Finite Group Databasebeta

← Group #11899659

Character table — Group #11899659

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888881818181818181818242424242424242436363636363636364848484848484848
order12442433668812121212661212242424242424242422448888222244441616161616161616666612121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ3111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ51111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-11111-1-1-1-11-11-11-11-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-1-1-111111-1-111-1-11
χ71111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-11111-111-1-111-1
χ81111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-111111-1-1-1-1-11-11-11-11
χ911-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-11-11-1-1-111111-1-1-1-1111-1-111-1-1111-1-1-1-11
χ1011-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-11-11-1-1-11111-11-1-11-1-1-111-1-11111-11-1-11-1
χ1111-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-11-11-1-1-111-1-11-111-11-1-111-1-111-1-11-111-11
χ1211-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-11-11-1-1-111-1-1-11111-111-1-111-1-1-1-1-11111-1
χ1311-1-1-111111-11-1-1-1-1-1-111-1-1-1-11111-11-11-1-1111-111-11-1-111-1-1-1-1111-111-11-1-1
χ1411-1-1-111111-11-1-1-1-1-1-111-1-1-1-11111-11-11-1-1111-1-1-1-1111-1-11111-1-11-1-1-1-1111
χ1511-1-1-111111-11-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-11111-1-1-1-1-11111-1-1-11111-1-1-1
χ1611-1-1-111111-11-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-11-1-11-11111-1-1-1-111-11-1-11-111
χ172222222222222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ182222222222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ192222-2-22222002222-2-2-2-2000000002-2-220000000000002−22−22−22−200000000
χ202222-2-22222002222-2-2-2-2000000002-2-22000000000000−22−22−22−2200000000
χ212222-2-22222002222-2-2-2-200000000-222-20000000000002−22−2−22−2200000000
χ222222-2-22222002222-2-2-2-200000000-222-2000000000000−22−222−22−200000000
χ2322-2-22-2222200-2-2-2-222-2-20000000022-2-20000000000002−2−222−2−2200000000
χ2422-2-22-2222200-2-2-2-222-2-20000000022-2-2000000000000−222−2−222−200000000
χ2522-2-22-2222200-2-2-2-222-2-200000000-2-2220000000000002−2−22−222−200000000
χ2622-2-22-2222200-2-2-2-222-2-200000000-2-222000000000000−222−22−2−2200000000
χ2722-2-2-2222222-2-2-2-2-2-2-2222222-2-2-2-2-22-2222-2-2000000000000000000000000
χ2822-2-2-222222-22-2-2-2-2-2-222-2-2-2-222222-22-222-2-2000000000000000000000000
χ294444441-21-24411-2-21-21-211-2-211-2-200000000002200220000000000-1-100-1-1
χ304444441-21-24411-2-21-21-211-2-211-2-20000000000-2-200-2-20000000000110011
χ314444441-21-2-4-411-2-21-21-2-1-122-1-12200000000002-2002-20000000000-1100-11
χ324444441-21-2-4-411-2-21-21-2-1-122-1-1220000000000-2200-2200000000001-1001-1
χ33444444-21-2144-2-211-21-21-2-211-2-211000000002200220000000000-1-100-1-100
χ34444444-21-2144-2-211-21-21-2-211-2-21100000000-2-200-2-2000000000011001100
χ35444444-21-21-4-4-2-211-21-2122-1-122-1-1000000002-2002-20000000000-1100-1100
χ36444444-21-21-4-4-2-211-21-2122-1-122-1-100000000-2200-2200000000001-1001-100
χ3744-4-4-441-21-24-4-1-122-121-211-2-2-1-12200000000002-200-220000000000-11001-1
χ3844-4-4-441-21-24-4-1-122-121-211-2-2-1-1220000000000-22002-200000000001-100-11
χ3944-4-4-441-21-2-44-1-122-121-2-1-12211-2-200000000002200-2-20000000000-1-10011
χ4044-4-4-441-21-2-44-1-122-121-2-1-12211-2-20000000000-2-2002200000000001100-1-1
χ4144-4-4-44-21-214-422-1-12-1-21-2-21122-1-1000000002200-2-20000000000-1-1001100
χ4244-4-4-44-21-214-422-1-12-1-21-2-21122-1-100000000-2-2002200000000001100-1-100
χ4344-4-4-44-21-21-4422-1-12-1-2122-1-1-2-211000000002-200-220000000000-11001-100
χ4444-4-4-44-21-21-4422-1-12-1-2122-1-1-2-21100000000-22002-200000000001-100-1100
χ454-44i−4i0044-4-4004i−4i4i−4i00000000000000002i2−2i222−22000000000000000000000000
χ464-44i−4i0044-4-4004i−4i4i−4i0000000000000000−2i22i2−2222000000000000000000000000
χ474-4−4i4i0044-4-400−4i4i−4i4i00000000000000002i2−2i2−2222000000000000000000000000
χ484-4−4i4i0044-4-400−4i4i−4i4i0000000000000000−2i22i222−22000000000000000000000000
χ498888-8-82-42-40022-4-4-24-240000000000000000000000000000000000000000
χ508888-8-8-42-4200-4-4224-24-20000000000000000000000000000000000000000
χ5188-8-88-82-42-400-2-2442-4-240000000000000000000000000000000000000000
χ5288-8-88-8-42-420044-2-2-424-20000000000000000000000000000000000000000
χ538-88i−8i002-4-24002i−2i−4i4i00003i2−3i20032−320000000000000000000000000000000000
χ548-88i−8i002-4-24002i−2i−4i4i0000−3i23i200−32320000000000000000000000000000000000
χ558-88i−8i00-424-200−4i4i2i−2i00000032−32003i2−3i200000000000000000000000000000000
χ568-88i−8i00-424-200−4i4i2i−2i000000−323200−3i23i200000000000000000000000000000000
χ578-8−8i8i002-4-2400−2i2i4i−4i00003i2−3i200−32320000000000000000000000000000000000
χ588-8−8i8i002-4-2400−2i2i4i−4i0000−3i23i20032−320000000000000000000000000000000000
χ598-8−8i8i00-424-2004i−4i−2i2i00000032−3200−3i23i200000000000000000000000000000000
χ608-8−8i8i00-424-2004i−4i−2i2i000000−3232003i2−3i200000000000000000000000000000000

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