Finite Group Databasebeta

← Group #11868743

Character table — Group #11868743

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666634466612121212444448121212121212242424242424242444444412121212121212121212224444881212121212122424242444121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111111-1-1-111-1-1111111-1-1-1-11-11-1-1-1-111111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1111-1-111-1-11-111
χ5111111111111111111111111-1-1111111111111111111-1-1-1111-1-111111111-1-1-1-1-11-11111-1-1-1-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-11-11-1111-1-1-111-1-1-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1111111-1-11-1-11-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111111-11-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-1-1-1-11
χ11111111111111111-1-1111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-11-1-11-1111-1-1-1-11111-11-11
χ12111111111111111-1-1111111111-1-1-11-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1111-11-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-111-11-1-1-11111-1-1111-1-11
χ14111111111111111-1-11111111-1-111-11-1-1-1-11111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-111-1-11111-111-1
χ15111111111111111-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-111-111-1111111-1-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222000000-2-200000000-200-200222200000022-2-20000-200-2000000000000
χ18222222-2-2222222200222-2-2-2-222-2-2000000-2-200000000-20020022-2-2000000-2-2220000200-2000000000000
χ19222222-2-2222222200222-2-2-2-2-2-222000000-2-200000000200-200-2-222000000-2-2220000-2002000000000000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-2000000-2-200000000200200-2-2-2-200000022-2-200002002000000000000
χ2122222-12222-1-1-12-122-1-1-12-12-100222222-1-1-1-122-1-1-1-1-1-100022200-1-1-12-1-1-1-100000202-1-1-100000-1-100-1000
χ2222222-12222-1-1-12-122-1-1-12-12-10022-2-222-1-1-1-1-2-211111100022200-1-11-211-1-100000-20-2-1-1-10000011001000
χ2322222-12222-1-1-12-122-1-1-12-12-100-2-22222-1-1-1-122-1-1-1-1-1-1000-2-2-20011-12-1-1-1-100000-20-21110000011001000
χ2422222-12222-1-1-12-122-1-1-12-12-100-2-2-2-222-1-1-1-1-2-2111111000-2-2-200111-211-1-10000020211100000-1-100-1000
χ2522222-12222-1-1-12-1-2-2-1-1-12-12-100222-2-2-211-1-1-2-21111110002-2-200-1-1-12-1-1110000020-2-111000001100-1000
χ2622222-12222-1-1-12-1-2-2-1-1-12-12-10022-22-2-211-1-122-1-1-1-1-1-10002-2-200-1-11-2111100000-202-11100000-1-1001000
χ2722222-12222-1-1-12-1-2-2-1-1-12-12-100-2-22-2-2-211-1-1-2-2111111000-2220011-12-1-11100000-2021-1-100000-1-1001000
χ2822222-12222-1-1-12-1-2-2-1-1-12-12-100-2-2-22-2-211-1-122-1-1-1-1-1-1000-22200111-211110000020-21-1-1000001100-1000
χ292222-1222-1-1222-1-122-1-1-1-12-12220022-1-122-1-1-1-122-1-1-1-1222000-1-1002-1-1-1-1-100002020000-1-1-1-1-100000-100
χ302222-1222-1-1222-1-122-1-1-1-12-122200-2-2-1-122-1-111-2-21111222000-1-100-2111-1-10000-20-20000-1-1-11100000100
χ312222-1222-1-1222-1-122-1-1-1-12-12-2-20022-1-122-1-1-1-122-1-1-1-1-2-2-200011002-1-1-1-1-10000-20-200001111100000100
χ322222-1222-1-1222-1-122-1-1-1-12-12-2-200-2-2-1-122-1-111-2-21111-2-2-20001100-2111-1-100002020000111-1-100000-100
χ332222-1222-1-1222-1-1-2-2-1-1-1-12-1222002-211-2-2-1-111-2-211112-2-2000-1-1002-1-1-111000020-20000-1111100000-100
χ342222-1222-1-1222-1-1-2-2-1-1-1-12-122200-2211-2-2-1-1-1-122-1-1-1-12-2-2000-1-100-2111110000-2020000-111-1-100000100
χ352222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-2002-211-2-2-1-111-2-21111-22200011002-1-1-1110000-20200001-1-1-1-100000100
χ362222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-200-2211-2-2-1-1-1-122-1-1-1-1-2220001100-211111000020-200001-1-11100000-100
χ372-22-2222-22-22-2-2-222-2-2-2222-2-20000002-22-22-200000000000000000000002-22-22-2000000000000002-20000
χ382-22-2222-22-22-2-2-222-2-2-2222-2-20000002-22-22-200000000000000000000002-2-22-2200000000000000-220000
χ392-22-2222-22-22-2-2-22-22-2-2222-2-2000000-22-222-20000000000000000000000-222-22-200000000000000-220000
χ402-22-2222-22-22-2-2-22-22-2-2222-2-2000000-22-222-20000000000000000000000-22-22-22000000000000002-20000
χ412-22-222-222-22-2-2-2200-2-22-2-2220000000000-220000000002i−2i02i−2i00000000002-2-22000002i−2i02i−2i0000000000
χ422-22-222-222-22-2-2-2200-2-22-2-2220000000000-220000000002i−2i0−2i2i0000000000-222-200000−2i2i02i−2i0000000000
χ432-22-222-222-22-2-2-2200-2-22-2-2220000000000-22000000000−2i2i02i−2i0000000000-222-2000002i−2i0−2i2i0000000000
χ442-22-222-222-22-2-2-2200-2-22-2-2220000000000-22000000000−2i2i0−2i2i00000000002-2-2200000−2i2i0−2i2i0000000000
χ4544444-2-4-444-2-2-24-200-2-2-2-42-4200440000002200000000000-40000-2-2000000000000002000000000000000
χ4644444-2-4-444-2-2-24-200-2-2-2-42-4200-4-40000002200000000000400002200000000000000-2000000000000000
χ474444-24-4-4-2-2444-2-200-2-2-22-42-444000000002200000000-400000-2-200000000000000000002000000000000
χ484444-24-4-4-2-2444-2-200-2-2-22-42-4-4-4000000002200000000400000220000000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-2112222-1-1-1-1000000000022-1-111000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222112222-1-1-1-10000000000-2-211-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-44222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ5344-4-44400-4-4-4-444400-44-40000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ5444-4-44400-4-4-4-444400-44-4000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ5544-4-44-200-4-422-24-2002-220000004i−4i00000000006−666−6−600000000−2i2i0000000000000000000000i6−i6000000
χ5644-4-44-200-4-422-24-2002-220000004i−4i0000000000−66−6−66600000000−2i2i0000000000000000000000−i6i6000000
χ5744-4-44-200-4-422-24-2002-22000000−4i4i00000000006−666−6−6000000002i−2i0000000000000000000000−i6i6000000
χ5844-4-44-200-4-422-24-2002-22000000−4i4i0000000000−66−6−666000000002i−2i0000000000000000000000i6−i6000000
χ594-44-44-24-44-4-222-4-24-422-24-2-420000004-4-22-220000000000000000000000-22000000000000000000000000
χ604-44-44-24-44-4-222-4-2-4422-24-2-42000000-442-2-2200000000000000000000002-2000000000000000000000000
χ614-44-44-2-444-4-222-4-20022-2-424-200000000002-20000000000004i−4i0000000000000000000−2i2i0000000000000
χ624-44-44-2-444-4-222-4-20022-2-424-200000000002-2000000000000−4i4i00000000000000000002i−2i0000000000000
χ634-44-4-244-4-224-4-42-24-422-2-242-4000000-224-4-220000000000000000000000-22000000000000000000000000
χ644-44-4-244-4-224-4-42-2-4422-2-242-40000002-2-44-2200000000000000000000002-2000000000000000000000000
χ654-44-4-24-44-224-4-42-20022-22-4-2400000000002-20000000004i−4i0000000000000000000000000−2i2i0000000000
χ664-44-4-24-44-224-4-42-20022-22-4-2400000000002-2000000000−4i4i00000000000000000000000002i−2i0000000000
χ674-44-4-2-24-4-22-222214-4-1-11-2-222000000-22-221-100003i−3i3i−3i0000000000003i−3i1-1000000000000000000000000
χ684-44-4-2-24-4-22-222214-4-1-11-2-222000000-22-221-10000−3i3i−3i3i000000000000−3i3i1-1000000000000000000000000
χ694-44-4-2-24-4-22-22221-44-1-11-2-2220000002-22-21-100003i−3i3i−3i000000000000−3i3i-11000000000000000000000000
χ704-44-4-2-24-4-22-22221-44-1-11-2-2220000002-22-21-10000−3i3i−3i3i0000000000003i−3i-11000000000000000000000000
χ714-4-444400-44-44-4-44004-4-400004-40000000000000000000000004-400000000000000000000000000000000
χ724-4-444400-44-44-4-44004-4-40000-44000000000000000000000000-4400000000000000000000000000000000
χ734-4-44-24002-2-44-42-200-22200004-40000000000i6−i600i6−i6−i6i6000000-220000000000000000000000i6−i600000000
χ744-4-44-24002-2-44-42-200-22200004-40000000000−i6i600−i6i6i6−i6000000-220000000000000000000000−i6i600000000
χ754-4-44-24002-2-44-42-200-2220000-440000000000i6−i600i6−i6−i6i60000002-20000000000000000000000−i6i600000000
χ764-4-44-24002-2-44-42-200-2220000-440000000000−i6i600−i6i6i6−i60000002-20000000000000000000000i6−i600000000
χ778888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-480044-8-88-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004444-4-4200-22-200000000000000000026−26−6−6660000000000000000000000000000000000000000
χ8088-8-8-4-4004444-4-4200-22-2000000000000000000−262666−6−60000000000000000000000000000000000000000
χ818-88-8-4-4-88-44-4444200-2-2244-4-40000000000-22000000000000000000000000000000000000000000000000
χ828-8-888-400-884-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-4442002-2-200000000000000002i6−2i600−i6i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4004-44-4442002-2-20000000000000000−2i62i600i6−i6−i6i60000000000000000000000000000000000000000

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