Finite Group Databasebeta

← Group #11889267

Character table — Group #11889267

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212124424668121212122424242424242424222244466881212666121212446668121212242424244488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1111111111-11-1-11-11111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-111111-1-1-11-1111-11-1-1-1-1-1-111-1-1-11-11
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1111-1-1-1-1-1-1-1-111-1-111111-1
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-111-1-1-11111-1-1-1111-1-1111-1-111-1-111-1-111-1-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1111-111-1-1-1111-1-1-1-111-1-11-11-1
χ7111111111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-11-111
χ8111111111111111111111111-1-1-1-11-1-111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111-1111-1-111111-1-1111111-11-111-11-1-1-1-111-1-1-1-11-1-1-1
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
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-111-1-11-1
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-1-1-11-1-1-11-111111111-1-11-1-11
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-1111-1-1-1111111-1-1-111-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111111-1-1-111-1-111-1-1-1-11111-11
χ151111111111111111111111-1-1-1-1-1-11-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-1-1-11-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-111-1-1-1-1-1111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-200200-222002200000000-2000-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-200-2002-2-2002200000000-20002000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200200-22200-2-2000000002000-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200-2002-2-200-2-200000000200020000002-2000000
χ2122222-122-12-12-12-1-1-1-12-12-10022-1-1222-1-122-1-1-1-1-1-10222002-1-122002-1-1-1-1-1020-1-10-10000-1-10000-1000
χ2222222-122-12-12-12-1-1-1-12-12-10022-1-1222-1-122-1-1-1-1-1-10-2-2-200-211-2-2002-1-1-1-1-10-20110100001100001000
χ2322222-122-12-12-12-1-1-1-12-12-1002-2-1-1-2-2-2-1-1-2-21111110222002-1-1-2-2002-1-11110-20-1-10-100001100001000
χ2422222-122-12-12-12-1-1-1-12-12-1002-2-1-1-2-2-2-1-1-2-21111110-2-2-200-21122002-1-111102011010000-1-10000-1000
χ2522222-122-12-12-12-1-1-1-12-12-100-2211-222-1-1-2-2111111022-200-2112200-211-1-1-10-20-1-1010000-1-100001000
χ2622222-122-12-12-12-1-1-1-12-12-100-2211-222-1-1-2-21111110-2-22002-1-1-2-200-211-1-1-1020110-10000110000-1000
χ2722222-122-12-12-12-1-1-1-12-12-100-2-2112-2-2-1-122-1-1-1-1-1-1022-200-211-2-200-211111020-1-1010000110000-1000
χ2822222-122-12-12-12-1-1-1-12-12-100-2-2112-2-2-1-122-1-1-1-1-1-10-2-22002-1-12200-2111110-20110-10000-1-100001000
χ292222-12222-12-12-1-1-1-1-1-12-122222222-1-1-1-1-1-122-1-1-1-120002200000-1-1-1-1-12-1-120-10020-1-1-1-10000000-100
χ302222-12222-12-12-1-1-1-1-1-12-12222-222-211-1-111-2-211112000-2-200000-1-1-1-1-1-21120-100-2011110000000-100
χ312222-12222-12-12-1-1-1-1-1-12-1222-22-2-2-2-1-1-1-111-2-2111120002200000-1-11112-1-1-20-100-20-1-1110000000100
χ322222-12222-12-12-1-1-1-1-1-12-1222-2-2-2-2211-1-1-1-122-1-1-1-12000-2-200000-1-1111-211-20-1002011-1-10000000100
χ332222-12222-12-12-1-1-1-1-1-12-12-2-222222-1-1-1-1-1-122-1-1-1-1-2000-2-20000011-1-1-12-1-1-20100-2011110000000100
χ342222-12222-12-12-1-1-1-1-1-12-12-2-22-222-211-1-111-2-21111-2000220000011-1-1-1-211-2010020-1-1-1-10000000100
χ352222-12222-12-12-1-1-1-1-1-12-12-2-2-22-2-2-2-1-1-1-111-2-21111-2000-2-200000111112-1-1201002011-1-10000000-100
χ362222-12222-12-12-1-1-1-1-1-12-12-2-2-2-2-2-2211-1-1-1-122-1-1-1-1-2000220000011111-21120100-20-1-1110000000-100
χ372-2-22222-2-2-2-222-22-22-222-2-2000000000-220000000002-202i−2i00000000000000002-2002i−2i0000002i−2i0000
χ382-2-22222-2-2-2-222-22-22-222-2-2000000000-220000000002-20−2i2i00000000000000002-200−2i2i000000−2i2i0000
χ392-2-22222-2-2-2-222-22-22-222-2-2000000000-22000000000-2202i−2i0000000000000000-22002i−2i000000−2i2i0000
χ402-2-22222-2-2-2-222-22-22-222-2-2000000000-22000000000-220−2i2i0000000000000000-2200−2i2i0000002i−2i0000
χ4144444-2-4-4-24-24-24-2-2-2-2-42-420000000002200000000000400-4-2-20000000000000000200000000000000
χ4244444-2-4-4-24-24-24-2-2-2-2-42-420000000002200000000000-4004220000000000000000-200000000000000
χ434444-24-4-44-24-24-2-2-2-2-22-42-44400000002200000000-40000000000-2-2000000002000000000000000000
χ444444-24-4-44-24-24-2-2-2-2-22-42-4-4-400000002200000000400000000002200000000-2000000000000000000
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
χ4944-4-444004-4-4-4-4444-4-400000000000000000000000000000000−2i22i20000000000000000000−2i22i200000000
χ5044-4-444004-4-4-4-4444-4-4000000000000000000000000000000002i2−2i200000000000000000002i2−2i200000000
χ5144-4-44-200-2-42-424-2-222000000000000000006−666−6−60000000−2i32i3−2i22i20000000000000000000i2−i200000000
χ5244-4-44-200-2-42-424-2-222000000000000000006−666−6−600000002i3−2i32i2−2i20000000000000000000−i2i200000000
χ5344-4-44-200-2-42-424-2-22200000000000000000−66−6−6660000000−2i32i32i2−2i20000000000000000000−i2i200000000
χ5444-4-44-200-2-42-424-2-22200000000000000000−66−6−66600000002i3−2i3−2i22i20000000000000000000i2−i200000000
χ554-44-44400-444-4-4-44-4-4400004i−4i00000000000000000000000000004i−4i000000000000000000000000000
χ564-44-44400-444-4-4-44-4-440000−4i4i0000000000000000000000000000−4i4i000000000000000000000000000
χ574-44-4-2400-4-242-42-222-200004i−4i000000000i6−i600i6−i6i6−i600000000000−2i2i0000000000000006−60000000000
χ584-44-4-2400-4-242-42-222-200004i−4i000000000−i6i600−i6i6−i6i600000000000−2i2i000000000000000−660000000000
χ594-44-4-2400-4-242-42-222-20000−4i4i000000000i6−i600i6−i6i6−i6000000000002i−2i000000000000000−660000000000
χ604-44-4-2400-4-242-42-222-20000−4i4i000000000−i6i600−i6i6−i6i6000000000002i−2i0000000000000006−60000000000
χ614-4-4444-44-4-4-444-44-44-4-4-4440000000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-42-424-2-4-22-224-2-420000000002-20000000004-40000000000000000000-220000000000000000
χ634-4-444-24-42-424-2-4-22-224-2-420000000002-2000000000-4400000000000000000002-20000000000000000
χ644-4-444-2-442-424-2-4-22-22-424-20000−2i32i3000-220000000000000000000000−2i32i3000000000000000000000000
χ654-4-444-2-442-424-2-4-22-22-424-200002i3−2i3000-2200000000000000000000002i3−2i3000000000000000000000000
χ664-4-44-244-4-42-4-242-22-22-242-40000000002-20000000000004i−4i00000000000000000000−2i2i000000000000
χ674-4-44-244-4-42-4-242-22-22-242-40000000002-2000000000000−4i4i000000000000000000002i−2i000000000000
χ684-4-44-24-44-42-4-242-22-222-4-24000000023−23-22000000000000000000000000023−23000000000000000000000
χ694-4-44-24-44-42-4-242-22-222-4-240000000−2323-220000000000000000000000000−2323000000000000000000000
χ704-4-44-2-2-44222-2-221-11-122-2-20000−2i32i3023−231-100003i−3i−3i3i00000000000000i3−i30−33000000000000000000000
χ714-4-44-2-2-44222-2-221-11-122-2-20000−2i32i30−23231-10000−3i3i3i−3i00000000000000i3−i303−3000000000000000000000
χ724-4-44-2-2-44222-2-221-11-122-2-200002i3−2i3023−231-10000−3i3i3i−3i00000000000000−i3i30−33000000000000000000000
χ734-4-44-2-2-44222-2-221-11-122-2-200002i3−2i30−23231-100003i−3i−3i3i00000000000000−i3i303−3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-480084-84-8-4-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-44444-422-2-20000000000000000026−26−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-400-44444-422-2-200000000000000000−262666−6−60000000000000000000000000000000000000000
χ788-88-88-40048-4-84-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-4-44442-2-220000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004-4-44442-2-22000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-48-8444-4-442-22-2-4-444000000000-22000000000000000000000000000000000000000000000000

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