Finite Group Databasebeta

← Group #11785120

Character table — Group #11785120

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order122222334444666666366666661212121212121212121212126688121224242424242424242424242424242424222244444444666688881212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1
χ911111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1111111-1-1i−ii−i11-1-1ii−i−iii−i−i-1-1i−i
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-111-1-1i−i−ii-1-111ii−i−i−i−iii11−ii
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-1-1-111−iii−i11-1-1−i−iiiii−i−i11−ii
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1111111-1-111−ii−ii-1-111−i−iii−i−iii-1-1i−i
χ1311111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1111111-1-1−ii−ii11-1-1−i−iii−i−iii-1-1−ii
χ1411111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-111-1-1−iii−i-1-111−i−iiiii−i−i11i−i
χ1511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-1-1-111i−i−ii11-1-1ii−i−i−i−iii11i−i
χ1611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1111111-1-111i−ii−i-1-111ii−i−iii−i−i-1-1−ii
χ172222222-122222-1-12-12-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222200000000-1-1-1-122000000-1-1-1-100000000
χ182222222-122222-1-12-12-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000000001111-2-2000000111100000000
χ192222222-122222-1-12-12-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2111111-2-2111111222200000000-1-1-1-1-2-2000000111100000000
χ202222222-122222-1-12-12-122-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-200000000111122000000-1-1-1-100000000
χ212222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-2-21111-2111-21-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii22-2-200000000-1-1112i−2i000000−i−iii00000000
χ222222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-2-21111-2111-21-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-2220000000011-1-1−2i2i000000ii−i−i00000000
χ232222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-2-21111-2111-21-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i22-2-200000000-1-111−2i2i000000ii−i−i00000000
χ242222222-1-2-2-2-22-1-12-12-122-1-1-1-1-1-2-21111-2111-21-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i-2-2220000000011-1-12i−2i000000−i−iii00000000
χ25222222-122222-122-12-1-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000000000022-1-1-1-10000-1-1-1-10000
χ26222222-122222-122-12-1-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000000000-2-21111000011110000
χ27222222-122222-122-12-1-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-111-2-2111111-2-21111000022220000000000-2-2-1-1-1-1000011110000
χ28222222-122222-122-12-1-1-1-122-1-1-1-1-122-1-1-12-1-1-12-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-200000000002211110000-1-1-1-10000
χ29222222-12-2-2-2-2-122-12-1-1-1-122-1-1-111-2-2111-2111-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii000022-2-200000000002i−2i-1-1110000−i−iii0000
χ30222222-12-2-2-2-2-122-12-1-1-1-122-1-1-111-2-2111-2111-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2-2220000000000−2i2i11-1-10000ii−i−i0000
χ31222222-12-2-2-2-2-122-12-1-1-1-122-1-1-111-2-2111-2111-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i000022-2-20000000000−2i2i-1-1110000ii−i−i0000
χ32222222-12-2-2-2-2-122-12-1-1-1-122-1-1-111-2-2111-2111-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-2-22200000000002i−2i11-1-10000−i−iii0000
χ332222-2-2222-22-22222222-2-2-2-22222-22-2-2-2-2-2-2-222-2-2002200000000000000000000000022-2-2000000000000000000002-200
χ342222-2-2222-22-22222222-2-2-2-22222-22-2-2-2-2-2-2-222-2-20022000000000000000000000000-2-22200000000000000000000-2200
χ352222-2-222-22-222222222-2-2-2-2222-22-22222222-2-2-2-200-2-200000000000000000000000022-2-200000000000000000000-2200
χ362222-2-222-22-222222222-2-2-2-2222-22-22222222-2-2-2-200-2-2000000000000000000000000-2-222000000000000000000002-200
χ3722-2-22-22222-2-2-2-2-222-222-22-2-2-22222222-2-2-2-2-2-22-2002-200000000000000002-22-2000000002-22-200000000000000000000
χ3822-2-22-22222-2-2-2-2-222-222-22-2-2-22222222-2-2-2-2-2-22-2002-20000000000000000-22-2200000000-22-2200000000000000000000
χ3922-2-22-222-2-222-2-2-222-222-22-2-2-22-2-2-2-2-2-22222222-200-2200000000000000002-2-22000000002-2-2200000000000000000000
χ4022-2-22-222-2-222-2-2-222-222-22-2-2-22-2-2-2-2-2-22222222-200-220000000000000000-222-200000000-222-200000000000000000000
χ4122-2-22-22-122-2-2-2112-1-2-12-2-1111-122-1-1-1-1-2111-21-1100-11003−333−3−3003−333−3−32-22-200000000-11-11000000003−33−300000000
χ4222-2-22-22-122-2-2-2112-1-2-12-2-1111-122-1-1-1-1-2111-21-1100-11003−333−3−3003−333−3−3-22-22000000001-11-100000000−33−3300000000
χ4322-2-22-22-122-2-2-2112-1-2-12-2-1111-122-1-1-1-1-2111-21-1100-1100−33−3−33300−33−3−3332-22-200000000-11-1100000000−33−3300000000
χ4422-2-22-22-122-2-2-2112-1-2-12-2-1111-122-1-1-1-1-2111-21-1100-1100−33−3−33300−33−3−333-22-22000000001-11-1000000003−33−300000000
χ4522-2-22-22-1-2-222-2112-1-2-12-2-1111-1-2-211112-1-1-12-1-11001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i32-2-2200000000-111-100000000−i3i3i3−i300000000
χ4622-2-22-22-1-2-222-2112-1-2-12-2-1111-1-2-211112-1-1-12-1-11001-100−i3i3−i3−i3i3i300i3−i3i3i3−i3−i3-222-2000000001-1-1100000000i3−i3−i3i300000000
χ4722-2-22-22-1-2-222-2112-1-2-12-2-1111-1-2-211112-1-1-12-1-11001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i32-2-2200000000-111-100000000i3−i3−i3i300000000
χ4822-2-22-22-1-2-222-2112-1-2-12-2-1111-1-2-211112-1-1-12-1-11001-100i3−i3i3i3−i3−i300−i3i3−i3−i3i3i3-222-2000000001-1-1100000000−i3i3i3−i300000000
χ4922-2-2-22222-2-22-2-2-222-22-22-22-2-222-22-2-2-22222-2-2-22002-2000000000000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000
χ5022-2-2-22222-2-22-2-2-222-22-22-22-2-222-22-2-2-22222-2-2-22002-200000000000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000
χ5122-2-2-2222-222-2-2-2-222-22-22-22-2-22-22-2222-2-2-2-222-2200-22000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ5222-2-2-2222-222-2-2-2-222-22-22-22-2-22-22-2222-2-2-2-222-2200-2200000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ5322-2-2-22-122-2-221-2-2-121-11-1-2211-1-112-211-12-1-11-21-100-11−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300002i−2i2i−2i000000000000−ii−ii00003−33−30000
χ5422-2-2-22-122-2-221-2-2-121-11-1-2211-1-112-211-12-1-11-21-100-11−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30000−2i2i−2i2i000000000000i−ii−i0000−33−330000
χ5522-2-2-22-122-2-221-2-2-121-11-1-2211-1-112-211-12-1-11-21-100-11i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300002i−2i2i−2i000000000000−ii−ii0000−33−330000
χ5622-2-2-22-122-2-221-2-2-121-11-1-2211-1-112-211-12-1-11-21-100-11i3−i300i3−i3i3−i3i3−i300i3−i3i3−i30000−2i2i−2i2i000000000000i−ii−i00003−33−30000
χ5722-2-2-22-12-222-21-2-2-121-11-1-2211-11-1-22-1-11-211-121-1001-13−3003−33−3−3300−33−3300002i−2i−2i2i000000000000−iii−i0000i3−i3−i3i30000
χ5822-2-2-22-12-222-21-2-2-121-11-1-2211-11-1-22-1-11-211-121-1001-13−3003−33−3−3300−33−330000−2i2i2i−2i000000000000i−i−ii0000−i3i3i3−i30000
χ5922-2-2-22-12-222-21-2-2-121-11-1-2211-11-1-22-1-11-211-121-1001-1−3300−33−333−3003−33−300002i−2i−2i2i000000000000−iii−i0000−i3i3i3−i30000
χ6022-2-2-22-12-222-21-2-2-121-11-1-2211-11-1-22-1-11-211-121-1001-1−3300−33−333−3003−33−30000−2i2i2i−2i000000000000i−i−ii0000i3−i3−i3i30000
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-2-211-2-211-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-122114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-122-1-12211−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
χ654444-4-44-24-44-44-2-24-24-2-4-422-2-2-24-4-2222-42224-22200-2-20000000000000000000000000000000000000000000000000000
χ664444-4-44-2-44-444-2-24-24-2-4-422-2-2-2-442-2-2-24-2-2-2-422200220000000000000000000000000000000000000000000000000000
χ674444-4-4-244-44-4-244-24-2-222-4-4-2-2-2-224-4222-422-242200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-44-44-244-24-2-222-4-4-2-2-22-2-44-2-2-24-2-22-42200220000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22-1-122-1-1-2-2-1-1001100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ704444-4-4-2-24-44-4-2-2-2-2-2-212222111-22-22-1-122-1-1-2-2-1-100110000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ714444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-211-2-21122-1-100-1-100003-3-330000-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-44-44-2-2-2-2-2-2122221112-22-211-2-21122-1-100-1-10000-333-300003-3-33000000000000000000000000000000000000
χ7344-4-44-4-2444-4-42-4-4-242-2-224-422-2-2-244-2-22-4222-4-2200-220000000000000000000000000000000000000000000000000000
χ7444-4-44-4-24-4-4442-4-4-242-2-224-422-222-4-422-24-2-2-24-22002-20000000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4222-2-221-22-22-1-11-2-2-2-21122-1-1221-1001-10023−23−3−3330023−23−3−333000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4222-2-221-22-22-1-11-2-2-2-21122-1-1221-1001-100−232333−3−300−232333−3−3000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444222-2-221-22-22-1-112222-1-1-2-211-2-21-100-1100−2i32i3i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444222-2-221-22-22-1-112222-1-1-2-211-2-21-100-11002i3−2i3−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ7944-4-4-444-24-4-44-4224-2-4-2-442-222-24-4-22224-2-2-2-422-200-220000000000000000000000000000000000000000000000000000
χ8044-4-4-444-2-444-4-4224-2-4-2-442-222-2-442-2-2-2-42224-22-2002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-4-44222-2-2212-22-2-1-11-22-22-1-1-2-21122-11001-1−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ8244-4-4-44-2-24-4-44222-2-2212-22-2-1-11-22-22-1-1-2-21122-11001-12i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ8344-4-4-44-2-2-444-4222-2-2212-22-2-1-112-22-21122-1-1-2-2-1100-1123−2300−33−33−2323003−33−3000000000000000000000000000000000000
χ8444-4-4-44-2-2-444-4222-2-2212-22-2-1-112-22-21122-1-1-2-2-1100-11−2323003−33−323−2300−33−33000000000000000000000000000000000000
χ854-44-40044000044-4-4-4-4400004-4-4000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ864-44-40044000044-4-4-4-4400004-4-400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ874-4-4400440000-4-44-4-4440000-44-40000000000000000000000000000000000000000004-400000000000000000000000000
χ884-4-4400440000-4-44-4-4440000-44-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ898-88-8008-400008-44-84-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-480000-48-84-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-40000-4-44444200002-2-200006i−6i006i−6i000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-4-44444200002-2-20000−6i6i00−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-4-848-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-884-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-444-420000-22-200006i−6i00−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-444-420000-22-20000−6i6i006i−6i000000000000000000000000000000000000000000000000000000000000

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