Finite Group Databasebeta

← Group #11888697

Character table — Group #11888697

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order1222334466666634466612121212444812121212121224242424242424242246688121212121212121244446812121212122424242422448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-11-11111-1-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11-111111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-11-1-111-111-1-1-1-1-11111-1-111-11-1
χ5111111111111111111111111-1-11111111111111111-1111111-1-1111111-11-11-1-1-1-1111-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-11-1-111111-1-111-1-1111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-11-1-1-1-1-11111-1-111-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1111-1-1-1-1-11-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-111-11-1-1-111-1-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-1-111-111-1-111-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11-1111-1-1111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111111-111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11-1-11111-1-1-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-200000000-22-22200220000000000-200000-20000002-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-22-2-200220000000000-2000002000000-2200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-22200-2-20000000000200000-2000000-2200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-22-2-200-2-2000000000020000020000002-200000
χ2122222-1222-12-12-1-122-1-1-12-12-1002222-1-1-1-122-1-1-1-1-1-1022-1-12200-12-1-1-1-102020000-1-1-100-1-10000000-10
χ2222222-1222-12-12-1-122-1-1-12-12-1002222-1-1-1-122-1-1-1-1-1-10-2-211-2-200-12-1-1-1-10-20-200001110011000000010
χ2322222-1222-12-12-1-122-1-1-12-12-100-2-222-1-1-1-1-2-2111111022-1-1-2-2001-2-1-111020-20000-1-1-10011000000010
χ2422222-1222-12-12-1-122-1-1-12-12-100-2-222-1-1-1-1-2-21111110-2-21122001-2-1-1110-202000011100-1-10000000-10
χ2522222-1222-12-12-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-2-2111111022-1-1-2-200-1211-1-10-202000011-100110000000-10
χ2622222-1222-12-12-1-1-2-2-1-1-12-12-1002-2-2-211-1-1-2-21111110-2-2112200-1211-1-1020-20000-1-1100-1-1000000010
χ2722222-1222-12-12-1-1-2-2-1-1-12-12-100-22-2-211-1-122-1-1-1-1-1-1022-1-122001-211110-20-2000011-100-1-1000000010
χ2822222-1222-12-12-1-1-2-2-1-1-12-12-100-22-2-211-1-122-1-1-1-1-1-10-2-211-2-2001-2111102020000-1-1100110000000-10
χ292222-1222-12-12-12-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-12000000-1-12-1-1-1-1-12020-12-1-1000-1-100000000-100
χ302222-1222-12-12-12-122-1-1-1-12-1222-2-2-1-122-1-111-2-211112000000-1-1-21-1-11120-20-1-2-1-10001100000000100
χ312222-1222-12-12-12-122-1-1-1-12-12-2-222-1-122-1-1-1-122-1-1-1-1-2000000112-1-1-1-1-1-20-201-2110001100000000100
χ322222-1222-12-12-12-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-21111-200000011-21-1-111-20201211000-1-100000000-100
χ332222-1222-12-12-12-1-2-2-1-1-1-12-12222-211-2-2-1-111-2-211112000000-1-12-111-1-1-2020-1-2110001100000000-100
χ342222-1222-12-12-12-1-2-2-1-1-1-12-1222-2211-2-2-1-1-1-122-1-1-1-12000000-1-1-211111-20-20-1211000-1-100000000100
χ352222-1222-12-12-12-1-2-2-1-1-1-12-12-2-22-211-2-2-1-111-2-21111-2000000112-111-1-120-2012-1-1000-1-100000000100
χ362222-1222-12-12-12-1-2-2-1-1-1-12-12-2-2-2211-2-2-1-1-1-122-1-1-1-1-200000011-21111120201-2-1-10001100000000-100
χ372-2-22222-2-2-2-2-22222i−2i2-2-222-2-200002i−2i2i−2i-2200000000000000000002i−2i000000000000000002-2002i−2i000
χ382-2-22222-2-2-2-2-22222i−2i2-2-222-2-200002i−2i2i−2i-2200000000000000000002i−2i00000000000000000-2200−2i2i000
χ392-2-22222-2-2-2-2-2222−2i2i2-2-222-2-20000−2i2i−2i2i-220000000000000000000−2i2i000000000000000002-200−2i2i000
χ402-2-22222-2-2-2-2-2222−2i2i2-2-222-2-20000−2i2i−2i2i-220000000000000000000−2i2i00000000000000000-22002i−2i000
χ4144444-2-4-44-24-24-2-200-2-2-2-42-4200000000220000000004-4-2-20000000000000000000020000000000000
χ4244444-2-4-44-24-24-2-200-2-2-2-42-420000000022000000000-442200000000000000000000-20000000000000
χ434444-24-4-4-24-24-24-200-2-2-22-42-4440000002200000000-4000000-2-2000000000020000000000000000000
χ444444-24-4-4-24-24-24-200-2-2-22-42-4-4-400000022000000004000000220000000000-20000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-444004-4-44-4-4400-44-4000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ5044-4-444004-4-44-4-4400-44-40000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ5144-4-44-20042-4-2-42-2002-2200000000000000006−666−6−6000−2i32i3−2i22i2000000000000000000000i2−i2000000000
χ5244-4-44-20042-4-2-42-2002-2200000000000000006−666−6−60002i3−2i32i2−2i2000000000000000000000−i2i2000000000
χ5344-4-44-20042-4-2-42-2002-220000000000000000−66−6−666000−2i32i32i2−2i2000000000000000000000−i2i2000000000
χ5444-4-44-20042-4-2-42-2002-220000000000000000−66−6−6660002i3−2i3−2i22i2000000000000000000000i2−i2000000000
χ554-44-44400-444-4-4-4400-4-4400004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ564-44-44400-444-4-4-4400-4-440000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ574-44-4-240024-2-42-4-20022-200004i−4i000000006−6006−66−60000000−2i2i00000000000000000i6−i600000000000
χ584-44-4-240024-2-42-4-20022-200004i−4i00000000−6600−66−660000000−2i2i00000000000000000−i6i600000000000
χ594-44-4-240024-2-42-4-20022-20000−4i4i000000006−6006−66−600000002i−2i00000000000000000−i6i600000000000
χ604-44-4-240024-2-42-4-20022-20000−4i4i00000000−6600−66−6600000002i−2i00000000000000000i6−i600000000000
χ614-4-4444-44-4-4-4-4444004-4-4-4-444000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-4-42-424-2-24i−4i-2224-2-4200004i−4i−2i2i2-20000000000000000000−2i2i00000000000000000000000000
χ634-4-444-24-4-42-424-2-2−4i4i-2224-2-420000−4i4i2i−2i2-200000000000000000002i−2i00000000000000000000000000
χ644-4-444-2-44-42-424-2-200-222-424-200000000-22000000000000000000000000000000023−2300000000000000
χ654-4-444-2-44-42-424-2-200-222-424-200000000-220000000000000000000000000000000−232300000000000000
χ664-4-44-244-42-42-4-24-24i−4i-222-242-40000−2i2i4i−4i2-20000000000000000000−2i2i00000000000000000000000000
χ674-4-44-244-42-42-4-24-2−4i4i-222-242-400002i−2i−4i4i2-200000000000000000002i−2i00000000000000000000000000
χ684-4-44-24-442-42-4-24-200-2222-4-2400000000-220000000000000000000000000000023−230000000000000000
χ694-4-44-24-442-42-4-24-200-2222-4-2400000000-2200000000000000000000000000000−23230000000000000000
χ704-4-44-2-24-42222-2-214i−4i1-1-1-2-2220000−2i2i−2i2i-1100003-3-3300000000000i−i3i−3i000000000000000000000000
χ714-4-44-2-24-42222-2-214i−4i1-1-1-2-2220000−2i2i−2i2i-110000-333-300000000000i−i−3i3i000000000000000000000000
χ724-4-44-2-24-42222-2-21−4i4i1-1-1-2-22200002i−2i2i−2i-1100003-3-3300000000000−ii−3i3i000000000000000000000000
χ734-4-44-2-24-42222-2-21−4i4i1-1-1-2-22200002i−2i2i−2i-110000-333-300000000000−ii3i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-4-8484-8-4004-440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-444-444200-22-2000000000000000026−26−6−666000000000000000000000000000000000000000
χ7788-8-8-4-400-444-444200-22-20000000000000000−262666−6−6000000000000000000000000000000000000000
χ788-88-88-400-8-484-84-40044-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-4444200-2-220000000000000026−2600−66−66000000000000000000000000000000000000000
χ808-88-8-4-4004-4-4444200-2-2200000000000000−2626006−66−6000000000000000000000000000000000000000
χ818-8-88-4-4-884444-4-42002-2-244-4-4000000002-200000000000000000000000000000000000000000000000

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