Finite Group Databasebeta

← Group #11878815

Character table — Group #11878815

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888881818181818181818242424242424242436363636363636364848484848484848
order122244233466666666661212121212121212444444442222444488888888666612121212
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
χ5111111-111-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111-111-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ7111111-111-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1
χ8111111-111-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ91111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-11-111-1-111-1-11-11-11-11-1
χ101111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-11-1-111-1-1111-1-111-1-11
χ111111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-1-111-1-111-111-1-111-1
χ121111-1-1111-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11-11-1111-1-111-1-1-11-11-11-11
χ131111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-1-1-1111-11-1-11-11
χ141111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-111-1-1-11111-1-11-1-11-111-1
χ151111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1-11-1-11111-1-1-111-11-1-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-111-1-1-1-111-11-111-11-1
χ172222222222222222222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ18222222-222-2222222-2-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000
χ192222-2-2222-22222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ202222-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000
χ2122-2-22-20220-2-222-2-2000022-2-20000002i−2i2i−2i00000000002−22−2i2−i2i2−i200000000
χ2222-2-22-20220-2-222-2-2000022-2-20000002i−2i2i−2i0000000000−22−22−i2i2−i2i200000000
χ2322-2-22-20220-2-222-2-2000022-2-2000000−2i2i−2i2i00000000002−22−2−i2i2−i2i200000000
χ2422-2-22-20220-2-222-2-2000022-2-2000000−2i2i−2i2i0000000000−22−22i2−i2i2−i200000000
χ2522-2-2-220220-2-222-2-20000-2-2220000002i−2i−2i2i00000000002−2−22i2−i2−i2i200000000
χ2622-2-2-220220-2-222-2-20000-2-2220000002i−2i−2i2i0000000000−222−2−i2i2i2−i200000000
χ2722-2-2-220220-2-222-2-20000-2-222000000−2i2i2i−2i00000000002−2−22−i2i2i2−i200000000
χ2822-2-2-220220-2-222-2-20000-2-222000000−2i2i2i−2i0000000000−222−2i2−i2−i2i200000000
χ2944444441-241-21-21-211-2-21-21-211-2-200000000002200220000000000-1-100-1-1
χ3044444441-241-21-21-211-2-21-21-211-2-20000000000-2-200-2-20000000000110011
χ314444444-214-21-21-21-2-211-21-21-2-211000000002200220000000000-1-100-1-100
χ324444444-214-21-21-21-2-211-21-21-2-21100000000-2-200-2-2000000000011001100
χ33444444-41-2-41-21-21-2-1-1221-21-2-1-12200000000002200-2-20000000000-1-10011
χ34444444-41-2-41-21-21-2-1-1221-21-2-1-1220000000000-2-2002200000000001100-1-1
χ35444444-4-21-4-21-21-2122-1-1-21-2122-1-1000000002200-2-20000000000-1-1001100
χ36444444-4-21-4-21-21-2122-1-1-21-2122-1-100000000-2-2002200000000001100-1-100
χ374444-4-441-2-41-21-21-211-2-2-12-12-1-12200000000002-2002-20000000000-1100-11
χ384444-4-441-2-41-21-21-211-2-2-12-12-1-1220000000000-2200-2200000000001-1001-1
χ394444-4-44-21-4-21-21-21-2-2112-12-122-1-1000000002-2002-20000000000-1100-1100
χ404444-4-44-21-4-21-21-21-2-2112-12-122-1-100000000-2200-2200000000001-1001-100
χ414444-4-4-41-241-21-21-2-1-122-12-1211-2-200000000002-200-220000000000-11001-1
χ424444-4-4-41-241-21-21-2-1-122-12-1211-2-20000000000-22002-200000000001-100-11
χ434444-4-4-4-214-21-21-2122-1-12-12-1-2-211000000002-200-220000000000-11001-100
χ444444-4-4-4-214-21-21-2122-1-12-12-1-2-21100000000-22002-200000000001-100-1100
χ454-44-40004404-4-4-4-440000000000000000004-4000000000000000000000000
χ464-44-40004404-4-4-4-44000000000000000000-44000000000000000000000000
χ474-4-44000440-44-4-44-40000000000004-4000000000000000000000000000000
χ484-4-44000440-44-4-44-4000000000000-44000000000000000000000000000000
χ4988-8-88-802-40-242-4-2400002-4-24000000000000000000000000000000000000
χ5088-8-88-80-4204-2-424-20000-424-2000000000000000000000000000000000000
χ5188-8-8-8802-40-242-4-240000-242-4000000000000000000000000000000000000
χ5288-8-8-880-4204-2-424-200004-2-42000000000000000000000000000000000000
χ538-88-80002-4024-24-2-4000000006i−6i0000000000000000000000000000000000
χ548-88-80002-4024-24-2-400000000−6i6i0000000000000000000000000000000000
χ558-88-8000-420-4-24-242006-60000000000000000000000000000000000000000
χ568-88-8000-420-4-24-24200-660000000000000000000000000000000000000000
χ578-8-880002-40-2-4-24246-6000000000000000000000000000000000000000000
χ588-8-880002-40-2-4-2424-66000000000000000000000000000000000000000000
χ598-8-88000-420424-2-4-200000000006i−6i00000000000000000000000000000000
χ608-8-88000-420424-2-4-20000000000−6i6i00000000000000000000000000000000

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