Finite Group Databasebeta

← Group #11889703

Character table — Group #11889703

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666662236661212121222466668121224242424242424244446688121266121212122444668121212122424242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1-1-11111111-1-11111-11-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-111-11111-1-1-1-11-1-11-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-11-111-1-11-1-1-1-111-111-111-11-1
χ5111111111111111111111111-1-1111111111111111111-1-1-11111111111-111-1-1-1-11-111-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-11-11-1-111-11111-1-1-111-1111-1-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11-1-1-1-111111-1-11-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-111-1-1-111-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-11-11-1-1-1-1111-1-111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111111-1-1-111-1-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-11-11111-1-1-111-1-1-1-1-1-111-111
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-11111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-1-1-11-1-1111-11-1-1-1-1-111-111-1-1-11-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-11-1-111111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-2000000002-2-22200-2-200000000000002-2000000200-200000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-22-22200220000000000000-2-2000000-200200000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-22-2-200-2-2000000000000022000000-200200000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-200000000-222-2-200220000000000000-22000000200-200000
χ2122222-122-12-12-1222-1-1-1-12-1-1222222-1-12-1-1-1-122-1-1-1-1002-1-10000-1-1-12-1-12002-1-120-100-1-100000000-100
χ2222222-122-12-12-1222-1-1-1-12-1-1222-222-1-1-2-1-111-2-21111002-1-10000-1-11-211200-2-1-1-20-1001100000000100
χ2322222-122-12-12-1222-1-1-1-12-1-12-2-2222-1-12-1-1-1-122-1-1-1-100-2110000-1-1-12-1-1-200-211-201001100000000100
χ2422222-122-12-12-1222-1-1-1-12-1-12-2-2-222-1-1-2-1-111-2-2111100-2110000-1-11-211-20021120100-1-100000000-100
χ2522222-122-12-12-12-2-2-1-1-1-12-1-12222-2-211-2-1-111-2-21111002-1-1000011-12-1-1-200211-20-1001100000000-100
χ2622222-122-12-12-12-2-2-1-1-1-12-1-1222-2-2-2112-1-1-1-122-1-1-1-1002-1-10000111-211-200-21120-100-1-100000000100
χ2722222-122-12-12-12-2-2-1-1-1-12-1-12-2-22-2-211-2-1-111-2-2111100-211000011-12-1-1200-2-1-120100-1-100000000100
χ2822222-122-12-12-12-2-2-1-1-1-12-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-100-2110000111-2112002-1-1-201001100000000-100
χ292222-12222-12-12-122-1-1-1-1-122-1002-1-1222-1-122-1-1-1-1-1-12200022-1-1-1-12-1-1-10220000-10-1-100-1-10000000-10
χ302222-12222-12-12-122-1-1-1-1-122-1002-1-1222-1-122-1-1-1-1-1-1-2-2000-2-211-1-12-1-1-10-2-2000010110011000000010
χ312222-12222-12-12-122-1-1-1-1-122-100-2-1-122-2-1-1-2-211111122000-2-2-1-1-1-1-211102-20000-10-1-10011000000010
χ322222-12222-12-12-122-1-1-1-1-122-100-2-1-122-2-1-1-2-2111111-2-20002211-1-1-21110-220000101100-1-10000000-10
χ332222-12222-12-12-1-2-2-1-1-1-1-122-100211-2-2-2-1-1-2-211111122000-2-2-1-1112-1-1-10-220000-101100110000000-10
χ342222-12222-12-12-1-2-2-1-1-1-1-122-100211-2-2-2-1-1-2-2111111-2-20002211112-1-1-102-2000010-1-100-1-1000000010
χ352222-12222-12-12-1-2-2-1-1-1-1-122-100-211-2-22-1-122-1-1-1-1-1-12200022-1-111-21110-2-20000-101100-1-1000000010
χ362222-12222-12-12-1-2-2-1-1-1-1-122-100-211-2-22-1-122-1-1-1-1-1-1-2-2000-2-21111-2111022000010-1-100110000000-10
χ372-2-22222-2-22-2-22-22-22-22-22-22-20002-22-202-2000000000000000002-2000000000000000000002i−2i02i−2i000
χ382-2-22222-2-22-2-22-22-22-22-22-22-20002-22-202-2000000000000000002-200000000000000000000−2i2i0−2i2i000
χ392-2-22222-2-22-2-22-2-222-22-22-22-2000-22-2202-200000000000000000-22000000000000000000002i−2i0−2i2i000
χ402-2-22222-2-22-2-22-2-222-22-22-22-2000-22-2202-200000000000000000-2200000000000000000000−2i2i02i−2i000
χ4144444-2-4-4-24-24-2400-2-2-2-2-422-444000000220000000000-4-2-20000000000000000002000000000000000
χ4244444-2-4-4-24-24-2400-2-2-2-2-422-4-4-4000000220000000000422000000000000000000-2000000000000000
χ434444-24-4-44-24-24-200-2-2-2-22-4-420000000022000000004-400000220000000000000-20000000000000000
χ444444-24-4-44-24-24-200-2-2-2-22-4-42000000002200000000-4400000-2-2000000000000020000000000000000
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
χ4944-4-444004-4-44-4-40044-4-400004-400000000000000000004-40000000000000000000000000000000000
χ5044-4-444004-4-44-4-40044-4-40000-440000000000000000000-440000000000000000000000000000000000
χ5144-4-44-200-2-4242-400-2-22200004-4000000006−60066−6−6000-220000000000000000000006−600000000000
χ5244-4-44-200-2-4242-400-2-22200004-400000000−6600−6−666000-22000000000000000000000−6600000000000
χ5344-4-44-200-2-4242-400-2-2220000-44000000006−60066−6−60002-2000000000000000000000−6600000000000
χ5444-4-44-200-2-4242-400-2-2220000-4400000000−6600−6−6660002-20000000000000000000006−600000000000
χ554-44-44400-4-44-4-44004-4-4400000000000000000000000000022−2200000000000000000000022−22000000000
χ564-44-44400-4-44-4-44004-4-44000000000000000000000000000−2222000000000000000000000−2222000000000
χ574-44-4-2400-4242-4-200-222-20000000000000000i6−i6i6−i6i6−i60000022−22−2i32i30000000000000000000−22000000000
χ584-44-4-2400-4242-4-200-222-20000000000000000i6−i6i6−i6i6−i600000−22222i3−2i300000000000000000002−2000000000
χ594-44-4-2400-4242-4-200-222-20000000000000000−i6i6−i6i6−i6i60000022−222i3−2i30000000000000000000−22000000000
χ604-44-4-2400-4242-4-200-222-20000000000000000−i6i6−i6i6−i6i600000−2222−2i32i300000000000000000002−2000000000
χ614-4-4444-44-44-4-44-4004-44-4-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-444-24-4242-4-2-44-4-22-2242-2-40004-4-220-2200000000000000000-220000000000000000000000000000
χ634-4-444-24-4242-4-2-4-44-22-2242-2-4000-442-20-22000000000000000002-20000000000000000000000000000
χ644-4-444-2-44242-4-2-400-22-22-4-224000000002-2000000000000000000000000000−2i32i3000000000000000000
χ654-4-444-2-44242-4-2-400-22-22-4-224000000002-20000000000000000000000000002i3−2i3000000000000000000
χ664-4-44-244-4-4-2-42424-4-22-22-2-442000-224-40-2200000000000000000-220000000000000000000000000000
χ674-4-44-244-4-4-2-4242-44-22-22-2-4420002-2-440-22000000000000000002-20000000000000000000000000000
χ684-4-44-24-44-4-2-424200-22-2224-4-2000000002-20000000000000000000000000000000023−230000000000000
χ694-4-44-24-44-4-2-424200-22-2224-4-2000000002-200000000000000000000000000000000−23230000000000000
χ704-4-44-2-24-42-222-224-41-11-1-22-22000-22-2201-100003i−3i−3i3i0000000001-1003i−3i000000000000000000000000
χ714-4-44-2-24-42-222-224-41-11-1-22-22000-22-2201-10000−3i3i3i−3i0000000001-100−3i3i000000000000000000000000
χ724-4-44-2-24-42-222-22-441-11-1-22-220002-22-201-100003i−3i−3i3i000000000-1100−3i3i000000000000000000000000
χ734-4-44-2-24-42-222-22-441-11-1-22-220002-22-201-10000−3i3i3i−3i000000000-11003i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-480084-8-4-8400-4-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-444-4440022-2-20000000000000026−2600−6−666000000000000000000000000000000000000000
χ7788-8-8-4-400-444-4440022-2-200000000000000−26260066−6−6000000000000000000000000000000000000000
χ788-88-88-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-40044-444-4002-2-2200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ808-88-8-4-40044-444-4002-2-220000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-4-884-444-44002-22-24-44-400000000-2200000000000000000000000000000000000000000000000

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