Finite Group Databasebeta

← Group #11864227

Character table — Group #11864227

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666344666121212122244481212121212122424242424242424222444661212121212121212224444666881212122424242422121248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1-1-111111-1-1111111-1-1-1-11-1-1-1-11-111111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-111-1-11-111
χ5111111111111111111111111-1-1111111111111111111111-1-1-1-1-111111111-1-1-1-1-11111-11-1-1-1-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-11-11111-1-1-1-111-1-1-1-1-1111
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
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-111111111-1-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111111-11-1-1-1-111111111111-1-11-1-11111-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-1-1-1-11
χ11111111111111111-1-1111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-11-1-111-111-1-1-1-11111-11-11
χ12111111111111111-1-1111111111-1-1-11-1-1-1-11111111111-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1-111-1-1111-11-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-111-1-11-1-11111-1-1111-1-11
χ14111111111111111-1-11111111-1-111-11-1-1-1-111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-111-1-11111-111-1
χ15111111111111111-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-11111-1111111-1-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222000000-2-200000000-200-2002222000000-2-22200-20000-2000000000000
χ18222222-2-2222222200222-2-2-2-222-2-2000000-2-200000000200-20022-2-200000022-2-20020000-2000000000000
χ19222222-2-2222222200222-2-2-2-2-2-222000000-2-200000000-200200-2-22200000022-2-200-200002000000000000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-2000000-2-200000000200200-2-2-2-2000000-2-22200200002000000000000
χ2122222-1222-12-1-12-122-1-1-1-12-12002222-1-122-1-122-1-1-1-1-1-122200000-1-12-1-1-1-1-1000002-1-1-10200000-1-100-1000
χ2222222-1222-12-1-12-122-1-1-1-12-120022-2-2-1-122-1-1-2-211111122200000-1-1-2111-1-100000-2-1-1-10-20000011001000
χ2322222-1222-12-1-12-122-1-1-1-12-1200-2-222-1-122-1-122-1-1-1-1-1-1-2-2-200000112-1-1-1-1-100000-21110-20000011001000
χ2422222-1222-12-1-12-122-1-1-1-12-1200-2-2-2-2-1-122-1-1-2-2111111-2-2-20000011-2111-1-10000021110200000-1-100-1000
χ2522222-1222-12-1-12-1-2-2-1-1-1-12-1200222-211-2-2-1-1-2-21111112-2-200000-1-12-1-1-111000002-1110-2000001100-1000
χ2622222-1222-12-1-12-1-2-2-1-1-1-12-120022-2211-2-2-1-122-1-1-1-1-1-12-2-200000-1-1-21111100000-2-1110200000-1-1001000
χ2722222-1222-12-1-12-1-2-2-1-1-1-12-1200-2-22-211-2-2-1-1-2-2111111-22200000112-1-1-11100000-21-1-10200000-1-1001000
χ2822222-1222-12-1-12-1-2-2-1-1-1-12-1200-2-2-2211-2-2-1-122-1-1-1-1-1-1-2220000011-2111110000021-1-10-2000001100-1000
χ292222-1222-12-122-1-122-1-1-12-12-122002222-1-1-1-1-1-122-1-1-1-1000222-1-100-12-1-1-1-100002000020-1-1-1-1-100000-100
χ302222-1222-12-122-1-122-1-1-12-12-12200-2-222-1-1-1-111-2-21111000222-1-1001-211-1-10000-20000-20-1-1-11100000100
χ312222-1222-12-122-1-122-1-1-12-12-1-2-2002222-1-1-1-1-1-122-1-1-1-1000-2-2-21100-12-1-1-1-10000-20000-201111100000100
χ322222-1222-12-122-1-122-1-1-12-12-1-2-200-2-222-1-1-1-111-2-21111000-2-2-211001-211-1-100002000020111-1-100000-100
χ332222-1222-12-122-1-1-2-2-1-1-12-12-122002-2-2-211-1-111-2-211110002-2-2-1-100-12-1-111000020000-20-1111100000-100
χ342222-1222-12-122-1-1-2-2-1-1-12-12-12200-22-2-211-1-1-1-122-1-1-1-10002-2-2-1-1001-211110000-2000020-111-1-100000100
χ352222-1222-12-122-1-1-2-2-1-1-12-12-1-2-2002-2-2-211-1-111-2-21111000-2221100-12-1-1110000-20000201-1-1-1-100000100
χ362222-1222-12-122-1-1-2-2-1-1-12-12-1-2-200-22-2-211-1-1-1-122-1-1-1-1000-22211001-21111000020000-201-1-11100000-100
χ372-2-22222-2-2-2-2-22222-2-2-22-2-2220000002-22-22-200000000000000000000002-22-22-2000000000000002-20000
χ382-2-22222-2-2-2-2-22222-2-2-22-2-2220000002-22-22-200000000000000000000002-2-22-2200000000000000-220000
χ392-2-22222-2-2-2-2-2222-22-2-22-2-222000000-22-222-20000000000000000000000-222-22-200000000000000-220000
χ402-2-22222-2-2-2-2-2222-22-2-22-2-222000000-22-222-20000000000000000000000-22-22-22000000000000002-20000
χ412-2-2222-22-2-2-2-222200-2-2222-2-20000000000-220000000002-202-200000000002-2-220002-20002-20000000000
χ422-2-2222-22-2-2-2-222200-2-2222-2-20000000000-220000000002-20-220000000000-222-20002-2000-220000000000
χ432-2-2222-22-2-2-2-222200-2-2222-2-20000000000-22000000000-2202-20000000000-222-2000-220002-20000000000
χ442-2-2222-22-2-2-2-222200-2-2222-2-20000000000-22000000000-220-2200000000002-2-22000-22000-220000000000
χ4544444-2-4-44-24-2-24-200-2-2-22-42-400440000002200000000-40000000-2-2000000000000200000000000000000
χ4644444-2-4-44-24-2-24-200-2-2-22-42-400-4-400000022000000004000000022000000000000-200000000000000000
χ474444-24-4-4-24-244-2-200-2-2-2-42-4244000000002200000000000-400-2-200000000000000000002000000000000
χ484444-24-4-4-24-244-2-200-2-2-2-42-42-4-4000000002200000000000400220000000000000000000-2000000000000
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
χ5344-4-4440044-4-4-4-44004-4-400004-40000000000000000000000004-400000000000000000000000000000000
χ5444-4-4440044-4-4-4-44004-4-40000-44000000000000000000000000-4400000000000000000000000000000000
χ5544-4-4-2400-242-4-42-200-22200004-40000000000i6−i600i6i6−i6−i6000000-220000000000000000000000i6−i600000000
χ5644-4-4-2400-242-4-42-200-22200004-40000000000−i6i600−i6−i6i6i6000000-220000000000000000000000−i6i600000000
χ5744-4-4-2400-242-4-42-200-2220000-440000000000i6−i600i6i6−i6−i60000002-20000000000000000000000−i6i600000000
χ5844-4-4-2400-242-4-42-200-2220000-440000000000−i6i600−i6−i6i6i60000002-20000000000000000000000i6−i600000000
χ594-44-44400-4-444-4-4400-44-40000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ604-44-44400-4-444-4-4400-44-4000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ614-44-44-200-424-22-4-2002-220000004i−4i00000000006−66−66−600000000−2i2i0000000000000000000000i6−i6000000
χ624-44-44-200-424-22-4-2002-220000004i−4i0000000000−66−66−6600000000−2i2i0000000000000000000000−i6i6000000
χ634-44-44-200-424-22-4-2002-22000000−4i4i00000000006−66−66−6000000002i−2i0000000000000000000000−i6i6000000
χ644-44-44-200-424-22-4-2002-22000000−4i4i0000000000−66−66−66000000002i−2i0000000000000000000000i6−i6000000
χ654-4-444-24-4-42-42-24-24-422-22-4-24000000-224-4-220000000000000000000000-22000000000000000000000000
χ664-4-444-24-4-42-42-24-2-4422-22-4-240000002-2-44-2200000000000000000000002-2000000000000000000000000
χ674-4-444-2-44-42-42-24-20022-2-242-400000000002-20000000004-400000000000000000000-22000000000000000
χ684-4-444-2-44-42-42-24-20022-2-242-400000000002-2000000000-44000000000000000000002-2000000000000000
χ694-4-44-244-42-42-44-2-24-422-2-424-20000004-4-22-220000000000000000000000-22000000000000000000000000
χ704-4-44-244-42-42-44-2-2-4422-2-424-2000000-442-2-2200000000000000000000002-2000000000000000000000000
χ714-4-44-24-442-42-44-2-20022-24-2-4200000000002-20000000000004-40000000000000000000000-220000000000
χ724-4-44-24-442-42-44-2-20022-24-2-4200000000002-2000000000000-4400000000000000000000002-20000000000
χ734-4-44-2-24-42222-2-214-4-1-1122-2-2000000-22-221-100003i−3i−3i3i0000000000003i−3i1-1000000000000000000000000
χ744-4-44-2-24-42222-2-214-4-1-1122-2-2000000-22-221-10000−3i3i3i−3i000000000000−3i3i1-1000000000000000000000000
χ754-4-44-2-24-42222-2-21-44-1-1122-2-20000002-22-21-100003i−3i−3i3i000000000000−3i3i-11000000000000000000000000
χ764-4-44-2-24-42222-2-21-44-1-1122-2-20000002-22-21-10000−3i3i3i−3i0000000000003i−3i-11000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-88-4008-4-844-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-200000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ8088-8-8-4-400-4-444442002-2-20000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ818-88-8-48004-8-48-84-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-444200-22-200000000000000000026−26−66−660000000000000000000000000000000000000000
χ838-88-8-4-40044-4-444200-22-2000000000000000000−26266−66−60000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-4200-2-22-4-4440000000000-22000000000000000000000000000000000000000000000000

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