Finite Group Databasebeta

← Group #11884490

Character table — Group #11884490

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order1222334466666636661212121244248121212122424242424242424222448812126666121212224666812122424242424448866124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-11-111-1-1-111-1-1-1-11111-1-11-11-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111-1111
χ5111111111111111111111111-11-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-11-1111-111-1-1-1-111-1-1-1-1-11-11
χ6111111111111111111111111-11-11111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1111-1-1-1-1-111-1-111111-1-1-1
χ7111111111111111111111111-1-11-1-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-1
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-11-1-111-1-1-1-111-1-111-11
χ91111111111111111111111-1-1111111111111111-1-1-11111-1-1111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1
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
χ111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1-1-11111111-1-1-1-1-1-1111-1-11
χ121111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-1111-1-111111111-1-1-11-1-1
χ131111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1-111111-1-1-1-11111-111-1
χ141111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1-11-1-1111111-1-1-1-11-111
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-111-1-1-1-111
χ161111111111111111111111-1-1-1-11-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-111-1-111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-2002-200220000000000-20002-20000-2200000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-200-2200220000000000-2000-2200002-200000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-2000000002002-200-2-2000000000020002-200002-200000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000200-2200-2-200000000002000-220000-2200000000
χ2122222-1222-1-1-122-1-1-1-1-12-120022222-1-122-1-1-1-1-1-10002222002-1-1-1-1-1-12200000-1-100-1-1000000-1-100
χ2222222-1222-1-1-122-1-1-1-1-12-120022222-1-122-1-1-1-1-1-1000-2-2-2-2002-1-1-1-1-1-1-2-2000001100110000001100
χ2322222-1222-1-1-122-1-1-1-1-12-12002-2-2-2-2-1-1-2-211111100022-2-2002-1-1-11112-200000-1-10011000000-1100
χ2422222-1222-1-1-122-1-1-1-1-12-12002-2-2-2-2-1-1-2-2111111000-2-222002-1-1-1111-22000001100-1-10000001-100
χ2522222-1222-1-1-122-1-1-1-1-12-1200-22-222-1-1-2-211111100022-2-200-2111-1-1-1-2200000-1-100110000001-100
χ2622222-1222-1-1-122-1-1-1-1-12-1200-22-222-1-1-2-2111111000-2-22200-2111-1-1-12-2000001100-1-1000000-1100
χ2722222-1222-1-1-122-1-1-1-1-12-1200-2-22-2-2-1-122-1-1-1-1-1-1000222200-2111111-2-200000-1-100-1-10000001100
χ2822222-1222-1-1-122-1-1-1-1-12-1200-2-22-2-2-1-122-1-1-1-1-1-1000-2-2-2-200-21111112200000110011000000-1-100
χ292222-1222-1222-1-1-1-1-1-12-12-122222-1-1-1-1-1-122-1-1-1-12220000-1-1-12-1-12-1-1002-1-1-1200-1-10000000000-10
χ302222-1222-1222-1-1-1-1-1-12-12-1222-2-211-1-111-2-211112-2-20000-1-1-12-1-1-211002-111-200110000000000-10
χ312222-1222-1222-1-1-1-1-1-12-12-122-22-2-1-1-1-111-2-211112220000-1-11-2112-1-100-2-1-1-1-20011000000000010
χ322222-1222-1222-1-1-1-1-1-12-12-122-2-2211-1-1-1-122-1-1-1-12-2-20000-1-11-211-21100-2-111200-1-1000000000010
χ332222-1222-1222-1-1-1-1-1-12-12-1-2-2222-1-1-1-1-1-122-1-1-1-1-2-2-2000011-12-1-12-1-100-2111-20011000000000010
χ342222-1222-1222-1-1-1-1-1-12-12-1-2-22-2-211-1-111-2-21111-222000011-12-1-1-21100-21-1-1200-1-1000000000010
χ352222-1222-1222-1-1-1-1-1-12-12-1-2-2-22-2-1-1-1-111-2-21111-2-2-20000111-2112-1-1002111200-1-10000000000-10
χ362222-1222-1222-1-1-1-1-1-12-12-1-2-2-2-2211-1-1-1-122-1-1-1-1-2220000111-211-2110021-1-1-200110000000000-10
χ372-2-2222-22-22-2-22-22-2-22-2-22200000002-20000000002-2002-200000000000002-2000002-2002-2000000
χ382-2-2222-22-22-2-22-22-2-22-2-22200000002-20000000002-200-2200000000000002-200000-2200-22000000
χ392-2-2222-22-22-2-22-22-2-22-2-22200000002-2000000000-22002-20000000000000-22000002-200-22000000
χ402-2-2222-22-22-2-22-22-2-22-2-22200000002-2000000000-2200-220000000000000-2200000-22002-2000000
χ4144444-2-4-44-2-2-244-2-2-2-22-42-4000000022000000000004-4000000000000000000-2200000000000000
χ4244444-2-4-44-2-2-244-2-2-2-22-42-400000002200000000000-440000000000000000002-200000000000000
χ434444-24-4-4-2444-2-2-2-2-2-2-42-4244000002200000000-4000000-2-2000000000020000000000000000000
χ444444-24-4-4-2444-2-2-2-2-2-2-42-42-4-40000022000000004000000220000000000-20000000000000000000
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
χ4944-4-444004-44-4-4-444-4-400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ5044-4-444004-44-4-4-444-4-40000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-4-2400-2-44-422-2-22200004i−4i00000006−60066−6−60000000−2i2i0000000000000000i6−i6000000000000
χ5244-4-4-2400-2-44-422-2-22200004i−4i0000000−6600−6−6660000000−2i2i0000000000000000−i6i6000000000000
χ5344-4-4-2400-2-44-422-2-2220000−4i4i00000006−60066−6−600000002i−2i0000000000000000−i6i6000000000000
χ5444-4-4-2400-2-44-422-2-2220000−4i4i0000000−6600−6−66600000002i−2i0000000000000000i6−i6000000000000
χ554-44-44400-4-4-44-444-44-400000000000000000000000000000000000000000000000000000022−220000
χ564-44-44400-4-4-44-444-44-4000000000000000000000000000000000000000000000000000000−22220000
χ574-4-44444-4-44-4-44-44-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ584-4-444-24-4-4-2224-4-222-2-242-400000002-200−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000
χ594-4-444-24-4-4-2224-4-222-2-242-400000002-2002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000
χ604-4-444-2-44-4-2224-4-222-22-4-240000000-2200000000000004-400000000000000000000-220000000000
χ614-4-444-2-44-4-2224-4-222-22-4-240000000-220000000000000-44000000000000000000002-20000000000
χ624-4-44-244-424-4-4-22-222-24-2-4200000−2i32i32-20000000000000000000000−2i32i300000000000000000000000
χ634-4-44-244-424-4-4-22-222-24-2-42000002i3−2i32-200000000000000000000002i3−2i300000000000000000000000
χ644-4-44-24-4424-4-4-22-222-2-424-20000000-220000000004-400000000000000000-2200000000000000000
χ654-4-44-24-4424-4-4-22-222-2-424-20000000-22000000000-44000000000000000002-200000000000000000
χ664-4-44-2-24-42-222-221-1-11-2-22200000−2i32i3-1100−2i32i3i3−i3i3−i3000000000003-30i3−i300000000000000000000000
χ674-4-44-2-24-42-222-221-1-11-2-22200000−2i32i3-11002i3−2i3−i3i3−i3i300000000000-330i3−i300000000000000000000000
χ684-4-44-2-24-42-222-221-1-11-2-222000002i3−2i3-1100−2i32i3i3−i3i3−i300000000000-330−i3i300000000000000000000000
χ694-4-44-2-24-42-222-221-1-11-2-222000002i3−2i3-11002i3−2i3−i3i3−i3i3000000000003-30−i3i300000000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-40084-44-8-8-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-44-444422-2-2000000000000026−2600−6−666000000000000000000000000000000000000000
χ7388-8-8-4-400-44-444422-2-20000000000000−26260066−6−6000000000000000000000000000000000000000
χ748-88-88-400-844-4-88-44-44000000000000000000000000000000000000000000000000000000000000
χ758-88-8-48004-8-884-4-44-44000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400444-44-42-22-200000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000
χ778-88-8-4-400444-44-42-22-2000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000
χ788-8-88-4-4-884-444-442-2-2244-4-400000002-200000000000000000000000000000000000000000000000

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