Finite Group Databasebeta

← Group #11790184

Character table — Group #11790184

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112244444444444444888888888899991212121212121212181824242424242424242424242436364848484872727272
order12224433666666881212121212122424242424242424222244448888444444121212122424242488121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ811111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ911-1-1-111111-1-1-1-11-111-1-1-1111-1-111-1-11-1-11ii−i−iii−i−i1-1i−ii−iii−i−iii−i−i1-1i−ii−i1-11-1
χ1011-1-1-111111-1-1-1-11-111-1-1-1111-1-111-1-11-1-11ii−i−iii−i−i1-1−ii−iiii−i−iii−i−i1-1−ii−ii-11-11
χ1111-1-1-111111-1-1-1-11-111-1-1-1111-1-111-1-11-1-11−i−iii−i−iii1-1i−ii−i−i−iii−i−iii1-1i−ii−i-11-11
χ1211-1-1-111111-1-1-1-11-111-1-1-1111-1-111-1-11-1-11−i−iii−i−iii1-1−ii−ii−i−iii−i−iii1-1−ii−ii1-11-1
χ1311-1-1-111111-1-1-1-1-1111-1-1-11-1-111-1-1111-1-11ii−i−i−i−iii1-1i−i−iiii−i−i−i−iii-11i−i−ii1-1-11
χ1411-1-1-111111-1-1-1-1-1111-1-1-11-1-111-1-1111-1-11ii−i−i−i−iii1-1−iii−iii−i−i−i−iii-11−iii−i-111-1
χ1511-1-1-111111-1-1-1-1-1111-1-1-11-1-111-1-1111-1-11−i−iiiii−i−i1-1i−i−ii−i−iiiii−i−i-11i−i−ii-111-1
χ1611-1-1-111111-1-1-1-1-1111-1-1-11-1-111-1-1111-1-11−i−iiiii−i−i1-1−iii−i−i−iiiii−i−i-11−iii−i1-1-11
χ17222222222222222222222222222222-2-2-2-200000000-2-2000000000000-2-200000000
χ1822222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-20000000000002200000000
χ192222-2-22222222200-2-2-2-2-2-20000000022222-22-20000-2-200002-22-200000000000000
χ202222-2-22222222200-2-2-2-2-2-2000000002222-22-220000-2-20000-22-2200000000000000
χ212222-2-22222222200-2-2-2-2-2-200000000-2-2-2-200002i−2i2i−2i22000000002i−2i2i−2i0000000000
χ222222-2-22222222200-2-2-2-2-2-200000000-2-2-2-20000−2i2i−2i2i2200000000−2i2i−2i2i0000000000
χ2322-2-22-22222-2-2-2-200-2-2222-2000000002-2-222i−2i−2i2i0000-2200002i−2i−2i2i00000000000000
χ2422-2-22-22222-2-2-2-200-2-2222-2000000002-2-22−2i2i2i−2i0000-220000−2i2i2i−2i00000000000000
χ2522-2-22-22222-2-2-2-200-2-2222-200000000-222-200002-2-222-2000000002-2-220000000000
χ2622-2-22-22222-2-2-2-200-2-2222-200000000-222-20000-222-22-200000000-222-20000000000
χ2722-2-2-222222-2-2-2-22-222-2-2-2222-2-222-2-2-222-200000000-22000000000000-2200000000
χ2822-2-2-222222-2-2-2-2-2222-2-2-22-2-222-2-222-222-200000000-220000000000002-200000000
χ294444441-21-211-2-2441111-2-21111-2-2-2-2000022222222000000-1-1-1-1-1-1-1-10000000000
χ304444441-21-211-2-2441111-2-21111-2-2-2-20000-2-2-2-2-2-2-2-2000000111111110000000000
χ314444441-21-211-2-2-4-41111-2-2-1-1-1-1222200002222-2-2-2-2000000-1-1-1-111110000000000
χ324444441-21-211-2-2-4-41111-2-2-1-1-1-122220000-2-2-2-222220000001111-1-1-1-10000000000
χ33444444-21-21-2-21144-2-2-2-211-2-2-2-211110000000000000022220000000000-1-1-1-10000
χ34444444-21-21-2-21144-2-2-2-211-2-2-2-2111100000000000000-2-2-2-2000000000011110000
χ35444444-21-21-2-211-4-4-2-2-2-2112222-1-1-1-10000000000000022-2-20000000000-1-1110000
χ36444444-21-21-2-211-4-4-2-2-2-2112222-1-1-1-100000000000000-2-222000000000011-1-10000
χ374444-4-41-21-211-2-200-1-1-1-1223i−3i3i−3i000000002-22-22i−2i2i−2i000000-11-11−ii−ii0000000000
χ384444-4-41-21-211-2-200-1-1-1-1223i−3i3i−3i00000000-22-22−2i2i−2i2i0000001-11-1i−ii−i0000000000
χ394444-4-41-21-211-2-200-1-1-1-122−3i3i−3i3i000000002-22-2−2i2i−2i2i000000-11-11i−ii−i0000000000
χ404444-4-41-21-211-2-200-1-1-1-122−3i3i−3i3i00000000-22-222i−2i2i−2i0000001-11-1−ii−ii0000000000
χ4144-4-44-41-21-2-1-12200-1-111-223i−3i−3i3i000000002i−2i−2i2i-222-2000000−iii−i1-1-110000000000
χ4244-4-44-41-21-2-1-12200-1-111-223i−3i−3i3i00000000−2i2i2i−2i2-2-22000000i−i−ii-111-10000000000
χ4344-4-44-41-21-2-1-12200-1-111-22−3i3i3i−3i000000002i−2i−2i2i2-2-22000000−iii−i-111-10000000000
χ4444-4-44-41-21-2-1-12200-1-111-22−3i3i3i−3i00000000−2i2i2i−2i-222-2000000i−i−ii1-1-110000000000
χ4544-4-4-441-21-2-1-1224-411-1-12-211-1-1-2-22200002i2i−2i−2i2i2i−2i−2i000000−i−iii−i−iii0000000000
χ4644-4-4-441-21-2-1-1224-411-1-12-211-1-1-2-2220000−2i−2i2i2i−2i−2i2i2i000000ii−i−iii−i−i0000000000
χ4744-4-4-441-21-2-1-122-4411-1-12-2-1-11122-2-200002i2i−2i−2i−2i−2i2i2i000000−i−iiiii−i−i0000000000
χ4844-4-4-441-21-2-1-122-4411-1-12-2-1-11122-2-20000−2i−2i2i2i2i2i−2i−2i000000ii−i−i−i−iii0000000000
χ4944-4-4-44-21-2122-1-14-4-2-222-11-2-22211-1-1000000000000002i−2i2i−2i0000000000−ii−ii0000
χ5044-4-4-44-21-2122-1-14-4-2-222-11-2-22211-1-100000000000000−2i2i−2i2i0000000000i−ii−i0000
χ5144-4-4-44-21-2122-1-1-44-2-222-1122-2-2-1-111000000000000002i−2i−2i2i0000000000−iii−i0000
χ5244-4-4-44-21-2122-1-1-44-2-222-1122-2-2-1-11100000000000000−2i2i2i−2i0000000000i−i−ii0000
χ534-44-40044-4-44-44-4000000000000000044-4-400000000000000000000000000000000
χ544-44-40044-4-44-44-40000000000000000-4-44400000000000000000000000000000000
χ554-4-440044-4-4-44-4400000000000000004-44-400000000000000000000000000000000
χ564-4-440044-4-4-44-440000000000000000-44-4400000000000000000000000000000000
χ578888-8-8-42-42-4-422004444-2-200000000000000000000000000000000000000000000
χ5888-8-88-8-42-4244-2-20044-4-42-200000000000000000000000000000000000000000000
χ598-88-8002-4-242-2-44006i−6i6i−6i0000000000000000000000000000000000000000000000
χ608-88-8002-4-242-2-4400−6i6i−6i6i0000000000000000000000000000000000000000000000
χ618-88-800-424-2-442-20000000000003i2−3i23i2−3i2000000000000000000000000000000000000
χ628-88-800-424-2-442-2000000000000−3i23i2−3i23i2000000000000000000000000000000000000
χ638-8-88002-4-24-224-4006i−6i−6i6i0000000000000000000000000000000000000000000000
χ648-8-88002-4-24-224-400−6i6i6i−6i0000000000000000000000000000000000000000000000
χ658-8-8800-424-24-4-220000000000003i2−3i2−3i23i2000000000000000000000000000000000000
χ668-8-8800-424-24-4-22000000000000−3i23i23i2−3i2000000000000000000000000000000000000

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