Finite Group Databasebeta

← Group #11884018

Character table — Group #11884018

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order12223344666666366612121212222466812121212242424242424242422444446688121266612121222668121212122424242424886644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-111-1-1-1-11111111-11111-1-1-111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1111-111-1-1-1-1-1-111-1-11-11-1
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111-1-11111111-1-1111-1-1-1-1-111-11-111-1-111-1-111-1-1-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-11-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-111111-1-1-11-1-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-1-1-11-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-11111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-11-111
χ91111111111111111111111-1-111111111111111111-1-111-111-1-11111111111-11-1-1-1-1111-1-111-1-1-1-11-1-1-1
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
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-111-1-11-11-1-111-1-1-1-11111-11
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-1-11-1-1-11-1-111111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-1111-1-1111-111111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-11111-1-1-1-1111111-1-11-1-11
χ151111111111111111111111-1-1-1-1-1-11-1-111111111111111-1-1-1-1-11111-1-1-1-1-1-11-111-1-11-1-1-1-111-1-1-1-1-1111
χ161111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000002-2-20022002200000000000-2-2000000-22000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-22-2002200-2-200000000000-220000002-2000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000002-2200-2-20022000000000002-20000002-2000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-22200-2-200-2-20000000000022000000-22000000
χ2122222-122-1-12-122-1-1-1-12-1-122222-1-1222-1-1-1-122-1-1-1-12200200-1-100002-1-1-1-1-120-1-12-1000-1-10000000-100
χ2222222-122-1-12-122-1-1-1-12-1-12222-2-1-1-2-2-2-1-111-2-211112200200-1-100002-1-1111-20-1-1-2-1000110000000100
χ2322222-122-1-12-122-1-1-1-12-1-1222-2211-222-1-111-2-21111-2-200200-1-10000-211-1-1-12011-2-1000110000000-100
χ2422222-122-1-12-122-1-1-1-12-1-1222-2-2112-2-2-1-1-1-122-1-1-1-1-2-200200-1-10000-211111-20112-1000-1-10000000100
χ2522222-122-1-12-122-1-1-1-12-1-12-2-222-1-1222-1-1-1-122-1-1-1-1-2-200-2001100002-1-1-1-1-1-2011-21000110000000100
χ2622222-122-1-12-122-1-1-1-12-1-12-2-22-2-1-1-2-2-2-1-111-2-21111-2-200-2001100002-1-1111201121000-1-10000000-100
χ2722222-122-1-12-122-1-1-1-12-1-12-2-2-2211-222-1-111-2-211112200-200110000-211-1-1-1-20-1-121000-1-10000000100
χ2822222-122-1-12-122-1-1-1-12-1-12-2-2-2-2112-2-2-1-1-1-122-1-1-1-12200-200110000-21111120-1-1-21000110000000-100
χ292222-122222-12-1-1-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-100220220022-1-1-1-1-12-1-1020000-1-1-100-1-10000-1000
χ302222-122222-12-1-1-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-100-2-20-2-200-2-211-1-1-12-1-10-20000111001100001000
χ312222-122222-12-1-1-1-1-1-1-122-1002-222-211-1-1-2-211111100220-2-200-2-2-1-1-1-1-1-211020000-11100110000-1000
χ322222-122222-12-1-1-1-1-1-1-122-1002-222-211-1-1-2-211111100-2-2022002211-1-1-1-2110-200001-1-100-1-100001000
χ332222-122222-12-1-1-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-2111111002202200-2-2-1-11112-1-10-20000-1-1-1001100001000
χ342222-122222-12-1-1-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-211111100-2-20-2-20022111112-1-102000011100-1-10000-1000
χ352222-122222-12-1-1-1-1-1-1-122-100-2-2-2-2211-1-122-1-1-1-1-1-100220-2-20022-1-1111-2110-20000-11100-1-100001000
χ362222-122222-12-1-1-1-1-1-1-122-100-2-2-2-2211-1-122-1-1-1-1-1-100-2-202200-2-211111-2110200001-1-100110000-1000
χ372-2-2222-22-2-2-22-222-22-2-22-22000000000-22000000002-20002-2000000000000002-20002-20000002-20000
χ382-2-2222-22-2-2-22-222-22-2-22-22000000000-22000000002-2000-22000000000000002-2000-22000000-220000
χ392-2-2222-22-2-2-22-222-22-2-22-22000000000-2200000000-220002-200000000000000-220002-2000000-220000
χ402-2-2222-22-2-2-22-222-22-2-22-22000000000-2200000000-22000-2200000000000000-22000-220000002-20000
χ4144444-2-4-4-2-24-244-2-2-2-2-422-444000000022000000000000-400-2-20000000000000002000000000000000
χ4244444-2-4-4-2-24-244-2-2-2-2-422-4-4-400000002200000000000040022000000000000000-2000000000000000
χ434444-24-4-444-24-2-2-2-2-2-22-4-420000000002200000000004-40000000-2-2000000000000200000000000000
χ444444-24-4-444-24-2-2-2-2-2-22-4-42000000000220000000000-44000000022000000000000-200000000000000
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
χ4944-4-444004-44-4-4-444-4-400000000000000000000000000000000−2i22i20000000000000000000−2i22i200000000
χ5044-4-444004-44-4-4-444-4-4000000000000000000000000000000002i2−2i200000000000000000002i2−2i200000000
χ5144-4-4-24004-4-2-422-2-222000000000000000006−666−6−6000000000−2i22i2−2i32i300000000000000000i2−i200000000
χ5244-4-4-24004-4-2-422-2-222000000000000000006−666−6−60000000002i2−2i22i3−2i300000000000000000−i2i200000000
χ5344-4-4-24004-4-2-422-2-22200000000000000000−66−6−666000000000−2i22i22i3−2i300000000000000000i2−i200000000
χ5444-4-4-24004-4-2-422-2-22200000000000000000−66−6−6660000000002i2−2i2−2i32i300000000000000000−i2i200000000
χ554-44-44400-44-4-44-44-4-4400004-40000000000000000000000004-40000000000000000000000000000000
χ564-44-44400-44-4-44-44-4-440000-44000000000000000000000000-440000000000000000000000000000000
χ574-44-44-2002-2-424-4-222-200004-4000000000i6−i600i6−i6i6−i60000000-220000000000000000000i6−i60000000000
χ584-44-44-2002-2-424-4-222-200004-4000000000−i6i600−i6i6−i6i60000000-220000000000000000000−i6i60000000000
χ594-44-44-2002-2-424-4-222-20000-44000000000i6−i600i6−i6i6−i600000002-20000000000000000000−i6i60000000000
χ604-44-44-2002-2-424-4-222-20000-44000000000−i6i600−i6i6−i6i600000002-20000000000000000000i6−i60000000000
χ614-4-44444-4-4-4-44-444-44-44-44-40000000004-4000000000000000000000000000000000000000000000000
χ624-4-444-24-422-4-2-44-22-2242-2-40000−2i32i3000-220000000000000000000000−2i32i3000000000000000000000000
χ634-4-444-24-422-4-2-44-22-2242-2-400002i3−2i3000-2200000000000000000000002i3−2i3000000000000000000000000
χ644-4-444-2-4422-4-2-44-22-22-4-2240000000002-2000000004-40000000000000000000-2200000000000000000
χ654-4-444-2-4422-4-2-44-22-22-4-2240000000002-200000000-4400000000000000000002-200000000000000000
χ664-4-44-244-4-4-4242-2-22-22-2-442000000023−23-22000000000000000000000000023−23000000000000000000000
χ674-4-44-244-4-4-4242-2-22-22-2-4420000000−2323-220000000000000000000000000−2323000000000000000000000
χ684-4-44-24-44-4-4242-2-22-2224-4-20000000002-200000000000004-40000000000000000000-22000000000000
χ694-4-44-24-44-4-4242-2-22-2224-4-20000000002-20000000000000-4400000000000000000002-2000000000000
χ704-4-44-2-24-4222-22-21-11-1-22-220000−2i32i3023−231-100003i−3i−3i3i00000000000000i3−i30−33000000000000000000000
χ714-4-44-2-24-4222-22-21-11-1-22-220000−2i32i30−23231-10000−3i3i3i−3i00000000000000i3−i303−3000000000000000000000
χ724-4-44-2-24-4222-22-21-11-1-22-2200002i3−2i3023−231-10000−3i3i3i−3i00000000000000−i3i30−33000000000000000000000
χ734-4-44-2-24-4222-22-21-11-1-22-2200002i3−2i30−23231-100003i−3i−3i3i00000000000000−i3i303−3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-88-400-4484-8-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-44-444422-2-20000000000000000026−26−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-400-44-444422-2-200000000000000000−262666−6−60000000000000000000000000000000000000000
χ788-88-8-4800-884-8-44-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-444-442-2-220000000000000002i6−2i600−i6i6−i6i60000000000000000000000000000000000000000
χ808-88-8-4-4004-444-442-2-22000000000000000−2i62i600i6−i6i6−i60000000000000000000000000000000000000000
χ818-8-88-4-4-88444-44-42-22-24-44-4000000000-22000000000000000000000000000000000000000000000000

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