Finite Group Databasebeta

← Group #11794362

Character table — Group #11794362

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881616161618181818242424242424242424242424242424243636363648484848727272
order122244336666664121212121212121222442244888824242424242424248888661212488
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
χ1522-2-22-222-2-222-2-2022-2-200002-22-22-20000000000000000002-200000
χ1622-2-22-222-2-222-2-2022-2-200002-22-2-22000000000000000000-2200000
χ1722-2-22-222-2-222-2-2022-2-20000-22-2200002i−2i002i2i−2i−2i000000000000000
χ1822-2-22-222-2-222-2-2022-2-20000-22-220000−2i2i00−2i−2i2i2i000000000000000
χ1922-2-2-2222-2-222-2-20-2-22200002-2-220000002-2000022-2-200000000000
χ2022-2-2-2222-2-222-2-20-2-22200002-2-22000000-220000-2-22200000000000
χ2122-2-2-2222-2-222-2-20-2-2220000-222-2002i−2i0000000000000000002i−2i000
χ2222-2-2-2222-2-222-2-20-2-2220000-222-200−2i2i000000000000000000−2i2i000
χ234444441-21-21-2-2141-21-2-2-2110000002200220000-1-1-1-1000000-1-1000
χ244444441-21-21-2-2141-21-2-2-211000000-2-200-2-20000111100000011000
χ254444441-21-21-2-21-41-21-222-1-10000002200-2-200001111000000-1-1000
χ264444441-21-21-2-21-41-21-222-1-1000000-2-200220000-1-1-1-100000011000
χ27444444-21-21-211-24-21-2111-2-2000022002200-1-1-1-100000000-1-100000
χ28444444-21-21-211-24-21-2111-2-20000-2-200-2-2001111000000001100000
χ29444444-21-21-211-2-4-21-21-1-12200002200-2-200111100000000-1-100000
χ30444444-21-21-211-2-4-21-21-1-1220000-2-2002200-1-1-1-1000000001100000
χ3144-4-44-4-212-1-21-120-212-13i−3i0000002-2002i−2i00−i−iii00000000-1100000
χ3244-4-44-4-212-1-21-120-212-13i−3i000000-2200−2i2i00ii−i−i000000001-100000
χ3344-4-44-4-212-1-21-120-212-1−3i3i0000002-200−2i2i00ii−i−i00000000-1100000
χ3444-4-44-4-212-1-21-120-212-1−3i3i000000-22002i−2i00−i−iii000000001-100000
χ3544-4-4-441-2-121-22-10-121-2003i−3i0000002i−2i002-20000-1-111000000−ii000
χ3644-4-4-441-2-121-22-10-121-2003i−3i000000−2i2i00-22000011-1-1000000i−i000
χ3744-4-4-441-2-121-22-10-121-200−3i3i0000002i−2i00-22000011-1-1000000−ii000
χ3844-4-4-441-2-121-22-10-121-200−3i3i000000−2i2i002-20000-1-111000000i−i000
χ394-44-40044-4-4-4-444000000000000000000000000000000022−220000000
χ404-44-40044-4-4-4-4440000000000000000000000000000000−22220000000
χ414-4-44004444-4-4-4-400000000000000000000000000000−2i22i2000000000
χ424-4-44004444-4-4-4-4000000000000000000000000000002i2−2i2000000000
χ438888-8-82-42-42-4-420-24-2400000000000000000000000000000000000
χ448888-8-8-42-42-422-404-24-200000000000000000000000000000000000
χ4588-8-88-82-4-242-44-202-4-2400000000000000000000000000000000000
χ4688-8-8-88-424-2-42-2404-2-4200000000000000000000000000000000000
χ478-88-8002-4-24-24-420000000000000000000000000i6−i6i6−i600000000000
χ488-88-8002-4-24-24-420000000000000000000000000−i6i6−i6i600000000000
χ498-88-800-424-24-22-4000000000000000000000i6−i6i6−i6000000000000000
χ508-88-800-424-24-22-4000000000000000000000−i6i6−i6i6000000000000000
χ518-8-88002-42-4-244-20000000000000000000000000i6−i6−i6i600000000000
χ528-8-88002-42-4-244-20000000000000000000000000−i6i6i6−i600000000000
χ538-8-8800-42-424-2-240000000000000000000006−6−66000000000000000
χ548-8-8800-42-424-2-24000000000000000000000−666−6000000000000000

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