Finite Group Databasebeta

← Group #11872828

Character table — Group #11872828

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666622366612121212444446666812121212242424242424242444444488121212121212661212124481212121212121224242424222488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-11111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111-1-1111111-1-111-1-111111-11-1111-1-1-1-1-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-11-11111-1-11111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-1-11111111111-1-11-1
χ911111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111111-11-1-1-1-111-1-1-1-11-1-11-1-111
χ1011111111111111-1-11111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-111-1-111-1-111-111-111-1-1
χ1111111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1111-1-1
χ1211111111111111-1-1111111111111-1-1-1-1-11-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-111-111-1-1-1-111-1-1-111-1-1-111
χ1311111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1111-1-111-1-111-1-1-111-1111-1
χ1411111111111111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-11-11111-1-111111-1-11-1-1-11
χ1511111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111111111-1-111-1-111-1-1-1-1-1-1-11-1-11-1-11111-1-111-111-1-1-1-11
χ1611111111111111-1-111111111-1-1-1-1-1-1-1-1-11-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-11111-1
χ17222222-2-2222222002222-2-2-2-222-2-200000000-2-200000000002-20000-2-2-2-2220000000020000000000-20020000
χ18222222-2-2222222002222-2-2-2-222-2-200000000-2-20000000000-220000-2-2222200000000-20000000000200-20000
χ19222222-2-2222222002222-2-2-2-2-2-22200000000-2-200000000002-2000022-2-2-2-20000000020000000000200-20000
χ20222222-2-2222222002222-2-2-2-2-2-22200000000-2-20000000000-2200002222-2-200000000-20000000000-20020000
χ2122222-12222-1-1-1222-1-1-1-1-122-10000222-1-1222-1-122-1-1-1-1-1-10022222200-1-100-1-1-1-1-1020-1-1-1000000-1-1000000-10
χ2222222-12222-1-1-1222-1-1-1-1-122-10000222-1-1222-1-122-1-1-1-1-1-100-2-2-2-2-2-2001100-1-1-1-1-10-201110000001100000010
χ2322222-12222-1-1-1222-1-1-1-1-122-10000-222-1-1-2-2-2-1-1-2-2111111002222-2-200-1-100-1-11110-20-1-1-10000001100000010
χ2422222-12222-1-1-1222-1-1-1-1-122-10000-222-1-1-2-2-2-1-1-2-211111100-2-2-2-222001100-1-1111020111000000-1-1000000-10
χ2522222-12222-1-1-12-2-2-1-1-1-1-122-100002-2-211-222-1-1-2-21111110022-2-2-2-200-1-10011-1-1-1020-11100000011000000-10
χ2622222-12222-1-1-12-2-2-1-1-1-1-122-100002-2-211-222-1-1-2-211111100-2-2222200110011-1-1-10-201-1-1000000-1-100000010
χ2722222-12222-1-1-12-2-2-1-1-1-1-122-10000-2-2-2112-2-2-1-122-1-1-1-1-1-10022-2-22200-1-100111110-20-111000000-1-100000010
χ2822222-12222-1-1-12-2-2-1-1-1-1-122-10000-2-2-2112-2-2-1-122-1-1-1-1-1-100-2-222-2-2001100111110201-1-100000011000000-10
χ292222-1222-1-1222-122-1-1-1-12-1-1222222-1-1222-1-1-1-1-1-122-1-1-1-122000000-1-100-1-1-1-12-1-1202000-1-1-1-1-1-10000000000
χ302222-1222-1-1222-122-1-1-1-12-1-122222-2-1-122-211-1-111-2-2111122000000-1-100-1-1-1-1-211-20-2000-1-111110000000000
χ312222-1222-1-1222-122-1-1-1-12-1-12-2-2-2-22-1-1222-1-1-1-1-1-122-1-1-1-1-2-2000000110011-1-12-1-1-20-20001111110000000000
χ322222-1222-1-1222-122-1-1-1-12-1-12-2-2-2-2-2-1-122-211-1-111-2-21111-2-2000000110011-1-1-21120200011-1-1-1-10000000000
χ332222-1222-1-1222-1-2-2-1-1-1-12-1-122222211-2-2-2-1-1-1-111-2-21111-2-2000000-1-100-1-1112-1-120-200011-1-1110000000000
χ342222-1222-1-1222-1-2-2-1-1-1-12-1-122222-211-2-2211-1-1-1-122-1-1-1-1-2-2000000-1-100-1-111-211-2020001111-1-10000000000
χ352222-1222-1-1222-1-2-2-1-1-1-12-1-12-2-2-2-2211-2-2-2-1-1-1-111-2-2111122000000110011112-1-1-202000-1-111-1-10000000000
χ362222-1222-1-1222-1-2-2-1-1-1-12-1-12-2-2-2-2-211-2-2211-1-1-1-122-1-1-1-12200000011001111-21120-2000-1-1-1-1110000000000
χ3722-2-2222-22-2-22-2-22-22-2-22-22-222i−2i2i−2i02-22-2000-22000000002i−2i0000002i−2i002i−2i2-20000000002i−2i00000000000000
χ3822-2-2222-22-2-22-2-22-22-2-22-22-22−2i2i−2i2i02-22-2000-2200000000−2i2i000000−2i2i00−2i2i2-2000000000−2i2i00000000000000
χ3922-2-2222-22-2-22-2-2-222-2-22-22-222i−2i2i−2i0-22-22000-2200000000−2i2i0000002i−2i002i−2i-22000000000−2i2i00000000000000
χ4022-2-2222-22-2-22-2-2-222-2-22-22-22−2i2i−2i2i0-22-22000-22000000002i−2i000000−2i2i00−2i2i-220000000002i−2i00000000000000
χ4122-2-222-222-2-22-2-2002-2-222-22-22i−2i−2i2i000000002-20000000000002i−2i00−2i2i002i−2i0000000002i−2i0000000002-200000
χ4222-2-222-222-2-22-2-2002-2-222-22-22i−2i−2i2i000000002-2000000000000−2i2i00−2i2i002i−2i000000000−2i2i000000000-2200000
χ4322-2-222-222-2-22-2-2002-2-222-22-2−2i2i2i−2i000000002-20000000000002i−2i002i−2i00−2i2i0000000002i−2i000000000-2200000
χ4422-2-222-222-2-22-2-2002-2-222-22-2−2i2i2i−2i000000002-2000000000000−2i2i002i−2i00−2i2i000000000−2i2i0000000002-200000
χ4522-2-2-122-2-11-22-212-2-111-1-2-1122i−2i2i−2i0-112-20−i3i31-1−i3i300−i3−i3i3i32i−2i000000−ii00−ii-110−i3i3000000−ii3−33−30000000000
χ4622-2-2-122-2-11-22-212-2-111-1-2-1122i−2i2i−2i0-112-20i3−i31-1i3−i300i3i3−i3−i32i−2i000000−ii00−ii-110i3−i3000000−ii−33−330000000000
χ4722-2-2-122-2-11-22-212-2-111-1-2-112−2i2i−2i2i0-112-20−i3i31-1−i3i300−i3−i3i3i3−2i2i000000i−i00i−i-110−i3i3000000i−i−33−330000000000
χ4822-2-2-122-2-11-22-212-2-111-1-2-112−2i2i−2i2i0-112-20i3−i31-1i3−i300i3i3−i3−i3−2i2i000000i−i00i−i-110i3−i3000000i−i3−33−30000000000
χ4922-2-2-122-2-11-22-21-22-111-1-2-1122i−2i2i−2i01-1-220−i3i31-1i3−i300i3i3−i3−i3−2i2i000000−ii00−ii1-10−i3i3000000i−i3−3−330000000000
χ5022-2-2-122-2-11-22-21-22-111-1-2-1122i−2i2i−2i01-1-220i3−i31-1−i3i300−i3−i3i3i3−2i2i000000−ii00−ii1-10i3−i3000000i−i−333−30000000000
χ5122-2-2-122-2-11-22-21-22-111-1-2-112−2i2i−2i2i01-1-220−i3i31-1i3−i300i3i3−i3−i32i−2i000000i−i00i−i1-10−i3i3000000−ii−333−30000000000
χ5222-2-2-122-2-11-22-21-22-111-1-2-112−2i2i−2i2i01-1-220i3−i31-1−i3i300−i3−i3i3i32i−2i000000i−i00i−i1-10i3−i3000000−ii3−3−330000000000
χ5344444-2-4-444-2-2-2400-2-2-2-22-4-420000000000002200000000004-4000000220000000000-2000000000000000000
χ5444444-2-4-444-2-2-2400-2-2-2-22-4-42000000000000220000000000-44000000-2-200000000002000000000000000000
χ554444-24-4-4-2-2444-200-2-2-2-2-422-444-4-4000000002200000000000000002200-2-2000000000000000000000000000
χ564444-24-4-4-2-2444-200-2-2-2-2-422-4-4-44400000000220000000000000000-2-20022000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2441111-2-2-2-200004-2-2-2-24-2-211-2-2-2-211110000000000000011-2110000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-2-2-2-20000-4-2-2-2-2-422112222-1-1-1-100000000000000112-1-10000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-41111-2-2-2-2000042222-4-2-2112222-1-1-1-100000000000000-1-1-2110000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-2-2-2-20000-4222242211-2-2-2-2111100000000000000-1-12-1-10000000000000000000000
χ6144-4-44-24-44-42-22-44-4-222-224-4-2000004-4-220002-20000000000000000000000-220000000000000000000000000
χ6244-4-44-24-44-42-22-4-44-222-224-4-200000-442-20002-200000000000000000000002-20000000000000000000000000
χ6344-4-44-2-444-42-22-400-222-2-2-442000000000000-220000000000004i−4i00000000000000000−2i2i0000000000000000
χ6444-4-44-2-444-42-22-400-222-2-2-442000000000000-22000000000000−4i4i000000000000000002i−2i0000000000000000
χ6544-4-4-24-44-22-44-4200-222-242-2-44i−4i−4i4i00000000-2200000000000000002i−2i00−2i2i000000000000000000000000000
χ6644-4-4-24-44-22-44-4200-222-242-2-4−4i4i4i−4i00000000-220000000000000000−2i2i002i−2i000000000000000000000000000
χ6744-4-4-2-24-4-222-2224-41-1-112-22-200000-22-220−2i32i3-11−2i32i300i3i3−i3−i3000000000000001-10i3−i30000000000000000000000
χ6844-4-4-2-24-4-222-2224-41-1-112-22-200000-22-2202i3−2i3-112i3−2i300−i3−i3i3i3000000000000001-10−i3i30000000000000000000000
χ6944-4-4-2-24-4-222-222-441-1-112-22-2000002-22-20−2i32i3-112i3−2i300−i3−i3i3i300000000000000-110i3−i30000000000000000000000
χ7044-4-4-2-24-4-222-222-441-1-112-22-2000002-22-202i3−2i3-11−2i32i300i3i3−i3−i300000000000000-110−i3i30000000000000000000000
χ714-44-44400-4-44-4-440044-4-4000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ724-44-44400-4-44-4-440044-4-40000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ734-4-444400-44-4-44-4004-44-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ744-4-444400-44-4-44-4004-44-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ754-4-444-200-4422-2-400-22-22000000000000000000006−66−66−6000000−2i22i200−2i32i30000000000000000000i2−i200000000
χ764-4-444-200-4422-2-400-22-22000000000000000000006−66−66−60000002i2−2i2002i3−2i30000000000000000000−i2i200000000
χ774-4-444-200-4422-2-400-22-2200000000000000000000−66−66−66000000−2i22i2002i3−2i30000000000000000000i2−i200000000
χ784-4-444-200-4422-2-400-22-2200000000000000000000−66−66−660000002i2−2i200−2i32i30000000000000000000−i2i200000000
χ798888-4-4-8-8-4-4-4-4-4-40022224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-444-444002-2-22-44-440000000000002-20000000000000000000000000000000000000000000000000
χ818-88-88-400-8-8-444800-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4800448-8-8-400-4-4440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-40044-444-40022-2-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ848-88-8-4-40044-444-40022-2-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ858-8-88-48004-4-8-88400-44-440000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-44002-22-20000000000000000000026−26−66−6600000000000000000000000000000000000000000
χ878-8-88-4-4004-444-44002-22-200000000000000000000−26266−66−600000000000000000000000000000000000000000

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