Finite Group Databasebeta

← Group #11797768

Character table — Group #11797768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888881818181818181818242424242424242436363636363636364848484848484848
order12224433666666881212121224242424242424244444888822444444161616161616161666121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ611111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111-1-1
χ711111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111
χ811111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ91-11-1-1111-1-11-1-11i−i11-1-1iiii−i−i−i−ii−ii−i11-1-11-11-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-1
χ101-11-1-1111-1-11-1-11i−i11-1-1iiii−i−i−i−ii−ii−i11-1-11-1-11i−i−ii-1-111−i−iii1-1i−i−ii-11
χ111-11-1-1111-1-11-1-11i−i11-1-1iiii−i−i−i−ii−ii−i11-1-1-111-1−iii−i-1-111−i−iii-11−iii−i1-1
χ121-11-1-1111-1-11-1-11i−i11-1-1iiii−i−i−i−ii−ii−i11-1-1-11-11−ii−ii11-1-1ii−i−i-11−ii−ii-11
χ131-11-1-1111-1-11-1-11−ii11-1-1−i−i−i−iiiii−ii−ii11-1-11-11-1−ii−ii11-1-1−i−iii1-1−ii−ii1-1
χ141-11-1-1111-1-11-1-11−ii11-1-1−i−i−i−iiiii−ii−ii11-1-11-1-11−iii−i-1-111ii−i−i1-1−iii−i-11
χ151-11-1-1111-1-11-1-11−ii11-1-1−i−i−i−iiiii−ii−ii11-1-1-111-1i−i−ii-1-111ii−i−i-11i−i−ii1-1
χ161-11-1-1111-1-11-1-11−ii11-1-1−i−i−i−iiiii−ii−ii11-1-1-11-11i−ii−i11-1-1−i−iii-11i−ii−i-11
χ172222222222222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ192222-2-22222222200-2-2-2-20000000022-2-20000000000002−22−22−22−200000000
χ202222-2-22222222200-2-2-2-20000000022-2-2000000000000−22−22−22−2200000000
χ212222-2-22222222200-2-2-2-200000000-2-2220000000000002−22−2−22−2200000000
χ222222-2-22222222200-2-2-2-200000000-2-222000000000000−22−222−22−200000000
χ232-22-22-222-2-22-2-2200-2-222000000002i−2i−2i2i0000000000002−2−22i2−i2−i2i200000000
χ242-22-22-222-2-22-2-2200-2-222000000002i−2i−2i2i000000000000−222−2−i2i2i2−i200000000
χ252-22-22-222-2-22-2-2200-2-22200000000−2i2i2i−2i0000000000002−2−22−i2i2i2−i200000000
χ262-22-22-222-2-22-2-2200-2-22200000000−2i2i2i−2i000000000000−222−2i2−i2−i2i200000000
χ272-22-2-2222-2-22-2-222i−2i22-2-22i2i2i2i−2i−2i−2i−2i−2i2i−2i2i-2-222000000000000000000000000
χ282-22-2-2222-2-22-2-22−2i2i22-2-2−2i−2i−2i−2i2i2i2i2i2i−2i2i−2i-2-222000000000000000000000000
χ294444441-21-2-21-2144-21-2111-2-211-2-20000000000220022000000000000-1-1-1-1
χ304444441-21-2-21-2144-21-2111-2-211-2-20000000000-2-200-2-20000000000001111
χ314444441-21-2-21-21-4-4-21-21-1-122-1-12200000000002200-2-200000000000011-1-1
χ324444441-21-2-21-21-4-4-21-21-1-122-1-1220000000000-2-20022000000000000-1-111
χ33444444-21-211-21-2441-21-2-2-211-2-211000000002200220000000000-1-1-1-10000
χ34444444-21-211-21-2441-21-2-2-211-2-21100000000-2-200-2-2000000000011110000
χ35444444-21-211-21-2-4-41-21-222-1-122-1-1000000002200-2-20000000000-1-1110000
χ36444444-21-211-21-2-4-41-21-222-1-122-1-100000000-2-20022000000000011-1-10000
χ3744-4-4004444-4-4-4-400000000000000000022−2222−22000000000000000000000000
χ3844-4-4004444-4-4-4-4000000000000000000−2222−2222000000000000000000000000
χ394-44-4-441-2-12-2-1214i−4i-212-1ii−2i−2i−i−i2i2i00000000002-2002i−2i000000000000−ii-11
χ404-44-4-441-2-12-2-1214i−4i-212-1ii−2i−2i−i−i2i2i0000000000-2200−2i2i000000000000i−i1-1
χ414-44-4-441-2-12-2-121−4i4i-212-1−i−i2i2iii−2i−2i00000000002-200−2i2i000000000000i−i-11
χ424-44-4-441-2-12-2-121−4i4i-212-1−i−i2i2iii−2i−2i0000000000-22002i−2i000000000000−ii1-1
χ434-44-4-44-212-112-1-24i−4i1-2-12−2i−2iii2i2i−i−i000000002-2002i−2i0000000000-11−ii0000
χ444-44-4-44-212-112-1-24i−4i1-2-12−2i−2iii2i2i−i−i00000000-2200−2i2i00000000001-1i−i0000
χ454-44-4-44-212-112-1-2−4i4i1-2-122i2i−i−i−2i−2iii000000002-200−2i2i0000000000-11i−i0000
χ464-44-4-44-212-112-1-2−4i4i1-2-122i2i−i−i−2i−2iii00000000-22002i−2i00000000001-1−ii0000
χ474-4-440044-4-4-444-400000000000000000022−22−2222000000000000000000000000
χ484-4-440044-4-4-444-4000000000000000000−222222−22000000000000000000000000
χ498888-8-82-42-4-42-42004-24-20000000000000000000000000000000000000000
χ508888-8-8-42-422-42-400-24-240000000000000000000000000000000000000000
χ5188-8-8002-42-44-24-200000032−320032−320000000000000000000000000000000000
χ5288-8-8002-42-44-24-2000000−323200−32320000000000000000000000000000000000
χ5388-8-800-42-42-24-24000000003i2−3i2003i2−3i200000000000000000000000000000000
χ5488-8-800-42-42-24-2400000000−3i23i200−3i23i200000000000000000000000000000000
χ558-88-88-82-4-24-4-242004-2-420000000000000000000000000000000000000000
χ568-88-88-8-424-224-2-400-242-40000000000000000000000000000000000000000
χ578-8-88002-4-2442-4-20000003i2−3i200−3i23i20000000000000000000000000000000000
χ588-8-88002-4-2442-4-2000000−3i23i2003i2−3i20000000000000000000000000000000000
χ598-8-8800-424-2-2-4240000000032−3200−323200000000000000000000000000000000
χ608-8-8800-424-2-2-42400000000−32320032−3200000000000000000000000000000000

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