Finite Group Databasebeta

← Group #11790202

Character table — Group #11790202

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888888899991616161616161616181836363636363636363636727272727272
order12224433666666884412121212242424242424242422221212121212121212444444888888444444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1i−ii−i-1-1ii−i−i-1-1ii−i−i
χ4111111111111111111111111111111-1-1-1-111111111-1-1−ii−ii-1-1−i−iii-1-1−i−iii
χ51111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i-1-1ii−i−i11−i−iii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii-1-1−i−iii11ii−i−i
χ911111111111111-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11-11-11-1
χ1011111111111111-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-11-11
χ1111111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1i−ii−i11−i−iii-11i−i−ii
χ1211111111111111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−ii−ii11ii−i−i-11−iii−i
χ1311111111111111-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-11-11-11
χ1411111111111111-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-111-11-1
χ1511111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1i−ii−i11−i−iii1-1−iii−i
χ1611111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−ii−ii11ii−i−i1-1i−i−ii
χ172222-2-2222222220000-2-2-2-200000000222200000000-2-222-2-2000000000000
χ182222-2-2222222220000-2-2-2-200000000222200000000-2-2-2-222000000000000
χ192222-2-2222222220000-2-2-2-200000000-2-2-2-200000000222i−2i−2i2i000000000000
χ202222-2-2222222220000-2-2-2-200000000-2-2-2-20000000022−2i2i2i−2i000000000000
χ2122-2-22-22222-2-2-2-2000022-2-20000000022-2-200000000-220000002-22-2000000
χ2222-2-22-22222-2-2-2-2000022-2-20000000022-2-200000000-22000000-22-22000000
χ2322-2-22-22222-2-2-2-2000022-2-200000000-2-222000000002-20000002i−2i−2i2i000000
χ2422-2-22-22222-2-2-2-2000022-2-200000000-2-222000000002-2000000−2i2i2i−2i000000
χ2522-2-2-222222-2-2-2-22-200-2-2222222-2-2-2-222-2-2000000002-200002-20000000000
χ2622-2-2-222222-2-2-2-22-200-2-2222222-2-2-2-2-2-22200000000-220000-220000000000
χ2722-2-2-222222-2-2-2-2-2200-2-222-2-2-2-2222222-2-2000000002-20000-220000000000
χ2822-2-2-222222-2-2-2-2-2200-2-222-2-2-2-22222-2-22200000000-2200002-20000000000
χ294444441-21-211-2-244441-21-211-2-211-2-2000011-2-211-2-2000000000000000000
χ304444441-21-211-2-244-4-41-21-211-2-211-2-20000-1-122-1-122000000000000000000
χ314444441-21-211-2-2-4-44-41-21-2-1-122-1-122000011-2-2-1-122000000000000000000
χ324444441-21-211-2-2-4-4-441-21-2-1-122-1-1220000-1-12211-2-2000000000000000000
χ33444444-21-21-2-2114444-21-21-2-211-2-2110000-2-211-2-211000000000000000000
χ34444444-21-21-2-21144-4-4-21-21-2-211-2-211000022-1-122-1-1000000000000000000
χ35444444-21-21-2-211-4-44-4-21-2122-1-122-1-10000-2-21122-1-1000000000000000000
χ36444444-21-21-2-211-4-4-44-21-2122-1-122-1-1000022-1-1-2-211000000000000000000
χ3744-4-4-441-21-2-1-1224-400-121-211-2-2-1-12200003i−3i003i−3i00000000000000000000
χ3844-4-4-441-21-2-1-1224-400-121-211-2-2-1-1220000−3i3i00−3i3i00000000000000000000
χ3944-4-4-441-21-2-1-122-4400-121-2-1-12211-2-200003i−3i00−3i3i00000000000000000000
χ4044-4-4-441-21-2-1-122-4400-121-2-1-12211-2-20000−3i3i003i−3i00000000000000000000
χ4144-4-4-44-21-2122-1-14-4002-1-21-2-21122-1-10000003i−3i003i−3i000000000000000000
χ4244-4-4-44-21-2122-1-14-4002-1-21-2-21122-1-1000000−3i3i00−3i3i000000000000000000
χ4344-4-4-44-21-2122-1-1-44002-1-2122-1-1-2-2110000003i−3i00−3i3i000000000000000000
χ4444-4-4-44-21-2122-1-1-44002-1-2122-1-1-2-211000000−3i3i003i−3i000000000000000000
χ454-44-40044-4-44-44-400000000000000004-44-400000000000000000000000000
χ464-44-40044-4-44-44-40000000000000000-44-4400000000000000000000000000
χ474-4-440044-4-4-44-4400000000000000004-4-4400000000000000000000000000
χ484-4-440044-4-4-44-440000000000000000-444-400000000000000000000000000
χ498888-8-82-42-422-4-40000-24-2400000000000000000000000000000000000000
χ508888-8-8-42-42-4-42200004-24-200000000000000000000000000000000000000
χ5188-8-88-82-42-4-2-24400002-4-2400000000000000000000000000000000000000
χ5288-8-88-8-42-4244-2-20000-424-200000000000000000000000000000000000000
χ538-88-8002-4-242-2-44000000003i2−3i2003i2−3i200000000000000000000000000000000
χ548-88-8002-4-242-2-4400000000−3i23i200−3i23i200000000000000000000000000000000
χ558-88-800-424-2-442-200000000003i2−3i2003i2−3i2000000000000000000000000000000
χ568-88-800-424-2-442-20000000000−3i23i200−3i23i2000000000000000000000000000000
χ578-8-88002-4-24-224-4000000003i2−3i200−3i23i200000000000000000000000000000000
χ588-8-88002-4-24-224-400000000−3i23i2003i2−3i200000000000000000000000000000000
χ598-8-8800-424-24-4-2200000000003i2−3i200−3i23i2000000000000000000000000000000
χ608-8-8800-424-24-4-220000000000−3i23i2003i2−3i2000000000000000000000000000000

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