Finite Group Databasebeta

← Group #11895783

Character table — Group #11895783

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444448888888888888881212121212121212121212121616161616161618182424242424242424242424243636364848487272
order12223344666666366612121212248121212122424242424242424224444888812126666121212442246612121224242424444661248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-11-1-1-111111111111-1-11-1-1111-1-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111-1-1-11-1111-1-1-1-11111111-1-1-111-1-1-11111-1-1-1-1-11-11-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-1-1-1-1-11-111-111-1-111-1-1-11-1-111
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1-1111-1-1-11111111-1-11-1-1
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1111-1-1-1-111111-1-1-1
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-11-11-1-11-1-111-1-1-1-1-1-11111
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1111111-1-1-1-11-1-1-1-111-1
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-1111-11-111-1-111-1-1-1-1111-1-1-11-1111-1-111-1-1-1111-1-1-11
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1111-1-11-11-1-1-111-1-111-111-111-11
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-1-111111-1-111-11-1
χ131111111111111111111111-1-11-1-1111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11111-1-1-111-11-11-1
χ141111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11-1-1111-11
χ151111111111111111111111-1-11-1-11111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11
χ161111111111111111111111-1-11-1-11111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1111-111-1
χ17222222-2-22222222222-2-2-2-200000-2-2000000000022-2-200002200000002200000-22-20000-20000000
χ18222222-2-22222222222-2-2-2-200000-2-200000000002-2-220000220000000-2-200000-2-22000020000000
χ19222222-2-22222222222-2-2-2-200000-2-20000000000-222-20000-2-20000000-2-20000022-2000020000000
χ20222222-2-22222222222-2-2-2-200000-2-20000000000-2-2220000-2-2000000022000002-220000-20000000
χ2122222-1222-1-12-12-1-1-1-1-122-1222-1-1-1-122-1-1-1-1-1-12220200022-1-12-1-1-12-1-100200-1-1-10000-1-10000-1000
χ2222222-1222-1-12-12-1-1-1-1-122-1222-1-1-1-122-1-1-1-1-1-1-2-2-20-2000-2-2112-1-1-12-1-100-20011100001100001000
χ2322222-1222-1-12-12-1-1-1-1-122-12-2-211-1-1-2-211111122-20-200022112-1-1-1-21100-200-1-110000-1-100001000
χ2422222-1222-1-12-12-1-1-1-1-122-12-2-211-1-1-2-2111111-2-2202000-2-2-1-12-1-1-1-2110020011-10000110000-1000
χ2522222-1222-1-12-12-1-1-1-1-122-1-22-2-1-1-1-1-2-211111122202000-2-2-1-1-21112-1-100-200-1-1-100001100001000
χ2622222-1222-1-12-12-1-1-1-1-122-1-22-2-1-1-1-1-2-2111111-2-2-20-20002211-21112-1-1002001110000-1-10000-1000
χ2722222-1222-1-12-12-1-1-1-1-122-1-2-2211-1-122-1-1-1-1-1-122-20-2000-2-211-2111-21100200-1-110000110000-1000
χ2822222-1222-1-12-12-1-1-1-1-122-1-2-2211-1-122-1-1-1-1-1-1-2-220200022-1-1-2111-21100-20011-10000-1-100001000
χ292222-1222-122-12-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1000202220000-12-1-1-1-1-100022000-1-1-1-100000-10-100
χ302222-1222-122-12-1-1-1-1-12-1-1222222-1-1-1-122-1-1-1-1000-20-2-2-20000-12-1-1-1-1-1000-2-200011110000010100
χ312222-1222-122-12-1-1-1-1-12-1-122-2-2-2-2-1-111-2-21111000202-2-20000-12-1-11110002-2000-1-11100000-10100
χ322222-1222-122-12-1-1-1-1-12-1-122-2-2-2-2-1-111-2-21111000-20-2220000-12-1-1111000-2200011-1-10000010-100
χ332222-1222-122-12-1-1-1-1-12-1-12-22-222-1-111-2-21111000202-2-200001-211-1-1-1000-22000-1-1110000010-100
χ342222-1222-122-12-1-1-1-1-12-1-12-22-222-1-111-2-21111000-20-22200001-211-1-1-10002-200011-1-100000-10100
χ352222-1222-122-12-1-1-1-1-12-1-12-2-22-2-2-1-1-1-122-1-1-1-10002022200001-211111000-2-2000-1-1-1-10000010100
χ362222-1222-122-12-1-1-1-1-12-1-12-2-22-2-2-1-1-1-122-1-1-1-1000-20-2-2-200001-21111100022000111100000-10-100
χ3722-2-222-2222-2-2-2-22-22-2-22-2200000-22000000002-200002i−2i00000000000000002-20002i−2i0002i−2i00000
χ3822-2-222-2222-2-2-2-22-22-2-22-2200000-22000000002-20000−2i2i00000000000000002-2000−2i2i000−2i2i00000
χ3922-2-222-2222-2-2-2-22-22-2-22-2200000-2200000000-2200002i−2i0000000000000000-220002i−2i000−2i2i00000
χ4022-2-222-2222-2-2-2-22-22-2-22-2200000-2200000000-220000−2i2i0000000000000000-22000−2i2i0002i−2i00000
χ4144444-2-4-44-2-24-24-2-2-2-22-4-420000022000000000040-400000-2-200000000000000200000000000000
χ4244444-2-4-44-2-24-24-2-2-2-22-4-4200000220000000000-404000002200000000000000-200000000000000
χ434444-24-4-4-244-24-2-2-2-2-2-422-400000220000000000040-4000000000000000000000-22000000000000
χ444444-24-4-4-244-24-2-2-2-2-2-422-4000002200000000000-4040000000000000000000002-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-21111000000000000-2-211-2110000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-1000000000000-2-2112-1-10000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-100000000000022-1-1-2110000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-2111100000000000022-1-12-1-10000000000000000000000
χ4944-4-4444-444-4-4-4-44-44-44-44-4000004-40000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-42-4-22-22-2-44200023−23-22000000000000000000000000023−230000000000000000000000
χ5144-4-44-24-44-22-42-4-22-22-2-442000−2323-220000000000000000000000000−23230000000000000000000000
χ5244-4-44-2-444-22-42-4-22-2224-4-2000002-2000000004-40000000000000000000000-22000000000000000
χ5344-4-44-2-444-22-42-4-22-2224-4-2000002-200000000-4400000000000000000000002-2000000000000000
χ5444-4-4-244-4-24-42-42-22-2242-2-400000-2223−23002323−23−2300000000000000000000000000000000000000000
χ5544-4-4-244-4-24-42-42-22-2242-2-400000-22−232300−23−23232300000000000000000000000000000000000000000
χ5644-4-4-24-44-24-42-42-22-22-4-224000002-2000000000000004i−4i000000000000000000000−2i2i0000000000
χ5744-4-4-24-44-24-42-42-22-22-4-224000002-200000000000000−4i4i0000000000000000000002i−2i0000000000
χ5844-4-4-2-24-4-2-222221-11-1-22-2200023−231-123−2300−3−333000000000000003-30−330000000000000000000000
χ5944-4-4-2-24-4-2-222221-11-1-22-2200023−231-1−23230033−3−300000000000000-330−330000000000000000000000
χ6044-4-4-2-24-4-2-222221-11-1-22-22000−23231-123−2300−3−33300000000000000-3303−30000000000000000000000
χ6144-4-4-2-24-4-2-222221-11-1-22-22000−23231-1−23230033−3−3000000000000003-303−30000000000000000000000
χ624-44-44400-4-4-444-44-4-4400000000000000000000000000022−2200000000000000000000022−2200000000
χ634-44-44400-4-4-444-44-4-44000000000000000000000000000−2222000000000000000000000−222200000000
χ644-44-44-200-4224-2-4-222-20000000000000i6−i6i6−i6i6−i60000000022−22−2i32i30000000000000000000−2200000000
χ654-44-44-200-4224-2-4-222-20000000000000i6−i6i6−i6i6−i600000000−22222i3−2i300000000000000000002−200000000
χ664-44-44-200-4224-2-4-222-20000000000000−i6i6−i6i6−i6i60000000022−222i3−2i30000000000000000000−2200000000
χ674-44-44-200-4224-2-4-222-20000000000000−i6i6−i6i6−i6i600000000−2222−2i32i300000000000000000002−200000000
χ684-4-444400-4-44-4-4444-4-4000000000000000000000000000000000000004-400000000000000000000
χ694-4-444400-4-44-4-4444-4-400000000000000000000000000000000000000-4400000000000000000000
χ708888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000000
χ7188-8-8-4-4-88-4-444442-22-24-44-400000-220000000000000000000000000000000000000000000000000
χ728-88-8-48004-8-8-484-444-4000000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400444-4-442-2-2200000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ748-88-8-4-400444-4-442-2-220000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ758-8-888-400-84-4-848-4-444000000000000000000000000000000000000000000000000000000000000
χ768-8-88-48004-884-8-4-4-444000000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40044-444-422-2-2000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ788-8-88-4-40044-444-422-2-20000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000

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