Finite Group Databasebeta

← Group #11882271

Character table — Group #11882271

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order12223344666666366688121212124444441212121212122424242424242424448888121212121212121212122244244466121212122424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-1111111-1-1-1-111-1-111-1-1-1111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111111111-1-1-1-1-1-111-1-1111-1-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111111-11-1111-1-11-1-1-1-1-1-1-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1111111-11-11-1-11111-1-1-1-1-1-11-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-11-111-1-1-1-1-1-11-1-1111-1111-1-11111-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-11-1-111-1-1-1-1-111-1-1-1-1-1-11-1-11111111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-111-1-1-11-1-1-111-1-11111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-1-1-11-1-1111111-111-1-111-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-11-11-1-1-111-11111-1-11-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111111-11-111-1-1-1-11111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-20000222200000022-2-2000000-200-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22000022-2-2000000-2-222000000200-20000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-20000-2-222000000-2-222000000-20020000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-200000022-2-200000020020000000000
χ2122222-122-12-122-1-1-1-1-122-12-12220022-1-122-1-122-1-1-1-1-1-1202200-1-1002-1-1-1-1-100002200-1-1000-1-1-10000-1000
χ2222222-122-12-122-1-1-1-1-122-12-122200-2-211-2-2-1-122-1-1-1-1-1-1202200-1-100-2111110000-2-20011000-1-1-100001000
χ2322222-122-12-122-1-1-1-1-122-12-12-2-20022-1-122-1-122-1-1-1-1-1-1-20-2-20011002-1-1-1-1-10000-2-2001100011100001000
χ2422222-122-12-122-1-1-1-1-122-12-12-2-200-2-211-2-2-1-122-1-1-1-1-1-1-20-2-2001100-21111100002200-1-10001110000-1000
χ2522222-122-12-122-1-1-1-1-1-2-2-12-1222002-2-1-1-2-2-1-1-2-211111120-2-200-1-10021-1-11100002-200-1-1000-11100001000
χ2622222-122-12-122-1-1-1-1-1-2-2-12-122200-221122-1-1-2-211111120-2-200-1-100-2-111-1-10000-220011000-1110000-1000
χ2722222-122-12-122-1-1-1-1-1-2-2-12-12-2-2002-2-1-1-2-2-1-1-2-2111111-202200110021-1-1110000-2200110001-1-10000-1000
χ2822222-122-12-122-1-1-1-1-1-2-2-12-12-2-200-221122-1-1-2-2111111-2022001100-2-111-1-100002-200-1-10001-1-100001000
χ292222-12222-12-1-12-1-1-1-1222-12-100222222-1-1-1-1-1-122-1-1-1-102002200-1-1-12-1-1-1-10000002200-1-1-1000-1-1000-100
χ302222-12222-12-1-12-1-1-1-1222-12-10022-2-2-2-211-1-1-1-122-1-1-1-102002200-1-11-21111000000-2-200-111000-1-1000100
χ312222-12222-12-1-12-1-1-1-1222-12-100-2-22222-1-1-1-1-1-122-1-1-1-10-200-2-20011-12-1-1-1-1000000-2-20011100011000100
χ322222-12222-12-1-12-1-1-1-1222-12-100-2-2-2-2-2-211-1-1-1-122-1-1-1-10-200-2-200111-2111100000022001-1-100011000-100
χ332222-12222-12-1-12-1-1-1-1-2-22-12-100222-22211-1-111-2-211110200-2-200-1-1-1-2-1-1110000002-200-11100011000-100
χ342222-12222-12-1-12-1-1-1-1-2-22-12-10022-22-2-2-1-1-1-111-2-211110200-2-200-1-11211-1-1000000-2200-1-1-100011000100
χ352222-12222-12-1-12-1-1-1-1-2-22-12-100-2-22-22211-1-111-2-211110-200220011-1-2-1-111000000-22001-1-1000-1-1000100
χ362222-12222-12-1-12-1-1-1-1-2-22-12-100-2-2-22-2-2-1-1-1-111-2-211110-2002200111211-1-10000002-200111000-1-1000-100
χ3722-2-22200-2-22-22-22-22-2−i2i200002-22-200000000−i2i2−i2i2−i2−i2i2i200−i2i2−i2i22-22-20000002-2000000000000−i2i2−i2i2−i2i20000
χ3822-2-22200-2-22-22-22-22-2−i2i200002-2-2200000000−i2i2−i2i2−i2−i2i2i200−i2i2i2−i22-2-22000000-22000000000000−i2i2i2−i2i2−i20000
χ3922-2-22200-2-22-22-22-22-2−i2i20000-222-200000000−i2i2−i2i2−i2−i2i2i200i2−i2−i2i2-222-2000000-22000000000000i2−i2−i2i2i2−i20000
χ4022-2-22200-2-22-22-22-22-2−i2i20000-22-2200000000−i2i2−i2i2−i2−i2i2i200i2−i2i2−i2-22-220000002-2000000000000i2−i2i2−i2−i2i20000
χ4122-2-22200-2-22-22-22-22-2i2−i200002-22-200000000i2−i2i2−i2i2i2−i2−i200i2−i2i2−i22-22-20000002-2000000000000i2−i2i2−i2i2−i20000
χ4222-2-22200-2-22-22-22-22-2i2−i200002-2-2200000000i2−i2i2−i2i2i2−i2−i200i2−i2−i2i22-2-22000000-22000000000000i2−i2−i2i2−i2i20000
χ4322-2-22200-2-22-22-22-22-2i2−i20000-222-200000000i2−i2i2−i2i2i2−i2−i200−i2i2i2−i2-222-2000000-22000000000000−i2i2i2−i2−i2i20000
χ4422-2-22200-2-22-22-22-22-2i2−i20000-22-2200000000i2−i2i2−i2i2i2−i2−i200−i2i2−i2i2-22-220000002-2000000000000−i2i2−i2i2i2−i20000
χ4544444-2-4-4-24-244-2-2-2-2-2002-42-444000000002200000000-400000-2-200000000000000000000020000000000
χ4644444-2-4-4-24-244-2-2-2-2-2002-42-4-4-400000000220000000040000022000000000000000000000-20000000000
χ474444-24-4-44-24-2-24-2-2-2-200-42-42004400000022000000000-4000000-2-2000000000000000020000000000000
χ484444-24-4-44-24-2-24-2-2-2-200-42-4200-4-4000000220000000004000000220000000000000000-20000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-2-21111000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000022-1-1-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2211-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-2-1-111000000000000000000000000
χ5344-4-44-2002-4-2-442-22-22−2i22i200004-40000000000−2i22i2i2−i2i2i2−i2−i200−2i22i200-220000000000000000000000i2−i200000000
χ5444-4-44-2002-4-2-442-22-22−2i22i20000-440000000000−2i22i2i2−i2i2i2−i2−i2002i2−2i2002-20000000000000000000000−i2i200000000
χ5544-4-44-2002-4-2-442-22-222i2−2i200004-400000000002i2−2i2−i2i2−i2−i2i2i2002i2−2i200-220000000000000000000000−i2i200000000
χ5644-4-44-2002-4-2-442-22-222i2−2i20000-4400000000002i2−2i2−i2i2−i2−i2i2i200−2i22i2002-20000000000000000000000i2−i200000000
χ5744-4-4-2400-4242-2-4-22-22−2i22i20000004-400000000i2−i2−2i22i2i2i2−i2−i20000−2i22i200-220000000000000000000000i2−i2000000
χ5844-4-4-2400-4242-2-4-22-22−2i22i2000000-4400000000i2−i2−2i22i2i2i2−i2−i200002i2−2i2002-20000000000000000000000−i2i2000000
χ5944-4-4-2400-4242-2-4-22-222i2−2i20000004-400000000−i2i22i2−2i2−i2−i2i2i200002i2−2i200-220000000000000000000000−i2i2000000
χ6044-4-4-2400-4242-2-4-22-222i2−2i2000000-4400000000−i2i22i2−2i2−i2−i2i2i20000−2i22i2002-20000000000000000000000i2−i2000000
χ614-44-44400-44-4-4-444-4-44000000000000000000000000000000000000000000004i−4i00000000000000000000
χ624-44-44400-44-4-4-444-4-4400000000000000000000000000000000000000000000−4i4i00000000000000000000
χ634-4-44444-44-4-44-4-444-4-40044-4-400000000004-4000000000000000000000000000000000000000000000000
χ644-4-4444-444-4-44-4-444-4-400-4-4440000000000-44000000000000000000000000000000000000000000000000
χ654-4-444-24-4-2-424-42-2-22200-242-40000000000-2200000000000000000000000000000000−2i32i300000000000000
χ664-4-444-24-4-2-424-42-2-22200-242-40000000000-22000000000000000000000000000000002i3−2i300000000000000
χ674-4-444-2-44-2-424-42-2-222002-4-2400000023−23002-20000000000000000000023−2300000000000000000000000000
χ684-4-444-2-44-2-424-42-2-222002-4-24000000−2323002-200000000000000000000−232300000000000000000000000000
χ694-4-44-244-442-4-22-4-2-222004-2-420000000000-2200000000000000000000000000000000000−2i32i300000000000
χ704-4-44-244-442-4-22-4-2-222004-2-420000000000-22000000000000000000000000000000000002i3−2i300000000000
χ714-4-44-24-4442-4-22-4-2-22200-424-20000000023−232-2000000000000000000000023−23000000000000000000000000
χ724-4-44-24-4442-4-22-4-2-22200-424-200000000−23232-20000000000000000000000−2323000000000000000000000000
χ734-4-44-2-2-44-222-22211-1-10022-2-200000023−2323−23-1100003-33-3000000000000−33−33000000000000000000000000
χ744-4-44-2-2-44-222-22211-1-10022-2-200000023−23−2323-110000-33-33000000000000−333−3000000000000000000000000
χ754-4-44-2-2-44-222-22211-1-10022-2-2000000−232323−23-110000-33-330000000000003−3−33000000000000000000000000
χ764-4-44-2-2-44-222-22211-1-10022-2-2000000−2323−2323-1100003-33-30000000000003−33−3000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-40044-44-442-22-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7988-8-8-4-40044-44-442-22-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ808-88-88-400484-8-8-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8-4-8448-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4444-42-2-220000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-42-2-2200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-48-8-444-44422-2-200-4-44400000000002-2000000000000000000000000000000000000000000000000

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