Finite Group Databasebeta

← Group #11793917

Character table — Group #11793917

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881616161618181818242424242424242424242424242424243636363648484848727272
order12224433666666212121212666622442244888824242424242424248888661212488
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1
χ3111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ611111111111111-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111
χ711111111111111-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-111
χ811111111111111-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1
χ922222222222222222222222-2-2-2-2000000000000000000000000-200
χ1022222222222222-22222-2-2-2-2-2-2-2-2000000000000000000000000200
χ112222-2-2222222220-2-2-2-2000022-2-200000000000000000000000002i−2i
χ122222-2-2222222220-2-2-2-2000022-2-20000000000000000000000000−2i2i
χ132222-2-2222222220-2-2-2-20000-2-222000000000000000022-2-20000000
χ142222-2-2222222220-2-2-2-20000-2-2220000000000000000-2-2220000000
χ152-2-222-222-2-2-222-2022-2-200002-22-20000002i−2i00002i2i−2i−2i00000000000
χ162-2-222-222-2-2-222-2022-2-200002-22-2000000−2i2i0000−2i−2i2i2i00000000000
χ172-2-222-222-2-2-222-2022-2-20000-22-22002i−2i0000000000000000002i−2i000
χ182-2-222-222-2-2-222-2022-2-20000-22-2200−2i2i000000000000000000−2i2i000
χ192-2-22-2222-2-2-222-20-2-22200002-2-222-20000000000000000002-200000
χ202-2-22-2222-2-2-222-20-2-22200002-2-22-22000000000000000000-2200000
χ212-2-22-2222-2-2-222-20-2-2220000-222-200002-20022-2-2000000000000000
χ222-2-22-2222-2-2-222-20-2-2220000-222-20000-2200-2-222000000000000000
χ234444441-21-2-21-2141-21-211-2-20000002200220000-1-1-1-1000000-1-1000
χ244444441-21-2-21-2141-21-211-2-2000000-2-200-2-20000111100000011000
χ254444441-21-2-21-21-41-21-2-1-1220000002200-2-200001111000000-1-1000
χ264444441-21-2-21-21-41-21-2-1-122000000-2-200220000-1-1-1-100000011000
χ27444444-21-211-21-24-21-21-2-211000022002200-1-1-1-100000000-1-100000
χ28444444-21-211-21-24-21-21-2-2110000-2-200-2-2001111000000001100000
χ29444444-21-211-21-2-4-21-2122-1-100002200-2-200111100000000-1-100000
χ30444444-21-211-21-2-4-21-2122-1-10000-2-2002200-1-1-1-1000000001100000
χ3144-4-4004444-4-4-4-40000000000000000000000000000000−2i22i20000000
χ3244-4-4004444-4-4-4-400000000000000000000000000000002i2−2i20000000
χ334-44-40044-4-44-4-440000000000000000000000000000022−22000000000
χ344-44-40044-4-44-4-4400000000000000000000000000000−2222000000000
χ354-4-444-41-2-1221-2-101-2-123-3000000002i−2i002i−2i0000−i−iii000000−ii000
χ364-4-444-41-2-1221-2-101-2-123-300000000−2i2i00−2i2i0000ii−i−i000000i−i000
χ374-4-444-41-2-1221-2-101-2-12-33000000002i−2i00−2i2i0000ii−i−i000000−ii000
χ384-4-444-41-2-1221-2-101-2-12-3300000000−2i2i002i−2i0000−i−iii000000i−i000
χ394-4-44-44-212-1-1-21202-1-21003-300002-2002-200-1-11100000000-1100000
χ404-4-44-44-212-1-1-21202-1-21003-30000-2200-220011-1-1000000001-100000
χ414-4-44-44-212-1-1-21202-1-2100-3300002-200-220011-1-100000000-1100000
χ424-4-44-44-212-1-1-21202-1-2100-330000-22002-200-1-111000000001-100000
χ438888-8-82-42-4-42-420-24-2400000000000000000000000000000000000
χ448888-8-8-42-422-42-404-24-200000000000000000000000000000000000
χ4588-8-8002-42-44-24-200000000000000000000000006−66−600000000000
χ4688-8-8002-42-44-24-20000000000000000000000000−66−6600000000000
χ4788-8-800-42-42-24-24000000000000000000000i6−i6i6−i6000000000000000
χ4888-8-800-42-42-24-24000000000000000000000−i6i6−i6i6000000000000000
χ498-88-8002-4-24-4-2420000000000000000000000000i6−i6−i6i600000000000
χ508-88-8002-4-24-4-2420000000000000000000000000−i6i6i6−i600000000000
χ518-88-800-424-224-2-4000000000000000000000i6−i6−i6i6000000000000000
χ528-88-800-424-224-2-4000000000000000000000−i6i6i6−i6000000000000000
χ538-8-888-8-424-2-2-4240-424-200000000000000000000000000000000000
χ548-8-88-882-4-2442-4-20-242-400000000000000000000000000000000000

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