Finite Group Databasebeta

← Group #11884095

Character table — Group #11884095

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666663446661212121222481212121212121212242424242424242422444668812121212121212121244466812121212122424242424881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111-111-1-11-1-111111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-1-111-11-111-1-1-1111-1-111-1-111-11-1
χ411111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-11111111111111111111111-1-1-1111111111111-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111111-1-11-11
χ8111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1111-11-1-1111-1-1-111-1-1-1-11111-1
χ9111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1111-1-1-11-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-11-11-1-1-1111-1-1-1-111-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-1-1-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-11111111111-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-11-1111-1-1-11111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1111-111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000002-2-2220022-2-20000000000000-20000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-20000000000-22-22200-2-2220000000000000-2000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000002-22-2-20022-2-200000000000002000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-20000000000-222-2-200-2-222000000000000020000002-200000
χ2122222-12222-1-1-12-122-1-1-1-12-120022-1-1-1-122-1-122-1-1-1-1-1-1222200022-1-1-1-12-1-1-1-1200-1-10-1-100000-1-10000000
χ2222222-12222-1-1-12-122-1-1-1-12-120022-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-2000-2-211112-1-1-1-1-2001101100000110000000
χ2322222-12222-1-1-12-122-1-1-1-12-1200-2-2-1-11122-1-1-2-211111122-2-2000221111-211-1-1-200-1-101100000-1-10000000
χ2422222-12222-1-1-12-122-1-1-1-12-1200-2-2-1-11122-1-1-2-2111111-2-222000-2-2-1-1-1-1-211-1-1200110-1-100000110000000
χ2522222-12222-1-1-12-1-2-2-1-1-1-12-12002-211-1-1-2-2-1-1-2-21111112222000-2-2-1-1-1-12-1-111-200-1-101100000110000000
χ2622222-12222-1-1-12-1-2-2-1-1-1-12-12002-211-1-1-2-2-1-1-2-2111111-2-2-2-20002211112-1-111200110-1-100000-1-10000000
χ2722222-12222-1-1-12-1-2-2-1-1-1-12-1200-221111-2-2-1-122-1-1-1-1-1-122-2-2000-2-21111-21111200-1-10-1-100000110000000
χ2822222-12222-1-1-12-1-2-2-1-1-1-12-1200-221111-2-2-1-122-1-1-1-1-1-1-2-22200022-1-1-1-1-21111-2001101100000-1-10000000
χ292222-1222-1-1222-1-122-1-1-12-12-122222222-1-1-1-1-1-122-1-1-1-100002-1-1000000-1-1-1-1-102200200-1-1-1-1-1000000-100
χ302222-1222-1-1222-1-122-1-1-12-12-122-2-222-2-2-1-1-1-111-2-2111100002-1-1000000111-1-102-200-200-1-1-111000000100
χ312222-1222-1-1222-1-122-1-1-12-12-1-2-2222222-1-1-1-1-1-122-1-1-1-10000-211000000-1-1-1-1-10-2-200-20011111000000100
χ322222-1222-1-1222-1-122-1-1-12-12-1-2-2-2-222-2-2-1-1-1-111-2-211110000-211000000111-1-10-2200200111-1-1000000-100
χ332222-1222-1-1222-1-1-2-2-1-1-12-12-1222-2-2-22211-1-111-2-2111100002-1-1000000-1-1-1110-2200-200-11111000000-100
χ342222-1222-1-1222-1-1-2-2-1-1-12-12-122-22-2-2-2-211-1-1-1-122-1-1-1-100002-1-1000000111110-2-200200-111-1-1000000100
χ352222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-22-2-2-22211-1-111-2-211110000-211000000-1-1-11102-2002001-1-1-1-1000000100
χ362222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-2-22-2-2-2-211-1-1-1-122-1-1-1-10000-2110000001111102200-2001-1-111000000-100
χ372-2-2222-22-2-22-2-2222-2-2-22-2-22200002-2002-22-2000000002-2000002-200000002-20002-2000000002-20000000
χ382-2-2222-22-2-22-2-2222-2-2-22-2-22200002-2002-22-200000000-2200000-2200000002-2000-2200000000-220000000
χ392-2-2222-22-2-22-2-222-22-2-22-2-2220000-2200-222-2000000002-200000-220000000-220002-200000000-220000000
χ402-2-2222-22-2-22-2-222-22-2-22-2-2220000-2200-222-200000000-22000002-20000000-22000-22000000002-20000000
χ412-2-222-1-22-2-2-1112-12-211-11-2-120000-113−32-2-11003−333−3−32-2000002-23−33−303−3-11000-1103−300000-110000000
χ422-2-222-1-22-2-2-1112-12-211-11-2-120000-113−32-2-11003−333−3−3-2200000-22−33−3303−3-110001-10−33000001-10000000
χ432-2-222-1-22-2-2-1112-12-211-11-2-120000-11−332-2-1100−33−3−3332-2000002-2−33−330−33-11000-110−3300000-110000000
χ442-2-222-1-22-2-2-1112-12-211-11-2-120000-11−332-2-1100−33−3−333-2200000-223−33−30−33-110001-103−3000001-10000000
χ452-2-222-1-22-2-2-1112-1-2211-11-2-1200001-13−3-22-1100−33−3−3332-200000-223−33−303−31-1000-110−33000001-10000000
χ462-2-222-1-22-2-2-1112-1-2211-11-2-1200001-13−3-22-1100−33−3−333-22000002-2−33−3303−31-10001-103−300000-110000000
χ472-2-222-1-22-2-2-1112-1-2211-11-2-1200001-1−33-22-11003−333−3−32-200000-22−33−330−331-1000-1103−3000001-10000000
χ482-2-222-1-22-2-2-1112-1-2211-11-2-1200001-1−33-22-11003−333−3−3-22000002-23−33−30−331-10001-10−3300000-110000000
χ4944444-2-4-444-2-2-24-200-2-2-22-42-400000000002200000000004-400000-2-222000000000000000000000000000
χ5044444-2-4-444-2-2-24-200-2-2-22-42-40000000000220000000000-440000022-2-2000000000000000000000000000
χ514444-24-4-4-2-2444-2-200-2-2-2-42-42440000000022000000000000-4-2-2000000000000000000020000000000000
χ524444-24-4-4-2-2444-2-200-2-2-2-42-42-4-400000000220000000000004220000000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-222-2-2112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-422-2-222112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-444004-4-44-4-44004-4-400004-4000000000000000000000004-4000000000000000000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000-4400000000000000000000000-44000000000000000000000000000000000
χ5944-4-4-2400-22-44-42-200-22200004-40000000000i6−i600i6−i6i6−i600000-220000000000000000000000i6−i6000000000
χ6044-4-4-2400-22-44-42-200-22200004-40000000000−i6i600−i6i6−i6i600000-220000000000000000000000−i6i6000000000
χ6144-4-4-2400-22-44-42-200-2220000-440000000000i6−i600i6−i6i6−i6000002-20000000000000000000000−i6i6000000000
χ6244-4-4-2400-22-44-42-200-2220000-440000000000−i6i600−i6i6−i6i6000002-20000000000000000000000i6−i6000000000
χ634-44-44400-44-4-44-4400-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ644-44-44400-44-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ654-4-44444-4-4-44-4-44400-4-4444-4-40000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-4-2224-20022-2-242-400000000002-20000000000000000023−23−2323000000000000000000000000000
χ674-4-444-24-4-4-4-2224-20022-2-242-400000000002-200000000000000000−232323−23000000000000000000000000000
χ684-4-44-244-4224-4-4-2-20022-24-2-4200000000002-200000000000000000000000000000000000−2i32i300000000000
χ694-4-44-244-4224-4-4-2-20022-24-2-4200000000002-2000000000000000000000000000000000002i3−2i300000000000
χ704-4-44-24-44224-4-4-2-24-422-2-424-200004-400-22-22000000000000000000000000-220000000000000000000000
χ714-4-44-24-44224-4-4-2-2-4422-2-424-20000-44002-2-220000000000000000000000002-20000000000000000000000
χ724-4-44-2-2-4422-222-214-4-1-1122-2-20000-2223−23-221-10023−23−3−33300000000000000−331-10000000000000000000000
χ734-4-44-2-2-4422-222-214-4-1-1122-2-20000-22−2323-221-100−232333−3−3000000000000003−31-10000000000000000000000
χ744-4-44-2-2-4422-222-21-44-1-1122-2-200002-223−232-21-100−232333−3−300000000000000−33-110000000000000000000000
χ754-4-44-2-2-4422-222-21-44-1-1122-2-200002-2−23232-21-10023−23−3−333000000000000003−3-110000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4442002-2-200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-20000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ808-88-88-400-8844-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-48004-4-8-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44200-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44200-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-48-844-444-4200-2-22-4-4440000000000-22000000000000000000000000000000000000000000000000

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