Finite Group Databasebeta

← Group #11889315

Character table — Group #11889315

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order122233446666663446661212121244481212121212121212242424242424242422244881212121212121212121212244666812121212242424242488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111-1-1-11111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-111-1-1-11-1111-111-1-1-1-111-1-111-1-11
χ411111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-111-1-1-111-1-11-11111-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-1111111111111111111-111111111-1-11111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-11-1-111-11-1-1-1-1111111-1-111-1
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-111-1-11-11-1-1-11-1-11111-1-1-1-1111-11
χ9111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111-1-1111-1-1111-1-1-1-1-1-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11-1-1111-11-1-11-1-1-111-1-111-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-111-11-111-1111-1-111-1-1-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-111-1-1-111111111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000-2002-200-2-222220000000000-20000000002-200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-200-22002222-2-20000000000-2000000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002002-200-2-2-2-22200000000002000000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000200-220022-2-2-2-2000000000020000000002-200000
χ2122222-1222-1-1-122-122-1-1-1-12-122222-1-12222-1-122-1-1-1-1-1-1200000000-1-100-1-1-1-1-122000-12-1-100-1-1000000-100
χ2222222-1222-1-1-122-122-1-1-1-12-1222-2-2-1-122-2-2-1-1-2-2111111200000000-1-1001-1-111-22000-1-2-1-10011000000100
χ2322222-1222-1-1-122-122-1-1-1-12-12-2-222-1-12222-1-122-1-1-1-1-1-1-2000000001100-1-1-1-1-1-2-20001-2110011000000100
χ2422222-1222-1-1-122-122-1-1-1-12-12-2-2-2-2-1-122-2-2-1-1-2-2111111-20000000011001-1-1112-2000121100-1-1000000-100
χ2522222-1222-1-1-122-1-2-2-1-1-1-12-12222-211-2-222-1-1-2-2111111200000000-1-100-111-1-12-2000-1-2110011000000-100
χ2622222-1222-1-1-122-1-2-2-1-1-1-12-1222-2211-2-2-2-2-1-122-1-1-1-1-1-1200000000-1-10011111-2-2000-121100-1-1000000100
χ2722222-1222-1-1-122-1-2-2-1-1-1-12-12-2-22-211-2-222-1-1-2-2111111-2000000001100-111-1-1-2200012-1-100-1-1000000100
χ2822222-1222-1-1-122-1-2-2-1-1-1-12-12-2-2-2211-2-2-2-2-1-122-1-1-1-1-1-1-200000000110011111220001-2-1-10011000000-100
χ292222-1222-1222-1-1-122-1-1-12-12-1002222-1-1-1-1-1-1-1-122-1-1-1-10222222-1-100-1-12-1-1-1-1002-1-10000-1-100-1-10000000
χ302222-1222-1222-1-1-122-1-1-12-12-1002222-1-1-1-1-1-1-1-122-1-1-1-10-2-2-2-2-2-21100112-1-1-1-100-21100001100110000000
χ312222-1222-1222-1-1-122-1-1-12-12-100-2-222-1-111-1-111-2-21111022-2-222110011-2-1-11100-2-1-100001100-1-10000000
χ322222-1222-1222-1-1-122-1-1-12-12-100-2-222-1-111-1-111-2-211110-2-222-2-2-1-100-1-1-2-1-111002110000-1-100110000000
χ332222-1222-1222-1-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-1-111-2-2111102222-2-2-1-100-1-1211-1-100-2-1-100001100110000000
χ342222-1222-1222-1-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-1-111-2-211110-2-2-2-222110011211-1-1002110000-1-100-1-10000000
χ352222-1222-1222-1-1-1-2-2-1-1-12-12-100-22-2-21111-1-1-1-122-1-1-1-1022-2-2-2-2110011-21111002-1-10000-1-100110000000
χ362222-1222-1222-1-1-1-2-2-1-1-12-12-100-22-2-21111-1-1-1-122-1-1-1-10-2-22222-1-100-1-1-2111100-21100001100-1-10000000
χ372-2-22222-2-22-2-22-222i−2i-22-222-2-200002i−2i2i−2i00-220000000002-2002i−2i00000002i−2i000002-2000000002i−2i0000000
χ382-2-22222-2-22-2-22-222i−2i-22-222-2-200002i−2i2i−2i00-22000000000-2200−2i2i00000002i−2i00000-2200000000−2i2i0000000
χ392-2-22222-2-22-2-22-22−2i2i-22-222-2-20000−2i2i−2i2i00-220000000002-200−2i2i0000000−2i2i000002-200000000−2i2i0000000
χ402-2-22222-2-22-2-22-22−2i2i-22-222-2-20000−2i2i−2i2i00-22000000000-22002i−2i0000000−2i2i00000-22000000002i−2i0000000
χ412-2-22-122-212-2-2-11-12i−2i1-112-1-2100002i−2i−ii3−31-1−i3i300−i3−i3i3i302-2002i−2i3−3003−30−ii3−3000-110000−i3i300−ii0000000
χ422-2-22-122-212-2-2-11-12i−2i1-112-1-2100002i−2i−ii3−31-1−i3i300−i3−i3i3i30-2200−2i2i−3300−330−ii3−30001-10000i3−i300i−i0000000
χ432-2-22-122-212-2-2-11-12i−2i1-112-1-2100002i−2i−ii−331-1i3−i300i3i3−i3−i302-2002i−2i−3300−330−ii−33000-110000i3−i300−ii0000000
χ442-2-22-122-212-2-2-11-12i−2i1-112-1-2100002i−2i−ii−331-1i3−i300i3i3−i3−i30-2200−2i2i3−3003−30−ii−330001-10000−i3i300i−i0000000
χ452-2-22-122-212-2-2-11-1−2i2i1-112-1-210000−2i2ii−i3−31-1i3−i300i3i3−i3−i302-200−2i2i3−3003−30i−i3−3000-110000i3−i300i−i0000000
χ462-2-22-122-212-2-2-11-1−2i2i1-112-1-210000−2i2ii−i3−31-1i3−i300i3i3−i3−i30-22002i−2i−3300−330i−i3−30001-10000−i3i300−ii0000000
χ472-2-22-122-212-2-2-11-1−2i2i1-112-1-210000−2i2ii−i−331-1−i3i300−i3−i3i3i302-200−2i2i−3300−330i−i−33000-110000−i3i300i−i0000000
χ482-2-22-122-212-2-2-11-1−2i2i1-112-1-210000−2i2ii−i−331-1−i3i300−i3−i3i3i30-22002i−2i3−3003−30i−i−330001-10000i3−i300−ii0000000
χ4944444-2-4-44-2-2-244-200-2-2-22-42-444000000002200000000-400000000-2-200000000000020000000000000000
χ5044444-2-4-44-2-2-244-200-2-2-22-42-4-4-400000000220000000040000000022000000000000-20000000000000000
χ514444-24-4-4-2444-2-2-200-2-2-2-42-42000000000022000000000004-4002200-2-2000000000000000000000000000
χ524444-24-4-4-2444-2-2-200-2-2-2-42-4200000000002200000000000-4400-2-20022000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-222112222-1-1-1-10000000000000211-1-10000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222-2-2112222-1-1-1-10000000000000-2-1-1110000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-44400-4-44-4-44400-4-4400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5844-4-44400-4-44-4-44400-4-44000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ594-44-444004-4-44-4-44004-4-400004i−4i0000000000000000000000000004i−4i00000000000000000000000000000
χ604-44-444004-4-44-4-44004-4-40000−4i4i000000000000000000000000000−4i4i00000000000000000000000000000
χ614-44-44-200422-2-4-4-200-22200004i−4i000000000000i6−i6i6−i6i6−i6000000000−2i2i0000000000000000006−6000000000
χ624-44-44-200422-2-4-4-200-22200004i−4i000000000000−i6i6−i6i6−i6i6000000000−2i2i000000000000000000−66000000000
χ634-44-44-200422-2-4-4-200-2220000−4i4i000000000000i6−i6i6−i6i6−i60000000002i−2i000000000000000000−66000000000
χ644-44-44-200422-2-4-4-200-2220000−4i4i000000000000−i6i6−i6i6−i6i60000000002i−2i0000000000000000006−6000000000
χ654-4-4444-44-44-4-44-4400-44-4-4-44400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-4-4-2224-4-24i−4i2-22-242-40000−2i2i4i−4i002-20000000000000000000000−2i2i000000000000000000000000
χ674-4-444-24-4-4-2224-4-2−4i4i2-22-242-400002i−2i−4i4i002-200000000000000000000002i−2i000000000000000000000000
χ684-4-444-2-44-4-2224-4-2002-222-4-240000000000-2200000000000000000000000000000000023−230000000000000
χ694-4-444-2-44-4-2224-4-2002-222-4-240000000000-22000000000000000000000000000000000−23230000000000000
χ704-4-44-24-4424-4-4-22-2002-22-424-20000000000-2200000000000000023−2300−2323000000000000000000000000000
χ714-4-44-24-4424-4-4-22-2002-22-424-20000000000-22000000000000000−23230023−23000000000000000000000000000
χ724-4-44-2-24-42-222-2214i−4i-11-1-2-2220000−2i2i−2i2i23−23-11−2i32i300i3i3−i3−i300000000000000i−i−330000000000000000000000
χ734-4-44-2-24-42-222-2214i−4i-11-1-2-2220000−2i2i−2i2i−2323-112i3−2i300−i3−i3i3i300000000000000i−i3−30000000000000000000000
χ744-4-44-2-24-42-222-221−4i4i-11-1-2-22200002i−2i2i−2i23−23-112i3−2i300−i3−i3i3i300000000000000−ii−330000000000000000000000
χ754-4-44-2-24-42-222-221−4i4i-11-1-2-22200002i−2i2i−2i−2323-11−2i32i300i3i3−i3−i300000000000000−ii3−30000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-400-84-44-88-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-48004-88-84-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-40044-444-4200-2-220000000000000000000032−32−32320000000000000000000000000000000000000000
χ8088-8-8-4-40044-444-4200-2-2200000000000000000000−323232−320000000000000000000000000000000000000000
χ818-88-8-4800-4-8-8844-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-444-4442002-2-20000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ838-88-8-4-400-444-4442002-2-2000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ848-8-88-4-4-884-444-44200-22-244-4-400000000002-2000000000000000000000000000000000000000000000000

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