Finite Group Databasebeta

← Group #11878613

Character table — Group #11878613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444488888888888888881212121212121212161616161616242424242424242424242424242424243636363648487272
order12223344666666366688121212124412121212121224242424242424242244666612121212121224448812121212121224242424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-1111111-11-111-1-111-1-1111-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-11-11-1-1111111111-11-1-111-1-111-1-1-111-1-1-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-11-11-11-1-1-1-111111-1-1-1-1-1-11-111
χ7111111111111111111111111-1-1-1-1-1-11111111111-11-11-1-111-1-1-1-1-1-1-11-11-11111-1-1-1-1-111-1-1-1-1-1111
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1111111-1-1
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1111-1-11-1-1-1-111-1-11-1-11
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-11-111-1-11-111-1-1-111-1-11-111111-1-111-1-111-1-11-1
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1111-111-1-11-1-111-11-1-1-1-1-111-1-1-1-111111-1
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-111-1111111-1-1-11-11
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-11-1-1111-1-1-1-111-1-1-111-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-11-1-1111-1-11-11-1-1-1-1-11-1-111-1-11111-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111-111-11-111111-111-1-1-1-111-1-1-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-111-1-1-1111111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-2000000-2-20000000022-2-22222000000000000-20000-20000-22000000
χ18222222-2-2222222222200-2-2-2-2000000-2-2000000002-2-2222-2-200000000000020000-200002-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-222-2-2-222000000000000-20000200002-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-2-222-2-2-2-20000000000002000020000-22000000
χ2122222-1222-1-12-12-1-1-1-122-12-122222-1-1-1-122-1-1-1-1-1-1020200-1-1-12-1-1-1-1202002-100-1-1000-1-10000-1000
χ2222222-1222-1-12-12-1-1-1-122-12-122222-1-1-1-122-1-1-1-1-1-10-20-20011-12-1-1-1-1-20-200-2100110001100001000
χ2322222-1222-1-12-12-1-1-1-122-12-12-2-2-2-211-1-122-1-1-1-1-1-1020200-1-11-21111-20-2002-10011000-1-100001000
χ2422222-1222-1-12-12-1-1-1-122-12-12-2-2-2-211-1-122-1-1-1-1-1-10-20-200111-2111120200-2100-1-1000110000-1000
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-122-22211-1-1-2-2111111020200-1-1-1-2-1-11120-200-2-10011000110000-1000
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-122-22211-1-1-2-21111110-20-20011-1-2-1-111-202002100-1-1000-1-100001000
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12-22-2-2-1-1-1-1-2-2111111020200-1-11211-1-1-20200-2-100-1-10001100001000
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12-22-2-2-1-1-1-1-2-21111110-20-200111211-1-120-200210011000-1-10000-1000
χ292222-1222-122-12-1-1-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-12020-1-1002-1-1-1-1-10202200-1-100-1-1-10000000-100
χ302222-1222-122-12-1-1-1-1-1222-12-122-1-122-1-1-1-122-1-1-1-1-20-2011002-1-1-1-1-10-20-2-20011001110000000100
χ312222-1222-122-12-1-1-1-1-1222-12-1-2-211-2-2-1-1-1-122-1-1-1-12020-1-100-2111110-20-22001100-1-1-10000000100
χ322222-1222-122-12-1-1-1-1-1222-12-1-2-211-2-2-1-1-1-122-1-1-1-1-20-201100-2111110202-200-1-1001110000000-100
χ332222-1222-122-12-1-1-1-1-1-2-22-12-12-2-1-1-2-2-1-111-2-211112020-1-10021-1-111020-2-200-1-100-1110000000100
χ342222-1222-122-12-1-1-1-1-1-2-22-12-12-2-1-1-2-2-1-111-2-21111-20-20110021-1-1110-20220011001-1-10000000-100
χ352222-1222-122-12-1-1-1-1-1-2-22-12-1-221122-1-111-2-211112020-1-100-2-111-1-10-202-2001100-1110000000-100
χ362222-1222-122-12-1-1-1-1-1-2-22-12-1-221122-1-111-2-21111-20-201100-2-111-1-1020-2200-1-1001-1-10000000100
χ3744444-2-4-44-2-24-24-2-2-2-2002-42-40000002200000000040-400-2-2000000000000200000000000000000
χ3844444-2-4-44-2-24-24-2-2-2-2002-42-400000022000000000-4040022000000000000-200000000000000000
χ394444-24-4-4-244-24-2-2-2-2-200-42-42000000220000000040-40-2-200000000000000000002000000000000
χ404444-24-4-4-244-24-2-2-2-2-200-42-420000002200000000-4040220000000000000000000-2000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-2111100000000-2-21111000000000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-211110000000022-1-1-1-1000000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-100000000-2211-1-1000000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000002-2-1-111000000000000000000000000
χ4544-4-444004-4-4-44-44-44-4000000000000000000000000000000000000000000000000000000−2i22i20000
χ4644-4-444004-4-4-44-44-44-40000000000000000000000000000000000000000000000000000002i2−2i20000
χ474-44-44400-44-44-4-44-4-44−2i22i2000000000000−2i22i2−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000
χ484-44-44400-44-44-4-44-4-442i2−2i20000000000002i2−2i22i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000
χ494-44-44-200-4-2242-4-222-2−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i2000000−2i32i3000000000000000000006−600000000
χ504-44-44-200-4-2242-4-222-2−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i20000002i3−2i300000000000000000000−6600000000
χ514-44-44-200-4-2242-4-222-22i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i2000000−2i32i300000000000000000000−6600000000
χ524-44-44-200-4-2242-4-222-22i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i20000002i3−2i3000000000000000000006−600000000
χ534-44-4-240024-4-2-42-222-2−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i20000−2i32i3000000000000000000006−60000000000
χ544-44-4-240024-4-2-42-222-2−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i200002i3−2i300000000000000000000−660000000000
χ554-44-4-240024-4-2-42-222-22i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i20000−2i32i300000000000000000000−660000000000
χ564-44-4-240024-4-2-42-222-22i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i200002i3−2i3000000000000000000006−60000000000
χ574-4-44444-4-4-44-4-4444-4-400-4-4440000004-40000000000000000000000000000000000000000000000
χ584-4-4444-44-4-44-4-4444-4-40044-4-4000000-440000000000000000000000000000000000000000000000
χ594-4-444-24-4-42-2-424-2-222002-4-24000000-22000000000000000000000000000000023−230000000000000
χ604-4-444-24-4-42-2-424-2-222002-4-24000000-220000000000000000000000000000000−23230000000000000
χ614-4-444-2-44-42-2-424-2-22200-242-4000023−232-20000000000000000000023−23000000000000000000000000
χ624-4-444-2-44-42-2-424-2-22200-242-40000−23232-200000000000000000000−2323000000000000000000000000
χ634-4-44-244-42-442-4-2-2-22200-424-2000000-220000000000000000000000000000023−23000000000000000
χ644-4-44-244-42-442-4-2-2-22200-424-2000000-2200000000000000000000000000000−2323000000000000000
χ654-4-44-24-442-442-4-2-2-222004-2-420023−23002-200000000000000000023−2300000000000000000000000000
χ664-4-44-24-442-442-4-2-2-222004-2-4200−2323002-2000000000000000000−232300000000000000000000000000
χ674-4-44-2-2-4422-222-211-1-100-2-2220023−2323−23-1100003-33-30000000000−33−33000000000000000000000000
χ684-4-44-2-2-4422-222-211-1-100-2-2220023−23−2323-110000-33-330000000000−333−3000000000000000000000000
χ694-4-44-2-2-4422-222-211-1-100-2-22200−232323−23-110000-33-3300000000003−3−33000000000000000000000000
χ704-4-44-2-2-4422-222-211-1-100-2-22200−2323−2323-1100003-33-300000000003−33−3000000000000000000000000
χ718888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000
χ7288-8-88-400844-8-4-8-44-44000000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4800-4-8-8484-44-44000000000000000000000000000000000000000000000000000000000000
χ7488-8-8-4-400-4444-442-22-2000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000
χ7588-8-8-4-400-4444-442-22-20000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000
χ768-88-8-4-4004-44-4442-2-22−4i24i20000000000002i2−2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000
χ778-88-8-4-4004-44-4442-2-224i2−4i2000000000000−2i22i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000
χ788-8-88-4-48-844-444-422-2-20044-4-40000002-20000000000000000000000000000000000000000000000

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