Finite Group Databasebeta

← Group #11878620

Character table — Group #11878620

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444488888888888888888121212121212121212121212161616161616242424242424242424242424242436364848727272
order1222334466666636661212121244812121212121224242424242424242244668888121212121212121222446661212122424242424612448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-11111-1-1-1-1111111-1-111-1-1-111111-1-1-1-1-11-1-1-1
χ3111111111111111111111111111111111111111-11-11-1-1-1-1111111111111-1-1111-1-1-1-1-111-1-11-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-111-1-11-11-11-1-1111-1-1-1-1111-1-11-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11-111-1-1-111-1-111111-1-111-1-1-1-11-11
χ711111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-111-1-11-1-111-1-1-1-1-111-1-1-1-1111-11
χ811111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-11-11-111-1-1-1111111-11-11-1
χ91111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-111-11-111111-1-1-1-1-1-111-111-1-1
χ101111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-1-1111-1-11-1-1-11-1-1-1-111-1-111-111
χ111111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-1-111-111-1111-11111-1-1-1-1-1-1-111
χ121111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1111-11-1-1-1-1-1111111111-11-1-1
χ131111111111111111111111-1-11-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1-1-11
χ141111111111111111111111-1-11-1-1-1-111111111111-11-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-11-111-1
χ151111111111111111111111-1-11-1-1-1-11111111111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1111-1
χ161111111111111111111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-11
χ17222222-2-22222222222-2-2-2-20000000-2-20000000022-2-2220000-2-20000000000200-2000000-2200000
χ18222222-2-22222222222-2-2-2-20000000-2-2000000002-2-22220000220000000000-200-20000002-200000
χ19222222-2-22222222222-2-2-2-20000000-2-200000000-222-2-2-20000-2-2000000000020020000002-200000
χ20222222-2-22222222222-2-2-2-20000000-2-200000000-2-222-2-20000220000000000-2002000000-2200000
χ2122222-122-1-122-12-1-1-1-12-12-1222-1-122-1-122-1-1-1-1-1-10202000022-1-1-12-1-1-1-12200-1-1-100000-1-100-10000
χ2222222-122-1-122-12-1-1-1-12-12-1222-1-122-1-122-1-1-1-1-1-10-20-20000-2-211-12-1-1-1-1-2-20011100000110010000
χ2322222-122-1-122-12-1-1-1-12-12-12-2-21122-1-1-2-211111102020000-2-2-1-1-1-2-1-1112-200-111000001100-10000
χ2422222-122-1-122-12-1-1-1-12-12-12-2-21122-1-1-2-21111110-20-200002211-1-2-1-111-22001-1-100000-1-10010000
χ2522222-122-1-122-12-1-1-1-12-12-1-22-2-1-1-2-2-1-1-2-211111102020000-2-2-1-11211-1-1-2200-1-1-100000110010000
χ2622222-122-1-122-12-1-1-1-12-12-1-22-2-1-1-2-2-1-1-2-21111110-20-2000022111211-1-12-20011100000-1-100-10000
χ2722222-122-1-122-12-1-1-1-12-12-1-2-2211-2-2-1-122-1-1-1-1-1-10202000022-1-11-21111-2-200-11100000-1-10010000
χ2822222-122-1-122-12-1-1-1-12-12-1-2-2211-2-2-1-122-1-1-1-1-1-10-20-20000-2-2111-2111122001-1-1000001100-10000
χ292222-122222-1-12-1-1-1-1-1-12-1222222-1-1-1-1-1-122-1-1-1-12020-1-12200002-1-1-1-1-10022000-1-1-1-1-100000-1000
χ302222-122222-1-12-1-1-1-1-1-12-1222222-1-1-1-1-1-122-1-1-1-1-20-2011-2-200002-1-1-1-1-100-2-200011111000001000
χ312222-122222-1-12-1-1-1-1-1-12-122-2-2-2-2-1-1-1-111-2-211112020-1-1-2-2000021-1-111002-2000-1-1-111000001000
χ322222-122222-1-12-1-1-1-1-1-12-122-2-2-2-2-1-1-1-111-2-21111-20-201122000021-1-11100-22000111-1-100000-1000
χ332222-122222-1-12-1-1-1-1-1-12-12-22-22211-1-111-2-211112020-1-1-2-20000-2-111-1-100-22000-1111100000-1000
χ342222-122222-1-12-1-1-1-1-1-12-12-22-22211-1-111-2-21111-20-2011220000-2-111-1-1002-20001-1-1-1-1000001000
χ352222-122222-1-12-1-1-1-1-1-12-12-2-22-2-211-1-1-1-122-1-1-1-12020-1-1220000-21111100-2-2000-111-1-1000001000
χ362222-122222-1-12-1-1-1-1-1-12-12-2-22-2-211-1-1-1-122-1-1-1-1-20-2011-2-20000-21111100220001-1-11100000-1000
χ3744444-2-4-4-2-244-24-2-2-2-2-42-4200000002200000000040-4000000220000000000-20000000000000000
χ3844444-2-4-4-2-244-24-2-2-2-2-42-42000000022000000000-404000000-2-2000000000020000000000000000
χ394444-24-4-444-2-24-2-2-2-2-22-42-40000000220000000040-40-2-2000000000000000000020000000000000
χ404444-24-4-444-2-24-2-2-2-2-22-42-400000002200000000-4040220000000000000000000-20000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-2-2-211-2-2-2-21111000000000000-2-21111000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422-2-2112222-1-1-1-1000000000000-2211-1-1000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-222112222-1-1-1-10000000000002-2-1-111000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-44222211-2-2-2-2111100000000000022-1-1-1-1000000000000000000000
χ4544-4-44400-44-4-4-444-44-4000000000000000000000000000−2i22i200000000000000000000−2i22i2000000000
χ4644-4-44400-44-4-4-444-44-40000000000000000000000000002i2−2i2000000000000000000002i2−2i2000000000
χ4744-4-4-2400-4422-4-2-22-2200000000000006−60066−6−60000−2i32i3−2i22i200000000000000000000i2−i2000000000
χ4844-4-4-2400-4422-4-2-22-2200000000000006−60066−6−600002i3−2i32i2−2i200000000000000000000−i2i2000000000
χ4944-4-4-2400-4422-4-2-22-220000000000000−6600−6−6660000−2i32i32i2−2i200000000000000000000−i2i2000000000
χ5044-4-4-2400-4422-4-2-22-220000000000000−6600−6−66600002i3−2i3−2i22i200000000000000000000i2−i2000000000
χ514-44-444004-44-4-4-444-4-400000000000000000000000000000−2i22i200000000000000000000−2i22i20000000
χ524-44-444004-44-4-4-444-4-4000000000000000000000000000002i2−2i2000000000000000000002i2−2i20000000
χ534-44-44-200-224-42-4-2-222000000000000000i6−i6i6−i6i6−i600000000−2i22i223−23000000000000000000i2−i20000000
χ544-44-44-200-224-42-4-2-222000000000000000i6−i6i6−i6i6−i6000000002i2−2i2−2323000000000000000000−i2i20000000
χ554-44-44-200-224-42-4-2-222000000000000000−i6i6−i6i6−i6i600000000−2i22i2−2323000000000000000000i2−i20000000
χ564-44-44-200-224-42-4-2-222000000000000000−i6i6−i6i6−i6i6000000002i2−2i223−23000000000000000000−i2i20000000
χ574-4-44444-4-4-4-444-44-4-44-4-44400000004-400000000000000000000000000000000000000000000000
χ584-4-4444-44-4-4-444-44-4-4444-4-40000000-4400000000000000000000000000000000000000000000000
χ594-4-444-24-422-44-2-4-222-2-424-2000−2i32i300-22000000000000000000000000−2i32i3000000000000000000000
χ604-4-444-24-422-44-2-4-222-2-424-20002i3−2i300-220000000000000000000000002i3−2i3000000000000000000000
χ614-4-444-2-4422-44-2-4-222-24-2-4200000002-20000000000000000000000000000000−2i32i300000000000000
χ624-4-444-2-4422-44-2-4-222-24-2-4200000002-200000000000000000000000000000002i3−2i300000000000000
χ634-4-44-244-4-4-42-242-222-22-4-240000023−23-22000000000000000000000023−2300000000000000000000000
χ644-4-44-244-4-4-42-242-222-22-4-2400000−2323-220000000000000000000000−232300000000000000000000000
χ654-4-44-24-44-4-42-242-222-2-242-400000002-2000000000000000000000000000000000023−2300000000000
χ664-4-44-24-44-4-42-242-222-2-242-400000002-20000000000000000000000000000000000−232300000000000
χ674-4-44-2-24-4222-2-221-1-1122-2-2000−2i32i323−231-100003i−3i−3i3i00000000000000−33i3−i3000000000000000000000
χ684-4-44-2-24-4222-2-221-1-1122-2-2000−2i32i3−23231-10000−3i3i3i−3i000000000000003−3i3−i3000000000000000000000
χ694-4-44-2-24-4222-2-221-1-1122-2-20002i3−2i323−231-10000−3i3i3i−3i00000000000000−33−i3i3000000000000000000000
χ704-4-44-2-24-4222-2-221-1-1122-2-20002i3−2i3−23231-100003i−3i−3i3i000000000000003−3−i3i3000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7288-8-88-4004-4-8-848-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-4004-4444-42-22-2000000000000026−2600−6−666000000000000000000000000000000000000000
χ7488-8-8-4-4004-4444-42-22-20000000000000−26260066−6−6000000000000000000000000000000000000000
χ758-88-8-48008-8-44-84-4-444000000000000000000000000000000000000000000000000000000000000
χ768-88-8-4-400-44-444422-2-20000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ778-88-8-4-400-44-444422-2-2000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ788-8-88-4-4-88444-4-442-2-22-4-4440000000-2200000000000000000000000000000000000000000000000

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