Finite Group Databasebeta

← Group #11865888

Character table — Group #11865888

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444666666888888888888888888121212121212121212121216161616161818242424242424242424242424242424363636487272
order1222334466666634466612121212224444481212121212121212242424242424242422444661212121212121212124424666688121212242424242241228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111-111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1
χ31111111111111111111111111111-1-1111111111111111111-1-1-11111-1-11111111-1-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-11-1-1-1-1-11-111-1-111-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-111-1-111111-1-1-1111-1-1-111-1-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-11-111111-11-1-111-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-111111111-1-1
χ9111111111111111-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-111-1-11-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-11111111111111-11-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-11-1-11
χ11111111111111111-1-111111111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-111-1-11-11111-11-1-1-1-1-11111-1-1-11
χ12111111111111111-1-111111111111-1-1-11-1-1-1-1-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-111-111-1
χ13111111111111111-1-11111111-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-111-1-1-11-1-1-1-11-111111-1-111-11-11
χ14111111111111111-1-11111111-1-1-1-111-11-1-1-1-1-1-11111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-11111-1-11111-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-11-1-11111-1-111-1-111-1111111-1-11-11-1
χ16111111111111111-1-11111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-222-2-22200000000-2-20000000000-2002222-2-2000002200000000-200000000-2000
χ18222222-2-2222222200222-2-2-2-222-2-2-2-200000000-2-2000000000020022-2-2-2-200000-2-2000000002000000002000
χ19222222-2-2222222200222-2-2-2-2-2-2222200000000-2-20000000000-200-2-2222200000-2-200000000-2000000002000
χ20222222-2-2222222200222-2-2-2-2-2-222-2-200000000-2-20000000000200-2-2-2-222000002200000000200000000-2000
χ2122222-122-122-1-12-122-1-1-1-12-122222002222-1-1-1-1-1-122-1-1-1-1-1-100022-1-100-1-12-1-1-1-1002000-1-1200-1-1-1-100000000
χ2222222-122-122-1-12-122-1-1-1-12-12222200-2-22211-1-1-1-1-2-211111100022-1-100-1-1-2-1-11100-200011-200-1-11100000000
χ2322222-122-122-1-12-122-1-1-1-12-12-2-2-2-2002222-1-1-1-1-1-122-1-1-1-1-1-1000-2-21100112-1-1-1-100-200011-200111100000000
χ2422222-122-122-1-12-122-1-1-1-12-12-2-2-2-200-2-22211-1-1-1-1-2-2111111000-2-2110011-2-1-111002000-1-120011-1-100000000
χ2522222-122-122-1-12-1-2-2-1-1-1-12-122222002-2-2-2-1-111-1-1-2-2111111000-2-2-1-100-1-1211-1-1002000-1-1-200111100000000
χ2622222-122-122-1-12-1-2-2-1-1-1-12-12222200-22-2-21111-1-122-1-1-1-1-1-1000-2-2-1-100-1-1-2111100-20001120011-1-100000000
χ2722222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-2002-2-2-2-1-111-1-1-2-211111100022110011211-1-100-200011200-1-1-1-100000000
χ2822222-122-122-1-12-1-2-2-1-1-1-12-12-2-2-2-200-22-2-21111-1-122-1-1-1-1-1-100022110011-21111002000-1-1-200-1-11100000000
χ292222-12222-1-122-1-122-1-1-12-12-100002222-1-12222-1-1-1-122-1-1-1-12220000-1-100-1-1-1-1-10002-1-10002-10000-1-1000-100
χ302222-12222-1-122-1-122-1-1-12-12-1000022-2-2-1-1-2-222-1-111-2-211112220000-1-1001-1-111000-2-1-1000-2-1000011000100
χ312222-12222-1-122-1-122-1-1-12-12-10000-2-222-1-12222-1-1-1-122-1-1-1-1-2-2-200001100-1-1-1-1-1000-211000-21000011000100
χ322222-12222-1-122-1-122-1-1-12-12-10000-2-2-2-2-1-1-2-222-1-111-2-21111-2-2-2000011001-1-111000211000210000-1-1000-100
χ332222-12222-1-122-1-1-2-2-1-1-12-12-10000222-21122-2-2-1-111-2-21111-2-220000-1-100-111-1-1000211000-2-1000011000-100
χ342222-12222-1-122-1-1-2-2-1-1-12-12-1000022-2211-2-2-2-2-1-1-1-122-1-1-1-1-2-220000-1-10011111000-2110002-10000-1-1000100
χ352222-12222-1-122-1-1-2-2-1-1-12-12-10000-2-22-21122-2-2-1-111-2-2111122-200001100-111-1-1000-2-1-1000210000-1-1000100
χ362222-12222-1-122-1-1-2-2-1-1-12-12-10000-2-2-2211-2-2-2-2-1-1-1-122-1-1-1-122-200001100111110002-1-1000-21000011000-100
χ3722-2-2222-2-2-2-22-2222i−2i-2-2222-2-22-22-200002i−2i002i−2i2-2000000000002i−2i2-2002-202i−2i00000000000002i−2i0000000000
χ3822-2-2222-2-2-2-22-2222i−2i-2-2222-2-2-22-2200002i−2i002i−2i2-200000000000−2i2i-2200-2202i−2i0000000000000−2i2i0000000000
χ3922-2-2222-2-2-2-22-222−2i2i-2-2222-2-22-22-20000−2i2i00−2i2i2-200000000000−2i2i2-2002-20−2i2i0000000000000−2i2i0000000000
χ4022-2-2222-2-2-2-22-222−2i2i-2-2222-2-2-22-220000−2i2i00−2i2i2-2000000000002i−2i-2200-220−2i2i00000000000002i−2i0000000000
χ4122-2-222-22-2-2-22-22200-2-22-2-2222-2-220000000000-22000000002-20002-200-220000000002-2000000000002-20000
χ4222-2-222-22-2-2-22-22200-2-22-2-2222-2-220000000000-2200000000-220002-200-22000000000-2200000000000-220000
χ4322-2-222-22-2-2-22-22200-2-22-2-222-222-20000000000-22000000002-2000-22002-20000000002-200000000000-220000
χ4422-2-222-22-2-2-22-22200-2-22-2-222-222-20000000000-2200000000-22000-22002-2000000000-22000000000002-20000
χ4522-2-22-12-21-2-2-112-12i−2i11-1-121-22-22-200002i−2i−i3i3−ii-11003−333−3−30002i−2i-1100-110−ii−i3i3000000−i3i3000−ii3−300000000
χ4622-2-22-12-21-2-2-112-12i−2i11-1-121-22-22-200002i−2ii3−i3−ii-1100−33−3−3330002i−2i-1100-110−iii3−i3000000i3−i3000−ii−3300000000
χ4722-2-22-12-21-2-2-112-12i−2i11-1-121-2-22-2200002i−2i−i3i3−ii-11003−333−3−3000−2i2i1-1001-10−ii−i3i3000000i3−i3000i−i−3300000000
χ4822-2-22-12-21-2-2-112-12i−2i11-1-121-2-22-2200002i−2ii3−i3−ii-1100−33−3−333000−2i2i1-1001-10−iii3−i3000000−i3i3000i−i3−300000000
χ4922-2-22-12-21-2-2-112-1−2i2i11-1-121-22-22-20000−2i2i−i3i3i−i-1100−33−3−333000−2i2i-1100-110i−i−i3i3000000−i3i3000i−i−3300000000
χ5022-2-22-12-21-2-2-112-1−2i2i11-1-121-22-22-20000−2i2ii3−i3i−i-11003−333−3−3000−2i2i-1100-110i−ii3−i3000000i3−i3000i−i3−300000000
χ5122-2-22-12-21-2-2-112-1−2i2i11-1-121-2-22-220000−2i2i−i3i3i−i-1100−33−3−3330002i−2i1-1001-10i−i−i3i3000000i3−i3000−ii3−300000000
χ5222-2-22-12-21-2-2-112-1−2i2i11-1-121-2-22-220000−2i2ii3−i3i−i-11003−333−3−30002i−2i1-1001-10i−ii3−i3000000−i3i3000−ii−3300000000
χ5344444-2-4-4-244-2-24-200-2-2-22-42-444-4-40000000000220000000000000-2-200220000000000000000000000000000
χ5444444-2-4-4-244-2-24-200-2-2-22-42-4-4-44400000000002200000000000002200-2-20000000000000000000000000000
χ554444-24-4-44-2-244-2-200-2-2-2-42-4200004400000000220000000000-40000-2-2000000000000000002000000000000
χ564444-24-4-44-2-244-2-200-2-2-2-42-420000-4-400000000220000000000400002200000000000000000-2000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-200000044-2-2-2-2-2-211-2-2-2-2111100000000000-2111100000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-2000000-4-4-2-222-2-2112222-1-1-1-100000000000211-1-100000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000004-422-2-222112222-1-1-1-100000000000-2-1-11100000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2000000-4422222211-2-2-2-21111000000000002-1-1-1-100000000000000000000000
χ6144-4-44-2-442-4-4-224-20022-22-4-244-4-4400000000002-20000000000000-22002-20000000000000000000000000000
χ6244-4-44-2-442-4-4-224-20022-22-4-24-444-400000000002-200000000000002-200-220000000000000000000000000000
χ6344-4-4-244-4-4224-4-2-24i−4i22-24-2-4200000000−2i2i004i−4i-2200000000000000000000−2i2i0000000000000000000000000
χ6444-4-4-244-4-4224-4-2-2−4i4i22-24-2-42000000002i−2i00−4i4i-22000000000000000000002i−2i0000000000000000000000000
χ6544-4-4-24-44-4224-4-2-20022-2-424-2000000000000002-2000000004-4000000000000000000-2200000000000000000
χ6644-4-4-24-44-4224-4-2-20022-2-424-2000000000000002-200000000-440000000000000000002-200000000000000000
χ6744-4-4-2-24-4222-22-214i−4i-1-11-2-22200000000−2i2i−2i32i3−2i2i1-10023−23−3−333000000000000i−ii3−i300000000000000000000000
χ6844-4-4-2-24-4222-22-214i−4i-1-11-2-22200000000−2i2i2i3−2i3−2i2i1-100−232333−3−3000000000000i−i−i3i300000000000000000000000
χ6944-4-4-2-24-4222-22-21−4i4i-1-11-2-222000000002i−2i−2i32i32i−2i1-100−232333−3−3000000000000−iii3−i300000000000000000000000
χ7044-4-4-2-24-4222-22-21−4i4i-1-11-2-222000000002i−2i2i3−2i32i−2i1-10023−23−3−333000000000000−ii−i3i300000000000000000000000
χ714-44-4440044-4-4-4-44004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000
χ724-44-4440044-4-4-4-44004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000
χ734-4-444400-4-44-44-4400-44-4000000004-400000000000000000000000004-4000000000000000000000000000000
χ744-4-444400-4-44-44-4400-44-400000000-440000000000000000000000000-44000000000000000000000000000000
χ754-4-44-2400-42-2-442-2002-22000000004-400000000006−6006−66−60000000-2200000000000000000000006−6000000
χ764-4-44-2400-42-2-442-2002-22000000004-40000000000−6600−66−660000000-220000000000000000000000−66000000
χ774-4-44-2400-42-2-442-2002-2200000000-4400000000006−6006−66−600000002-20000000000000000000000−66000000
χ784-4-44-2400-42-2-442-2002-2200000000-440000000000−6600−66−6600000002-200000000000000000000006−6000000
χ798888-4-4-8-8-4-4-4-4-4-4200222444400000000000000-2-200000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88444-44-4200-2-2244-4-400000000000000-2200000000000000000000000000000000000000000000000
χ818-88-88-400-48-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-48008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-4-444442002-2-200000000000000000000000032−32−3232000000000000000000000000000000000000000
χ848-88-8-4-400-4-444442002-2-2000000000000000000000000−323232−32000000000000000000000000000000000000000
χ858-8-888-4004-884-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-44200-22-20000000000000000000026−2600−66−66000000000000000000000000000000000000000
χ878-8-88-4-40044-44-44200-22-200000000000000000000−2626006−66−6000000000000000000000000000000000000000

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