Finite Group Databasebeta

← Group #11866219

Character table — Group #11866219

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order12223344666666344666121212122244266812121212121224242424242424242244446688121212126661212246666812121224242424224488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-111-111-1-111-1-1111111-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-111-1-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-111-11-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-11-1-111-1-11111111-1111-1-1-11-1-1-1-111-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-1-1-1111-1111111-1-111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1111-1-1-111111111-1-11-1
χ9111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-11-11111-1-1-1-1-1-11111-1-111-1-1
χ10111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111-1-111-1-111-11-1-1-1-1-1-1-1-111-1-111
χ11111111111111111-1-111111111111-1-1-11-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-111-1-111-1-1-1-111
χ12111111111111111-1-111111111111-1-1-11-1-1-1-11111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-1111-1-1-1-111-1-11-1111111-1-111-1-1-11
χ14111111111111111-1-11111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-11-1-1-1-1111111-1-111-1-1111-1
χ15111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-1-11-1-1-111-1111-1-11111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000200-22200-2-222000000000000-200000000-220000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-20000000000-20022200-2-2-2-20000000000002000000002-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000200-2-2-2002222000000000000-2000000002-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-20000000000-2002-2-20022-2-2000000000000200000000-220000
χ2122222-122-12-12-12-122-1-1-1-12-1222222-1-12-1-122-1-122-1-1-1-1-1-1000220-1-100-1-1002-1-1-1-12000-1-120-1-1-1-10000000000
χ2222222-122-12-12-12-122-1-1-1-12-122222-211-2-1-122-1-1-2-2111111000220-1-100-1-100-211-1-1-200011-20-1-1110000000000
χ2322222-122-12-12-12-122-1-1-1-12-12-2-2-2-22-1-12-1-122-1-122-1-1-1-1-1-1000-2-20110011002-1-1-1-1-200011-2011110000000000
χ2422222-122-12-12-12-122-1-1-1-12-12-2-2-2-2-211-2-1-122-1-1-2-2111111000-2-2011001100-211-1-12000-1-12011-1-10000000000
χ2522222-122-12-12-12-1-2-2-1-1-1-12-1222222-1-1-211-2-2-1-1-2-2111111000-2-20-1-100-1-1002-1-1112000-1-1-2011110000000000
χ2622222-122-12-12-12-1-2-2-1-1-1-12-122222-211211-2-2-1-122-1-1-1-1-1-1000-2-20-1-100-1-100-21111-2000112011-1-10000000000
χ2722222-122-12-12-12-1-2-2-1-1-1-12-12-2-2-2-22-1-1-211-2-2-1-1-2-2111111000220110011002-1-111-20001120-1-1-1-10000000000
χ2822222-122-12-12-12-1-2-2-1-1-1-12-12-2-2-2-2-211211-2-2-1-122-1-1-1-1-1-100022011001100-211112000-1-1-20-1-1110000000000
χ292222-12222-12-12-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-1222002002200-1-1-1-1-1-1-102-1-1000-10000-1-1000000-10
χ302222-12222-12-12-1-122-1-1-12-12-10000222222-1-1-1-1-1-122-1-1-1-1-2-2-200-200-2-20011-1-1-1-1-10-211000100001100000010
χ312222-12222-12-12-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-111-2-2111122200200-2-200-1-1111-1-10-2-1-1000-100001100000010
χ322222-12222-12-12-1-122-1-1-12-12-10000-2-2-2-222-1-1-1-111-2-21111-2-2-200-200220011111-1-1021100010000-1-1000000-10
χ332222-12222-12-12-1-1-2-2-1-1-12-12-10000222-2-2-211-1-111-2-2111122-200-200220011-1-1-1110-2-1-100010000-1-100000010
χ342222-12222-12-12-1-1-2-2-1-1-12-12-10000222-2-2-211-1-111-2-21111-2-2200200-2-200-1-1-1-1-1110211000-1000011000000-10
χ352222-12222-12-12-1-1-2-2-1-1-12-12-10000-2-2-22-2-211-1-1-1-122-1-1-1-122-200-200-2-200111111102-1-10001000011000000-10
χ362222-12222-12-12-1-1-2-2-1-1-12-12-10000-2-2-22-2-211-1-1-1-122-1-1-1-1-2-22002002200-1-1111110-211000-10000-1-100000010
χ3722-2-2222-2-2-22-2-2222i−2i-22-222-2-22-22-200002i−2i2i−2i2-2000000000002i−2i02-2002-2000002i−2i000000002i−2i000000000000
χ3822-2-2222-2-2-22-2-2222i−2i-22-222-2-2-22-2200002i−2i2i−2i2-200000000000−2i2i0-2200-22000002i−2i00000000−2i2i000000000000
χ3922-2-2222-2-2-22-2-222−2i2i-22-222-2-22-22-20000−2i2i−2i2i2-200000000000−2i2i02-2002-200000−2i2i00000000−2i2i000000000000
χ4022-2-2222-2-2-22-2-222−2i2i-22-222-2-2-22-220000−2i2i−2i2i2-2000000000002i−2i0-2200-2200000−2i2i000000002i−2i000000000000
χ4122-2-222-22-2-22-2-22200-22-2-2-2222-2-2200000000-22000000002-200002-200-220000000002-200000000002-2000000
χ4222-2-222-22-2-22-2-22200-22-2-2-2222-2-2200000000-2200000000-2200002-200-22000000000-220000000000-22000000
χ4322-2-222-22-2-22-2-22200-22-2-2-222-222-200000000-22000000002-20000-22002-20000000002-20000000000-22000000
χ4422-2-222-22-2-22-2-22200-22-2-2-222-222-200000000-2200000000-220000-22002-2000000000-2200000000002-2000000
χ4522-2-22-12-21-2-1-212-12i−2i1-11-121-22-22-20−i3i30−ii2i−2i-11003−333−3−30002i−2i0-1100-11000−i3i3−ii0000−i3i300−ii3−30000000000
χ4622-2-22-12-21-2-1-212-12i−2i1-11-121-22-22-20i3−i30−ii2i−2i-1100−33−3−3330002i−2i0-1100-11000i3−i3−ii0000i3−i300−ii−330000000000
χ4722-2-22-12-21-2-1-212-12i−2i1-11-121-2-22-220−i3i30−ii2i−2i-11003−333−3−3000−2i2i01-1001-1000−i3i3−ii0000i3−i300i−i−330000000000
χ4822-2-22-12-21-2-1-212-12i−2i1-11-121-2-22-220i3−i30−ii2i−2i-1100−33−3−333000−2i2i01-1001-1000i3−i3−ii0000−i3i300i−i3−30000000000
χ4922-2-22-12-21-2-1-212-1−2i2i1-11-121-22-22-20−i3i30i−i−2i2i-1100−33−3−333000−2i2i0-1100-11000−i3i3i−i0000−i3i300i−i−330000000000
χ5022-2-22-12-21-2-1-212-1−2i2i1-11-121-22-22-20i3−i30i−i−2i2i-11003−333−3−3000−2i2i0-1100-11000i3−i3i−i0000i3−i300i−i3−30000000000
χ5122-2-22-12-21-2-1-212-1−2i2i1-11-121-2-22-220−i3i30i−i−2i2i-1100−33−3−3330002i−2i01-1001-1000−i3i3i−i0000i3−i300−ii3−30000000000
χ5222-2-22-12-21-2-1-212-1−2i2i1-11-121-2-22-220i3−i30i−i−2i2i-11003−333−3−30002i−2i01-1001-1000i3−i3i−i0000−i3i300−ii−330000000000
χ5344444-2-4-4-24-24-24-200-2-2-22-42-444-4-4000000002200000000000000-2-2002200000000000000000000000000000
χ5444444-2-4-4-24-24-24-200-2-2-22-42-4-4-4440000000022000000000000002200-2-200000000000000000000000000000
χ554444-24-4-44-24-24-2-200-2-2-2-42-42000000000000220000000000400-4000000-2-2000000000000200000000000000
χ564444-24-4-44-24-24-2-200-2-2-2-42-42000000000000220000000000-400400000022000000000000-200000000000000
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
χ6144-4-44-2-442-4-2-424-2002-222-4-244-4-44000000002-200000000000000-22002-200000000000000000000000000000
χ6244-4-44-2-442-4-2-424-2002-222-4-24-444-4000000002-2000000000000002-200-2200000000000000000000000000000
χ6344-4-4-244-4-4242-4-2-24i−4i2-224-2-42000000004i−4i−2i2i-220000000000000000000000000−2i2i0000000000000000000000
χ6444-4-4-244-4-4242-4-2-2−4i4i2-224-2-4200000000−4i4i2i−2i-2200000000000000000000000002i−2i0000000000000000000000
χ6544-4-4-24-44-4242-4-2-2002-22-424-20000000000002-2000000004-40000000000000000000-22000000000000000000
χ6644-4-4-24-44-4242-4-2-2002-22-424-20000000000002-200000000-4400000000000000000002-2000000000000000000
χ6744-4-4-2-24-422-222-214i−4i-11-1-2-22200000−2i32i30−2i2i−2i2i1-10023−23−3−333000000000000000i3−i3i−i0000000000000000000000
χ6844-4-4-2-24-422-222-214i−4i-11-1-2-222000002i3−2i30−2i2i−2i2i1-100−232333−3−3000000000000000−i3i3i−i0000000000000000000000
χ6944-4-4-2-24-422-222-21−4i4i-11-1-2-22200000−2i32i302i−2i2i−2i1-100−232333−3−3000000000000000i3−i3−ii0000000000000000000000
χ7044-4-4-2-24-422-222-21−4i4i-11-1-2-222000002i3−2i302i−2i2i−2i1-10023−23−3−333000000000000000−i3i3−ii0000000000000000000000
χ714-44-444004-4-44-4-4400-4-4400000000000000000000000000000000000000000000000000000000000000022−2200
χ724-44-444004-4-44-4-4400-4-44000000000000000000000000000000000000000000000000000000000000000−222200
χ734-4-444400-44-4-44-44004-4-4000000000000000000000000000000000022−2200000000000000000000022−2200000000
χ744-4-444400-44-4-44-44004-4-40000000000000000000000000000000000−2222000000000000000000000−222200000000
χ754-4-44-2400-4-2-4242-200-2220000000000000000006−6006−66−60000000022−220023−2300000000000000000−2200000000
χ764-4-44-2400-4-2-4242-200-2220000000000000000006−6006−66−600000000−222200−2323000000000000000002−200000000
χ774-4-44-2400-4-2-4242-200-222000000000000000000−6600−66−660000000022−2200−232300000000000000000−2200000000
χ784-4-44-2400-4-2-4242-200-222000000000000000000−6600−66−6600000000−22220023−23000000000000000002−200000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-8844-444-4200-22-244-4-4000000000000-220000000000000000000000000000000000000000000000000
χ818-88-88-400-4-8484-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-480084-8-4-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-444-444200-2-22000000000000000000000032−32−323200000000000000000000000000000000000000000
χ848-88-8-4-400-444-444200-2-220000000000000000000000−323232−3200000000000000000000000000000000000000000
χ858-8-888-400484-8-4-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-442002-2-200000000000000000026−2600−66−6600000000000000000000000000000000000000000
χ878-8-88-4-4004-444-442002-2-2000000000000000000−2626006−66−600000000000000000000000000000000000000000

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