Finite Group Databasebeta

← Group #11868998

Character table — Group #11868998

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order122233446666663446661212121222444812121212121212122424242424242424224444668812121212121212121244668121212121224242424224488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-111-1-111-1-1111111-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-111-1-1-1-111-1111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-111-1-11111111-1111-11-1-1-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-111-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11-1-1-11111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11-1-1111-111-1-1-1-111-1-11111-1-111-1-1
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-11111-1-1-11-1-111-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-11-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-11-1-111-1-1111-111-1-11111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-111-11-1-11111-1-111-1-111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-22200-2-2220000000000-20000000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-20022200-2-2-2-20000000000200000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2-2-20022220000000000-200000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-20022-2-2000000000020000000000-220000
χ2122222-122-1-1222-1-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1222002002200-1-1-1-1-1-1-102-1-10-1000000-1-1000000-10
χ2222222-122-1-1222-1-122-1-1-1-12-120000222222-1-1-1-122-1-1-1-1-1-1-2-2-200-200-2-20011-1-1-1-1-10-211010000001100000010
χ2322222-122-1-1222-1-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-211111122200200-2-200-1-11-1-1110-2-1-10-10000001100000010
χ2422222-122-1-1222-1-122-1-1-1-12-120000-2-222-2-2-1-1-1-1-2-2111111-2-2-200-2002200111-1-111021101000000-1-1000000-10
χ2522222-122-1-1222-1-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-211111122-200-200220011-111-1-10-2-1-101000000-1-100000010
χ2622222-122-1-1222-1-1-2-2-1-1-1-12-1200002-2-2-22211-1-1-2-2111111-2-2200200-2-200-1-1-111-1-102110-100000011000000-10
χ2722222-122-1-1222-1-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-122-200-200-2-200111111102-1-10100000011000000-10
χ2822222-122-1-1222-1-1-2-2-1-1-1-12-120000-22-2-2-2-211-1-122-1-1-1-1-1-1-2-22002002200-1-1111110-2110-1000000-1-100000010
χ292222-122222-1-1-12-122-1-1-12-12-1222222-1-1-1-122-1-1-1-122-1-1-1-1000220-1-100-1-1002-1-1-1-1200020-1-1-1-1-1-10000000000
χ302222-122222-1-1-12-122-1-1-12-12-12222-2-2-1-11122-1-111-2-21111000220-1-100-1-100-2-1-111-2000-20-1-111110000000000
χ312222-122222-1-1-12-122-1-1-12-12-1-2-2-2-222-1-1-1-122-1-1-1-122-1-1-1-1000-2-20110011002-1-1-1-1-2000-201111110000000000
χ322222-122222-1-1-12-122-1-1-12-12-1-2-2-2-2-2-2-1-11122-1-111-2-21111000-2-2011001100-2-1-11120002011-1-1-1-10000000000
χ332222-122222-1-1-12-1-2-2-1-1-12-12-122222-211-1-1-2-2-1-111-2-21111000-2-20-1-100-1-100211-1-12000-2011-1-1110000000000
χ342222-122222-1-1-12-1-2-2-1-1-12-12-12222-221111-2-2-1-1-1-122-1-1-1-1000-2-20-1-100-1-100-21111-2000201111-1-10000000000
χ352222-122222-1-1-12-1-2-2-1-1-12-12-1-2-2-2-22-211-1-1-2-2-1-111-2-2111100022011001100211-1-1-200020-1-111-1-10000000000
χ362222-122222-1-1-12-1-2-2-1-1-12-12-1-2-2-2-2-221111-2-2-1-1-1-122-1-1-1-100022011001100-211112000-20-1-1-1-1110000000000
χ3722-2-2222-22-22-2-2-2200-22-222-2-22-22-2000000002-2000000002-200002-2002-20000000002-200000000002-2000000
χ3822-2-2222-22-22-2-2-2200-22-222-2-22-22-2000000002-200000000-2200002-2002-2000000000-220000000000-22000000
χ3922-2-2222-22-22-2-2-2200-22-222-2-2-22-22000000002-2000000002-20000-2200-220000000002-20000000000-22000000
χ4022-2-2222-22-22-2-2-2200-22-222-2-2-22-22000000002-200000000-220000-2200-22000000000-2200000000002-2000000
χ4122-2-222-222-22-2-2-222i−2i-22-2-2-2222-2-22002i−2i002i−2i-22000000000002i−2i02-200-220002i−2i000000002i−2i00000000000000
χ4222-2-222-222-22-2-2-222i−2i-22-2-2-222-222-2002i−2i002i−2i-2200000000000−2i2i0-22002-20002i−2i00000000−2i2i00000000000000
χ4322-2-222-222-22-2-2-22−2i2i-22-2-2-2222-2-2200−2i2i00−2i2i-2200000000000−2i2i02-200-22000−2i2i00000000−2i2i00000000000000
χ4422-2-222-222-22-2-2-22−2i2i-22-2-2-222-222-200−2i2i00−2i2i-22000000000002i−2i0-22002-2000−2i2i000000002i−2i00000000000000
χ4522-2-2-12-222-2-111-2-12i−2i1-11-212-12-2-2200−ii3−32i−2i1-1−i3i300−i3−i3i3i30002i−2i0-11001-1000−ii3−3000000−ii3−3−i3i30000000000
χ4622-2-2-12-222-2-111-2-12i−2i1-11-212-12-2-2200−ii−332i−2i1-1i3−i300i3i3−i3−i30002i−2i0-11001-1000−ii−33000000−ii−33i3−i30000000000
χ4722-2-2-12-222-2-111-2-12i−2i1-11-212-1-222-200−ii3−32i−2i1-1−i3i300−i3−i3i3i3000−2i2i01-100-11000−ii3−3000000i−i−33i3−i30000000000
χ4822-2-2-12-222-2-111-2-12i−2i1-11-212-1-222-200−ii−332i−2i1-1i3−i300i3i3−i3−i3000−2i2i01-100-11000−ii−33000000i−i3−3−i3i30000000000
χ4922-2-2-12-222-2-111-2-1−2i2i1-11-212-12-2-2200i−i3−3−2i2i1-1i3−i300i3i3−i3−i3000−2i2i0-11001-1000i−i3−3000000i−i3−3i3−i30000000000
χ5022-2-2-12-222-2-111-2-1−2i2i1-11-212-12-2-2200i−i−33−2i2i1-1−i3i300−i3−i3i3i3000−2i2i0-11001-1000i−i−33000000i−i−33−i3i30000000000
χ5122-2-2-12-222-2-111-2-1−2i2i1-11-212-1-222-200i−i3−3−2i2i1-1i3−i300i3i3−i3−i30002i−2i01-100-11000i−i3−3000000−ii−33−i3i30000000000
χ5222-2-2-12-222-2-111-2-1−2i2i1-11-212-1-222-200i−i−33−2i2i1-1−i3i300−i3−i3i3i30002i−2i01-100-11000i−i−33000000−ii3−3i3−i30000000000
χ5344444-2-4-4-2-2444-2-200-2-2-22-42-4000000000000220000000000400-4000000-2-2000000000020000000000000000
χ5444444-2-4-4-2-2444-2-200-2-2-22-42-4000000000000220000000000-4004000000220000000000-20000000000000000
χ554444-24-4-444-2-2-24-200-2-2-2-42-4244-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ564444-24-4-444-2-2-24-200-2-2-2-42-42-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-100000000000000211-1-10000000000000000000000
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
χ6144-4-44-24-4-224-4-42-2002-22-242-4000000000000-22000000004-40000000000000000000-22000000000000000000
χ6244-4-44-24-4-224-4-42-2002-22-242-4000000000000-2200000000-4400000000000000000002-2000000000000000000
χ6344-4-44-2-44-224-4-42-24i−4i2-222-4-240000004i−4i00−2i2i2-200000000000000000000000−2i2i000000000000000000000000
χ6444-4-44-2-44-224-4-42-2−4i4i2-222-4-24000000−4i4i002i−2i2-2000000000000000000000002i−2i000000000000000000000000
χ6544-4-4-244-44-4-222-4-2002-224-2-424-44-400000000-2200000000000000-2200-2200000000000000000000000000000
χ6644-4-4-244-44-4-222-4-2002-224-2-42-44-4400000000-22000000000000002-2002-200000000000000000000000000000
χ6744-4-4-2-2-44-22-222214i−4i-11-122-2-2000000−2i2i23−23−2i2i-11−2i32i300i3i3−i3−i3000000000000000i−i−330000000000000000000000
χ6844-4-4-2-2-44-22-222214i−4i-11-122-2-2000000−2i2i−2323−2i2i-112i3−2i300−i3−i3i3i3000000000000000i−i3−30000000000000000000000
χ6944-4-4-2-2-44-22-22221−4i4i-11-122-2-20000002i−2i23−232i−2i-112i3−2i300−i3−i3i3i3000000000000000−ii−330000000000000000000000
χ7044-4-4-2-2-44-22-22221−4i4i-11-122-2-20000002i−2i−23232i−2i-11−2i32i300i3i3−i3−i3000000000000000−ii3−30000000000000000000000
χ714-44-44400-4-4-4-444400-4-44000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ724-44-44400-4-4-4-444400-4-440000000000000000000000000000000000−2222000000000000000000000−222200000000
χ734-44-44-20022-4-44-2-20022-200000000000000000000i6−i6i6−i6i6−i60000000022−2200−2i32i300000000000000000−2200000000
χ744-44-44-20022-4-44-2-20022-200000000000000000000i6−i6i6−i6i6−i600000000−2222002i3−2i3000000000000000002−200000000
χ754-44-44-20022-4-44-2-20022-200000000000000000000−i6i6−i6i6−i6i60000000022−22002i3−2i300000000000000000−2200000000
χ764-44-44-20022-4-44-2-20022-200000000000000000000−i6i6−i6i6−i6i600000000−222200−2i32i3000000000000000002−200000000
χ774-4-444400-44-44-4-44004-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ784-4-444400-44-44-4-44004-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-48-8-44-4444200-22-2-4-4440000000000002-20000000000000000000000000000000000000000000000000
χ818-88-8-4800-8-844-48-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004444-4-4200-2-22000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-4200-2-2200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ848-8-888-4004-4-88-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-884-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-4442002-2-2000000000000000000000032−32−323200000000000000000000000000000000000000000
χ878-8-88-4-4004-44-4442002-2-20000000000000000000000−323232−3200000000000000000000000000000000000000000

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