Finite Group Databasebeta

← Group #11795321

Character table — Group #11795321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444888881616161618181818242424242424242424242424242424243636363648484848727272
order12224433666666412121212121212122244444488882424242424242424888812121212488
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
χ1522-2-22-222-2-222-2-202-22-200002-22-20000002-2000022-2-200000000000
χ1622-2-22-222-2-222-2-202-22-200002-22-2000000-220000-2-22200000000000
χ1722-2-22-222-2-222-2-202-22-20000-22-22002i−2i0000000000000000002i−2i000
χ1822-2-22-222-2-222-2-202-22-20000-22-2200−2i2i000000000000000000−2i2i000
χ1922-2-2-2222-2-222-2-20-22-2200002-2-222i−2i0000000000000000002i−2i00000
χ2022-2-2-2222-2-222-2-20-22-2200002-2-22−2i2i000000000000000000−2i2i00000
χ2122-2-2-2222-2-222-2-20-22-220000-222-200002-20022-2-2000000000000000
χ2222-2-2-2222-2-222-2-20-22-220000-222-20000-2200-2-222000000000000000
χ234444441-21-21-21-241-2-2111-2-2000022002200-1-1-1-100000000-1-100000
χ244444441-21-21-21-241-2-2111-2-20000-2-200-2-2001111000000001100000
χ254444441-21-21-21-2-41-2-21-1-12200002200-2-200111100000000-1-100000
χ264444441-21-21-21-2-41-2-21-1-1220000-2-2002200-1-1-1-1000000001100000
χ27444444-21-21-21-214-211-2-2-2110000002200220000-1-1-1-1000000-1-1000
χ28444444-21-21-21-214-211-2-2-211000000-2-200-2-20000111100000011000
χ29444444-21-21-21-21-4-211-222-1-10000002200-2-200001111000000-1-1000
χ30444444-21-21-21-21-4-211-222-1-1000000-2-200220000-1-1-1-100000011000
χ3144-4-44-4-212-1-212-10-2-112003i−3i0000002i−2i002-20000-1-111000000−ii000
χ3244-4-44-4-212-1-212-10-2-112003i−3i000000−2i2i00-22000011-1-1000000i−i000
χ3344-4-44-4-212-1-212-10-2-11200−3i3i0000002i−2i00-22000011-1-1000000−ii000
χ3444-4-44-4-212-1-212-10-2-11200−3i3i000000−2i2i002-20000-1-111000000i−i000
χ3544-4-4-441-2-121-2-120-1-2213i−3i0000002i−2i002-200-1-11100000000−ii00000
χ3644-4-4-441-2-121-2-120-1-2213i−3i000000−2i2i00-220011-1-100000000i−i00000
χ3744-4-4-441-2-121-2-120-1-221−3i3i0000002i−2i00-220011-1-100000000−ii00000
χ3844-4-4-441-2-121-2-120-1-221−3i3i000000−2i2i002-200-1-11100000000i−i00000
χ394-44-4004444-4-4-4-4000000000000000000000000000000022−220000000
χ404-44-4004444-4-4-4-40000000000000000000000000000000−22220000000
χ414-4-440044-4-4-4-4440000000000000000000000000000022−22000000000
χ424-4-440044-4-4-4-44400000000000000000000000000000−2222000000000
χ438888-8-82-42-42-42-40-244-200000000000000000000000000000000000
χ448888-8-8-42-42-42-4204-2-2400000000000000000000000000000000000
χ4588-8-88-82-4-242-4-24024-4-200000000000000000000000000000000000
χ4688-8-8-88-424-2-424-2042-2-400000000000000000000000000000000000
χ478-88-8002-42-4-24-24000000000000000000000i6−i6i6−i6000000000000000
χ488-88-8002-42-4-24-24000000000000000000000−i6i6−i6i6000000000000000
χ498-88-800-42-424-24-20000000000000000000000000i6−i6i6−i600000000000
χ508-88-800-42-424-24-20000000000000000000000000−i6i6−i6i600000000000
χ518-8-88002-4-24-242-4000000000000000000000i6−i6−i6i6000000000000000
χ528-8-88002-4-24-242-4000000000000000000000−i6i6i6−i6000000000000000
χ538-8-8800-424-24-2-420000000000000000000000000i6−i6−i6i600000000000
χ548-8-8800-424-24-2-420000000000000000000000000−i6i6i6−i600000000000

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