Finite Group Databasebeta

← Group #11872688

Character table — Group #11872688

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222244444444444444446666666688888888888888812121212121212121212121212121212161616161624242424242424242424242436363636487272
order12223344666666344666881212121224242424444412121212412121212121212122424242424242444448812121212242424241212121212246812121212121224244444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-111-111-1-111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-1-11-11111-1-1-1-11111-1-1-1
χ611111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-11-1-11-1-111-1-111-1-1-1-1111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1-111111-1-11111-111-1-1-111-111-1-111-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-11-1-1-1-1111111111-1-1
χ9111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11
χ10111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-111-1-1-111-1-1111111-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-111-11-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-11-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11-1-111111-1-1-1-1-111-1-111-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11-1-111-11-1111-1-11111-1-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-111111-1-1111-11-1-1-111-1-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-111-1-1-1-111111-1-111-1-1-111111-1-11111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-200000020000-200-2-2-2-2000000000002000000000-2200000
χ18222222-2-222222220022200-2-2-2-2000022-2-222220000000-2-2000000-2000020022-2-200000000000-20000000002-200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000020000-200-2-2220000000000020000000002-200000
χ20222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-20000000-2-2000000-20000200222200000000000-2000000000-2200000
χ2122222-1222-1-1-122-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-122200200-1-1000000-1-1-1-1-120-12-1-10000-1-10000-100
χ2222222-1222-1-1-122-122-1-1-122-12-122222000000002-1-12222-1-1-1-1-1-1-1-1-2-2-200-20011000000-1-1-1-1-1-201-2110000110000100
χ2322222-1222-1-1-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-111111122200200-1-10000001-1-111-20-1-2-1-10000110000100
χ2422222-1222-1-1-122-122-1-1-1-2-2-12-12-2-2-2-200000000-2-1-122-2-2-1-1111111-2-2-200-200110000001-1-1112012110000-1-10000-100
χ2522222-1222-1-1-122-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-12-2-200200-1-100000011111-20-12110000-1-10000100
χ2622222-1222-1-1-122-1-2-2-1-1-122-12-12222200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-22200-2001100000011111201-2-1-10000110000-100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-11111112-2-200200-1-1000000-111-1-120-1-2110000110000-100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-12-12-2-2-2-200000000211-2-222-1-1111111-22200-20011000000-111-1-1-2012-1-10000-1-10000100
χ292222-1222-1222-1-1-122-1-1-1222-12-1-1-1-1-12222-1-1-1-1222-1-1-1-1-1-122-1-1-1-10002202200-1-1-1-1-1-12-1-1-1-1020000-1-1-1-1000000000
χ302222-1222-1222-1-1-122-1-1-1222-12-1-1-1-1-1-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1000-2-20-2-2001111112-1-1-1-10-200001111000000000
χ312222-1222-1222-1-1-122-1-1-1-2-22-12-111112222-1-1-1-1-222-1-111-1-1-2-21111000220-2-200-1-11111-2-1-1110-20000-1-111000000000
χ322222-1222-1222-1-1-122-1-1-1-2-22-12-11111-2-2-2-21111-222-1-111-1-1-2-21111000-2-20220011-1-1-1-1-2-1-11102000011-1-1000000000
χ332222-1222-1222-1-1-1-2-2-1-1-1222-12-1-1-1-1-12222-1-1-1-1-2-2-21111-1-122-1-1-1-1000-2-202200-1-1-1-1-1-1-211110-200001111000000000
χ342222-1222-1222-1-1-1-2-2-1-1-1222-12-1-1-1-1-1-2-2-2-21111-2-2-21111-1-122-1-1-1-1000220-2-200111111-21111020000-1-1-1-1000000000
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-111112222-1-1-1-12-2-211-1-1-1-1-2-21111000-2-20-2-200-1-11111211-1-102000011-1-1000000000
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-12-11111-2-2-2-211112-2-211-1-1-1-1-2-21111000220220011-1-1-1-1211-1-10-20000-1-111000000000
χ372-22-2222-2-22-2-2-22200-22-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-200000002i−2i00000002i−2i00000000000002i−2i000000002-2000
χ382-22-2222-2-22-2-2-22200-22-200-2-22200002i−2i2i−2i2i2i−2i−2i00000002-20000000−2i2i00000002i−2i0000000000000−2i2i00000000-22000
χ392-22-2222-2-22-2-2-22200-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-200000002i−2i0000000−2i2i00000000000002i−2i00000000-22000
χ402-22-2222-2-22-2-2-22200-22-200-2-2220000−2i2i−2i2i−2i−2i2i2i00000002-20000000−2i2i0000000−2i2i0000000000000−2i2i000000002-2000
χ412-22-222-22-22-2-2-2222i−2i-22-20022-2-200002i−2i−2i2i2i2i−2i−2i02i−2i2i−2i00-220000000002-200000−2i2i000002i−2i000000002-200000000000
χ422-22-222-22-22-2-2-2222i−2i-22-20022-2-20000−2i2i2i−2i−2i−2i2i2i02i−2i2i−2i00-22000000000-22000002i−2i000002i−2i00000000-2200000000000
χ432-22-222-22-22-2-2-222−2i2i-22-20022-2-200002i−2i−2i2i2i2i−2i−2i0−2i2i−2i2i00-22000000000-2200000−2i2i00000−2i2i00000000-2200000000000
χ442-22-222-22-22-2-2-222−2i2i-22-20022-2-20000−2i2i2i−2i−2i−2i2i2i0−2i2i−2i2i00-220000000002-2000002i−2i00000−2i2i000000002-200000000000
χ452-22-2-12-2212-2-21-1-12i−2i1-11002-1-21−i3−i3i3i32i−2i−2i2i−i−iii02i−2i−ii3−31-100−i3−i3i3i30002-200000i−i33−3−30−ii3−3000000-11−i3i3000000000
χ462-22-2-12-2212-2-21-1-12i−2i1-11002-1-21−i3−i3i3i3−2i2i2i−2iii−i−i02i−2i−ii3−31-100−i3−i3i3i3000-2200000−ii−3−3330−ii3−30000001-1i3−i3000000000
χ472-22-2-12-2212-2-21-1-12i−2i1-11002-1-21i3i3−i3−i32i−2i−2i2i−i−iii02i−2i−ii−331-100i3i3−i3−i30002-200000i−i−3−3330−ii−33000000-11i3−i3000000000
χ482-22-2-12-2212-2-21-1-12i−2i1-11002-1-21i3i3−i3−i3−2i2i2i−2iii−i−i02i−2i−ii−331-100i3i3−i3−i3000-2200000−ii33−3−30−ii−330000001-1−i3i3000000000
χ492-22-2-12-2212-2-21-1-1−2i2i1-11002-1-21−i3−i3i3i32i−2i−2i2i−i−iii0−2i2ii−i−331-100−i3−i3i3i3000-2200000i−i33−3−30i−i−330000001-1i3−i3000000000
χ502-22-2-12-2212-2-21-1-1−2i2i1-11002-1-21−i3−i3i3i3−2i2i2i−2iii−i−i0−2i2ii−i−331-100−i3−i3i3i30002-200000−ii−3−3330i−i−33000000-11−i3i3000000000
χ512-22-2-12-2212-2-21-1-1−2i2i1-11002-1-21i3i3−i3−i32i−2i−2i2i−i−iii0−2i2ii−i3−31-100i3i3−i3−i3000-2200000i−i−3−3330i−i3−30000001-1−i3i3000000000
χ522-22-2-12-2212-2-21-1-1−2i2i1-11002-1-21i3i3−i3−i3−2i2i2i−2iii−i−i0−2i2ii−i3−31-100i3i3−i3−i30002-200000−ii33−3−30i−i3−3000000-11i3−i3000000000
χ5344444-2-4-44-2-2-244-200-2-2-2002-42-400000000000000000002200000040000-400220000000000000-20000000000000000
χ5444444-2-4-44-2-2-244-200-2-2-2002-42-4000000000000000000022000000-40000400-2-2000000000000020000000000000000
χ554444-24-4-4-2444-2-2-200-2-2-200-42-42000044-4-4-2-2-2-20000000220000000000000000220000000000000000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-200-42-420000-4-44422220000000220000000000000000-2-20000000000000000000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-211110000000000000000-211110000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-10000000000000000211-1-10000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-2111100000000000000002-1-1-1-10000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-10000000000000000-2-1-1110000000000000000000
χ6144-4-444004-4-44-4-44004-4-422−22000022−2222−220000000000000000022−2222−2222−220000000000000000000000000000000000000000
χ6244-4-444004-4-44-4-44004-4-4−22220000−2222−222200000000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6344-4-44-200422-2-4-4-200-22222−22000022−2222−2200000000000000000−22−22−220000000023−230000000000000000000006−60000000
χ6444-4-44-200422-2-4-4-200-22222−22000022−2222−2200000000000000000−22−22−2200000000−2323000000000000000000000−660000000
χ6544-4-44-200422-2-4-4-200-222−22220000−2222−2222000000000000000002−22−22−20000000023−23000000000000000000000−660000000
χ6644-4-44-200422-2-4-4-200-222−22220000−2222−2222000000000000000002−22−22−200000000−23230000000000000000000006−60000000
χ6744-4-4-2400-2-4-4422-200-22222−220000−22−220000−2i32i3−2i32i300000000022−22−22−22000000000000i6−i6i6−i6000000000000000000000000
χ6844-4-4-2400-2-4-4422-200-22222−220000−22−2200002i3−2i32i3−2i300000000022−22−22−22000000000000−i6i6−i6i6000000000000000000000000
χ6944-4-4-2400-2-4-4422-200-222−222200002−22−20000−2i32i3−2i32i3000000000−22222−22−2000000000000−i6i6−i6i6000000000000000000000000
χ7044-4-4-2400-2-4-4422-200-222−222200002−22−200002i3−2i32i3−2i3000000000−22222−22−2000000000000i6−i6i6−i6000000000000000000000000
χ714-44-44-24-4-4-222-44-2002-22002-4-240000000000000000000-2200000004i−4i0000000000000000000000−2i2i0000000000000
χ724-44-44-24-4-4-222-44-2002-22002-4-240000000000000000000-220000000−4i4i00000000000000000000002i−2i0000000000000
χ734-44-44-2-44-4-222-44-24i−4i2-2200-242-40000000000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000
χ744-44-44-2-44-4-222-44-2−4i4i2-2200-242-400000000000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000
χ754-44-4-244-424-4-42-2-2002-2200-424-200004i−4i4i−4i−2i−2i2i2i0000000-220000000000000000−2i2i0000000000000000000000000000
χ764-44-4-244-424-4-42-2-2002-2200-424-20000−4i4i−4i4i2i2i−2i−2i0000000-2200000000000000002i−2i0000000000000000000000000000
χ774-44-4-2-2-442-2222-214i−4i-11-100-2-222−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i300000000000000000i−i−330000000000000000000
χ784-44-4-2-2-442-2222-214i−4i-11-100-2-2222i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i300000000000000000i−i3−30000000000000000000
χ794-44-4-2-2-442-2222-21−4i4i-11-100-2-222−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i300000000000000000−ii3−30000000000000000000
χ804-44-4-2-2-442-2222-21−4i4i-11-100-2-2222i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i300000000000000000−ii−330000000000000000000
χ814-4-444400-4-44-44-4400-4-44000000000000000000000000000000000000000−2i22i20000−2i22i22i2−2i2000000000000000000000000
χ824-4-444400-4-44-44-4400-4-440000000000000000000000000000000000000002i2−2i200002i2−2i2−2i22i2000000000000000000000000
χ834-4-44-24002-44-4-22-20022-2000000i6−i6−i6i6000023−23−232300000000000i6−i6−i6i60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ844-4-44-24002-44-4-22-20022-2000000i6−i6−i6i60000−232323−2300000000000i6−i6−i6i6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ854-4-44-24002-44-4-22-20022-2000000−i6i6i6−i6000023−23−232300000000000−i6i6i6−i6000000−2i22i20000i2−i2−i2i2000000000000000000000000
χ864-4-44-24002-44-4-22-20022-2000000−i6i6i6−i60000−232323−2300000000000−i6i6i6−i60000002i2−2i20000−i2i2i2−i2000000000000000000000000
χ878888-4-4-8-8-4-4-4-4-4-42002220044440000000000000000000-2-20000000000000000000000000000000000000000000000
χ8888-8-8-4-400-444-4442002-2-242−420000−2222−222200000000000000000−22222−22−20000000000000000000000000000000000000000
χ8988-8-8-4-400-444-4442002-2-2−4242000022−2222−220000000000000000022−22−22−220000000000000000000000000000000000000000
χ908-88-8-4-48-84-4444-4200-22-20044-4-400000000000000000002-20000000000000000000000000000000000000000000000
χ918-8-888-400-84-448-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40044-44-44200-2-220000002i6−2i6−2i62i60000000000000000000−i6i6i6−i60000000000000000000000000000000000000000
χ938-8-88-4-40044-44-44200-2-22000000−2i62i62i6−2i60000000000000000000i6−i6−i6i60000000000000000000000000000000000000000

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