Finite Group Databasebeta

← Group #11889769

Character table — Group #11889769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order122233446666663666121212122244812121212242424242424242424444668812121212121212244681212121224242424224488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-11-11111-1-11111111-11-1-11111-111-1-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11111111-1-111-1-11-1-1-1-1111-1-1-11111-1-1111-1-1-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-11111-11-11-1-11-1-1-1-11111-1-111-1-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-1-1-11111-111-1-111-111-1-11-1-1-1-1-111-1-1-1-111-1111
χ7111111111111111111111111-1-11-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-11111-1-1-1-1
χ8111111111111111111111111-1-11-1-11111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-11-111-1-1-111-1-111-1-1-1-11-111
χ91111111111111111111111-1-11111111111111111-11-1-1-1-11111111111-111-1-1-1-11-1-111-1-1-1-1-1-11-11-1
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
χ111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11-1-111-1-1-11111-1-1-1111-1-111-1-111-111-1
χ121111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-11-1-1-1-11111-1-111-1-111-11
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-11-1111-1-1-1-1-111-1-1111-1-111-111111-1-1-1-1-1-1111-1-11
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11-11-111-111111111-1-1-1-11-1
χ151111111111111111111111-1-1-1-11-1-111111111111-1111-1-111-1-1-1-1-1-1-1-11-11-1-1111-1-11111-1-1-1-1-11-11
χ161111111111111111111111-1-1-1-11-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-11111111-1
χ17222222-2-22222222222-2-2-2-22200000-2-2000000002-2-2002200000000000020-200-20000002-2000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-2-220022000000000000-20-2002000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-20000000022-200-2-200000000000020200-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-200000000-22200-2-2000000000000-2020020000002-2000000
χ2122222-1222-1-122-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1202000022-1-12-1-1-1-1202-10000-100-1-1000000-10-10
χ2222222-1222-1-122-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1-20-20000-2-2-1-12-1-1-1-1-20-210000100110000001010
χ2322222-1222-1-122-1-1-1-1-1-122-1002-2-222-1-1-2-21111112020000-2-2-11-2-1-111-202-10000-1001100000010-10
χ2422222-1222-1-122-1-1-1-1-1-122-1002-2-222-1-1-2-2111111-20-2000022-11-2-1-11120-210000100-1-1000000-1010
χ2522222-1222-1-122-1-1-1-1-1-122-100-22-2-2-2-1-1-2-21111112020000-2-21-1211-1-120-2-10000-10011000000-1010
χ2622222-1222-1-122-1-1-1-1-1-122-100-22-2-2-2-1-1-2-2111111-20-20000221-1211-1-1-20210000100-1-100000010-10
χ2722222-1222-1-122-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-120200002211-21111-20-2-10000-100-1-10000001010
χ2822222-1222-1-122-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-1-20-20000-2-211-211112021000010011000000-10-10
χ292222-1222-122-1-12-1-1-1-12-1-1222222-1-1-1-1-1-122-1-1-1-102022-1-10022-1-1-1-1-102002-1-1-10-1-1000000000-100
χ302222-1222-122-1-12-1-1-1-12-1-12222-2-2-1-1-1-111-2-2111102022-1-1002-21-1-1110-200-2-1-1-1011000000000100
χ312222-1222-122-1-12-1-1-1-12-1-1222-22-211-1-111-2-21111020-2-2-1-100-22-111-1-10200-2-111011000000000-100
χ322222-1222-122-1-12-1-1-1-12-1-1222-2-2211-1-1-1-122-1-1-1-1020-2-2-1-100-2-2111110-2002-1110-1-1000000000100
χ332222-1222-122-1-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-122-1-1-1-10-20-2-2110022-1-1-1-1-10-200-2111011000000000100
χ342222-1222-122-1-12-1-1-1-12-1-12-2-22-2-2-1-1-1-111-2-211110-20-2-211002-21-1-111020021110-1-1000000000-100
χ352222-1222-122-1-12-1-1-1-12-1-12-2-2-22-211-1-111-2-211110-20221100-22-111-1-10-20021-1-10-1-1000000000100
χ362222-1222-122-1-12-1-1-1-12-1-12-2-2-2-2211-1-1-1-122-1-1-1-10-20221100-2-2111110200-21-1-1011000000000-100
χ372-22-2222-2-2-2-22-222-22-22-22-200000002-2000000000002i−2i002i−2i00000000000002i−2i0002i−2i2-200000000
χ382-22-2222-2-2-2-22-222-22-22-22-200000002-2000000000002i−2i00−2i2i00000000000002i−2i000−2i2i-2200000000
χ392-22-2222-2-2-2-22-222-22-22-22-200000002-200000000000−2i2i002i−2i0000000000000−2i2i0002i−2i-2200000000
χ402-22-2222-2-2-2-22-222-22-22-22-200000002-200000000000−2i2i00−2i2i0000000000000−2i2i000−2i2i2-200000000
χ4144444-2-4-44-2-244-2-2-2-2-22-4-420000000220000000040-40000000000000000-20000200000000000000
χ4244444-2-4-44-2-244-2-2-2-2-22-4-4200000002200000000-404000000000000000020000-200000000000000
χ434444-24-4-4-244-2-24-2-2-2-2-422-4440000022000000000-4000-2-200000000000000200000000000000000
χ444444-24-4-4-244-2-24-2-2-2-2-422-4-4-4000002200000000040002200000000000000-200000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-211-2-2-2-21111000000000-2-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-2112222-1-1-1-1000000000-22211-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422112222-1-1-1-10000000002-2-2-1-11100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-442211-2-2-2-21111000000000222-1-1-1-100000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400004-4000000000000000000004-400000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000-4400000000000000000000-4400000000000000000000000000000000
χ5144-4-4-2400-24-422-4-2-22200004-40000000i6−i600i6i6−i6−i600000-22000000000000000000i6−i6000000000000
χ5244-4-4-2400-24-422-4-2-22200004-40000000−i6i600−i6−i6i6i600000-22000000000000000000−i6i6000000000000
χ5344-4-4-2400-24-422-4-2-2220000-440000000i6−i600i6i6−i6−i6000002-2000000000000000000−i6i6000000000000
χ5444-4-4-2400-24-422-4-2-2220000-440000000−i6i600−i6−i6i6i6000002-2000000000000000000i6−i6000000000000
χ554-44-444-44-4-4-44-444-44-4-44-440000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-4224-4-2-22-22-2-4420000000-220000000000000004i−4i000000000000000000−2i2i0000000000
χ574-44-44-24-4-4224-4-2-22-22-2-4420000000-22000000000000000−4i4i0000000000000000002i−2i0000000000
χ584-44-44-2-44-4224-4-2-22-2224-4-200000002-200−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000
χ594-44-44-2-44-4224-4-2-22-2224-4-200000002-2002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000
χ604-44-4-244-42-4-4-224-22-2242-2-40000000-22000000000004i−4i00000000000000000−2i2i000000000000000
χ614-44-4-244-42-4-4-224-22-2242-2-40000000-2200000000000−4i4i000000000000000002i−2i000000000000000
χ624-44-4-24-442-4-4-224-22-22-4-2240000023−232-20000000000000000000023−230000000000000000000000000
χ634-44-4-24-442-4-4-224-22-22-4-22400000−23232-200000000000000000000−23230000000000000000000000000
χ644-44-4-2-2-44222-22-21-11-12-22-20000023−23-1100−2i32i3i3−i3i3−i3000000000000−333i−3i00000000000000000000000
χ654-44-4-2-2-44222-22-21-11-12-22-20000023−23-11002i3−2i3−i3i3−i3i3000000000000−33−3i3i00000000000000000000000
χ664-44-4-2-2-44222-22-21-11-12-22-200000−2323-1100−2i32i3i3−i3i3−i30000000000003−3−3i3i00000000000000000000000
χ674-44-4-2-2-44222-22-21-11-12-22-200000−2323-11002i3−2i3−i3i3−i3i30000000000003−33i−3i00000000000000000000000
χ684-4-444400-4-44-44-44-4-4400000000000000000000000000000000000000000000000000000022−220000
χ694-4-444400-4-44-44-44-4-44000000000000000000000000000000000000000000000000000000−22220000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-4008-44-8-84-4-444000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400-4-4444422-2-200000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7388-8-8-4-400-4-4444422-2-20000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ748-88-8-4-48-8444-44-42-22-2-44-4400000002-200000000000000000000000000000000000000000000000
χ758-8-888-400-84-4-884-444-4000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-884-4-8-444-4000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40044-44-442-2-220000000000000000032−32−3232000000000000000000000000000000000000000
χ788-8-88-4-40044-44-442-2-2200000000000000000−323232−32000000000000000000000000000000000000000

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