Finite Group Databasebeta

← Group #11868747

Character table — Group #11868747

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121244661212121212121212121212121212121212124444444444448888121212121212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-1-111-11-11
χ111111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-11-11-1-111-1-111-1-111-1-1111-11-1
χ131111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-1-11-1111-1-111-1-1-1-111-1-1111-1-11
χ141111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-111-111-111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-11-11-1-1-111-1-11111-1-111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000222200000000000000000000-2-200
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2002200000000-2-20000000000000000-2-2-2-2000000000000000000002200
χ192222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-10000-1-1-1-100000000
χ202222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-12-122-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20011110000111100000000
χ212222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-1-2-21111-2-2-1-111111111222200000000-2-200-1-1-1-10000111100000000
χ222222222-1222222-1-12-1-122-1-1-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-1-2-21111-2-2-1-111111111-2-2-2-200000000220011110000-1-1-1-100000000
χ23222222-122222-1-122-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000000220000-1-1-1-10000-1-1-1-10000
χ24222222-122222-1-122-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200001111000011110000
χ25222222-122222-1-122-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-111-2-2-2-211-1-11111111100002222000000-2-20000-1-1-1-1000011110000
χ26222222-122222-1-122-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-111-2-2-2-211-1-1111111110000-2-2-2-200000022000011110000-1-1-1-10000
χ272222-2-222-222-22222222-2-2-2-2222-222-2222222-2-200-2-200000000-2-2000000000000000022-2-200000000000000000000-2200
χ282222-2-222-222-22222222-2-2-2-2222-222-2222222-2-200-2-200000000-2-20000000000000000-2-222000000000000000000002-200
χ292222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-11111112-12-21122-1-111-2-2-1-1-1-1-1-1111122-2-2000000002-200-1-1110000-1-11100000000
χ302222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-11111112-12-21122-1-111-2-2-1-1-1-1-1-11111-2-22200000000-220011-1-1000011-1-100000000
χ312222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-11111112-1-2211-2-211-1-122-1-11111-1-1-1-122-2-200000000-2200-1-111000011-1-100000000
χ322222-2-22-12-2-2222-1-12-1-1-2-211-1-1-12-2-2-11111112-1-2211-2-211-1-122-1-11111-1-1-1-1-2-222000000002-20011-1-10000-1-11100000000
χ332222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-1112-2-21111-122-211-1-122-2-211-1-1-1-1-1-11111000022-2-20000002-20000-1-1110000-1-1110000
χ342222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-1112-2-21111-122-211-1-122-2-211-1-1-1-1-1-111110000-2-222000000-22000011-1-1000011-1-10000
χ352222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-1112-2-21111-12-221111-2-222-1-1-1-11111-1-1-1-1000022-2-2000000-220000-1-111000011-1-10000
χ362222-2-2-122-2-22-1-122-12-111-2-2-1-1-1-1112-2-21111-12-221111-2-222-1-1-1-11111-1-1-1-10000-2-2220000002-2000011-1-10000-1-1110000
χ3722-2-22-22222-2-22-2-2-2-2222-22-22-2-222-222-222-2-2-2-2002-2000000002-2000000002-22-20000000000002-22-20000000000000000
χ3822-2-22-22222-2-22-2-2-2-2222-22-22-2-222-222-222-2-2-2-2002-2000000002-200000000-22-22000000000000-22-220000000000000000
χ3922-2-22-222-2-2222-2-2-2-2222-22-22-2-2-2-22-2-22-2-22222002-200000000-220000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000
χ4022-2-22-222-2-2222-2-2-2-2222-22-22-2-2-2-22-2-22-2-22222002-200000000-22000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000
χ4122-2-22-22-122-2-22-211-2-1-12-2-11-11122-2-1-11-1-111-2100-11003−33−300-1133−3−333−3−32-22-2000000000000-11-1100003−33−300000000
χ4222-2-22-22-122-2-22-211-2-1-12-2-11-11122-2-1-11-1-111-2100-11003−33−300-1133−3−333−3−3-22-220000000000001-11-10000−33−3300000000
χ4322-2-22-22-122-2-22-211-2-1-12-2-11-11122-2-1-11-1-111-2100-1100−33−3300-11−3−333−3−3332-22-2000000000000-11-110000−33−3300000000
χ4422-2-22-22-122-2-22-211-2-1-12-2-11-11122-2-1-11-1-111-2100-1100−33−3300-11−3−333−3−333-22-220000000000001-11-100003−33−300000000
χ4522-2-22-2-12-2-222-11-2-212-1-112-2-11111-1-2-2211-1-1-1200-113−300003−31-13−33−33−33−300002i−2i2i−2i000000000000−ii−ii0000−i3i3−i3i30000
χ4622-2-22-2-12-2-222-11-2-212-1-112-2-11111-1-2-2211-1-1-1200-113−300003−31-13−33−33−33−30000−2i2i−2i2i000000000000i−ii−i0000i3−i3i3−i30000
χ4722-2-22-2-12-2-222-11-2-212-1-112-2-11111-1-2-2211-1-1-1200-11−330000−331-1−33−33−33−3300002i−2i2i−2i000000000000−ii−ii0000i3−i3i3−i30000
χ4822-2-22-2-12-2-222-11-2-212-1-112-2-11111-1-2-2211-1-1-1200-11−330000−331-1−33−33−33−330000−2i2i−2i2i000000000000i−ii−i0000−i3i3−i3i30000
χ4922-2-2-22222-22-22-2-2-2-222-22-222-2-22-222-22-2-222-2-200-22000000002-2000000002-2-220000000000002-2-220000000000000000
χ5022-2-2-22222-22-22-2-2-2-222-22-222-2-22-222-22-2-222-2-200-22000000002-200000000-222-2000000000000-222-20000000000000000
χ5122-2-2-2222-22-222-2-2-2-222-22-222-2-2-22-2-22-222-2-22200-2200000000-220000000000002i−2i−2i2i0000000000002i−2i−2i2i000000000000
χ5222-2-2-2222-22-222-2-2-2-222-22-222-2-2-22-2-22-222-2-22200-2200000000-22000000000000−2i2i2i−2i000000000000−2i2i2i−2i000000000000
χ5322-2-2-222-12-22-22-211-2-1-1-221-1-1112-22-11-111-1-1-21001-1003−3−3300-1133−3−3−3−3332-2-22000000000000-111-100003−3−3300000000
χ5422-2-2-222-12-22-22-211-2-1-1-221-1-1112-22-11-111-1-1-21001-1003−3−3300-1133−3−3−3−333-222-20000000000001-1-110000−333−300000000
χ5522-2-2-222-12-22-22-211-2-1-1-221-1-1112-22-11-111-1-1-21001-100−333−300-11−3−33333−3−32-2-22000000000000-111-10000−333−300000000
χ5622-2-2-222-12-22-22-211-2-1-1-221-1-1112-22-11-111-1-1-21001-100−333−300-11−3−33333−3−3-222-20000000000001-1-1100003−3−3300000000
χ5722-2-2-22-12-22-22-11-2-212-11-1-22-1111-11-22-2-1-111-12001-13−30000−331-13−33−3−33−3300002i−2i−2i2i000000000000−iii−i0000−i3i3i3−i30000
χ5822-2-2-22-12-22-22-11-2-212-11-1-22-1111-11-22-2-1-111-12001-13−30000−331-13−33−3−33−330000−2i2i2i−2i000000000000i−i−ii0000i3−i3−i3i30000
χ5922-2-2-22-12-22-22-11-2-212-11-1-22-1111-11-22-2-1-111-12001-1−3300003−31-1−33−333−33−300002i−2i−2i2i000000000000−iii−i0000i3−i3−i3i30000
χ6022-2-2-22-12-22-22-11-2-212-11-1-22-1111-11-22-2-1-111-12001-1−3300003−31-1−33−333−33−30000−2i2i2i−2i000000000000i−i−ii0000−i3i3i3−i30000
χ614444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-4-4-42222222-4200-2-2000000002200000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-244-24-2-2-244-2-2-2222-4-4-422222-400-2-2000000002200000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-24411-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-4112222222211-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-122001100000000-1-13-3-333-3-33000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-1-1-122001100000000-1-1-333-3-333-3000000000000000000000000000000000000
χ674444-4-44-2-444-444-2-24-2-2-4-422-2-2-2-4442-2-2-2-2-2-2-420022000000002200000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2-244-24-222-4-4-2-2-22-2-2-444-2-2-2-22-40022000000002200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-222-1-1-1-1-2-24-4-1-1-2-2-2-22222111111-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-222-1-1-1-1-2-2-44-1-12222-2-2-2-211-1-1-1-11111000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-22-2-211112200-1-100000000-1-13-3-33-333-3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-22-2-211112200-1-100000000-1-1-333-33-3-33000000000000000000000000000000000000
χ7344-4-44-44-2-4-4444-422-4-2-24-4-22-222-4-4422-222-2-24-200-22000000002-200000000000000000000000000000000000000000000
χ7444-4-44-4-2444-4-4-22-4-424-2-224-4-222-2-2244-4-2-2222-400-2200000000-2200000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-22222-21-22-221-1-1-2-22-2-2211-1-122001-10023−2323−23001-1−3−333−3−333000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4-22222-21-22-221-1-1-2-22-2-2211-1-122001-100−2323−2323001-133−3−333−3−3000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-22222-21-22-221-1-122-222-2-1-111-2-2001-123−23000023−23-11−33−33−33−33000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444-22222-21-22-221-1-122-222-2-1-111-2-2001-1−23230000−2323-113−33−33−33−3000000000000000000000000000000000000
χ7944-4-4-444-2-44-444-422-4-2-2-442-2-222-44-42-22-2-2224-2002-2000000002-200000000000000000000000000000000000000000000
χ8044-4-4-44-244-44-4-22-4-424-22-2-44-222-22-24-4422-2-22-4002-200000000-2200000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-22222-212-22-21-1-1-22-2-22-2-1-1112200-110023−23−2323001-1−3−33333−3−3000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-22222-212-22-21-1-1-22-2-22-2-1-1112200-1100−232323−23001-133−3−3−3−333000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-22222-212-22-21-1-12-222-2211-1-1-2-200-1123−230000−2323-11−33−333−33−3000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-22222-212-22-21-1-12-222-2211-1-1-2-200-11−2323000023−23-113−33−3−33−33000000000000000000000000000000000000
χ854-44-400440000-444-4-4-440000-44-40000000000000000000000000000000000000000004-400000000000000000000000000
χ864-44-400440000-444-4-4-440000-44-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ874-4-4400440000-4-4-444-440000-4-44000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ884-4-4400440000-4-4-444-440000-4-4400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ898-88-8008-40000-88-44-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-48-84-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-400004-4-444420000-22-20000006i−6i6i−6i000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-4-444420000-22-2000000−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8-84-484-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48000044-88-4-8-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000444-4-4420000-2-220000006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000444-4-4420000-2-22000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000

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