Finite Group Databasebeta

← Group #11791387

Character table — Group #11791387

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order12224433446666661212121212121212224488884444888824242424242424244488888812121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ511111111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111-1-11111111111-1-1-1-111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1
χ711111111-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ91-1-111-111i−i-1-1-1-11111-1-1ii−i−i1-11-111-1-11-11-1i−ii−iii−i−iii−i−ii−i1-1ii−i−i1-11-1
χ101-1-111-111i−i-1-1-1-11111-1-1ii−i−i1-11-111-1-1-11-11−ii−ii−i−iii−i−iiii−i1-1ii−i−i-11-11
χ111-1-111-111i−i-1-1-1-11111-1-1ii−i−i1-11-1-1-1111-1-11i−i−iiii−i−i−i−iiii−i-11−i−iii1-1-11
χ121-1-111-111i−i-1-1-1-11111-1-1ii−i−i1-11-1-1-111-111-1−iii−i−i−iiiii−i−ii−i-11−i−iii-111-1
χ131-1-111-111−ii-1-1-1-11111-1-1−i−iii1-11-111-1-11-11-1−ii−ii−i−iii−i−iii−ii1-1−i−iii1-11-1
χ141-1-111-111−ii-1-1-1-11111-1-1−i−iii1-11-111-1-1-11-11i−ii−iii−i−iii−i−i−ii1-1−i−iii-11-11
χ151-1-111-111−ii-1-1-1-11111-1-1−i−iii1-11-1-1-1111-1-11−iii−i−i−iiiii−i−i−ii-11ii−i−i1-1-11
χ161-1-111-111−ii-1-1-1-11111-1-1−i−iii1-11-1-1-111-111-1i−i−iiii−i−i−i−iii−ii-11ii−i−i-111-1
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ1822222222-2-22222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-22200222222-2-2-2-2000022-2-20000000000000000000000002i−2i2i−2i0000
χ202222-2-22200222222-2-2-2-2000022-2-2000000000000000000000000−2i2i−2i2i0000
χ212222-2-22200222222-2-2-2-20000-2-2222222000000000000000000-2-200000000
χ222222-2-22200222222-2-2-2-20000-2-222-2-2-2-20000000000000000002200000000
χ232-2-222-2222i−2i-2-2-2-22222-2-22i2i−2i−2i-22-2200000000000000000000−2i2i0000000000
χ242-2-222-222−2i2i-2-2-2-22222-2-2−2i−2i2i2i-22-22000000000000000000002i−2i0000000000
χ252-2-22-222200-2-2-2-222-2-22200002-2-220000000000000000000000002-2-220000
χ262-2-22-222200-2-2-2-222-2-22200002-2-22000000000000000000000000-222-20000
χ272-2-22-222200-2-2-2-222-2-2220000-222-222-2-2000000000000000000-2200000000
χ282-2-22-222200-2-2-2-222-2-2220000-222-2-2-2220000000000000000002-200000000
χ294444441-2441-21-21-21-21-21-21-200000000002200220000-1-1-1-10000000000-1-1
χ304444441-2441-21-21-21-21-21-21-20000000000-2-200-2-200001111000000000011
χ314444441-2-4-41-21-21-21-21-2-12-1200000000002200-2-2000011110000000000-1-1
χ324444441-2-4-41-21-21-21-21-2-12-120000000000-2-200220000-1-1-1-1000000000011
χ33444444-2144-21-21-21-21-21-21-210000000022002200-1-1-1-1000000000000-1-100
χ34444444-2144-21-21-21-21-21-21-2100000000-2-200-2-20011110000000000001100
χ35444444-21-4-4-21-21-21-21-212-12-1000000002200-2-2001111000000000000-1-100
χ36444444-21-4-4-21-21-21-21-212-12-100000000-2-2002200-1-1-1-10000000000001100
χ3744-4-4004400-4-444-4-400000000000022−2222−220000000000000000000000000000
χ3844-4-4004400-4-444-4-4000000000000−2222−22220000000000000000000000000000
χ394-44-400440044-4-4-4-400000000000022−22−22220000000000000000000000000000
χ404-44-400440044-4-4-4-4000000000000−222222−220000000000000000000000000000
χ414-4-444-41-24i−4i-12-121-21-2-12i−2i−i2i00000000002-2002i−2i0000−i−iii0000000000-11
χ424-4-444-41-24i−4i-12-121-21-2-12i−2i−i2i0000000000-2200−2i2i0000ii−i−i00000000001-1
χ434-4-444-41-2−4i4i-12-121-21-2-12−i2ii−2i00000000002-200−2i2i0000ii−i−i0000000000-11
χ444-4-444-41-2−4i4i-12-121-21-2-12−i2ii−2i0000000000-22002i−2i0000−i−iii00000000001-1
χ454-4-444-4-214i−4i2-12-1-21-212-1−2ii2i−i000000002-2002i−2i00−i−iii000000000000-1100
χ464-4-444-4-214i−4i2-12-1-21-212-1−2ii2i−i00000000-2200−2i2i00ii−i−i0000000000001-100
χ474-4-444-4-21−4i4i2-12-1-21-212-12i−i−2ii000000002-200−2i2i00ii−i−i000000000000-1100
χ484-4-444-4-21−4i4i2-12-1-21-212-12i−i−2ii00000000-22002i−2i00−i−iii0000000000001-100
χ498888-8-82-4002-42-42-4-24-240000000000000000000000000000000000000000
χ508888-8-8-4200-42-42-424-24-20000000000000000000000000000000000000000
χ5188-8-8002-400-242-4-2400000000000000000000000000006−66−6000000000000
χ5288-8-8002-400-242-4-240000000000000000000000000000−66−66000000000000
χ5388-8-800-42004-2-424-20000000000000000000000006−66−60000000000000000
χ5488-8-800-42004-2-424-2000000000000000000000000−66−660000000000000000
χ558-88-8002-4002-4-24-240000000000000000000000000000i6−i6−i6i6000000000000
χ568-88-8002-4002-4-24-240000000000000000000000000000−i6i6i6−i6000000000000
χ578-88-800-4200-424-24-2000000000000000000000000i6−i6−i6i60000000000000000
χ588-88-800-4200-424-24-2000000000000000000000000−i6i6i6−i60000000000000000
χ598-8-88-882-400-24-242-4-242-40000000000000000000000000000000000000000
χ608-8-88-88-42004-24-2-424-2-420000000000000000000000000000000000000000

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