Finite Group Databasebeta

← Group #11867136

Character table — Group #11867136

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666636668812121212224424661212121224242424242424242466888812126661212122244224466666122424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111111-11-1111-1-11-1-1-1-1-1-11-1-11
χ10111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-11-1-11-111-1-1-1-1-11111-111-1
χ11111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111111-11-111-1-1111-1-1-1-1-1-1-111-1
χ12111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-111111-1-11
χ13111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-11-1-111111-1-1111-11-1
χ14111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11111-11-11-1-1-111-11111-1-1-11-11
χ15111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1-1-1-11-1-11111-1-1111-1-111-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-11-1-111-1-1-11111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-2220000-2-200000022-2-2000020000-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22220000-2-2000000-2-2220000-2000020000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-2-2-2000022000000-2-222000020000-20000000000
χ20222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-22-2-200002200000022-2-20000-2000020000000000
χ2122222-1222-1-12-12-1-1-1-1222-12-1222222-1-1-1-1-1-122-1-1-1-1-1-100-1-12200-1-12-1-12-1-1000022000-1-1-1-10-1-100000000
χ2222222-1222-1-12-12-1-1-1-1222-12-12222-2-21111-1-122-1-1-1-1-1-100-1-12200-1-1-211-2110000-2-200011110-1-100000000
χ2322222-1222-1-12-12-1-1-1-1222-12-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-10011-2-200112-1-12-1-10000-2-2000111101100000000
χ2422222-1222-1-12-12-1-1-1-1222-12-1-2-2-2-2-2-21111-1-122-1-1-1-1-1-10011-2-20011-211-211000022000-1-1-1-101100000000
χ2522222-1222-1-12-12-1-1-1-1-2-22-12-122222-2-1-111-1-1-2-211111100-1-1-2-200-1-12-1-1-21100002-2000-1-11101100000000
χ2622222-1222-1-12-12-1-1-1-1-2-22-12-12222-2211-1-1-1-1-2-211111100-1-1-2-200-1-1-2112-1-10000-2200011-1-101100000000
χ2722222-1222-1-12-12-1-1-1-1-2-22-12-1-2-2-2-22-2-1-111-1-1-2-211111100112200112-1-1-2110000-2200011-1-10-1-100000000
χ2822222-1222-1-12-12-1-1-1-1-2-22-12-1-2-2-2-2-2211-1-1-1-1-2-21111110011220011-2112-1-100002-2000-1-1110-1-100000000
χ292222-1222-122-12-1-1-1-1-122-12-120000222222-1-1-1-122-1-1-1-12200002200-1-1-1-1-1-100000022-10000-100-1-100-1-100
χ302222-1222-122-12-1-1-1-1-122-12-120000222222-1-1-1-122-1-1-1-1-2-20000-2-200-1-1-1-1-1-1000000-2-21000010011001100
χ312222-1222-122-12-1-1-1-1-122-12-120000-2-2-2-2-2-2-1-1-1-122-1-1-1-12200002200111111000000-2-2-10000-100-1-1001100
χ322222-1222-122-12-1-1-1-1-122-12-120000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-20000-2-20011111100000022100001001100-1-100
χ332222-1222-122-12-1-1-1-1-1-2-2-12-1200002-222-2-2-1-111-2-21111220000-2-200-1-1-11110000002-2-10000-1001100-1100
χ342222-1222-122-12-1-1-1-1-1-2-2-12-1200002-222-2-2-1-111-2-21111-2-200002200-1-1-1111000000-2210000100-1-1001-100
χ352222-1222-122-12-1-1-1-1-1-2-2-12-120000-22-2-222-1-111-2-21111220000-2-200111-1-1-1000000-22-10000-10011001-100
χ362222-1222-122-12-1-1-1-1-1-2-2-12-120000-22-2-222-1-111-2-21111-2-200002200111-1-1-10000002-210000100-1-100-1100
χ3722-2-2222-2-2-2-222-22-2-220022-2-22-22-20000002-200000000002-2002i−2i2-200000000000000000000002i−2i2i−2i0000
χ3822-2-2222-2-2-2-222-22-2-220022-2-22-22-20000002-200000000002-200−2i2i2-20000000000000000000000−2i2i−2i2i0000
χ3922-2-2222-2-2-2-222-22-2-220022-2-2-22-220000002-20000000000-22002i−2i-2200000000000000000000002i−2i−2i2i0000
χ4022-2-2222-2-2-2-222-22-2-220022-2-2-22-220000002-20000000000-2200−2i2i-220000000000000000000000−2i2i2i−2i0000
χ4122-2-222-22-2-2-222-22-2-222-2-2-2222-2-22000000-222-22-222-2-2002-22-200-22000000000000000000002-200000000
χ4222-2-222-22-2-2-222-22-2-222-2-2-222-222-2000000-222-22-222-2-200-22-22002-200000000000000000000-2200000000
χ4322-2-222-22-2-2-222-22-2-22-22-2-2222-2-22000000-22-22-22-2-222002-2-2200-2200000000000000000000-2200000000
χ4422-2-222-22-2-2-222-22-2-22-22-2-222-222-2000000-22-22-22-2-22200-222-2002-2000000000000000000002-200000000
χ4522-2-22-1-22-2112-1-2-111-12-2-212-12-2-2200−i3i3−i3i31-12-2-11-1-11100-112-2001-10−i3i30−i3i3000000000−i3i3−i3i30-1100000000
χ4622-2-22-1-22-2112-1-2-111-12-2-212-12-2-2200i3−i3i3−i31-12-2-11-1-11100-112-2001-10i3−i30i3−i3000000000i3−i3i3−i30-1100000000
χ4722-2-22-1-22-2112-1-2-111-12-2-212-1-222-200−i3i3−i3i31-12-2-11-1-111001-1-2200-110−i3i30−i3i3000000000i3−i3i3−i301-100000000
χ4822-2-22-1-22-2112-1-2-111-12-2-212-1-222-200i3−i3i3−i31-12-2-11-1-111001-1-2200-110i3−i30i3−i3000000000−i3i3−i3i301-100000000
χ4922-2-22-1-22-2112-1-2-111-1-22-212-12-2-2200−i3i3i3−i31-1-221-111-1-100-11-22001-10−i3i30i3−i3000000000−i3i3i3−i301-100000000
χ5022-2-22-1-22-2112-1-2-111-1-22-212-12-2-2200i3−i3−i3i31-1-221-111-1-100-11-22001-10i3−i30−i3i3000000000i3−i3−i3i301-100000000
χ5122-2-22-1-22-2112-1-2-111-1-22-212-1-222-200−i3i3i3−i31-1-221-111-1-1001-12-200-110−i3i30i3−i3000000000i3−i3−i3i30-1100000000
χ5222-2-22-1-22-2112-1-2-111-1-22-212-1-222-200i3−i3−i3i31-1-221-111-1-1001-12-200-110i3−i30−i3i3000000000−i3i3i3−i30-1100000000
χ5344444-2-4-44-2-24-24-2-2-2-200-42-4244-4-4000000220000000000-2-2000022000000000000000000000000000000
χ5444444-2-4-44-2-24-24-2-2-2-200-42-42-4-444000000220000000000220000-2-2000000000000000000000000000000
χ554444-24-4-4-244-24-2-2-2-2-2002-42-4000000000022000000004-40000000000000000000000-2000020000000000
χ564444-24-4-4-244-24-2-2-2-2-2002-42-400000000002200000000-44000000000000000000000020000-20000000000
χ574444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ584444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-2111100000000002-1-12-1-1000000000000000000000000
χ594444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2112-1-1000000000000000000000000
χ604444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-1-1-211000000000000000000000000
χ6144-4-44-24-4-4224-2-4-222-2004-2-424-44-4000000-220000000000-220000-22000000000000000000000000000000
χ6244-4-44-24-4-4224-2-4-222-2004-2-42-44-44000000-2200000000002-200002-2000000000000000000000000000000
χ6344-4-4-244-42-4-4-242-222-200-242-40000000000-22000000000000004i−4i000000000000000000000000−2i2i000000
χ6444-4-4-244-42-4-4-242-222-200-242-40000000000-2200000000000000−4i4i0000000000000000000000002i−2i000000
χ6544-4-4-24-442-4-4-242-222-24-42-4-2400000000002-2-224-4-2-2220000000000000000000000000000000000000000
χ6644-4-4-24-442-4-4-242-222-2-442-4-2400000000002-22-2-4422-2-20000000000000000000000000000000000000000
χ6744-4-4-2-2-44222-2-221-1-114-422-2-2000000−2i32i3−2i32i3-11-22-2211-1-100000000000i3−i30i3−i3000000000000000000000000
χ6844-4-4-2-2-44222-2-221-1-114-422-2-20000002i3−2i32i3−2i3-11-22-2211-1-100000000000−i3i30−i3i3000000000000000000000000
χ6944-4-4-2-2-44222-2-221-1-11-4422-2-2000000−2i32i32i3−2i3-112-22-2-1-11100000000000i3−i30−i3i3000000000000000000000000
χ7044-4-4-2-2-44222-2-221-1-11-4422-2-20000002i3−2i3−2i32i3-112-22-2-1-11100000000000−i3i30i3−i3000000000000000000000000
χ714-44-4440044-4-4-4-444-4-4000000000000000000000000000000000000000000004i−4i00000000000000000000
χ724-44-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000−4i4i00000000000000000000
χ734-4-444400-4-44-4-444-44-40000000000000000000000000000000000000000004-40000000000000000000000
χ744-4-444400-4-44-4-444-44-4000000000000000000000000000000000000000000-440000000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7688-8-8-4-48-8444-4-442-2-2200-4-44400000000002-2000000000000000000000000000000000000000000000000
χ778-88-88-4008-44-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-48-84-84-4-444000000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-4-4444422-2-20000000000000000000000−3i23i2−3i23i20000000000000000000000000000000000000000
χ808-88-8-4-400-4-4444422-2-200000000000000000000003i2−3i23i2−3i20000000000000000000000000000000000000000
χ818-8-888-400-84-4-848-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-884-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-42-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-40044-444-42-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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