Finite Group Databasebeta

← Group #11868761

Character table — Group #11868761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666634466612121212444448121212121212242424242424242444444412121212121212121212224444881212121212122424242444121248
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
χ311111111111111111111111111-1-1111111111111111111-1-11-111-1-1111111-1-1-1-1-111-1-111-1-1111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11-111-1-1-1-111-1-1-1-1-1-11-1-11-111-1-11-1-111-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-1-111-11-1-111111111-1-1-1-11-1-111-1-111-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-1-1-111-11-1-111-111-1-1-1-11-111
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
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1111-1
χ10111111111111111-1-111111111111-11-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-1-1-111111-1-1-1-1-11
χ11111111111111111-1-1111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-111-1-1-1-1-11-11-1-1-1111-1-111111-1-11
χ12111111111111111-1-1111111111-1-1-11-1-1-1-11111111111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-111-111-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-1-1-1-11-11-1111-1-1-111-1-111-11-11
χ14111111111111111-1-11111111-1-111-11-1-1-1-1111111111111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111111-11-1
χ15111111111111111-1-11111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-11111-11111-1-1-1-11-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111-11
χ17222222-2-2222222200222-2-2-2-22222000000-2-2000000000000-2-2222200000022-2-20000-20000-20000000000
χ18222222-2-2222222200222-2-2-2-222-2-2000000-2-2000000000000-2222-2-2000000-2-222000020000-20000000000
χ19222222-2-2222222200222-2-2-2-2-2-222000000-2-20000000000002-2-2-222000000-2-2220000-2000020000000000
χ20222222-2-2222222200222-2-2-2-2-2-2-2-2000000-2-200000000000022-2-2-2-200000022-2-200002000020000000000
χ2122222-1222-12-12-1-122-1-1-12-12-1002222-1-122-1-122-1-1-1-1-1-100220200-1-12-1-1-1-1-100002002-100-1-1000-1-1000-100
χ2222222-1222-12-12-1-122-1-1-12-12-10022-2-2-1-122-1-1-2-211111100220200-1-1-21-1-1110000-200-2-100-1-100011000100
χ2322222-1222-12-12-1-122-1-1-12-12-100-2-222-1-122-1-122-1-1-1-1-1-100-2-20-200112-1-1-1-1-10000-200-21001100011000100
χ2422222-1222-12-12-1-122-1-1-12-12-100-2-2-2-2-1-122-1-1-2-211111100-2-20-20011-21-1-1110000200210011000-1-1000-100
χ2522222-1222-12-12-1-1-2-2-1-1-12-12-100222-211-2-2-1-1-2-211111100-2-20200-1-12-111-1-10000200-2-1001100011000-100
χ2622222-1222-12-12-1-1-2-2-1-1-12-12-10022-2211-2-2-1-122-1-1-1-1-1-100-2-20200-1-1-2111110000-2002-10011000-1-1000100
χ2722222-1222-12-12-1-1-2-2-1-1-12-12-100-2-22-211-2-2-1-1-2-211111100220-200112-111-1-10000-2002100-1-1000-1-1000100
χ2822222-1222-12-12-1-1-2-2-1-1-12-12-100-2-2-2211-2-2-1-122-1-1-1-1-1-100220-20011-2111110000200-2100-1-100011000-100
χ292222-1222-12-12-12-122-1-1-1-12-1222002222-1-1-1-1-1-122-1-1-1-1220020-1-100-12-1-1-1-1000002200-1-100-1-1-10000-1000
χ302222-1222-12-12-12-122-1-1-1-12-122200-2-222-1-1-1-111-2-21111220020-1-1001-2-1-11100000-2-200-1-100-11100001000
χ312222-1222-12-12-12-122-1-1-1-12-12-2-2002222-1-1-1-1-1-122-1-1-1-1-2-200-201100-12-1-1-1-100000-2-200110011100001000
χ322222-1222-12-12-12-122-1-1-1-12-12-2-200-2-222-1-1-1-111-2-21111-2-200-2011001-2-1-11100000220011001-1-10000-1000
χ332222-1222-12-12-12-1-2-2-1-1-1-12-1222002-2-2-211-1-111-2-21111-2-20020-1-100-1211-1-1000002-2001100-1110000-1000
χ342222-1222-12-12-12-1-2-2-1-1-1-12-122200-22-2-211-1-1-1-122-1-1-1-1-2-20020-1-1001-2111100000-22001100-1-1-100001000
χ352222-1222-12-12-12-1-2-2-1-1-1-12-12-2-2002-2-2-211-1-111-2-211112200-201100-1211-1-100000-2200-1-1001-1-100001000
χ362222-1222-12-12-12-1-2-2-1-1-1-12-12-2-200-22-2-211-1-1-1-122-1-1-1-12200-2011001-21111000002-200-1-1001110000-1000
χ372-22-2222-2-2-222-2-22002-2-222-2-200000000002-2000000002-22-20000000000002-22-2000002-22-200000000000
χ382-22-2222-2-2-222-2-22002-2-222-2-200000000002-2000000002-2-22000000000000-22-22000002-2-2200000000000
χ392-22-2222-2-2-222-2-22002-2-222-2-200000000002-200000000-222-2000000000000-22-2200000-222-200000000000
χ402-22-2222-2-2-222-2-22002-2-222-2-200000000002-200000000-22-220000000000002-22-200000-22-2200000000000
χ412-22-222-22-2-222-2-222i−2i2-2-2-2-2220000002i−2i2i−2i-22000000000000000000002i−2i002-2-22000000000000002i−2i0000
χ422-22-222-22-2-222-2-222i−2i2-2-2-2-2220000002i−2i2i−2i-22000000000000000000002i−2i00-222-200000000000000−2i2i0000
χ432-22-222-22-2-222-2-22−2i2i2-2-2-2-222000000−2i2i−2i2i-2200000000000000000000−2i2i002-2-2200000000000000−2i2i0000
χ442-22-222-22-2-222-2-22−2i2i2-2-2-2-222000000−2i2i−2i2i-2200000000000000000000−2i2i00-222-2000000000000002i−2i0000
χ4544444-2-4-44-24-24-2-200-2-2-2-42-420044000000220000000000000-400-2-2000000000000002000000000000000
χ4644444-2-4-44-24-24-2-200-2-2-2-42-4200-4-40000002200000000000004002200000000000000-2000000000000000
χ474444-24-4-4-24-24-24-200-2-2-22-42-4440000000022000000000000-40-2-200000000000000000000020000000000
χ484444-24-4-4-24-24-24-200-2-2-22-42-4-4-400000000220000000000004022000000000000000000000-20000000000
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
χ5344-4-444004-4-4-4-44400-44-40000004-40000000000000000000000004-4000000000000000000000000000000
χ5444-4-444004-4-4-4-44400-44-4000000-44000000000000000000000000-44000000000000000000000000000000
χ5544-4-44-20042-42-4-2-2002-220000004-400000000006−666−6−600000000-2200000000000000000000006−6000000
χ5644-4-44-20042-42-4-2-2002-220000004-40000000000−66−6−66600000000-220000000000000000000000−66000000
χ5744-4-44-20042-42-4-2-2002-22000000-4400000000006−666−6−6000000002-20000000000000000000000−66000000
χ5844-4-44-20042-42-4-2-2002-22000000-440000000000−66−6−666000000002-200000000000000000000006−6000000
χ594-44-44-24-4-424-2-42-200-2224-2-420000000000-2200000000004-400000000000000000000000-2200000000000
χ604-44-44-24-4-424-2-42-200-2224-2-420000000000-220000000000-44000000000000000000000002-200000000000
χ614-44-44-2-44-424-2-42-24i−4i-222-424-2000000−2i2i4i−4i2-200000000000000000000−2i2i00000000000000000000000000
χ624-44-44-2-44-424-2-42-2−4i4i-222-424-20000002i−2i−4i4i2-2000000000000000000002i−2i00000000000000000000000000
χ634-44-4-244-42-4-242-4-200-222-242-40000000000-22000000004-400000000000000000000000-220000000000000
χ644-44-4-244-42-4-242-4-200-222-242-40000000000-2200000000-44000000000000000000000002-20000000000000
χ654-44-4-24-442-4-242-4-24i−4i-2222-4-240000004i−4i−2i2i2-200000000000000000000−2i2i00000000000000000000000000
χ664-44-4-24-442-4-242-4-2−4i4i-2222-4-24000000−4i4i2i−2i2-2000000000000000000002i−2i00000000000000000000000000
χ674-44-4-2-2-4422-2-22214i−4i1-1-122-2-2000000−2i2i−2i2i-1100003-33-3000000000000i−i3i−3i000000000000000000000000
χ684-44-4-2-2-4422-2-22214i−4i1-1-122-2-2000000−2i2i−2i2i-110000-33-33000000000000i−i−3i3i000000000000000000000000
χ694-44-4-2-2-4422-2-2221−4i4i1-1-122-2-20000002i−2i2i−2i-1100003-33-3000000000000−ii−3i3i000000000000000000000000
χ704-44-4-2-2-4422-2-2221−4i4i1-1-122-2-20000002i−2i2i−2i-110000-33-33000000000000−ii3i−3i000000000000000000000000
χ714-4-444400-44-4-44-4400-4-4400004i−4i0000000000000000000000004i−4i00000000000000000000000000000000
χ724-4-444400-44-4-44-4400-4-440000−4i4i000000000000000000000000−4i4i00000000000000000000000000000000
χ734-4-44-2400242-4-2-4-20022-200004i−4i00000000006−6006−6−66000000−2i2i0000000000000000000000i6−i600000000
χ744-4-44-2400242-4-2-4-20022-200004i−4i0000000000−6600−666−6000000−2i2i0000000000000000000000−i6i600000000
χ754-4-44-2400242-4-2-4-20022-20000−4i4i00000000006−6006−6−660000002i−2i0000000000000000000000−i6i600000000
χ764-4-44-2400242-4-2-4-20022-20000−4i4i0000000000−6600−666−60000002i−2i0000000000000000000000i6−i600000000
χ778888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4800-4-84-848-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44444-4200-22-200000000000000000026−26−6−6660000000000000000000000000000000000000000
χ8088-8-8-4-400-44444-4200-22-2000000000000000000−262666−6−60000000000000000000000000000000000000000
χ818-88-8-4-48-844-4-4442002-2-2-4-44400000000002-2000000000000000000000000000000000000000000000000
χ828-8-888-400-8-4-8484-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004-444-44200-2-22000000000000000026−2600−666−60000000000000000000000000000000000000000
χ848-8-88-4-4004-444-44200-2-220000000000000000−2626006−6−660000000000000000000000000000000000000000

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