Finite Group Databasebeta

← Group #11895784

Character table — Group #11895784

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212442466812121212242424242424242422444448812121212666121212246681212121224242424448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-11-111-1-1-1-1-111111111-11-1-11-111111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1111-111-111-1-111111-1-1-1-1-111-1-1111-1-111-1-111-1-1-11
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-11-1-1-1-11111-1-1-1-111-1-11-11-1
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11111-1-1-1111-1111-11-1-11-1-1-1-111-1-1-11-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-11-1-111-1-111111-1
χ7111111111111111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-1-1-1111-1-1-1-1-1-11-111
χ8111111111111111111111111-1-1-1-11-1-11111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1
χ91111111111111111111111-1-11111111111111111111-11-1-111111-1-11111111-111-11-1-1-1-1-111-1-1-1-11-1-1-1
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
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-111-1
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1111-1-1-111-1-111-1-1-111-1-1-1-11111-11
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1111-1-1111111-111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-11-111-1111111-1-11-1-11
χ151111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-1-1-11-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-111-1-1-1-1-1111
χ17222222-2-22222222222-2-2-2-2220000000-2-20000000000-2200-200222200000000000-200-200002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-2-200200-2-22200000000000200-20000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000002200-20022-2-200000000000-20020000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000002-200200-2-2-2-200000000000200200002-2000000
χ2122222-1222-1-1-122-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1-1-1220200222-1-100-1-1-12-1-120-1-10-100000-1-10000-1000
χ2222222-1222-1-1-122-1-1-1-12-12-10022222-1-1-1-122-1-1-1-1-1-1-2-20-200-2-2-21100-1-1-12-1-1-201101000001100001000
χ2322222-1222-1-1-122-1-1-1-12-12-1002-222-211-1-1-2-2111111220-200-2221100-1-1-1-211-20-1-10100000-1-100001000
χ2422222-1222-1-1-122-1-1-1-12-12-1002-222-211-1-1-2-2111111-2-202002-2-2-1-100-1-1-1-21120110-100000110000-1000
χ2522222-1222-1-1-122-1-1-1-12-12-100-22-2-2-2-1-1-1-1-2-21111112202002-2-2-1-1001112-1-1-20-1-10-1000001100001000
χ2622222-1222-1-1-122-1-1-1-12-12-100-22-2-2-2-1-1-1-1-2-2111111-2-20-200-22211001112-1-120110100000-1-10000-1000
χ2722222-1222-1-1-122-1-1-1-12-12-100-2-2-2-2211-1-122-1-1-1-1-1-1220-200-2-2-21100111-21120-1-10100000110000-1000
χ2822222-1222-1-1-122-1-1-1-12-12-100-2-2-2-2211-1-122-1-1-1-1-1-1-2-20200222-1-100111-211-20110-100000-1-100001000
χ292222-1222-1222-1-1-1-1-1-1-12-122222-1-1222-1-1-1-122-1-1-1-100202200000-1-12-1-1-1-1-1020020-1-1-1-1-10000000-100
χ302222-1222-1222-1-1-1-1-1-1-12-12222-2-1-1-2-2-2-1-111-2-2111100202200000-1-12-1-11110-200-20-1-1-1110000000100
χ312222-1222-1222-1-1-1-1-1-1-12-1222-2211-222-1-111-2-211110020-2-200000-1-1-211-1-1-10200-2011-1110000000-100
χ322222-1222-1222-1-1-1-1-1-1-12-1222-2-2112-2-2-1-1-1-122-1-1-1-10020-2-200000-1-1-2111110-2002011-1-1-10000000100
χ332222-1222-1222-1-1-1-1-1-1-12-12-2-222-1-1222-1-1-1-122-1-1-1-100-20-2-200000112-1-1-1-1-10-200-20111110000000100
χ342222-1222-1222-1-1-1-1-1-1-12-12-2-22-2-1-1-2-2-2-1-111-2-2111100-20-2-200000112-1-1111020020111-1-10000000-100
χ352222-1222-1222-1-1-1-1-1-1-12-12-2-2-2211-222-1-111-2-2111100-20220000011-211-1-1-10-20020-1-11-1-10000000100
χ362222-1222-1222-1-1-1-1-1-1-12-12-2-2-2-2112-2-2-1-1-1-122-1-1-1-100-20220000011-2111110200-20-1-11110000000-100
χ3722-2-2222-222-2-2-2-22-22-2-2-222000000000-22000000002-2002i−2i0000000000000002-2002i−2i00000002i−2i0000
χ3822-2-2222-222-2-2-2-22-22-2-2-222000000000-22000000002-200−2i2i0000000000000002-200−2i2i0000000−2i2i0000
χ3922-2-2222-222-2-2-2-22-22-2-2-222000000000-2200000000-22002i−2i000000000000000-22002i−2i0000000−2i2i0000
χ4022-2-2222-222-2-2-2-22-22-2-2-222000000000-2200000000-2200−2i2i000000000000000-2200−2i2i00000002i−2i0000
χ4144444-2-4-44-2-2-244-2-2-2-2-42-420000000002200000000000400-400-2-200000000000002000000000000000
χ4244444-2-4-44-2-2-244-2-2-2-2-42-420000000002200000000000-400400220000000000000-2000000000000000
χ434444-24-4-4-2444-2-2-2-2-2-22-42-4440000000220000000000-400000000-2-2000000000000002000000000000
χ444444-24-4-4-2444-2-2-2-2-2-22-42-4-4-400000002200000000004000000002200000000000000-2000000000000
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
χ4944-4-444-4444-4-4-4-44-44-444-4-40000000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-222-4-4-22-22-424-20000000002-2000000004-40000000000000000000-2200000000000000000
χ5144-4-44-24-44-222-4-4-22-22-424-20000000002-200000000-4400000000000000000002-200000000000000000
χ5244-4-44-2-444-222-4-4-22-224-2-42000000023−23-22000000000000000000000000023−23000000000000000000000
χ5344-4-44-2-444-222-4-4-22-224-2-420000000−2323-220000000000000000000000000−2323000000000000000000000
χ5444-4-4-244-4-24-4-422-22-222-4-240000000002-20000000000004i−4i0000000000000000000−2i2i0000000000000
χ5544-4-4-244-4-24-4-422-22-222-4-240000000002-2000000000000−4i4i00000000000000000002i−2i0000000000000
χ5644-4-4-24-44-24-4-422-22-22-242-40000−2i32i3000-220000000000000000000000−2i32i3000000000000000000000000
χ5744-4-4-24-44-24-4-422-22-22-242-400002i3−2i3000-2200000000000000000000002i3−2i3000000000000000000000000
χ5844-4-4-2-2-44-2-222221-11-1-2-2220000−2i32i3023−231-100003i3i−3i−3i00000000000000i3−i30−33000000000000000000000
χ5944-4-4-2-2-44-2-222221-11-1-2-2220000−2i32i30−23231-10000−3i−3i3i3i00000000000000i3−i303−3000000000000000000000
χ6044-4-4-2-2-44-2-222221-11-1-2-22200002i3−2i3023−231-10000−3i−3i3i3i00000000000000−i3i30−33000000000000000000000
χ6144-4-4-2-2-44-2-222221-11-1-2-22200002i3−2i30−23231-100003i3i−3i−3i00000000000000−i3i303−3000000000000000000000
χ624-44-44400-4-4-44-444-4-4400000000000000000000000000000022−2200000000000000000000022−2200000000
χ634-44-44400-4-4-44-444-4-44000000000000000000000000000000−2222000000000000000000000−222200000000
χ644-44-44-200-422-2-44-222-200000000000000000i6−i6i6−i6i6−i6000000022−22−2i32i30000000000000000000−2200000000
χ654-44-44-200-422-2-44-222-200000000000000000i6−i6i6−i6i6−i60000000−22222i3−2i300000000000000000002−200000000
χ664-44-44-200-422-2-44-222-200000000000000000−i6i6−i6i6−i6i6000000022−222i3−2i30000000000000000000−2200000000
χ674-44-44-200-422-2-44-222-200000000000000000−i6i6−i6i6−i6i60000000−2222−2i32i300000000000000000002−200000000
χ684-4-444400-4-44-44-444-4-400004-400000000000000000000000000004-4000000000000000000000000000
χ694-4-444400-4-44-44-444-4-40000-440000000000000000000000000000-44000000000000000000000000000
χ704-4-44-24002-44-4-22-2-22200004-40000000006−6006−6−6600000000000-220000000000000006−60000000000
χ714-4-44-24002-44-4-22-2-22200004-4000000000−6600−666−600000000000-22000000000000000−660000000000
χ724-4-44-24002-44-4-22-2-2220000-440000000006−6006−6−66000000000002-2000000000000000−660000000000
χ734-4-44-24002-44-4-22-2-2220000-44000000000−6600−666−6000000000002-20000000000000006−60000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-4-444442-22-244-4-4000000000-22000000000000000000000000000000000000000000000000
χ768-88-8-48004-8-884-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400444-44-42-2-22000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ788-88-8-4-400444-44-42-2-2200000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ798-8-888-400-84-448-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-44-4422-2-200000000000000026−2600−666−60000000000000000000000000000000000000000
χ818-8-88-4-40044-44-4422-2-2000000000000000−2626006−6−660000000000000000000000000000000000000000

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