Finite Group Databasebeta

← Group #11792221

Character table — Group #11792221

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881616161618181818242424242424242424242424242424243636363648484848727272
order122244336666664121212121212121222442444446688121224242424444412121212488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1
χ3111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111-11111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-111
χ611111111111111-11111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1
χ711111111111111-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ811111111111111-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-111
χ922222222222222222222222-2-2-2-2000000000000000000000000-200
χ1022222222222222-22222-2-2-2-2-2-2-2-2000000000000000000000000200
χ112222-2-2222222220-2-2-2-2000022-2-2002-20000000000000000002-2000
χ122222-2-2222222220-2-2-2-2000022-2-200-22000000000000000000-22000
χ132222-2-2222222220-2-2-2-20000-2-2222-200002200-2-2000000000000000
χ142222-2-2222222220-2-2-2-20000-2-222-220000-2-20022000000000000000
χ152-2-222-222-2-2-2-222022-2-200002-22-2000000002i−2i002i2i−2i−2i00000000000
χ162-2-222-222-2-2-2-222022-2-200002-22-200000000−2i2i00−2i−2i2i2i00000000000
χ172-2-222-222-2-2-2-222022-2-20000-22-2200002-2000000000000002-200000
χ182-2-222-222-2-2-2-222022-2-20000-22-220000-2200000000000000-2200000
χ192-2-22-2222-2-2-2-2220-2-22200002-2-2200000000000000000000000002-2
χ202-2-22-2222-2-2-2-2220-2-22200002-2-220000000000000000000000000-22
χ212-2-22-2222-2-2-2-2220-2-2220000-222-2000000000000000022-2-20000000
χ222-2-22-2222-2-2-2-2220-2-2220000-222-20000000000000000-2-2220000000
χ234444441-21-21-21-241-2-2111-2-20000000022002200-1-1-1-10000-1-100000
χ244444441-21-21-21-241-2-2111-2-200000000-2-200-2-200111100001100000
χ254444441-21-21-21-2-41-2-21-1-122000000002200-2-20011110000-1-100000
χ264444441-21-21-21-2-41-2-21-1-12200000000-2-2002200-1-1-1-100001100000
χ27444444-21-21-21-214-211-2-2-2110000222200-1-100-1-10000000000-1-1000
χ28444444-21-21-21-214-211-2-2-2110000-2-2-2-200110011000000000011000
χ29444444-21-21-21-21-4-211-222-1-1000022-2-200-1-100-1-1000000000011000
χ30444444-21-21-21-21-4-211-222-1-10000-2-222001100110000000000-1-1000
χ314444-4-4-21-21-21-2102-1-12003-300002-22-200-1-100110000000000-11000
χ324444-4-4-21-21-21-2102-1-12003-30000-22-22001100-1-100000000001-1000
χ334444-4-4-21-21-21-2102-1-1200-3300002-2-2200-1-1001100000000001-1000
χ344444-4-4-21-21-21-2102-1-1200-330000-222-2001100-1-10000000000-11000
χ3544-4-40044-4-444-4-4000000000000000000000000000002-22-20000000
χ3644-4-40044-4-444-4-400000000000000000000000000000-22-220000000
χ374-44-4004444-4-4-4-4000000000000000000000000000002-2-220000000
χ384-44-4004444-4-4-4-400000000000000000000000000000-222-20000000
χ394-4-444-41-2-12-121-201-22-13i−3i00000000002-2002i−2i00−i−iii0000-1100000
χ404-4-444-41-2-12-121-201-22-13i−3i0000000000-2200−2i2i00ii−i−i00001-100000
χ414-4-444-41-2-12-121-201-22-1−3i3i00000000002-200−2i2i00ii−i−i0000-1100000
χ424-4-444-41-2-12-121-201-22-1−3i3i0000000000-22002i−2i00−i−iii00001-100000
χ438888-8-82-42-42-42-40-244-200000000000000000000000000000000000
χ4488-8-8002-4-242-4-2400000000000000000000000006−66−600000000000
χ4588-8-8002-4-242-4-240000000000000000000000000−66−6600000000000
χ4688-8-800-424-2-424-20000000000000000000000023−23000000000000000
χ4788-8-800-424-2-424-200000000000000000000000−2323000000000000000
χ488-88-8002-42-4-24-240000000000000000000000000i6−i6−i6i600000000000
χ498-88-8002-42-4-24-240000000000000000000000000−i6i6i6−i600000000000
χ508-88-800-42-424-24-20000000000000000000−2i32i30000000000000000000
χ518-88-800-42-424-24-200000000000000000002i3−2i30000000000000000000
χ528-8-888-8-424-24-2-420-42-2400000000000000000000000000000000000
χ538-8-88-882-4-24-242-40-24-4200000000000000000000000000000000000
χ548-8-88-88-424-24-2-4204-22-400000000000000000000000000000000000

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