Finite Group Databasebeta

← Group #11868755

Character table — Group #11868755

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444444444444444121212121212121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-1111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1
χ91111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-11-11-1
χ101111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-1-1-11111-11-11
χ111111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-11111-1-1-1-1-11-11
χ121111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-11-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111111-11-1
χ131111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1111-1-11
χ141111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-111-1-1-1111111-1-1-1-111-1-1-111-1
χ151111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-111-1
χ161111-1-1111-1-111111111-1-1-1-11111-1-11-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-111-1-111-1-111-1-11-1-11
χ1722222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000222200000000000000000000-2-200
χ1822222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000-2-2-2-2000000000000000000002200
χ192222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222000000002020-1-1-1-100-1-1-1-10000000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200000000-20-2011110011110000000000
χ212222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111222200000000-20-20111100-1-1-1-10000000000
χ222222222-1222222-1-1-12-122-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2111111-2-2111111-2-2-2-2000000002020-1-1-1-10011110000000000
χ23222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-100002222000002020000-1-10000-1-1-1-1-1-10000
χ24222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000-20-200001100001111110000
χ25222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-211110000222200000-20-20000110000-1-1-1-1110000
χ26222222-122222-1-1222-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1-1-2-2-1-111-2-2111111-2-211110000-2-2-2-2000002020000-1-100001111-1-10000
χ272222-2-222-222-22222222-2-2-2-2222-222-222-2-2-2-2-2-2-2-2002200000000000000000000000022-2-200000000000000000000-2200
χ282222-2-222-222-22222222-2-2-2-2222-222-222-2-2-2-2-2-2-2-20022000000000000000000000000-2-222000000000000000000002-200
χ292222-2-22-12-2-2222-1-1-12-1-2-211-1-1-12-2-2-111-1-12-1-1-1112-21122-1-1-1-1-1-1-2-211111122-2-20000000020-20-1-11100-1-1110000000000
χ302222-2-22-12-2-2222-1-1-12-1-2-211-1-1-12-2-2-111-1-12-1-1-1112-21122-1-1-1-1-1-1-2-2111111-2-22200000000-202011-1-10011-1-10000000000
χ312222-2-22-12-2-2222-1-1-12-1-2-211-1-1-12-2-2-111-1-12-1-1-111-2211-2-211111122-1-1-1-1-1-122-2-200000000-202011-1-100-1-1110000000000
χ322222-2-22-12-2-2222-1-1-12-1-2-211-1-1-12-2-2-111-1-12-1-1-111-2211-2-211111122-1-1-1-1-1-1-2-2220000000020-20-1-1110011-1-10000000000
χ332222-2-2-122-2-22-1-1222-1-111-2-2-1-1-1-1112-2-2-1-1-12-1-1112-211-1-122-1-1-1-111-2-21111000022-2-20000020-20000-1-10000-1-111110000
χ342222-2-2-122-2-22-1-1222-1-111-2-2-1-1-1-1112-2-2-1-1-12-1-1112-211-1-122-1-1-1-111-2-211110000-2-22200000-202000011000011-1-1-1-10000
χ352222-2-2-122-2-22-1-1222-1-111-2-2-1-1-1-1112-2-2-1-1-12-1-111-221111-2-21111-1-122-1-1-1-1000022-2-200000-2020000110000-1-111-1-10000
χ362222-2-2-122-2-22-1-1222-1-111-2-2-1-1-1-1112-2-2-1-1-12-1-111-221111-2-21111-1-122-1-1-1-10000-2-2220000020-20000-1-1000011-1-1110000
χ3722-2-22-22222-2-22-2-2-22-222-22-2-2-2222-222-222-2-2-2-22-2002-200000000000000002-22-20000000000000000002-22-20000000000
χ3822-2-22-22222-2-22-2-2-22-222-22-2-2-2222-222-222-2-2-2-22-2002-20000000000000000-22-22000000000000000000-22-220000000000
χ3922-2-22-222-2-2222-2-2-22-222-22-2-2-22-2-22-2-22-2-222222-200-22000000000000000000002i−2i2i−2i0000000000000000002i−2i2i−2i000000
χ4022-2-22-222-2-2222-2-2-22-222-22-2-2-22-2-22-2-22-2-222222-200-2200000000000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i000000
χ4122-2-22-22-122-2-22-211-1-2-12-2-1111-122-2-1-11-1-1-2111-1100-11003−333−3−3003−333−3−32-22-20000000000003−33−300-11-110000000000
χ4222-2-22-22-122-2-22-211-1-2-12-2-1111-122-2-1-11-1-1-2111-1100-11003−333−3−3003−333−3−3-22-22000000000000−33−33001-11-10000000000
χ4322-2-22-22-122-2-22-211-1-2-12-2-1111-122-2-1-11-1-1-2111-1100-1100−33−3−33300−33−3−3332-22-2000000000000−33−3300-11-110000000000
χ4422-2-22-22-122-2-22-211-1-2-12-2-1111-122-2-1-11-1-1-2111-1100-1100−33−3−33300−33−3−333-22-220000000000003−33−3001-11-10000000000
χ4522-2-22-2-12-2-222-11-2-221-1-112-211-111-1-2-2211-12-1-1-11001-1−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300002i−2i2i−2i0000000000003−30000−ii−ii3−30000
χ4622-2-22-2-12-2-222-11-2-221-1-112-211-111-1-2-2211-12-1-1-11001-1−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30000−2i2i−2i2i000000000000−330000i−ii−i−330000
χ4722-2-22-2-12-2-222-11-2-221-1-112-211-111-1-2-2211-12-1-1-11001-1i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300002i−2i2i−2i000000000000−330000−ii−ii−330000
χ4822-2-22-2-12-2-222-11-2-221-1-112-211-111-1-2-2211-12-1-1-11001-1i3−i300i3−i3i3−i3i3−i300i3−i3i3−i30000−2i2i−2i2i0000000000003−30000i−ii−i3−30000
χ4922-2-2-22222-22-22-2-2-22-22-22-22-2-222-222-2222-2-2-2-2-2200-2200000000000000002-2-220000000000000000002-2-220000000000
χ5022-2-2-22222-22-22-2-2-22-22-22-22-2-222-222-2222-2-2-2-2-2200-220000000000000000-222-2000000000000000000-222-20000000000
χ5122-2-2-2222-22-222-2-2-22-22-22-22-2-22-22-2-22-2-2-22222-22002-2000000000000000000002i−2i−2i2i0000000000000000002i−2i−2i2i000000
χ5222-2-2-2222-22-222-2-2-22-22-22-22-2-22-22-2-22-2-2-22222-22002-200000000000000000000−2i2i2i−2i000000000000000000−2i2i2i−2i000000
χ5322-2-2-222-12-22-22-211-1-2-1-221-111-12-22-11-1-1-1-21111-1001-1003−333−3−300−33−3−3332-2-220000000000003−3−3300-111-10000000000
χ5422-2-2-222-12-22-22-211-1-2-1-221-111-12-22-11-1-1-1-21111-1001-1003−333−3−300−33−3−333-222-2000000000000−333−3001-1-110000000000
χ5522-2-2-222-12-22-22-211-1-2-1-221-111-12-22-11-1-1-1-21111-1001-100−33−3−333003−333−3−32-2-22000000000000−333−300-111-10000000000
χ5622-2-2-222-12-22-22-211-1-2-1-221-111-12-22-11-1-1-1-21111-1001-100−33−3−333003−333−3−3-222-20000000000003−3−33001-1-110000000000
χ5722-2-2-22-12-22-22-11-2-221-11-1-2211-11-11-22-211-12-1-11-100-11−i3i300−i3i3−i3i3i3−i300i3−i3i3−i300002i−2i−2i2i0000000000003−30000−iii−i−330000
χ5822-2-2-22-12-22-22-11-2-221-11-1-2211-11-11-22-211-12-1-11-100-11−i3i300−i3i3−i3i3i3−i300i3−i3i3−i30000−2i2i2i−2i000000000000−330000i−i−ii3−30000
χ5922-2-2-22-12-22-22-11-2-221-11-1-2211-11-11-22-211-12-1-11-100-11i3−i300i3−i3i3−i3−i3i300−i3i3−i3i300002i−2i−2i2i000000000000−330000−iii−i3−30000
χ6022-2-2-22-12-22-22-11-2-221-11-1-2211-11-11-22-211-12-1-11-100-11i3−i300i3−i3i3−i3−i3i300−i3i3−i3i30000−2i2i2i−2i0000000000003−30000i−i−ii−330000
χ614444444-2-4-4-4-444-2-2-24-244-2-2-2-2-2-4-4-422222-4222-2-200220000000000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2444-2-2-2-244-2-2-2222-4-4-4222-422-2-200220000000000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-211114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-211-2-21111-4-4112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-122-1-11100-1-100003i−3i−3i3i00003i−3i−3i3i000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111222222-1-122-1-11100-1-10000−3i3i3i−3i0000−3i3i3i−3i000000000000000000000000000000000000
χ674444-4-44-2-444-444-2-2-24-2-4-422-2-2-2-4442-2-222-42222200-2-20000000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2-2444-2-222-4-4-2-2-22-2-2-444222-4222200-2-20000000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-22211-2-211-1-14-4-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222111-222-22211-2-211-1-1-44-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-22-2-2-1-122-1-1-1-1001100003i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-2122221112-2-22-2-2-1-122-1-1-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ7344-4-44-44-2-4-4444-422-2-4-24-4-2222-2-4-4422-2224-2-2-2-22002-20000000000000000000000000000000000000000000000000000
χ7444-4-44-4-2444-4-4-22-4-442-2-224-422-2-2-2244-4-2-22-422-2200-220000000000000000000000000000000000000000000000000000
χ7544-4-44-4-2-244-4-4-2222-221-22-22-1-11-2-22-2-221122-1-11-1001-10023−23−3−3330023−23−3−333000000000000000000000000000000000000
χ7644-4-44-4-2-244-4-4-2222-221-22-22-1-11-2-22-2-221122-1-11-1001-100−232333−3−300−232333−3−3000000000000000000000000000000000000
χ7744-4-44-4-2-2-4-444-2222-221-22-22-1-1122-222-2-1-1-2-2111-100-11−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ7844-4-44-4-2-2-4-444-2222-221-22-22-1-1122-222-2-1-1-2-2111-100-112i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ7944-4-4-444-2-44-444-422-2-4-2-442-222-2-44-42-22224-2-2-22-200-220000000000000000000000000000000000000000000000000000
χ8044-4-4-44-244-44-4-22-4-442-22-2-4422-2-22-24-44-2-22-4222-2002-20000000000000000000000000000000000000000000000000000
χ8144-4-4-44-2-24-44-4-2222-2212-22-2-1-11-22-2-22-21122-1-1-1100-110023−23−3−33300−232333−3−3000000000000000000000000000000000000
χ8244-4-4-44-2-24-44-4-2222-2212-22-2-1-11-22-2-22-21122-1-1-1100-1100−232333−3−30023−23−3−333000000000000000000000000000000000000
χ8344-4-4-44-2-2-44-44-2222-2212-22-2-1-112-222-22-1-1-2-211-11001-1−2i32i300i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ8444-4-4-44-2-2-44-44-2222-2212-22-2-1-112-222-22-1-1-2-211-11001-12i3−2i300−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ854-44-400440000-444-4-4-4400004-4-40000000000000000000000000000000000000000004-400000000000000000000000000
χ864-44-400440000-444-4-4-4400004-4-4000000000000000000000000000000000000000000-4400000000000000000000000000
χ874-4-4400440000-4-4-44-4440000-44-4000000000000000000000000000000000000000000004i−4i000000000000000000000000
χ884-4-4400440000-4-4-44-4440000-44-400000000000000000000000000000000000000000000−4i4i000000000000000000000000
χ898-88-8008-40000-88-444-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-800-4800004-48-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-800-4-400004-4-4444200002-2-20000006i−6i006i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-4-4444200002-2-2000000−6i6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-8-84-448-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48000044-88-8-4-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40000444-44-420000-22-20000006i−6i00−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40000444-44-420000-22-2000000−6i6i006i−6i0000000000000000000000000000000000000000000000000000000000

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