Finite Group Databasebeta

← Group #11787644

Character table — Group #11787644

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12442223344466121212123666666666121212121212121212122466666666661212121212121212121222448888446688121212121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-11-11-1ii−i−ii−i1-11-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i
χ1011-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-11-11-1−i−iii−ii1-11-11-1−i−iii−i−iii11-1-1−i−iii−i−iii
χ1111-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-11-11ii−i−ii−i-11-11-11ii−i−iii−i−i-1-111−i−iii−i−iii
χ1211-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-11-11−i−iii−ii-11-11-11−i−iii−i−iii-1-111ii−i−iii−i−i
χ1311-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-1ii−i−i−ii1-1-111-1−i−iiiii−i−i-1-111ii−i−i−i−iii
χ1411-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-1−i−iiii−i1-1-111-1ii−i−i−i−iii-1-111−i−iiiii−i−i
χ1511-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-11ii−i−i−ii-111-1-11−i−iiiii−i−i11-1-1−i−iiiii−i−i
χ1611-1-11-1-11111-111-1-1-1-111-11-1-1111-111-11-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-11−i−iiii−i-111-1-11ii−i−i−i−iii11-1-1ii−i−i−i−iii
χ1722222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000-1-122-1-100000000-1-1-1-100000000
χ1822222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000011-2-21100000000111100000000
χ1922222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111112222000000-1-1-2-2-1-100000000111100000000
χ2022222222-12222-1-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111-2-2-2-200000011221100000000-1-1-1-100000000
χ212222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222222000000-1-1-1-1-1-1-1-1000000000000
χ222222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-200000011111111000000000000
χ232222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111100002222-2-20000001111-1-1-1-1000000000000
χ242222222-12222-1222-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-222000000-1-1-1-11111000000000000
χ2522222-2-222-2-2222222222-22-2-2222-2-2-22-222222-2000000-2-200000000-2-2000000000000000000000000000000002-22-20000
χ2622222-2-222-2-2222222222-22-2-2222-2-2-22-222222-2000000-2-200000000-2-200000000000000000000000000000000-22-220000
χ272222-22-222-22-22222222-22-22-2-2-22-22-2-2-2-222-2-220000002-2000000002-200002-2-220000002-200-2200000000000000000000
χ282222-22-222-22-22222222-22-22-2-2-22-22-2-2-2-222-2-220000002-2000000002-20000-222-2000000-22002-200000000000000000000
χ292222-22-22-1-22-22-1-1-122-1-221-1111-1-22-2-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i32-2-22000000-11001-100000000−i3i3−i3i300000000
χ302222-22-22-1-22-22-1-1-122-1-221-1111-1-22-2-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i3-222-20000001-100-1100000000i3−i3i3−i300000000
χ312222-22-22-1-22-22-1-1-122-1-221-1111-1-22-2-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i32-2-22000000-11001-100000000i3−i3i3−i300000000
χ322222-22-22-1-22-22-1-1-122-1-221-1111-1-22-2-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i3-222-20000001-100-1100000000−i3i3−i3i300000000
χ332222-2-22222-2-22222222-2-2-2-22-2-222-22-22-222-2-2-2000000-2200000000-22000000002-22-20000000000002-22-2000000000000
χ342222-2-22222-2-22222222-2-2-2-22-2-222-22-22-222-2-2-2000000-2200000000-2200000000-22-22000000000000-22-22000000000000
χ352222-2-22-122-2-2-1222-1-1-111-2-2211-1-11-112-2-1-111-200−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i300002-22-200000000−i3i3−i3i3-11-11000000000000
χ362222-2-22-122-2-2-1222-1-1-111-2-2211-1-11-112-2-1-111-200−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i30000-22-2200000000i3−i3i3−i31-11-1000000000000
χ372222-2-22-122-2-2-1222-1-1-111-2-2211-1-11-112-2-1-111-200i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i300002-22-200000000i3−i3i3−i3-11-11000000000000
χ382222-2-22-122-2-2-1222-1-1-111-2-2211-1-11-112-2-1-111-200i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i30000-22-2200000000−i3i3−i3i31-11-1000000000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000002i−2i−2i2i0000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000000000−2i2i2i−2i0000
χ4122-2-22-2-22-122-22-111-2-2-12-2-111-1-1-1-222-2-111111-12-222-1-111-1-1-1-1-2-211-1-111112-22-2000000-112-2-1100000000-1-11100000000
χ4222-2-22-2-22-122-22-111-2-2-12-2-111-1-1-1-222-2-111111-12-222-1-111-1-1-1-1-2-211-1-11111-22-220000001-1-221-10000000011-1-100000000
χ4322-2-22-2-22-122-22-111-2-2-12-2-111-1-1-1-222-2-111111-1-22-2-21111111122-1-1-1-1-1-1-1-12-22-2000000-11-22-110000000011-1-100000000
χ4422-2-22-2-22-122-22-111-2-2-12-2-111-1-1-1-222-2-111111-1-22-2-21111111122-1-1-1-1-1-1-1-1-22-220000001-12-21-100000000-1-11100000000
χ4522-2-22-2-2-1222-2-12-2-211-1-112-2-2-1-1-11-1-112-2111122-2-1-12211-1-1-1-111-2-2-1-1111100002i2i−2i−2i2i−2i000000−i−iii−i−iii000000000000
χ4622-2-22-2-2-1222-2-12-2-211-1-112-2-2-1-1-11-1-112-2111122-2-1-12211-1-1-1-111-2-2-1-111110000−2i−2i2i2i−2i2i000000ii−i−iii−i−i000000000000
χ4722-2-22-2-2-1222-2-12-2-211-1-112-2-2-1-1-11-1-112-211112-2211-2-2111111-1-122-1-1-1-1-1-100002i2i−2i−2i−2i2i000000ii−i−i−i−iii000000000000
χ4822-2-22-2-2-1222-2-12-2-211-1-112-2-2-1-1-11-1-112-211112-2211-2-2111111-1-122-1-1-1-1-1-10000−2i−2i2i2i2i−2i000000−i−iiiii−i−i000000000000
χ4922-2-2-22-2222-2222-2-2-2-22-22-22-2-2-22-2-22222-2-222-20000002-200000000-22000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ5022-2-2-22-2222-2222-2-2-2-22-22-22-2-2-22-2-22222-2-222-20000002-200000000-2200000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ5122-2-2-22-2-122-22-12-2-211-11-1-22-211-111-1-12211-1-1-200−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i300002i−2i−2i2i000000003−3−33−iii−i000000000000
χ5222-2-2-22-2-122-22-12-2-211-11-1-22-211-111-1-12211-1-1-200−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i30000−2i2i2i−2i00000000−333−3i−i−ii000000000000
χ5322-2-2-22-2-122-22-12-2-211-11-1-22-211-111-1-12211-1-1-200i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i300002i−2i−2i2i00000000−333−3−iii−i000000000000
χ5422-2-2-22-2-122-22-12-2-211-11-1-22-211-111-1-12211-1-1-200i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i30000−2i2i2i−2i000000003−3−33i−i−ii000000000000
χ5522-2-2-2-2222-22222-2-2-2-22-2-2-2-22-2-2222-22-22-2-2222000000-22000000002-2000022-2-20000002200-2-200000000000000000000
χ5622-2-2-2-2222-22222-2-2-2-22-2-2-2-22-2-2222-22-22-2-2222000000-22000000002-20000-2-222000000-2-2002200000000000000000000
χ5722-2-2-2-222-1-2222-111-2-2-1-2-211-111-122-221-111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i322-2-2000000-1-1001100000000−i3i3i3−i300000000
χ5822-2-2-2-222-1-2222-111-2-2-1-2-211-111-122-221-111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i3-2-2220000001100-1-100000000i3−i3−i3i300000000
χ5922-2-2-2-222-1-2222-111-2-2-1-2-211-111-122-221-111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i322-2-2000000-1-1001100000000i3−i3−i3i300000000
χ6022-2-2-2-222-1-2222-111-2-2-1-2-211-111-122-221-111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i3-2-2220000001100-1-100000000−i3i3i3−i300000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-2-4-444-2-2-244-24-4-222-2-2-2-4-4-442-2-2-2-2-220000002200000000220000000000000000000000000000000000000000
χ6444444-4-4-24-4-44-2444-2-2-2-224-4-4-2-2-2222-2-44-2-2-2-2-40000002200000000220000000000000000000000000000000000000000
χ6544444-4-4-2-2-4-44-2-2-2-2-2-21-22-222111222-22-211112000000-1-13-3-330000-1-13-3-33000000000000000000000000000000000000
χ6644444-4-4-2-2-4-44-2-2-2-2-2-21-22-222111222-22-211112000000-1-1-333-30000-1-1-333-3000000000000000000000000000000000000
χ674444-44-4-24-44-4-2444-2-2-22-2-44-422-22-222-4-4-2-2224000000-2200000000-220000000000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-212-22-22-1-112-2222211-1-1-20000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ694444-44-4-2-2-44-4-2-2-2-2-2-212-22-22-1-112-2222211-1-1-200002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-444-24-4-44-2-2-244-2-4-422-222-24-44-4-22-2-22220000002-2000000002-20000000000000000000000000000000000000000
χ714444-4-44-2-24-4-4-2-2-2-2-2-212222-2-1-11-22-22-2211-1-1200−2i32i300-11i3−i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-44-2-24-4-4-2-2-2-2-2-212222-2-1-11-22-22-2211-1-12002i3−2i300-11−i3i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-44444-2-4-4-44-222-4-4-244-2-2-2-2-2-24-4-4-42222222000000-2-200000000220000000000000000000000000000000000000000
χ7444-4-4444-24-4-4-4-24-4-422-2-2-2444-2-2-2-2222-4-42222-4000000-2-200000000220000000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-12000000113-3-330000-1-1-333-3000000000000000000000000000000000000
χ7644-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-1200000011-333-30000-1-13-3-33000000000000000000000000000000000000
χ7744-4-44-4-4-2-244-4-2-222221-22-2221112-2-22-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ7844-4-44-4-4-2-244-4-2-222221-22-2221112-2-22-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ7944-4-4-44-44-24-444-222-4-4-2-442-2222-2-4-444-2-222-2-22000000-22000000002-20000000000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-2222212-22-22-1-1122-2-2-2-2-1-111200−2i32i3001-1i3−i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-44-2-2222212-22-22-1-1122-2-2-2-2-1-1112002i3−2i3001-1−i3i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ8244-4-4-4-44-24-444-24-4-422-222-4-4422-2-2-22-2-4422-2-240000002-200000000-220000000000000000000000000000000000000000
χ8344-4-4-4-44-2-2-444-2-2222212222-2-1-11-2-22-22-2-1-111-20000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-2222212222-2-1-11-2-22-22-2-1-111-200002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000000-40000004i−4i0000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ864-44i−4i00044000-4-44i−4i4i−4i40000000-40000004i−4i000000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000000-4000000−4i4i000000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000000-4000000−4i4i0000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ898-88i−8i0008-4000-84−4i4i8i−8i-400000004000000−4i4i0000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-88i−8i−4i4i-400000004000000−4i4i0000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i2000006-6-20000002i−2i6i−6i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i200000-66-20000002i−2i−6i6i00000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-844i−4i−8i8i-4000000040000004i−4i0000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-8−8i8i4i−4i-4000000040000004i−4i0000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i2000006-6-2000000−2i2i−6i6i00000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i200000-66-2000000−2i2i6i−6i00000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.