Finite Group Databasebeta

← Group #11870376

Character table — Group #11870376

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212122244481212121212121212242424242424242424444466881212121212121212122466681212121224242424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1111111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-11-1-1-1-111-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111111-1-111-1-111-1-11111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-111-1-11-11111-1-111-1-111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1111-1-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1111-1-111-1-1-11111-1-1-1-11111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-111-1-111-1-111-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-111-1-1111-1-1-1-111-1-111111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-111111111111-1-1-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-11-1111-111-1-111-1-1-1-111-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-111-1-1111-1
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
χ2122222-122-122-1-12-122-1-1-1-122-122222222-1-1-1-1-1-122-1-1-1-1-1-1002200-1-100-1-1002-1-1-1-1200-1-12-1-10000-1-100000000
χ2222222-122-122-1-12-122-1-1-1-122-12222-2-22211-1-1-1-1-2-2111111002200-1-100-1-100-2-1-111-20011-2-1-100001100000000
χ2322222-122-122-1-12-122-1-1-1-122-1-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-100-2-200110011002-1-1-1-1-20011-21100001100000000
χ2422222-122-122-1-12-122-1-1-1-122-1-2-2-2-2-2-22211-1-1-1-1-2-211111100-2-20011001100-2-1-111200-1-12110000-1-100000000
χ2522222-122-122-1-12-1-2-2-1-1-1-122-122222-2-2-2-1-111-1-1-2-211111100-2-200-1-100-1-100211-1-1200-1-1-21100001100000000
χ2622222-122-122-1-12-1-2-2-1-1-1-122-12222-22-2-21111-1-122-1-1-1-1-1-100-2-200-1-100-1-100-21111-200112110000-1-100000000
χ2722222-122-122-1-12-1-2-2-1-1-1-122-1-2-2-2-22-2-2-2-1-111-1-1-2-211111100220011001100211-1-1-200112-1-10000-1-100000000
χ2822222-122-122-1-12-1-2-2-1-1-1-122-1-2-2-2-2-22-2-21111-1-122-1-1-1-1-1-100220011001100-21111200-1-1-2-1-100001100000000
χ292222-12222-1-122-1-122-1-1-12-1-12000022-1-12222-1-1-1-122-1-1-1-1220022002200-1-1-1-1-1-1-102-100000-1-1-1-100000000-10
χ302222-12222-1-122-1-122-1-1-12-1-12000022-1-12222-1-1-1-122-1-1-1-1-2-200-2-200-2-20011-1-1-1-1-10-210000011110000000010
χ312222-12222-1-122-1-122-1-1-12-1-120000-2-2-1-1-2-222-1-111-2-2111122002200-2-200-1-11-1-1110-2-100000-1-1110000000010
χ322222-12222-1-122-1-122-1-1-12-1-120000-2-2-1-1-2-222-1-111-2-21111-2-200-2-2002200111-1-1110210000011-1-100000000-10
χ332222-12222-1-122-1-1-2-2-1-1-12-1-1200002-21122-2-2-1-111-2-211112200-2-200-2-200-1-1-111-1-102-100000111100000000-10
χ342222-12222-1-122-1-1-2-2-1-1-12-1-1200002-21122-2-2-1-111-2-21111-2-2002200220011-111-1-10-2100000-1-1-1-10000000010
χ352222-12222-1-122-1-1-2-2-1-1-12-1-120000-2211-2-2-2-2-1-1-1-122-1-1-1-12200-2-2002200-1-1111110-2-10000011-1-10000000010
χ362222-12222-1-122-1-1-2-2-1-1-12-1-120000-2211-2-2-2-2-1-1-1-122-1-1-1-1-2-2002200-2-200111111102100000-1-11100000000-10
χ3722-2-2222-2-2-222-2-2200-2-22-22-222-22-200000000-220000000000002i−2i2-2002-20000000000000002i−2i0000002i−2i0000
χ3822-2-2222-2-2-222-2-2200-2-22-22-222-22-200000000-22000000000000−2i2i2-2002-2000000000000000−2i2i000000−2i2i0000
χ3922-2-2222-2-2-222-2-2200-2-22-22-22-22-2200000000-220000000000002i−2i-2200-220000000000000002i−2i000000−2i2i0000
χ4022-2-2222-2-2-222-2-2200-2-22-22-22-22-2200000000-22000000000000−2i2i-2200-22000000000000000−2i2i0000002i−2i0000
χ4122-2-222-22-2-222-2-222i−2i-2-222-22-22-2-22002i−2i002i−2i2-200000000002i−2i002-200-220002i−2i000000002i−2i00000000000000
χ4222-2-222-22-2-222-2-222i−2i-2-222-22-2-222-2002i−2i002i−2i2-20000000000−2i2i00-22002-20002i−2i00000000−2i2i00000000000000
χ4322-2-222-22-2-222-2-22−2i2i-2-222-22-22-2-2200−2i2i00−2i2i2-20000000000−2i2i002-200-22000−2i2i00000000−2i2i00000000000000
χ4422-2-222-22-2-222-2-22−2i2i-2-222-22-2-222-200−2i2i00−2i2i2-200000000002i−2i00-22002-2000−2i2i000000002i−2i00000000000000
χ4522-2-22-1-221-22-11-2-12i−2i11-1-1-2212-2-22002i−2i−i3i3−ii-11003−333−3−3002i−2i00-11001-1000−ii−i3i3000−i3i30−ii00003−300000000
χ4622-2-22-1-221-22-11-2-12i−2i11-1-1-2212-2-22002i−2ii3−i3−ii-1100−33−3−333002i−2i00-11001-1000−iii3−i3000i3−i30−ii0000−3300000000
χ4722-2-22-1-221-22-11-2-12i−2i11-1-1-221-222-2002i−2i−i3i3−ii-11003−333−3−300−2i2i001-100-11000−ii−i3i3000i3−i30i−i0000−3300000000
χ4822-2-22-1-221-22-11-2-12i−2i11-1-1-221-222-2002i−2ii3−i3−ii-1100−33−3−33300−2i2i001-100-11000−iii3−i3000−i3i30i−i00003−300000000
χ4922-2-22-1-221-22-11-2-1−2i2i11-1-1-2212-2-2200−2i2i−i3i3i−i-1100−33−3−33300−2i2i00-11001-1000i−i−i3i3000−i3i30i−i0000−3300000000
χ5022-2-22-1-221-22-11-2-1−2i2i11-1-1-2212-2-2200−2i2ii3−i3i−i-11003−333−3−300−2i2i00-11001-1000i−ii3−i3000i3−i30i−i00003−300000000
χ5122-2-22-1-221-22-11-2-1−2i2i11-1-1-221-222-200−2i2i−i3i3i−i-1100−33−3−333002i−2i001-100-11000i−i−i3i3000i3−i30−ii00003−300000000
χ5222-2-22-1-221-22-11-2-1−2i2i11-1-1-221-222-200−2i2ii3−i3i−i-11003−333−3−3002i−2i001-100-11000i−ii3−i3000−i3i30−ii0000−3300000000
χ5344444-2-4-4-244-2-24-200-2-2-22-4-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-4-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-422-400000000000022000000004-40000000000220000000-20000000000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-422-40000000000002200000000-440000000000-2-2000000020000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-2-1-1110000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44-24-42-44-22-4-20022-224-4-24-44-4000000002-200000000000000-2200-2200000000000000000000000000000
χ6244-4-44-24-42-44-22-4-20022-224-4-2-44-44000000002-2000000000000002-2002-200000000000000000000000000000
χ6344-4-4-244-4-42-24-42-20022-2-4-2240000000000002-20000000000004i−4i000000000000000000000−2i2i000000000000
χ6444-4-4-244-4-42-24-42-20022-2-4-2240000000000002-2000000000000−4i4i0000000000000000000002i−2i000000000000
χ6544-4-4-24-44-42-24-42-24i−4i22-242-2-4000000−2i2i004i−4i-2200000000000000000000000−2i2i000000000000000000000000
χ6644-4-4-24-44-42-24-42-2−4i4i22-242-2-40000002i−2i00−4i4i-22000000000000000000000002i−2i000000000000000000000000
χ6744-4-4-2-2-4422-2-22214i−4i-1-11-22-22000000−2i2i−2i32i3−2i2i1-10023−23−3−333000000000000000i−ii3−i30000000000000000000000
χ6844-4-4-2-2-4422-2-22214i−4i-1-11-22-22000000−2i2i2i3−2i3−2i2i1-100−232333−3−3000000000000000i−i−i3i30000000000000000000000
χ6944-4-4-2-2-4422-2-2221−4i4i-1-11-22-220000002i−2i−2i32i32i−2i1-100−232333−3−3000000000000000−iii3−i30000000000000000000000
χ7044-4-4-2-2-4422-2-2221−4i4i-1-11-22-220000002i−2i2i3−2i32i−2i1-10023−23−3−333000000000000000−ii−i3i30000000000000000000000
χ714-44-44400-44-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ724-44-44400-44-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ734-4-4444004-4-4-4-444004-4-40000000000000000000000000000000000−2i22i20000000000000000000−2i22i20000000000
χ744-4-4444004-4-4-4-444004-4-400000000000000000000000000000000002i2−2i200000000000000000002i2−2i20000000000
χ754-4-44-2400422-4-4-2-200-222000000000000000000i6−i600i6−i6i6−i600000000−2i22i20023−23000000000000000i2−i20000000000
χ764-4-44-2400422-4-4-2-200-222000000000000000000i6−i600i6−i6i6−i6000000002i2−2i200−2323000000000000000−i2i20000000000
χ774-4-44-2400422-4-4-2-200-222000000000000000000−i6i600−i6i6−i6i600000000−2i22i200−2323000000000000000i2−i20000000000
χ784-4-44-2400422-4-4-2-200-222000000000000000000−i6i600−i6i6−i6i6000000002i2−2i20023−23000000000000000−i2i20000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-844-4-444200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-40048-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800-8-44-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-4004-444-44200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-888-400-4-8-8448-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-44444-42002-2-20000000000000000002i6−2i600−i6i6−i6i600000000000000000000000000000000000000000
χ878-8-88-4-400-44444-42002-2-2000000000000000000−2i62i600i6−i6i6−i600000000000000000000000000000000000000000

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