Finite Group Databasebeta

← Group #11889241

Character table — Group #11889241

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666662236661212121244466668121224242424242424242448812121212661212121244446812121212122424242424448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-111111111-111-111-1-1-11111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-11-111-111111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-11-1-1-1-111-1-111-1-111111-1-1
χ5111111111111111111111111-1-11111111111111111-1111111-1-11111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-11-1-1
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
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-11111-1-111-1-1-1-11111-11-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-1-11-1-1-1-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111111-11-11-1-1-11-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1111-111-1-1-1-1-111-1-1-1-111-111
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-111111-1-1-111-1-1-1-111-1-11-11
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-11-1-111111-1-1-1-1-1-1111-11
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-11-1111-11111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-111111111111-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-1-111
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-111-1-11111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-200000000-22-200-2-2220000000000-20002000000-220000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-220022220000000000-2000-20000002-20000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-200-2-2-2-20000000000200020000002-20000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-220022-2-200000000002000-2000000-220000000
χ2122222-122-12-122-122-1-1-1-12-1-1222222-1-12-1-1-1-122-1-1-1-12000000-1-1-1-1-12-1-10220-12000-1-1-1-1000000000-10
χ2222222-122-12-122-122-1-1-1-12-1-1222-222-1-1-2-1-111-2-211112000000-1-1-1-11-21102-20-1-2000-1-11100000000010
χ2322222-122-12-122-122-1-1-1-12-1-12-2-2222-1-12-1-1-1-122-1-1-1-1-200000011-1-1-12-1-10-2-201-2000111100000000010
χ2422222-122-12-122-122-1-1-1-12-1-12-2-2-222-1-1-2-1-111-2-21111-200000011-1-11-2110-2201200011-1-1000000000-10
χ2522222-122-12-122-1-2-2-1-1-1-12-1-12222-2-211-2-1-111-2-211112000000-1-111-12-1-10-220-1-20001111000000000-10
χ2622222-122-12-122-1-2-2-1-1-1-12-1-1222-2-2-2112-1-1-1-122-1-1-1-12000000-1-1111-2110-2-20-1200011-1-100000000010
χ2722222-122-12-122-1-2-2-1-1-1-12-1-12-2-22-2-211-2-1-111-2-21111-20000001111-12-1-102-2012000-1-1-1-100000000010
χ2822222-122-12-122-1-2-2-1-1-1-12-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-200000011111-21102201-2000-1-111000000000-10
χ292222-12222-12-1-1222-1-1-1-1-122-1002-1-1222-1-122-1-1-1-1-1-102222-1-100-1-12-1-1-1200200-1-1-10000-1-1000000-100
χ302222-12222-12-1-1222-1-1-1-1-122-1002-1-1222-1-122-1-1-1-1-1-10-2-2-2-21100-1-12-1-1-1-200-200111000011000000100
χ312222-12222-12-1-1222-1-1-1-1-122-100-2-1-122-2-1-1-2-2111111022-2-2-1-100-1-1-2111-200200-1-1-1000011000000100
χ322222-12222-12-1-1222-1-1-1-1-122-100-2-1-122-2-1-1-2-21111110-2-2221100-1-1-2111200-2001110000-1-1000000-100
χ332222-12222-12-1-12-2-2-1-1-1-1-122-100211-2-2-2-1-1-2-2111111022-2-2-1-100112-1-1-1200-20011-1000011000000-100
χ342222-12222-12-1-12-2-2-1-1-1-1-122-100211-2-2-2-1-1-2-21111110-2-2221100112-1-1-1-200200-1-110000-1-1000000100
χ352222-12222-12-1-12-2-2-1-1-1-1-122-100-211-2-22-1-122-1-1-1-1-1-102222-1-10011-2111-200-20011-10000-1-1000000100
χ362222-12222-12-1-12-2-2-1-1-1-1-122-100-211-2-22-1-122-1-1-1-1-1-10-2-2-2-2110011-2111200200-1-11000011000000-100
χ372-22-2222-2-22-2-2-222-22-22-22-22-20002-22-202-2000000000000000002-20000000000000000000002i−2i2i−2i000
χ382-22-2222-2-22-2-2-222-22-22-22-22-20002-22-202-2000000000000000002-2000000000000000000000−2i2i−2i2i000
χ392-22-2222-2-22-2-2-22-222-22-22-22-2000-22-2202-200000000000000000-220000000000000000000002i−2i−2i2i000
χ402-22-2222-2-22-2-2-22-222-22-22-22-2000-22-2202-200000000000000000-22000000000000000000000−2i2i2i−2i000
χ4144444-2-4-4-24-244-200-2-2-2-2-422-4440000002200000000-4000000-2-2000000000020000000000000000000
χ4244444-2-4-4-24-244-200-2-2-2-2-422-4-4-400000022000000004000000220000000000-20000000000000000000
χ434444-24-4-44-24-2-2400-2-2-2-22-4-4200000000220000000004-400220000000000000000-2000000000000000
χ444444-24-4-44-24-2-2400-2-2-2-22-4-420000000022000000000-4400-2-200000000000000002000000000000000
χ454444-2-244-2-2-2-2-2-2441111-2-2-2-2004-2-2-2-2411-2-2-2-2111100000000011-2-211000000000000000000000000
χ464444-2-244-2-2-2-2-2-2441111-2-2-2-200-4-2-2-2-2-4112222-1-1-1-10000000001122-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20042222-4112222-1-1-1-1000000000-1-1-2-211000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-41111-2-2-2-200-42222411-2-2-2-21111000000000-1-122-1-1000000000000000000000000
χ4944-4-44400-4-44-44-4004-4-4400004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ5044-4-44400-4-44-44-4004-4-440000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ5144-4-44-2002-4-2-44200-222-200004i−4i00000000i6−i600i6i6−i6−i60000000−2i2i000000000000000006−600000000000
χ5244-4-44-2002-4-2-44200-222-200004i−4i00000000−i6i600−i6−i6i6i60000000−2i2i00000000000000000−6600000000000
χ5344-4-44-2002-4-2-44200-222-20000−4i4i00000000i6−i600i6i6−i6−i600000002i−2i00000000000000000−6600000000000
χ5444-4-44-2002-4-2-44200-222-20000−4i4i00000000−i6i600−i6−i6i6i600000002i−2i000000000000000006−600000000000
χ554-44-444-44-44-4-4-44004-44-4-44-4400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4242-4-4-24-4-22-2242-2-40004-4-220-2200000000000000000-220000000000000000000000000000
χ574-44-44-24-4242-4-4-2-44-22-2242-2-4000-442-20-22000000000000000002-20000000000000000000000000000
χ584-44-44-2-44242-4-4-200-22-22-4-224000000002-200000000000000000000000000000000−2i32i30000000000000
χ594-44-44-2-44242-4-4-200-22-22-4-224000000002-2000000000000000000000000000000002i3−2i30000000000000
χ604-44-4-244-4-4-2-42244-4-22-22-2-442000-224-40-2200000000000000000-220000000000000000000000000000
χ614-44-4-244-4-4-2-4224-44-22-22-2-4420002-2-440-22000000000000000002-20000000000000000000000000000
χ624-44-4-24-44-4-2-422400-22-2224-4-2000000002-20000000000000000000000000000023−230000000000000000
χ634-44-4-24-44-4-2-422400-22-2224-4-2000000002-200000000000000000000000000000−23230000000000000000
χ644-44-4-2-24-42-2222-24-41-11-1-22-22000-22-2201-100003i−3i3i−3i0000000001-1003i−3i000000000000000000000000
χ654-44-4-2-24-42-2222-24-41-11-1-22-22000-22-2201-10000−3i3i−3i3i0000000001-100−3i3i000000000000000000000000
χ664-44-4-2-24-42-2222-2-441-11-1-22-220002-22-201-100003i−3i3i−3i000000000-1100−3i3i000000000000000000000000
χ674-44-4-2-24-42-2222-2-441-11-1-22-220002-22-201-10000−3i3i−3i3i000000000-11003i−3i000000000000000000000000
χ684-4-4444004-4-44-4-40044-4-40000000000000000000000000−2i22i200000000000000000000000−2i22i2000000000
χ694-4-4444004-4-44-4-40044-4-400000000000000000000000002i2−2i2000000000000000000000002i2−2i2000000000
χ704-4-44-240042-4-22-400-2-22200000000000000006−66−6−66000−2i22i2−2i32i3000000000000000000000i2−i2000000000
χ714-4-44-240042-4-22-400-2-22200000000000000006−66−6−660002i2−2i22i3−2i3000000000000000000000−i2i2000000000
χ724-4-44-240042-4-22-400-2-2220000000000000000−66−666−6000−2i22i22i3−2i3000000000000000000000i2−i2000000000
χ734-4-44-240042-4-22-400-2-2220000000000000000−66−666−60002i2−2i2−2i32i3000000000000000000000−i2i2000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-8484-4-800-444-40000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-40044-44-44002-2-22000000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-40044-44-44002-2-2200000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-8-4-4-884-4444-4002-22-24-44-400000000-2200000000000000000000000000000000000000000000000
χ798-8-888-400-4-848-8400-4-4440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-444-4440022-2-2000000000000000026−26−666−6000000000000000000000000000000000000000
χ818-8-88-4-400-444-4440022-2-20000000000000000−26266−6−66000000000000000000000000000000000000000

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