Finite Group Databasebeta

← Group #11873166

Character table — Group #11873166

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666344666121212124812121212121224242424242424242224444466888812121212121212124444246612121212242424244461248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-1-1-1-1-111-1-111111111-1-1-1-1-1111-1-1-11-1-111-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-11-1-111111-1-111-1-1111111-1-1-1-11-1-1-1111-111-1-1-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-111-1-1-1111-1-1-1-11-111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-1-111-1-1-1111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-111-1-1-1-11-1111-1-1-1-1-111111-1-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-111-1-1111111-1-111-111-11111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11111-1-111111111-1-11-1-11-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-1-1-1-11-1-1-111111-1-111-11-11
χ13111111111111111-1-11111111-11-1-1-1-11111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-111-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-1111-1-1111111111-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111111-11-1
χ17222222-2-2222222200222-2-2-2-2000000-2-2000000000022-200-22200002200000022-2-20000-200-20000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2200-2220000-2-2000000-2-2220000-20020000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-22-2002-2-2000022000000-2-2220000200-20000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-2-22002-2-20000-2-200000022-2-2000020020000000000
χ2122222-1222-1-12-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100200222-1-1002200-12-1-1-1-100002000-1-1-10-1-10000-1000
χ2222222-1222-1-12-12-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100-200-2-2-21100-2-200-12-1-1-1-10000-200011101100001000
χ2322222-1222-1-12-12-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100200222-1-100-2-2001-2-1-1110000-2000-1-1-101100001000
χ2422222-1222-1-12-12-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100-200-2-2-2110022001-2-1-111000020001110-1-10000-1000
χ2522222-1222-1-12-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111100200-2-22-1-100-2-200-1211-1-100002000-1110110000-1000
χ2622222-1222-1-12-12-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111100-20022-211002200-1211-1-10000-20001-1-10-1-100001000
χ2722222-1222-1-12-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-100200-2-22-1-10022001-211110000-2000-1110-1-100001000
χ2822222-1222-1-12-12-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-100-20022-21100-2-2001-21111000020001-1-10110000-1000
χ292222-1222-122-12-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-122022000002200-1-12-1-1-1-1-1000002-1-1000-100-1-1000-100
χ302222-1222-122-12-1-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1-2-20-2-200000-2-200112-1-1-1-1-100000-21100010011000100
χ312222-1222-122-12-1-122-1-1-1-122-1-2-2-1-122-1-1-2-21111112202200000-2-200-1-1-21-1-11100000-2-1-1000-10011000100
χ322222-1222-122-12-1-122-1-1-1-122-1-2-2-1-122-1-1-2-2111111-2-20-2-200000220011-21-1-11100000211000100-1-1000-100
χ332222-1222-122-12-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111220-2-2000002200112-111-1-100000-2-1-1000100-1-1000100
χ342222-1222-122-12-1-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111-2-202200000-2-200-1-12-111-1-100000211000-10011000-100
χ352222-1222-122-12-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1220-2-200000-2-20011-211111000002-1-100010011000-100
χ362222-1222-122-12-1-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1-2-2022000002200-1-1-21111100000-211000-100-1-1000100
χ372-2-22222-22-22-2-2-222i−2i2-2-2-22-22002i−2i2i−2i-22000000000000000000000000002i−2i002i−2i2i−2i0000000000002-20000
χ382-2-22222-22-22-2-2-222i−2i2-2-2-22-22002i−2i2i−2i-22000000000000000000000000002i−2i00−2i2i−2i2i000000000000-220000
χ392-2-22222-22-22-2-2-22−2i2i2-2-2-22-2200−2i2i−2i2i-2200000000000000000000000000−2i2i002i−2i2i−2i000000000000-220000
χ402-2-22222-22-22-2-2-22−2i2i2-2-2-22-2200−2i2i−2i2i-2200000000000000000000000000−2i2i00−2i2i−2i2i0000000000002-20000
χ412-2-2222-222-22-2-2-22002-2-22-22-20000002-2000000002-20002i−2i0000000000000002i−2i−2i2i002-202i−2i00000000000
χ422-2-2222-222-22-2-2-22002-2-22-22-20000002-2000000002-2000−2i2i000000000000000−2i2i2i−2i002-20−2i2i00000000000
χ432-2-2222-222-22-2-2-22002-2-22-22-20000002-200000000-220002i−2i000000000000000−2i2i2i−2i00-2202i−2i00000000000
χ442-2-2222-222-22-2-2-22002-2-22-22-20000002-200000000-22000−2i2i0000000000000002i−2i−2i2i00-220−2i2i00000000000
χ4544444-2-4-44-2-24-24-200-2-2-2-422-400000022000000000040000-4-2-20000000000000000000020000000000000
χ4644444-2-4-44-2-24-24-200-2-2-2-422-4000000220000000000-4000042200000000000000000000-20000000000000
χ474444-24-4-4-244-24-2-200-2-2-22-4-4200000022000000000004-4000000000-2-20000000000000000020000000000
χ484444-24-4-4-244-24-2-200-2-2-22-4-420000002200000000000-440000000002200000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44400-44-4-4-44400-44-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ5444-4-44400-44-4-4-44400-44-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ5544-4-44-200-4-22-424-2002-220000000000006−60066−6−600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ5644-4-44-200-4-22-424-2002-220000000000006−60066−6−6000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ5744-4-44-200-4-22-424-2002-22000000000000−6600−6−66600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ5844-4-44-200-4-22-424-2002-22000000000000−6600−6−666000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ594-44-44400-4-4-444-4400-4-44000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ604-44-44400-4-4-444-4400-4-440000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ614-44-4-24002-4-4-242-20022-2000000000000006−66−66−60000000000−2i22i200−2i32i300000000000000000000i2−i2000000
χ624-44-4-24002-4-4-242-20022-2000000000000006−66−66−600000000002i2−2i2002i3−2i300000000000000000000−i2i2000000
χ634-44-4-24002-4-4-242-20022-200000000000000−66−66−660000000000−2i22i2002i3−2i300000000000000000000i2−i2000000
χ644-44-4-24002-4-4-242-20022-200000000000000−66−66−6600000000002i2−2i200−2i32i300000000000000000000−i2i2000000
χ654-4-444-24-442-2-42-4-24i−4i-222-4-224004i−4i−2i2i2-200000000000000000000000000−2i2i000000000000000000000000
χ664-4-444-24-442-2-42-4-2−4i4i-222-4-22400−4i4i2i−2i2-2000000000000000000000000002i−2i000000000000000000000000
χ674-4-444-2-4442-2-42-4-200-22242-2-4000000-2200000000000004i−4i000000000000000000000000−2i2i00000000000
χ684-4-444-2-4442-2-42-4-200-22242-2-4000000-220000000000000−4i4i0000000000000000000000002i−2i00000000000
χ694-4-44-244-4-2-442-42-24i−4i-22224-4-200−2i2i4i−4i2-200000000000000000000000000−2i2i000000000000000000000000
χ704-4-44-244-4-2-442-42-2−4i4i-22224-4-2002i−2i−4i4i2-2000000000000000000000000002i−2i000000000000000000000000
χ714-4-44-24-44-2-442-42-200-222-2-442000000-22000000004-400000000000000000000000000-2200000000000000
χ724-4-44-24-44-2-442-42-200-222-2-442000000-2200000000-44000000000000000000000000002-200000000000000
χ734-4-44-2-24-4-22-222214i−4i1-1-12-22-200−2i2i−2i2i-1100003-3-33000000000000000000i−i3i−3i0000000000000000000000
χ744-4-44-2-24-4-22-222214i−4i1-1-12-22-200−2i2i−2i2i-110000-333-3000000000000000000i−i−3i3i0000000000000000000000
χ754-4-44-2-24-4-22-22221−4i4i1-1-12-22-2002i−2i2i−2i-1100003-3-33000000000000000000−ii−3i3i0000000000000000000000
χ764-4-44-2-24-4-22-22221−4i4i1-1-12-22-2002i−2i2i−2i-110000-333-3000000000000000000−ii3i−3i0000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-8-480048-84-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-4444-4200-22-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4444-4200-22-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-88-400-8448-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44200-2-220000000000000026−26−66−6600000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-44200-2-2200000000000000−26266−66−600000000000000000000000000000000000000000000
χ848-8-88-4-4-88-44-44442002-2-2-44-440000002-20000000000000000000000000000000000000000000000000000

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