Finite Group Databasebeta

← Group #11866149

Character table — Group #11866149

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666344666121212124444481212121212122424242424242424444444121212121212121212122244228812121212121224242424226648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111111-1-1-111-1-1111111-1-1-1-11-11-1111-1-1-111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-1-1111-1-111111111-1-1-1-1-11-11-1-1-1111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-11-11-1-1-1-111111-1-1-1-11-111
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
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-1111111-1-111111111-1-11-1-11-1-1-1-1-1-1-1-1111-1
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
χ11111111111111111-1-1111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-1-1-11-1-111-1-1-111-1-111111-1-11
χ12111111111111111-1-1111111111-1-1-11-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-111-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-111-1-1111-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-111-11-1-1-1-11111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-1-1-111111-11-1
χ15111111111111111-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1111111-1-111-111-1111111-1-1-1-11-1
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
χ17222222-2-2222222200222-2-2-2-22222000000-2-200000000-200-2002222000000-2-2220000-200-2000000000000
χ18222222-2-2222222200222-2-2-2-222-2-2000000-2-200000000-20020022-2-200000022-2-20000-2002000000000000
χ19222222-2-2222222200222-2-2-2-2-2-222000000-2-200000000200-200-2-22200000022-2-20000200-2000000000000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-2000000-2-200000000200200-2-2-2-2000000-2-22200002002000000000000
χ2122222-1222-12-12-1-122-1-1-12-12-100222222-1-1-1-122-1-1-1-1-1-100022200-1-12-1-1-1-1-100000202000-1-1-100-1-1000-100
χ2222222-1222-12-12-1-122-1-1-12-12-10022-2-222-1-1-1-1-2-211111100022200-1-1-21-1-11100000-20-2000-1-1-10011000100
χ2322222-1222-12-12-1-122-1-1-12-12-100-2-22222-1-1-1-122-1-1-1-1-1-1000-2-2-200112-1-1-1-1-100000-20-20001110011000100
χ2422222-1222-12-12-1-122-1-1-12-12-100-2-2-2-222-1-1-1-1-2-2111111000-2-2-20011-21-1-1110000020200011100-1-1000-100
χ2522222-1222-12-12-1-1-2-2-1-1-12-12-100222-2-2-211-1-1-2-21111110002-2-200-1-12-111-1-10000020-2000-1110011000-100
χ2622222-1222-12-12-1-1-2-2-1-1-12-12-10022-22-2-211-1-122-1-1-1-1-1-10002-2-200-1-1-21111100000-202000-11100-1-1000100
χ2722222-1222-12-12-1-1-2-2-1-1-12-12-100-2-22-2-2-211-1-1-2-2111111000-22200112-111-1-100000-2020001-1-100-1-1000100
χ2822222-1222-12-12-1-1-2-2-1-1-12-12-100-2-2-22-2-211-1-122-1-1-1-1-1-1000-2220011-2111110000020-20001-1-10011000-100
χ292222-1222-12-12-12-122-1-1-1-12-12220022-1-122-1-1-1-122-1-1-1-1222000-1-100-12-1-1-1-100002020-1-1-1000-1-10000-1000
χ302222-1222-12-12-12-122-1-1-1-12-122200-2-2-1-122-1-111-2-21111222000-1-1001-2-1-1110000-20-20-1-1-10001100001000
χ312222-1222-12-12-12-122-1-1-1-12-12-2-20022-1-122-1-1-1-122-1-1-1-1-2-2-20001100-12-1-1-1-10000-20-201110001100001000
χ322222-1222-12-12-12-122-1-1-1-12-12-2-200-2-2-1-122-1-111-2-21111-2-2-200011001-2-1-11100002020111000-1-10000-1000
χ332222-1222-12-12-12-1-2-2-1-1-1-12-1222002-211-2-2-1-111-2-211112-2-2000-1-100-1211-1-1000020-20-111000110000-1000
χ342222-1222-12-12-12-1-2-2-1-1-1-12-122200-2211-2-2-1-1-1-122-1-1-1-12-2-2000-1-1001-211110000-2020-111000-1-100001000
χ352222-1222-12-12-12-1-2-2-1-1-1-12-12-2-2002-211-2-2-1-111-2-21111-2220001100-1211-1-10000-20201-1-1000-1-100001000
χ362222-1222-12-12-12-1-2-2-1-1-1-12-12-2-200-2211-2-2-1-1-1-122-1-1-1-1-22200011001-21111000020-201-1-1000110000-1000
χ372-2-22222-2-2-222-2-2200-2-2222-2-200000000002-20000000002i−2i02i−2i00000000002-22-2000002i−2i02i−2i0000000000
χ382-2-22222-2-2-222-2-2200-2-2222-2-200000000002-20000000002i−2i0−2i2i0000000000-22-22000002i−2i0−2i2i0000000000
χ392-2-22222-2-2-222-2-2200-2-2222-2-200000000002-2000000000−2i2i02i−2i0000000000-22-2200000−2i2i02i−2i0000000000
χ402-2-22222-2-2-222-2-2200-2-2222-2-200000000002-2000000000−2i2i0−2i2i00000000002-22-200000−2i2i0−2i2i0000000000
χ412-2-2222-22-2-222-2-222-2-2-22-2-2220000002-22-2-22000000000000000000002-2002-2-22000000000000002-20000
χ422-2-2222-22-2-222-2-222-2-2-22-2-2220000002-22-2-22000000000000000000002-200-222-200000000000000-220000
χ432-2-2222-22-2-222-2-22-22-2-22-2-222000000-22-22-2200000000000000000000-22002-2-2200000000000000-220000
χ442-2-2222-22-2-222-2-22-22-2-22-2-222000000-22-22-2200000000000000000000-2200-222-2000000000000002-20000
χ4544444-2-4-44-24-24-2-200-2-2-2-42-4200440000002200000000000-40000-2-2000000000000000002000000000000
χ4644444-2-4-44-24-24-2-200-2-2-2-42-4200-4-40000002200000000000400002200000000000000000-2000000000000
χ474444-24-4-4-24-24-24-200-2-2-22-42-444000000002200000000-400000-2-200000000000000002000000000000000
χ484444-24-4-4-24-24-24-200-2-2-22-42-4-4-4000000002200000000400000220000000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-2-2-2112222-1-1-1-100000000002211-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-42222112222-1-1-1-10000000000-2-2-1-111000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-44222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ5344-4-444004-4-4-4-444004-4-40000004i−4i0000000000000000000000004i−4i000000000000000000000000000000
χ5444-4-444004-4-4-4-444004-4-4000000−4i4i000000000000000000000000−4i4i000000000000000000000000000000
χ5544-4-44-20042-42-4-2-200-2220000004i−4i0000000000i6−i6i6i6−i6−i600000000−2i2i00000000000000000000006−6000000
χ5644-4-44-20042-42-4-2-200-2220000004i−4i0000000000−i6i6−i6−i6i6i600000000−2i2i0000000000000000000000−66000000
χ5744-4-44-20042-42-4-2-200-222000000−4i4i0000000000i6−i6i6i6−i6−i6000000002i−2i0000000000000000000000−66000000
χ5844-4-44-20042-42-4-2-200-222000000−4i4i0000000000−i6i6−i6−i6i6i6000000002i−2i00000000000000000000006−6000000
χ594-44-44400-44-4-44-4400-44-400004i−4i0000000000000000000000004i−4i00000000000000000000000000000000
χ604-44-44400-44-4-44-4400-44-40000−4i4i000000000000000000000000−4i4i00000000000000000000000000000000
χ614-44-4-2400242-4-2-4-2002-2200004i−4i0000000000i6−i600i6−i6i6−i6000000−2i2i00000000000000000000006−600000000
χ624-44-4-2400242-4-2-4-2002-2200004i−4i0000000000−i6i600−i6i6−i6i6000000−2i2i0000000000000000000000−6600000000
χ634-44-4-2400242-4-2-4-2002-220000−4i4i0000000000i6−i600i6−i6i6−i60000002i−2i0000000000000000000000−6600000000
χ644-44-4-2400242-4-2-4-2002-220000−4i4i0000000000−i6i600−i6i6−i6i60000002i−2i00000000000000000000006−600000000
χ654-4-444-24-4-424-2-42-20022-24-2-420000000000-220000000000004i−4i0000000000000000000000−2i2i0000000000
χ664-4-444-24-4-424-2-42-20022-24-2-420000000000-22000000000000−4i4i00000000000000000000002i−2i0000000000
χ674-4-444-2-44-424-2-42-24-422-2-424-20000004-4-222-200000000000000000000-2200000000000000000000000000
χ684-4-444-2-44-424-2-42-2-4422-2-424-2000000-442-22-2000000000000000000002-200000000000000000000000000
χ694-4-44-244-42-4-242-4-20022-2-242-40000000000-220000000004i−4i0000000000000000000000−2i2i0000000000000
χ704-4-44-244-42-4-242-4-20022-2-242-40000000000-22000000000−4i4i00000000000000000000002i−2i0000000000000
χ714-4-44-24-442-4-242-4-24-422-22-4-24000000-224-42-200000000000000000000-2200000000000000000000000000
χ724-4-44-24-442-4-242-4-2-4422-22-4-240000002-2-442-2000000000000000000002-200000000000000000000000000
χ734-4-44-2-2-4422-2-22214-4-1-1122-2-2000000-22-22-1100003-3-330000000000001-13-3000000000000000000000000
χ744-4-44-2-2-4422-2-22214-4-1-1122-2-2000000-22-22-110000-333-30000000000001-1-33000000000000000000000000
χ754-4-44-2-2-4422-2-2221-44-1-1122-2-20000002-22-2-1100003-3-33000000000000-11-33000000000000000000000000
χ764-4-44-2-2-4422-2-2221-44-1-1122-2-20000002-22-2-110000-333-3000000000000-113-3000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4800-4-84-848-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-42002-2-20000000000000000002i6−2i6−i6−i6i6i60000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-42002-2-2000000000000000000−2i62i6i6i6−i6−i60000000000000000000000000000000000000000
χ818-88-88-400-8-4-8484-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-444-44200-22-200000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-4004-444-44200-22-20000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-48-844-4-444200-2-22-4-44400000000002-2000000000000000000000000000000000000000000000000

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