Finite Group Databasebeta

← Group #11870382

Character table — Group #11870382

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212122244266812121212121224242424242424242444446688121212126661212446812121212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-11-111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-111-11-1-111-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-111-1-11111-1-111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1111-111-1-11111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-11-1-111-1-111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1-1-1-1111111-1-1-1-11111-1-1
χ11111111111111111-1-111111111111-1-1-11-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-1-1-1-111-1-111-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-111111-1-1-1-1-1-111-1-111111-1
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1111-1-111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-2000000002-200002200-2-2-2-20000000200000000000-22000000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-220000220022-2-20000000-2000000000002-2000000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-2000000002-20000-2-200-2-22200000002000000000002-2000000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-220000-2-20022220000000-200000000000-22000000
χ2122222-1222-1-122-1-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-12200220022-1-100-1-1-1-1-102-100000-1-1-1-100000000-10
χ2222222-1222-1-122-1-122-1-1-12-1-1200002222-1-122-1-1-1-122-1-1-1-1-2-200-2-200-2-21100-1-1-1-1-10-210000011110000000010
χ2322222-1222-1-122-1-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-2111122002200-2-2-1-100111-1-10-2-100000-1-1110000000010
χ2422222-1222-1-122-1-122-1-1-12-1-120000-2-2-2-2-1-122-1-111-2-21111-2-200-2-200221100111-1-10210000011-1-100000000-10
χ2522222-1222-1-122-1-1-2-2-1-1-12-1-120000222-211-2-2-1-111-2-211112200-2-200-2-2-1-100-1-1-11102-100000111100000000-10
χ2622222-1222-1-122-1-1-2-2-1-1-12-1-120000222-211-2-2-1-111-2-21111-2-2002200221100-1-1-1110-2100000-1-1-1-10000000010
χ2722222-1222-1-122-1-1-2-2-1-1-12-1-120000-2-2-2211-2-2-1-1-1-122-1-1-1-12200-2-20022-1-100111110-2-10000011-1-10000000010
χ2822222-1222-1-122-1-1-2-2-1-1-12-1-120000-2-2-2211-2-2-1-1-1-122-1-1-1-1-2-2002200-2-211001111102100000-1-11100000000-10
χ292222-1222-122-1-12-122-1-1-1-122-122222-1-1222-1-1-1-122-1-1-1-1-1-1002200-1-10000-1-12-1-1-1-12002-1-1-1-10000-1-100000000
χ302222-1222-122-1-12-122-1-1-1-122-12222-211-222-1-1-1-1-2-2111111002200-1-10000-1-1-211-1-1-200-2-1-11100001100000000
χ312222-1222-122-1-12-122-1-1-1-122-1-2-2-2-22-1-1222-1-1-1-122-1-1-1-1-1-100-2-200110000112-1-1-1-1-200-2111100001100000000
χ322222-1222-122-1-12-122-1-1-1-122-1-2-2-2-2-211-222-1-1-1-1-2-211111100-2-20011000011-211-1-1200211-1-10000-1-100000000
χ332222-1222-122-1-12-1-2-2-1-1-1-122-122222-1-1-2-2-211-1-1-2-211111100-2-200-1-10000-1-12-1-111200-211-1-100001100000000
χ342222-1222-122-1-12-1-2-2-1-1-1-122-12222-2112-2-211-1-122-1-1-1-1-1-100-2-200-1-10000-1-1-21111-200211110000-1-100000000
χ352222-1222-122-1-12-1-2-2-1-1-1-122-1-2-2-2-22-1-1-2-2-211-1-1-2-2111111002200110000112-1-111-2002-1-1110000-1-100000000
χ362222-1222-122-1-12-1-2-2-1-1-1-122-1-2-2-2-2-2112-2-211-1-122-1-1-1-1-1-100220011000011-21111200-2-1-1-1-100001100000000
χ3722-2-2222-2-2-22-22-2200-22-2-22-222-22-200000000-220000000000002i−2i2-200002-200000000000002i−2i0000002i−2i0000
χ3822-2-2222-2-2-22-22-2200-22-2-22-222-22-200000000-22000000000000−2i2i2-200002-20000000000000−2i2i000000−2i2i0000
χ3922-2-2222-2-2-22-22-2200-22-2-22-22-22-2200000000-220000000000002i−2i-220000-2200000000000002i−2i000000−2i2i0000
χ4022-2-2222-2-2-22-22-2200-22-2-22-22-22-2200000000-22000000000000−2i2i-220000-220000000000000−2i2i0000002i−2i0000
χ4122-2-222-22-2-22-22-222i−2i-22-22-22-22-2-2200002i−2i2i−2i2-200000000002i−2i002-20000-220002i−2i00002i−2i0000000000000000
χ4222-2-222-22-2-22-22-222i−2i-22-22-22-2-222-200002i−2i2i−2i2-20000000000−2i2i00-2200002-20002i−2i0000−2i2i0000000000000000
χ4322-2-222-22-2-22-22-22−2i2i-22-22-22-22-2-220000−2i2i−2i2i2-20000000000−2i2i002-20000-22000−2i2i0000−2i2i0000000000000000
χ4422-2-222-22-2-22-22-22−2i2i-22-22-22-2-222-20000−2i2i−2i2i2-200000000002i−2i00-2200002-2000−2i2i00002i−2i0000000000000000
χ4522-2-2-12-221-221-1-2-12i−2i1-11-1-2212-2-220−i3i302i−2i−ii-11003−333−3−3002i−2i00-1100001-10−i3i3−ii0000−ii−i3i300003−300000000
χ4622-2-2-12-221-221-1-2-12i−2i1-11-1-2212-2-220i3−i302i−2i−ii-1100−33−3−333002i−2i00-1100001-10i3−i3−ii0000−iii3−i30000−3300000000
χ4722-2-2-12-221-221-1-2-12i−2i1-11-1-221-222-20−i3i302i−2i−ii-11003−333−3−300−2i2i001-10000-110−i3i3−ii0000i−ii3−i30000−3300000000
χ4822-2-2-12-221-221-1-2-12i−2i1-11-1-221-222-20i3−i302i−2i−ii-1100−33−3−33300−2i2i001-10000-110i3−i3−ii0000i−i−i3i300003−300000000
χ4922-2-2-12-221-221-1-2-1−2i2i1-11-1-2212-2-220−i3i30−2i2ii−i-1100−33−3−33300−2i2i00-1100001-10−i3i3i−i0000i−i−i3i30000−3300000000
χ5022-2-2-12-221-221-1-2-1−2i2i1-11-1-2212-2-220i3−i30−2i2ii−i-11003−333−3−300−2i2i00-1100001-10i3−i3i−i0000i−ii3−i300003−300000000
χ5122-2-2-12-221-221-1-2-1−2i2i1-11-1-221-222-20−i3i30−2i2ii−i-1100−33−3−333002i−2i001-10000-110−i3i3i−i0000−iii3−i300003−300000000
χ5222-2-2-12-221-221-1-2-1−2i2i1-11-1-221-222-20i3−i30−2i2ii−i-11003−333−3−3002i−2i001-10000-110i3−i3i−i0000−ii−i3i30000−3300000000
χ5344444-2-4-44-2-244-2-200-2-2-2-422-400000000000022000000004-40000000022000000000-20000000000000000000
χ5444444-2-4-44-2-244-2-200-2-2-2-422-40000000000002200000000-4400000000-2-200000000020000000000000000000
χ554444-24-4-4-244-2-24-200-2-2-22-4-4244-4-4000000002200000000000000-2-2000022000000000000000000000000000
χ564444-24-4-4-244-2-24-200-2-2-22-4-42-4-444000000002200000000000000220000-2-2000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200004-2-24-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-422-4-2-2-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-2-2-42222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4224222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-4-42-2-442-2002-22-4-2240000000000002-20000000000004i−4i000000000000000000000−2i2i000000000000
χ6244-4-44-24-4-42-2-442-2002-22-4-2240000000000002-2000000000000−4i4i0000000000000000000002i−2i000000000000
χ6344-4-44-2-44-42-2-442-24i−4i2-2242-2-400000000−2i2i4i−4i-220000000000000000000000000−2i2i0000000000000000000000
χ6444-4-44-2-44-42-2-442-2−4i4i2-2242-2-4000000002i−2i−4i4i-2200000000000000000000000002i−2i0000000000000000000000
χ6544-4-4-244-42-442-2-4-2002-2224-4-24-44-4000000002-200000000000000-220000-22000000000000000000000000000
χ6644-4-4-244-42-442-2-4-2002-2224-4-2-44-44000000002-2000000000000002-200002-2000000000000000000000000000
χ6744-4-4-2-2-4422-22-2214i−4i-11-1-22-2200000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000000i3−i3i−i0000000000000000000000
χ6844-4-4-2-2-4422-22-2214i−4i-11-1-22-22000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000000−i3i3i−i0000000000000000000000
χ6944-4-4-2-2-4422-22-221−4i4i-11-1-22-2200000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000000i3−i3−ii0000000000000000000000
χ7044-4-4-2-2-4422-22-221−4i4i-11-1-22-22000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000000−i3i3−ii0000000000000000000000
χ714-44-44400-44-44-4-4400-4-440000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ724-44-44400-44-44-4-4400-4-4400000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ734-44-44-200-4-224-42-20022-2000000000000000000i6−i600i6−i6i6−i600000000−2i22i223−2300000000000000000i2−i20000000000
χ744-44-44-200-4-224-42-20022-2000000000000000000i6−i600i6−i6i6−i6000000002i2−2i2−232300000000000000000−i2i20000000000
χ754-44-44-200-4-224-42-20022-2000000000000000000−i6i600−i6i6−i6i600000000−2i22i2−232300000000000000000i2−i20000000000
χ764-44-44-200-4-224-42-20022-2000000000000000000−i6i600−i6i6−i6i6000000002i2−2i223−2300000000000000000−i2i20000000000
χ774-4-4444004-4-4-4-444004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-4444004-4-4-4-444004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-844-44-44200-22-24-44-4000000000000-220000000000000000000000000000000000000000000000000
χ818-88-8-480048-8-44-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444200-2-220000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444200-2-22000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-400844-8-8-4-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-4-8-8448-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-42002-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ878-8-88-4-400-44444-42002-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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