Finite Group Databasebeta

← Group #11888681

Character table — Group #11888681

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order12223344666666366612121212442481212121224242424242424242222488121266661212124446666812242424244444881212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111-1-11-11111-111-1-1-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-11-1111-1-1-11-1-1-1-11111-1-111-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1111-111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-11-11111-11-1-1-1-111-1-1-1-1-1-111
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-1-11111-11-1-1
χ7111111111111111111111111-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11-1-11-111-1-1-1-111-1-1-1111
χ91111111111111111111111-1-1111111111111111-1-1-11111-1-1111111111-11-1-1-1-11-1-111-1-1-1-1-1-1-111-1
χ101111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-11-1111111-1-1-1-1-1-111-11-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1-1111-111111111-1-1-1-11-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111-1-1-11111-1-1-1-111111-11-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-1-11-1111111-1-1-1-111-11
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-1-111-111-11-1-111-1-111-1-11-1-11
χ161111111111111111111111-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2002-2002200000000002-2000-20000-2200000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-200-2200220000000000-2-2000200002-200000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002002-200-2-2000000000022000-200002-200000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000200-2200-2-20000000000-2200020000-2200000000
χ2122222-1222-12-1-12-1-1-1-12-1-1222222-1-1-1-1-1-122-1-1-1-12220000-1-12-1-1-12-1-10020-1-1-120-1-100000000-1000
χ2222222-1222-12-1-12-1-1-1-12-1-12222-2-211-1-111-2-211112-2-20000-1-12-1-1-1-2110020-111-201100000000-1000
χ2322222-1222-12-1-12-1-1-1-12-1-1222-22-2-1-1-1-111-2-211112220000-1-1-21112-1-100-20-1-1-1-2011000000001000
χ2422222-1222-12-1-12-1-1-1-12-1-1222-2-2211-1-1-1-122-1-1-1-12-2-20000-1-1-2111-21100-20-11120-1-1000000001000
χ2522222-1222-12-1-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-122-1-1-1-1-2-2-20000112-1-1-12-1-100-20111-2011000000001000
χ2622222-1222-12-1-12-1-1-1-12-1-12-2-22-2-211-1-111-2-21111-2220000112-1-1-1-21100-201-1-120-1-1000000001000
χ2722222-1222-12-1-12-1-1-1-12-1-12-2-2-22-2-1-1-1-111-2-21111-2-2-2000011-21112-1-1002011120-1-100000000-1000
χ2822222-1222-12-1-12-1-1-1-12-1-12-2-2-2-2211-1-1-1-122-1-1-1-1-222000011-2111-21100201-1-1-201100000000-1000
χ292222-1222-12-122-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1000222200-12-1-1-1-1-1220-10000-100-1-10000000-1-10
χ302222-1222-12-122-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1000-2-2-2-200-12-1-1-1-1-1-2-2010000100110000000110
χ312222-1222-12-122-1-1-1-1-1-122-1002-2-2-2-2-1-1-2-211111100022-2-200-12-1-11112-20-10000-100110000000-110
χ322222-1222-12-122-1-1-1-1-1-122-1002-2-2-2-2-1-1-2-2111111000-2-22200-12-1-1111-22010000100-1-100000001-10
χ332222-1222-12-122-1-1-1-1-1-122-100-22-222-1-1-2-211111100022-2-2001-211-1-1-1-220-10000-1001100000001-10
χ342222-1222-12-122-1-1-1-1-1-122-100-22-222-1-1-2-2111111000-2-222001-211-1-1-12-2010000100-1-10000000-110
χ352222-1222-12-122-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-10002222001-211111-2-20-10000-100-1-10000000110
χ362222-1222-12-122-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-1000-2-2-2-2001-21111122010000100110000000-1-10
χ372-22-2222-2-2-222-2-22-2-222-22-200000002-20000000002-2002i−2i000000000000002-200002i−2i002i−2i000000
χ382-22-2222-2-2-222-2-22-2-222-22-200000002-20000000002-200−2i2i000000000000002-20000−2i2i00−2i2i000000
χ392-22-2222-2-2-222-2-22-2-222-22-200000002-2000000000-22002i−2i00000000000000-2200002i−2i00−2i2i000000
χ402-22-2222-2-2-222-2-22-2-222-22-200000002-2000000000-2200−2i2i00000000000000-220000−2i2i002i−2i000000
χ4144444-2-4-44-24-2-24-2-2-2-2-422-444000002200000000-4000000-2-2000000000002000000000000000000
χ4244444-2-4-44-24-2-24-2-2-2-2-422-4-4-400000220000000040000002200000000000-2000000000000000000
χ434444-24-4-4-24-244-2-2-2-2-22-4-42000000022000000000004-400000000000000-20000200000000000000
χ444444-24-4-4-24-244-2-2-2-2-22-4-4200000002200000000000-440000000000000020000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-211-21100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-422112222-1-1-1-1000000000-2-2112-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-4-2-2112222-1-1-1-100000000022-1-1-21100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-2111100000000022-1-12-1-100000000000000000000000
χ4944-4-44400-44-4-4-4444-4-400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ5044-4-44400-44-4-4-4444-4-40000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-44-200-4-2-4224-2-22200004i−4i00000006−60066−6−60000000−2i2i0000000000000000i6−i6000000000000
χ5244-4-44-200-4-2-4224-2-22200004i−4i0000000−6600−6−6660000000−2i2i0000000000000000−i6i6000000000000
χ5344-4-44-200-4-2-4224-2-2220000−4i4i00000006−60066−6−600000002i−2i0000000000000000−i6i6000000000000
χ5444-4-44-200-4-2-4224-2-2220000−4i4i0000000−6600−6−66600000002i−2i0000000000000000i6−i6000000000000
χ554-44-444-44-4-444-4-44-4-44-44-440000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-424-22-4-222-242-2-40000000-220000000004-4000000000000000000-220000000000000000
χ574-44-44-24-4-424-22-4-222-242-2-40000000-22000000000-440000000000000000002-20000000000000000
χ584-44-44-2-44-424-22-4-222-2-4-22400000−2i32i32-20000000000000000000000−2i32i300000000000000000000000
χ594-44-44-2-44-424-22-4-222-2-4-224000002i3−2i32-200000000000000000000002i3−2i300000000000000000000000
χ604-44-4-244-42-4-24-42-222-2-2-4420000000-2200000000000004i−4i00000000000000000000−2i2i0000000000
χ614-44-4-244-42-4-24-42-222-2-2-4420000000-220000000000000−4i4i000000000000000000002i−2i0000000000
χ624-44-4-24-442-4-24-42-222-224-4-200000002-200−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000
χ634-44-4-24-442-4-24-42-222-224-4-200000002-2002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000
χ644-44-4-2-2-4422-2-2221-1-112-22-200000−2i32i3-1100−2i32i3i3−i3i3−i3000000000003-30i3−i300000000000000000000000
χ654-44-4-2-2-4422-2-2221-1-112-22-200000−2i32i3-11002i3−2i3−i3i3−i3i300000000000-330i3−i300000000000000000000000
χ664-44-4-2-2-4422-2-2221-1-112-22-2000002i3−2i3-1100−2i32i3i3−i3i3−i300000000000-330−i3i300000000000000000000000
χ674-44-4-2-2-4422-2-2221-1-112-22-2000002i3−2i3-11002i3−2i3−i3i3−i3i3000000000003-30−i3i300000000000000000000000
χ684-4-4444004-4-4-44-44-44-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-4444004-4-4-44-44-44-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-8-4800484-8-8-4-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-4444-422-2-2000000000000026−2600−6−666000000000000000000000000000000000000000
χ7388-8-8-4-4004-4444-422-2-20000000000000−26260066−6−6000000000000000000000000000000000000000
χ748-88-8-4-48-844-4-4442-2-22-44-4400000002-200000000000000000000000000000000000000000000000
χ758-8-888-40084-84-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ768-8-88-4800-4-84-884-44-44000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-4444-442-22-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ788-8-88-4-400-4444-442-22-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000

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