Finite Group Databasebeta

← Group #11796553

Character table — Group #11796553

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222224444444446666888888888888881212121212121616161616161616242424242424242424242424242448484872727272
order12233663444666121244121268812121212121212242424242226612121224242424242424668888121224242424624242488
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-1-1
χ4111111111111111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-1-1
χ61111111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111111-1-1-1-111
χ81111111111111111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-11111-1-1
χ9111111111-1-1111-1-111111i−i11-1-1-1-1-1ii−i−i1-1-1-1-111-1iii−i−i−i1-11-1i−ii−i-1-1ii−i−i1i−i1-1i−i
χ10111111111-1-1111-1-111111i−i11-1-1-1-1-1ii−i−i1-1-1-1-111-1iii−i−i−i-111-1i−i−ii11ii−i−i-1−ii-11−ii
χ11111111111-1-1111-1-111111−ii11-1-1-1-1-1−i−iii1-1-1-1-111-1−i−i−iiii1-11-1−ii−ii-1-1−i−iii1−ii1-1−ii
χ12111111111-1-1111-1-111111−ii11-1-1-1-1-1−i−iii1-1-1-1-111-1−i−i−iiii-111-1−iii−i11−i−iii-1i−i-11i−i
χ13111111111-1-1111-1-1-1-1-1-11i−i11-1-1-1-1-1ii−i−i-11111-11-1iii−i−i−i1-1-11−iii−i-1-1−i−iii1i−i-11−ii
χ14111111111-1-1111-1-1-1-1-1-11i−i11-1-1-1-1-1ii−i−i-11111-11-1iii−i−i−i-11-11−ii−ii11−i−iii-1−ii1-1i−i
χ15111111111-1-1111-1-1-1-1-1-11−ii11-1-1-1-1-1−i−iii-11111-11-1−i−i−iiii1-1-11i−i−ii-1-1ii−i−i1−ii-11i−i
χ16111111111-1-1111-1-1-1-1-1-11−ii11-1-1-1-1-1−i−iii-11111-11-1−i−i−iiii-11-11i−ii−i11ii−i−i-1i−i1-1−ii
χ1722222222-22-2222222222200-2-2-2222-20000-22-2222-2-200000000-2-200000000000000000
χ1822222222-22-222222-2-2-2-2200-2-2-2222-200002-22-2-2-2-2-2000000002200000000000000000
χ1922222222-2-22222-2-22222200-2-22-2-2-220000-2-22-2-22-2200000000-2200000000000000000
χ2022222222-2-22222-2-2-2-2-2-2200-2-22-2-2-22000022-222-2-22000000002-200000000000000000
χ212222-12-1-1222-12-1-1-122-1-1-1222-1-12-1-12-1-1-1-1222-1-1-1-1-12-1-12-1-100-1-1220000-1-1-1-10000000
χ222222-12-1-1222-12-1-1-122-1-1-1-2-22-1-12-1-121111222-1-1-1-1-1-211-21100-1-1-2-2000011110000000
χ232222-12-1-1222-12-1-1-1-2-211-1222-1-12-1-12-1-1-1-1-2-2-2111-1-12-1-12-1-10011-2-2000011110000000
χ242222-12-1-1222-12-1-1-1-2-211-1-2-22-1-12-1-121111-2-2-2111-1-1-211-2110011220000-1-1-1-10000000
χ252222-12-1-12-2-2-12-11122-1-1-12i−2i2-11-211-2−i−iii2-2-211-1-112i−i−i−2iii00-112i−2i0000−i−iii0000000
χ262222-12-1-12-2-2-12-11122-1-1-1−2i2i2-11-211-2ii−i−i2-2-211-1-11−2iii2i−i−i00-11−2i2i0000ii−i−i0000000
χ272222-12-1-12-2-2-12-111-2-211-12i−2i2-11-211-2−i−iii-222-1-11-112i−i−i−2iii001-1−2i2i0000ii−i−i0000000
χ282222-12-1-12-2-2-12-111-2-211-1−2i2i2-11-211-2ii−i−i-222-1-11-11−2iii2i−i−i001-12i−2i0000−i−iii0000000
χ292222-12-1-1-22-2-12-1-1-122-1-1-100-2112-1-1-2−i3i3−i3i3-22-2-1-1-1110−i3i30−i3i30011000000−i3i3−i3i30000000
χ302222-12-1-1-22-2-12-1-1-122-1-1-100-2112-1-1-2i3−i3i3−i3-22-2-1-1-1110i3−i30i3−i30011000000i3−i3i3−i30000000
χ312222-12-1-1-22-2-12-1-1-1-2-211-100-2112-1-1-2−i3i3−i3i32-22111110−i3i30−i3i300-1-1000000i3−i3i3−i30000000
χ322222-12-1-1-22-2-12-1-1-1-2-211-100-2112-1-1-2i3−i3i3−i32-22111110i3−i30i3−i300-1-1000000−i3i3−i3i30000000
χ332222-12-1-1-2-22-12-11122-1-1-100-21-1-21123−3−33-2-2211-11-103−30−33001-10000003−3−330000000
χ342222-12-1-1-2-22-12-11122-1-1-100-21-1-2112−333−3-2-2211-11-10−3303−3001-1000000−333−30000000
χ352222-12-1-1-2-22-12-111-2-211-100-21-1-21123−3−3322-2-1-111-103−30−3300-11000000−333−30000000
χ362222-12-1-1-2-22-12-111-2-211-100-21-1-2112−333−322-2-1-111-10−3303−300-110000003−3−330000000
χ37222-12-12-12222-1-1220000-122-122-1-1-1-12222000000-1-1-1-1-1-1-1-122000022-1-10000-1-1-10000
χ38222-12-12-12222-1-1220000-122-122-1-1-1-12222000000-1-1-1-1-1-1-1-1-2-20000-2-21100001110000
χ39222-12-12-12222-1-1220000-1-2-2-122-1-1-1-1-2-2-2-2000000-1-1111111220000-2-2-1-10000-1110000
χ40222-12-12-12222-1-1220000-1-2-2-122-1-1-1-1-2-2-2-2000000-1-1111111-2-20000221100001-1-10000
χ41222-12-12-12-2-22-1-1-2-20000-12i−2i-12-211112i2i−2i−2i000000-11−i−i−iiii2-200002i−2i110000-1−ii0000
χ42222-12-12-12-2-22-1-1-2-20000-12i−2i-12-211112i2i−2i−2i000000-11−i−i−iiii-220000−2i2i-1-100001i−i0000
χ43222-12-12-12-2-22-1-1-2-20000-1−2i2i-12-21111−2i−2i2i2i000000-11iii−i−i−i2-20000−2i2i110000-1i−i0000
χ44222-12-12-12-2-22-1-1-2-20000-1−2i2i-12-21111−2i−2i2i2i000000-11iii−i−i−i-2200002i−2i-1-100001−ii0000
χ45444-24-24-2-44-44-2-2440000-2002-4-4-2-2-22000000000022000000000000000000000000000
χ46444-24-24-2-4-444-2-2-4-40000-2002-44222-200000000002-2000000000000000000000000000
χ47444-2-2-2-21444-2-21-2-20000144-2-2-2-211-2-2-2-2-200000011-211-211000000000000000000000
χ48444-2-2-2-21444-2-21-2-200001-4-4-2-2-2-211-22222000000112-1-12-1-1000000000000000000000
χ49444-2-2-2-214-4-4-2-2122000014i−4i-2-222-1-12−2i−2i2i2i0000001-1−2iii2i−i−i000000000000000000000
χ50444-2-2-2-214-4-4-2-212200001−4i4i-2-222-1-122i2i−2i−2i0000001-12i−i−i−2iii000000000000000000000
χ51444-2-2-2-21-44-4-2-21-2-20000100222-2112−2i32i3−2i32i3000000-1-10i3−i30i3−i3000000000000000000000
χ52444-2-2-2-21-44-4-2-21-2-20000100222-21122i3−2i32i3−2i3000000-1-10−i3i30−i3i3000000000000000000000
χ53444-2-2-2-21-4-44-2-2122000010022-22-1-1-223−23−2323000000-110−3303−3000000000000000000000
χ54444-2-2-2-21-4-44-2-2122000010022-22-1-1-2−232323−23000000-1103−30−33000000000000000000000
χ5544-444444000-4-44004-444-4000000000000000000-400000000000000000000000000000
χ5644-444444000-4-4400-44-4-4-4000000000000000000400000000000000000000000000000
χ5744-44-24-2-20002-4-2−2i32i34-4-2-22000000−2i32i300000000−2i32i3200000000000000000000000000000
χ5844-44-24-2-20002-4-2−2i32i3-44222000000−2i32i3000000002i3−2i3-200000000000000000000000000000
χ5944-44-24-2-20002-4-22i3−2i34-4-2-220000002i3−2i3000000002i3−2i3200000000000000000000000000000
χ6044-44-24-2-20002-4-22i3−2i3-442220000002i3−2i300000000−2i32i3-200000000000000000000000000000
χ6188-8-48-48-4000-84-40000004000000000000000000000000000000000000000000000000
χ6288-8-4-4-4-42000442−4i34i30000-20000002i3−2i30000000000000000000000000000000000000000
χ6388-8-4-4-4-420004424i3−4i30000-2000000−2i32i30000000000000000000000000000000000000000
χ648-8088-8-8800000-80000000000000000000000000000000000000000000000000000000
χ658-808-4-84-4000004000043−430000000000000000000000000000000000000000000000000
χ668-808-4-84-40000040000−43430000000000000000000000000000000000000000000000000
χ678-80-484-8-400000400000000000000000000000000000000000000000023−2300000000000
χ688-80-484-8-4000004000000000000000000000000000000000000000000−232300000000000
χ6916-160-8-888400000-40000000000000000000000000000000000000000000000000000000

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