Finite Group Databasebeta

← Group #11789674

Character table — Group #11789674

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666666661212121212121212226666666666666666121212124444888888888888121212122424242424242424242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-1i−ii−i11-1-1ii−i−ii−i1-1ii−i−iii−i−i11-1-111-1-1i−ii−i
χ1011-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-1i−ii−i-1-111−i−iiii−i-11ii−i−iii−i−i-1-111-1-111−ii−ii
χ1111-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii11-1-1−i−iii−ii1-1−i−iii−i−iii11-1-111-1-1−ii−ii
χ1211-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-11-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii-1-111ii−i−i−ii-11−i−iii−i−iii-1-111-1-111i−ii−i
χ1311-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1i−ii−i11-1-1ii−i−i−ii-11ii−i−i−i−iii11-1-1-1-111i−i−ii
χ1411-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1i−ii−i-1-111−i−iii−ii1-1ii−i−i−i−iii-1-11111-1-1−iii−i
χ1511-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1−ii−ii11-1-1−i−iiii−i-11−i−iiiii−i−i11-1-1-1-111−iii−i
χ1611-1-11-11111-1-1-1-111-1-1111-1-111-1-1-1-1111-1-1-111-1-11-1-1-1-11111-1-1-1-1111111-1-1−ii−ii-1-111ii−i−ii−i1-1−i−iiiii−i−i-1-11111-1-1i−i−ii
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ192222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-122-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-1000000000000
χ202222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-122-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011111111000000000000
χ212222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-122-1-2-2-2-211-2-21111111111-1-1-1-1222200000000-2-200-1-1-1-11111000000000000
χ222222222-12222222-1-1-1-12-12-1-1-1-1-1-1-1-1-1-122-122-1-2-2-2-211-2-21111111111-1-1-1-1-2-2-2-20000000022001111-1-1-1-1000000000000
χ23222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-122-1-12-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-10000
χ24222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-122-1-12-1-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000111111110000
χ25222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-122-1-12-1-12-2-211-2-211-2-211111111-1-1-1-100002222000000-2-200000000-1-1-1-111110000
χ26222222-122222-1-1-1222-1-12-12-1-1-1-1-1-1-122-1-12-1-12-2-211-2-211-2-211111111-1-1-1-10000-2-2-2-200000022000000001111-1-1-1-10000
χ27222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-1-2-211-211-200−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3111100002i−2i2i−2i0000000000000000−ii−ii3−33−30000
χ28222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-1-2-211-211-200−i3i300−i3i300−i3−i3i3i3−i3−i3i3i311110000−2i2i−2i2i0000000000000000i−ii−i−33−330000
χ29222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-1-2-211-211-200i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3111100002i−2i2i−2i0000000000000000−ii−ii−33−330000
χ30222222-12-2-2-2-2-1-1-1222-1-12-12-1-1-1-1-1-1-1-2-211-211-200i3−i300i3−i300i3i3−i3−i3i3i3−i3−i311110000−2i2i−2i2i0000000000000000i−ii−i3−33−30000
χ312222-2-2222-22-22222222-2-2-2-2-2-222-2-222-22-2-22-220000000000000000002-22-222-2-20000000000002-22-20000000000000000
χ322222-2-2222-22-22222222-2-2-2-2-2-222-2-222-22-2-22-220000000000000000002-22-2-2-222000000000000-22-220000000000000000
χ332222-2-222-22-222222222-2-2-2-2-2-222-2-22-22-222-22-2000000000000000000-22-2200000000222200000000000000000000-2-200
χ342222-2-222-22-222222222-2-2-2-2-2-222-2-22-22-222-22-2000000000000000000-22-2200000000-2-2-2-2000000000000000000002200
χ352222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-1-112-212-2-10000−i3i300−i3i3−i3i3−i3i3−i3i3−i3i3-11-1122-2-2000000000000-11-11−i3i3−i3i3000000000000
χ362222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-1-112-212-2-10000−i3i300−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-2-2220000000000001-11-1i3−i3i3−i3000000000000
χ372222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-1-112-212-2-10000i3−i300i3−i3i3−i3i3−i3i3−i3i3−i3-11-1122-2-2000000000000-11-11i3−i3i3−i3000000000000
χ382222-2-22-12-22-2222-1-1-1-1-21-2111-1-111-1-112-212-2-10000i3−i300i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-2-2220000000000001-11-1−i3i3−i3i3000000000000
χ3922-2-22-222-2-222-2-222-2-2222-2-222-2-2-2-22-2-2222-2-22000000000000000000-2-22200002i−2i−2i2i00000000000000002i−2i−2i2i00000000
χ4022-2-22-222-2-222-2-222-2-2222-2-222-2-2-2-22-2-2222-2-22000000000000000000-2-2220000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000
χ4122-2-22-22-122-2-2-2-22-111-12-1-21-1-11111-1-1-1-2-212212-222-1-1-2-211-1-1-1-11111-1-1112i−2i2i−2i000000002i−2i00−i−iii−i−iii000000000000
χ4222-2-22-22-122-2-2-2-22-111-12-1-21-1-11111-1-1-1-2-212212-222-1-1-2-211-1-1-1-11111-1-111−2i2i−2i2i00000000−2i2i00ii−i−iii−i−i000000000000
χ4322-2-22-22-122-2-2-2-22-111-12-1-21-1-11111-1-1-1-2-21221-22-2-21122-1-11111-1-1-1-1-1-1112i−2i2i−2i00000000−2i2i00−i−iiiii−i−i000000000000
χ4422-2-22-22-122-2-2-2-22-111-12-1-21-1-11111-1-1-1-2-21221-22-2-21122-1-11111-1-1-1-1-1-111−2i2i−2i2i000000002i−2i00ii−i−i−i−iii000000000000
χ4522-2-22-2-1222-2-211-12-2-2-1-121-2-1-11111-12211-2-1-1-22-2-1-12211-2-2-1-1-1-11111-1-111000022-2-20000002-200000000-1-111-1-1110000
χ4622-2-22-2-1222-2-211-12-2-2-1-121-2-1-11111-12211-2-1-1-22-2-1-12211-2-2-1-1-1-11111-1-1110000-2-222000000-220000000011-1-111-1-10000
χ4722-2-22-2-1222-2-211-12-2-2-1-121-2-1-11111-12211-2-1-1-2-2211-2-2-1-1221111-1-1-1-1-1-111000022-2-2000000-2200000000-1-11111-1-10000
χ4822-2-22-2-1222-2-211-12-2-2-1-121-2-1-11111-12211-2-1-1-2-2211-2-2-1-1221111-1-1-1-1-1-1110000-2-2220000002-20000000011-1-1-1-1110000
χ4922-2-22-2-12-2-22211-12-2-2-1-121-2-1-11111-1-2-2-1-1211200−i3i300i3−i300−i3−i3i3i3i3i3−i3−i311-1-100002i−2i−2i2i0000000000000000−iii−i3−3−330000
χ5022-2-22-2-12-2-22211-12-2-2-1-121-2-1-11111-1-2-2-1-1211200−i3i300i3−i300−i3−i3i3i3i3i3−i3−i311-1-10000−2i2i2i−2i0000000000000000i−i−ii−333−30000
χ5122-2-22-2-12-2-22211-12-2-2-1-121-2-1-11111-1-2-2-1-1211200i3−i300−i3i300i3i3−i3−i3−i3−i3i3i311-1-100002i−2i−2i2i0000000000000000−iii−i−333−30000
χ5222-2-22-2-12-2-22211-12-2-2-1-121-2-1-11111-1-2-2-1-1211200i3−i300−i3i300i3i3−i3−i3−i3−i3i3i311-1-10000−2i2i2i−2i0000000000000000i−i−ii3−3−330000
χ5322-2-2-22222-2-22-2-222-2-22-2-222-2-2-2-22222-2-2222-2-20000000000000000002-2-222i−2i−2i2i0000000000002i−2i−2i2i0000000000000000
χ5422-2-2-22222-2-22-2-222-2-22-2-222-2-2-2-22222-2-2222-2-20000000000000000002-2-22−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000
χ5522-2-2-2222-222-2-2-222-2-22-2-222-2-2-2-2222-222-2-2-222000000000000000000-222-2000000002i2i−2i−2i00000000000000000000−2i2i00
χ5622-2-2-2222-222-2-2-222-2-22-2-222-2-2-2-2222-222-2-2-222000000000000000000-222-200000000−2i−2i2i2i000000000000000000002i−2i00
χ5722-2-2-222-12-2-22-2-22-111-1-212-11111-1-1-1-11-22-12-210000−i3i300i3−i3−i3i3−i3i3i3−i3i3−i3-111-12i−2i−2i2i000000000000−iii−i3−3−33000000000000
χ5822-2-2-222-12-2-22-2-22-111-1-212-11111-1-1-1-11-22-12-210000−i3i300i3−i3−i3i3−i3i3i3−i3i3−i3-111-1−2i2i2i−2i000000000000i−i−ii−333−3000000000000
χ5922-2-2-222-12-2-22-2-22-111-1-212-11111-1-1-1-11-22-12-210000i3−i300−i3i3i3−i3i3−i3−i3i3−i3i3-111-12i−2i−2i2i000000000000−iii−i−333−3000000000000
χ6022-2-2-222-12-2-22-2-22-111-1-212-11111-1-1-1-11-22-12-210000i3−i300−i3i3i3−i3i3−i3−i3i3−i3i3-111-1−2i2i2i−2i000000000000i−i−ii3−3−33000000000000
χ614444444-2-4-4-4-4444-2-2-2-24-24-2-2-2-2-2-2-2-222-4-42-4-420000000000000000002222000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i32i300−2i32i300i3i3−i3−i3i3i3−i3−i3-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i3−2i3002i3−2i300−i3−i3i3i3−i3−i3i3i3-1-1-1-1000000000000000000000000000000000000
χ664444-4-44-2-44-44444-2-2-2-2-42-4222-2-222-22-2-44-2-4420000000000000000002-22-2000000000000000000000000000000000000
χ674444-4-4-244-44-4-2-2-2444-22-42-422-2-222-24-4-22-4-224000000000000000000-22-22000000000000000000000000000000000000
χ684444-4-4-24-44-44-2-2-2444-22-42-422-2-222-2-442-242-2-40000000000000000002-22-2000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222-1-111-1-11-22-222-22-20000−2i32i300−2i32i3i3−i3i3−i3i3−i3i3−i31-11-1000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222-1-111-1-11-22-222-22-200002i3−2i3002i3−2i3−i3i3−i3i3−i3i3−i3i31-11-1000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-212222-1-111-1-112-22-2-22-2200000000003-3-333-3-33-11-11000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-212222-1-111-1-112-22-2-22-220000000000-333-3-333-3-11-11000000000000000000000000000000000000
χ7344-4-44-44-2-4-444-4-44-222-24-2-42-2-22222-22244-2-4-4-200000000000000000022-2-2000000000000000000000000000000000000
χ7444-4-44-4-2-244-4-422-2-2221-2-22211-1-1-1-11-2-2222-2-224-4-2-2-2-222221111-1-1-1-111-1-1000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-422-2-2221-2-22211-1-1-1-11-2-2222-2-22-442222-2-2-2-2-1-1-1-1111111-1-1000000000000000000000000000000000000
χ7644-4-44-4-2-2-4-44422-2-2221-2-22211-1-1-1-1122-2-2-222-200−2i32i3002i3−2i300i3i3−i3−i3−i3−i3i3i3-1-111000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-44422-2-2221-2-22211-1-1-1-1122-2-2-222-2002i3−2i300−2i32i300−i3−i3i3i3i3i3−i3−i3-1-111000000000000000000000000000000000000
χ7844-4-4-444-2-444-4-4-44-222-2-424-22222-2-2-22-24-42-44-20000000000000000002-2-22000000000000000000000000000000000000
χ7944-4-4-44-244-4-4422-24-4-4-22-4-242222-2-2-24-42-24-22-4000000000000000000-222-2000000000000000000000000000000000000
χ8044-4-4-44-24-444-422-24-4-4-22-4-242222-2-2-2-44-22-42-240000000000000000002-2-22000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-4422-2-222122-2-2-1-1-1-1111-222-2-2-2220000−2i32i3002i3−2i3i3−i3i3−i3−i3i3−i3i31-1-11000000000000000000000000000000000000
χ8244-4-4-44-2-24-4-4422-2-222122-2-2-1-1-1-1111-222-2-2-22200002i3−2i300−2i32i3−i3i3−i3i3i3−i3i3−i31-1-11000000000000000000000000000000000000
χ8344-4-4-44-2-2-444-422-2-222122-2-2-1-1-1-11112-2-2222-2-200000000003-3-33-333-3-111-1000000000000000000000000000000000000
χ8444-4-4-44-2-2-444-422-2-222122-2-2-1-1-1-11112-2-2222-2-20000000000-333-33-3-33-111-1000000000000000000000000000000000000
χ854-44-4004400004-4-4-44-440000004-400-400000000000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000
χ864-44-4004400004-4-4-44-440000004-400-4000000000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ874-4-4400440000-44-4-4-444000000-4400-40000000000000000000000000000000000000022−22−2222000000000000000000000000
χ884-4-4400440000-44-4-4-444000000-4400-400000000000000000000000000000000000000−222222−22000000000000000000000000
χ898-88-8008-400008-8-84-44-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-444-88-8-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4444-44200006-62-26-6-2000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4444-4420000-662-2-66-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-88-844-4-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-44-8-88-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-4444-4200006-6-22-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-4444-420000-66-226-6-2000000000000000000000000000000000000000000000000000000000000000000

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