Finite Group Databasebeta

← Group #11895900

Character table — Group #11895900

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212444481212121212122424242424242424224444488121212121212121212124466812121212242424244488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1111-1-1-1-11111-1-1-1-111-1-11-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1111-1-1-11111-1-1-11-1-1-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1111-1-1-1111-111-1-1-1-1-1-111-1-1-11-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111-1111-1-1-1-111-11-111-1-111-1-111-1-11-1
χ7111111111111111111111111-1-11-1-1-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-11-1-1-1-11111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-111111111111111111-1-1-111111111-1-1111111-11-1-1-1-1111-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-11111-1-111-1-11-1-1-111-1-1111-111111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-1-1-111-11111-1-1-1-1111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-111-1-11-11-1-111-1-1-1-111111-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11-1-1-11-1-111111111-1-11-1-11
χ151111111111111111111111-1-1-1-11-1-1-1-1111111111111-111-1-11111-1-1-1-1-1-1-1-11-111-1-11-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-20000000000-22-20000222200000000000-2-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-2-220000-2-22200000000000-22000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000000022-2000022-2-2000000000002-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-200000000002-220000-2-2-2-200000000000220000002-2000000
χ2122222-12222-1-1-12-1-1-1-12-12-12222222-1-1-1-122-1-1-1-1-1-122200000000-1-1-12-1-1-1-120-1-12-1000-1-1000000-1000
χ2222222-12222-1-1-12-1-1-1-12-12-1222-2-22211-1-1-2-2111111-2-2200000000-1-1-1-211-1-12011-2-100011000000-1000
χ2322222-12222-1-1-12-1-1-1-12-12-122-22-2-2-2-1-1-1-1-2-211111122200000000-1-112-1-111-20-1-1-2-1000110000001000
χ2422222-12222-1-1-12-1-1-1-12-12-122-2-22-2-211-1-122-1-1-1-1-1-1-2-2200000000-1-11-21111-20112-1000-1-10000001000
χ2522222-12222-1-1-12-1-1-1-12-12-1-2-222222-1-1-1-122-1-1-1-1-1-1-2-2-20000000011-12-1-1-1-1-2011-21000110000001000
χ2622222-12222-1-1-12-1-1-1-12-12-1-2-22-2-22211-1-1-2-211111122-20000000011-1-211-1-1-20-1-121000-1-10000001000
χ2722222-12222-1-1-12-1-1-1-12-12-1-2-2-22-2-2-2-1-1-1-1-2-2111111-2-2-2000000001112-1-111201121000-1-1000000-1000
χ2822222-12222-1-1-12-1-1-1-12-12-1-2-2-2-22-2-211-1-122-1-1-1-1-1-122-200000000111-2111120-1-1-2100011000000-1000
χ292222-1222-1-1222-1-1-1-1-1-12-1200222-1-122-1-1-1-122-1-1-1-1000222222-1-1002-1-1-1-1-1020000-1-1-100-1-100000-100
χ302222-1222-1-1222-1-1-1-1-1-12-1200222-1-122-1-1-1-122-1-1-1-1000-2-2-2-2-2-211002-1-1-1-1-10-20000111001100000100
χ312222-1222-1-1222-1-1-1-1-1-12-12002-2-2-1-1-2-2-1-111-2-211110002222-2-2-1-1002111-1-10-20000-1-1-1001100000100
χ322222-1222-1-1222-1-1-1-1-1-12-12002-2-2-1-1-2-2-1-111-2-21111000-2-2-2-22211002111-1-102000011100-1-100000-100
χ332222-1222-1-1222-1-1-1-1-1-12-1200-22-21122-1-111-2-2111100022-2-2-2-2-1-100-2-1-1-111020000-111001100000-100
χ342222-1222-1-1222-1-1-1-1-1-12-1200-22-21122-1-111-2-21111000-2-222221100-2-1-1-1110-200001-1-100-1-100000100
χ352222-1222-1-1222-1-1-1-1-1-12-1200-2-2211-2-2-1-1-1-122-1-1-1-100022-2-222-1-100-2111110-20000-11100-1-100000100
χ362222-1222-1-1222-1-1-1-1-1-12-1200-2-2211-2-2-1-1-1-122-1-1-1-1000-2-222-2-21100-2111110200001-1-1001100000-100
χ3722-2-2222-22-2-2-22-22-2-22-2-222000000000-22000000002-20002i−2i000000000000002-20002i−2i0000002i−2i0000
χ3822-2-2222-22-2-2-22-22-2-22-2-222000000000-22000000002-2000−2i2i000000000000002-2000−2i2i000000−2i2i0000
χ3922-2-2222-22-2-2-22-22-2-22-2-222000000000-2200000000-220002i−2i00000000000000-220002i−2i000000−2i2i0000
χ4022-2-2222-22-2-2-22-22-2-22-2-222000000000-2200000000-22000−2i2i00000000000000-22000−2i2i0000002i−2i0000
χ4144444-2-4-444-2-2-24-2-2-2-2-42-42440000000220000000000-400000000-2-2000000000002000000000000000
χ4244444-2-4-444-2-2-24-2-2-2-2-42-42-4-400000002200000000004000000002200000000000-2000000000000000
χ434444-24-4-4-2-2444-2-2-2-2-22-42-400000000022000000000004-40000-2-200000000000000200000000000000
χ444444-24-4-4-2-2444-2-2-2-2-22-42-40000000002200000000000-4400002200000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-10000000000000-22-1-111000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-100000000000002-211-1-1000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-444-444-4-4-44-44-4-4444-4-40000000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-422-2-4-222-2-424-20000000002-2000000004-40000000000000000000-2200000000000000000
χ5144-4-44-24-44-422-2-4-222-2-424-20000000002-200000000-4400000000000000000002-200000000000000000
χ5244-4-44-2-444-422-2-4-222-24-2-42000000023−23-220000000000000000000000023−2300000000000000000000000
χ5344-4-44-2-444-422-2-4-222-24-2-420000000−2323-2200000000000000000000000−232300000000000000000000000
χ5444-4-4-244-4-22-4-442-222-22-4-240000000002-200000000000004i−4i0000000000000000000−2i2i000000000000
χ5544-4-4-244-4-22-4-442-222-22-4-240000000002-20000000000000−4i4i00000000000000000002i−2i000000000000
χ5644-4-4-24-44-22-4-442-222-2-242-400000−2i32i300-220000000000000000000000000−2i32i3000000000000000000000
χ5744-4-4-24-44-22-4-442-222-2-242-4000002i3−2i300-2200000000000000000000000002i3−2i3000000000000000000000
χ5844-4-4-2-2-44-2222-221-1-11-2-22200000−2i32i323−231-100003i3i−3i−3i000000000000000−33i3−i3000000000000000000000
χ5944-4-4-2-2-44-2222-221-1-11-2-22200000−2i32i3−23231-10000−3i−3i3i3i0000000000000003−3i3−i3000000000000000000000
χ6044-4-4-2-2-44-2222-221-1-11-2-222000002i3−2i323−231-10000−3i−3i3i3i000000000000000−33−i3i3000000000000000000000
χ6144-4-4-2-2-44-2222-221-1-11-2-222000002i3−2i3−23231-100003i3i−3i−3i0000000000000003−3−i3i3000000000000000000000
χ624-44-44400-444-4-4-444-4-400000000000000000000000000000022−2200000000000000000000022−2200000000
χ634-44-44400-444-4-4-444-4-4000000000000000000000000000000−2222000000000000000000000−222200000000
χ644-44-4-24002-24-4-42-2-222000000000000000i6−i600i6−i6i6−i6000000022−22−2i32i30000000000000000000−2200000000
χ654-44-4-24002-24-4-42-2-222000000000000000i6−i600i6−i6i6−i60000000−22222i3−2i300000000000000000002−200000000
χ664-44-4-24002-24-4-42-2-222000000000000000−i6i600−i6i6−i6i6000000022−222i3−2i30000000000000000000−2200000000
χ674-44-4-24002-24-4-42-2-222000000000000000−i6i600−i6i6−i6i60000000−2222−2i32i300000000000000000002−200000000
χ684-4-444400-4-4-44-444-44-400004-400000000000000000000000000004-4000000000000000000000000000
χ694-4-444400-4-4-44-444-44-40000-440000000000000000000000000000-44000000000000000000000000000
χ704-4-444-200-4-42-224-22-2200004-4000000000006−66−6−6600000000000-220000000000000006−60000000000
χ714-4-444-200-4-42-224-22-2200004-400000000000−66−666−600000000000-22000000000000000−660000000000
χ724-4-444-200-4-42-224-22-220000-44000000000006−66−6−66000000000002-2000000000000000−660000000000
χ734-4-444-200-4-42-224-22-220000-4400000000000−66−666−6000000000002-20000000000000006−60000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-48-8-4444-442-2-2244-4-4000000000-22000000000000000000000000000000000000000000000000
χ768-88-88-400-88-444-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-4004-4-444422-2-20000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ788-88-8-4-4004-4-444422-2-2000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ798-8-88-480044-88-8-4-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-44-42-22-20000000000000000026−26−666−60000000000000000000000000000000000000000
χ818-8-88-4-400444-44-42-22-200000000000000000−26266−6−660000000000000000000000000000000000000000

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