Finite Group Databasebeta

← Group #11889152

Character table — Group #11889152

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212122224668121212122424242424242424222444466881212666121212446668121212242424244488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-111-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111-11-1111111-1-1111-1-1-1-1-1-111-1111-1-111-1-111-1-1-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11111-11-1-1-1111-1-1-1-111-1-11-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111111-1-1-1-11-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-1-1-11-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-11111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-111111111111111111-1-11-1111-1-11111111111-111-1-1-1-111-1-111-1-1-1-1-11-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-1-1111-1-11-1-1-111-1-1-1-11111-11
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-1-11-1-1-1-11-111111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1-1111-1-11111-11111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-11-1111-1-1-1111111-1-1-11-11
χ151111111111111111111111-1-1-1-1-1-11-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000002-2-2002200-2-2000000002000-2000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-2-220022002200000000-2000-20000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000000022-200-2-200-2-200000000200020000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-22200-2-2002200000000-20002000000-22000000
χ2122222-122-12-12-12-1-1-1-12-12-12222-1-1222-1-122-1-1-1-1-1-12202000-1-100002-1-1-1-1-1200-1-12-100-1-1000000-1000
χ2222222-122-12-12-12-1-1-1-12-12-1222-2-1-1-2-2-2-1-1-2-21111112202000-1-100002-1-1111-200-1-1-2-100110000001000
χ2322222-122-12-12-12-1-1-1-12-12-122-2211-222-1-1-2-2111111-2-202000-1-10000-211-1-1-120011-2-10011000000-1000
χ2422222-122-12-12-12-1-1-1-12-12-122-2-2112-2-2-1-122-1-1-1-1-1-1-2-202000-1-10000-211111-200112-100-1-10000001000
χ2522222-122-12-12-12-1-1-1-12-12-1-2-222-1-1222-1-122-1-1-1-1-1-1-2-20-20001100002-1-1-1-1-1-20011-2100110000001000
χ2622222-122-12-12-12-1-1-1-12-12-1-2-22-2-1-1-2-2-2-1-1-2-2111111-2-20-20001100002-1-1111200112100-1-1000000-1000
χ2722222-122-12-12-12-1-1-1-12-12-1-2-2-2211-222-1-1-2-2111111220-2000110000-211-1-1-1-200-1-12100-1-10000001000
χ2822222-122-12-12-12-1-1-1-12-12-1-2-2-2-2112-2-2-1-122-1-1-1-1-1-1220-2000110000-211111200-1-1-210011000000-1000
χ292222-12222-12-12-1-1-1-1-1-12-120022222-1-1-1-1-1-122-1-1-1-100202220022-1-1-1-1-12-1-102-10000-1-100-1-100000-100
χ302222-12222-12-12-1-1-1-1-1-12-120022222-1-1-1-1-1-122-1-1-1-100-20-2-2-200-2-211-1-1-12-1-10-21000011001100000100
χ312222-12222-12-12-1-1-1-1-1-12-12002-222-211-1-111-2-2111100202-2-200-2-2-1-1-1-1-1-21102-1000011001100000-100
χ322222-12222-12-12-1-1-1-1-1-12-12002-222-211-1-111-2-2111100-20-222002211-1-1-1-2110-210000-1-100-1-100000100
χ332222-12222-12-12-1-1-1-1-1-12-1200-22-2-2-2-1-1-1-111-2-21111002022200-2-2-1-11112-1-10-2-10000-1-1001100000100
χ342222-12222-12-12-1-1-1-1-1-12-1200-22-2-2-2-1-1-1-111-2-2111100-20-2-2-20022111112-1-102100001100-1-100000-100
χ352222-12222-12-12-1-1-1-1-1-12-1200-2-2-2-2211-1-1-1-122-1-1-1-100202-2-20022-1-1111-2110-2-100001100-1-100000100
χ362222-12222-12-12-1-1-1-1-1-12-1200-2-2-2-2211-1-1-1-122-1-1-1-100-20-22200-2-211111-2110210000-1-1001100000-100
χ372-22-2222-2-2-2-222-22-22-222-2-2000000000-22000000002-20002i−2i0000000000000002-2002i−2i0000002i−2i0000
χ382-22-2222-2-2-2-222-22-22-222-2-2000000000-22000000002-2000−2i2i0000000000000002-200−2i2i000000−2i2i0000
χ392-22-2222-2-2-2-222-22-22-222-2-2000000000-2200000000-220002i−2i000000000000000-22002i−2i000000−2i2i0000
χ402-22-2222-2-2-2-222-22-22-222-2-2000000000-2200000000-22000−2i2i000000000000000-2200−2i2i0000002i−2i0000
χ4144444-2-4-4-24-24-24-2-2-2-2-42-424400000002200000000000-4000-2-20000000000000000200000000000000
χ4244444-2-4-4-24-24-24-2-2-2-2-42-42-4-4000000022000000000004000220000000000000000-200000000000000
χ434444-24-4-44-24-24-2-2-2-2-22-42-400000000022000000000040-40000002200000000-2000000000000000000
χ444444-24-4-44-24-24-2-2-2-2-22-42-4000000000220000000000-404000000-2-2000000002000000000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-24-2-211-2-2-2-211110000000000000-211-211000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-422112222-1-1-1-10000000000000-2112-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4-2-2112222-1-1-1-100000000000002-1-1-211000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-42242211-2-2-2-2111100000000000002-1-12-1-1000000000000000000000
χ4944-4-44400-444-4-4-44-4-4400000000000000000000000000000000−2i22i20000000000000000000−2i22i200000000
χ5044-4-44400-444-4-4-44-4-44000000000000000000000000000000002i2−2i200000000000000000002i2−2i200000000
χ5144-4-4-2400-4-242-42-222-2000000000000000i6−i600i6i6−i6−i6000000000−2i22i223−2300000000000000000i2−i200000000
χ5244-4-4-2400-4-242-42-222-2000000000000000i6−i600i6i6−i6−i60000000002i2−2i2−232300000000000000000−i2i200000000
χ5344-4-4-2400-4-242-42-222-2000000000000000−i6i600−i6−i6i6i6000000000−2i22i2−232300000000000000000i2−i200000000
χ5444-4-4-2400-4-242-42-222-2000000000000000−i6i600−i6−i6i6i60000000002i2−2i223−2300000000000000000−i2i200000000
χ554-44-444-44-4-4-444-44-44-4-4-4440000000004-4000000000000000000000000000000000000000000000000
χ564-44-44-24-42-424-2-4-22-224-2-420000000002-2000000004-400000000000000000000-220000000000000000
χ574-44-44-24-42-424-2-4-22-224-2-420000000002-200000000-44000000000000000000002-20000000000000000
χ584-44-44-2-442-424-2-4-22-22-424-20000−2i32i3000-220000000000000000000000−2i32i3000000000000000000000000
χ594-44-44-2-442-424-2-4-22-22-424-200002i3−2i3000-2200000000000000000000002i3−2i3000000000000000000000000
χ604-44-4-244-4-42-4-242-22-22-242-40000000002-200000000000004i−4i0000000000000000000−2i2i000000000000
χ614-44-4-244-4-42-4-242-22-22-242-40000000002-20000000000000−4i4i00000000000000000002i−2i000000000000
χ624-44-4-24-44-42-4-242-22-222-4-24000000023−23-22000000000000000000000000023−23000000000000000000000
χ634-44-4-24-44-42-4-242-22-222-4-240000000−2323-220000000000000000000000000−2323000000000000000000000
χ644-44-4-2-2-44222-2-221-11-122-2-20000−2i32i3023−231-100003i−3i3i−3i00000000000000i3−i30−33000000000000000000000
χ654-44-4-2-2-44222-2-221-11-122-2-20000−2i32i30−23231-10000−3i3i−3i3i00000000000000i3−i303−3000000000000000000000
χ664-44-4-2-2-44222-2-221-11-122-2-200002i3−2i3023−231-10000−3i3i−3i3i00000000000000−i3i30−33000000000000000000000
χ674-44-4-2-2-44222-2-221-11-122-2-200002i3−2i30−23231-100003i−3i3i−3i00000000000000−i3i303−3000000000000000000000
χ684-4-4444004-4-4-4-4444-4-400004-40000000000000000000000004-40000000000000000000000000000000
χ694-4-4444004-4-4-4-4444-4-40000-44000000000000000000000000-440000000000000000000000000000000
χ704-4-444-200-2-42-424-2-22200004-4000000000006−66−6−660000000-2200000000000000000006−60000000000
χ714-4-444-200-2-42-424-2-22200004-400000000000−66−666−60000000-220000000000000000000−660000000000
χ724-4-444-200-2-42-424-2-2220000-44000000000006−66−6−6600000002-20000000000000000000−660000000000
χ734-4-444-200-2-42-424-2-2220000-4400000000000−66−666−600000002-200000000000000000006−60000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-40048-4-84-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-4-44442-2-220000000000000002i6−2i600−i6−i6i6i60000000000000000000000000000000000000000
χ7788-8-8-4-4004-4-44442-2-22000000000000000−2i62i600i6i6−i6−i60000000000000000000000000000000000000000
χ788-88-8-4-48-8444-4-442-22-2-4-444000000000-22000000000000000000000000000000000000000000000000
χ798-8-88-480084-84-8-4-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-44444-422-2-20000000000000000026−26−666−60000000000000000000000000000000000000000
χ818-8-88-4-400-44444-422-2-200000000000000000−26266−6−660000000000000000000000000000000000000000

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