−2i002i−2i0000000000000002i−2i00000000-22000
χ442-2-2222-2222-2-2-2-2002-2-22002-22-20000−2i2i2i−2i−2i−2i2i2i00000002-20000000000−2i2i002i−2i000000000000000−2i2i000000002-2000
χ452-2-22-122-2-121-2-212-2-111-100-2-112−i3−i3i3i32i−2i2i−2i−i−iii0-11−i3i32-21-100−i3−i3i3i32i−2i000000−ii0033−3−30-11−i3i3000000−ii3−3000000000
χ462-2-22-122-2-121-2-212-2-111-100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i0-11−i3i32-21-100−i3−i3i3i3−2i2i000000i−i00−3−3330-11−i3i3000000i−i−33000000000
χ472-2-22-122-2-121-2-212-2-111-100-2-112i3i3−i3−i32i−2i2i−2i−i−iii0-11i3−i32-21-100i3i3−i3−i32i−2i000000−ii00−3−3330-11i3−i3000000−ii−33000000000
χ482-2-22-122-2-121-2-212-2-111-100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i0-11i3−i32-21-100i3i3−i3−i3−2i2i000000i−i0033−3−30-11i3−i3000000i−i3−3000000000
χ492-2-22-122-2-121-2-21-22-111-100-2-112−i3−i3i3i32i−2i2i−2i−i−iii01-1i3−i3-221-100−i3−i3i3i3−2i2i000000−ii0033−3−301-1i3−i3000000i−i−33000000000
χ502-2-22-122-2-121-2-21-22-111-100-2-112−i3−i3i3i3−2i2i−2i2iii−i−i01-1i3−i3-221-100−i3−i3i3i32i−2i000000i−i00−3−33301-1i3−i3000000−ii3−3000000000
χ512-2-22-122-2-121-2-21-22-111-100-2-112i3i3−i3−i32i−2i2i−2i−i−iii01-1−i3i3-221-100i3i3−i3−i3−2i2i000000−ii00−3−33301-1−i3i3000000i−i3−3000000000
χ522-2-22-122-2-121-2-21-22-111-100-2-112i3i3−i3−i3−2i2i−2i2iii−i−i01-1−i3i3-221-100i3i3−i3−i32i−2i000000i−i0033−3−301-1−i3i3000000−ii−33000000000
χ5344444-2-4-44-24-2-2400-2-2-2-2002-4-42000000000000000000022000000004-4000000-2-20000000000002000000000000000
χ5444444-2-4-44-24-2-2400-2-2-2-2002-4-4200000000000000000002200000000-4400000022000000000000-2000000000000000
χ554444-24-4-4-24-244-200-2-2-2-200-422-4000044-4-4-2-2-2-20000000220000000000000022000000000000000000000000000000
χ564444-24-4-4-24-244-200-2-2-2-200-422-40000-4-444222200000002200000000000000-2-2000000000000000000000000000000
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
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-10000000000000000211-1-10000000000000000000
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
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-44400-4-444-4-40044-4-4000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i2000000000000000000000000
χ6244-4-44400-4-444-4-40044-4-40000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i2000000000000000000000000
χ6344-4-4-24002-4-24-4200-2-222000000i6−i6i6−i6000023−2323−2300000000000i6−i6i6−i6000000−2i22i20000i2−i2i2−i2000000000000000000000000
χ6444-4-4-24002-4-24-4200-2-222000000i6−i6i6−i60000−2323−232300000000000i6−i6i6−i60000002i2−2i20000−i2i2−i2i2000000000000000000000000
χ6544-4-4-24002-4-24-4200-2-222000000−i6i6−i6i6000023−2323−2300000000000−i6i6−i6i60000002i2−2i20000−i2i2−i2i2000000000000000000000000
χ6644-4-4-24002-4-24-4200-2-222000000−i6i6−i6i60000−2323−232300000000000−i6i6−i6i6000000−2i22i20000i2−i2i2−i2000000000000000000000000
χ674-44-44400-4-4-4-444004-44-422−22000022−22−22220000000000000000022−2222−22−22220000000000000000000000000000000000000000
χ684-44-44400-4-4-4-444004-44-4−22220000−222222−2200000000000000000−2222−222222−220000000000000000000000000000000000000000
χ694-44-44-200-42-42-2400-22-2222−22000022−22−222200000000000000000−22−222−20000000000−2i32i30000000000000000000i6−i60000000
χ704-44-44-200-42-42-2400-22-2222−22000022−22−222200000000000000000−22−222−200000000002i3−2i30000000000000000000−i6i60000000
χ714-44-44-200-42-42-2400-22-22−22220000−222222−22000000000000000002−22−2−220000000000−2i32i30000000000000000000−i6i60000000
χ724-44-44-200-42-42-2400-22-22−22220000−222222−22000000000000000002−22−2−2200000000002i3−2i30000000000000000000i6−i60000000
χ734-44-4-24002-42-44-200-22-2222−220000−222−20000−2i32i32i3−2i300000000022−22−222−2000000000000−i6i6i6−i6000000000000000000000000
χ744-44-4-24002-42-44-200-22-2222−220000−222−200002i3−2i3−2i32i300000000022−22−222−2000000000000i6−i6−i6i6000000000000000000000000
χ754-44-4-24002-42-44-200-22-22−222200002−2−220000−2i32i32i3−2i3000000000−22222−2−22000000000000i6−i6−i6i6000000000000000000000000
χ764-44-4-24002-42-44-200-22-22−222200002−2−2200002i3−2i3−2i32i3000000000−22222−2−22000000000000−i6i6i6−i6000000000000000000000000
χ774-4-444-24-44-2-422-44-4-222-20024-4-200000000000004-400-222-200000000000000000000000-22000000000000000000000
χ784-4-444-24-44-2-422-4-44-222-20024-4-20000000000000-44002-22-2000000000000000000000002-2000000000000000000000
χ794-4-444-2-444-2-422-400-222-200-2-4420000000000000000000-2200000000004i−4i0000000000000000000−2i2i0000000000000
χ804-4-444-2-444-2-422-400-222-200-2-4420000000000000000000-220000000000−4i4i00000000000000000002i−2i0000000000000
χ814-4-44-24-44-242-4-4200-222-20042-2-400004i−4i−4i4i−2i−2i2i2i0000000-22000000000000002i−2i000000000000000000000000000000
χ824-4-44-24-44-242-4-4200-222-20042-2-40000−4i4i4i−4i2i2i−2i−2i0000000-2200000000000000−2i2i000000000000000000000000000000
χ834-4-44-2-24-4-2-222224-41-1-11002-22-2−2i3−2i32i32i3000000000-22−2i32i3-22-1100i3i3−i3−i3000000000000000001-1i3−i30000000000000000000
χ844-4-44-2-24-4-2-222224-41-1-11002-22-22i32i3−2i3−2i3000000000-222i3−2i3-22-1100−i3−i3i3i3000000000000000001-1−i3i30000000000000000000
χ854-4-44-2-24-4-2-22222-441-1-11002-22-2−2i3−2i32i32i30000000002-22i3−2i32-2-1100i3i3−i3−i300000000000000000-11−i3i30000000000000000000
χ864-4-44-2-24-4-2-22222-441-1-11002-22-22i32i3−2i3−2i30000000002-2−2i32i32-2-1100−i3−i3i3i300000000000000000-11i3−i30000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-40022220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-88-400-848-44-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-40044-4-4440022-2-20000002i6−2i62i6−2i60000000000000000000−i6i6−i6i60000000000000000000000000000000000000000
χ9088-8-8-4-40044-4-4440022-2-2000000−2i62i6−2i62i60000000000000000000i6−i6i6−i60000000000000000000000000000000000000000
χ918-88-8-4-4004444-4-4002-22-242−420000−222222−2200000000000000000−22222−2−220000000000000000000000000000000000000000
χ928-88-8-4-4004444-4-4002-22-2−4242000022−22−22220000000000000000022−22−222−20000000000000000000000000000000000000000
χ938-8-88-4-4-88-4-44444002-2-2200-44-4400000000000000000002-20000000000000000000000000000000000000000000000

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