Finite Group Databasebeta

← Group #11889234

Character table — Group #11889234

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order12223344666666223666121212124446666812122424242424242424224668812126612121212244466681212122424242444448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-111111111-111-11-1-11-11111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-11111-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1111-1111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-11111-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-11-111-1-1-1-111-1-111-1-11111-11-1
χ5111111111111111111111111-1-11111111111111111-1111111-1-11111111-1-11-111-11-1-1-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-1-11111-1-111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-11-1-1-1111111-1-1-1-1111
χ911111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1111-1-1-11-1-1-1-1-1-11111-1-111-1
χ1011111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-111111-11-1111-1-1-1-1-1-111-1-1-1-1111-11
χ1111111111111111-1-11111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-111-1-1-1
χ1211111111111111-1-11111111111-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-111111-1-1-111-1-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11-1-1-1111111-1-1-1-1-1-111-111
χ1411111111111111-1-111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1111-11111111111-1-1-1-1-1
χ1511111111111111-1-111111111-1-1-1-1-1-1-111111111111-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-11-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-111-1-11111-1
χ17222222-2-2222222002222-2-2-2-222000000-2-200000000-22-22200220000000000-2000-2000000-220000000
χ18222222-2-2222222002222-2-2-2-222000000-2-200000000-2-22-2-200220000000000-200020000002-20000000
χ19222222-2-2222222002222-2-2-2-2-2-2000000-2-20000000022-22200-2-200000000002000-20000002-20000000
χ20222222-2-2222222002222-2-2-2-2-2-2000000-2-2000000002-22-2-200-2-2000000000020002000000-220000000
χ2122222-1222-12-1-1222-1-1-1-1-12-1200222-1-12-1-122-1-1-1-1-1-1022-1-12200-1-1-12-1-120020-1-10-10000-1-10000000-10
χ2222222-1222-12-1-1222-1-1-1-1-12-1200222-1-12-1-122-1-1-1-1-1-10-2-211-2-200-1-1-12-1-1-200-201101000011000000010
χ2322222-1222-12-1-1222-1-1-1-1-12-1200-222-1-1-2-1-1-2-2111111022-1-1-2-200-1-11-211200-20-1-10-1000011000000010
χ2422222-1222-12-1-1222-1-1-1-1-12-1200-222-1-1-2-1-1-2-21111110-2-2112200-1-11-211-2002011010000-1-10000000-10
χ2522222-1222-12-1-12-2-2-1-1-1-1-12-12002-2-211-2-1-1-2-2111111022-1-1-2-20011-12-1-1-20020110-10000110000000-10
χ2622222-1222-12-1-12-2-2-1-1-1-1-12-12002-2-211-2-1-1-2-21111110-2-211220011-12-1-1200-20-1-1010000-1-1000000010
χ2722222-1222-12-1-12-2-2-1-1-1-1-12-1200-2-2-2112-1-122-1-1-1-1-1-1022-1-12200111-211-200-20110-10000-1-1000000010
χ2822222-1222-12-1-12-2-2-1-1-1-1-12-1200-2-2-2112-1-122-1-1-1-1-1-10-2-211-2-200111-21120020-1-1010000110000000-10
χ292222-1222-12-122-122-1-1-1-12-12-1222-1-1222-1-1-1-122-1-1-1-12000000-1-1-1-12-1-1-10220-10020-1-1-1-100000000-100
χ302222-1222-12-122-122-1-1-1-12-12-122-2-1-122-2-1-111-2-211112000000-1-1-1-1-211102-20-100-20-1-11100000000100
χ312222-1222-12-122-122-1-1-1-12-12-1-2-22-1-1222-1-1-1-122-1-1-1-1-200000011-1-12-1-1-10-2-20100-20111100000000100
χ322222-1222-12-122-122-1-1-1-12-12-1-2-2-2-1-122-2-1-111-2-21111-200000011-1-1-21110-2201002011-1-100000000-100
χ332222-1222-12-122-1-2-2-1-1-1-12-12-122211-2-2-2-1-111-2-211112000000-1-1112-1-1-10-220-100-20111100000000-100
χ342222-1222-12-122-1-2-2-1-1-1-12-12-122-211-2-22-1-1-1-122-1-1-1-12000000-1-111-21110-2-20-1002011-1-100000000100
χ352222-1222-12-122-1-2-2-1-1-1-12-12-1-2-2211-2-2-2-1-111-2-21111-200000011112-1-1-102-2010020-1-1-1-100000000100
χ362222-1222-12-122-1-2-2-1-1-1-12-12-1-2-2-211-2-22-1-1-1-122-1-1-1-1-20000001111-21110220100-20-1-11100000000-100
χ3722-2-2222-2-2-2-22-222-22-2-2222-2-20002-22-20-22000000000000000002-20000000000000000000002i−2i2i−2i000
χ3822-2-2222-2-2-2-22-222-22-2-2222-2-20002-22-20-22000000000000000002-2000000000000000000000−2i2i−2i2i000
χ3922-2-2222-2-2-2-22-22-222-2-2222-2-2000-22-220-2200000000000000000-220000000000000000000002i−2i−2i2i000
χ4022-2-2222-2-2-2-22-22-222-2-2222-2-2000-22-220-2200000000000000000-22000000000000000000000−2i2i2i−2i000
χ4144444-2-4-44-24-2-2400-2-2-2-22-42-400000000220000000004-4-2-20000000000000000002000000000000000
χ4244444-2-4-44-24-2-2400-2-2-2-22-42-40000000022000000000-4422000000000000000000-2000000000000000
χ434444-24-4-4-24-244-200-2-2-2-2-42-42440000002200000000-4000000-2-2000000000020000000000000000000
χ444444-24-4-4-24-244-200-2-2-2-2-42-42-4-400000022000000004000000220000000000-20000000000000000000
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
χ4944-4-444-44-4-4-44-44004-4-44-4-444000000004-400000000000000000000000000000000000000000000000
χ5044-4-44-24-4-42-4-2244-4-222-2-242-40004-4-2202-200000000000000000-220000000000000000000000000000
χ5144-4-44-24-4-42-4-224-44-222-2-242-4000-442-202-2000000000000000002-20000000000000000000000000000
χ5244-4-44-2-44-42-4-22400-222-22-4-2400000000-220000000000000000000000000000−2i32i300000000000000000
χ5344-4-44-2-44-42-4-22400-222-22-4-2400000000-2200000000000000000000000000002i3−2i300000000000000000
χ5444-4-4-244-42-424-4-24-4-222-24-2-42000-224-402-200000000000000000-220000000000000000000000000000
χ5544-4-4-244-42-424-4-2-44-222-24-2-420002-2-4402-2000000000000000002-20000000000000000000000000000
χ5644-4-4-24-442-424-4-200-222-2-424-200000000-2200000000000000000000000000000000−2i32i30000000000000
χ5744-4-4-24-442-424-4-200-222-2-424-200000000-22000000000000000000000000000000002i3−2i30000000000000
χ5844-4-4-2-24-4222-22-24-41-1-11-2-222000-22-220-11000033-3-30000000001-1003-3000000000000000000000000
χ5944-4-4-2-24-4222-22-24-41-1-11-2-222000-22-220-110000-3-3330000000001-100-33000000000000000000000000
χ6044-4-4-2-24-4222-22-2-441-1-11-2-2220002-22-20-11000033-3-3000000000-1100-33000000000000000000000000
χ6144-4-4-2-24-4222-22-2-441-1-11-2-2220002-22-20-110000-3-333000000000-11003-3000000000000000000000000
χ624-44-44400-4-44-44-40044-4-400004i−4i000000000000000000000004i−4i000000000000000000000000000000
χ634-44-44400-4-44-44-40044-4-40000−4i4i00000000000000000000000−4i4i000000000000000000000000000000
χ644-44-4-24002-4-2-44200-2-22200004i−4i000000006−6006−66−60000000−2i2i00000000000000000i6−i600000000000
χ654-44-4-24002-4-2-44200-2-22200004i−4i00000000−6600−66−660000000−2i2i00000000000000000−i6i600000000000
χ664-44-4-24002-4-2-44200-2-2220000−4i4i000000006−6006−66−600000002i−2i00000000000000000−i6i600000000000
χ674-44-4-24002-4-2-44200-2-2220000−4i4i00000000−6600−66−6600000002i−2i00000000000000000i6−i600000000000
χ684-4-44440044-4-4-4-4004-44-4000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ694-4-44440044-4-4-4-4004-44-40000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ704-4-444-2004-2-422-400-22-2200000000000000006−66−6−66000−2i32i3−2i22i2000000000000000000000i2−i2000000000
χ714-4-444-2004-2-422-400-22-2200000000000000006−66−6−660002i3−2i32i2−2i2000000000000000000000−i2i2000000000
χ724-4-444-2004-2-422-400-22-220000000000000000−66−666−6000−2i32i32i2−2i2000000000000000000000−i2i2000000000
χ734-4-444-2004-2-422-400-22-220000000000000000−66−666−60002i3−2i3−2i22i2000000000000000000000i2−i2000000000
χ748888-4-4-8-8-4-4-4-4-4-4002222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88444-44-4002-2-2244-4-4000000002-200000000000000000000000000000000000000000000000
χ768-88-88-400-8484-4-800-4-4440000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-40044-44-440022-2-20000000000000026−2600−66−66000000000000000000000000000000000000000
χ788-88-8-4-40044-44-440022-2-200000000000000−2626006−66−6000000000000000000000000000000000000000
χ798-8-88-4800-484-8-8400-44-440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-4-44444002-22-2000000000000000026−26−666−6000000000000000000000000000000000000000
χ818-8-88-4-400-4-44444002-22-20000000000000000−26266−6−66000000000000000000000000000000000000000

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