Finite Group Databasebeta

← Group #11872372

Character table — Group #11872372

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order1222334466666634466612121212281212121212122424242424242424222444446688881212666612124444246612121212242424244461248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-11-1-1-1-111-1-111111111-1-1-1-11-1111-1-1-1-1-111-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-11-11-11111-1-111-1-1111111-1-1-1-1-11-1-1-111111-1-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-111-1-1-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-11-1-1-1-11111-11-11
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-11111-1-111-1-1111111-1-1-1-11-1
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1111-1
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111111111-1-1-1-1-1-11-1-1-11-11111-1-1111-1-11
χ13111111111111111-1-11111111-11-1-1-1-11111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-111-1-1111-11-1
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-11-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-111-1
χ17222222-2-2222222200222-2-2-2-2000000-2-2000000000022-2-200220000-2-2000000-2-22200002-2000000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-200000000002-2-22002200002200000022-2-20000-2-2000000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-20000000000-222-200-2-20000-2-200000022-2-2000022000000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-20000000000-2-22200-2-2000022000000-2-2220000-22000000000000
χ2122222-122-1-12-122-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-122020200002200-1-12-1-1-1-1-1000020-1-1-100000-1-100-1000
χ2222222-122-1-12-122-122-1-1-1-122-122-1-122-1-122-1-1-1-1-1-1-2-20-20-20000-2-200112-1-1-1-1-10000-201110000011001000
χ2322222-122-1-12-122-122-1-1-1-122-1-2-2-1-122-1-1-2-21111112202020000-2-200-1-1-2111-1-10000-20-1-1-10000011001000
χ2422222-122-1-12-122-122-1-1-1-122-1-2-2-1-122-1-1-2-2111111-2-20-20-20000220011-2111-1-100002011100000-1-100-1000
χ2522222-122-1-12-122-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111220-20-200002200112-1-1-1110000-20-1-1100000-1-1001000
χ2622222-122-1-12-122-1-2-2-1-1-1-122-12-211-2-2-1-1-2-2111111-2-202020000-2-200-1-12-1-1-11100002011-1000001100-1000
χ2722222-122-1-12-122-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1220-20-20000-2-20011-211111000020-1-11000001100-1000
χ2822222-122-1-12-122-1-2-2-1-1-1-122-1-2211-2-2-1-122-1-1-1-1-1-1-2-2020200002200-1-1-2111110000-2011-100000-1-1001000
χ292222-122222-12-1-1-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100202022-1-1002200-12-1-1-1-1000002000-1-1-1-1-100000-100
χ302222-122222-12-1-1-122-1-1-12-1-122222-1-1-1-1-1-122-1-1-1-100-20-20-2-21100-2-200-12-1-1-1-100000-20001111100000100
χ312222-122222-12-1-1-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100202022-1-100-2-2001-211-1-100000-2000-1-1-11100000100
χ322222-122222-12-1-1-122-1-1-12-1-12-2-222-1-1-1-111-2-2111100-20-20-2-2110022001-211-1-1000002000111-1-100000-100
χ332222-122222-12-1-1-1-2-2-1-1-12-1-122-2-2-211-1-111-2-21111002020-2-2-1-100-2-200-12-1-111000002000-1111100000-100
χ342222-122222-12-1-1-1-2-2-1-1-12-1-122-2-2-211-1-111-2-2111100-20-202211002200-12-1-11100000-20001-1-1-1-100000100
χ352222-122222-12-1-1-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-1002020-2-2-1-10022001-2111100000-2000-111-1-100000100
χ362222-122222-12-1-1-1-2-2-1-1-12-1-12-22-2-211-1-1-1-122-1-1-1-100-20-20221100-2-2001-211110000020001-1-11100000-100
χ372-22-2222-22-22-2-2-2200-22-2-22-22000000-22000000002-200002i−2i000000000000002i−2i2i−2i002-2002i−2i0000000000
χ382-22-2222-22-22-2-2-2200-22-2-22-22000000-22000000002-20000−2i2i00000000000000−2i2i−2i2i002-200−2i2i0000000000
χ392-22-2222-22-22-2-2-2200-22-2-22-22000000-2200000000-2200002i−2i00000000000000−2i2i−2i2i00-22002i−2i0000000000
χ402-22-2222-22-22-2-2-2200-22-2-22-22000000-2200000000-220000−2i2i000000000000002i−2i2i−2i00-2200−2i2i0000000000
χ412-22-222-222-22-2-2-222i−2i-22-22-22-2002i−2i2i−2i2-200000000000000000000000000002i−2i2i−2i−2i2i0000000000002-20000
χ422-22-222-222-22-2-2-222i−2i-22-22-22-2002i−2i2i−2i2-200000000000000000000000000002i−2i−2i2i2i−2i000000000000-220000
χ432-22-222-222-22-2-2-22−2i2i-22-22-22-200−2i2i−2i2i2-20000000000000000000000000000−2i2i2i−2i−2i2i000000000000-220000
χ442-22-222-222-22-2-2-22−2i2i-22-22-22-200−2i2i−2i2i2-20000000000000000000000000000−2i2i−2i2i2i−2i0000000000002-20000
χ4544444-2-4-4-2-24-244-200-2-2-22-4-42000000220000000000040-4000000002200000000000000-20000000000000
χ4644444-2-4-4-2-24-244-200-2-2-22-4-420000002200000000000-40400000000-2-20000000000000020000000000000
χ474444-24-4-444-24-2-2-200-2-2-2-422-400000022000000000040-4000-2-20000000000000000000002000000000000
χ484444-24-4-444-24-2-2-200-2-2-2-422-4000000220000000000-40400022000000000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-1000000000000000022-1-1110000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-211-1-10000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44400-44-4-44-44004-4-400000000000000000000000000000000−2i22i200000000000000000000−2i22i200000000
χ5444-4-44400-44-4-44-44004-4-4000000000000000000000000000000002i2−2i2000000000000000000002i2−2i200000000
χ5544-4-4-2400-442-4-22-200-2220000000000006−60066−6−600000000−2i32i300−2i22i200000000000000000000i2−i200000000
χ5644-4-4-2400-442-4-22-200-2220000000000006−60066−6−6000000002i3−2i3002i2−2i200000000000000000000−i2i200000000
χ5744-4-4-2400-442-4-22-200-222000000000000−6600−6−66600000000−2i32i3002i2−2i200000000000000000000−i2i200000000
χ5844-4-4-2400-442-4-22-200-222000000000000−6600−6−666000000002i3−2i300−2i22i200000000000000000000i2−i200000000
χ594-44-44-24-4-2242-4-4-2002-2224-4-20000002-2000000004-400000000000000000000000000-2200000000000000
χ604-44-44-24-4-2242-4-4-2002-2224-4-20000002-200000000-44000000000000000000000000002-200000000000000
χ614-44-44-2-44-2242-4-4-24i−4i2-22-2-44200−2i2i4i−4i-220000000000000000000000000000−2i2i0000000000000000000000
χ624-44-44-2-44-2242-4-4-2−4i4i2-22-2-442002i−2i−4i4i-2200000000000000000000000000002i−2i0000000000000000000000
χ634-44-4-244-44-4-2-422-2002-22-4-2240000002-2000000000000004i−4i000000000000000000000000−2i2i0000000000
χ644-44-4-244-44-4-2-422-2002-22-4-2240000002-200000000000000−4i4i0000000000000000000000002i−2i0000000000
χ654-44-4-24-444-4-2-422-24i−4i2-2242-2-4004i−4i−2i2i-220000000000000000000000000000−2i2i0000000000000000000000
χ664-44-4-24-444-4-2-422-2−4i4i2-2242-2-400−4i4i2i−2i-2200000000000000000000000000002i−2i0000000000000000000000
χ674-44-4-2-2-44-22-222214i−4i-11-1-22-2200−2i2i−2i2i1-100003i−3i3i−3i0000000000000000003-3i−i0000000000000000000000
χ684-44-4-2-2-44-22-222214i−4i-11-1-22-2200−2i2i−2i2i1-10000−3i3i−3i3i000000000000000000-33i−i0000000000000000000000
χ694-44-4-2-2-44-22-22221−4i4i-11-1-22-22002i−2i2i−2i1-100003i−3i3i−3i000000000000000000-33−ii0000000000000000000000
χ704-44-4-2-2-44-22-22221−4i4i-11-1-22-22002i−2i2i−2i1-10000−3i3i−3i3i0000000000000000003-3−ii0000000000000000000000
χ714-4-444400-4-4-44-44400-4-4400000000000000000000000000000022−2200000000000000000000000022−22000000
χ724-4-444400-4-4-44-44400-4-44000000000000000000000000000000−2222000000000000000000000000−2222000000
χ734-4-444-20022-4-2-44-20022-200000000000000i6−i6i6−i6−i6i6000000000022−2200−2i32i300000000000000000000−22000000
χ744-4-444-20022-4-2-44-20022-200000000000000i6−i6i6−i6−i6i60000000000−2222002i3−2i3000000000000000000002−2000000
χ754-4-444-20022-4-2-44-20022-200000000000000−i6i6−i6i6i6−i6000000000022−22002i3−2i300000000000000000000−22000000
χ764-4-444-20022-4-2-44-20022-200000000000000−i6i6−i6i6i6−i60000000000−222200−2i32i3000000000000000000002−2000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-4004-4-848-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-444-442002-2-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-4004-444-442002-2-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-8-4-48-8-44-4444200-22-24-44-4000000-220000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8-8484-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-44-4200-2-22000000000000002i6−2i6−i6i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-400444-44-4200-2-2200000000000000−2i62i6i6−i6−i6i600000000000000000000000000000000000000000000

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