Finite Group Databasebeta

← Group #11790504

Character table — Group #11790504

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212128888668812122424242424242424242424242424242444448824242424242424244488121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ911-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1111111-1-11-11-11-111-1-1111111-1-1-1-1-1-1i−ii−i1-11111-1-1-1-1i−i1-1i−ii−iii−i−i11-1-1ii−i−ii−i
χ1011-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1111111-1-11-11-11-111-1-1111111-1-1-1-1-1-1−ii−ii1-11111-1-1-1-1−ii1-1−ii−ii−i−iii11-1-1−i−iii−ii
χ1111-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1111111-1-11-1-111-1-1-111-1-1-1-1-1-1111111i−ii−i1-11111-1-1-1-1−ii-11i−ii−i−i−iii-1-111ii−i−i−ii
χ1211-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1111111-1-11-1-111-1-1-111-1-1-1-1-1-1111111−ii−ii1-11111-1-1-1-1i−i-11−ii−iiii−i−i-1-111−i−iiii−i
χ1311-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1111-11-11-111-1-1111111-1-1-1-1-1-1i−ii−i-11-1-1-1-11111i−i-11i−ii−iii−i−i-1-111−i−iii−ii
χ1411-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1111-11-11-111-1-1111111-1-1-1-1-1-1−ii−ii-11-1-1-1-11111−ii-11−ii−ii−i−iii-1-111ii−i−ii−i
χ1511-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1111-1-111-1-1-111-1-1-1-1-1-1111111i−ii−i-11-1-1-1-11111−ii1-1i−ii−i−i−iii11-1-1−i−iiii−i
χ1611-1-11-111-111-1-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-11111-1-1111-1-111-1-1-111-1-1-1-1-1-1111111−ii−ii-11-1-1-1-11111i−i1-1−ii−iiii−i−i11-1-1ii−i−i−ii
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-200000000000000000000000000000000000000000000002i−2i2i−2i00
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-200002200-2-20000000000000000000000000000000000000000000000−2i2i−2i2i00
χ192222222-12222222-1-1-12222-12-12-1-1-1-1-12-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000002200-1-1-1-1-1-1-1-10000000000
χ202222222-12222222-1-1-12222-12-12-1-1-1-1-12-1-1-1-1-1-1-120000-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-200111111110000000000
χ212222222-12222222-1-1-12222-12-12-1-1-1-1-12-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-211111111111122220000000000-2-200-1-1-1-111110000000000
χ222222222-12222222-1-1-12222-12-12-1-1-1-1-12-1-1-1-1-1-1-120000-1-1-2-2-1-1-2-2-2-2111111111111-2-2-2-2000000000022001111-1-1-1-10000000000
χ23222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-12-122-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1002200000000-1-1-1-1000000
χ24222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-12-122-1-12-1-1-12222-1-1-2-2-1-11111-2-21111-2-21111000022-1-1-1-1-1-1-1-100-2-2000000001111000000
χ25222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-12-122-1-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10000-2-21111111100-2-2000000001111000000
χ26222222-122222-1-1-1222-1-1-1-1-1-12-12-1-1-12-122-1-12-1-1-1-2-2-2-2-1-1-2-2-1-11111-2-21111-2-211110000-2-211111111002200000000-1-1-1-1000000
χ272222-2-2222-22-222222222222-2-2-2-2222-2-22-222222-20000-2-200-2-2000000000000000022-2-20000000000000022-2-200000000000000
χ282222-2-2222-22-222222222222-2-2-2-2222-2-22-222222-20000-2-200-2-20000000000000000-2-22200000000000000-2-22200000000000000
χ292222-2-222-22-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-222222-2-2002200000000000000000000-2-222-2-222-2-20000000000000000000000
χ302222-2-222-22-22222222-2-2-2-22-2-2-2-222222-22-2-2-2-2-22-2-2-2-2-2-200220000000000000000000022-2-222-2-2220000000000000000000000
χ312222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-11-2-11-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i322-2-200000000000000-1-111−i3i3−i3i30000000000
χ322222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-11-2-11-1-1-1-1-1-200001100110000−i3i3−i3−i3i3i3−i3i3−i3−i3i3i3-2-2220000000000000011-1-1i3−i3i3−i30000000000
χ332222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-11-2-11-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i322-2-200000000000000-1-111i3−i3i3−i30000000000
χ342222-2-22-12-22-2222-1-1-12222-1-21-21-1-1-11-2-11-1-1-1-1-1-200001100110000i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3-2-2220000000000000011-1-1−i3i3−i3i30000000000
χ352222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-12-1-2211-211-122221100-1-13−33−3003−33−3003−33−30000-2-2-1-111-1-1110000000000003−33−3000000
χ362222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-12-1-2211-211-122221100-1-1−33−3300−33−3300−33−330000-2-2-1-111-1-111000000000000−33−33000000
χ372222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-12-1-2211-211-1-2-2-2-21100-1-13−33−3003−33−3003−33−300002211-1-111-1-1000000000000−33−33000000
χ382222-2-2-12-22-22-1-1-12221111-11-21-2-1-1-12-1-2211-211-1-2-2-2-21100-1-1−33−3300−33−3300−33−3300002211-1-111-1-10000000000003−33−3000000
χ3922-2-22-2222-2-22-2-222-2-222-2-2222-2-2-2-22-222222-2-2-2-200002-200-2200000000000000000000000000000000000000000000002-2-2200
χ4022-2-22-2222-2-22-2-222-2-222-2-2222-2-2-2-22-222222-2-2-2-200002-200-220000000000000000000000000000000000000000000000-222-200
χ4122-2-22-22-1-222-2-2-22-111-2-222-12-1-2111-1-1-21111-1-1-120000-112-2-1122-2-2-1-1-1-1-1-11111112i−2i2i−2i00000000002i−2i00−ii−ii−i−iii0000000000
χ4222-2-22-22-1-222-2-2-22-111-2-222-12-1-2111-1-1-21111-1-1-120000-112-2-1122-2-2-1-1-1-1-1-1111111−2i2i−2i2i0000000000−2i2i00i−ii−iii−i−i0000000000
χ4322-2-22-22-1-222-2-2-22-111-2-222-12-1-2111-1-1-21111-1-1-120000-11-22-11-2-222111111-1-1-1-1-1-12i−2i2i−2i0000000000−2i2i00−ii−iiii−i−i0000000000
χ4422-2-22-22-1-222-2-2-22-111-2-222-12-1-2111-1-1-21111-1-1-120000-11-22-11-2-222111111-1-1-1-1-1-1−2i2i−2i2i00000000002i−2i00i−ii−i−i−iii0000000000
χ4522-2-22-2-12-222-211-12-2-211-1-1-1-121-211-121-2-2112-1-1-122-2-2-112-2-11-1-11122-1-1-1-1-2-2111100002-2-1-1-1-11111002-200000000-1-111000000
χ4622-2-22-2-12-222-211-12-2-211-1-1-1-121-211-121-2-2112-1-1-122-2-2-11-22-1111-1-1-2-2111122-1-1-1-100002-2-1-1-1-1111100-220000000011-1-1000000
χ4722-2-22-2-12-222-211-12-2-211-1-1-1-121-211-121-2-2112-1-1-1-2-222-112-2-11-1-11122-1-1-1-1-2-211110000-221111-1-1-1-100-220000000011-1-1000000
χ4822-2-22-2-12-222-211-12-2-211-1-1-1-121-211-121-2-2112-1-1-1-2-222-11-22-1111-1-1-2-2111122-1-1-1-10000-221111-1-1-1-1002-200000000-1-111000000
χ4922-2-2-222222-2-2-2-222-2-222-2-22-2-222-2-222-22-222-2-2-2222-2-2-22002-200000000000000000000-2222-2-2-2-2220000000000000000000000
χ5022-2-2-222222-2-2-2-222-2-222-2-22-2-222-2-222-22-222-2-2-22-2-222-22002-2000000000000000000002-2-2-22222-2-20000000000000000000000
χ5122-2-2-2222-2-222-2-222-2-2-2-2222-2-222-2-22-22-22-2-2222-20000-2200-2200000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000
χ5222-2-2-2222-2-222-2-222-2-2-2-2222-2-222-2-22-22-22-2-2222-20000-2200-220000000000000000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000
χ5322-2-2-222-1-2-222-2-22-111-2-222-1-212-111-1121-111-1-1-1-200001-1001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i32i−2i−2i2i00000000000000−iii−i3−3−330000000000
χ5422-2-2-222-1-2-222-2-22-111-2-222-1-212-111-1121-111-1-1-1-200001-1001-10000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3−2i2i2i−2i00000000000000i−i−ii−333−30000000000
χ5522-2-2-222-1-2-222-2-22-111-2-222-1-212-111-1121-111-1-1-1-200001-1001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i32i−2i−2i2i00000000000000−iii−i−333−30000000000
χ5622-2-2-222-1-2-222-2-22-111-2-222-1-212-111-1121-111-1-1-1-200001-1001-10000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3−2i2i2i−2i00000000000000i−i−ii3−3−330000000000
χ5722-2-2-22-1222-2-211-12-2-2-1-111-11-2-1211-1212-2-1-1-211-122-2-21-100-113−3−33003−33−300−33−330000-22-1-11111-1-10000000000003−3−33000000
χ5822-2-2-22-1222-2-211-12-2-2-1-111-11-2-1211-1212-2-1-1-211-122-2-21-100-11−333−300−33−33003−33−30000-22-1-11111-1-1000000000000−333−3000000
χ5922-2-2-22-1222-2-211-12-2-2-1-111-11-2-1211-1212-2-1-1-211-1-2-2221-100-113−3−33003−33−300−33−3300002-211-1-1-1-111000000000000−333−3000000
χ6022-2-2-22-1222-2-211-12-2-2-1-111-11-2-1211-1212-2-1-1-211-1-2-2221-100-11−333−300−33−33003−33−300002-211-1-1-1-1110000000000003−3−33000000
χ614444444-2-4-4-4-4444-2-2-2-4-4-4-4-24-24-2-2-2-22-42222222-40000-2-200220000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2-24442222-2-24-24-2-2-2-42-4-422-42220000-2-200220000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-20000114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2000011-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-1200001100-1-10000003i−3i−3i3i003i−3i−3i3i000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-1200001100-1-1000000−3i3i3i−3i00−3i3i3i−3i000000000000000000000000000000000000
χ674444-4-44-2-44-44444-2-2-2-4-4-4-4-2-42-42-2-2-2-242-222222400002200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-244-44-4-2-2-2444-2-2-2-2-22-42-4-2-2-2-424-4-2-24-2-2200002200220000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2211-21120000-1-100-1-10000−2i32i3i3i3−i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222211122-2211-21120000-1-100-1-100002i3−2i3−i3−i3i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-22-2-1-12-1-1-20000-1-1001123−2323−2300−33−3300−33−33000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-2222212222111-2-22-2-1-12-1-1-20000-1-10011−2323−2323003−33−3003−33−3000000000000000000000000000000000000
χ7344-4-44-44-24-4-44-4-44-22244-4-4-24-2-4222-224-2-2-2-2222-40000-22002-20000000000000000000000000000000000000000000000000000
χ7444-4-44-4-244-4-4422-24-4-4-2-222-2-242-422-2-4-244-2-2-42220000-22002-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-24-4-4422-2-222-2-2221-2-222-1-112-2-2-2112-1-1200001-100-110000003i−3i−3i3i00−3i3i3i−3i000000000000000000000000000000000000
χ7644-4-44-4-2-24-4-4422-2-222-2-2221-2-222-1-112-2-2-2112-1-1200001-100-11000000−3i3i3i−3i003i−3i−3i3i000000000000000000000000000000000000
χ7744-4-44-4-2-2-444-422-2-22222-2-21-2-222-1-11-2222-1-1-211-200001-14-41-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000000
χ7844-4-44-4-2-2-444-422-2-22222-2-21-2-222-1-11-2222-1-1-211-200001-1-441-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ7944-4-4-444-244-4-4-4-44-22244-4-4-2-424-222-2-2-4-22-2-2222400002-200-220000000000000000000000000000000000000000000000000000
χ8044-4-4-44-24-4-44422-24-4-422-2-2-22-4-2422-2-4-2-44224-2-2200002-2002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-244-4-422-2-222-2-222122-2-2-1-11-22-22112-1-1-20000-11001-123−23−232300−33−33003−33−3000000000000000000000000000000000000
χ8244-4-4-44-2-244-4-422-2-222-2-222122-2-2-1-11-22-22112-1-1-20000-11001-1−232323−23003−33−300−33−33000000000000000000000000000000000000
χ8344-4-4-44-2-2-4-44422-2-22222-2-2122-2-2-1-112-22-2-1-1-21120000-1100-110000−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ8444-4-4-44-2-2-4-44422-2-22222-2-2122-2-2-1-112-22-2-1-1-21120000-1100-1100002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ854-44-4004400004-4-4-44-40000400004-4-4000000000022−2222−22000000000000000000000000000022−220022−22000000000000000000000000
χ864-44-4004400004-4-4-44-40000400004-4-40000000000−2222−22220000000000000000000000000000−222200−2222000000000000000000000000
χ874-44-400-240000-222-44-423−2323−23-20000-222000023−23023−23022−2222−220000000000000000000000000000−226−6−226−60000000000000000000000
χ884-44-400-240000-222-44-423−2323−23-20000-222000023−23023−230−2222−222200000000000000000000000000002−2−662−2−660000000000000000000000
χ894-44-400-240000-222-44-4−2323−2323-20000-2220000−23230−2323022−2222−220000000000000000000000000000−22−66−22−660000000000000000000000
χ904-44-400-240000-222-44-4−2323−2323-20000-2220000−23230−23230−2222−222200000000000000000000000000002−26−62−26−60000000000000000000000
χ914-4-4400440000-44-4-4-44000040000-44-4000000000022−22−2222000000000000000000000000000022−2200−2222000000000000000000000000
χ924-4-4400440000-44-4-4-44000040000-44-40000000000−222222−220000000000000000000000000000−22220022−22000000000000000000000000
χ934-4-4400-2400002-22-4-4423−23−2323-200002-22000023−230−2323022−22−22220000000000000000000000000000−22−662−26−60000000000000000000000
χ944-4-4400-2400002-22-4-4423−23−2323-200002-22000023−230−23230−222222−2200000000000000000000000000002−26−6−22−660000000000000000000000
χ954-4-4400-2400002-22-4-44−232323−23-200002-220000−2323023−23022−22−22220000000000000000000000000000−226−62−2−660000000000000000000000
χ964-4-4400-2400002-22-4-44−232323−23-200002-220000−2323023−230−222222−2200000000000000000000000000002−2−66−226−60000000000000000000000
χ978-88-8008-400008-8-84-440000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-4444-4443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-4444-44−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-88-844-40000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-4444-443−43−434320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-4444-4−434343−4320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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