Finite Group Databasebeta

← Group #11888691

Character table — Group #11888691

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222224444444466888888888888888121212121212121212161616161616162424242424242424242424242436363636363648484872
order1222334466666636661212121244448121212122424242424242424224448812121212121212121224466812121224242424224488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-1111111111-11-11-1111-111-1-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-11-1-111-1111-1-1-1-1-1-111-1-11-1-11
χ41111111111111111111111111-1-11111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-1-111-1-111-1-1-11111-1-111-1-11-1
χ5111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-111-1-111-11111-1-1-11-1-1-1-11111-1-1-111-1
χ6111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-11111-11-1-1-1-1-1-1-111-1-1-1-11111-11
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
χ8111111111111111111111111-1-11-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11-1-1-111-1-111-1-1-1-11-111
χ91111111111111111111111-1-1111111111111111-111-1-111-1-111111111-11-11-1-1-11-1-111-1-1-1-1-1-11-11-1
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
χ111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-111-1-1111-1-111-1-11111-1-1
χ121111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1-11-1-1-11111-1-111-1-1-1111
χ131111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-11-11111111-1-1-1-1-1-111-1-111
χ141111111111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111-1-1-1-1111-111111111-1-11-1-1-1
χ151111111111111111111111-1-1-1-11-1-11111111111-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11111-1-1-1-1-11-11
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
χ17222222-2-22222222222-2-2-2-22200000-2-200000000-22-20000220000000000-22000-2000000-22000000
χ18222222-2-22222222222-2-2-2-22200000-2-200000000-2-220000220000000000-2-200020000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-200000-2-20000000022-20000-2-2000000000022000-20000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-200000-2-2000000002-220000-2-200000000002-20002000000-22000000
χ2122222-122-12-122-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-1022002200-12-1-1-1-1-12020-1000-100-1-1000000-10-10
χ2222222-122-12-122-1-1-1-1-1-122-10022222-1-122-1-1-1-1-1-10-2-200-2-200-12-1-1-1-1-1-20-201000100110000001010
χ2322222-122-12-122-1-1-1-1-1-122-1002-2-222-1-1-2-211111102200-2-200-1-21-1-11120-20-1000-10011000000-1010
χ2422222-122-12-122-1-1-1-1-1-122-1002-2-222-1-1-2-21111110-2-2002200-1-21-1-111-20201000100-1-100000010-10
χ2522222-122-12-122-1-1-1-1-1-122-100-22-2-2-2-1-1-2-211111102200-2-20012-111-1-1-2020-1000-1001100000010-10
χ2622222-122-12-122-1-1-1-1-1-122-100-22-2-2-2-1-1-2-21111110-2-200220012-111-1-120-201000100-1-1000000-1010
χ2722222-122-12-122-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-10220022001-211111-20-20-1000-100-1-10000001010
χ2822222-122-12-122-1-1-1-1-1-122-100-2-22-2-2-1-122-1-1-1-1-1-10-2-200-2-2001-2111112020100010011000000-10-10
χ292222-12222-12-1-12-1-1-1-12-1-1222222-1-1-1-1-1-122-1-1-1-12002200-1-12-12-1-1-1-1020-102-1-10-1-1000000000-100
χ302222-12222-12-1-12-1-1-1-12-1-12222-2-2-1-1-1-111-2-211112002200-1-121-2-1-1110-20-10-2-1-1011000000000100
χ312222-12222-12-1-12-1-1-1-12-1-1222-22-211-1-111-2-21111200-2-200-1-1-2-1211-1-1020-10-211011000000000-100
χ322222-12222-12-1-12-1-1-1-12-1-1222-2-2211-1-1-1-122-1-1-1-1200-2-200-1-1-21-211110-20-102110-1-1000000000100
χ332222-12222-12-1-12-1-1-1-12-1-12-2-2222-1-1-1-1-1-122-1-1-1-1-200-2-200112-12-1-1-1-10-2010-211011000000000100
χ342222-12222-12-1-12-1-1-1-12-1-12-2-22-2-2-1-1-1-111-2-21111-200-2-2001121-2-1-111020102110-1-1000000000-100
χ352222-12222-12-1-12-1-1-1-12-1-12-2-2-22-211-1-111-2-21111-200220011-2-1211-1-10-20102-1-10-1-1000000000100
χ362222-12222-12-1-12-1-1-1-12-1-12-2-2-2-2211-1-1-1-122-1-1-1-1-200220011-21-2111102010-2-1-1011000000000-100
χ372-22-2222-2-2-2-2-2222-22-22-22-200000002-2000000000002i−2i2i−2i0000000000000002i−2i0002i−2i2-200000000
χ382-22-2222-2-2-2-2-2222-22-22-22-200000002-2000000000002i−2i−2i2i0000000000000002i−2i000−2i2i-2200000000
χ392-22-2222-2-2-2-2-2222-22-22-22-200000002-200000000000−2i2i2i−2i000000000000000−2i2i0002i−2i-2200000000
χ402-22-2222-2-2-2-2-2222-22-22-22-200000002-200000000000−2i2i−2i2i000000000000000−2i2i000−2i2i2-200000000
χ4144444-2-4-4-24-244-2-2-2-2-22-4-420000000220000000004-400000000000000000-2000200000000000000
χ4244444-2-4-4-24-244-2-2-2-2-22-4-42000000022000000000-44000000000000000002000-200000000000000
χ434444-24-4-44-24-2-24-2-2-2-2-422-444000002200000000-4000000-2-2000000000020000000000000000000
χ444444-24-4-44-24-2-24-2-2-2-2-422-4-4-40000022000000004000000220000000000-20000000000000000000
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
χ4944-4-44400-444-4-4-44-4-4400004i−4i00000000000000000000004i−4i000000000000000000000000000000
χ5044-4-44400-444-4-4-44-4-440000−4i4i0000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-4-2400-4-2422-4-222-200004i−4i0000000i6−i600i6i6−i6−i60000000−2i2i00000000000000006−6000000000000
χ5244-4-4-2400-4-2422-4-222-200004i−4i0000000−i6i600−i6−i6i6i60000000−2i2i0000000000000000−66000000000000
χ5344-4-4-2400-4-2422-4-222-20000−4i4i0000000i6−i600i6i6−i6−i600000002i−2i0000000000000000−66000000000000
χ5444-4-4-2400-4-2422-4-222-20000−4i4i0000000−i6i600−i6−i6i6i600000002i−2i00000000000000006−6000000000000
χ554-44-444-44-4-4-4-4444-44-4-44-440000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-42-42-44-2-22-22-2-4420000000-2200000000000004i−4i00000000000000000000−2i2i0000000000
χ574-44-44-24-42-42-44-2-22-22-2-4420000000-220000000000000−4i4i000000000000000000002i−2i0000000000
χ584-44-44-2-442-42-44-2-22-2224-4-200000002-200−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000
χ594-44-44-2-442-42-44-2-22-2224-4-200000002-2002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000
χ604-44-4-244-4-42-42-24-22-2242-2-40000000-22000000000004i−4i00000000000000000−2i2i000000000000000
χ614-44-4-244-4-42-42-24-22-2242-2-40000000-2200000000000−4i4i000000000000000002i−2i000000000000000
χ624-44-4-24-44-42-42-24-22-22-4-2240000023−232-20000000000000000000023−230000000000000000000000000
χ634-44-4-24-44-42-42-24-22-22-4-22400000−23232-200000000000000000000−23230000000000000000000000000
χ644-44-4-2-2-442222-2-21-11-12-22-20000023−23-1100−2i32i3i3−i3i3−i3000000000000−333i−3i00000000000000000000000
χ654-44-4-2-2-442222-2-21-11-12-22-20000023−23-11002i3−2i3−i3i3−i3i3000000000000−33−3i3i00000000000000000000000
χ664-44-4-2-2-442222-2-21-11-12-22-200000−2323-1100−2i32i3i3−i3i3−i30000000000003−3−3i3i00000000000000000000000
χ674-44-4-2-2-442222-2-21-11-12-22-200000−2323-11002i3−2i3−i3i3−i3i30000000000003−33i−3i00000000000000000000000
χ684-4-4444004-4-44-4-444-4-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ694-4-4444004-4-44-4-444-4-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ708888-4-4-8-8-4-4-4-4-4-4222244440000000-2-200000000000000000000000000000000000000000000000
χ7188-8-88-40048-4-8-84-444-4000000000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-4004-4-44442-2-2200000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7388-8-8-4-4004-4-44442-2-220000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ748-88-8-4-48-84444-4-42-22-2-44-4400000002-200000000000000000000000000000000000000000000000
χ758-8-888-400-4-848-84-4-444000000000000000000000000000000000000000000000000000000000000
χ768-8-88-480084-8-44-8-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-444-44422-2-20000000000000000032−32−3232000000000000000000000000000000000000000
χ788-8-88-4-400-444-44422-2-200000000000000000−323232−32000000000000000000000000000000000000000

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