Finite Group Databasebeta

← Group #11870395

Character table — Group #11870395

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212224448121212121212121224242424242424242444446688121212121212121212446812121212121224242424244488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-11-1-111-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-11111111-111-1-1-111-1-111-1-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-111-1-11-111-1-11111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-11-1-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-111111-1-1-1-1-1-111-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-111111-1-1111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000002-200002200-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-2200002200-2-2220000000-2000000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000002-20000-2-20022-2-200000002000000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-220000-2-20022220000000-200000000000-22000000
χ2122222-1222-12-12-1-122-1-1-12-1-12000022-1-12222-1-1-1-122-1-1-1-1220022002200-1-1-1-1-1-1-102-1000-1-100-1-100000000-10
χ2222222-1222-12-12-1-122-1-1-12-1-12000022-1-12222-1-1-1-122-1-1-1-1-2-200-2-200-2-20011-1-1-1-1-10-210001100110000000010
χ2322222-1222-12-12-1-122-1-1-12-1-120000-2-2-1-122-2-2-1-111-2-2111122002200-2-200-1-11-1-1110-2-1000-1-100110000000010
χ2422222-1222-12-12-1-122-1-1-12-1-120000-2-2-1-122-2-2-1-111-2-21111-2-200-2-2002200111-1-1110210001100-1-100000000-10
χ2522222-1222-12-12-1-1-2-2-1-1-12-1-1200002-211-2-222-1-111-2-211112200-2-200-2-200-1-1-111-1-102-100011001100000000-10
χ2622222-1222-12-12-1-1-2-2-1-1-12-1-1200002-211-2-222-1-111-2-21111-2-2002200220011-111-1-10-21000-1-100-1-10000000010
χ2722222-1222-12-12-1-1-2-2-1-1-12-1-120000-2211-2-2-2-2-1-1-1-122-1-1-1-12200-2-2002200-1-1111110-2-10001100-1-10000000010
χ2822222-1222-12-12-1-1-2-2-1-1-12-1-120000-2211-2-2-2-2-1-1-1-122-1-1-1-1-2-2002200-2-2001111111021000-1-1001100000000-10
χ292222-1222-12-12-12-122-1-1-1-122-122222222-1-1-1-1-1-122-1-1-1-1-1-1002200-1-100-1-1002-1-1-1-12002-1-100-1-100-1-100000000
χ302222-1222-12-12-12-122-1-1-1-122-12222-2-222-1-111-1-1-2-2111111002200-1-100-1-100-2-1-111-200-2-1-10011001100000000
χ312222-1222-12-12-12-122-1-1-1-122-1-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-100-2-200110011002-1-1-1-1-200-2110011001100000000
χ322222-1222-12-12-12-122-1-1-1-122-1-2-2-2-2-2-222-1-111-1-1-2-211111100-2-20011001100-2-1-11120021100-1-100-1-100000000
χ332222-1222-12-12-12-1-2-2-1-1-1-122-122222-2-2-211-1-1-1-1-2-211111100-2-200-1-100-1-100211-1-1200-21100-1-1001100000000
χ342222-1222-12-12-12-1-2-2-1-1-1-122-12222-22-2-21111-1-122-1-1-1-1-1-100-2-200-1-100-1-100-21111-200211001100-1-100000000
χ352222-1222-12-12-12-1-2-2-1-1-1-122-1-2-2-2-22-2-2-211-1-1-1-1-2-211111100220011001100211-1-1-2002-1-1001100-1-100000000
χ362222-1222-12-12-12-1-2-2-1-1-1-122-1-2-2-2-2-22-2-21111-1-122-1-1-1-1-1-100220011001100-21111200-2-1-100-1-1001100000000
χ372-22-2222-22-2-2-2-2222i−2i-22-2-22-222-22-2002i−2i2i−2i00-2200000000002i−2i002-2002-20002i−2i0000002i−2i0000000000000000
χ382-22-2222-22-2-2-2-2222i−2i-22-2-22-22-22-22002i−2i2i−2i00-220000000000−2i2i00-2200-220002i−2i000000−2i2i0000000000000000
χ392-22-2222-22-2-2-2-222−2i2i-22-2-22-222-22-200−2i2i−2i2i00-220000000000−2i2i002-2002-2000−2i2i000000−2i2i0000000000000000
χ402-22-2222-22-2-2-2-222−2i2i-22-2-22-22-22-2200−2i2i−2i2i00-2200000000002i−2i00-2200-22000−2i2i0000002i−2i0000000000000000
χ412-22-222-222-2-2-2-22200-22-22-22-22-2-22000000002-20000000000002i−2i2-200-2200000000000002i−2i000000002i−2i0000
χ422-22-222-222-2-2-2-22200-22-22-22-22-2-22000000002-2000000000000−2i2i2-200-220000000000000−2i2i00000000−2i2i0000
χ432-22-222-222-2-2-2-22200-22-22-22-2-222-2000000002-20000000000002i−2i-22002-200000000000002i−2i00000000−2i2i0000
χ442-22-222-222-2-2-2-22200-22-22-22-2-222-2000000002-2000000000000−2i2i-22002-20000000000000−2i2i000000002i−2i0000
χ452-22-2-122-2-1-21-212-12i−2i1-1112-2-12-22-2002i−2i−ii3−31-100−i3i3−i3−i3i3i3002i−2i00-1100-11000−ii3−30000−ii003−300−i3i300000000
χ462-22-2-122-2-1-21-212-12i−2i1-1112-2-12-22-2002i−2i−ii−331-100i3−i3i3i3−i3−i3002i−2i00-1100-11000−ii−330000−ii00−3300i3−i300000000
χ472-22-2-122-2-1-21-212-12i−2i1-1112-2-1-22-22002i−2i−ii3−31-100−i3i3−i3−i3i3i300−2i2i001-1001-1000−ii3−30000i−i00−3300i3−i300000000
χ482-22-2-122-2-1-21-212-12i−2i1-1112-2-1-22-22002i−2i−ii−331-100i3−i3i3i3−i3−i300−2i2i001-1001-1000−ii−330000i−i003−300−i3i300000000
χ492-22-2-122-2-1-21-212-1−2i2i1-1112-2-12-22-200−2i2ii−i3−31-100i3−i3i3i3−i3−i300−2i2i00-1100-11000i−i3−30000i−i003−300i3−i300000000
χ502-22-2-122-2-1-21-212-1−2i2i1-1112-2-12-22-200−2i2ii−i−331-100−i3i3−i3−i3i3i300−2i2i00-1100-11000i−i−330000i−i00−3300−i3i300000000
χ512-22-2-122-2-1-21-212-1−2i2i1-1112-2-1-22-2200−2i2ii−i3−31-100i3−i3i3i3−i3−i3002i−2i001-1001-1000i−i3−30000−ii00−3300−i3i300000000
χ522-22-2-122-2-1-21-212-1−2i2i1-1112-2-1-22-2200−2i2ii−i−331-100−i3i3−i3−i3i3i3002i−2i001-1001-1000i−i−330000−ii003−300i3−i300000000
χ5344444-2-4-44-24-24-2-200-2-2-2-422-400000000000022000000004-40000000000220000000-20000000000000000000
χ5444444-2-4-44-24-24-2-200-2-2-2-422-40000000000002200000000-440000000000-2-2000000020000000000000000000
χ554444-24-4-4-24-24-24-200-2-2-22-4-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ564444-24-4-4-24-24-24-200-2-2-22-4-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-222112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222-2-2112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-44-4-44-4400-4-440000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ6244-4-44400-44-4-44-4400-4-4400000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ6344-4-44-200-4-2-4242-20022-2000000000000000000i6−i600i6−i6i6−i600000000−2i22i20023−23000000000000000i2−i20000000000
χ6444-4-44-200-4-2-4242-20022-2000000000000000000i6−i600i6−i6i6−i6000000002i2−2i200−2323000000000000000−i2i20000000000
χ6544-4-44-200-4-2-4242-20022-2000000000000000000−i6i600−i6i6−i6i600000000−2i22i200−2323000000000000000i2−i20000000000
χ6644-4-44-200-4-2-4242-20022-2000000000000000000−i6i600−i6i6−i6i6000000002i2−2i20023−23000000000000000−i2i20000000000
χ674-44-44-24-442-42-4-2-24i−4i2-22-4-224000000−2i2i4i−4i002-200000000000000000000000−2i2i000000000000000000000000
χ684-44-44-24-442-42-4-2-2−4i4i2-22-4-2240000002i−2i−4i4i002-2000000000000000000000002i−2i000000000000000000000000
χ694-44-44-2-4442-42-4-2-2002-2242-2-4000000000000-220000000000004i−4i0000000000000000000−2i2i00000000000000
χ704-44-44-2-4442-42-4-2-2002-2242-2-4000000000000-22000000000000−4i4i00000000000000000002i−2i00000000000000
χ714-44-4-24-44-2-42-424-2002-22-2-4424-4-4400000000-2200000000000000-22002-200000000000000000000000000000
χ724-44-4-24-44-2-42-424-2002-22-2-442-444-400000000-22000000000000002-200-2200000000000000000000000000000
χ734-44-4-2-24-4-22222-214i−4i-11-12-22-2000000−2i2i−2i2i23−23-1100−2i32i3i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ744-44-4-2-24-4-22222-214i−4i-11-12-22-2000000−2i2i−2i2i−2323-11002i3−2i3−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ754-44-4-2-24-4-22222-21−4i4i-11-12-22-20000002i−2i2i−2i23−23-11002i3−2i3−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ764-44-4-2-24-4-22222-21−4i4i-11-12-22-20000002i−2i2i−2i−2323-1100−2i32i3i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ774-4-444400-4-444-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-444400-4-444-4-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4800484-8-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-44200-2-220000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-44200-2-22000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ838-88-8-4-4-88-44444-4200-22-2-44-440000000000002-20000000000000000000000000000000000000000000000000
χ848-8-888-400-848-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-8-484-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-4-4442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-40044-4-4442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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