Finite Group Databasebeta

← Group #11882214

Character table — Group #11882214

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12222244443366666612121212121212126666121212124444222244446666666612121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ91111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1111-111-1-111-1-1
χ101111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-1111-11-1-11-11111-1-111-1-1-1-111-1-11-1-1-111-1-111
χ111111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-11-1-11-111-11-1-1-1-111-1-11111-1-1111-1-1-111-1-111
χ121111-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-11111-1-1-1-1-1-1-111111111-1-11-111-1-111-1-1
χ131111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-111-11-1-111-1-11111-1-111-1-1-1-1-1111-1-1-1-111
χ141111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1111111-11-1-11111-1-1
χ151111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-1
χ161111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1111-1-11-11-1-11-111-1-111-1-1-1-111-1-11111-1111-1-1-1-111
χ172222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ18222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ192222-2-222-2-2222222222222-2-2-2-2-2-2-2-222-2-2-222-2000000000000000000000000-2200000000
χ202222-2-2-2-22222222222-2-2-2-22222-2-2-2-2-2-222-222-20000000000000000000000002-200000000
χ212-2-222-22-22-222-2-2-2-22222-2-222-2-222-2-22-22-20000000000000000000000000000002−22−22−22−2
χ222-2-222-22-22-222-2-2-2-22222-2-222-2-222-2-22-22-2000000000000000000000000000000−22−22−22−22
χ232-2-222-2-22-2222-2-2-2-222-2-222-2-22222-2-2-22-220000000000000000000000000000002−22−2−22−22
χ242-2-222-2-22-2222-2-2-2-222-2-222-2-22222-2-2-22-22000000000000000000000000000000−22−222−22−2
χ252-2-22-222-2-2222-2-2-2-22222-2-2-2-222-2-2222-2-220000000000000000000000000000002−2−222−2−22
χ262-2-22-222-2-2222-2-2-2-22222-2-2-2-222-2-2222-2-22000000000000000000000000000000−222−2−222−2
χ272-2-22-22-222-222-2-2-2-222-2-22222-2-2-2-222-222-20000000000000000000000000000002−2−22−222−2
χ282-2-22-22-222-222-2-2-2-222-2-22222-2-2-2-222-222-2000000000000000000000000000000−222−22−2−22
χ2944444444441-211-2-21-21111-2-2-2-21-21-2-2-2110000002200220000-1-1-1-10000-1-1-1-10000000000
χ3044444444441-211-2-21-21111-2-2-2-21-21-2-2-211000000-2-200-2-200001111000011110000000000
χ314444444444-21-2-211-21-2-2-2-21111-21-2111-2-2000022002200-1-1-1-10000-1-1-1-100000000000000
χ324444444444-21-2-211-21-2-2-2-21111-21-2111-2-20000-2-200-2-20011110000111100000000000000
χ33444444-4-4-4-41-211-2-21-2-1-1-1-122221-21-222-1-10000002-2002-20000-1-1110000-1-1110000000000
χ34444444-4-4-4-41-211-2-21-2-1-1-1-122221-21-222-1-1000000-2200-22000011-1-1000011-1-10000000000
χ35444444-4-4-4-4-21-2-211-212222-1-1-1-1-21-21-1-12200002-2002-200-1-1110000-1-11100000000000000
χ36444444-4-4-4-4-21-2-211-212222-1-1-1-1-21-21-1-1220000-2200-220011-1-1000011-1-100000000000000
χ374444-4-444-4-41-211-2-21-211112222-12-12-2-2-1-10000002-200-220000-1-111000011-1-10000000000
χ384444-4-444-4-41-211-2-21-211112222-12-12-2-2-1-1000000-22002-2000011-1-10000-1-1110000000000
χ394444-4-444-4-4-21-2-211-21-2-2-2-2-1-1-1-12-12-1112200002200-2-200-1-1-1-10000111100000000000000
χ404444-4-444-4-4-21-2-211-21-2-2-2-2-1-1-1-12-12-111220000-2-200220011110000-1-1-1-100000000000000
χ414444-4-4-4-4441-211-2-21-2-1-1-1-1-2-2-2-2-12-1222110000002200-2-20000-1-1-1-1000011110000000000
χ424444-4-4-4-4441-211-2-21-2-1-1-1-1-2-2-2-2-12-122211000000-2-20022000011110000-1-1-1-10000000000
χ434444-4-4-4-444-21-2-211-21222211112-12-1-1-1-2-200002-200-2200-1-111000011-1-100000000000000
χ444444-4-4-4-444-21-2-211-21222211112-12-1-1-1-2-20000-22002-20011-1-10000-1-11100000000000000
χ4544-4-4000000444-44-4-4-4000000000000000004i−4i00000000000000000000000000000000000
χ4644-4-4000000444-44-4-4-400000000000000000−4i4i00000000000000000000000000000000000
χ474-44-400000044-44-44-4-40000000000000000400-40000000000000000000000000000000000
χ484-44-400000044-44-44-4-40000000000000000-40040000000000000000000000000000000000
χ494-4-444-44-44-41-2-1-1221-211-1-1-2-2221-2-12-221-10000000000000000−i3i3−i3i30000−i3i3−i3i30000000000
χ504-4-444-44-44-41-2-1-1221-211-1-1-2-2221-2-12-221-10000000000000000i3−i3i3−i30000i3−i3i3−i30000000000
χ514-4-444-44-44-4-2122-1-1-21-2-22211-1-1-212-11-1-22000000000000−i3i3−i3i30000−i3i3−i3i300000000000000
χ524-4-444-44-44-4-2122-1-1-21-2-22211-1-1-212-11-1-22000000000000i3−i3i3−i30000i3−i3i3−i300000000000000
χ534-4-444-4-44-441-2-1-1221-2-1-11122-2-21-2-122-2-110000000000000000−i3i3i3−i30000−i3i3i3−i30000000000
χ544-4-444-4-44-441-2-1-1221-2-1-11122-2-21-2-122-2-110000000000000000i3−i3−i3i30000i3−i3−i3i30000000000
χ554-4-444-4-44-44-2122-1-1-2122-2-2-1-111-212-1-112-2000000000000−i3i3i3−i30000−i3i3i3−i300000000000000
χ564-4-444-4-44-44-2122-1-1-2122-2-2-1-111-212-1-112-2000000000000i3−i3−i3i30000i3−i3−i3i300000000000000
χ574-4-44-444-4-441-2-1-1221-211-1-122-2-2-121-2-22-110000000000000000−i3i3i3−i30000i3−i3−i3i30000000000
χ584-4-44-444-4-441-2-1-1221-211-1-122-2-2-121-2-22-110000000000000000i3−i3−i3i30000−i3i3i3−i30000000000
χ594-4-44-444-4-44-2122-1-1-21-2-222-1-1112-1-211-12-2000000000000−i3i3−i3i30000i3−i3i3−i300000000000000
χ604-4-44-444-4-44-2122-1-1-21-2-222-1-1112-1-211-12-2000000000000i3−i3i3−i30000−i3i3−i3i300000000000000
χ614-4-44-44-444-41-2-1-1221-2-1-111-2-222-121-22-21-10000000000000000−i3i3−i3i30000i3−i3i3−i30000000000
χ624-4-44-44-444-41-2-1-1221-2-1-111-2-222-121-22-21-10000000000000000i3−i3i3−i30000−i3i3−i3i30000000000
χ634-4-44-44-444-4-2122-1-1-2122-2-211-1-12-1-21-11-22000000000000−i3i3i3−i30000i3−i3−i3i300000000000000
χ644-4-44-44-444-4-2122-1-1-2122-2-211-1-12-1-21-11-22000000000000i3−i3−i3i30000−i3i3i3−i300000000000000
χ6588-8-80000002-42-2-44-246i−6i6i−6i00000000000000000000000000000000000000000000000000
χ6688-8-80000002-42-2-44-24−6i6i−6i6i00000000000000000000000000000000000000000000000000
χ6788-8-8000000-42-442-24-200006i−6i6i−6i0000000000000000000000000000000000000000000000
χ6888-8-8000000-42-442-24-20000−6i6i−6i6i0000000000000000000000000000000000000000000000
χ698-88-80000002-4-224-4-246i−6i−6i6i00000000000000000000000000000000000000000000000000
χ708-88-80000002-4-224-4-24−6i6i6i−6i00000000000000000000000000000000000000000000000000
χ718-88-8000000-424-4-224-200006i−6i−6i6i0000000000000000000000000000000000000000000000
χ728-88-8000000-424-4-224-20000−6i6i6i−6i0000000000000000000000000000000000000000000000

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